multiplying polynomials, k(k³-2)

Answers

Answer 1

Answer:  [tex]k^4[/tex] - 2k

Step-by-step explanation:

k(k³-2)

distribute

k multiply by    [tex]k^3[/tex] = [tex]k^4[/tex]

k multiply by -2 = -2k

 [tex]k^4[/tex] - 2k


Related Questions

I need the answer and explanation for this geometry problem. (this is not a live quiz, test, or exam question, just to clarify)

Answers

The probability of picking a T and an N is 1/81.

The correct option is (B).

From the geometric shape we can see that the total number of different letter is = 9

that are M, A, T, H, I, S, F, U, N

Now T is one of the letter from that 9 letters.

Now if we pick T then the probability of that = 1/9

Therefore, P(T) = 1/9

now we again replace T in previous position before picking the next letter.

Again the total number of letters = 9

Again, N is one of the letter from that 9 letters.

So the probability of picking N = 1/9

Therefore, P(N) = 1/9

The required probability of picking T and N

= probability of picking T followed by picking N

= P(T)*P(N)

= (1/9)*(1/9)

= 1/(9*9)

= 1/81

Hence the correct option is (B).

To know more probability here

https://brainly.com/question/251701

#SPJ1

A bag contains five red marbles, four orange marbles, one yellow marble, and three green marbles. Two marbles are drawn from the bag.

What is the approximate probability one of the chosen marbles is orange and the other is green?

Answers

The approximate probability of drawing one orange marble and one green marble from a bag containing five red marbles, four orange marbles, one yellow marble, and three green marbles is approximately 0.154.

To find the approximate probability of drawing marbles, we can use the following formula

probability = (number of favorable outcomes) / (total number of outcomes)

We need to find the number of favorable outcomes where one marble is orange and the other is green. We can choose one orange marble from four orange marbles in the bag in 4 ways, and one green marble from three green marbles in 3 ways. So, the number of favorable outcomes is 4 x 3 = 12.

The total number of ways of choosing two marbles from the bag is 13C2, which is the number of combinations of 2 marbles that can be drawn from the 13 marbles in the bag. Therefore, the total number of outcomes is

13C2 = (13 x 12) / (2 x 1) = 78

Thus, the approximate probability of drawing one orange marble and one green marble is

probability = number of favorable outcomes / total number of outcomes = 12/78 ≈ 0.154

Therefore, the approximate probability of drawing one orange marble and one green marble from the bag is approximately 0.154.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ1

A tour guide for Yellowstone national park is 5.1 feet tall and casts a shadow of 6.8 feet. How tall would a Rocky Mountain juniper tree be if at the same time of day it casts a shadow of 20.3 feet? Round your answer to the nearest tenth of a foot.

Answers

The length of Rocky Mountain Juniper tree will be 1.5 feet.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that:

A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 6.8 inches.

Now,

Let the height of Rocky Mountain Juniper tree = x feet

And, A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 6.8 inches.

So, The height of a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet will be find as:

[tex]\rightarrow \dfrac{5.1}{6.8} =\dfrac{\text{x}}{20.3}[/tex]

Solve for x as:

[tex]\rightarrow \dfrac{51\times20.3}{6.8} = \text{x}[/tex]

[tex]\rightarrow \dfrac{103.53}{6.8} = \text{x}[/tex]

[tex]\rightarrow \text{x} = 1.5 \ \text{feet}[/tex]

Thus, The length of Rocky Mountain Juniper tree will be 1.5 feet.

Learn more about the proportion visit:

brainly.com/question/870035

The table of values represents a
quadratic function.

Answers

The equation of the function in standard form is f(x) = x² + 4x - 12.

How to find the quadratic equation of a table?

Quadratic equation can be represented as follows:

ax² + bx + c

where

a, b and c are constant

Therefore, let's write the equation of the function in standard form.

-12 = a(0)² + b(0) + c

c = -12

Let's use -1 and -15

-15 = a(-1)² + b(-1) + -12

-15 = a - b - 12

a - b = - 3

Let's use -2 and -16.

