21 2/3 divided 3 1/4

The appropriate alternative hypothesis is the opposite of null hypothesis that there is a difference in mean SSHA scores between men and women.

The alternative hypothesis is the opposite of the null hypothesis, which is typically stated as there being no difference between the two groups. In this example, the null hypothesis is that there is no difference in mean SSHA scores between men and women. The alternative hypothesis is then that there is a difference in mean SSHA scores between men and women. This can be stated as "There is a difference in mean SSHA scores between men and women". This is the appropriate alternative hypothesis for this test of significance.

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The given expression can be simplified using trigonometric identities. By using the identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we get:

cos(pi/4-x) = cos(pi/4)cos(x) + sin(pi/4)sin(x)

Substituting the given values of cos(x) and sin(x), we get:

cos(pi/4-x) = (1/sqrt(2))(-1/2) + (1/sqrt(2))(sqrt(3)/2)

Simplifying this expression, we get:

cos(pi/4-x) = -sqrt(2)/4 + sqrt(6)/4

The given expression involves the cosine of the difference between two angles. By using the identity cos(a-b) = cos(a)cos(b) + sin(a)sin(b), we can simplify the expression in terms of the cosine and sine of the individual angles. We are given the value of cos(x) and we can use the identity sin^2(x) + cos^2(x) = 1 to find the value of sin(x). Once we have the values of sin(x) and cos(x), we can substitute them in the above identity to get the simplified expression.

In this particular problem, we are given the value of cos(x) and the fact that x is in the second quadrant, which implies that sin(x) is positive. Using these values, we can simplify the expression to get the final answer. It is important to note that the answer is requested in exact form as a fraction, and not as a decimal approximation.

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Answer:

D

Step-by-step explanation: Slope intercept form meaning y= mx+b. mx= the slop and b=y intercept. Simply take the two points and subtract them to get the slope. Use the slope to find the y intercept.

We can start by using the given information to set up a differential equation for the rate of change of water in the tank.

Letting dy/dt be the rate of change of water in the tank, we have:

dy/dt = k/y

where k is some constant of proportionality.

We can solve this differential equation using separation of variables:

dy/y = k dt

Integrating both sides, we get:

ln|y| = kt + C

where C is an arbitrary constant of integration.

Solving for y, we get:

y = Ce^(kt)

where C = y(0) is the initial amount of water in the tank.

Using the given information, we can find k and C:

y(0) = 5, y(3) = 10

Substituting t = 0 and t = 3 into the equation y = Ce^(kt), we get:

5 = Ce^(k*0) = C

10 = Ce^(3k)

Dividing the second equation by the first, we get:

2 = e^(3k)

Taking the natural logarithm of both sides, we get:

ln(2) = 3k

k = ln(2)/3

Substituting this value of k into the equation y = Ce^(kt), we get:

y = 5e^(ln(2)t/3)

At t = 18, we have:

y = 5e^(ln(2)*18/3)

y ≈ 88.3

Therefore, there are approximately 88.3 gallons of water in the tank at t = 18 minutes.

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The correct option regarding whether the set of pairs represent an exponential function is given by:

4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

An exponential function is modeled by:

\(y = ab^x\)

In which:

From this we have that when the input x is increased by a constant amount, the y values are multiplied by a constant amount.

For the set of ordered pairs given in this problem, this is what happens, as when x is changed by 1, y is multiplied by 3, hence the correct option is given by:

4. Exponential function. As the x-values are increased by a constant amount, the y-values are multiplied by a constant amount.

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1. The first measurement is 15.708

2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.

The diameter is . . .

d = 2r

d = 2 × 5inch

d = 10 inch

The radius is . . .

r = 5 inch

The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!

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Answer:

pq⁴r⁴ is the answer for this question

A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.

In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.

Types of errors in hypothesis testing

There are two types of errors in hypothesis testing:

Type I error: Rejecting a true null hypothesis

Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.

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Answer:

a = 60

b = 120

c = 120

Step-by-step explanation:

A has the same angle as 60 degrees

To find b

60 + b = 180

b = 120

C has the same angle as b

So c = 120

I know I'm bad at explaining.

Answer:

6 * k2

Step-by-step explanation:

Answer:

780

Step-by-step explanation:

divide 4 from 3120 to find how many pop-its are made per hour/ unit rate

Divide the sides of the equation by -3/5 :

-3/5 ÷ -3/5 x = 6 ÷ -3/5

1 x = 6 × -5/3

x = -30/3

x = -10

and we're done.

good luck buddy ♥️♥️♥️♥️♥️.

