If two pounds of meat will serve 5 people, how many pounds will be needed to serve 13
people?

Answer:

Quiz - Quizizz

Q. In an exponential function, what does the 'a' represent? ... Q. What is a, the starting term, for the function: f(x) = 800(0.85)x? ... In the equation y=2(5)x , the a value (y-intercept) is.

Missing: r ‎| Must include: r

Answer:

I think it would be H, F, P

They all intersect at E

At a significance level of 0.01, we can confidently state that the student's claim is true.

The hypothesis in this question can be stated as follows:

Null Hypothesis: H0: μ1 = μ2 (There is no difference between the mean of four-year college enrollment and two-year college enrollment.)

Alternative Hypothesis: H1: μ1 > μ2 (Mean enrollment of four-year colleges is greater than the mean enrollment of two-year colleges in the United States.)

The significance level (α) is given as 0.01, which represents the probability of rejecting the null hypothesis when it is actually true.

To calculate the test statistic, we can use the formula:

z = ((X1 - X2) - (μ1 - μ2)) / √((σ1² / n1) + (σ2²  / n2))

Substituting the given values:

z = ((6193 - 4305) - (0)) / √((598²  / 35) + (572²  / 35))

z = 10.33

Since this is a right-tailed test, we need to compare the test statistic with the critical value. At a significance level of 0.01, the critical value is 2.33.

The calculated test statistic (10.33) is greater than the critical value (2.33). Therefore, we reject the null hypothesis and conclude that there is enough evidence to support the claim that the mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

In conclusion, at a significance level of 0.01, we can confidently state that the student's claim is true. The mean enrollment at four-year colleges is higher than at two-year colleges in the United States.

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Answer:

answer is D. 35/60

Step-by-step explanation:

35 divided by 60 is = 0.583333

which is a repeating decimal

Among the options, only a rational number (35/60) is equivalent to a repeating decimal. The correct answer is option (d).

To identify which of the given rational numbers is equivalent to a repeating decimal, we need to check their decimal representations.

a. 24/60 = 2/5 = 0.4 (terminating decimal, not repeating)

b. 30/64 = 15/32 = 0.46875 (terminating decimal, not repeating)

c. 29/50 = 0.58 (terminating decimal, not repeating)

d. 35/60 = 7/12 = 0.583333... (repeating decimal, as 3 repeats infinitely)

Among the options, only option d (35/60) is equivalent to a repeating decimal.

The repeating decimal representation is 0.583333... where the digit 3 repeats indefinitely.

This can be represented as 0.58(3).

The correct answer is option (d).

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Answer:

(4, -5)

(3, -2)

Answer:(

4, -5)

(3, -2)

Step-by-step explanation:

Answer:

50 meters above the ground. Then, it drops 65 meters into an underground tunnel.What is the elevation of the tunnel relative to the ground

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

khan show me the steps

Answer:

\((a)\ x = 0.4\ or\ (d)\ x = -2.7\)

Step-by-step explanation:

Given

\(f(x) = -x^2 - 2x +6\)

\(g(x) = 2x^2 + 5x + 3\)

Required

Find x if \(f(x) = g(x)\)

The above implies that:

\(-x^2 -2x +6 = 2x^2 + 5x +3\)

Collect like terms

\(2x^2 + x^2 + 5x + 2x + 3 - 6 = 0\)

\(3x^2 + 7x - 3 = 0\)

Using quadratic formula, we have;

\(x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)

Where

\(a=3; b=7; c=-3\)

\(x = \frac{-7 \± \sqrt{7^2 - 4*3*-3}}{2*3}\)

\(x = \frac{-7 \± \sqrt{49+ 36}}{6}\)

\(x = \frac{-7 \± \sqrt{85}}{6}\)

\(x = \frac{-7 \± 9.22}{6}\)

Split

\(x = \frac{-7 + 9.22}{6}\ or\ x = \frac{-7 - 9.22}{6}\)

\(x = \frac{2.22}{6}\ or\ x = \frac{-16.22}{6}\)

\(x = 0.4\ or\ x = -2.7\) --- approximated

Since the function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3.The option that is the correct expression for g(x) is option C: g(x) = 3x² + 3

In the above case,  we shall multiply the base function by the scale factor when stretching a function vertically. As a result, we have g(x) = 3 f. (x). Don't forget to share 3 to each term in f. (x).

g(x) = 3(x² + 1)

=3x² + 3

As a result, the appropriate formulation for g(x) is 3x² + 3.