-16 =  a(-2)² + b(-2) + -12

-16 = 4a - 2b - 12

4a - 2b = -4

2a - b = -2

Therefore,

a - b = - 3

2a - b = -2

subtract the equations

a = 1

b = a + 3

b = 1 + 3

b = 4

Therefore, the equation is as follows:

f(x) = x² + 4x - 12

learn more on quadratic function here: https://brainly.com/question/29099928

#SPJ1

The graph represents a relation where x represents the independent variable and y represents the dependent variable. a coordinate plane with points at negative 5 comma 1, negative 2 comma 0, 0 comma 2, 1 comma negative 2, 3 comma 3, and 5 comma 1 Is the relation a function? Explain. No, because for each input there is not exactly one output No, because for each output there is not exactly one input Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input

Answers

Answer:

Step-by-step explanation:

The relation is not a function. A function is a relation in which each input value leads to exactly one output value. In this case, the input value of 1 leads to two different output values, -2 and 3. Therefore, the relation is not a function.

The correct answer is No, because for each input there is not exactly one output.

Show that among any group of five (not necessarily consecutive) integers, there are two with the same remainder when divided by 4.

Answers

Among any group of five integers, there are at least two with the same remainder when divided by 4.

To show that among any group of five integers, there are two with the same remainder when divided by 4, we'll use the Pigeonhole Principle. Here's a step-by-step explanation:

1. Consider the four possible remainders when dividing an integer by 4: 0, 1, 2, and 3.
2. Imagine these remainders as "boxes," where each integer will go into its respective remainder box.
3. We have five integers and four boxes. The Pigeonhole Principle states that if there are more "pigeons" (integers) than "holes" (boxes), at least one hole must contain two or more pigeons.
4. Since we have five integers and only four possible remainders, at least one of these remainder boxes must have two integers.

Learn more about Pigeonhole Principle concept here: brainly.com/question/30319732

#SPJ11

suppose that you would like to construct a 95% confidence interval to estimate the proportion of all uconn students who graduate in 4 years. you would like to use a maximum error of 2.5%. a. how large a sample is needed if you know that in the past few years approximately 70% of all students have graduated in 4 years? note: always round up to the next integer value if your answer is not an integer. b. how large a sample is needed if you have no knowledge of what % of students typically graduate in 4 years? always round up to the next integer value if your answer is not an integer.

Answers

The required sample size to construct a 95% confidence interval to estimate the proportion is 602 students.

a. To estimate the sample size needed to construct a 95% confidence interval with a maximum error of 2.5% when the past few years' graduation rate is 70%, we can use the following formula:

n = [Z² × p × (1-p)] / E²

where:

Z = the Z-value for the desired confidence level (95% in this case), which is 1.96

p = the estimated proportion of students who graduate in 4 years (70%)

E = the maximum error, which is 0.025 (2.5%)

Plugging in the values, we get:

n = [(1.96)² × 0.7 × (1-0.7)] / 0.025²

n = 381.16

Always round up to the next integer, so the sample size needed is 382.

b. To estimate the sample size needed when there is no knowledge of the typical graduation rate, we can use a conservative estimate of 50% for p. Plugging in the values, we get:

n = [1.96² × 0.5 × (1-0.5)] / 0.025²

n = 601.64

Always round up to the next integer, so the sample size needed is 602.

To know more about confidence interval, refer:

https://brainly.com/question/17034620

#SPJ4

Infuse 0. 8 liters for 9 hours at a drop factor of 60 gtt/ ml. How many ml will be infused per hour

Answers

The infusion rate for the given volume to be infused in the given time duration is given by 266.67 ml per hour (rounded to two decimal places).

Volume to be infused = 0.8liters

Time duration = 9 hours

Drop factor = 60 gtt/ml

Use the following formula to calculate the infusion rate,

Infusion rate = (Volume to be infused × Drop factor) / Time in minutes

Convert the units to liters and minutes, respectively,

1 liter = 1000 milliliters

⇒ 0.8 liters = 800 milliliters

1 hour = 60 minutes

⇒ 9 hours = 9 × 60

                 = 540 minutes

Substituting the given values, we get,

⇒ Infusion rate = (800 ml × 60 gtt/ml) / 540 min

⇒Infusion rate = 88.89 gtt/min (rounded to two decimal places)

The infusion rate is 88.89 drops per minute.

To convert this to milliliters per hour,

Use the following conversion,

since the drop factor is 60 gtt/ml

⇒ 1 ml = 20 drops

The infusion rate in ml/hour is,

= (88.89 gtt/min × 1 ml/20 gtt) × 60 min/hour

= 266.67 ml/hour

Therefore, the infusion rate is 266.67 ml per hour (rounded to two decimal places).

learn more about infusion rate here

brainly.com/question/31582915

#SPJ4

The area of a quarter circle is 0. 785 square miles. What is the quarter circle's radius?