Answer:

25%

Step-by-step explanation:

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15y - 9 < 36

add 9 to both-side of the equation

15y < 36 + 9

15y < 45

Divide both-side of the equation by 15

y < 3

Answer:

P= 40 ft

Step-by-step explanation:

Perimeter is the sum of all the lengths

So,

Perimeter= 6+4+15+10ft

= 35ft

Nearest ten can be 40ft or 30ft

If you succeed In understanding then kindly mark my answer the brainliest. Thank you :)

you have a 12.5% probability chance of catching the beginning of the commercial even if you miss 30 minutes of the game.

The probability of being able to see the beginning of the commercial if you missed 30 minutes of the game is 12.5%. This is calculated by taking the total time of the commercial (210 minutes) and subtracting the time you will miss (30 minutes). This leaves a total of 180 minutes available to view the commercial. To calculate the probability, divide the time available to view the commercial (180 minutes) by the total time of the commercial (210 minutes). This gives you a probability of

12.5% (180/210 = 0.857 = 12.5%).

the probability that you will be able to see the beginning of the commercial if you miss 30 minutes of the game is quite low, but still possible. To calculate the probability, you need to take the total time of the commercial (210 minutes) and subtract the time you will miss (30 minutes). This leaves a total of 180 minutes available to view the commercial. To calculate the probability, divide the time available to view the commercial (180 minutes) by the total time of the commercial (210 minutes). This gives you a probability of 12.5%.

This probability is quite low, but it is still possible that you could see the beginning of the commercial if you miss 30 minutes of the game. This is because it is possible that the commercial could be played at any point in the remaining 180 minutes, and there is still a chance that it could be played in the first 30 minutes that you miss. Therefore, you have a 12.5% chance of catching the beginning of the commercial even if you miss 30 minutes of the game.

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The correct order of the segments from least to greatest rate of increase in water level is

A - B - C

So we would drag segment A to the first box, segment B to the second box, and segment C to the third box.

To determine the order of the segments from least to greatest rate of increase in water level, we need to look at the slope of each segment. The slope represents the rate of change of the water level over time.

A steeper slope indicates a faster rate of increase in the water level, while a shallower slope indicates a slower rate of increase.

From the graph, we can see that

Segment A has a relatively shallow slope, indicating a slower rate of increase in water level.

Segment B has a steeper slope than segment A, indicating a faster rate of increase in water level.

Segment C has the steepest slope of all, indicating the fastest rate of increase in water level.

Therefore, the correct order of the segments from least to greatest rate of increase in water level is

A - B - C

So we would drag segment A to the first box, segment B to the second box, and segment C to the third box.

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Yes, his pulse rate is in the normal range for children. His pulse rate was calculated to be 120 beats per minute, which falls within the range of 60-100 beats per minute.

The student took his resting pulse rate by counting the number of beats in 20 seconds. He then multiplied his result by three to calculate his pulse rate for a minute. To determine if his pulse rate was within the normal range for children, he compared his result to the data shown in the table. His pulse rate of 120 beats per minute was within the range of 60-100 beats per minute, so it was considered to be normal for children. To ensure accuracy, the student could have taken his pulse rate for a longer period of time, such as 30 or 60 seconds, before calculating his pulse rate for a minute. This would have given him a more accurate result.

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Answer:

y=8x+4

Step-by-step explanation:

I am assuming you are asking for an equation.

Total cost = $8*(number of people) + $4

Answer:

8.6 which is closes to c=8.5

Step-by-step explanation:

*See Photo*

The distance between Mr. Chew and Puppy is 8.54 miles. Therefore, option C is the correct answer.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, the puppy runs in straight lines 5 miles west of Mr. Chew and then 7 miles north.

Let the distance between Mr. Chew and Puppy be x

Using Pythagoras theorem, we get

x²=5²+7²

x²=74

x=√74

x= 8.54 miles

Therefore, option C is the correct answer.

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We will solve as follows:

*We will have that the following function models the perimeter of the rectangle:

Here l is the length and w is the width. Now, we replace l and solve for w:

So, the width is 14 ft.

