ok Write your answer in simplest form

Answer: The first one is 15 and the second one is 1.

Step-by-step explanation: I plugged in -4 where x is so the equation was (-4)^2-1 which equals 15.For other one i did the same thing except with the 2 so the equation was 3(2)-5 which equals 1.

the answer to your question is D

Answer:

m ∠ CDB ≈ 68.7°

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

0.15 x 100 = 15%

An ice cream shop has 10 flavors and one can choose 4 different flavors. The question asks for the total number of possible flavor combinations.Therefore, we need to find the number of ways in which 4 flavors can be chosen from 10 flavors.

In such cases where order does not matter and repetitions are not allowed, we can use the formula for combinations which is as follows:C(n, r) = n! / (r! (n - r)!)Where n is the total number of items, r is the number of items being chosen at a time and ! represents the factorial function.

Using this formula we can find the total number of possible flavor combinations. Substituting the values in the above formula, we get:C(10, 4) = 10! / (4! (10 - 4)!)C(10, 4) = (10 * 9 * 8 * 7) / (4 * 3 * 2 * 1)C(10, 4) = 210Hence, there are 210 possible flavor combinations when one can choose 4 different flavors

.Explanation:The formula to be used for this type of question is combination. Combination is the method of selecting objects from a set, typically without replacement (without putting the same item back into the set) and where order does not matter. The formula for combination is given by C(n,r)=n!/(r!(n-r)!).

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Answer: The resulting equation in the vertex form is (y - 4) = -(x-4)^2 having the vertex at the point (4,4).

Answer:

geometric t2-t1

Step-by-step explanation:

divide the second term by the first to get the common ratio

Answer: This is an arithmetic sequence and the common difference is equal to -3.

Step-by-step explanation:

Answer:

there are 13 newspapers per pile

Step-by-step explanation:

to find newspapers per pile we divide 39/ 3

39/3= 13

Inverse function of f(x) 8√ x for x > 0 is  f^-1(y)is 8√y for y > 0. The inverse of a function is a function that "undoes" the original function.

In order for a function to have an inverse, it must be one-to-one, meaning that each input value must correspond to a.

if the original function maps input values to output values, the inverse function maps the output values back to the input values.

To find the inverse of the function f(x) = 8√x for x > 0, we can use the following steps:

Replace f(x) with y. This gives us y = 8√x for x > 0.

Replace x with f^-1(y). This gives us f^-1(y) = 8√y.

Solve for y. To solve for y, we can square both sides of the equation:

y^2 = (8√y)^2

y^2 = 64y

y^2 - 64y = 0

y(y - 64) = 0

This equation has two solutions: y = 0 or y = 64. However, the original function is only defined for x > 0, so the inverse function is only defined for y > 0. This means that the inverse function is f^-1(y) = 8√y for y > 0.

Therefore, the inverse of the function f(x) = 8√x for x > 0 is f^-1(y) = 8√y for y > 0.

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Answer:

4.26

Step-by-step explanation:

3^2= 9

2/3= .66

9^.66

\(\\ \rm\Rrightarrow (3x^2)^{2/3}\)

\(\\ \rm\Rrightarrow 3x^{2\times 2/3}\)

\(\\ \rm\Rrightarrow (3x)^{4/3}\)

\(\\ \rm\Rrightarrow \sqrt[3]{3^2x^4}\)

\(\\ \rm\Rrightarrow \sqrt[3]{9x^4}\)

Answer:

2.4 gallon per minute

Step-by-step explanation:

Given that,

A chef turned on a faucet and filled a 2-gallon pot in 5/6 of a minute.

We need to find the rate of water flow. The rate of water flow is given by :

\(R=\dfrac{2}{\dfrac{5}{6}}\\\\=2\times \dfrac{6}{5}\\\\=2.4\)

So, the rate is 2.4 gallon per minute.

Answer:

X=-3 y=5

Step-by-step explanation:

The angle measures of the triangles before and after dilation are the same

Given that, we have a triangle that is dilated to form another triangle by a scale factor of n

The dilation transformation is a rigid transformation

This means that it changes the size of a shape after it is applied

However, the shape and the image would be similar shapes and as such would have their angles unchanged

This means that irrespective of the value of the scale factor n, the angle measures would remain the same

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Answer:

Inequality: \(\frac{x}{2} \leq 3\)

Solved: \(x\leq 6\)

Step-by-step explanation:

\(\frac{x}{2} \leq 3\)

\(x\leq 6\)

The integral ∫[0 to 1] x² dx evaluates to 1/3.

To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.

To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.

Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².

To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.

In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.

Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.

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Answer:

\(n=-9\)

Step-by-step explanation:

Subtract 10 on both sides giving you: -7n = 63

The divide -7 to both sides giving you -9

Tip: A negative divided by a positive is a negative.

