The solution to the system of equations in this problem is given as follows:
(4.5, -1.5).
How to obtain the intercept of the system of equations?The intercept of the system of equations is equivalent to the solution of the system of equations.
The system in this problem is defined as follows:
-0.4x + 0.25y = -2.175.2x + y = 7.5.On the second equation, we isolate y, as follows:
y = 7.5 - 2x.
Replacing on the first equation, the value of x is obtained as follows:
-0.4x + 0.25(7.5 - 2x) = -2.175
0.9x = 4.05
x = 4.05/0.9
x = 4.5.
Hence the solution for y is given as follows:
y = 7.5 - 2(4.5)
y = 7.5 - 9
y = -1.5.
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Which ordered pair represents point F?
Responses
(0, 5)
(0, -5)
(5, 0)
(-5, 0)
Answer:
(-5, 0)
Step-by-step explanation:
Answer:
D (-5,0)
Step-by-step explanation:
OOOOOOOOOOOOOOOOOOOOOOOO
a jar contains 18 red, 12 blue, 20 yellow, 14 green marbles. what is the ratio of blue marble to the total number of marbles
The ratio of blue marbles to the total number of marbles is; 3:16.
The total number of marbles in the jar is 18 red + 12 blue + 20 yellow + 14 green = 64.
So, the ratio of blue marbles to the total number of marbles can be expressed as 12:64.
This ratio can be simplified by dividing both the numerator and denominator by the greatest common factor, which in this case is 4.
So, the simplified ratio becomes 12/4 : 64/4 = 3:16.
This means for every 16 marbles in the jar, 3 of them are blue.
The simplified ratio of 3:16 can be understood as a fraction, where the numerator represents the number of blue marbles and the denominator represents the total number of marbles in the jar.
This fraction can be converted to a percentage by multiplying it with 100, which gives 18.75%.
Therefore, the ratio of blue marbles to the total number of marbles is 12:64, which simplifies to 3:16.
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What is the equation of the line that is perpendicular to the line 5x - 3y = 2 and passes through the point (- 1/4, 3/5) ?
Answer:
y= -3/5x+9/20
I graphed it to be sure it works. Hope this helped!
Step-by-step explanation:
find the ratios and reduce them in their lowest terms. 1m and 75 cm
Answer:
4:3
Step-by-step explanation:
1m = 100cm
75cm = 75cm
ratio of 1m:75cm
(100cm:75cm)÷25 = 4:3
so 1m:75cm = 4:3
Evelyn went shopping for a new pair of pants. Sales tax where she lives is 4%. The price of the pair of pants is $33. Find the total price including tax. Round to the nearest cent.
The total price of the pair of pants is 34.32 dollars.
How to find the total price of the pants?Evelyn went shopping for a new pair of pants. Sales tax where she lives is 4%. The price of the pair of pants is $33. Therefore, the total price of the pants including the sales tax can be calculated as follows:
Therefore,
sales tax in dollars = 4% of 33
sales tax in dollars = 4 / 100 × 33
sales tax in dollars = 132 / 100
sales tax in dollars = 1.32 dollars
Therefore,
total price3 of the pants = 33 + 1.32
total price3 of the pants = 34.32 dollars
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if x equals to 1 by x = 5 find the value of x square + 1 divided x square
An air traffic controller is tracking two planes. To start, Plane A was at an altitude of 800 meters, and Plane B was at an altitude of 360 meters. Plane A is gaining altitude at 15 meters per second, and Plane B gaining altitude at 25 meters per second . Let x be the number of seconds that have passed
a) The expressions are given as follows:
Plane A: A(t) = 800 + 15t.Plane B: B(t) = 360 + 25t.b) The will be at the same altitude at a time of: 44 seconds.
How to model the situation?The situation is modeled by linear functions in slope-intercept format, as follows:
y = mx + b.
In which:
The slope m represents the rate at which the planes are gaining altitude.The intercept b represents the initial altitude.Hence the functions are defined as follows:
Plane A: A(t) = 800 + 15t.Plane B: B(t) = 360 + 25t.The planes will have the same altitude when:
A(t) = B(t)
Hence:
800 + 15t = 360 + 25t
10t = 440
t = 44 seconds.
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the general form of a large-sample (1) 100onfidence interval for a population proportion p is where is the sample proportion of observations with the characteristic of interest.true or false
True, the general form of a large-sample 100% confidence interval for a population proportion p is where is the sample proportion of observations with the characteristic of interest.
