Chelsea is filling a kiddie pool with water. For every
9
9
gallons of water she uses the pool fills
4
4
inches high.

If Chelsea wants to fill the pool to
15
15
inches, how many gallons of water will she use?

Chelsea will use

Answer:

The suggestion proposed considering special cases, so that’s what we’ll do.

One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.

So if we do manage to get a general formula, we will be able to check it in these special cases.

Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)

Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.

If we recall our answer from that problem, we find the formulae for the surface area

π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.

Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.

Step-by-step explanation:

Answer: no

Step-by-step explanation:

Answer:

He can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.

Step-by-step explanation:

Given that Harry’s TV plan cost $ 49.99 per month plus $ 3.49 per first run movie, to determine how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of $ 100, the following calculation must be performed:

100 - 49.99 = 50.01

50.01 / 3.49 = X

14.32 = X

49.99 + (3.49 x 14) = 98.85

Thus, he can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.

Answer: 4.5

Step-by-step explanation:

[tex]5(2x+1)=50\\\\2x+1=10\\\\2x+9\\\\x=\boxed{4.5}[/tex]

9514 1404 393

Answer:

  8/7

Step-by-step explanation:

  [tex]\displaystyle\left(\frac{g}{f}\right)(-2)=\frac{g(-2)}{f(-2)}=\frac{7(-2)-2}{-2(-2)^2+3(-2)}\\\\=\frac{-16}{-8-6}=\boxed{\frac{8}{7}}[/tex]

Answer:

the answer is 8/7

Step-by-step explanation:

:)))))

Answer:

• 25%

• Drama movie

Step-by-step explanation:

• Total number of children

= 16 +12 +18 +20 +14

= 80

Percentage of children that voted for action movie

[tex] = \frac{no. \: of \: children \: that \: voted \: for \: action \: movie}{total \: number \: of \: children} \times 100\%[/tex]

[tex] = \frac{20}{80} \times 100\%[/tex]

[tex] =\textbf{25\%}[/tex]

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

• Total number of votes

= 30 +32 +36 +36 +26

= 160

20% of total votes

= 20% ×160

= 32 votes

Since Drama movie received 32 votes, it received 20% of the total votes.

Answer: to move a graph up c units, add c to the whole function

so basicaly what you did is you subtraced 3 from the whole function

the whole graph shifts 3 units down

B is answer

Step-by-step explanation:

Answer:

CE= 17.59

Step-by-step explanation:

Arc Length=central angle/ 360 (circumference)

CE= 112/ 360 (2π9)

CE= 17.59

Answer:

2y = 7

y = 3 1/2

Step-by-step explanation:

Answer:

90-35=55

x=55

Step-by-step explanation:

Answer:

x = 55

Step-by-step explanation:

x and 35 must = 90 degrees because of the Angle Addition Postulate. So if you subtract 90 and 35, you get x.

Answer:

(8,3)

Step-by-step explanation:

Hello There!

This is the rule for reflection over y axis:

(x,y) -----> (-x,y)

So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip

So instead of -8 it would be +8

The y value does not change so the new coordinates would be

(8,3)

Answer:

35

Step-by-step explanation:

Answer:

[tex]x = 75[/tex]

Step-by-step explanation:

Given

See attachment

Required

The value of x that makes l and m parallel

Let the angles be ABC (See attachment 2)

[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:

[tex]\angle CAB=50[/tex]

[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:

[tex]\angle ABC = 55[/tex]

This means that:

[tex]\angle ABC + \angle CAB + x = 180[/tex]

[tex]50 +55 + x = 180[/tex]

Solve for x

[tex]x = 180 - 50 - 55[/tex]

[tex]x = 75[/tex]

Answer:

11.7

Step-by-step explanation:

First HK can be found via Pythagorean Theorem

6^2 + 10^2 = 36 + 100 = 136

The square root of 136 is (rounded to the nearest tenth): 11.7

GJ is congruent to HK

GJ = 11.7

Answer:

b. As the sample size â increases, the variance of decreases. â So, the distribution of becomes highly concentrated around.

Step-by-step explanation:

Let : Yi,.... Yn are = i.i.d are random variables. The probability density of the distribution varies along with the sample size. When the sample size changes, the probability density of [tex]$E^3$[/tex] also changes.

The probability distribution may be defined as the statistical expression which defines the likelihood of any outcome for the discrete random variable and it can be opposed to the continuous random variable.

In the context, when the size of the sample of the distribution size increases, it causes a decrease in the variance and so the distribution becomes highly concentrated around.

Answer:

80°

Step-by-step explanation:

In rhombus, opposite angles are equal. i.e <KET = <KIT

Triangle KET is isoceles, which means both parts of angle E are equal.

Angle E = 40 + 40

Angle E = 80

If angle E is 80 than Angle I is also 80.

Answer:

there isnt a question... what do you need help with?

