If you answer this question then you can might add me as a friend

Answer:

The answer to your problem is -10

Answer:

maybe, probably 20mph

Step-by-step explanation:

The average rate of change is equal to 10 miles per hour.

It is the average amount by which the function changed per unit throughout that time period. It is calculated using the slope of the line linking the interval's ends on the graph of the function.

Given that the function is changing from point (30,2) to (20,1). The average rate of the change will be calculated as,

The average rate of change = ( 30 - 20) / ( 2 - 1)

Average rate of change = 10 miles per hour

Therefore, the average rate of change is equal to 10 miles per hour.

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To find ∂z/∂u when u = -2, v = -3, and w = 0, we substitute the given values into the expression and differentiate.

We start by substituting the given values into the expressions for x and y: x = (-2v⁴) + w³ and y = -2 + (-3e⁰) = -2 - 3 = -5.

Next, we substitute these values into the expression for z: z = x⁴ + xy³ = ((-2v⁴) + w³)⁴ + ((-2v⁴) + w³)(-5)³. Now we differentiate z with respect to u: ∂z/∂u = ∂z/∂x * ∂x/∂u + ∂z/∂y * ∂y/∂u. Taking partial derivatives, we find ∂z/∂u = 4((-2v⁴) + w³)³ * (-2v³) + (-5)³ * (-2v⁴ + w³).

Plugging in the values u = -2, v = -3, and w = 0, we can calculate the final result for ∂z/∂u.

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Answer:

Step-by-step explanation:

Let M be the number of men donors and W the number of women donors.

We are told that M + W => 217  {"They noticed on Saturday that more than 217 people donated money."]

The total donations of no more than $3,702 consists of Men:  ($16)M and Women:  ($18)W

This makes the following equation:

18W + 16M <= 3702  ["no more than $3,702 was donated"]

The two equations are:

18W + 16M <= 3702, and

M + W => 217

=====

Extra credit:

To find the number of men and women donors, let's assume the equations are correct without the inequality signs.

Rearrange:

M + W => 217

M = 217-W

Now use this definition of M in the second equation:

18W + 16(217-W) = 3702

'

Solve for W:  W = 115:  There were 115 women donors at $18 each:  $207.

That means 217 - 115 or 102 men at $16 each:  &1632

Total donations of $3702

Answer:

D1×D2/2sq

445×5= 225

225/2

=112.5

Answer:

5.7 x 10^5

Step-by-step explanation:

The vector representing the speed and direction of the motorboat is approximately 20.22 mph at an angle of 8.53 degrees with respect to the original direction of the boat.

To find the vector representing the speed and direction of the motorboat, we need to use vector addition. Let the velocity of the boat in still water be Vb and the velocity of the current be Vc. Then, the resulting velocity of the boat relative to the ground is Vr = Vb + Vc.
Since the boat is heading directly across the river, the velocity of the current is perpendicular to the direction of the boat. This means that we can use the Pythagorean theorem to find the magnitude of Vr:
|Vr|^2 = |Vb|^2 + |Vc|^2
|Vr|^2 = (20 mph)^2 + (3 mph)^2
|Vr|^2 = 409
|Vr| ≈ 20.22 mph
To find the direction of Vr, we can use trigonometry. Let θ be the angle between Vr and Vb. Then:
tan(θ) = |Vc| / |Vb|
tan(θ) = 3 / 20
θ ≈ 8.53 degrees

The true speed of the motorboat is simply the magnitude of Vb:  |Vb| = 20 mph

To find the vector representing the speed and direction of the motorboat, we need to consider both the motorboat's speed in still water and the river current's speed.
Step 1: Identify the motorboat's speed in still water (20 mph) and the river current's speed (3 mph).
Step 2: Represent the motorboat's speed as a vector. Since it is heading directly across the river, we can represent it as a horizontal vector: V_motorboat = <20, 0>.
Step 3: Represent the river current's speed as a vector. The current flows perpendicular to the motorboat's direction, so we can represent it as a vertical vector: V_current = <0, 3>.
Step 4: Add the motorboat's vector and the current's vector to find the resultant vector, which represents the true speed and direction of the motorboat: V_resultant = V_motorboat + V_current = <20, 0> + <0, 3> = <20, 3>.
Now we have the vector representing the speed and direction of the motorboat: <20, 3>.
To find the true speed, calculate the magnitude of the resultant vector: True speed = sqrt(20^2 + 3^2) = sqrt(400 + 9) = sqrt(409) ≈ 20.22 mph.
To find the direction, calculate the angle (θ) between the resultant vecor and the x-axis using the tangent function: tan(θ) = (3/20)
θ = arctan(3/20) ≈ 8.53 degrees.
The true speed of the motorboat is approximately 20.22 mph, and its direction is approximately 8.53 degrees from the direct path across the river.

