Nadine made 16 cups of punch for a class party. One serving is 12cup. How many servings of punch did Nadine make?

Answer:        我不知道你好

Step-by-step explanation:

Answer:

x = 12 and y = 9

Step-by-step explanation:

Using the similarity theorem to fid the value of x and y

16/x = 16+6/16.5

16/x = 22/16.5

22x = 16*16.5

22x = 264

x = 264/22

x =12

Similarly

24/x = 24+y/16.5

24/12 = 24+y/16.5

2 = 24+y/16.5

24+y = 2 * 16.5

24+y = 33

y = 33-24

y = 9

Hence x = 12 and y = 9

Answer:

2

Step-by-step explanation:

To simplify the expression (2^100 + 4^50)/16^25, let's break it down step by step:

First, let's simplify the numerator:

2^100 can be written as (2^2)^50, which is equal to 4^50.

So the numerator simplifies to 4^50 + 4^50.

Now, let's simplify the denominator:

16^25 can be written as (2^4)^25, which is equal to 2^100.

Now, we can rewrite the expression as:

(4^50 + 4^50) / 2^100

Since the bases are the same, we can combine the terms in the numerator:

2 * 4^50 / 2^100

Next, we can simplify the numerator further:

2 * (2^2)^50 / 2^100

Using the rule of exponentiation, we can multiply the exponents:

2 * 2^(2 * 50) / 2^100

Simplifying the exponent, we have:

2 * 2^100 / 2^100

Now, we can cancel out the common terms in the numerator and denominator: 2

Therefore, the simplified expression is 2.

Speed the top of the ladder is sliding down = 1.6ft/sec  when it is 12 feet away from the wall

15-foot ladder is leaning against a wall.

the top of the ladder is sliding down the wall at a rate of 2 ft/sec.

how fast is the bottom of the ladder moving when it is 12 feet away

Using equivalent proportion

15 ft -------------------2ft/sec

12 ft-------------------X ft/sec

Hence X = (12 x 2) ÷ 15 =1.6 ft/sec

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The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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Answer:

22%

Step-by-step explanation:

change/years since 2000

2.2/10

multiply by 100

22

Answer:

22%

Step-by-step explanation:

Answer:

distance = sqrt((x2-x1)^2 + (y2-y1))

distance = sqrt((7-13)^2 + (10-2)^2)

distance = sqrt( -6^2 + 8^2)

distance = sqrt(36+64)

distance = 10

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

d = \(\sqrt{(x2 - x1)^2 + (y2 - y1)^2}\)

d = \(\sqrt{(13 - 7)^2 + (2 - 10)^2}\)

d = \(\sqrt{(6)^2 + (-8)^2}\)

d = \(\sqrt{36 + 64}\)

d = \(\sqrt{100}\)

d = 10 units

Answer:

its hard i don't know

Step-by-step explanation:

very bad

very very bad

very much bad

bad

The yield of stock at yesterday's closing price is 3.43%.

Annual dividend is the profit of the stock which is divided among the shareholders, both common and preferred shareholders annually.

Given,

Annual dividend = $1.20

Today's closing price = $34.50

Net change = -$0.50

Let x be yesterday's closing price.

Net change = Today's closing price - yesterday's closing price

⇒ -0.50 = 34.50 - x

⇒ x = 34.50 + 0.50

⇒ x = 35

Yield = \(\frac{Annual dividend}{Price}\) × 100

         = \(\frac{1.2}{35}\) × 100

         = 3.4286 % ≈ 3.43 %

Hence the stock's yield at yesterday's closing price of preferred stock is 3.43 %.

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Answer: the answer is 1.2%

- 15 - 3w = 4w - 2w

- 15 - 3w = 2w

- 15 = 5w

- 3 = w

Answer:

-3

Step-by-step explanation:

Answer:

f(x)= -2/3x+490

Step-by-step explanation:

The graph of the function represents the amount of money Sal has, as a function of the number of sandwich lunch specials he sells.

