The answer is 37.5.
What is the value of y when x = 2 if y varies directly with x and when y = 75, x = 4?The problem provides the information that "the value of y varies directly with x", which means that there is a constant of proportionality between y and x, denoted by k. This can be written as an equation: y = kx. To find the value of k, we can use the information given in the problem. When y = 75 and x = 4, we have 75 = k(4), which means k = 75/4. Now, we can use this value of k to find the value of y when x = 2: y = (75/4)(2) = 37.5.
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I need helppp pleaseeeeee!!!!!!!!!!!!!!
Answer:
$5.55
Step-by-step explanation:
At noon, the temperature is 49 degrees. The temperature rises 6 degrees by 3 pm and drops 12 degrees by midnight. Which THREE statements are correct for this situation. A) The temperature at 3 pm is 55 degrees. B) The temperature at midnight is 43 degrees. C) The temperature at midnight is 56 degrees. D) The temperature at midnight is 37 degrees. E) The temperature at midnight is 6 degrees coller than at noon
Answer:
A, B, E
Step-by-step explanation:
49+6=55
55-12=43
49-6 = 43
12pm = 49°
3pm = 55°
12am = 43°
What is the domain of y = cos X? O A. All real numbers OB. + NT O C. x + nT OD. -1 ≤ y ≤1 I
Answer:
The domain of y = cos x is the set of all real numbers.
Therefore, the correct option is O A. All real numbers.
Step-by-step explanation:
The domain of y = cos x is the set of all real numbers.
Therefore, the correct option is O A. All real numbers.
find the equivalent fractionsss with large denominatorsss
Answer:
12
Step-by-step explanation:
\( \frac{3}{8} = \frac{?}{32} \)
8*4=32
3*4=12
let f(x) = (1 4x2)(x − x2). find the derivative by using the product rule. f '(x) = find the derivative by multiplying first. f '(x) = do your answers agree? yes no
The value of derivative f '(x) can be simplified to f '(x) = -20x³+4x²+8x+1.Yes the answer agrees.
To find the derivative of f(x) = (1 + 4x²)(x - x²) using the product rule, we first take the derivative of the first term, which is 8x(x-x²), and then add it to the derivative of the second term, which is (1+4x²)(1-2x). Simplifying this expression, we get f '(x) = 8x-12x³+1-2x+4x²-8x³.
To find the derivative by multiplying first, we would have to distribute the terms and then take the derivative of each term separately, which would be a more tedious process and would not necessarily give us the same answer as using the product rule. .
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Divide using a common factor of three to find an equivalent fraction for 9/12
- - - - - - - - - - - - - - - - - -
First, figure out how three goes into each number.
- - - - - - - - - - - - - - - - - -
3 x 3 = 9
3 x 4 = 12
- - - - - - - - - - - - - - - - - -
Now, divide each by three ⇣
9 / 3 = 3
12 / 3 = 4
Take each quotient (answer) and make a fraction.
3/4 ↩︎- - - - - - - - - - - - - - - - - -
Have a great day/night! :)
~pinetree
In right-angled ∆ ABC, ∟B=90⁰. ∆ ABC is in the first and second quadrant on the graph paper. The coordinates of the points A and C are (2,5) and (-2,3). How do you find the possible pairs of coordinates of B?
Answer:
The given coordinates of the points A and C of the right triangle ABC are (2, 5) and (-2, 3) respectively
The possible pairs of the coordinates of the point B are found as follows;
1) Draw a horizontal line from the point C to the right and a vertical line down from the point A to get the point B at (2, 3) which is the point of the perpendicular intersection of the two constructed lines above
2) Draw a vertical line from the point C upwards and a horizontal line to the left from the point A to get the point B at (-2, 5) which is the point of the perpendicular intersection of the two newly constructed lines here
Step-by-step explanation:
Jenna traveled to Mexico. Before returning home, she converted all her pesos back into dollars. How much did she receive if she exchanged 1047.5 pesos at a rate of 5 dollars = 115.21 pesos?
Answer:
Dollars= $45.46
Step-by-step explanation:
Giving the following information:
Pesos= 1,047.5
Exchange rate:
5 dollars= 115.21
First, we need to determine the exchange rate for 1 dollar:
1 dollar= 115.21/5
1 dollar= 23.042 pesos
Now, for 1,047.5 pesos:
Dollars= total pesos / exchange rate
Dollars= 1,047.5/23.042
Dollars= $45.46
Answer:
45.46 dollars
Step-by-step explanation:
Kaylee conducted a scientific experiment. For a certain time, the temperature of a
compound rose 1 degrees every of an hour. What was the rate, in degrees per
hour, that the temperature of the compound rose? Enter your answer as a whole
number, proper fraction, or mixed number in simplest form.