Answers

The radius of the quarter circle is 1 mile.

The formula for calculating the area of a circle is given by A = πr², where A is the area of the circle, r is the radius of the circle, and π (pi) is a mathematical constant equal to approximately 3.14.

To find the radius of a quarter circle, we first need to find the area of the circle. Since the area of a quarter circle is given as 0.785 square miles, we can calculate the area of the circle as follows:

Area of circle = 4 × Area of quarter circle

Area of circle = 4 × 0.785 square miles

Area of circle = 3.14 square miles

Now that we know the area of the circle, we can use the formula for the area of a circle to find the radius. We rearrange the formula as follows:

r² = A/π

r² = 3.14/π

r² = 1

r = √1

r = 1 mile

To know more about circle here

https://brainly.com/question/11833983

#SPJ4

Ali is putting money into a savings account. He starts with $450 in the savings account, and each week he adds $70.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Ali has
been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings
account after 17 weeks.

Answers

Answer:

The total amount of money in the savings account can be represented by the sum of the initial amount of money and the amount of money added each week multiplied by the number of weeks:

S = 450 + 70W

To find the total amount of money in the savings account after 17 weeks, we can substitute W = 17 into the equation:

S = 450 + 70(17)

S = 450 + 1190

S = 1640

Therefore, after 17 weeks of adding $70 to the savings account each week, the total amount of money in the account will be $1640.:)

Solve
x + 12
——— = 3(x+7)
2
Your final line must say, x = ...

Answers

The value of the variable x is -6

What are algebraic expressions?

Algebraic expressions are described as those mathematical expressions that are known to consist of terms, coefficients, variables, constants and factors.

These expressions also consist of arithmetic operations, such as;

AdditionBracketSubtractionDivisionMultiplication

From the information given, we have the equation;

x + 12/2 = 3(x + 7)

expand the bracket

x +12/2 = 3x + 21

cross multiply the values

x + 12 = 6x + 42

collect like terms

-5x = 30

x = -6

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Find the center and radius of a circle with the equation below.

(x+3)2+(y−2)2=144

Answers

As per the given equation, the center and radius of the circle are (-3, 2) and 12, respectively.

Radius is the distance between the center of a circle and any point on its circumference. It is half the length of the diameter of the circle.

The center-radius form of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

where (h, k) is the center of the circle and r is the radius.

Comparing the given equation with the standard form, we have:

[tex](x + 3)^2 + (y - 2)^2 = 144[/tex]

This means that the center of the circle is (-3, 2) and the radius is the square root of 144, which is 12.

Therefore, the center and radius of the circle are (-3, 2) and 12, respectively.

For more details regarding radius, visit:

https://brainly.com/question/13449316

#SPJ1

What is the value of the product (21)(5+3i)?

A -6 + 10i

B 10 + 6i

C 161

D 10 - 6

Answers

The value of the product of the "complex-numbers" (2i)(5+3i) is "-6+10i", Option(a) is correct.

The Complex numbers are defined as the numbers that can be expressed in the form "a + bi", where a and b are real numbers and "i" is the imaginary unit, which is defined as the square root of -1.

To multiply the two complex numbers (2i)(5+3i), we use the distributive property of multiplication:

⇒ (2i)×(5+3i) = (2i)×(5) + (2i)×(3i),

Simplifying this expression,

We get,

⇒ (2i)×(5+3i) = 10i + 6i²,

Since i² = -1, we substitute this value into the expression:

⇒ (2i)×(5+3i) = 10i + 6(-1) = -6 + 10i,

Therefore, the correct option is (a).

Learn more about Complex Number here

https://brainly.com/question/29960316

#SPJ4

The given question is incomplete, the complete question is

What is the value of the product (2i)×(5+3i)?

(a) -6 + 10i

(b) 10 + 6i

(c) -10 + 6i

(d) 10 - 6i

Question 9 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t = 8; s = 12
B. t= 12; s = 8
OC. t = 5; s =
D. t= 15; s = 5

Answers

Answer:

T=15 S=5

Step-by-step explanation:

If you sold 3x more shirts(T) the other number must also apply. So the only one it can be is D. Also, 15x8+5x12=180

Solve for x.