Answer:

.-. >_>

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 36u^6-12u^3v + v^2

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

144

Step-by-step explanation:

A square room has all sides the same length

the perimeter is the length of the sides (which are the same length) therefore dividing it by 4 to get the length of 1 side multiplied by itself will give us the area to be covered.

rectangle for sure my teacher told me

The number of gallons of liquid that Courtney bought is 2 gallons.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given that,

Amount of milk bought = 2 quarts

Amount of orange juice bought = 4 quarts

Amount of apple juice bought = 2 quarts

Total amount of liquid bought = 2 + 4 + 2 = 8 quarts

We have the conversion,

1 quart of liquid = 0.25 gallon of liquid

Total amount of liquid bought in gallons = 8 × 0.25 = 2 gallons

Hence the total amount of liquid bought is 8 gallons.

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Answer: 44

Step-by-step explanation:

180-68-68 = 44

Answer:

11

Step-by-step explanation:

f(x)=3x+8

f(1)=3(1)+8

f(1)=3+8

f(1)=11

Answer:

The anwser is 11

Step-by-step explanation:

You just replace x with 1, and solve, so it would be 3(1) + 8, which is 11.

Answer:

E

Step-by-step explanation:

Answer:

The answer is -0.828

Step-by-step explanation:

I took the quiz and i gt this question correct, hope it helps!

The r-value of the given data is 0.374.

The correlation coefficient, denoted as r, is a statistical measure that describes the strength and direction of the linear relationship between two variables.

It ranges between -1 and +1, where -1 indicates a perfect negative correlation (inverse relationship), +1 indicates a perfect positive correlation (direct relationship), and 0 indicates no correlation between the variables.

We have,

First, we need to find the correlation coefficient (r) of the given data.

We can use the following formula to do this:

r = [n∑(xy) - (∑x)(∑y)] / [√{n∑x² - (∑x)²} √{n∑y² - (∑y)²}]

where n is the number of data points, x, and y are the respective variables, and ∑ denotes the sum of the values.

Using the given data, we can calculate the values as follows:

n = 5

∑x = 39

∑y = 53

∑(xy) = 442

∑x^2 = 483

∑y^2 = 1249

Substituting these values into the formula, we get:

r = [5(442) - (39)(53)] / [√{5(483) - (39)^2} √{5(1249) - (53)²}]

r = [2210 - 2067] / [√(2415) √(5660)]

r = 143 / (61.898 75.245)

r = 0.374 (rounded to three decimal places)

Therefore,

The r-value of the given data is 0.374.

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Answer:

Surface area = 24 in.²

Step-by-step explanation:

Surface area of the cube = 6a²

Where,

a = length of the each side of the cube = 2 in.

Plug in the value into the formula

Surface area of the cube = 6(2²)

= 6 × 4

Surface area = 24 in.²

Answer:

r ≈ 2.5

Step-by-step explanation:

98 = 5(πr^2)

divide 5 by both sides

19.6 = πr^2

divide π by both sides

6.2388 = r^2

square root both sides

r = 2.49777

r ≈ 2.5

Answer:

The Ming Dynasty contributed significantly to the fields of culture, science, and technology. Moreover, textiles and mining industries also flourished during this time. Towards the end of the Ming Dynasty, a capitalist production system was gradually developing. The Ming Dynasty achievements resulted in many entrepreneurs readily seizing economic development opportunities building the great wall. One of the most significant Ming Dynasty achievements in engineering is the completion and repair of the Great Wall. Ming, The restoration of the Grand Canal was also an important achievement of this era. A wide range of machinery and equipment from which silk and cotton looms were made were invented during this era.  Dynasty achievements also included significant contributions in the fields of philosophy, art, and literature. The Forbidden City, Beijing, was an essential architectural achievement that was also constructed during this era.

The famous white and blue porcelain of China originated in the era of the Ming Dynasty.

Step-by-step explanation:

The Ming Dynasty (1368-1644) was a period of great artistic and cultural achievements in China.

In China, the Ming dynasty was a time of great cultural and artistic flourishing, with significant contributions to literature, philosophy, and the arts.

Here are some of the Ming dynasty's achievements in the arts, philosophy, and literature:

Thus, these are the accomplishments in the arts, philosophy, and literature during the Ming dynasty learn from the Ming Dynasty.

For more details regarding Ming Dynasty, visit:

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Answer:

D) The revised interval is wider than the original interval because the corect sample proportion is closer to 0.5 than the mis-calculated proportion is.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The larger the closer to 0.5 the value of [tex]\pi[/tex], the larger the margin of error and the wider the interval is.

A biologist studying trees constructed the confidence interval (0.14, 0.20)

This means that the estimate used was of:

[tex]\pi = \frac{0.14 + 0.2}{2} = \frac{0.34}{2} = 0.17[/tex]

The correct sample proportion was 0.27.

With [tex]\pi = 0.27[/tex], the margin of error is larger as 0.27 is closer to 0.5 than 0.17. Thus, the revised interval will be wider, and the correct answer is given by option D.

Answer:

Dominic can only make one smoothie considering he only has one full cup of yogurt.

Step-by-step explanation:

1.5(yogurt he has)-1.0(yougurt needed)=.5(leftover yogurt)