The rate was the temperature increased by 1 degree for every 1 hour that passed.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
Kaylee carried out a scientific experiment. For a period of time, the temperature of a compound grew by one degree per hour.
The rate at which the temperature of the compound rose is 1 degree per hour. This means that for every hour that passed, the temperature of the compound increased by 1 degree.
The units for the rate are degrees per hour, which means that the temperature increased by 1 degree for every 1 hour that passed.
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SAT test scores are normally distributed with a mean of 500 and a standard deviation of 100. Find the probability that a randomly chosen test-taker will score between 470 and 530. (Round your answer to four decimal places.)
The probability that a randomly chosen test-taker will score between 470 and 530 is 0.2358 (or 23.58% when expressed as a percentage).
To solve this problem, we need to use the standard normal distribution formula:
Z = (X - μ) / σ
where Z is the standard score (z-score) of a given value X, μ is the mean, and σ is the standard deviation.
First, we need to convert the given values of 470 and 530 to z-scores:
Z1 = (470 - 500) / 100 = -0.3
Z2 = (530 - 500) / 100 = 0.3
Next, we need to find the probability that a randomly chosen test-taker will score between these two z-scores.
We can use a standard normal distribution table or a calculator to find the area under the curve between -0.3 and 0.3.
Using a calculator or an online tool, we find that the area under the curve between -0.3 and 0.3 is approximately 0.2358.
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suppose you have the following data: x 1 2 3 4 5 6 y 43 37 29 22 22 11 and the lsrl is ŷ =. find the residual value for x = 4.
a) 34.414 b) -7.586 c) 42 d) 7.586 e) None of the above
For x = 4, the residual value is -7.586. Therefore, the correct option is b.
We are required to find the residual value for x = 4 using the given data and the LSRL ý = 20.47 + 3.486x.
To find the residual value, follow these steps:
1. Find the predicted value for x = 4 using the LSRL equation.
ý = 20.47 + 3.486(4) = 20.47 + 13.944 = 34.414
2. Locate the actual value of y when x = 4 in the data.
x: 1 2 3 4 5 6
y: 43 37 29 22 22 11
For x = 4, the actual y value is 22.
3. Calculate the residual value using the formula:
Residual = Actual value - Predicted value
Residual = 22 - 34.414 = -7.586
Hence, the residual value for x = 4 is -7.586, which corresponds to option b: -7.586.
Note: The question is incomplete. The complete question probably is: Suppose you have the following data: x 1 2 3 4 5 6 y 43 37 29 22 22 11 and the lsrl is ý = 20.47 + 3.486. Find the residual value for x = 4. a) 34.414 b) -7.586 c) 42 d) 7.586 e) None of the above.
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Question 8 of 40
Factor this polynomial completely.
x2 + 3x - 18
O A. (x-2)(x + 9)
O B. (x+3)(x-6)
O C. (x - 3)(x-6)
O D. (x - 3)(x+6)
Answer:
\(D.\:\left(x-3\right)\left(x+6\right)\)
Step-by-step explanation:
\(x^2 + 3x - 18\)
\(\left(x^2-3x\right)+\left(6x-18\right)\)
\(\left(x^2-3x\right):x\left(x-3\right)\)
\(\left(6x-18\right):6\left(x-3\right)\)
\(x\left(x-3\right)+6\left(x-3\right)\)
Factor, common term:- x-3
\(\left(x-3\right)\left(x+6\right)\)
~
Which equation best represents a line perpendicular to a line passing through points (-1, 2) and (1,–8)?
O y = -5x - 3
Oy=52 - 2
O y = 5x + 2
O y=-10 - 2
Answer:
y=-5x-3
Step-by-step explanation:
put -1 and 1 in equation and you will get the answer
The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0
The equation of the line passing through (-1, 2) and (1, -8). Then the equation of the line will be
y + 8 = [(-8 - 2) / (1 + 1)] (x - 1)
y + 8 = -5x + 5
y = - 5x - 3
The equation that best represents a line perpendicular will be y = - 5x - 3. Then the correct option is A.
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Which number line shows the solution of 6x- 12>-6?
Answer:
The graph below shows a proportional relationship between xxx and yyy.
What is the constant of proportionality, \dfrac{y}{x}
x
y
start fraction, y, divided by, x, end fraction ?
