Clinton and Stacy want to buy a trampoline for their kids. They are considering two trampolines.

Trampoline A has a diameter of 14 feet.
Trampoline B has a diameter of 20 feet.
Approximately how much greater, in square feet and rounded to the nearest hundredth, is the area of Trampoline B than the area of Trampoline A?
Use 3.14 for π .

Answer:

2688

Step-by-step explanation:

3mt

m = 56

t = 16

(3)(56)(16) = 2688

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

\(5\sqrt{10}\) when simplified and added this is what i got and when redone too over check i got it again hopefully this helps.

Answer:

A. Angle bisectors are a line that goes through an angle dividing it into 2 equal angles that are consecutive.

B. The 2 angles BAC and CAD when added together is the same as angle BAD.

Step-by-step explanation:

Answer:

It is 0 the negatives cancel out

Step-by-step explanation:

To find the hourly wage of these automobile plant workers in 3 more years, we need to use the formula for exponential growth. The hourly wage of the automobile plant workers in 3 more years will be approximately $14.93.

A = P(1 + r)^t

Where A is the final amount, P is the initial amount, r is the growth rate, and t is the time period.

In this case, the initial amount is $7.60, the final amount is $12.84, and the time period is 9 years. To find the growth rate, we can use the formula:

r = (ln(A/P))/t

Where ln is the natural logarithm. Plugging in the values, we get:

r = (ln(12.84/7.60))/9
r = 0.0778

So the growth rate is approximately 0.0778 per year. Now we can use the formula again to find the hourly wage in 3 more years:

A = 7.60(1 + 0.0778)^12
A = $20.53

Therefore, the hourly wage of these automobile plant workers will be approximately $20.53 in 3 more years if their wages continue to grow exponentially at the same rate.

To calculate the hourly wage of the automobile plant workers in 3 more years, we need to follow these steps:

Step 1: Determine the initial wage (W0) and the final wage after 9 years (W9)
W0 = $7.60
W9 = $12.84

Step 2: Calculate the annual growth rate (r)

We know that the exponential growth formula is W = W0 * (1 + r)^t, where W is the final wage, t is the time in years, and r is the annual growth rate. We'll solve for r:
$12.84 = $7.60 * (1 + r)^9

Step 3: Solve for r
(1 + r)^9 = $12.84 / $7.60
(1 + r)^9 = 1.68947
Take the 9th root of both sides:
1 + r = (1.68947)^(1/9)
1 + r = 1.06569
Now, subtract 1 from both sides:
r = 0.06569, or 6.569% annual growth rate

Step 4: Calculate the wage in 3 more years (W12)
Now we can use the exponential growth formula to find the wage in 12 years (W12):
W12 = W0 * (1 + r)^t
W12 = $7.60 * (1 + 0.06569)^12
W12 ≈ $14.93

So, the hourly wage of the automobile plant workers in 3 more years will be approximately $14.93.

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Answer:

Do a quick conversion: 1 dimes = 0.1 dollars using the online calculator for metric conversions. Check the chart for more details. ... Convert dime to dollar - Conversion of Measurement Units ... 30 dime to dollar = 3 dollar. 40 dime to ... You can do the reverse unit conversion from dollar to dime, or enter any two units below: ...

Step-by-step explanation:

Not an answer but an explanation. Hope this helped :)

Let's start graphing the first inequality y > 3x - 4. Since this is already in its slope-intercept form, we can see right away that the y-intercept of its boundary line is at (0, -4) and the slope is 3.

Aside from the y-intercept, let's find another point on the line using the slope. We will add 3 on the y-coordinate of the y-intercept and add 1 on the x-coordinate.

Hence, we have another point on the boundary line at (1, -1).

Let's plot these two points (0, -4) and (1, -1) and connect them using a dashed line since the inequality is "greater than". Also, the shade of the graph will be above the line.

The graph of the first inequality y > 3x - 4 is:

Moving on to the second inequality y ≤ x + 1, the y-intercept is at (0, 1) and the slope is 1.

Let's find another point on the line using the slope by adding 1 on the y-coordinate of the y-intercept and 1 on the x-coordinate.

Therefore, we have another point on the line at (1, 2).

Let's plot these points (0, 1) and (1, 2) on the graph. Connect them using a solid line because the inequality symbol has "or equal to". The shade of the graph will be below the line since the inequality symbol is "less than".

The graph of the second inequality y ≤ x + 1 is:

Combining the two graphs, we have:

The solution to the two inequalities would be the common shaded region, hence, in the diagram, it will be the darker shade.

Based on the given choices, this is shown by Option D.

The radius of the circle O is R = 2.82 centimeters.

If we have a circle of radius R, and we dilate it by a scale factor k, the new radius is:

k*R

And we know that the area of a circle of radius R is:

A = pi*R²

Where pi = 3.14

If the radius of circle O is R, we know that O' is a dilation of scale factor 3, then the new radius is 3R

And we know tha tthe area of O' is:

A' = 225 cm² = 3.14*(3R)²

Now we can solve that to get the value of R.

3R=  √( (225 cm²)/3.14)

3R = 8.46 cm

R = 8.46cm/3

R = 2.82cm

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

(0,-3) because its the coordinate

Answer:

Step-by-step explanation:

Please post a picture of the triangle and the choices.

The  average rate of change = \frac{Δy}{Δx} and the average rate of change = \frac{y_{2}-y_{1}  }{2}

To find the average rate of change of y with respect to x on the interval from x = −3 to x = −1, we need to use the following formula:

\(average rate of change = \frac{change  in  y }{change  in  x}\)

In this case, the change in x is:

Δx = (-1) - (-3) = 2

To find the change in y, we need to evaluate the function at x = −3 and x = −1, and then subtract the two values:

f(−3) = y1
f(−1) = y2

Therefore, the change in y is:

Δy = y2 - y1

Now we can plug in the values and calculate the average rate of change:

average rate of change = \(\frac{Δy}{Δx}\)
average rate of change = \(\frac{y_{2}-y_{1}  }{2}\)

Note: We cannot provide a numerical answer without knowing the function f(x) or the values of y1 and y2.

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The size of the difference between two individuals can be obtained by measuring them on an interval scale, which is not possible on an ordinal scale.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The additional information obtained by measuring two individuals on an interval scale compared to an ordinal scale is (b) the size of the difference.

An ordinal scale is a type of measurement scale where the data is ranked in a specific order or sequence, but the distance between the values is not meaningful or uniform. For example, a person's rank in a race (1st, 2nd, 3rd, etc.) is an example of data that can be measured on an ordinal scale.

On the other hand, an interval scale is a type of measurement scale where the data is measured on a uniform scale, and the distance between the values is meaningful and uniform. For example, measuring temperature on the Celsius or Fahrenheit scale is an example of data that can be measured on an interval scale.

When two individuals are measured on an interval scale, the difference between their measurements is meaningful and can be compared quantitatively. This is not possible on an ordinal scale, where we can only determine whether one value is greater or less than another, but we cannot determine the actual difference between them.

Therefore, the size of the difference between two individuals can be obtained by measuring them on an interval scale, which is not possible on an ordinal scale.

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The regression line equation, can be found to be y = 0.90x - 3.79

Find the slope using the slope formula :

m = ( 5 x 1944 - 98 x 69 ) / ( 5 x 2580 - 98² )

m = ( 9720 - 6762 ) / ( 12900 - 9604 )

m = 2958 / 3296

=  0.8975

Then find the y - intercept :

b = ( 69 - 0. 8975 x 98) / 5

b = ( 69 - 87. 945) / 5

b = - 18. 945 / 5

= - 3.789

The regression equation is:

y = 0.90x - 3.79

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1/3,840

The probability of plotting 3 samples in a row in Zone A on the Albertson Manufacturing control chart is 1/3,840. This can be calculated by taking the total number of possible outcomes (20 x 20 x 20) and dividing it by the number of outcomes that result in 3 samples in a row in Zone A (1 x 19 x 20).

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Answer:

125% of 781.25 is 625

Answer: 500

Step-by-step explanation: 625÷125×100=500

Answer:It's d

Step-by-step explanation:

Answer:

Acute Angle:

An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles. In the adjoining figure, ∠X0Y represents an acute angle.

Step-by-step explanation:

its acute angle. hope it helps

Answer:

Acute angle.

Step-by-step explanation:

An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.Thus, this means that the angle is an Acute angle.

A conditional equation is neither an identity nor a contradiction. It is a statement that is only true under certain conditions.

A conditional equation is an equation that expresses a condition. It has two parts: a hypothesis (or antecedent) and a conclusion (or consequent). The hypothesis states that a certain condition must be met in order for the conclusion to be true. For example, the equation "if x = 4, then x + 1 = 5" is a conditional equation. If the condition (x = 4) is true, then the conclusion (x + 1 = 5) is also true. However, if the condition is false, then the conclusion is also false. Therefore, a conditional equation is neither an identity nor a contradiction, but rather a statement that is only true under certain conditions.

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Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

The options are:

A: -3 - 4.9x = 12.8

B: 4.9x - (-3) = 12.8

C: 3+ 4.9x = 12.8

D: (4.9 - 3)x = 12.8

E: 12.8 = 4.9x + 3

We have a statement:

A negative 3 less than 4.9 times a number, x, is the same as 12.8.

We can write in a mathematical form:

4.9x - (-3) = 12.8

or

4.9x + 3 = 12.8

or

12.8 = 4.9x + 3

Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.

Answer:

Step-by-step explanation:

4

The amount of money Kadeesha have in her account after 11 years is $1059.3.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)

Given that, principal=$900, rate of interest=1.5% and time period =11 years.

