a weather balloon floats into the sky from a valley. It starts at an elevation of -7 1/4 feet and floats up to an elevation of 88 6/8 feet before getting stuck at the top of a tree. How far did the balloon travel up

Answer:

-1

Step-by-step explanation:

6(x) - (3y + 7) - xy

6(5) - (3(3) + 7) - (5)(3)

30 - (9+7) - 15

30 - 16 - 15

-1

Hope this helps! Pls give brainliest!

Answer:

-1

Step-by-step explanation:

1. replace all the variables with the values it gives you-

6(5) - [ 3(3) + 7] - (5)x(3)

2. then if you combine everything using pemdas-

30 - (9 + 7) - 15

3. repeat step #2-

30 - 16 - 15

4. then solve-

30 - 16 = 14 then subtract 15 to give you -1

Answer:

Lol he got it in spanish

Step-by-step explanation:

Answer:

D. Square

Step-by-step explanation:

A square is a regular tessellation because a regular tessellation is a pattern made up of only one single shape placed in some kind of pattern.

Using cylindrical coordiantes system ,

the value of triple integral is 68.66π cubic units .

Cylindrical Coordinates System

Let x = rcos(θ) and y = rsin(θ). The upper bound of the solid is z = 16 - 4(x²+y²) = 16 - 4r² and the lower bound of the solid is z = 0. That is, z varies 0<z<16-4r².

and 0=16-4(x² + y²) yields x² + y²=4 which shows that the projection of the solid into the xy- plane is the circular region with radius 2, i.e., 0< r < 2 and 0< θ< 2π.

so, volume will be dV = r dr dθ dz

Therefore, the triple integral can be looks like that

I = ₀∫²ᵖᶦ ₀∫² ₀∫¹⁶⁻⁴⁽ˣ²⁺ʸ²⁾ 2 r²dz dr dθ => I = ₀∫²ᵖⁱ ₀∫²[ 2r²(16-4r² ) - 2r²×0 ]dr dθ

=> I = ₀∫²ᵖᶦ₀∫²(32r² - 8r⁴)dr dθ

=> I= ₀∫²ᵖᶦ( 32/3 r³ ⁻ 8/5 r⁵) limits varies from 0 to 2 dθ

=> I = ₀ ∫²ᵖᶦ ( 256/3 - 256/5 )dθ

=> I = ₀∫²ᵖᶦ 512/15 dθ

=> I = 512/15×2π = 68.66π

Hence, the value of triple integral is 68.66π cubic units .

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Complete question :

Use cylindrical coordinates to evaluate the triple integral

∭E√x2+y2 dV,

where E is the solid bounded by the circular paraboloid z=16−4(x2+y2) and the xy-plane.

Answer: the first option

Step-by-step explanation: if you dont want to spend more than 65 $ it is less than or equal to 65

The scores by Pittsburgh Steelers given the points scored by New Orleans Saints to be 32 is 10 points.

3x + 2 = 32

3x = 32 - 2

3x = 30

x = 30/3

x = 10 points

2.

Danielle's age + counselor = 28

x + 3x = 28

4x = 28

x = 28/4

x = 7

So,

Age of girls in Danielle's camp = x = 7 years

Age of counsellor = 3x

= 3(7)

= 21 years

3.

143.70 = 3(39.95) + x

143.70 = 119.85 + x

143.70 - 119.85 = x

x = $23.85

4.

Perimeter of pentagon = Length of each side × number of sides

7 = x × 5

7 = 5x

x = 7/5

x = 1.4 inches

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Answer:

For each number, there is a 1/6  probability of rolling it (so 1/6  for the 1 and also 1/6 for the 4).

This means that the probability of rolling either a 1 or a 4 on a given roll is  

1 /6 +   1 /6 = 2/6 = 1/3  

hope this answer helps you.....

Answer:

Is 1/6

Step-by-step explanation:

Answer:

c)462m

Step-by-step explanation:

If a person walks round the park, the person would be walking the whole perimeter of the trail

Perimeter = 2 x (length + breadth)

2 x (30m + 47m) = 154m

If he walks three times, the distance covered = 154m x 3 = 462m

Therefore , the solution of the given problem of interest comes out to be John will  receive $12.02 in interest after three years.

