ES) 12. There are 2 companies that you can rent a bike from.
Company A charges a fee of $30 plus $5 per hour to rent
their bikes. Company B charges a fee of $40 plus $4 per
hour to rent their bikes.
A. Write an expression for each company with x
representing the number of hours.
B. At how many hours is Company A the same cost
as Company B?
C. What is the cost at the number of hours from part
B?

Answer:

$8

Step-by-step explanation:

First we have to see how much you are paid per car. To do this we divide the money earned ($20), by the number of cars washed (5).

20÷5=4

This tells us you earn $4 per car. So, to find the amount you would earn buy washing 2 cars, you multiply the money earned per car by 2.

4·2=8

This means you would earn $8.

Would you please mark my answer brainliest if it helped you? :D

Answer: it’s actually -285

Step-by-step explanation: took test

The negative angle equivalent to a 75 angle is -285 angle.

We are given a 75 angle and we need to find a negative angle that is equivalent to the 75 angle.

A negative angle is defined as an angle generated in a clockwise direction from its given base.

We have a 75 angle which is in an anti-clockwise direction from the base AB as shown in the figure.

Now we will draw an angle in a clockwise direction from the base AB such that the angle reaches angle 75 which means it is equivalent to angle 75

We have,

Adding the angle from base AB till angle 75.

90° + 90° + 90° + 15° = 285°

Since the angle is measured in a clockwise direction we have,

285° =  - 285°

The negative angle equivalent to a 75 angle is -285 angle.

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Answer:

He should have got 40

Step-by-step explanation:

680 / 45 = 15.11

45 x 16 = 40

Answer:

c=263

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

If the area of the squares are 32 units^2, we have that:

Area = Side * Side

Side^2 = 32

Side = sqrt(32) = 5.657 units

So as the squares are adjacent to two sides of the triangle, we have that the triangle has two sides of 5.657 units

As it is a right triangle, we can use the Pythagoras' theorem:

c^2 = a^2 + b^2

c^2 = 5.657^2 + 5.657^2

c^2 = 64

c = 8 units

Answer:

its 8

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

Answer:

p=x-3y/6

Step-by-step explanation:

x=3y+6p

x-3y=6p

divide both sides by 6

P=x-3y/6

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:

63 for the whole figure, for the different shaded regions it goes as follows, 17.5 for the white area and 45.5 for the grey area

Step-by-step explanation:

The quantity of positive numbers smaller than or equal to \($10,000$\) is \($\fbox{958}$\).

We see that a number \($n$\) is \($p$\)-safe if and only if the leftovers from\($n\mod p$\) is greater than \($2$\) and less than \($p-2$\); thus, there are \($p-5$\) residues \($\mod p$\) that a \($p$\)-safe number can have. Therefore, a number \($n$\) satisfying the circumstances of the issue may \($2$\) different residues \($\mod 7$\), \($6$\) different residues \($\mod 11$\), and \($8$\) different residues \($\mod 13$\). According to the Chinese Remainder Theorem, for a number \($x$\) that is \($a$\) (mod b) \($c$\) (mod d) \($e$\) (mod f) has one solution if \($gcd(b,d,f)=1$\). For instance, in this instance, the number \($n$\) can be: \(3 (mod 7) 3 (mod 11) 7 (mod 13)\)so since \($gcd(7,11,13)=1$\), there is \(1\) solution for \(n\) for this case of residues of \($n$\). As a result, according to the Chinese Remainder Theorem, \($n$\) can have \($2\cdot 6 \cdot 8 = 96$\) different residues mod \($7 \cdot 11 \cdot 13 = 1001$\). Thus, there are \($960$\) values of \($n$\) satisfying the conditions in the range \($0 < n \le 10010$\). Nevertheless, we now have to eliminate all values bigger than \($10000$\) that satisfy the conditions. We can simply see by looking at residues that the only suitable values are \($10006$\) and \($10007$\), so there remain \($\fbox{958}$\) values satisfying the conditions of the problem.

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The domain of the function is (5, e + 5) and derivative is f'(x) = 1/(7(x - 5)(1 − ln(x − 5))²).