Step-by-step explanation:
Answer: Option A
Step-by-step explanation:
6x - 12 > -6
6x > 6
x > 1
Part a
describe the process you could use to find the probability that jake will earn at least 30 points on a throw, given that he hits the target? note: assume that it is equally likely that he will hit any region in the target.
The probability that Jake will earn at least 30 points on a throw is 0.335
How to describe the process?The attached image represents the missing part of the question.
From the attached image, we can see that:
For Jake to earn at least point, he must hit the three circles (starting from the inner circle)
The radius of the yellow circle is:
Radius = 3
While the width of the other circles is:
Width = 4
The total area of the sections that give a point of at least 30 is:
A₁ = π * (3 + 4 + 4)² = 121π
The total area of all the sections is:
A₂ = π * (3 + 4 + 4 + 4 + 4)² = 361π
The probability of getting at least 30 points is:
P(At least 30) = 121π/361π
Evaluate
P(At least 30) = 0.335
Hence, the probability that Jake will earn at least 30 points on a throw is 0.335
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which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5 7?
The expression used by commutative property of addition and the associative property of multiplication to rewrite the expression (3x2) x 5+7 is 7+3.(2.5).
The commutative property or commutative law of mathematics states that while executing mathematical operations, the order of terms is irrelevant.
Only addition and multiplication operations are under the purview of the commutative property. As a result, it means that while adding or multiplying any two integers, we can swap the positions of the numbers. One of the main characteristics of integers is this.
According to the commutative property of multiplication, even if the positions of the two integers are switched around, the result of multiplying two integers will still be the same.
Suppose A and B are two integers;
A × B = B × A
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HELPPP ITS DUE TODAY
Answer:
15
Step-by-step explanation:
What is the length of the missing side of the right triangle?
A) 14 feet
B) 10 feet
C) 9.5 feet
D) 12 feet
(please give a brief explanation)
Answer:
10 feet
Step-by-step explanation:
You use the pythagorean theorem to find the missing side of a right triangle.
side^2 + side^2 = hypotenuse ^2
6^2 + 8^2 = X^2
36 + 64 = 100
square root of 100 = 10
Which is not a solution of 5(2x+4)\(\geq\) 2(x+34)? pllllllzzzzzz i need this so much
I think it's help u so follow me and brainlist me if it's wrong then tell me
Number 24! Please I really need it!
Answer:
Step-by-step explanation:
since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore ∠2 ≈ ∠3
:)
List the three reasons why a function might be discontinuous at the point x=c
From the question;
we are to state the three reasons why a function might be discontinuous at the point x=c
A funtion f(x) is discontinuous at a point x = c if
1.
\(f(c)\text{ is not defined}\)2.
\(\lim _{x\to c}\text{ f(c) does not exi}st\)3.
\(\lim _{x\to c}\text{ f(x) }\ne f(c)\)If all this condition are statisfied, then the function is discontinuous at x = c
which is the secondary use of data from the 2000 census classification system to identify disparities in mentalhealthcare
The secondary use of data from the 2000 census classification system to identify disparities in mental healthcare.
What is the 2000 census classification system?The 2000 Census classification system helps our communities choose where to build everything from homes to hospitals to schools and shops. It also reveals who we are as a country and where we are headed. It aids in the government's decision-making about the allocation of cash and assistance to cities and states.
The government-wide 2000 Standard Occupation Classification (SOC) system served as the foundation for the 2000 Census classification system, while the 1980 SOC was used for the 1990 Census.
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Which of the following is an accurate definition for the power of a statistical test ?
A the probability of supporting true null hypothesis
B the probability of supporting a false null hypothesis
C the probability of rejecting a false null hypothesis
D the probability of rejecting a true null hypothesis
Which of the following is an accurate definition for the power of a statistical test is C. The power of a statistical test refers to the probability of rejecting a false null hypothesis. This means that the test is able to correctly identify when there is a significant difference between two groups or conditions.
statistical tests are used to determine whether the results of an experiment are likely due to chance or whether there is a real effect. The null hypothesis states that there is no significant difference, while the alternative hypothesis states that there is. The power of a statistical test refers to the ability of the test to correctly reject the null hypothesis when it is false, and thus support the alternative hypothesis.
, the power of a statistical test is the probability of correctly rejecting a false null hypothesis, which indicates that there is a significant difference between two groups or conditions.