Answer:

1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y. 

2x+3y=1470

2x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)

3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)

3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal) 

So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.

2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point. 

.3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases

5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.

Step-by-step explanation:

The dependent variable is Muscle mass.

An analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass.

She collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression.

Given information,

We get that muscle mass depends positively on protein powder and muscle mass depends negatively on long-distance running.

This implies that Muscle mass is a dependent variable.

Therefore, The correct option is option B.

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Incomplete Question:

an analyst believes that protein powder builds muscle mass while long-distance running reduces muscle mass. she collects data on subjects (pounds of muscle mass, ounces of protein powder, and hours of running) and runs a regression. what is the dependent variable?

Answer:

3+11+9+7

Step-by-step explanation:

You add all the numbers

Answer:

the answer is #1

Step-by-step explanation:

Answer:

\(2 \frac{1}{8} ~\frac{miles}{hour}\)

Step-by-step explanation:

"Per" means division.

"miles per hour" means a distance in miles divided by a time in hours.

We need to divide 5 2/3 miles by 2 2/3 hours.

\( \dfrac{5 \frac{2}{3}~miles}{2 \frac{2}{3}~hours}} = \)

Change each mixed numeral into a fraction.

\( = \dfrac{\frac{5 \times 3 + 2}{3}~miles}{\frac{2 \times 3 + 2}{3}~hours} \)

\( = \dfrac{\frac{17}{3}~miles}{\frac{8}{3}~hours} \)

To divide by a fraction, multiply by its reciprocal.

\(= \dfrac{17}{3} \times \dfrac{3}{8} \frac{miles}{hour}\)

\(= \dfrac{17}{8} \frac{miles}{hour}\)

\(= 2 \frac{1}{8} ~\frac{miles}{hour}\)

The 25th percentile of the given set of data is option d , 3.

To find the 25th percentile, we need to first determine the position of the value that corresponds to the 25th percentile.

The formula to find the position is: (25/100) x (n+1), where n is the total number of values in the dataset.

In this case, n = 15, so the position is: (25/100) x (15+1) = 4.

This means that the value at the 4th position in the ordered set of data corresponds to the 25th percentile.

Looking at the ordered set, the 4th value is 3. Therefore, the answer is option d. 3.

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Answer:

30 kids

Step-by-step explanation:

The x-intercepts are approximately (-1.08, 0) and (-0.42, 0), and the y-intercept is (0, -5).

To find the x-intercepts of a parabola, we set y = 0 and solve for x. Similarly, to find the y-intercept, we set x = 0 and solve for y.

Setting y = 0 in the given equation, we get,

0 = −10x^2 − 16x − 5

We can solve for x by using the quadratic formula:

x = [-(-16) ± sqrt((-16)^2 - 4(-10)(-5))] / (2(-10))

Simplifying, we get,

x = [-(-16) ± sqrt(256 - 200)] / (-20)

x = [-(-16) ± sqrt(56)] / (-20)

x = [8 ± 2sqrt(14)] / (-10)

So the x-intercepts are:

x = [8 + 2sqrt(14)] / (-10) ≈ -1.08

x = [8 - 2sqrt(14)] / (-10) ≈ -0.42

To find the y-intercept, we set x = 0 in the given equation:

y = −10(0)^2 − 16(0) − 5

y = -5

So the y-intercept is -5.

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Answer:

Attached below

Step-by-step explanation:

Trapezoid: Opposite side are parallel in trapezium.

So, opposite sides are parallel in  all given quadrilateral except second.

Therefore, attached figure is not trapezium.

Answer:

.........

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

Answer:

3 to 8

Step-by-step explanation: It cannot be further simplified so 3 eggs to 8 cups or 3:8 ratio

The term for this kind of sample is cluster sampling

Given

that, At a major ten university, 200 of the 30,000 undergraduate students and 100 of the 5,000 graduate students are chosen to represent a sample of student opinion.

What is cluster sampling ?