Given the function f(x) = (1/7) /(1 − ln(x − 5)).

To differentiate f and find the domain of f, we have to use the quotient rule of derivative. The quotient rule of differentiation states that the derivative of a quotient is given by the numerator's derivative times the denominator minus the denominator's derivative times the numerator, all divided by the square of the denominator.

Hence, we can get the derivative of f(x) as follows:

f(x) = (1/7) /(1 − ln(x − 5))

Using the quotient rule of differentiation, we get

f'(x) = [(1 − ln(x − 5)) * d/dx (1/7)] − [1/7 * d/dx (1 − ln(x − 5)))]/(1 − ln(x − 5))²

= [0 − 1/7(-1/(x - 5))]/(1 − ln(x − 5))²

= [1/(7(x - 5))]/(1 − ln(x − 5))²

= 1/(7(x - 5)(1 − ln(x − 5))²)

Therefore, the derivative of f(x) is f'(x) = 1/(7(x - 5)(1 − ln(x − 5))²).

Now, to find the domain of f(x), we observe that the denominator (1 − ln(x − 5)) must be greater than 0. This is because we cannot take the natural log of a negative number. Hence, we have

1 − ln(x − 5) > 0

⇒ ln(x − 5) < 1

⇒ x − 5 < e¹= e

⇒ x < e + 5

Therefore, the domain of f is the open interval (5, e + 5).Thus, the derivative f'(x) = 1/(7(x - 5)(1 − ln(x − 5))²).

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Answer:

5.5 is the correct answer:)

Step-by-step explanation:

Hope this helped!!!

By using the graph we can see:

First, we want to find the value of x such that the graph touches (intercepts) the x-axis.

On the graph, we can see that it intercepts the x-axis at x = 0, so that is the x-intercept.

Now we want to find f(-2), this is the value of the function when x = -2, to find that we first need to find x = -2 in the horizontal axis.

f(-2) = 4

Now we want to find the value of x such that:

f(x) = 2

so now we need to find 2 in the vertical axis. we can see that the function is equal to 2 for x = -1.3 (approximation).

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Suzanne is correct in stating that the derivative of a cubic function will always be a quadratic function.

Suzanne's statement is correct. A cubic function is a function of the form \(f(x) = ax^3 + bx^2 + cx + d\), where a, b, c, and d are constants.

To find its derivative, we need to differentiate each term of the function with respect to x. The derivative of a constant term d is 0, so we can ignore it. We have:

\(f'(x) = 3ax^2 + 2bx + c\)

As we can see, the derivative of a cubic function is a quadratic function of the form g(x) = \(3ax^2 + 2bx + c\).

Therefore, Suzanne is correct.

Recall that a cubic function is a function of the form\(f(x) = ax^3 + bx^2 + cx + d,\)

where a, b, c, and d are constants.

To find the derivative of this function, we need to differentiate each term with respect to x.

The derivative of a constant term d is 0, so we can ignore it.

Applying the power rule of differentiation, we get:

\(f'(x) = 3ax^2 + 2bx + c\)

As we can see, the derivative of a cubic function is a quadratic function of the form g(x) = \(3ax^2 + 2bx + c.\)

Therefore, Suzanne is correct in stating that the derivative of a cubic function will always be a quadratic function.

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59/150

How?

w= 59/150

59/150 and -2/3 have to have the same denominators.

So, what I did was, -2/3×50= -100/150.

(Process of a new equation)

59/150-(-100/150)

[The two - signs cross each other out, making it a + ]

59/150+100/150 <- New Equation

__________________________________

59/150+100/150= 159/150

159/150= 1 9/150

9÷150=0.06

1+0.06= 1.06

(PROOF ABOVE)

Answer

add 1.06 = 1 3/50  = 1 3/50 + (-2/3) =  59/150

Step-by-step explanation:

Solving the triangle JKL using the fact that the sum of angles in a triangle is 180 degrees, we find that x is approximately 174.4 degrees.