5x – 10 > 20 or 5x – 10 ≤ –15

–5 ≤ x < 6
–1 ≤ x < 6
x ≤ –5 or x > 6
x ≤ –1 or x > 6

Answers

The solution for the inequalities 5x – 10 > 20 or 5x – 10 ≤ –15 is:

x > 6 or x ≤ -1.

We have two inequalities to solve:

5x - 10 > 20

Adding 10 to both sides, we get:

5x > 30

Dividing both sides by 5, we get:

x > 6

And the second inequality is:

5x - 10 ≤ -15

Adding 10 to both sides, we get:

5x ≤ -5

Dividing both sides by 5 (and remembering to flip the inequality since we are dividing by a negative number), we get:

x ≤ -1.

To learn more about inequality;

brainly.com/question/28823603

#SPJ1

Spring break homework due tonight!! Please help!!

Answers

the missing angle measurement using the angle addition postulate are:

DBC = 42 degreesL. ABD= 78 degreesLHFG = 56 degreesL HJK = 32 degreesLHFG = 59 degrees L PQS = 79 degreesLFGH = 34 degrees LOPQ = 91 degrees What is angle?

An angle is a geometric figure formed by two rays or line segments that share a common endpoint, known as the vertex. Angles are typically measured in degrees or radians.

According to the given information:

The angle addition postulate is a rule used to find the measure of an angle created by two adjacent angles. If two adjacent angles are known, then their sum will equal the measure of the larger angle formed by the two adjacent angles. To use the angle addition postulate, add the measures of the known adjacent angles to find the measure of the larger angle.

In the given set of angles, we are asked to use the angle addition postulate to find the missing angle measures. We can use this rule to find the missing angles by adding the measures of the known adjacent angles. By doing so, we can find the measure of the larger angle formed by the two adjacent angles. It is essential to note that this rule only applies to adjacent angles. Therefore, we can only use the angle addition postulate to find the missing angle measurements for angles that share a common vertex and side

LABC = 60 degrees (angle addition postulate states that the sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by the two adjacent angles)L

DBC = 42 degrees (angle addition postulate)L. ABD= 78 degrees (angle addition postulate)LHFG = 56 degrees (angle addition postulate)L HJK = 32 degrees (angle addition postulate)LHFG = 59 degrees (angle addition postulate)L PQS = 79 degrees (angle addition postulate)LFGH = 34 degrees (angle addition postulate)LOPQ = 91 degrees (angle addition postulate)

To know more about angles visit:

https://brainly.com/question/28451077

#SPJ1

Jack went for a mountain hike. On his way up, he traveled at a speed of 2 mph. He reached the summit in 3 hours. On his way back down, Jack jogged at a speed of 5 mph. Write the formula that describes how the distance Jack covered during the hike depends on the amount of time that he traveled.

Answers

The formula that describes the distance Jack covered during the hike  is: S(t) = vt for v = 5 and t is the time

How to solve linear equation word problems?

The form of a linear equation in slope intercept form is:'

y = mx + c

where:

m is slope

c is y-intercept

Now, the formula for distance here is:

s(t) = vt

where:

v is speed

t is time

For a speed of 2 mph and a time of 3 hours, we can arriave at:

s(3) = 2 * 3 = 6 m for 2 seconds

Similarly:

s(t) = 5t

Read more about Linear Equation Word Problems at: https://brainly.com/question/21405634

#SPJ1

the hydrate CoCl2 x XH2O decomposes to CoCl2, whose mass is 53.9% of the hydrate mass. What is the value of X in the hydrate formula?

Answers

Answer:

4

Step-by-step explanation:

Let's start by assuming that the initial mass of the hydrate CoCl2 x XH2O is 100 grams. This means that the mass of the anhydrous compound CoCl2 after decomposition is 53.9 grams (since it is 53.9% of the hydrate mass).

