If a = -2 and b = 3, what is the value of -3a²b?

Answers

Answer 1

Answer:

-36

Step-by-step explanation:

-3[tex]a^{2}[/tex]b  Substitute -2 for a and 3 for b

-3[tex](-2)^{2}[/tex](3)

-3(4)(3)

-36

Answer 2

Answer:

= -36

Step-by-step explanation:

-3a²b

if:

a = -2

b = 3

Then:

= -3*-2²*3

= -3(-2*-2) * 3

= -3*4*3

= -36


Related Questions

Can anyone help me with geometry

Answers

By analytic geometry, the resulting expression for the value t in the geometric system formed by two parallel lines is t = b + n.

How to derive an expression associate to the slope of two parallel lines

In this question we find the case of two parallel lines, in which we are asked to derive an equation to replace the value t seen in the figure. By analytic geometry, two lines are parallel when they have the same slope. Slope is defined by the following formula:

m = Δy / Δx

Where:

Δx - Change in the independent variable.Δy - Change in the dependent variable.m - Slope

The slope of each line is described below:

Line j

m = (t - a - n) / (x₂ - x₁)

Line k

m' = (b - a) / (x₂ - x₁)

Then, we eliminate m, m' and (x₂ - x₁) by assumption of parallelism:

t - a - n = b - a

t - n = b

t = b + n

To learn more on slopes of lines: https://brainly.com/question/28030738

#SPJ1

How many square tiles of side 40 cm are needed to cover a wall of size 4m by 3.6m?

Answers

Tiles are needed = 90

The number of tiles measuring 40cm by 40cm  that are needed to completely cover a wall 4m by 3.6m is 90.

Squares

Square,  a plane figure with four equal sides and four right (90°) angles. A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one).

Number of tiles needed

Convert the Meters to Centimeters

4m = 400cm

3.6m = 360 cm

Then

4m by 3.6m = 400 cm × 360 cm

4m by 3.6m = 144000 cm²

Tiles are needed

Number of needed tiles =  144000 cm² / ( 40 cm × 40 cm)

Number of needed tiles =  144,000 cm² /1600 cm²

Number of needed tiles =  90

Tiles are needed = 90

To learn more about Squares visit:

brainly.com/question/14198272

#SPJ4

A piñata is a container filled with toys and candy and is broken open by hitting it with a stick. Sophia is trying to break the piñata. The probability that she will break the piñata on the first hit is 0.7. She will continue to hit the piñata until it breaks. If she does not break the piñata on a particular hit, the piñata is weakened and the probability that she will break it on the next hit is 0.1 greater than the probability on the previous hit. For example, if the piñata does not break on the first hit, the probability that it will break on the second hit is 0.8.
(a) Calculate the probability that Sophia docs.not break the piñata on the first hit and does break the piñata on the second hit. Let the random variable X represent the number of hits required for Sophia to break the piñata.
(b) Complete the probability distribution of X in the table below Probability of x 0.7

Answers

The probability that Sophia does not break the piñata on the first hit and does break the piñata on the second hit is of:

0.24 = 24%.

How to calculate the probability?

In the context of a problem, a probability is calculated as the division of the number of desired outcomes divided by the number of total outcomes.

In the context of this problem, these probabilities are given by the percentages/proportions stated in the problem.

The probability that Sophia does not break the piñata on the first hit and does break the piñata on the second hit is calculated considering these two outcomes given as follows:

First outcome -> does not break -> 0.3 probability.Second outcome -> breaks -> 0.8 probability.

The probability is calculated as the multiplication of these outcomes, as follows:

p = 0.3 x 0.8 = 0.24 = 24%.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Which statements are true about box plots? Check all that apply.
They help describe sets of data.
They include the mean.
They show the data split into four parts.
They show outliers through really short “whiskers.”
Each section of a box plot represents 25% of the data.

Merry Christmas!

Answers

The true statements are they help describe sets of data, they show the data split into four parts and each section of a box plot represents 25% of the data.

What is the box-and-whisker plot?

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

The box plot is also called box-and-whisker plot.

The data is divided into sections by box plots, with each section containing around 25% of the total data.

Box plots are useful as:

They offer a visual overview of the data,

making it simple for researchers to spot skewness,

the dispersion of the data set.