The general form of a large-sample 100% confidence interval for a population proportion p is given by the formula:
p ± z(standard error of p)
where p is the sample proportion of observations with the characteristic of interest and z is the critical value from a standard normal distribution corresponding to the desired level of confidence (e.g. z = 1.96 for a 95% confidence interval). The standard error of p is calculated as the square root of (p(1-p)/n), where n is the sample size.
This formula is based on the central limit theorem and the assumption that the sample is random and large enough (n > 30). In this case, the distribution of p is approximately normal and the confidence interval provides a range of plausible values for the true population proportion.
Correct Question :
The general form of a large-sample 100% confidence interval for a population proportion p is where is the sample proportion of observations with the characteristic of interest. True or false.
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Higher the weight of the variable in a standardized predictor environment, we can say that the particular variable has a higher discriminating power. True or False?
False. The weight of a variable in a standardized predictor environment does not necessarily indicate that the variable has a higher discriminating power.
Discriminating power is determined by the correlation of a predictor variable with the outcome variable. We can calculate the correlation between a predictor variable and an outcome variable using Pearson's correlation coefficient, which is represented by the formula:
r = (NΣXY - (ΣX)(ΣY)) / √[(NΣX2 - (ΣX)2)(NΣY2 - (ΣY)2)].
In this formula, N is the sample size, ΣX is the sum of the predictor variable, ΣY is the sum of the outcome variable, ΣXY is the sum of the products of the predictor and outcome variables, and ΣX2 and ΣY2 are the sums of the squares of the predictor and outcome variables, respectively. The Pearson's correlation coefficient ranges from -1 to +1, with +1 indicating perfect positive correlation, 0 indicating no correlation, and -1 indicating perfect negative correlation. A higher correlation coefficient indicates a higher discriminating power.
Therefore, the weight of a variable in a standardized predictor environment does not indicate whether or not the variable has a higher discriminating power; this is determined by the correlation between the predictor and outcome variables.
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a set of qualitative statistical techniques that are used to combine the results of multiple, independent research events to arrive at a summary statement about the data is the definition of .
Meta-analysis is a set of qualitative statistical techniques used to combine the results of multiple, independent research events to arrive at a summary statement about the data.
It is used to identify patterns across studies and to synthesize the results from different studies into a coherent and comprehensive interpretation of the research results. Meta-analysis is commonly used in medical research to identify treatments that are most effective, as well as in social sciences to determine the impact of a policy or program on a population.
Meta-analysis is also used to compare different theories and studies, to evaluate the strength of studies, and to identify any gaps in the existing research. By combining data from multiple studies, meta-analysis can provide a more robust and accurate summary of the effects of a particular intervention or program.
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you want to watch a play, the ticket for which costs $100. you have just arrived at the theater to buy your ticket and discover that you have lost a $100 bill from your wallet. do you buy a ticket and see the play anyway?
This is a difficult decision that you have to make. On the one hand, you really want to see the play and have come all this way to do so.
On the other hand, you have lost a $100 bill and may not be able to afford a ticket. Ultimately, it is your decision to make. If you have the financial means, you could consider buying a ticket and seeing the play. Alternatively, you could look for discounted tickets if available or wait until you have the funds available before buying a ticket.
The cost of a ticket to watch a play depends on the venue, seating arrangements, and other factors. Generally speaking, tickets for a play can range from around $10 to upwards of $100, depending on the show and its popularity.
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Please answer 1 SIMPLE question.
Answer: Maybe B
Step-by-step explanation:
Guess from heart.
4. a rate constant is found to triple when the temperature is increased from 275 k to 300. k. at what temperature will the rate constant be five times greater than the rate constant at 275 k? report your answer in k.
The temperature at which the rate constant becomes five times greater than the rate constant at 275 K is 325 K.
Let's say that temperature is represented by t and the rate constant is represented by r.
Let' say r₁ = R, r₂ = 3R, t₁ = 275 K and t₂ = 300 K.
considering the relationship between rate constant and temperature is linear.
t - 300 = [(300 - 275)/(3R - R)](r - 3R)
t - 300 = (25/2R)(r - 3R)
We are asked to determine the temperature at which the rate constant becomes five times greater than the rate constant at 275 K.
t - 300 = (25/2R)(5R - 3R)
t - 300 = (25/2R)(2R)
t - 300 = 25
t = 325 K
Hence, the temperature at which the rate constant becomes five times greater than the rate constant at 275 K is 325 K.
