A 22 foot tree casts an 8 foot shadow. How long is the diagonal distance from the ground on the top of the tree? Answer as a decimal rounded to the hundredths

Answer:

$172.35

Step-by-step explanation:

The computation of the amount need to pay for 795 gallons is shown below

Up to 500 gallons it charges $0.15 per gallon

And, for more than 500 gallons till 1000 gallon, it charges $0.33 per gallon

So for 795 gallon, the total amount would be

= 500 × $0.15 - (795 - 500) × $0.33

= $75 + $97.35

= $172.35

Answer:

16

Step-by-step explanation:

The distance from the midpoint to \(K\) is \(|-6-2|=8\).

By definition, this is half the length of \(\overline{JK}\), meaning \(JK=16\).

To maximize the amount of peaches produced by the orchard, the peach orchard owner should plant a certain number of trees per acre. The per-tree yield is given by the equation Y = 1200 - 15x, where Y represents the yield per tree and x represents the number of trees planted per acre.

To find the number of trees per acre that maximizes the crop yield, we need to determine the value of x that corresponds to the vertex of the equation. The vertex of a downward-opening parabola, represented by the given equation, occurs at the x-coordinate given by x = -b / (2a).

In this case, the coefficient of x is -15 and the constant term is 0, so b = 0 and a = -15. Substituting these values into the formula, we get x = -0 / (2 * -15) = 0.

While the mathematical calculation suggests that planting zero trees per acre would maximize the yield, this result is not practical. Therefore, the closest feasible value greater than zero would be 1 tree per acre.

For 1 tree per acre, substituting x = 1 into the equation, we find that each tree would produce a yield of Y = 1200 - 15 * 1 = 1185 peaches. Consequently, the resulting total yield would be 1185 peaches per acre.

Number of trees per acre: 1 tree per acre

Total yield: 1185 peaches per acre

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The length of the straw is 3.74 inches.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

In rectangular box,

Length (l) = 2 inches

Width (w) = 1 inches

Height (h) = 3 inches

Here, The straw is said to fit into the box diagonally from the bottom.

So, the length (s) of the straw is calculated as:

⇒ s = √ l² + w² + h²

⇒ s = √ 2² + 1² + 3²

⇒ s = √ 4 + 1 + 9

⇒ s = √ 14

⇒ s = 3.74 inches

Thus, The length of straw = 3.74 inches

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The length of the straw will be 3.7416  inches long in radical form.

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula : X²=l²+b²+h²

Here,

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 2 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X²=14

X=√14

i.e. X=3.7416

We get, X= 3.7416 (in radical form)

Hence, the length of the straw will be  5.91607 inches.

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If A = \(PDP^{-1}\), Then \(A^{k}\) = \((PDP^{-1}) ^{k}\) = \(PDP^{-1}\)\(PDP^{-1}\) .....\(PDP^{-1}\) = \(PD^{k} P^{-1}\)since \(P^{-1}\) P = I, the identity matrix.

Further, the representation can be made as in the following attachment.

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The triangles ABC and DEF are similar triangles, but DEF is twice as big as ABC.

What does it signify when two triangles are similar?

Congruent triangles are triangles that share similarity in shape but not necessarily in size. All equilateral triangles and squares of any side length serve as illustrations of related objects.

                        Or to put it another way, the corresponding angles and sides of two triangles that are similar to one another will be congruent and proportionate, respectively.

How do the sizes of the circles compare?

Given the triangles ABC and DEF

From the figure, we have

AB = 1

DE = 2

This means that the triangle DEF is twice the size of the triangle ABC

Are triangles ABC and DEF similar?

Yes, the triangles ABC and DEF are similar triangles

This is because the corresponding sides of  DEF is twice the corresponding sides of triangle ABC

How can you use the coordinates of A to find the coordinates of D?

Multipliying the coordinates of A by 2 gives coordinates of D.