The minimum value, first quartile, median, third quartile, and maximum value are the five values that make up a box plot.

And they don't include mean.

From the above discussion,

we have three statements that are true and those statements are;

they help describe sets of data, they show the data split into four parts and each section of a box plot represents 25% of the data.

Therefore, the correct statements are A, C and E.

To learn more about the box-and-whisker plot;

https://brainly.com/question/2742784

#SPJ1

10. assume that the annual earnings of 23 college students are used in a simple random sample with a mean of $4590 and a standard deviation of $860. construct a confidence interval for the standard deviation if we want a 99% confidence level for our interval

Answers

Using the t-distribution, the 99% confidence intervals for the given standard deviation are given as follows: (5053.39 , 4126.61)

Given that,

Number of college students = 23

A simple random sample with a mean = $4590

A simple random sample with a standard deviation = $860

What is a t-distribution confidence interval?

The t distributions is wide (has thicker tailed) for smaller sample sizes, reflecting that s can be smaller than σ. The thick tails ensure that the 80%, 95%, 99% confidence intervals are wider than those of a standard normal distribution (so are better for capturing the population mean).

The confidence interval is:

= μ ± [tex]t\frac{s}{\sqrt{n} }[/tex]

In which:

μ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 99% confidence interval, with 23 - 1 = 22 df,

Upon using a t -table or a calculator, we see that the critical t -value for this 99% confidence interval is t0.005=2.581

The parameters are:

μ = $4590

n = 23

Hence, with s = 860, the bounds of the interval are:

= μ ± [tex]t\frac{s}{\sqrt{n} }[/tex]

= 4590 ± 2.581 [tex]\frac{860}{\sqrt{23} }[/tex]

= 4590 ± 2.581 [tex]\frac{860}{4.79}[/tex]

= 4590 ± 2.581 (179.54)

= 4590 ± 463.39

Then,

= 4590 + 463.39   ,      4590 - 463.39

= 5053.39              ,       4126.61

Therefore,

Using the t-distribution, the 99% confidence intervals for the given standard deviation are given as follows: (5053.39 , 4126.61)

To learn more about Standard deviation visit :

brainly.com/question/28306508

#SPJ4

if 3x โ 7 < 29, then which of the following must be true?; if x, y, and z are whole numbers greater than 2, and if xyz2 = 735, what is the value of x + y + z ?

Answers

The value of x + y +z is 15.

A whole number is what?

a variety of numbers that contains both zero and the natural number.

Fractions and decimals are excluded.

Real numbers that are not divisible by two are referred to be odd numbers.

X, Y, and Z are all full numbers in the equation.

x, y, and z all have values larger than 2.

xyz² = 735

A value for x + y + z must be found.

Assuming x = 3, the preceding statement results in y = 5 and z = 7

These are odd numbers with a difference of 2 and are greater than 2.

They must satisfy the condition that xyz2 = 735.

= 3 * 5 * 7²

= 735

These are the variables' values and as a result,

The sum of x, y, and z equals.

To know more about Whole Number at:

brainly.com/question/19161857

#SPJ4

If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.

Answers

Proving  X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e".

Given :

If I can prove that X is c.e. and ω∖X is c.e. then I can prove that X is computable by the theorem "Let W⊆ω. Then W is computable if both W and ω∖W are c.e". But I'm not able to proceed on how should I do this.

Take a computable surjection :

f : ω → W.

Defined  G = { f ( x ) ∣ x ∈ ω and ∀y < x ( f ( y ) < f ( x ) ) }.

here clearly, G ⊆ W .

And G is infinite. For if f ( x ) ∈ G, take the smallest y such that f ( y ) > f ( x ); then f ( y ) ∈ V.

Learn more about the theorem here:

https://brainly.com/question/12642646

#SPJ4

Which is an example of the commutative property of addition?