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1. (2 points) your box of cereal may be a contest winner! it's rattling, which 100% of winning boxes do. of course, 1% of all boxes rattle and only one box in a million is a winner. what is the probability that your box is a winner? show details calculations 2. (3 points) someone rolls a fair six-sided die and you win points equal to the number shown. what is the expected number of points after one roll? after 2 rolls? after 100 rolls?
The probability that your box is a winner is 1/10,000,000.
The probability that your box is a winner can be calculated as the probability of a box rattling and being a winner, divided by the probability of a box rattling.
P(Winner | Rattle) = 1/1,000,000
P(Rattle) = 1/100
P(Winner) = P(Winner | Rattle) * P(Rattle)
= (1/1,000,000) * (1/100)
= 1/10,000,000
a. The expected number of points after one roll is the average of the possible outcomes, which are 1, 2, 3, 4, 5, and 6.
The average is (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5.
b. The expected number of points after two rolls is the average of the possible outcomes of the sum of two rolls.
For example, the possible outcome of 2 rolls could be (1,1), (1,2), (1,3), ..., (6,6).
The average of these 36 possible outcomes is 7.
c. The expected number of points after 100 rolls is the average of the possible outcomes of the sum of 100 rolls, which would be approximately 350.
This is because the expected value for each roll is 3.5, and for 100 rolls it would be 100 * 3.5 = 350.
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12 more than the product of 5 and a number 2 PLEASE HELP!!!
Answer: (12+5)+2
Step-by-step explanation:
12+5=17
17+2=19
Answer:
12+(5+2)
Step-by-step explanation:
you must do 5 plus 2 first because you are adding 12 to their product. which is the answer to an addition problem. so you are given...
This question is designed to be answered without a calculator. If f(x) = x2 and g(x) = x - 4, what is the domain of g(f(x))? O all real numbers O all real numbers x 20 O all real numbers x 24 O all real numbers x 22
If the function f(x) = x² and function g(x) = √(x - 4) , then the domain of g(f(x)) is (d) all real numbers |x| ≥ 2 .
The Domain of a function is defined as the set of all input values for which the function is defined and produces a valid output.
⇒ The domain of f(x) = x² is all real numbers because squaring any real number results in a valid result .
⇒ The domain of g(x) = √(x - 4) ; we know that the square root of a number must be non-negative.
The square root is taken of (x - 4), so (x - 4) must be ≥ 0 . This means that x must be ≥ 4.
The domain of g(f(x)), we need to substitute f(x) into g(x).
So, g(f(x)) = g(x²) = √(x² - 4).
The domain of this expression is all real numbers x such that
⇒ x² - 4 ≥ 0 and
⇒ |x| ≥ 2. This is because x² must be ≥ 4, and taking the square root of a positive number results in a valid result .
Therefore , the domain of g(f(x)) is (d) all real numbers |x| ≥ 2 .
The given question is incomplete , the complete question is
If f(x) = x² and g(x) = √(x - 4) , what is the domain of g(f(x)) ?
(a) all real numbers
(b) all real numbers x ≥ 0
(c) all real numbers x ≥ 4
(d) all real numbers |x| ≥ 2 .
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52 cm - 13.1 cm = ? (Choose all correct answers.)
223 cm
39 cm
39.1 cm
223 mm
40 cm
400 mm
390 mm
030 cm
0391 mm
As per the given measurement, the value of 52 cm - 13.1 cm is 39 cm.
The term in math measurement is defined as quantifies the characteristics of an object or event, which we can compare with other things or events which is the most commonly used word, whenever we deal with the division of a quantity.
Here we have given the expression 52 cm - 13.1 cm.
As we have to subtract the expression then we have written as,
=> 52 - 13.1
When we subtract is then we get the difference as 38.9
Now, we have to round off the value then we get the result as 39 cm.
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What is the measure of y
[tex]3 \sqrt{13} [/tex]
Given: m/X = m/Y, m/X = 4x + 18,
and m¿Y = 78°
Prove: x = 7
Statement:
1. m/X = m/Y
2. m/X= 4x+18
3. m2Y = 78°
4.4x+18= 78
5.4x=60
6.x=15
Reason:
1. Given
2. Given
3. Given
4.[? ]
5.