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help plzz ... Trigonometry
Answer:
XYZ = 21.8
Step-by-step explanation:
the missing angle is XYZ
cos XYZ = \(\frac{adjacent}{hypotenus}\) tan XYZ = \(\frac{6}{15}\) tan XYz = 0.4using a calculator:
tan^(-1)(0.4)= 21.8so XYZ = 21.8
factor completely 1-x^2
Answer:
(1 + x)(1 - x)
Step-by-step explanation:
Step 1: Rewrite 1 as 1^2
\(1 - x^2\) \(1^2 - x^2\)Step 2: Apply difference of two squares formula \(x^2 - y^2 = (x+y)(x-y)\)
\((1+x)(1-x)\)Therefore, the answer is (1 + x)(1 - x).
Evaluate the expression −x^2 + 2x-7 when X=-4
Jill is making a long cape she needs 4 1/3 yards of blue fabric for the outside of the key she needs 3 2/3 yards of purple fabric for the lining the Cape
A) Notice that the two mixed fractions are equivalent to
\(\begin{gathered} 4\frac{1}{3}=4+\frac{1}{3} \\ \text{and} \\ 3\frac{2}{3}=3+\frac{2}{3} \end{gathered}\)Jill transformed 4 into 12/3 and 3 into 9/3, and then she subtracted the second quantity from the first one. She forgot about the 1/3 and 2/3.
B) The correct calculation is
\(\begin{gathered} 4\frac{1}{3}-3\frac{2}{3}=(4+\frac{1}{3})-(3+\frac{2}{3})=4+\frac{1}{3}-3-\frac{2}{3}=(4-3)+(\frac{1}{3}-\frac{2}{3})=1+(-\frac{1}{3})=\frac{2}{3} \\ \Rightarrow4\frac{1}{3}-3\frac{2}{3}=\frac{2}{3} \end{gathered}\)The answer to part B) is 2/3
the school of business believes that a review course will help to improve the mean score on an outcomes assessment test. a faculty member claims that the improvement is no more than 3%. a sample of 30 students' scores shows a mean score improvement of 2.8%. what would be the null hypothesis to test the faculty member's claim at the 5% significance level?
The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level is that the true mean score improvement on the outcomes assessment test is equal to or less than 3%.
What is null hypothesis?The null hypothesis is a statement that assumes there is no significant difference or relationship between two variables in a population, or that any observed difference or relationship is due to chance or sampling error. It is usually denoted by "H0" and is used in statistical hypothesis testing to determine whether there is evidence to support an alternative hypothesis.
In the given question,
The null hypothesis to test the faculty member's claim that the improvement is no more than 3% at the 5% significance level would be:
H0: The true mean score improvement on the outcomes assessment test is equal to or less than 3%.
This hypothesis assumes that there is no significant improvement in the mean score on the outcomes assessment test as a result of the review course. The alternative hypothesis would be:
Ha: The true mean score improvement on the outcomes assessment test is greater than 3%.
This hypothesis assumes that there is a significant improvement in the mean score on the outcomes assessment test as a result of the review course.
To test these hypotheses, we would use a one-tailed t-test with a significance level of 0.05 and calculate the t-value and p-value based on the sample data. If the p-value is less than 0.05, we would reject the null hypothesis and conclude that there is evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course. If the p-value is greater than or equal to 0.05, we would fail to reject the null hypothesis and conclude that there is no evidence of a significant improvement in the mean score on the outcomes assessment test as a result of the review course.
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PLSSS HELP IF YOU TURLY KNOW THISSS
Answer:
4
Step-by-step explanation:
\(2(2x+6) = 28\)
Distribute the 2 first:
\(4x + 12 = 28\)
Subtract 12 from both sides:
\(4x + 12 - 12 = 28 - 12\)
\(4x = 16\)
Divide each side by 4:
\(\frac{4x}{4} = \frac{16}{4}\)
\(x = 4\)
Sydney spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.3°F. Between 9am and noon, the temperature rose 12°F. Between noon and 3pm, the temperature went up 11.5°F. Between 3pm and 6pm, the temperature dropped 16.3°F. What was the temperature at 6pm?
The temperature at 6pm was of -5.1ºF.
This problem can be solved by using system of equations.
A system of equations means when there are two or more variables that are related, and equations are made to find the values of each variable of the problem.
It is given that at 9 am, the temperature was -12.3°F. Between 9am and the noon, the temperature rose 12°F. So, the temperature at noon was of -12.3 + 12 = -0.3ºF.
Also, between the noon and 3pm, the temperature went up 11.5°F. So, at 3 pm, the temperature was of -0.3 + 11.5 = 11.2 ºF.
Further, between 3pm and 6pm, the temperature dropped 16.3°F.So, the temperature at 6 pm was of 11.2 - 16.3 = -5.1 ºF.
Hence, the temperature at 6pm was -5.1°F
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