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4p+5=32 or 7 packages

I got this because there are 4 bracelets in one package and she doesn't know how many packages she needs so we put p for packages next to the 4 and you already have 5 so you add the 5 to it, all of that should come out to 32. If the equation wasn't what you were looking for you subtract 5 from 32 and get 27, then you divide 4 by 27 and you get 6.75, then you round it up and you get 7. The number of packages she needs is 7.

A bell-shaped probability distribution that is symmetrical about its mean is the student's t-distribution. In the following situations, it is thought to be the distribution that should be used to build confidence intervals when working with little samples that have fewer than 30 components if it is unclear what the population variance is.

When the involved distribution is either normal or nearly normal.

A t-distribution is used to test the following in addition to being used to build confidence intervals:

Individual population mean

The variations in two population means.

The average variation among paired (dependent) populations.

The correlation coefficient for the populace.

If the sample size is high enough for the central limit, a t-distribution may still be viable for usage even in the absence of explicit normality for a specific distribution theorem that must be used. In this scenario, the distribution is regarded as roughly normal.

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Answer:

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

Use the formula for simple interest:

where:

Substituting the given values into the formula, we get:

Therefore, the rate of interest per year is 8%.

The initial pressure is increased, the final volume will decrease, and if the initial pressure is decreased, the final volume will increase, assuming that the temperature remains constant.

Boyle's law states that at constant temperature, the pressure and volume of a gas are inversely proportional to each other. Mathematically, this can be expressed as:

Where P1 and V1 are the initial pressure and volume of the gas, and P2 and V2 are the final pressure and volume of the gas, respectively.

To obtain an equation for the final volume of a gas from its initial volume when the pressure is changed at constant temperature, we can rearrange Boyle's law equation as follows:

In this equation, we have isolated V2 on one side of the equation by dividing both sides by P2, which gives us the ratio of the initial pressure to the final pressure (P1/P2), and then multiplying it by the initial volume (V1).

So, the final equation for the final volume of a gas from its initial volume when the pressure is changed at constant temperature is:

The first step is simply to rearrange Boyle's law equation, and the second step is to explain the resulting equation. The equation shows that the final volume of a gas (V2) is proportional to the initial volume of the gas (V1) and the ratio of the initial pressure (P1) to the final pressure (P2).

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Answer:

30 of the 15 cent stamps and 50 of the 25 cent stamps

Step-by-step explanation:

Create a system of equations, where x is the number of 15 cent stamps and y is the number of 25 cent stamps:

x + y = 80

0.15x + 0.25y = 17

Solve by substitution by rearranging the first equation:

x + y = 80

x = 80 - y

Substitute 80 - y as x into the second equation:

0.15x + 0.25y = 17

0.15(80 - y) + 0.25y = 17

12 - 0.15y + 0.25y = 17

12 + 0.1y = 17

Solve for y:

0.1y = 5

y = 50

Plug in 50 as y into the first equation, and solve for x:

x + y = 80

x + 50 = 80

x = 30

So, you bought 30 of the 15 cent stamps and 50 of the 25 cent stamps

answer: ten 15¢ stamps and forty 20¢ stamps.

Step-by-step explanation:

because i just took the quiz

Part A: the probability that a cow produces between 2.0 and 2.5 gallons is approximately 0.6826.

Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need additional information about the correlation or independence of the milk volumes of the 20 cows.

Part A: To calculate the probability that a randomly selected cow produces between 2.0 and 2.5 gallons in a single milking session, we can use the normal distribution. We calculate the z-scores for the lower and upper bounds and then find the area under the curve between these z-scores. Using the mean of 2.3 gallons and standard deviation of 0.96 gallons, we can calculate the z-scores as (2.0 - 2.3) / 0.96 = -0.3125 and (2.5 - 2.3) / 0.96 = 0.2083, respectively. By looking up these z-scores in the standard normal distribution table or using a calculator, we can find the corresponding probabilities.

Part B: To calculate the probability that the total volume for one milking session for 20 cows exceeds 50 gallons, we need to consider the distribution of the sum of 20 independent normally distributed random variables. We can use the properties of the normal distribution to find the mean and standard deviation of the sum of these variables and then calculate the probability using the normal distribution.