To solve for x in the given equation, we can use the fact that the sum of angles in a triangle is equal to 180 degrees. Since JKL is a triangle, we can write:

J + K + L = 180

Substituting the given values:

3.6 + 2 + x = 180

Simplifying the equation:

5.6 + x = 180

Subtracting 5.6 from both sides:

x = 180 - 5.6

x ≈ 174.4

Therefore, the value of x rounded to the nearest tenth of a degree is approximately 174.4 degrees.

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Step-by-step explanation:

start by collecting like terms

4x² - 6x -9

use quadratic equation, a=4, b= 6 and 9 = c.

x = 5,78 or x = -4,28

The sum of all interior angles of a 28-sided regular polygon is 4680°.

What is a polygon ?

The definition of a polygon is a closed, two-dimensional, plane shape created by connecting three or more line segments. During our study of geometry, polygons are a common sight.

Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of many kinds can be seen all around us. For instance, a honeycomb is shaped like a hexagon.

An n-sided polygon's inner angle measurements added together equal to (n-2)180°. As a result, for a polygon of 28 sides, the sum of the interior angle measurements is 26(180°) = 4680°.

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Answer:

b) 4,680

Step-by-step explanation:

hope this helps

Answer:

No

Step-by-step explanation:

no you do not get the same answer

This is the order in which you should approach problems, doing otherwise may lead to a wrong answer

P - parenthesis -- meaning solve whatever is the the parenthesis

E - exponents -- an example of an exponent is \(2^{3}\) which equals 8

MD - multiplication/division

AS - addition / subtraction

for our particular problem, we have

9 + 2(3)

multiplication trumps addition thus we perform multiplication first

9 + 6 = 15 ---CORRECT

if we were to addition first we would get

9 + 2(3) = 11(3) = 33 This would be WRONG

note: multiplication and division are on the same level

         subtraction and addition are on the same level

if you encounter a problem like 4 ÷ 2 * 3. perform the calculation from left to right thus we would have 4 ÷ 2 = 2 and then 2 * 3 = 6

same applies for addition subtraction

The value of  ∂u∂f​​(u,v)=(−2,−2) = -20 and ∂v∂f​​(u,v)=(−2,−2) = -45.

To evaluate the partial derivatives ∂u∂f​​(u,v)=(−2,−2) and ∂v∂f​​(u,v)=(−2,−2), we can use the Chain Rule. We first take the partial derivatives of f(x,y,z) with respect to x, y, and z, and then substitute in x = u2 + v, y = u + v2, and z = 4uv.

First, ∂f∂x​=3x2, ∂f∂y​=yz and ∂f∂z​=y2.

Substituting in x = u2 + v, y = u + v2, and z = 4uv gives us: ∂f∂x​=3(u2 + v)2, ∂f∂y​=(u + v2)(4uv) and ∂f∂z​=(u + v2)2.

Next, we use the Chain Rule to find ∂u∂f​​(u,v)=(−2,−2) and ∂v∂f​​(u,v)=(−2,−2):

∂u∂f​​(u,v)=(−2,−2)= ∂f∂x​•∂x∂u​​ + ∂f∂y​•∂y∂u​​ + ∂f∂z​•∂z∂u​​ = 3(u2 + v)2•(2u) + (u + v2)(4uv)•(1) + (u + v2)2•(4v) = 6u2 + 8uv + 4uv + 4v2 = 10uv + 6u2 + 4v2

∂v∂f​​(u,v)=(−2,−2)= ∂f∂x​•∂x∂v​​ + ∂f∂y​•∂y∂v​​ + ∂f∂z​•∂z∂v​​ = 3(u2 + v)2•(1) + (u + v2)(4uv)•(2v) + (u + v2)2•(4u) = 3 + 8uv + 8u2 = 8u2 + 8uv + 3

When (u,v)=(−2,−2), we have ∂u∂f​​(u,v)=(−2,−2) = 10(-2)(-2) + 6(-2)2 + 4(-2)2 = 20 - 24 - 16 = -20 and ∂v∂f​​(u,v)=(−2,−2) = 8(-2)2 + 8(-2)(-2) + 3 = -32 - 16 + 3 = -45.