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The success rates of the three treatments in preventing cardiac events are approximately 90.91% for the stress management program, 79.41% for the exercise program, and 70% for usual heart care.

a. Two-way table:
| Treatment | Cardiac Events | No Cardiac Events |
|-----------|-----------------|----------------------|
| Stress Management | 3 | 30 |
| Exercise | 7 | 27 |
| Usual Care | 12 | 28 |
b. The success rates of the three treatments in preventing cardiac events can be calculated as the percentage of people in each group who did not experience a cardiac event.
- Stress management: 90.9% success rate (30/33)
- Exercise: 79.4% success rate (27/34)
- Usual care: 70% success rate (28/40)
Therefore, the stress management program had the highest success rate in preventing cardiac events, followed by the exercise program and then usual care.

Stress management and its impact on reducing heart attacks. Let's analyze the study results and create a two-way table, as well as calculate the success rates of the three treatments in preventing cardiac events.
a. Two-way table:
| Treatment          | Cardiac Events | No Cardiac Events | Total |
|--------------------|----------------|-------------------|-------|
| Stress Management  | 3              | 30                | 33    |
| Exercise Program   | 7              | 27                | 34    |
| Usual Heart Care   | 12             | 28                | 40    |
| Total              | 22             | 85                | 107   |
b. Success rates of the three treatments in preventing cardiac events:
1. Stress Management:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (30 / 33) * 100
Success rate ≈ 90.91%
2. Exercise Program:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (27 / 34) * 100
Success rate ≈ 79.41%
3. Usual Heart Care:
Success rate = (No Cardiac Events / Total) * 100
Success rate = (28 / 40) * 100
Success rate = 70%

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Answer: 3) cos 46 degrees

Step-by-step explanation:

Answer:

Hey!

Your answer should be

Step-by-step explanation:

To find the BASE: 8 x 4 = 32cm^2

To find the angled TOP FACE: 10 x 4 = 40 cm^2

To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2

To find the REAR FACE: 6 x 4 = 24 cm^2

TOTAL: 32 + 40 + 48 + 24

SUFACE AREA: 144cm^2

Hope this helps!

Answer:

192 cm ^3

Step-by-step explanation:

find area of cross section x depth

6 times 8 is 48

depth is 4

48 x 4 is 192

The slope-intercept equation of the function f is y = -8.

The equation x = -13 represents a vertical line parallel to the y-axis.

The slope of a vertical line is undefined.

Since the graph of f is perpendicular to the line x = -13, the slope of f will be the negative reciprocal of the undefined slope of the line x = -13.

The negative reciprocal of an undefined slope is 0.

We know that f passes through the point (-7, -8).

Using the point-slope form of a linear equation, we can write the equation as:

y - y1 = m(x - x1),

where (x1, y1) is the given point and m is the slope.

Substituting the values, we have:

y - (-8) = 0(x - (-7)),

y + 8 = 0(x + 7),

y + 8 = 0,

y = -8.

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Answer:

a₁ = -27

a₂ = -32

a₃ = -37

a₄ = -42

a₅ = -47

a₅₂ = -282

Step-by-step explanation:

An explicit formula for an arithmetic sequence allows you to find the nth term of the sequence.

Given explicit formula:

\(a_n=-5n-22\)

To find the first 5 terms, substitute n = 1 through 5 into the given formula:

\(\begin{aligned}\implies a_1&=-5(1)-22\\&=-5-22\\&=-27\end{aligned}\)

\(\begin{aligned}\implies a_2&=-5(2)-22\\&=-10-22\\&=-32\end{aligned}\)

\(\begin{aligned}\implies a_3&=-5(3)-22\\&=-15-22\\&=-37\end{aligned}\)

\(\begin{aligned}\implies a_4&=-5(4)-22\\&=-20-22\\&=-42\end{aligned}\)

\(\begin{aligned}\implies a_5&=-5(5)-22\\&=-25-22\\&=-47\end{aligned}\)

To find the 52nd term, substitute n = 52 into the given formula:

\(\begin{aligned}\implies a_{52}&=-5(52)-22\\&=-260-22\\&=-282\end{aligned}\)

Answer:  Distance

4

Midpoint

(−1,−9)

Slope

0

x intercept

−Inf∈ity

y intercept

−9.00

Step-by-step explanation:

The time the football is 50 feet above the ground at t = 0.765s and t = 3.923 s

Time is the duration of an event.