Answer:

0.18

Step-by-step explanation:

The two polygons are similar using the SAS criteria.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end. A polygon's line segments are therefore referred to as its sides or edges. The vertex or corners made by two line segments are where an angle is created. A triangle with three sides is an illustration of a polygon. A circle is a planar figure as well, but since it is curved and lacks sides and angles, it is not regarded as a polygon. Hence, we may argue that while all two-dimensional forms are polygons, not all two-dimensional figures are polygons.

For the given polygons we find the scale factor to determine whether the two figures are similar.

The scale factor is given as:

SF = length of original/ length of new image

SF = 4 / 6

SF = 2/3

For the second segment:

SF = 6/9

SF = 2/3

The ratios of the segment are same. Also the angle between the corresponding segments is 86 degrees.

Hence, the two polygons are similar using the SAS criteria.

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It's proven that \(m \angle COD=72\)° using the Vertical Angle Theorem and property of linear pairs.

What is Vertical Angle Theorem?

Here, it is given that  \(m \angle AOB=42\)° and  \(m \angle EOF=66\)°

Using the Vertical Angle Theorem, we know that \(\angle BOC\) is congruent to \(\angle EOF\)

\(\implies m\angle BOC =m \angle EOF = 66\)°

And, using the property of adjacent angle, we get

\(m\angle AOC =m \angle AOB + m \angle BOC\\\implies m\angle AOC = 42 + 66\\\)

\(\implies m\angle AOC =108\)°

Now, using the property of linear pair (supplementary angles), we get

\(m \angle AOC + m \angle COD = 180\)°

\(\implies 108+ m \angle COD = 180\\ \implies m \angle COD = 180 - 108\)

\(\implies m \angle COD =72\)°

Therefore, it is proven that  \(m \angle COD=72\)° using linear pair property and the Vertical Angle Theorem

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f′(x) is positive on the intervals (−3,−1.5) and (0,1.5) and negative on the intervals (−1.5,0) and (1.5,3).

1. The derivative of f(x)=3x2+2x is:

f(x)=limh→0[3(x+h)2+2(x+h−(3x2+2x)]/h

    =limh→0[3x2+6xh+3h2+2x+2h−3x2−2x]/h

    =limh→0[6xh+3h2+2h]/h

    =limh→0[6x+3h+2]

Using the limit definition of the derivative function:

f′(x)=6x+2.2.

Let's consider the given graph of f below:

From the given graph of f, we can see that f′(x) is positive from x=−3 to x=−1.5 because the slope of f is increasing.

Then f′(x) is negative from x=−1.5 to x=0 because the slope of f is decreasing.

Next, f′(x) is positive from x=0 to x=1.5 because the slope of f is increasing again.

Then f′(x) is negative from x=1.5 to x=3 because the slope of f is decreasing.

Also, we can see that the slope of f is 0 at x=−2, x=−1, x=1, and x=2, so f′(x) has zeros at these points.

we have highlighted in green the intervals where f′(x) is positive and in red the intervals where f′(x) is negative.

We have also highlighted in blue the points where f′(x) has a zero.

As we can see, f′(x) is positive on the intervals (−3,−1.5) and (0,1.5) and negative on the intervals (−1.5,0) and (1.5,3).

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The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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Answer:

Step-by-step explanation:

Function given

Each game costs $0.5 so 10 games cost 10*0.5 = $5

Therefore when 10 games downloaded, no money is left on the card.

Correct choice is: B

Answer:

5

Step-by-step explanation:

-9-(-9)+5=5

Step-by-step explanation:

Exponential function is

\(y = a \times {b}^{x} \)

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

\(y = 8 \times {b}^{x} \)

Now, plug in 9 for x. 512 for y to find b.

\(512 = 8 \times {b}^{9} \)

\(64 = {b}^{9} \)

\( \sqrt[9]{64} = b\)

\(64 {}^{ \frac{1}{9} } = b\)

\(4 {}^{ \frac{1}{3} } = b\)

\( \sqrt[3]{4} = b\)

So the equation is

\(y = 8( \sqrt[3]{4} ) {}^{x} \)

The other vertices of the square will be at (-7 ,3)

A square is a polygon with four sides , four vertices and four angles .

The opposite sides are parallel and all sides are equal .

It is given that

The vertices of a square are at

(-4,0), (-7,0),(-4,3)

On Plotting the vertices we can see that to obtain a square , the other vertices will be at (-7 ,3)

It can be understood from the figure.

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