6. Division Property
of Equality
Select the reason that best
supports Statement 4 in the
given proof.
A. Addition Property of Equality
B. Multiplication Property of Equality
C. Given
D. Substitution
The reason that best supports Statement 4 in the
given proof is option A. Addition Property of Equality
How does it support statement 4?The statement 4, "4x + 18 = 78," is an equation that is being derived from the previous statements in the proof. The left side of the equation (4x + 18) represents the value of m/X, which was given as 4x + 18 in statement 2.
The right side of the equation (78) represents the value of m2Y, which was given as 78° in statement 3.
Therefore, statement 4 is derived by substituting the known values of m/X and m2Y into the equation m/X = m2Y, which was given as statement 1.
The reason for this substitution is the Addition Property of Equality, which states that if you add the same value to both sides of an equation, the two sides remain equal.
In this case, the same value (4x + 18) is being added to both sides of the equation m/X = m2Y, resulting in the equation 4x + 18 = 78.
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Lowest common multiple for 1080, 1188, 1815
Answer:
To find the lowest common multiple (LCM) of 1080, 1188, and 1815, we need to find the smallest number that is a multiple of all three numbers.
One way to find the LCM is to use prime factorization. We can prime factorize each number and then multiply the highest exponent of each prime factor to get the LCM.
1080 = 2^4 * 3^3
1188 = 2^2 * 3 * 199
1815 = 5 * 11 * 163
The LCM is:
2^4 * 3^3 * 5 * 11 * 163 = 1080 * 11 * 163
So the LCM of 1080, 1188, 1815 is 207940.
Can someone explain how to solve this problem
Answer: [tex]\displaystyle 2x^4 + 9x^3-8x^2+9x -13[/tex]
Step-by-step explanation:
Given:
[tex]\displaystyle (2x^4 + 9x^3 -8)-(8x^2-9x+5)[/tex]
Subtract the second term:
[tex]\displaystyle (2x^4 + 9x^3 -8)-8x^2+9x-5[/tex]
Reorder by the power's degree:
[tex]\displaystyle 2x^4 + 9x^3-8x^2+9x -8-5[/tex]
Combine like terms:
[tex]\displaystyle 2x^4 + 9x^3-8x^2+9x -13[/tex]
Find the value of z.
15 cm
5 cm
82=
20 cm
Give your answer correct to 1
decimal place.
Z
Submit Answer
cm
Answer:
z=12.25
Step-by-step explanation:
first we are going to find the hypotenus x
of the first part of the tiangle as shown in my diagram, using the Pythagoras rule-
hyp= x
opp= 15
adj=5
thus hypothenus²=opposite²+adjacent²
x²=15²+5²
x²=225+25
x²=250
the you use √ to find x
√x²=√250
x=15.81
step 2= to find z
hyp=20
opp:z
adj:15.81
hyp²=opp²+adj²
20²=z²+15.81²
400=z²+250
z²+250=400
z²=400-250
z²=150
√z²=√150
z=12.25
Answer:
z ≈ 12.2 cm
Step-by-step explanation:
using Pythagoras' identity in the 2 right triangles.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
consider the right triangle on the left
let the third side, the hypotenuse be x , then
x² = 5² + 15² = 25 + 225 = 250
consider the right triangle on the right , then
x² + z² = 20²
250 + z² = 400 ( subtract 250 from both sides )
z² = 150 ( take square root of both sides )
z = [tex]\sqrt{150}[/tex] ≈ 12.2 cm ( to 1 decimal place )
What is the quotient of (x4 − 3x3 + 6x2 − 12x + 8) ÷ (x − 1)?
The quotient of the division is x^3 - 2x^2 + 4x - 8
How to determine the quotientFrom the question, we have the following parameters that can be used in our computation:
quotient of (x4 − 3x3 + 6x2 − 12x + 8) ÷ (x − 1)?
Using the long division method of quotient, we have
x - 1 | x^4 - 3x^3 + 6x^2 - 12x + 8
The division steps are as follows
x^3 - 2x^2 + 4x - 8
x - 1 | x^4 - 3x^3 + 6x^2 - 12x + 8
x^4 - x^3
------------------------------------------------
-2x^3 + 6x^2 - 12x + 8
-2x^3 + 2x^2
------------------------------------------------
4x^2 - 12x + 8
4x^2 - 4x
------------------------------------------------
-8x + 8
-8x + 8
----------------------------------------------------
Hence, the quotient is x^3 - 2x^2 + 4x - 8
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Consider the following parametric equations. Answer parts a through d. x=t?. y=t+4: -4 st 54 a. Make a brief table of values oft, x, and y t -4 -2 0 2 4 X(t) 16 4 0 16 y 0 2 26 B (Type integers or decimals.)