Part C: Yes, we needed to know that the population distribution of milk volumes per milking session was normal in order to complete Parts A and B. The calculations in both parts rely on the assumption of a normal distribution to determine the probabilities. If the distribution were not normal, different methods or assumptions would be required to calculate the probabilities accurately.

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The length of the deep end is 12 feet of the swimming pool.

Given: Area of the swimming pool is 210 square feet

Width of the pool = 10 feet

The length of the shallow end is 9 feet and the length of the deep end is d.

To find the value of d.

Let's solve the problem.    

The area of the swimming pool is 210

The width is 10

The deep end length is d

The shallow end length is 9

The total length of the swimming pool = The length of the deep end + The length of the shallow end

=> d + 9

Therefore, the total length of the swimming pool is d + 9

The surface of the swimming pool is rectangular, so

The area of rectangle = width × length

Therefore,

area of swimming pool = width of the pool × length of the swimming pool

=> 210 = 10 × (9 + d)

or 10 × (9 + d) = 210

Dividing both sides by 10:

10 × (9 + d) / 10 = 210 / 10

9 + d = 21

Subtracting 9 on both sides:

9 + d - 9 = 21 - 9

d = 12

Therefore the length of the deep end is 12 feet

Hence the length of the deep end is 12 feet of the swimming pool.

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The length of the deep end of the swimming pool is 12 feet.

We are given that:

The Area of the swimming pool = 210 square feet

width of the swimming pool = 10 feet

Length of shallow end = 9 feet

Let the length of the deep end be d.

Total length of the swimming pool = length of deep end + length of shallow end =  d + 9

Area of swimming pool = width × length

Substituting the values, we get that:

210 = 10 × (9 + d)

9 + d = 21

d = 12

Therefore the length of the deep end of the swimming pool is 12 feet.

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The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer: the quotient is 957.07 x 10^4 which is equivalent to 957,070

Step-by-step explanation:

Now the angle in the degree is,

Answer:

1/2 2/4 4/8

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

If 8 cents=10 pebbles then do 205 divided by 10 which is 20.5 . So, 8×20.5=164 dollars.

(8×20.5=164) 8 cents=10 (10×20.5=205)

164 dollars=205

Therefore,the answer is 164 dollars.

hope this helps,have a great day!!

~Pinky~

Answer: 28 oz

Step-by-step explanation:

for every batch, you will need 0.8 ounces.

so one way to solve this is to add 0.8 35 times to get the final answer.

However, repeated addition is the same as multiplication. you can simply evaluate 0.8 * 35 = 28 oz

thats the answer!

The least cοmmοn denοminatοr οf the fractiοn is 24.

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).

We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr

8 = 2*2*2

12=2*2*3

Nοw LCD = 2*2*2*3 = 24.

Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.

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Answer: 2.83

Step-by-step explanation:

2.66+1.85+2.66 = 7.17

10.00 - 7.17 = 2.83

If radius of sphere B is 5times radius of sphere A, then ratio of volume of sphere B to volume of sphere A is 125 , the correct answer is (c) .

Let the radius of the sphere B = r₁ , and

Let the radius of the sphere A = r₂ ;

So , The ratio of the volume of sphere B to the volume of sphere A is written as :

⇒ (Volume of sphere B)/(Volume of sphere A) = (4/3)πr₁³/ (4/3)πr₂³ ;

Simplifying the expression,

We get ,

⇒ (Volume of sphere B)/(Volume of sphere A) = (r₁/r₂)³ ,

It is given that the radius of sphere B is 5 times the radius of sphere A, which means that , r₁ = 5r₂ ,

Substituting the radius in the expression above,

We get ,

⇒ (Volume of sphere B)/(Volume of sphere A) = (5r₂/r₂)³ = (5)³ = 125 ;

Therefore, the ratio of volume of sphere B to sphere A is (c) 125.