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See complete question below

The function, g(x), is obtained by vertically stretching f(x) = x2 + 1 by a scale factor of 3. Which of the following is the correct expression for g(x)?

 g(x) = 3x² + 1

g(x) = x² + 3

g(x) = 3x² + 3

g(x) = 3(x + 1)2

Answer:

1

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( 8-4)/( -1 --5)

   = 4/( -1+5)

   = 4/4

   =1

You need the slope, so start with the slope formula.

slope = y₂ - y₁ / x₂ - x₁

Substitute (-5, 4) for (x₁, y₁) and (-1, 8) for (x₂, y₂).

So we have 8 - 4 / -1 - -5.

Simplify to find the answer.

So we have 4/4 which is 1.

Based on the fact that the park is shaped as a triangle, if the man walks around the perimeter of the park, he would walk 2,154 ft.

The man will walk the perimeter of the triangle which can be found by adding up all the sides of the triangle.

This means that the distance the man walked is:

= 600 + 300 + 300√3 + 300√6

Solving for the perimeter gives:

= 600 + 300 + 300√3 + 300√6

= 2,154ft

In conclusion, the man walked 2,154 ft.

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Answer:

Ms kits sold 336 CDS

Step-by-step explanation:

I cant help with the last part sorry dont listen to my answer

Answer:

9x

Step-by-step explanation:

If you have 10 x and you subtract one, you get left with 9 x.

Think of it as objects. You have 10 apples and someone takes an apple, what do you have left? 9.

Answer:

9x

Step-by-step explanation:

If you have 10 x and you subtract one, you get left with 9 x.

Think of it as objects. You have 10 apples and someone takes an apple, what do you have left? 9x = 3

Answer:

answer: y= 1^2+ -8 I think I did this right.

Answer:

y=-1/2x-8

Step-by-step explanation:

ANSWER

72.2 gallons

EXPLANATION

We can do a graph for these rectangles to understand the problem better,

Now, we have to find the sum of the areas of these rectangles. Note that all of them have a width of 2 units, so the sum of the areas is 2 multiplied by the sum of the heights of the rectangles,

Hence, the upper estimate for the total amount of water leaked out is 72.2 gallons.

Using the formula of surface area to calculate the height and using the formula for volume , The answer is 24.98 \(cm^{3}\) .

A cone is a three-dimensional geometric structure with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex.

The required formula are :

\(SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})\)  (Surface Area)

\(V = \pi r^{2} \frac {h}{3}\) (Volume)

radius = 3 cm

Area= 66 \(cm^{2}\)

\(SA = \pi r (r + \sqrt {h^{2} + r ^ {2}})\)

h = 2.65 cm

\(V = \pi r^{2} \frac {h}{3} = \pi * 3^{2} * \frac {2.65}{3}\)

=24.98 \(cm^{3}\)

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A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

Here, we have,

A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

H₀: The humidity level absorbed is 3%, and

Hₐ: The humidity level absorbed is more than 3%.

A Type I error would result in rejecting a true null hypothesis.

This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3% and correctly functioning components will be destroyed at great expense to the company.

In statistics, a Type I error is a false positive conclusion, while a Type II error is a false negative conclusion.

Hence, A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

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Let x be the number of sunflowers in each row.

Mark planted a total of 72 sunflowers. Since the sunflowers are planted in equal rows.

The equation we get,

x × 2x =72

simplifying the eq.

2x² =72

divide the eq. By

x² = 36

Now take the square root both the side we get

x= 6

therefore, Mark planted 6 sunflowers in each row.

Answer:

smallest -3,-2,2,9 biggest

Answer:

-3, -2, 2, 9

Step-by-step explanation:

-3 is the smallest (it is below 0), -2 is second because it is closer to 0 than -3 but still below it, 2 follows, and then 9

\( \frac{4y}{9} - \frac{2y}{3} = 10 \\ = > \frac{4y - 6y}{9} = 10 \\ = > \frac{ - 2y}{9} = 10 \\ = > y = 10 \times \frac{9}{ - 2} \\ = > y = - 5 \times 9 \\ = > y = - 45\)

-45

The rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The rectangle EFGH is dilated of the rectangle ABCD with a center of the dilation at the origin.

From the figure, it is clear that the rectangle is symmetrical about the y-axis. Then both the figures are rectangles and all the rectangles are similar.

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The supply of styluses is falling at a rate of 0.0144p² styluses per week.

To determine the exact rate of change in supply, we need to look at the equation provided: 500p²x² = 1996. We can rearrange this equation to solve for x, which represents the supply of styluses:

x² = (1996/500p²)

x = √(1996/500p²)

Now, we can differentiate this equation with respect to time to find the rate of change in supply:

dx/dt = (-1/2)(1996/500p²)(-1000p²/1996)*dp/dt

Simplifying this equation, we get:

dx/dt = (6/25)p²dp/dt

Using the information provided in each situation, we can plug in the appropriate values to find the rate of change in supply:

In the first situation, where the price is rising at 12 cents per week, dp/dt = 0.12. Plugging this into the equation above, we get:

dx/dt = (6/25)(p²)(0.12) = 0.0288p²

This means that the supply of styluses is rising at a rate of 0.0288p² styluses per week.