A. 4+(1+2)=(4+1)+2
B. 2+2=3+1
C. 2+3=2+4
D. 4+3=3+4

Answers

The example of the commutative property of addition is option (D) 4 + 3 = 3 + 4

The commutative property of the addition states that changing the order of the numbers or the variable does not affect the result of sum

The commutative property of addition is

A + B = B + A

Here the position of the variable A and B are changed but still the result is same

From the given option

The example that shows the commutative property of  addition is

4 + 3 = 3 + 4

Here the position of the 3 and 4 changed, but the result will be

7 = 7

Therefore, the correct example is option D) 4 + 3 = 3 + 4

Learn more about commutative property  here

brainly.com/question/778086

#SPJ4

given the following data points: and the linear least squares model we want to use the normal equation to solve the above linear least squares problem, which is equivalent to solving a linear system of equations with the form: what would be the right hand side of this linear system?

Answers

The properties of the unique solution of the system AX=B depend on the matrix of the system. That is, it depends only on the coefficients on the left side. RHS configuration is not the issue.

The method of least squares is an important statistical technique practiced to find the regression line or the best fit line for a particular pattern. This procedure is described by an equation with specific parameters. The method of least squares is used liberally in analysis and regression. In regression analysis, this method is a standard approach to approximating a system of equations using more equations than unknowns.

The least squares method actually defines a solution to minimize the resulting sum of squares or error for each equation. Find the formula for the sum of squared errors to help find the variation in the observed data.

The least squares method is often used in data fitting. A best fit result is assumed to reduce the sum of squared errors or residuals reported as the difference between the observed or experimental values ​​and the corresponding fitted values ​​in the model.

Linear System of Equation:

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

A linear system of three variables determines the collection of levels. Intersection is the solution.

For example,

3x + 2y -z =1 , 2x - 2y + 4z =-2

Learn more about Linear Least Square :

https://brainly.com/question/2141008

#SPJ4

rhombuses are special parallelograms true or false; which polygon is a pentagon?; a square is a special rhombus; why is a parallelogram not the same type of quadrilateral is a trapezoid; a square is a specific type of parallelogram true or false; why is a square a special parallelogram

Answers

Yes Rhombuses are special parallelograms is true statement. Yes square is also a special rhombus. True square is a specific type of parallelogram.

What is parallelograms?

A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.

A parallelogram has adjacent angles that add up to 180 degrees.

rhombuses is a quadrilateral with all the four sides having equal lengths.

In a rhombus, the opposite sides are parallel and equal. Hence, it is a parallelogram.

So  rhombuses are special parallelograms this statement is true.

A square is a special rhombus Yes that is true

The sides of a square and a rhombus are both the same length. A rhombus only has its opposite angles equal, whereas a square has all of its angles at 90 degrees.

why is a parallelogram not the same type of quadrilateral is a trapezoid?

Since they both have four sides, it is obvious that a trapezoid and a parallelogram are quadrilaterals. There are at least one set of parallel sides in a trapezoid. Two sets of parallel sides make up a parallelogram. Therefore, a trapezoid is not a parallelogram if it has only one pair of parallel sides.

a square is a specific type of parallelogram this statement is true.

A square is a quadrilateral in two dimensions that has four equal sides and four equal angles. It is a unique parallelogram with equal angles and sides.

To know more about geometric figures here

https://brainly.com/question/29664298

#SPJ4

what's 2| -9| - | -2|

Answers

Answer:

9

Step-by-step explanation:

2|-9| - |-2|

=2+9-2 the negative number becomes positve when it come out of absolute value

=11-2

=9

the spearman correlation coefficient differs from the pearson correlation coefficient in that only the spearman correlation coefficient makes use of significance testing

Answers

The Spearman correlation coefficient is used to calculate a significance test, whereas the Pearson correlation coefficient is not.

The Spearman correlation coefficient is a non-parametric measure of correlation that uses ranks rather than raw data to assess the strength of the relationship between two variables. This makes it more robust than the Pearson correlation coefficient, which relies on the assumption that the two variables have a normal distribution. Additionally, Spearman correlation coefficients are used to measure the degree of monotonicity between two variables, while Pearson correlation coefficients are not. Finally, the Spearman correlation coefficient is used to calculate a significance test, whereas the Pearson correlation coefficient is not.

Learn more about correlation coefficient here :

https://brainly.com/question/3900657

#SPJ4

The standard deviation of returns averages28 percent. The options mature in 5 years and the risk-freerate is 2.36 percent. What is the value of e−Rt?