The mass of water lost during the decomposition is therefore:

Mass of water lost = Initial mass of hydrate - Mass of anhydrous compound

Mass of water lost = 100 g - 53.9 g

Mass of water lost = 46.1 g

The molar mass of CoCl2 is 129.8 g/mol, and the molar mass of H2O is 18.0 g/mol. Therefore, the molar mass of the hydrate CoCl2 x XH2O is:

Molar mass of hydrate = Molar mass of CoCl2 + Molar mass of H2O × X

Molar mass of hydrate = 129.8 g/mol + 18.0 g/mol × X

We can set up a proportion to solve for X:

Mass of water lost / Molar mass of water = X / Molar mass of hydrate

Plugging in the values we found:

46.1 g / 18.0 g/mol = X / (129.8 g/mol + 18.0 g/mol × X)

Solving for X:

46.1 g / 18.0 g/mol = X / (129.8 g/mol + 18.0 g/mol × X)

2.56 mol = X / (129.8 g/mol + 18.0 g/mol × X)

2.56 mol × (129.8 g/mol + 18.0 g/mol × X) = X

331.968 g/mol × X + 46.368 g/mol × X = X

378.336 g/mol × X = X

X = 4

Therefore, the value of X in the hydrate formula CoCl2 x XH2O is 4, and the formula of the hydrate is CoCl2 x 4H2O.

the grand bakery produces 60 special sourdough rolls every day. any rolls that are not sold each day are given to the employees. they have collected sales data from the past week: day rolls sold 1 50 2 50 3 48 4 60 5 53 6 60 what is the value of f6 if they use a 3-day weighted moving average with w1

Answers

Thus, the value of f6 using a 3-day weighted moving average with w1 is 60.

To calculate the 3-day weighted moving average with w1 for the value of f6, we need to first calculate the weighted average for the past three days.

The formula for weighted moving average is:

WMAt = [(P1 * w1) + (P2 * w2) + (P3 * w3)] / (w1 + w2 + w3)

where:
- WMAt is the weighted moving average for time t
- P1, P2, P3 are the values of the variable for the three time periods being averaged
- w1, w2, w3 are the weights assigned to each period (in this case, w1 = 1 and w2 = w3 = 0)

For the past three days, we have:

- Day 4: 60 rolls sold
- Day 5: 53 rolls sold
- Day 6: 60 rolls sold

Using the formula above with w1 = 1 and w2 = w3 = 0, we get:

WMA6 = [(60 * 1) + (53 * 0) + (60 * 0)] / (1 + 0 + 0) = 60

Therefore, the value of f6 using a 3-day weighted moving average with w1 is 60.

Know more about the  weighted moving average

https://brainly.com/question/28495879

#SPJ11

The legs of a right triangle measure 28 and 45 units. What is the measure of the hypotenuse? Answer as a number only.

Answers

Answer:

[tex] \sqrt{ {28}^{2} + {45}^{2} } = \sqrt{784 + 2025} = \sqrt{2809} = 53[/tex]

Can anyone show me how to find the missing measurements?

Answers

The measure of CD in triangle is 18.

We are given that;

CE=7, HB=13, HF=3

Now, In triangle GDH

GD=1/2 * BD

=24/2=12

BC= 2* EC

=2* 7= 14

By pythagoras theorem;

EH^2 + EB^2 = BH^2

EH^2 + 49 = 169

EH^2 = 120

EH= rt120

FD= 16

CD= 18

Therefore, by the given triangle answer will be 18.

Learn more about triangular here:

https://brainly.com/question/16261758        

#SPJ1

statistical methods are excellent for capturing what type of data?

Answers

Statistical methods are excellent for capturing quantitative data, which is numerical data that can be measured and analyzed using mathematical calculations.

These methods are commonly used in fields such as economics, psychology, and social sciences to collect, analyze, and interpret data.

In contrast, qualitative data such as opinions, attitudes, and beliefs are better captured using methods such as interviews, focus groups, and case studies.

Which two primary data kinds are there?

Data may be categorized into two main probability : quantitative and qualitative, and both are equally significant.

Why are primary and secondary data different?

Data may be obtained by social and health scientists by speaking with the subjects that interest them directly. These data they gather are referred to as primary data.

The information that has previously been obtained by someone else is another sort of data that might be useful to researchers. Secondary data is what this is.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

A weather report for Eastern Ontario was a 40% probability of snow the next day. What are the odds against it snowing the next day?

Answers

Answer:

The odds against it snowing the next day can be found by subtracting the probability of it snowing (40%) from 100% (the total possible outcomes) and then expressing it as a ratio of non-snowing outcomes to snowing outcomes.

100% - 40% = 60%

The odds against it snowing the next day are 60:40 or 3:2 (simplifying the ratio).