In the second situation, where the price is falling at 6 cents per week, dp/dt = -0.06. Plugging this into the equation above, we get:

dx/dt = (6/25)(p²)(-0.06) = -0.0144p²

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Answer:

The focus (or foci).

Step-by-step explanation:

The focus of a hyperbola are equidistant from the center of the hyperbola. They can be found with the formula c²= a² + b². The points for the foci being

(-c, y) and (c, y).

In this illustration, the foci are the points in blue.

So, the percentage of data values represented on a box plot that falls between the lower quartile and the upper quartile is 50%.

In a box plot, the lower quartile (Q1) represents the 25th percentile, and the upper quartile (Q3) represents the 75th percentile. The interquartile range (IQR) is the range between the lower quartile and the upper quartile. To determine the percentage of data values that fall between the lower quartile and the upper quartile, we need to consider the IQR.

The IQR represents the middle 50% of the data. Therefore, the percentage of data values between the lower quartile and the upper quartile is 50%. In other words, half of the data values are within the IQR range, while the remaining 50% are outside this range, including the lower 25% below the lower quartile and the upper 25% above the upper quartile.

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The value of the perpetuity (P) is $33,496.80.

By definition, a perpetuity is an annuity that runs forever. A perpetuity usually has fixed payments that continue indefinitely into the future. The formula for perpetuity is as follows:Perpetuity = Payment / Interest Rate or P = A / iWhere P is the value of the perpetuity, A is the amount of the constant annuity payment, and i is the interest rate. In this problem, Emilio deposits $1,000 at the end of each year for 5 years into a savings account that earns 5% annually.

After this period, he deposits nothing, and at the end of year 10, Emilio uses the accumulated amount to purchase a perpetuity that pays P at the end of each year.In the first five years, Emilio deposits $1,000 at the end of each year into his savings account, and the account earns an interest rate of 5% annually. Therefore, at the end of the fifth year, he has accumulated: $1,000 x [(1 + 0.05)⁵ – 1] / 0.05 = $5,525.63

After that, Emilio makes no further deposits. Therefore, at the end of year 10, the amount he has accumulated in his account is:$5,525.63 x (1 + 0.05)⁵ = $7,374.91

He uses this amount to purchase a perpetuity that pays P at the end of each year. The value of P is given by:P = A / iwhere A is the amount of the constant annuity payment and i is the interest rate.

Since the amount he has accumulated at the end of year 10 is $7,374.91, the amount of the constant annuity payment (A) is:$7,374.91 / [(1 + 0.05)⁵ – 1] / 0.05 = $1,674.84

Therefore, the value of the perpetuity (P) is:P = $1,674.84 / 0.05 = $33,496.80

Therefore, the value of the perpetuity (P) is $33,496.80.

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Answer:

119 is the value of x when y = 7

Step-by-step explanation:

Since y varies inversely with x, we can use the following equation to model this:

y = k/x, where

Step 1:  Find k by plugging in values:

Before we can find the value of x when y = k, we'll first need to find k, the constant of proportionality.  We can find k by plugging in 49 for y and 17 for x:

Plugging in the values in the inverse variation equation gives us:

49 = k/17

Solve for k by multiplying both sides by 17:

(49 = k / 17) * 17

833 = k

Thus, the constant of proportionality (k) is 833.

Step 2:  Find x when y = k by plugging in 7 for y and 833 for k in the inverse variation equation:

Plugging in the values in the inverse variation gives us:

7 = 833/x

Multiplying both sides by x gives us:

(7 = 833/x) * x

7x = 833

Dividing both sides by 7 gives us:

(7x = 833) / 7

x = 119

Thus, 119 is the value of x when y = 7.

Answer:

A.dollors

correcte if I wrong

60 s²t² is the lowest common multiple of 3st, 4s^2, 5t^2

LCM is known as the lowest common multiple. This is the smallest number that is a multiple of both of two numbers is called the least common multiple.

Given the terms 3st, 4s^2, 5t^2

Find the factors

3st = 3 * s * t

4s² = 4 * s * s

5t² = 5 * t * t

The LCM is calculated as thus:

LCM = (3*4*5) * s²t²

LCM = 60 s²t²

Hence the LCM of the terms 3st, 4s^2, 5t^2 is 60 s²t²

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