Answers

The value of e⁻ᴿᵗ is 0.8886 for the given the standard deviation of returns averages 28 percent with the options mature in 5 years and the risk-free rate is 2.36 percent.

So, the correct option is option ( C).

Exponential function is characterized by rapid increase (as in size or extent) and an exponential growth rate.

We have given that,

standard deviation of returns averages = 28%

options mature, t = 5 years and

Risk-free rate , R = 2.36 percent.

we have to calculate the value of e−Rt.

Exp(-Rt) = e⁻⁽²·³⁶⁾⁵

use exp(value) function to find the value :

=exp(-5 × 2.36%)

= exp(- 0.118 )

=0.8886

Hence, the the value of e⁻ᴿᵗ is 0.8886.

To learn more about Exponential function, refer:

https://brainly.com/question/9330192?

#SPJ4

Complete question:

I. M. Greedy has been granted options on 500,000 shares. The stock is currently trading at $48 a share and the options are at the money. The standard deviation of returns averages 28 percent. The options mature in 5 years and the risk-free rate is 2.36 percent. What is the value of e-rt?

a) .7087

b) .8476

c) .8886

d) .6087

e) .7952

The weights of bags of raisins are normally distributed with a mean of 175 grams and a standard deviation of 11 grams. Bags in the upper 4.5% are too heavy and must be repackaged. Also, bags in the lower 5% do not meet the minimum weight requirement and must be repackaged. What are the ranges of weights for raisin bags that need to be repackaged? Use Excel, and round your answers to the nearest integer. Provide your answer below Repackaging has to be done if the weights are less than lI grams and more than grams

Answers

The solution is 194, rounded to the closest whole number. Thus, x2≈194. In light of this, the weight ranges for raisin bags that require new packaging are less than 157 grams and also more than 194 grams.

What is  standard deviation ?

A statistic called the standard deviation describes how much variation or dispersion there is in a set of statistics .In contrast to a high standard deviation, which shows that the values are spread out, a low standard deviation suggests that the values tend to be close to the mean of the collection. out over a wider range.

Here,

In this instance, the standard deviation is 11 and the mean is 175. Assume that x1 is the heaviest weight at which the bags fall into the lower 5% and x2 is the lightest weight at which they fall into the upper 4.5%. 5% of the time, and 4.5% of the time, the likelihood is below x1 and above x2. The raisin bags should fall below x1 and above x2 if they need to be repackaged. The points x1 and x2 are illustrated in the image below.

1 x 0.045 x 0.05 = 0.905 is the probability between x1 and x2. Below is a picture of the normal distribution curve for raisins bag weights.

To calculate x1 and x2, locate x1 first. To the left of x1, there is a 0.05 probability. To find x1, use Excel. 1. Start Excel. Toggle a cell that is empty. Press ENTER after typing =NORM.INV(0.05,175,11).

The answer is 157, rounded to the nearest whole number. Thus, x1≈157. To compute x2, use the formula 0.05+0.905=0.955 for the probability to the left of x2. To determine x2, use Excel. Start Excel. Toggle a cell that is empty. Enter the command =NORM.INV(0.955,175,11).

The solution is 194, rounded to the closest whole number. Thus, x2≈194. In light of this, the weight ranges for raisin bags that require new packaging are less than 157 grams and also more than 194 grams.

To know more about standard deviation , visit

https://brainly.com/question/23907081

#SPJ4

use interval notation to express the set of real numbers $x$ that satisfies the inequality $(x 2)(x-5) < 0$.

Answers

x -2 and x 5 provide the solution to the system of inequalities.

A collection of equations with the same variables is known as a system of equations. The only difference is that you're working with inequalities rather than equations in a system of inequalities. Finding the variable values that will make each inequality true simultaneously is necessary to solve a system like this.

(x+2)(x-5) 0, according to the inequality formula.

The inequality's zeros will be provided by the inequality's zeros, as demonstrated:

(x+2)(x-5) < 0.

(x+2) < 0

x < -2

Similarly;

x - 5 < 0

x < 5

Thus, x -2 and x 5 provide the solution to the system of inequalities.

Learn more about inequalities here :

https://brainly.com/question/24372553

#SPJ4

which graph represents the equation x2 8y

Answers

Therefore by making a line through following points we can make graph which is parabola in shape

What is equation ?