Now, amount =900(1+1.5/100)¹¹

= 900(1+0.015)¹¹

= 900(1.015)¹¹

= 900×1.177

= $1059.3

Therefore, the amount of money Kadeesha have in her account after 11 years is $1059.3.

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If h(x) = 6 5f(x) , where f(5) = 6 and f '(5) = 4, then h'(5). h'(5) =20

To find h'(5) given h(x) = 6 + 5f(x), f(5) = 6, and f'(5) = 4, follow these steps:

1. Differentiate h(x) with respect to x: h'(x) = 0 + 5f'(x) (since the derivative of a constant is 0, and we use the chain rule for the second term).

2. Now, h'(x) = 5f'(x).

3. Plug in the given values: h'(5) = 5f'(5).

4. Since f'(5) = 4, substitute this value: h'(5) = 5 * 4.

5. Compute the result: h'(5) = 20.

So, h'(5) = 20.

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The polynomial equivalent to the given function f(f(x)) is 16x - 21.

The largest exponential power in a polynomial equation is called the polynomial's degree. Each polynomial's degree is determined only by its variables; coefficients are should be disregarded. x is the variable with the biggest power of n in an nth degree polynomial function with real coefficients, where n accepts whole integer values.

The given function is f(x)=-4x+7.

To find the value of f(f(x)) substitute the value of x = f(x).

(f(x)) = f(-4x + 7)

= -4(-4x + 7) + 7

= 16x - 21

Therefore, the polynomial equivalent to the given function f(f(x)) is 16x - 21.

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m / 12 ≥ 3

Then multiply both by 12

m• (12/12) ≥ 3•12

m•(1) ≥ 36

Then solution is

m≥ 36

(all numbers bigger or equal to 36)

Answer:

Solution:

Hi! To solve this inequality, all we should do is multiply both sides by 12:

\(\implies\sf{\dfrac{m}{12} \geqslant3}\\\implies\sf{m\geqslant36}\)

We come to the conclusion that the answer is \(\implies\sf{m\geqslant36}\).

Problem solved! It's been a pleasure helping you.

Answer:

D

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

Hi there, to set up this problem you are first going to draw a triangle and label the angles A, B, and C. The sides opposite from the vertexes are going to be labeled a, b and c. Fill in the information as provided to you in the problem.

You are given angle m<A=123 , the side across is a=45, and c=24. You know to use law of sines for this problem because you are given pieces of information that correspond with the same letter (A and a).

Start by setting up a proportion with that looks like

(45/sin(123)) = (24/sin(C))  

You are looking to solve for the remaining angles and sides, but when you cross multiply and divide, you end up with arcsin(1.573), which does not provide a solution for m<C and also means that there are no solutions to this triangle.

Hope this helps.

The only possible triangle that satisfies the given conditions has sides of length a = 45, b = 57.58, and c = 24, and angle measures of A = 123º, B = 31.7º, and C = 25.3º.

According to the Law of Sines, in a triangle ABC:

a/sin(A) = b/sin(B) = c/sin(C)

Where a, b, and c are the lengths of the sides, and A, B, and C are the opposite angles, respectively.

Using the given information:

a = 45

c = 24

∠a = 123º

We can solve for the remaining parts of the triangle as follows:

sin(A) = a/csc(∠a) = 0.298

Since sin(A) < 1, there is only one possible triangle that can satisfy the given conditions.

Using the Law of Sines:

b/sin(B) = c/sin(C)

b/sin(B) = 24/sin(∠B)

b = 24(sin(A))/sin(∠B) = 57.58

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The Riemann Hypothesis is a conjecture in mathematics that states that all non-trivial zeros of the Riemann zeta function lie on a specific line in the complex plane, known as the critical line.

This critical line is defined as the set of complex numbers with a real part equal to 1/2. Additionally, the hypothesis suggests that the only other zeros of the zeta function are the negative even integers.

The Riemann zeta function is an important mathematical function that arises in number theory and has connections to prime numbers. The Riemann Hypothesis has been a central problem in mathematics for over a century, and its truth or falsehood has significant implications for the distribution of prime numbers.

Despite extensive efforts, the hypothesis remains unproven, and its proof or disproof continues to be an active area of research.

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Answer:

add 2

Step-by-step explanation:

just adding 2

The decimal form of the given number which is 5 3/4 is 5.75.

Given number = 5 3/4.

The given number is a fractional number, which is looking like a mixed fraction.

To write the mixed fraction into decimal form first, we have to write it into normal fraction, later we divide it to get the required decimal form.

To convert mixed fraction into normal fraction,

5 3/4 = ((4*5) + 3) / 4 = 23/4

So, the fraction is 23/4.

To convert the fraction into a decimal, we have to divide the numerator by the denominator as shown below,

23/4 = 5.75

From the above analysis, we can conclude that the decimal form of 5 3/4 is 5.75.

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