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Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24

We should know that BODMAS is a mathematical approach which means

In each of the expressions, we must follow the approach

1)    \(\frac{(6+3)^{2} }{3*9}\)

Simplifying this we have 9²/9=81/9

=9

2)  \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)

Using BODMAS we have

(9-12)/4/40

-3÷1/9

⇒-3*4

=-12

(3)   \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)

Using BODMAS we have

(4.5+2*6.25-6)/32+9

⇒(4.5+12.5-6)/41

=11/41=0.27

4     (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))

Using BODMAS we have  

(3.5+16-6.25)/10.5-66

Simplifying

(13.25)/-55.5

=0.24

Therefore, the values when simplified are  (1) 9, (2)-12, (3) 0.27, and (4) 0.24

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Answer: Your answer is 6

Answer:

The one that ends with jointly!

Step-by-step explanation:

Answer:

B. Married filing jointly

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Angle AEB is a 90 angle

90 = 5b

18 = b

The expected number of fatalities per month is 1.6, and the standard deviation is approximately 1.265.

a) A suitable probability distribution for Y, the number of fatalities per month, is the Poisson distribution. The Poisson distribution is commonly used to model the number of events that occur in a fixed interval of time or space, given the average rate at which those events occur.

b) To find the probability that no fatalities will occur during any given month, we can use the Poisson distribution with λ = 1.6 (average number of fatalities per month). The probability mass function (PMF) of the Poisson distribution is given by P(Y = k) = (e^(-λ) * λ^k) / k!, where k is the number of events (fatalities) and e is the base of the natural logarithm.

For Y = 0 (no fatalities), the probability can be calculated as follows:

P(Y = 0) = (e^(-1.6) * 1.6^0) / 0! = e^(-1.6) ≈ 0.2019

Therefore, the probability that no fatalities will occur during any given month is approximately 0.2019 or 20.19%.

c) To find the probability that one fatality will occur during any given month, we can use the same Poisson distribution with λ = 1.6. The probability can be calculated as follows:

P(Y = 1) = (e^(-1.6) * 1.6^1) / 1! = 1.6 * e^(-1.6) ≈ 0.3232

Therefore, the probability that one fatality will occur during any given month is approximately 0.3232 or 32.32%.

d) The expected value (mean) of Y, denoted as E(Y), can be calculated using the formula E(Y) = λ, where λ is the average number of fatalities per month. In this case, E(Y) = 1.6.

The standard deviation of Y, denoted as σ(Y), can be calculated using the formula σ(Y) = √λ. In this case, σ(Y) = √1.6 ≈ 1.265.

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Marco's data points have a better line of best fit based on a comparison of Correlation coefficients.

Marco is incorrect in stating that his data points have a better line of best fit than Landon based solely on the comparison of correlation coefficients. The magnitude of the correlation coefficient alone does not determine the quality or strength of the line of best fit.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1. A positive correlation coefficient (such as 0.85) indicates a positive linear relationship, while a negative correlation coefficient (such as -0.85) indicates a negative linear relationship. The closer the correlation coefficient is to -1 or +1, the stronger the relationship. A correlation coefficient of 0 indicates no linear relationship.

In the case of Landon and Marco, both correlation coefficients have the same absolute value of 0.85, suggesting a strong linear relationship. However, the negative sign for Landon's correlation coefficient indicates a negative linear relationship, while the positive sign for Marco's correlation coefficient indicates a positive linear relationship.

The comparison between -0.85 and 0.85 should not be made in terms of greater or lesser quality of the line of best fit. The choice of a positive or negative correlation depends on the context and nature of the variables being analyzed.

The appropriateness of the line of best fit and the goodness-of-fit of the model should be evaluated based on additional factors such as the data points' distribution around the line, residuals, and the overall context of the analysis. These aspects provide more comprehensive insights into the quality of the fit and the reliability of the relationship being represented.

Therefore, Marco's data points have a better line of best fit solely based on a comparison of correlation coefficients. The interpretation of the correlation coefficient requires considering the nature of the variables and other factors influencing the analysis.

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Answer:

48ft

Step-by-step explanation: