a gym membership costs $25 per month after $75 registration fee to be paid upon signing up. Identify the rat of change (slope) for joining the gym. Label your answer with units
​

For a lower tail test, the p-value is the probability of obtaining a value for the test statistic as small as or smaller than that provided by the sample. For an upper tail test, the p-value is the probability of obtaining a value for the test statistic as large as or larger than that provided by the test statistic.

In statistics, the p-value is the probability of obtaining results at least as extreme as the observed results of a statistical hypothesis test, assuming that the null hypothesis is correct. The p-value serves as an alternative to rejection points to provide the smallest level of significance at which the null hypothesis would be rejected. A smaller p-value means that there is stronger evidence in favor of the alternative hypothesis.

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Answer:

$0.49

Step-by-step explanation:

If the tube is 8 ounces and is priced at $3.92, then one ounce would be $3.92/8 =

$0.49

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

s = 12

Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

\(\frac{AB}{XY}\) = \(\frac{AC}{XZ}\) , substitute values

\(\frac{6}{9}\) = \(\frac{8}{s}\) ( cross- multiply )

6s = 72 ( divide both sides by 6 )

s = 12

The price per share of the stock of the high-tech firm that was purchased by Jake is  $50.

Percentage is a measure of frequency that calculates the fraction of an amount out of hundred.

What is the price per share of the stock purchased by Jake = current value / ( 1 + percentage increase)

61 / 1.22 = $50

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The length is 14 ft, the width is 10 ft, and the area of the rectangle is 140 square feet.

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Given that the scale of the plan is:

Scale = 4 in: 5 ft = \(\frac{5ft}{4in}\)

Multiply the length of the studio with the given scale:

\(l= 11.2\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\l = 14 ft\)

Multiply the width of the studio with the given scale:

\(w= 8\cancel{\text{ in}} (\frac{5\text{ ft}}{4 \text{ in}}) \\\\w = 10 ft\)

The area of the rectangle is given by the formula:

\(A= l * b\)

Substitute the value of l = 14 and w = 10:

\(A= (14)(10)\\\\\\A= 140 ft^2\)

Hence, the length is 14 ft, the width is 10 ft, and the area is 140 square feet.

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Answer:

the required answers are :

a) x = 4

b) x = 3

c) a = 7

d) x = -15

Step-by-step explanation:

the whole process is given in the solution in attached picture. okay

The unit tangent vector t(t) is (3, 4t, 2t) / sqrt(9 + 20t^2), and the unit normal vector n(t) is (3, 4, 2t) / sqrt(25 + 4t^2).

The unit tangent vector t(t) of the given vector function r(t) = (3t, 1 + 2t^2, t^2) is obtained by dividing the derivative of r(t) by its magnitude. The derivative of r(t) is (3, 4t, 2t), and the magnitude of this vector is sqrt(9 + 20t^2). Therefore, t(t) = (3, 4t, 2t) / sqrt(9 + 20t^2).

The unit normal vector n(t) can be obtained by dividing the derivative of t(t) by its magnitude. The derivative of t(t) is (3, 4, 2t), and the magnitude of this vector is sqrt(25 + 4t^2). Thus, n(t) = (3, 4, 2t) / sqrt(25 + 4t^2).

These unit vectors t(t) and n(t) represent the direction of motion and the direction of the curve's curvature at each point t, respectively, providing valuable information about the behavior of the vector function r(t).

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Answer:

no solution

-6 ≠ 2

Step-by-step explanation:

y = 2x + 6

2x - y = 2

substitute for y:

2x - (2x + 6) = 2

combine like terms:

-6 ≠ 2

Answer:

slope is the rise over run. so for the first one you have to go up 1 and over 3 then plot the point. the y intercept is the point on the vertical line. so you should then have two points the one on the vertical line and the rise over run.

Answer:

Step-by-step explanation:

6.

if the slope is 8 , y-intercept is 2

use the general equation for slope intercept y= mx+b where m is slope and b is y-intercept

y= 8x +2

7.

slope is 0, y- intercept  is -3

y= 0*x -3  the equation is y= -3

8. (same steps for 9)

slope is 5, and (2,7) on the line

use the point slope equation (y-y1) = m( x-x1)

y-7 = 5 (x-2)

now transform it into the slope intercept form y= mx+b

y = 5x - 10 + 7; y = 5x -3

5.

between the points (0, -2) and ( 2, 0 ) the slope is m = (y2-y1)/(x2-x1) =(-2-0)/(0-2) = 1, and the y-intercept is -2

y= 1*x -2 ; y=x-2

13.

a. y= 18x +10 because the distance y is 18 for each x hour plus the extra 10 miles that she had at the start

b. the y-intercept is where the graph intersects the y-axis so is 10 and represents the starting point at 10 miles , and the slope is 18 and represents how fast is moving

c. after 2 hours means x=2

y= 18*2 +10 = 36+10 = 46 miles

The number of pounds Luke and Liam each lost over 3 weeks is: (3/2)x + 5 (since it is the expression for Luke's weight loss) or (9/2)x - 2 (since it is the expression for Liam's weight loss)

the expression for Luke's weight loss over 3 weeks is: (x) + (4 pounds) + (1 pound more than 1/2 of the pounds he lost the first week)

                        = x + 4 + (1/2)x + 1

                        = (3/2)x + 5

the expression for Liam's weight loss over 3 weeks is: (1 pound less than 2 times the pounds Luke lost the first week) + (4 pounds less than 2 times the pounds Luke lost the first week) + (1 pound more than 1/2 of the pounds Luke lost the first week)

                        = (2x - 1) + (2x - 4) + (1/2)x + 1

                        = (9/2)x - 2

The number of pounds Luke lost in the first week is: x

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Answer:

1  111/125

Step-by-step explanation:

The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.

A bowl-shaped object is defined as having a curve at the surface created by the intersection of a cone and a plane that is perpendicular to a straight line. Another definition of a curve is one created when a moving point moves such that its distance from a fixed point equals its distance from a fixed line. A quadratic function is known in this form as its standard form.

The trajectory of a plane to a point equal in distance from the fixed time is called as parabola. The fixed point is called the focal point of the parabola and the line is called the alignment of the parabola.

Therefore, The answer is true because a parabola is made up of all points that are equally distant from a fixed point and a fixed line for a given fixed point and fixed line.

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The approximate value of the expression \(log_{5}\) ( \(\frac{4}{7}\) ) is -0.3477.

A Logarithm is just another way to express an exponent. Logarithmic properties are used to compress or expend the existing log expression.

Here we use log property for the expansion i.e.,

\(log_{b}\) \(\frac{x}{y}\) = \(log_{b}\) x + \(log_{b}\) y

(Note that \(log_{b}\)x = \(\frac{ log x} {log \\b}\) )

Given,

\(log_{5}\) ( \(\frac{4}{7}\) )

can be written as:

\(log_{5}\) ( \(\frac{4}{7}\) ) =  \(log_{5}\) (4) -  \(log_{5}\) (7) = \(\frac{log 4 - log 7}{log 5}\) =  \(\frac{0.6020 - 0.8450}{0.69897}\) = - 0.3477

Hence the expression value is -0.3477.

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The quadrants which the solutions for the inequality "y is less than or equal to two sevenths times x plus 1" exist is: 3. All four quadrants.

In Mathematics, a quadrant simply refers to the area that is occupied by the values on the x-coordinate (x-axis) and y-coordinate (y-axis) of a cartesian coordinate.

Next, we would translate the word problem into an inequality as follows;

y is less than or equal to two sevenths times x plus 1: y ≤ 2x/7 + 1

In this exercise, we would use an online graphing calculator to plot the given linear function y ≤ 2x/7 + 1 in order to determine the quadrant as shown in the graph attached below.

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Answer:

\sqrt(3)[cos((4\pi )/(45))+isin((4\pi )/(45))]

Step-by-step explanation:

The first one.

Answer:

D

Step-by-step explanation:

So we have the equation:

\(A=\frac{1}{2}(12)(3+7)\)

And we want to find out which of the answer choices is not equivalent.

Thus, let's go through each of the choices.

A)

We have:

\(\frac{12(3+7)}{2}\)

This is correct.

Our original equation can be written as:

\(A=\frac{1}{2}(\frac{12(3+7)}{1})\)

And if we multiply straight across:

\(A=\frac{12(3+7)}{2}\)

We'll get choice A. So choice A is correct.