Two things are equal, according to an equation. Like this: 9 + 2 = 11 . It will have an equivalent sign "=". According to that equation, "this equals that" is expressed as "what is on the left (9 + 2) is equal to what is on the right (11).

Here,

Given Equation : x² = 8y

Given Equation agrees with conventional equation of parabola on positive y-axis

x² = 4ay

Comparison of the two equations yields,

4a = 8 ⇒ a = 2

Focus of parabola = ( 0 , 2 ) ( 0 , 2 )

Parabola vertex equals ( 0 , 0 )

Axis of Symmetry = y-axis

To sketch its, we find some points

with x = 4 or -4 we get

4² = 8y ⇒ 16 = 8y ⇒ y = 2

So, points are ( 4 , 2 ) and ( -4 , 2 ) ( -4 , 2 )

we obtain when x = 8 or -8.

(-8)² = 8y ⇒ 64 = 8y ⇒ y = 8

So, points are ( 8 , 8 ) and ( -8 , 8 ) ( -8 , 8 )

Therefore by making a line through following points we can make graph which is parabola in shape

To know more about equation , visit

https://brainly.com/question/10413253

#SPJ4

The correct question is :-

Which graph represents the equation x2 = 8y?

what is the expression?

Answers

-28 + 15

We see the key word that the highest temperature was 15 degrees HIGHER than the lowest temperature. That tells us that we need to add 15 to the lowest temperature (-28) to get the answer of highest temperature.

Complete the fraction to make a true inequality, and explain your reasoning


4 × < 4
3




I know this because the fraction I made

Answers

It is true. Look at the picture
Your welcome
Brainiest and thanks would be nice

Transformations please hep will give brainliest

Answers

Answer:

c

Step-by-step explanation:

Question 2 Find the margin of error for the survey results described. In a survey of 125 adults, 30% said that they had tried acupuncture at some point in their lives. Give your answer as a decimal to three decimal places. a. 0.045 b. 0.089 c. 0.179 d. 0.008

Answers

There are 125 participants in this sample. Thus, the margin of error = (1.96) x (0.5/√125) = 0.089

Margin of Error = (Critical value) x (Standard Deviation/Square root of Sample Size)

Critical value = 1.96

Standard Deviation = (30% x 70%)^0.5 = 0.5

Sample Size = 125

Therefore, Margin of Error = (1.96) x (0.5/√125) = 0.089

The margin of error for the survey results described can be calculated using the formula (Critical value) x (Standard Deviation/Square root of Sample Size). A 95% confidence interval's critical value is 1.96.The standard deviation is calculated by taking the square root of the product of the sample proportion (30%) and its complement (70%). There are 125 participants in this sample. Thus, the margin of error = (1.96) x (0.5/√125) = 0.089

Learn more about sample here

https://brainly.com/question/25894237

#SPJ4

Find the Simple Interest for a $15,000 loan with
R 8% interest at 3 years.

Answers

Simple interest= P x R x T/ 100

SI= 15000 x 8% x 3/ 100

= 3600/100
= 36

I need help with the 1st question please

Answers

When it come to figuring taxes what you have to do is multiply the amount by what percent the tax is then you add or subtract from the amount. If you don't know how to convert a percentage to a decimal divide the percentage by 100. Always remember to round to the nearest hundredths when dealing with money.

SS: $125 x 0.062 = $7.75    Med: $125 x 0.0145 = $1.81

SS: $432 x 0.062 = $26.78    Med: $432 x 0.0145 = $6.26

SS: $241 x 0.062 = $14.94    Med: $241 x 0.0145 = $3.49

SS: $1,562 x 0.062 = $96.84    Med: $1,562 x 0.0145 = $22.65

heather poured 11 gallons of water into an empty tank. It filled the tank, so it was 2/5 full. How many gallons in a full tank

Answers

Answer: 27.5 gallons in a full tank

Step-by-step explanation:

Let's call "x" the entire tank.

After adding 11 gallons, in the end, he has 2/5 tanks full

so the equations would be

11=2/5x

solve for x

x=55/2

x=27.5

27.5 gallons

write a while loop to read integers from input until -1 is read. for each integer read before -1, add the integer minus four to vector inputintegers.

