A mudslide left 42 acre-feet of mud in a valley. The mud is being
removed at the rate of 5 acre-feet per day.

Answer:

22 length is the answer

Answer:

Hope it helps you

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The perimeter of the composite figure would be = 21 (to the nearest tenth).

Perimeter is defined as the quantity that is used to evaluate the total length of the sides of an object.

From the given diagram, the composite figure is made up of 6 sides. The addition of these sides is the figures perimeter.

The sides of the composite figure are:

a = 6; b = 12; c = 9; d = 9; e = -9; f = -6.

The perimeter = a + b + c + d + e + f.

= 6 + 12 + 9 +9+ (-9) + (-6)

= 27 - 6

= 21 ( to the nearest tenth)

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Do you do flvs?

Answer:

We can use the Pythagorean theorem to solve this problem. Let's assume that Cari's house is at point A, the airport is at point B, and her grandparents' house is at point C. We know that the distance from A to B is 45 miles and the distance from A to C is 45 miles. We want to find the distance from B to C, which we can call x.

We can form a right triangle with sides AB, AC, and BC. The distance we want to find, x, is the length of the hypotenuse of this triangle (side BC).

Using the Pythagorean theorem, we know that:

AB^2 + AC^2 = BC^2

Substituting in the values we know:

45^2 + 45^2 = x^2

Simplifying:

2025 + 2025 = x^2

4050 = x^2

Taking the square root of both sides:

x = sqrt(4050)

x is approximately equal to 63.64 miles (rounded to two decimal places).

Therefore, the direct distance from the airport to Cari's grandparents' house is approximately 63.64 miles.

a) The value of k for the systematic sample is given as follows: k = 114.

b) The individuals are: 1, 2, 3, 4, 5.

In a systematic sample, every kth element of the sample out of a sample of n elements is taken.

In this problem, we have a total of 5705 employees, and want a systematic sample of 50 employees, hence the value of k is obtained as follows:

k = 5705/50 = 114.

(rounding the value down to the nearest integer, we just divide the number of people by the sample size to obtain the value of k).

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The expected value of the cardinality of a randomly chosen subset is n^2 / 2^n. To find the expected value of the cardinality of a randomly chosen subset, we need to consider the probabilities of selecting subsets with different cardinalities.

Let's consider a set with n elements. The total number of subsets of this set is 2^n, including the empty set and the set itself. Among these subsets, the number of subsets with cardinality n is C(n, n) = 1, and the number of subsets with cardinality n - 1 is C(n, n-1) = n.

The probability of selecting a subset with cardinality n is P(n) = 1/2^n, since there is only one subset with n elements out of the total 2^n subsets. The probability of selecting a subset with cardinality n - 1 is P(n - 1) = n/2^n, as there are n subsets with n - 1 elements out of the total 2^n subsets.

Now, let's calculate the expected value of the cardinality of the chosen subset:

E(X) = n * P(n) + (n - 1) * P(n - 1)

Substituting the probabilities we found:

E(X) = n * (1/2^n) + (n - 1) * (n/2^n)

Simplifying further:

E(X) = n/2^n + (n^2 - n)/2^n

Combining like terms:

E(X) = (n + n^2 - n)/2^n

Simplifying the numerator:

E(X) = n^2 / 2^n

Therefore, the expected value of the cardinality of a randomly chosen subset is n^2 / 2^n.

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Answer:

there is no choices but i can tell you some

as a decimal 0.429

6/14

12/28

multiply it by two every time

Step-by-step explanation:

Answer: 6.35444444×10^13 gallons

Step-by-step explanation:

So a dishwasher uses 444 gallons of water per load.

That means it'll use 444*215215215 = 95555555460 gallons of water for 215215215 loads

Since washing dishes by hand takes 666 as much as water in comparison to using a dishwasher, we can do 95555555460x666 to find that you need 6.36399999×10^13 gallons of water to wash 215215215 loads.

The question asks for how much more water in gallons you can save, so do 6.36399999×10^13 - 95555555460 to get 6.35444444×10^13 gallons

I think that you mistyped the numbers regarding this question. Based on some similar questions I have seen, did you mean to say "4 gallons", "6 times" and "215 loads"? If so, here is the solution I came up with and my reasoning.

_________________________________________

We are given the following information:

This information being given we work through the steps as follows:

1. First, multiply 4 by 215.

\(4\) × \(215=860\)

2. Now, multiply 860 by 6.

\(6\) × \(860 = 5,160\)

3. Finally, take 5,160 and subtract it by 860.

\(5,160-860=4,300\)

Hence, our solution would be \(4,300\).

Hope this helps!

Since t cannot be infinity in this case, we conclude that there is no maximum number of items that the worker can produce according to the function.

The number of items produced on the first day can be found by substituting t = 1 into the function P(t):

P(1) = 24 - 24e^(-0.3*1) = 13.24 (rounded to two decimal places)

To find the maximum number of items that the worker can produce, we can take the derivative of the function P(t) with respect to t and set it equal to zero:

P'(t) = 24e^(-0.3t)(0.3) = 7.2e^(-0.3t)

7.2e^(-0.3t) = 0

e^(-0.3t) = 0

t = infinity

However, we can see that as t approaches infinity, P(t) approaches 24. So, we can say that the worker can approach but never exceed 24 items.

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Multivariable calculus in college is generally more challenging than AP Calculus BC due to the additional complexity of working with functions of several variables.

Multivariable calculus in college typically goes beyond the content covered in AP Calculus BC in high school. While both cover calculus concepts, multivariable calculus adds the complexity of working with functions of several variables, including partial derivatives, multiple integrals, and vector calculus. As a result, the difficulty level of multivariable calculus in college can be significantly higher than AP Calculus BC. However, this can vary depending on the individual student and the rigor of their high school AP course.