Since a football player kicks a football 2 feet above the ground with an upward velocity of 75 feet per second. The function h(t) = -16t² + 75t + 2 gives the height h (in feet) of the football after t second.

To determine when the ball will be 50 feet above the ground, we substitute h(t) = 50 and solve the equation.

So, h(t) = -16t² + 75t + 2

-16t² + 75t + 2 = 50

-16t² + 75t + 2 - 50 = 0

-16t² + 75t - 48 = 0

Dividing through by -1, we have

16t² - 75t + 48 = 0

Using the quadratic formula, we find t

\(t = \frac{-b+/- \sqrt{b^{2} -4ac} }{2a}\)

where

So, substituting the values of the variables into the equation, we have

\(t = \frac{-(-75)+/- \sqrt{(-75)^{2} -4\times16\times48} }{2\times16}\\ = \frac{75+/- \sqrt{5625 - 3072} }{32}\\= \frac{75+/- \sqrt{2553} }{32}\\= \frac{75+/- 50.53 }{32}\\t = \frac{75 + 50.53 }{32} or t = \frac{75 - 50.53 }{32}\\t = \frac{125.53}{32} or t = \frac{24.47}{32}\\t = 3.923 s or t = 0.765s\)

So, the football is 50 feet above the ground at t = 0.765s and t = 3.923 s

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Answer:

step 2

Step-by-step explanation:

Gary didn't multiply the 2.5 and 4 correctly. The product isn't 8, it is 10.

When the smaller data point is included, the mean will drop when compared to the other values, but the median may increase or decrease depending on whether the collection of numbers is even or odd.

1. Calculate the original set of numbers' mean and median.

2. Include the lesser data point in the collection.

3. Determine the updated median and mean.

4. Evaluate the original mean and median in comparison to the new mean and median. Depending on whether the collection of numbers is even or odd, the median will decline while the mean will increase.

We must first determine the mean and median of the initial set of data in order to evaluate how the addition of a smaller data point will impact those values. Adding together all the values and dividing by the total number of values yields the mean. We place the middle value in the set of integers after sorting them from least to largest to determine the median. We include the new, smaller data point in the set after finding the mean and median. We next perform the same calculations as previously to determine the new mean and median. Finally, we contrast the updated mean and median with the baseline values. The median may stay the same or drop depending on whether the set of numbers is even or odd, while the mean often decreases as it is compared to other values. The mean and median of a set of numbers can therefore be significantly affected by the addition of a tiny data point.

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The complete question is

how do you know how adding a smaller data point will affect the mean or median if its smaller than them other value.

Therefore , the solution of the given equation problem comes out to

be 8.

An equation must always have two members that are equal, as well as one or more members (the unknown variables) whose value is unknown. What number, for instance, multiplies to 16 when multiplied by itself? The equation: can be used to express this mathematical issue in mathematical expression.

Here,

In the given quadratic equation, replace -3 with:

(-3)² - 5(-3) + c = 0

calculating c:

c = -24

the following quadratic equation

x² - 5x - 24 = 0

utilizing the quadratic formula to find the value of x:

x = [-b ±√(b² - 4(a)(c))]/2a

x = [-(-5) ± √((-5)² - 4(1)(-24))] /2(1)

x = 8, -3

thus, 8 is the alternate answer.

Therefore , the solution of the given equation problem comes out to be 8.

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Answer:

i don get it

Step-by-step explanation:

i stil don get it

Answer: 92

Step-by-step explanation:

Observe that the probability is symmetric around \(45^{\circ}\).

If \(0^{\circ} < x < 45^{\circ}\), then \(\cos^2 x > \cos x > \sin x\). By the triangle inequality, it follows that \(\cos^2 x > \sin^2 x+\sin x \cos x\).

We can now rearrange as follows:

\(\cos^2 x > \sin^2 x+\sin x \cos x\\\\\cos^2 x -\sin^2 x > \sin x \cos x\\\\\cos 2x > \frac{1}{2}\sin 2x\)

Since \(\cos 2x\) and \(\sin 2x\) are both positive for the chosen interval,

\(2 > \tan x \implies x < \frac{1}{2}\arctan 2\).

Therefore, the probability is \(\frac{\frac{1}{2} \arctan 2}{45}=\frac{\arctan 2}{90}\).

This means, \(m=2, n=90 \implies m+n=92\).

The size of the F-ratio value would increase as the numerator of the F-ratio (MS Between) increased and The size of the F-ratio value would increase as the numerator of the F-ratio (MSBetween) increased.

Given that,

The F ratio can be defined as,

F =Mean Sum of Squares of between treatments / Mean Sum of Squares of within treatments

F =MS Between /MS within

Increase the difference between the sample means.