The probability of an event occurring plus the probability of the event not occurring is equal to 1. So, the probability of it not snowing the next day is:

1 - 0.4 = 0.6

To express this as odds against it snowing, we divide the probability of it not snowing by the probability of it snowing:

0.6 / 0.4 = 1.5

Therefore, the odds against it snowing the next day are 1.5 to 1.

What is fliping a coin and grt tali (it is likely or unlikely or As likely as not or certain or Impossible)?

Answers

Answer:  

Because of all the random factors beyond our control that enter the flipping process (force with which the coin is flipped, motion of the air in the room, position of our hand when we catch the coin...) we therefore expect a probability of 1/2 for heads, and 1/2 for tails. Each possible outcome is equally likely.

A coin has 2 possible outcomes because it only has two sides (heads or tails). This means that the probability of landing on heads is 1/2. So, the probability of landing on heads is (1/2) x 100, which is 50%.

What he and his fellow researchers discovered (here's a PDF of their paper) is that most games of chance involving coins aren't as even as you'd think. For example, even the 50/50 coin toss really isn't 50/50 — it's closer to 51/49, biased toward whatever side was up when the coin was thrown into the air.

Name these decimal numbers. a) 7.8 b) 8.25....​

Answers

The decimal numbers in this problem are classified as follows:

a) 7.8 is a rational number.

b) 8.25... is an irrational number.

What are rational and irrational numbers?

Rational numbers are numbers that can be represented by a ratio of two integers, which is in fact a fraction, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating. Examples are integers, fractions and mixed numbers.Irrational numbers are numbers that cannot be represented by a ratio of two integers, that is, they cannot be represented by fractions. They are non-terminating and non-repeating decimals, such as non-exact square roots.

In the context of this problem, we have that:

The number 7.8 is a rational number, as it is a terminating decimal.The number 8.25... is an irrational number, as the ... indicates that the decimal is non-terminating.

More can be learned about rational and irrational numbers at brainly.com/question/5186493

#SPJ1

2 x (1⁄4 + 11⁄8 + 3) =

Answers

The value of the expression is 9 1/4.

We have,

We can simplify the expression step by step using the order of operations (PEMDAS).

2 x (1/4 + 11/8 + 3)

First, let's add the fractions inside the parentheses:

1/4 + 11/8 = 2/8 + 11/8 = 13/8

Now we can substitute this result back into the original expression:

2 x (13/8 + 3)

Next, we add the two terms inside the parentheses:

13/8 + 3 = 13/8 + 24/8 = 37/8

Now we can substitute this result back into the expression:

2 x 37/8

Finally, we multiply the coefficient 2 by the fraction 37/8:

2 x 37/8 = 74/8 = 9 1/4

Therefore,

The value of the expression is 9 1/4.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Pleaseeee answer for me!

Answers

The value of n in the given equation is determined as 5.

option C.

What is the value of n?

The value of n in the given equation is calculated by applying the following method of simplification.

2n / (n - 5) + (4n - 30) / (n - 5) = n

Since the common denominator is n - 5, multiply through by n - 5;

2n + (4n - 30) = n(n - 5)

6n - 30 = n² - 5n

n² - 11n + 30 = 0

Factorize the expression as follows;

n² - 5n - 6n + 30 = 0

n(n - 5) - 6(n - 5) = 0

(n - 6)(n - 5) = 0

n = 5 or 6

Learn more about factorizations here: https://brainly.com/question/18187355

#SPJ1

An artist recreated a famous painting using an 8:1 scale. The dimensions of the scaled painting are 12 inches by 16 inches. What are the dimensions of the actual painting?

96 inches by 128 inches
36 inches by 112 inches
20 inches by 24 inches
1.5 inches by 2 inches

Answers

Answer:

If the dimensions of the scaled painting are 8 times smaller than the actual painting, then the actual dimensions can be found by multiplying the scaled dimensions by 8.

So, the actual dimensions of the painting are:

12 inches x 8 = 96 inches (width)

16 inches x 8 = 128 inches (height)

Therefore, the dimensions of the actual painting are 96 inches by 128 inches.

Please answer 1-6 and tell me where to graph each one. 20 points and will mark brainliest for best answer!

Answers

Answer:

1) 3w - 10 > 4

3w > 6, so w > 2

Put a 2 below the third vertical line on

the number line. Draw and fill in the

circle over 2, then draw a line going to

the arrow on the right.

2) 2x + 4 < 8

2x < 4, so x < 2

Put a 2 below the third vertical line on

the number line. Draw (but do not fill in)

the circle over 2, then draw a line going

to the arrow on the left.