Answers

The integer minus four to vector input integers:

# Python program to count positive and negative numbers in a List
# list of numbers
list1 = [10, -21, 4, -45, 66, -93, 1]
pos_count, neg_count = 0, 0
# iterating each number in list
for num in list1:
  # checking condition
  if num >= 0:
      pos_count += 1
  else:
      neg_count += 1
print("Positive numbers in the list: ", pos_count)
print("Negative numbers in the list: ", neg_count)

What is loop in python?

A for loop is used for iterating over a sequence (that is either a list, a tuple, a dictionary, a set, or a string). This is less like the for keyword in other programming languages, and works more like an iterator method as found in other object-orientated programming languages.
Using a for loop, count both positive and negative numbers from a specified list. Use a for loop to iterate each member in the list, then check to see if the positive number test is true by seeing if num >= 0.
Increase the positive count if the condition is true; else, increase the negative count.

Learn more about loop link below

https://brainly.com/question/19344465

#SPJ1

ANSWER QUICK!!
question and answer choices in the picture below

Answers

Answer: B

Step-by-step explanation:

A basketball player has a constant probability of 0.4 of making any given shot, independent of previous shots. Let an be the ratio of shots made to shots attempted after n shots. The probability that a10 = 0.4 and an ≤ 0.4 for all n such that 1 ≤ n ≤ 9 is given to be p^aq^br/s^c where p,q,r and s are primes, and a, b, and c are positive integers. Find (p+q+r+s)(a+b+c)

Answers

The value of (p+q+r+s) / (a+b+c) is 3.66 if the basketball player has probability 0.4 to make a perfect shot.

We know that if probability is given for r distribution and if question is asking distribution for n terms, we need to use binomial probability distribution which is given by [tex]^nC_r[/tex][tex]p^r[/tex][tex]q^r[/tex] where p is defined as the success probability and q is called as failure probability.

We have success probability =0.4

Failure probability(q) = 1-p=1-0.4=0.6

From 9 terms, we need to choose single term having success probability =0.4 and failure probability=0.6

So, this can be given by =[tex]^9C_1[/tex] × (0.4)¹ ×(0.6)⁹⁻¹

which is equivalent to =9 × (0.4) × (0.6)⁸

On comparing with the given equation =([tex]p^a[/tex] × [tex]q^b[/tex]×[tex]r^d[/tex]) / [tex]s^c[/tex] ,we get

p=9,a=1,q=0.4,b=1,r=0.6,d=8,s=1,c=1.

So,value of p+q+r+s = 9+0.4+0.6+1=11

and value of a + b + c = 1+1+1=3

So, value of (p + q + r + s) / (a + b + c)= 11 / 3=3.66

Hence, required value is 3.66

To know more about probability, visit here:

https://brainly.com/question/11234923

#SPJ4

Which of the following statement is true about triangle inequalities?

Answers

The statement which is true about triangle inequalities is that the sum of the lengths of the 2 sides of a triangle is equal than the third side of the triangle.

What are triangle inequalities?

In Euclidean geometry, triangle inequalities are a theorem which states that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In shorts, the theorem states that the shortest distance between two points is a straight line.

If the length of a side is equal to the sum of the other two sides, then the vertices have to be colinear, meaning that the three sides form a line segment rather than a triangle. This is called the triangle inequality.

Learn more about triangles at: https://brainly.com/question/2773823

#SPJ4

If g(t) varies inversely with t and g(t)=9 when t=4. Find the value of g(t) when t=2

Answers

The value of g(t) is 18 when x is 2.

What is proportionality?

Proportionality is defined as, the fact or quality of being in proper balance or relation as to size or quantity, degree, severity, etc

Given that, g(t) varies inversely with t and g(t)=9 when t=4.

According to question,

g(t) ∝ 1/t

Let k be constant of proportionality, then,

g(t) = k/t

Solving for k, we get,

9 = k/4

k = 36

When, t = 2, then

g(t) = 36/2

g(t) = 18

Hence, The value of g(t) is 18 when x is 2.