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The given question is incomplete , the complete question is

If the radius of sphere B is 5times the radius of sphere A, then the ratio of the volume of sphere B to the volume of sphere A is

Select one:

(a) 0.008

(b) 25

(c) 125

(d) 5

(e) 0.2

a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

Where we have a, b, and c as constants of the equation, ax + b = c, and the variable is x, we can solve for the value of x as shown below:

ax + b = c

Subtract b from both sides

ax - b = c - b

ax = c - b

Divide both sides by a

ax/a = c/a - b/a

x = c/a - b/a

x = (c - b)/a

b. 3x + 7 = 19

a = 3, b = 7, and c = 19

Substitute a = 3, b = 7, and c = 19 into x = (c - b)/a

x = (19 - 7)/3

x = (12)/3

x = 4

x - 1 = 5

a = 1, b = -1, and c = 5

Substitute a = 1, b = -1, and c = 5 into x = (c - b)/a

x = (5 - (-1))/1

x = 6/1

x = 6

In summary, we have:

a. the equation of the formula in terms of x is: x = (c - b)/a

b. x = 4 and x = 6

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Answer:

2x² - x - 6

Step-by-step explanation:

(x - 2)(2x + 3)

each term in the second factor is multiplied by each term in the first factor, that is

x(2x + 3) - 2(2x + 3) ← distribute parenthesis

= 2x² + 3x - 4x - 6 ← collect like terms

= 2x² - x - 6

Answer:

2(2x+5)

Step-by-step explanation:

Length of the rectangle=l= 3x

Breadth of the rectangle=b= 5

Perimeter= 2(l+b)

= 2(3x+5)

3⁴= 3×3×3×3= 81

3⁵= 3×3×3×3×3= 243

hope it helps! please mark me brainliest

thank you!! have a good day ahead..

Answer:

this is 3⁴= 81 and 3⁵= 243

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

To calculate the probability that more than 72% of the sampled UCF students will vote in the presidential election, we need to use the normal distribution approximation since the sample size is large.

First, we find the mean (μ) and standard deviation (σ) of the sampling distribution using the given population proportion (p) of 0.70 and the sample size (n) of 1250:

μ = p = 0.70

σ = √(p(1-p)/n) = √(0.70 * 0.30 / 1250) ≈ 0.012

Next, we need to standardize the desired proportion of more than 72% (0.72) using the z-score formula:

z = (x - μ) / σ

z = (0.72 - 0.70) / 0.012 ≈ 1.67

Now, we can find the probability using the standard normal distribution table or calculator. The probability that more than 72% of the sampled students will vote in the presidential election is the area under the curve to the right of the z-score of 1.67.

Using the standard normal distribution table or calculator, we find that the probability is approximately 0.0475.

Therefore, the probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0475 or 4.75%.

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The transformation that would produce an image with vertices B"(-2, 1), C"(3, 2), D"(0, -1) from the original vertices B(-3,0), C(2, -1), D(-1, 2) is the transformation (x,y) → (X + 1, y + 1).

By applying the transformation (x,y) → (X + 1, y + 1), each point's x-coordinate is shifted one unit to the right (X = x + 1), and each point's y-coordinate is shifted one unit upward (Y = y + 1). This results in the image with the given coordinates B"(-2, 1), C"(3, 2), D"(0, -1).

The other transformations listed do not match the given image coordinates and would not produce the desired result.

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Answer:

(x, y) → (x, −y) → (x + 1, y + 1)

Step-by-step explanation:

Reflect the vertices over the x-axis by applying the transformation (x, y) → (x, -y):

B'(-3, 0) → B'(-3, 0)

C(2, -1) → C(2, 1)

D(-1, 2) → D(-1, -2)

Translate the reflected vertices by (1, 1):

B'(-3, 0) → B″(-3 + 1, 0 + 1) → B″(-2, 1)

C(2, 1) → C″(2 + 1, 1 + 1) → C″(3, 2)

D(-1, -2) → D″(-1 + 1, -2 + 1) → D″(0, -1)

So, the correct sequence of transformations is:

(x, y) → (x, -y) → (x + 1, y + 1)

(Image provided for more proof)

Answer:

200points

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