3) 3 < 1.5p - 9

1.5p > 6, so p > 4

Put a 4 below the third vertical line on

the number line. Draw (but do not fill in)

the circle over 4, then draw a line going

to the arrow on the right.

4) (b/5) + 9 < 10

b/5 < 1, so b < 5

Put a 5 below the third vertical line on

the vertical line. Draw (but do not fill in)

the circle over 5, then draw a line going

to the arrow on the left.

5)

[tex] \frac{1}{3} c - 2 \frac{1}{2} \geqslant \frac{1}{2} [/tex]

[tex] \frac{1}{3} c \geqslant 3[/tex]

[tex]c \geqslant 9[/tex]

Put a 9 below the third vertical line on the number line. Draw and fill in the circle over 9, then draw a line going to the arrow on the right.

6) (4/5)(x - 2) < 6

x - 2 < 7.5, so x < 9.5

Put a 9.5 below the third vertical line on

the number line. Draw and fill in the

circle over 9.5, then draw a line going to

the arrow on the left.

What is the value of x?

Answers

Answer: 101

Step-by-step explanation:

180 - 76 - 48 = 56

180 - 56 - 23 = 101

Other Questions
What traits are possessed by amphibians but are not present in fish? Multiple Choice lungs lungs amniotic eggs limbs limbs paired fins measured by the mean absolute deviation, which of the forecast methods (1, 2, or 3) provides the highest degree of forecast accuracy for the five weeks of data shown below? week demand method 1 method 2 method 3 1 24 23 26 21 2 19 25 22 20 3 27 21 23 23 4 25 30 29 22 5 31 25 32 28 group of answer choices method 1 method 2 method 3 methods 1 and 2 are equal methods 2 and 3 are equal Why would someone give their child or spouse a life estate as opposed to a fee simple interest in real estate? A discussion question should be phrased in such a way so as to avoid suggesting the _____ in the question. A merchant in Katmandu sells you a solid gold 1.00-kg statue for a very reasonable price. When you get home, you wonder whether or not you got a bargain, so you lower the statue into a container of water and measure the volume of displaced water.A) Find the volume of water that will be displaced for pure gold.B) For my answer I found 51813 kg/m^3 how might a budget deficit be related to the national debt? PLEASE HELP!! You dont have to show work just the answers are needed mr. flores opened an account with a deposit of $5,000. the account earned annual simple interest. he did not make any additional deposits or withdrawals. at the end of 4 years, the balance of the account was $6,500. what is the annual interest rate on this account? what are the signs of suniv, ssurr, and ssys, respectively, for water freezing at 10c? the si unit of voltage (aka "electric potential difference") is equivalent to: Pathophysiologic factors affecting the anesthetic management of patients with hypothyroidism include: hypernatremia hyperglycemia difficulty with intubation and airway management increased blood viscosity due to elevated hematocrit xyz company issued callable bonds three years ago with a 7% coupon rate. today, the market rate of interest was lowered to 4%. what most likely will happen next? An organism's traits are mostly inherited from its parents, but environmental factors can also affect traits. Which of these traits is most likely caused by environmental factors? Circle the verbs in the following senten1. The dog slept under the bed. on january 1, 2023, discount tire issued $500,000, 6%, 10-year bonds for $581,771. the bonds pay interest semi-annually on june 30 and december 31. the market rate of interest is 4%. what is the amount of cash interest paid for the year ended december 31, 2023? what is the change in internal energy of a system (in kj ) that has 526 kj of work done to it and it releases 1151 kj of heat to its surroundings? a system administrator needs secure remote access into a linux server. evaluate the types of remote administration to recommend which protocol should be used in this situation A nutritionist is interested in testing whether tha mean sodium content of the 300-gram boxes of organic cornflakes differs from 130 milligram. From a sample of 36 boxes, the mean sodium content was 130.3 mg with a standard deviation of 0.75 mg.Find the value of the test statistic,. Round your answer to one decimal place.Find the corresponding P-value, . Round your answer to three decimal places. in a dramatic performance, how does the exposition occur?question 34 options:it is outlined in the dramatis personae, which are printed in the program.it is explained to the audience in the introduction.it is stated in the stage directions of the play.it is conveyed implicitly through the play's dialogue. The volume of the cone is 162 yd. Whatis the radius of the cone?