For more references on proportionality, click;

https://brainly.com/question/8598338

#SPJ1

A travel company has hired a management consultant company to analyze demand in twenty-six regional markets for one of its major products: a guided tour to a particular country. The consultant uses data to estimate the following equation:
Q=1500−4P+5A+10I+3PY
Where Q = amount of the product demanded;
P = price of the product in dollars;
A = advertising expenditures in thousands of dollars;
I = income in thousands of dollars;
PY = price of some other travel products offered by a competing travel company.
a) Calculate the amount demanded for this product using the following data:
P = $400
A = $20,000
I = $15,000
PY=$500
b) Suppose the competitor reduced the price of its travel product to $400 to match the price of this firm's product. How much would this firm have to increase its advertising in order to counteract the drop in its competitor's price? Would it be worth for them to do so? Explain your answer.
c) What other variables might be important in helping estimate the demand for this travel product?

Answers

Q falls to 251,400 to 201,400 which means a fall of 50,000 which should be counteracted by advertising. If advertising expenditure becomes 30,000 it will raise the Q again to 251,400.

Given that,

One of a travel company's main products, a guided tour to a specific country, was the subject of a demand analysis by a management consulting firm for 26 regional markets. The consultant estimates the following equation using data:

Q=1500−4P+5A+10I+3PY

Q is the quantity of the product that is demanded;

P represents the item's monetary price;

A represents advertising costs in thousands of dollars;

I represents income expressed in dollars;

PY is the cost of a different travel product provided by a rival travel agency.

We have to find

(a) Utilizing the information below, determine the amount demanded for this product:

P = $400

A = $20,000

I = $15,000

PY=$500

Q = 1,500 - 4 × 400 + 5 × 20,000 + 10 × 15,000 + 3 × 500

= 1,500 - 1,600 + 100,000 + 150,000 + 1,500

= 251,400

(b)  In Income falls to 10,000

Q = 1,500 - 4 × 400 + 5 × 20,000 + 10 × 10,000 + 3 × 500

= 1,500 - 1,600 + 100,000 + 100,000 + 1,500

= 201,400

Q falls to 251,400 to 201,400 which means a fall of 50,000 which should be counteracted by advertising. If advertising expenditure becomes 30,000 it will raise the Q again to 251,400.


To learn more about advertising visit: https://brainly.com/question/17761623

#SPJ4

If BCDE is congruent to OPQR, Then DE is congruent to what? A. QR B. PQ C. OP D. OR

Answers

If BCDE is congruent to OPQR, then DE is congruent to QR .

Congruence means the same point on two different shapes , like parallels

so BC is congruent to OP

and

DE is congruent to QR

In plain English, two objects are said to be congruent if they overlap, i.e., have the same size and shape. If two angles have the same measure, they are said to be congruent. They are congruent if the sides' lengths line up.

Two triangles are said to be congruent if their sides and angles are an exact match.

Conditions for Congruence of Triangles:

SSS (Side-Side-Side)SAS (Side-Angle-Side)ASA (Angle-Side-Angle)AAS (Angle-Angle-Side)RHS (Right angle-Hypotenuse-Side)