As the difference between the sample means increases, between treatments has larger effect

(MS known ) . This affects the numerator of F-ratio.

Hence, As numerator of F-ratio ( MS Between ) increases, the size of the F-ratio value would increase.

Increase the size of sample variances.

As the size of sample variance increases, with treatments has larger effect ( MS within ). This

affects the denominator of F-ratio.

Hence, As the denominator of F-ratio (MS Within ) increases. The size of F-ratio will decrease.

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Answer:

10,000

Step-by-step explanation:

the 4 means to multiply the 10 4 times.

Answer:

10,000

Step-by-step explanation:

Answer:

27 degrees

Step-by-step explanation:

SinY = 5/11

Sin^-1(5/11) = y

y = 27.03

to the nearest degree is 27

The probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We can use the central limit theorem to approximate the distribution of the sample mean. According to the central limit theorem, if the sample size is sufficiently large, the distribution of the sample mean will be approximately normal with a mean of 30,641 and a standard deviation of sqrt(variance/sample size).

So, we have:

mean = 30,641

variance = 14,561,860

sample size = 242

standard deviation = sqrt(variance/sample size) = sqrt(14,561,860/242) = 635.14

Now, we need to calculate the z-score corresponding to a sample mean of 31,358 miles:

z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

= (31,358 - 30,641) / (635.14 / sqrt(242))

= 2.43

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than 2.43. The probability is approximately 0.9925.

Therefore, the probability that the sample mean would be less than 31,358 miles in a sample of 242 tires if the manager is correct is 0.9925 (or 99.25%).

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Answer:

Step-by-step explanation:

\(5 ^{2x} = 3(2^{x} )\)

\(x=\frac{\ln \left(3\right)}{2\ln \left(5\right)-\ln \left(2\right)}\quad \mathrm{ }:\quad x=0.43496 \right)\)

Answer:

5) 48

6) 60

Step-by-step explanation:

1. biased

2.unbiased

2. biased prisoners should be treated equally and the system is messed up

Answer:

The Amount amount he pays each month is 298

Step-by-step explanation:

Given:

Total amount of new car (including interest) = 17,880

Payment is splited over 60 months i.e time = 60 months

Required:

How much will be paid each month

To find the amount to be paid each month use the formula:

Monthly payment = Total amount / time

\( = \frac{17880}{60} = 298 \)

Therefore, the amount William pays each month is 298

Answer: **Incomplete question**

Step-by-step explanation: Your question is incomplete, and missing very important details. However I would attempt to use assumed values in place of the omitted ones so that after explaining, it would be pretty much easy to figure out the solution.

If Rahul was given a total of 32 questions and he has worked out for example 25% of them on Monday and then 50% of them on Tuesday, to find the number  of problems left, we would need to find the number of questions represented by the percentage indicated.

If he has worked out 25% of them on Monday, then that means he had done the following

Percentage done = 25% (or 25/100 which equals 0.25)

Number of problems solved = 32 * 25%

Number of problems solved = 32 * 0.25

Number of problems solved = 8

Further he solved 50% of them on Tuesday

Percentage done = 50% (or 50/100 which equals 0.50)

Number of problems solved = 32 * 50%

Number of problems solved = 32 * 0.5

Number of problems solved = 16

This means he has now solved a total of

8 + 16 = 24

If therefore he has solved 24 problems, then the number of problems left is derived simply as

Unsolved problems = 32 - 24

Unsolved problems = 8

Please remember that the use of 25% and 50% are simply assumptions in order to make explaining the solution easier. Please insert the correct values  of the percentage as appropriate.

=====================================================

Explanation:

Use the zero product property. This is the idea where if A*B = 0, then either A = 0 or B = 0.

This works because 0 times any number is always 0.

In this case A = x-2 and B = x-3

So,

(x-2)(x-3) = 0

x-2 = 0 or x-3 = 0

x = 2 or x = 3

------------------

If we plugged x = 2 back into the original equation, we get

(x-2)(x-3) = 0

(2-2)(2-3) = 0

(0)(-1) = 0

0 = 0

Which confirms x = 2

Let's do the same for x = 3

(x-2)(x-3) = 0

(3-2)(3-3) = 0

(1)(0) = 0

0 = 0

So x = 3 is confirmed as well.

There were 385 children and 47 adult.

We have,

The daily prices are $1.50 for children and $2.25 for adults.

let the number of children be x and number of adult be y.

So, x + y = 432

and 1.5x + 2.25y = 683.25

Solving the above equation we get

x= 385 and y = 47.

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