The table of x, y and t for the given parametric equations is
The Table is as follows:
t -4 -2 0 2 4
x 16 4 0 4 16
y 0 2 4 6 8
The parametric equations are given:
x = t², y = t + 4; -4 ≤ t ≤ 4
if t = -4
x = (-4)² = 16
y = -4 + 4 = 0
if t = -2
x = (-2)² = 4
y = -2 + 4 = 2
if t = 0
x = (0)² = 0
y = 0 + 4 = 4
if t = 2
x = (2)² = 2
y = 2 + 4 = 6
if t = 4
x = (4)² = 16
y = 4 + 4 = 8
The Table is as follows:
t -4 -2 0 2 4
x 16 4 0 4 16
y 0 2 4 6 8
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Can anyone answer this question?
The line that represents the axis of symmetry will be the lines m, h, and g. When the figure is rotated by 120 degrees, 240 degrees, and 360 degrees then the figure remains the same.
What is the axis of symmetry?Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.
The reflection does not change the shape and size of the geometry. But flipped the image.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The line that represents the axis of symmetry will be the lines m, h, and g. When the figure is rotated by 120 degrees, 240 degrees, and 360 degrees then the figure remains the same.
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How do I covert yard into feet with fractions?
Answer: x/3
Step-by-step explanation:
Say "x" is the number of yards you are given.
remember that one yard = 3 feet.
in order to convert x amount of yards into feet, you must divide x by three.
giving you= x/3
I need help with maths please
Answer:
Below
Step-by-step explanation:
Perimeter A = 2 (x+2 +x) = 4x + 4
Perimeter B = 2 ( 4x+2x) = 12x
now,equate them
4x+4 = 12x solve for x ....subtract 4x from both sides
4 = 8x
x = 1/2
what is the area under the normal curve between z = -1.0 and z = -2.0? 0.0228 0.1359 0.4772 0.3413
The area under the curve between z = −2.0 and z = −1.0 is 0.1359.
We can use tables to find the area under the normal curve between two values of z.
However, tables give areas from z = 0 to z = 3.9 (beyond which there is literally no change). But as the normal curve is symmetric at z = 0, we can use it to find between any two given z values.
For example, for the area under the curve between z = −2.0 and z = −1.0, we can take values for z = 2.0 and z = 1.0; their difference will give the area between z = −2.0 and z = −1.0.
From tables for z = 1.0, we have 0.8413 and for z = 2.0, we have 0.9772 and
Hence, the Area under the curve between z = −2.0 and z = −1.0 is 0.9772−0.8413 = 0.1359.
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A culture begin with 3,800 bacteria. After one hour, the count i 10,000. A. Write an exponential equation in the form y=ab^x that model the number of bacteria after x hour
B. How many bacteria are preent after 6 hour
The function is y = 3800 * (2.63)^x
There are 1257529 bacteria after 6 hours.
The function of the scenarioA. Let y be the number of bacteria after x hours.
We know that y=10,000 when x=1 and
y=3,800 when x=0.
So we can write the equation as follows:
y = 3800 * (10,000/3,800)^x
Evaluate
y = 3800 * (2.63)^x
The bacteria after 6 hoursB. To find the number of bacteria after 6 hours, we substitute x=6 into the equation above:
y = 3800 * (2.63)^6
Evaluate
y = 1257529
So, there are 1257529 bacteria after 6 hours.
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Identify the inital amount (a) and the rate of growth a a prevent y=100000(1. 09)^3
To identify the initial amount (a) and rate of growth in the equation y=100000(1.09)^3, you can use algebra to isolate the variables.
First, divide both sides of the equation by 100000 to get y/100000=(1.09)^3. Then, take the cube root of both sides of the equation to get y/100000=1.09.
Finally, multiply both sides of the equation by 100000 to get y=109000. Therefore, the initial amount (a) is 100000, and the rate of growth is 1.09.
The initial amount, also known as the starting point or the base value, is the value of a variable at the beginning of a given period.
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