B)

We have:

\(6(3+7)\)

This is also correct.

From our original equation:

\(A=\frac{1}{2}(12)\cdot(3+7)\)

If we multiply the first term together:

\(A=6(3+7)\)

We'll get choice B. So, choice B is correct.

C)

We have:

\(0.5(12)(10)\)

This is correct as well.

If we reduce 1/2 to decimal form and add the operations within the parentheses in the original equation, we will get:

\(A=\frac{1}{2}(12)(3+7)\\A=0.5(12)(10)\)

So, C is also correct.

D)

We have:

\(\frac{12}{2}\times\frac{10}{2}\)

Note that this is not correct.

This attempted to use the distributive property. However, the distribute property does not work for multiplication. For instance:

\(3(2+1)\text{ indeed equals } 3(2)+3(1)\)

However:

\(3(2\times1)\text{ does not equal} 3(2)\times3(1)\)

So, choice D is not equivalent.

So choice D is our answer :)

If we evaluate it, we will get 30, in contrast to the 60 of the others.

Answer:

-45x - 15

Step-by-step explanation:

(9x+3)-5

Multiply the bracket with -5

-45x -15

The length of each side of the square is 280/4 = 70 feet.

The perimeter of a square is the total length of all the sides of the square added together. Since the perimeter of this square is 280 feet, this means that if we add up the length of all four sides, the total length is 280 feet. Therefore, we can divide the perimeter (280 feet) by the number of sides (4) in order to calculate the length of each side. This means that the length of each side of the square is 280/4 = 70 feet. Therefore, the length of each side of the square is 70 feet. By dividing the perimeter of the square by the number of sides, we can easily calculate the length of each side of the square.

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Answer:

Any time you take a binomial and multiply it to itself, you end up with a perfect square trinomial. For example, take the binomial (x + 2) and multiply it by itself (x + 2). The result is a perfect square trinomial.

Answer:

True, since integers are whole numbers that go from negative infinite all the way up to positive infinite. Which means it doesn't have a start or an end

Hope this helps!

Answer:

True

Step-by-step explanation:

The list of negative integers goes on without bounds,

Answer:

7y^2

Step-by-step explanation:

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

Answer:

y ÷ 7

Step-by-step explanation:

Quotient is code for divide.

We don't want to subtract so the first option isn't correct

We don't want to add so the second one isn't correct

We don't want to multiply so the third one isn't correct

This leaves us with our last option which is correct.

Answer:

12

Step-by-step explanation:

-3(b - 5) + 7a - (9 - a) ^6                   a = 7 and b = -4

-3(-4 - 5) + 7(7) - (9 - 7)^6

= -3(-9) + 49 - (2)^6

= 27 + 49 - (64)

= 27 + 49 - 64

= 76 - 64

= 12      

24a-6x=2(12a-3x)

 =2*3(4a-x)

 =6(4a-x)

A type of plot shows the median and the data spread about the median is called a boxplot.

A box-and-whiskers plot, also referred to as a boxplot, presents a summarized information such as the median, quartiles, minimum, and maximum values.

It indicates the measure of skewness of a distribution data or how the values are spread out.

It is made up of a box, which lies between the first and third quartiles with the whiskers as line segments extending from the ends of the box to the smallest and largest values that are not outliers.

Attached photo is a figure that illustrates a boxplot.

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Answer:

It would take Jonathon 2 hours to arrive at his grandmothers house.

Step-by-step explanation:

If he's driving at 50 miles per hour, it would take him 2 hours to drive 100 miles.

\(( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} ) \div ( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )\)

First, solve the brackets.

First bracket:

\(( \frac{2}{3} - \frac{3}{4} \times \frac{1}{8} )\)

\( = \frac{55}{96} \)

Second bracket:

\(( \frac{2}{3} - \frac{3}{4} + \frac{5}{8} )\)

\( = \frac{13}{24} \)

Then divide.

\( \frac{55}{96} \div \frac{13}{24} \)

\( = \frac{55}{52} \: or \: 1\frac{3}{52} \)

answer:

as improper fraction= 55/52

as mixed fraction= 1 3/52

hope this helps