To learn more about congruence

brainly.com/question/5661105

#SPJ4

Other Questions
what is the main reason that many achievement-related issues take on new significance during adolescence? Which statement is NOT sufficient to prove the congruence of two triangles?A. Two angles and the included side of one triangle are congruent respectively to the two angles and the included side of another triangle.B. Two sides of one triangle are congruent respectively to the two sides of another triangleC. Two angles and the non-included side of one triangle are congruent respectively to the two angles and the non-included side of another triangle.D. Three sides of one triangle are congruent respectively to the three sides of another triangle. assume that the list originallist contains integer values and that the list newlist is initially empty. the following code segment is intended to copy all even numbers from originallist to newlist so that the numbers in newlist appear in the same relative order as in originallist. the code segment may or may not work as intended. Use the telegram to answer the question. Your response should be a paragraph in length.Summarize events leading up to the outbreak of the Civil War. Why were the events described in the telegram considered an act of war? What steps did President Lincoln take in response?Telegram Announcing the Surrender of Fort Sumter, 1861S.S. BALTIC.OFF SANDY HOOK APR.EIGHTEENTH.TEN THIRTY A.M. VIA NEW YORK. .HON.S.CAMERON. SECY.WAR. WASHN. HAVING DEFENDED FORT SUMTER FOR THIRTY HOURS UNTIL THE QUARTERS WERE ENTIRELY BURNED THE MAIN GATES DESTROYED BY FIRE. THE GORGE WALLS SERIOUSLY INJURED. THE MAGAZINE SURROUNDED BY FLAMES AND ITS DOOR CLOSED FROM THE EFFECTS OF THE HEAT. FOUR BARRELLS AND THREE CARTRIDGES OF POWDER ONLY BEING AVAILABLE AND NO PROVISIONS REMAINING BUT PORK. I ACCEPTED TERMS OF EVACUATION OFFERED BY GENERAL BEAUREGARD BEING ON SAME OFFERED ON THE ELEVENTH INST. PRIOR TO THE COMMENCEMENT OF HOSTILITIES AND MARCHED OUT OF THE FORT SUNDAY AFTERNOON THE FOURTEENTH INST. WITH COLORS FLYING AND DRUMS BEATING. BRINGING AWAY COMPANY AND PRIVATE PROPERTY AND SALUTING MY FLAG WITH FIFTY GUNS. ROBERT ANDERSON. MAJOR FIRST ARTILLERY. COMMANDING. There was much ___, or confusion, among the students who were attempting to log in to the new software application. differentiate between cu and mu Bacterial smears are fixed before staining to a)make the cells visible b)accept stain: c)make their walls permeable. d)affix the cells to the slide: which of the following is a direct economic consequence that would likely occur if an area of forest was clear-cut so that a housing development can be built? A(n) _____________ is an episode during which the individual will continue to function but does not have a conscious awareness of or will not be able to remember the events that occur during this time-tolerance-blackout-tolerance break-intoxication researchers agree that there are various levels of commitment to an attitude. the highest level of commitment is . when botanists want to experimentally produce a monoploid plant, they start by isolating germ cell that have completed meiosis and would normally develop into . the cells are then treated in a special way that causes them to divide and form a mass of tissue known as a(n) . this mass is subjected to plant hormones and grows to become an adult monoploid plant. 1.) Classify each description as applying to either autotrophs or heterotrophs-rely on other organism for energy-use inorganic materials to produce energy-make their own food-producers-cannot make their own food-consumers-many use photosynthesis to produce organic compounds-unable to produce organic compounds from inorganic materials2.) Classify the organisms according to the metabolic process they perform, either cellular respiration, photosynthesis, or both-dandelions-seaweed-frogs-mold-tigers It is believed that % of children have a gene that may be linked to juvenile diabetes. Researchers at a firm would like to test new monitoring equipment for diabetes. Hoping to have children with the gene for their study, the researchers test newborns for the presence of the gene linked to diabetes.What is the probability that they find enough subjects for their study? Historically, there have been a variety of models used to explain psychological disorders. Which model assumes that mental disorders have physical causes that can be diagnosed and treated? What type of reaction is a precipitation?; What is a precipitation reaction example?; What is precipitation in a reaction?; Is precipitation a synthesis reaction? cretinism is a consequence of a pregnant woman with an iodine deficiency and is associated with all of the following symptoms except: example Me gusta hacer una reservainmediatamente(inmediato).Viajo por avin_________(regular).Siempre hago la maleta___________(cuidadoso,careful).Cuando viajo, me visto _________(cmodo,comfortable).En el aeropuerto, los pasajeros hacen cola_______(paciente).Durante el vuelo, el piloto habla __________(tranquilo,calm).El avin despega _________(rpido).Los asistentes de vuelo pasan__________por el avin (lento,slow).Casi siempre llegamos___________(puntual,punctual).Rogelio travels frequently and likes to observe how things are done. Complete each sentence with an adverb ending in -mente, based on the adjective given in parentheses. g design a turing machine with input alphabet {a, b} that accepts a string if and only if the string has the property described. (a) the input string has an even number of b's. keyboard arrow down solution (b) the input string has the same number of a's and b's. true or false: the amount you can recover with collision insurance is limited to the wholesale value of your vehicle. type the correct answer in the box. what is the mass of one mole of phosphorous (p) atoms? express your answer to four significant figures. the mass of 1 mole of phosphorus atoms is ___ grams.