Answer:

8

Step-by-step explanation:

75% of x = 6

0.75x = 6

x = 6/0.75

x = 8

Answer: 8

Answer: height = 1.91 m

Step-by-step explanation: Using the formula

V=πr2h

Solving for h

h=V

πr2=37.5

π·2.52≈1.90986m

Answer:

25 squareinches

Step-by-step explanation:

All polygons with the same length and width has the sam area.

Answer:

81 and 9 is the answer I got hope it helps

The equation that she can use as statement 5 is c) (3x + 24): 51 = 3x: 85.

To prove that x = 12, Dora must first prove that the segments ST and RQ are parallel. This can be done by showing that the angles formed by their intersection are congruent.

Since the angles, QRT and STP are congruent (statement 2) and the angles SPT and QPR are congruent (statement 3), the Triangle-Angle Angle Similarity Postulate can be applied to show that triangle SPT is congruent to triangle QPR (statement 4).

Now, the corresponding sides of the two triangles must be in proportion in order to prove that x = 12. For this, Dora can use the equation (3x + 24) : 51 = 3x : 85 (statement 5). This equation states that the ratio of the lengths of the corresponding sides of the two triangles is equal to the ratio of 3x to 51 and 3x to 85, respectively.

Since the ratio of the sides of the two triangles must be equal, then 3x + 24 must be equal to 85 and 3x must be equal to 51. Solving for x, we get x = 12, proving that if segment ST is parallel to segment RQ, then x = 12.

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The complete question

Look at the figure shown below. Dora is writing statements as shown to prove that if segment ST is parallel to segment RQ, then x = 12.

1.Segment ST is parallel to segment QR

Given

2.Angle QRT is congruent to angle STP

Corresponding angles formed by parallel lines and their transversal are congruent.

3.Angle SPT is congruent to angle QPR

Reflexive property of angles.

4.Triangle SPT is congruent to triangle QPR

Angle-Angle Similarity Postulate

5.?Corresponding sides of similar triangles are in proportion.

Which equation can she use as statement 5?

(3x + 24) : 3x = 85 : 51

(3x + 24) : 81 = 3x : 51

(3x + 24) : 51 = 3x : 85

34 : 24 = 3x : 51

The 99% confidence interval for the proportion of all American youngsters who are seriously overweight is approximately 0.169 to 0.191.

A confidence interval for the proportion of all American youngsters who are seriously overweight, we can use the following formula:

Confidence Interval = Sample Proportion ± Margin of Error

Sample Size (n) = 4707

Sample Proportion (p (cap)) = 18% = 0.18

Confidence Level = 99%

First, we need to calculate the margin of error (ME). The formula for the margin of error is:

Margin of Error (ME) = Critical Value × Standard Error

The critical value depends on the desired confidence level. For a 99% confidence level, the critical value can be obtained from a standard normal distribution table or a statistical software. In this case, the critical value is approximately 2.576.

The standard error (SE) is calculated as

Standard Error (SE) = √((p (cap) × (1 - p (cap))) / n)

Now, let's calculate the margin of error and the confidence interval

Standard Error (SE) = √((0.18 × (1 - 0.18)) / 4707)

Margin of Error (ME) = 2.576 × SE

Confidence Interval = Sample Proportion ± Margin of Error

Calculating the values

SE ≈ 0.00429

ME ≈ 2.576 × 0.00429 ≈ 0.01103

Lower bound = Sample Proportion - ME Lower bound

= 0.18 - 0.01103

= 0.169

Upper bound = Sample Proportion + ME Upper bound

= 0.18 + 0.01103

= 0.191

Rounding the results to three decimal places

Lower bound ≈ 0.169 Upper bound ≈ 0.191

Therefore, the 99% confidence interval for the proportion of all American youngsters who are seriously overweight is approximately 0.169 to 0.191.

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Answer:

-3k + 10

Step-by-step explanation:

-3k-(-8)+2 = -3k + 8 + 2 = -3k +10

Answer:

-3k + 10

Step-by-step explanation:

-3k + 8 + 2 =

-3k + 10

Hope that helps!

Answer:

Sorry i dont know but need the points

Step-by-step explanation:

Answer:

40000

Step-by-step explanation:

Use force calculator

The C'A' of the triangle after dilation is 10 units.

Dilation is a transformation that changes the size of an object or shape without changing its shape. The shape can be a point, a line segment, a polygon, etc.

Since triangle ABC was dilated using the rule D 5/4 and CA = 8.

To find the image of CA (C'A') after a dilation of 5/4. We can say:

C'A' = CA * dilation

C'A' =  8 * 5/4

C'A' = 10 units

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