AP Calculus AB and BC are two levels of Advanced Placement calculus courses typically offered in high school.

AP Calculus AB covers a wide range of calculus topics including limits, derivatives, integrals, applications of derivatives and integrals, and the Fundamental Theorem of Calculus. The focus is on single-variable calculus, meaning students work with functions of one variable.

AP Calculus BC, on the other hand, covers all the topics included in AB as well as additional concepts such as parametric, polar, and vector functions, series, and sequences. The course is designed to be more challenging and covers more advanced topics in calculus, including applications of calculus in physics and engineering.

Overall, AP Calculus BC is considered to be a more rigorous course than AP Calculus AB, but both courses prepare students for college-level calculus.

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Answer:

0.251

Step-by-step explanation:

for a normal distribution question, we need to use the z-score formula for finding the area (probability).

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (4 - 5) / 1.5

= -0.67

in the z-table, find -0.6 down the side column and 0.07 on the top row. the number in the table where these two meet is 0.25143. this is the area to the left of z = -0.67. this is what we want for this question since we want an orange that weighs less than 4oz.

that means that the probability is 0.251 to nearest thousandth

a. The width of the gap is 2cm

b. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

Length of A = 3/8 × 64cm

Length of A = 24cm

Given that the volume of B and C is the same, then:

total length of B and C = 64cm - 24cm

total length of B and C = 40cm

length of B = 20cm and length of C = 20cm

a. The width of the gap in the stool is calculated by subtracting the width of B and C from the length of A

24cm - 22cm = 2cm

b. 20 completed stools can be stacked either standing or by it sides, so they can be stacked in two ways.

height of stacking 20 stools standing = 20 × (20 + 11)cm = 620cm

height of stacking 20 stools by its side = 20 × 24cm = 480cm

620cm = 6.2m

480cm = 4.8m

Therefore, the width of the gap is 2cm. There are two ways Mr Goh can stack up 20 completed stools. And the lowest possible height is 4.8 metres.

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Answer:

Dimensions are 20 + 20 + 40 + 40

Step-by-step explanation:

If the transformation is written in the form y = a(x - p)² + q, the values of a, p, and q include the following: a = 2, p = -4, q = 3.

Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:

y = a(x - h)² + k.

Where:

Based on the information provided about the parabola, we have the following:

Scale factor, a = 2.

Vertical translation upward, q = 3.

Horizontal translation to the left, p = -4.

Therefore, the equation becomes;

y = a(x - h)² + k.

y = a(x - (-4))² + 3.

y = a(x + 4)² + 3.

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(1/4)x + y = 2

Standard form is simply ax + by = c

All the above can represent stable interhalogen compounds. Interhalogen compounds are formed when different halogens combine with each other.

The general formula for interhalogen compounds is given by XYn, where X and Y represent different halogens, and n represents the number of Y atoms bonded to the X atom. The interhalogen compounds can have different stoichiometries, resulting in different values of n. Therefore, all the given formulas, XY, XY2, XY3, and XY5, can represent stable interhalogen compounds, depending on the specific combination of halogens and their bonding arrangements.

Hence, none of the given formulas does not exist for interhalogen compounds, as all of them can be valid representations of stable interhalogen compounds.

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Answer:

5.6

Step-by-step explanation:

(3÷3/4)÷5/7

\( \frac{3 \times 4}{3} \div \frac{5}{7} \)

\(4 \div \frac{5}{7} \)

\(4 \times \frac{7}{5} \)

\( \frac{28}{5} \)

=5.6

use "keep, change, flip " when dividing a number by a fraction.

keep the whole number

flip the divide sign to multiply

change the placement of number e.g. 5/7 becomes 7/8

then solve

Answer:

-15

Step-by-step explanation:

if its just asking for what number would represent a loss of 15 it would be negative 15

i dont know if there's more to the problem or not

Answer:

-15

Step-by-step explanation:

This is because whatever much water was in the tank is now decreasing by 15, therefore, you can write it as -15,

hope this helps!

Answer: 3\(\sqrt{5}\)

Step-by-step explanation:

as you see c is the hypotenuse of the triangle that has two of the side 6 and 3

c^2=a^+b^2

c^2= 3^2+6^2

c^2=9+36

c^2=45

c= \(\sqrt{45}\)=3\(\sqrt{5}\)

Answer:

x = +4 , -4

Step-by-step explanation:

    x² - 16 = 0

           x² = 16

           \(\sf x = \sqrt{16}\\\\x = \sqrt{4*4}\\\\\)

          x = ±4

Answer:

im not sure but i think its a bargraph if the answer is coreect please tell

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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Answer:

'''A ray has one endpoint and extends indefinitely in one direction. A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. Rays are always named with two points and the first point in the name must be the endpoint.'''

Answer:

Step-by-step explanation:

Five more than the product of 21 and Gail's savings:

Answer:

Geometric.

Step-by-step explanation:

It is Geometric because there is a common ratio between the terms.

50p/100p = 1/2

25p/50p = 1/2

The common ratio is 1/2.

Each term is obtained by multiplying by 1/2, so the next term in this progression is 25p * 1/2 = 12.5p.

Answer:

1

Step-by-step explanation:

Hopefully this is right!

Answer:

0

Step-by-step explanation:

I think.......

margin of error = z* * sqrt(pq/n) = 1.55 * sqrt(0.150.85/280) ≈ 0.056

Rounded to 3 decimals, the margin of error is 0.056.

The 88% confidence interval for the percent of men in the general population who are color blind is:

p ± margin of error = 0.15 ± 0.056

Lower Bound: 0.15 - 0.056 = 0.094

Upper Bound: 0.15 + 0.056 = 0.206

Rounded to 3 decimals, the 88% confidence interval is (0.094, 0.206).

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