Cluster sampling involves breaking up a population into smaller units called clusters. Then, they randomly select a sample from each of these clusters. Cluster sampling is a probability sampling technique that is frequently used to examine large populations, especially those that are widely geographically dispersed.

Researchers frequently refer to pre-existing groups like cities or schools when referring to clusters. With an SRS of 200 students and an SRS score of 100, clusters have been utilized in this instance. Cluster sampling is the name given to this type of sample as a result.

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Answer:

y - (y · 0.22) + (y · 0.06)

Step-by-step explanation:

Answer: Dad = 3 hours

Mom = 11 hours

Step-by-step explanation:

Let the number of hours driven by her mum be m.

Let the number of hours driven by her dad be d.

We can form equation from the question as:

d + m = 14 ........... i

60d + 65m = 895.......... ii

Since d + m = 14, d = 14 - m

Substitute 14 - m into d in equation ii

60d + 65m = 895

60(14 - m) + 65m = 895

840 - 60m + 65m = 895

840 + 5m = 895

5m = 895 - 840

5m = 55

m = 11

The mother drove for 11 hours

Since d + m = 14

d + 11 = 14

d = 14 - 11

d = 3

The father drive for 3 hours

∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx equals approximately 1932.5

To evaluate the given integrals, let's first identify the functions f(x) and g(x) and their respective intervals.

f(x) = 4x^2 - 3x + 2

g(x) = 2x^3 - 5x + 1

Interval: [3, 8]

Now, let's evaluate the integrals step by step.

∫[3, 8] f(x) dx:

We integrate the function f(x) over the interval [3, 8].

∫[3, 8] (4x^2 - 3x + 2) dx

To find the integral, we can use the power rule for integration. For each term, we increase the exponent by 1 and divide by the new exponent.

= [4 * (x^3/3) - 3 * (x^2/2) + 2x] evaluated from 3 to 8

Now we substitute the upper and lower limits into the integral expression:

= [(4 * (8^3/3) - 3 * (8^2/2) + 2 * 8) - (4 * (3^3/3) - 3 * (3^2/2) + 2 * 3)]

Simplifying further:

= [(4 * 512/3) - (3 * 16/2) + 16 - (4 * 27/3) + (3 * 9/2) + 6]

= [(1706.67) - (24) + 16 - (36) + (13.5) + 6]

= 1683.17

Therefore, ∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx:

We integrate the function g(x) over the interval [3, 8].

∫[3, 8] (2x^3 - 5x + 1) dx

Using the power rule for integration:

= [(2 * (x^4/4)) - (5 * (x^2/2)) + x] evaluated from 3 to 8

Substituting the upper and lower limits:

= [(2 * (8^4/4)) - (5 * (8^2/2)) + 8 - (2 * (3^4/4)) + (5 * (3^2/2)) + 3]

Simplifying further:

= [(2 * 4096/4) - (5 * 64/2) + 8 - (2 * 81/4) + (5 * 9/2) + 3]

= [(2048) - (160) + 8 - (162/2) + (45/2) + 3]

= 1932.5

Therefore, ∫[3, 8] g(x) dx equals approximately 1932.5

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Answer:

3.5 min

Step-by-step explanation:

To find the price at which the designer will sell the maximum number of shirts, we need to determine the vertex of the quadratic function representing the number of shirts sold.

The equation for the number of shirts sold is given by:

S = -4x^2 + 80x - 76

This is a quadratic function in the form of:

S = ax^2 + bx + c

To find the price at which the maximum number of shirts is sold, we need to locate the vertex of the quadratic function. The x-coordinate of the vertex can be found using the formula:

x = -b / (2a)

In this case, a = -4 and b = 80. Plugging in these values, we can calculate the x-coordinate:

x = -80 / (2*(-4))

x = -80 / (-8)

x = 10

Therefore, the designer will sell the maximum number of shirts at a price of $10. Hence, the correct option is c) $10.

Answer:

I believe that the answer is D: 7