To calculate the simple interest rate, divide the amount by the funding cost, the amount of time left, and other variables. The easiest return strategy in marketing is principal student loan hours. This method of determining involvement is the easiest. In most cases, income is determined as a percentage of the beginning amount. For instance, if he asks any of these buddies for $100 but chooses to pay back the loan wit 5% of his salary.

Here,

We may use the compound interest calculation to determine the interest that John's savings account has accrued:

=>  A = P\((1 + r/n)^{nt}\)

In this instance, P is equal to $80, r is equal to 5%, or 0.05, n is one, and t is three years.

We thus have:

=> A = $80(1 + 0.05/1)^(1*3) = $92.02

We deduct the initial deposit from the total to determine the interest earned:

=>  Interest = $12.02 ($92.02 - $80).

John will therefore receive $12.02 in interest after three years.

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Answer:

x = -2/3, 1/3

Step-by-step explanation:

Step 1: Factor

(3x + 2)(3x - 1) = 0

Step 2: Find roots

3x + 2 = 0

3x = -2

x = -2/3

3x - 1 = 0

3x = 1

x = 1/3

Answer:

Step-by-step explanation:

factor ; (3x-1)(3x+2)=0

then make both 3x-1 and 3x+2 equal to 0

(3x-1)=0   solve        3x+2=0

+ 1      +1                        -2   -2

_______                  _______

3x = 1                       3x = -2

x =1/3                       x= -2/3

check for to make sure both solutions work by plugging back into the equation

The formula to calculate the distance between two points in the cartesian plane is the following:

replacing:

The distance between the two points is 7.94 units

Answer:

It is ( - 0.25)

Step-by-step explanation:

I hope that is useful for you :)

Answer:

It would be -0.25.

Step-by-step explanation:

it is a negative if a number is less than zero.

we got the first step down.

next step,

the -0.25 part.

the fraction of one fourth in decimal is 0.25

but its negative so it will be: -0.25.

So...

I hope this helps.      :)

The sequence of the original DNA molecule, read 5' to 3', is 3' CTGTCCTAG 5'.

The Sanger sequencing method is a technique used to determine the nucleotide sequence of DNA. In this method, the DNA molecule is fragmented into different lengths and each fragment is then replicated using DNA polymerase and a mixture of regular nucleotides and dideoxynucleotides (ddNTPs). The ddNTPs lack a 3' hydroxyl group, preventing further DNA chain elongation after their incorporation.

In the given chromatogram, the sequence trace reads 5' GTCACGGATC 3'. The sequence is read in the 5' to 3' direction, which means that the first nucleotide in the sequence corresponds to the 5' end of the original DNA molecule.

To determine the original DNA sequence, we need to complement and reverse the given sequence. The complementary base pairing rules state that adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G). Complementing the sequence gives us 3' CAGTGCCGTA 5'. Reversing this sequence yields the final result of 3' CTGTCCTAG 5', which represents the original DNA sequence read from 5' to 3'.

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Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

\(\:c=\sqrt{a^2+b^2}\)

substituting a=5, b=20

\(c=\sqrt{5^2+20^2}\)

\(c=5\sqrt{17}\)

\(c=20.6\) ft

Thus, the tree is 20.6 ft tall.

If he puts away 10% of his $32,000 salary every year, The total of his 401(k) be in 10 years is: a. $67,266.16.

First step

Contribution=(10% ×$32,000)+ 50% from employer

Contribution=$3,200+ ($3,200×50%)

Contribution=$3,200+$1,600

Contribution=$4,800

Second step

Future value= 4800 (1 + 0.073)^10 – 1/ 0.073

Future value= 4800 (1 .073)^10 – 1/ 0.073

Future value= 4800 (2.0230062274104 – 1) / 0.073

Future value= 4800 (1.0230062274104) / 0.073

Future value=$4,910.42989157/0.073

Future value=$67,226.16

Therefore the total of his 401(k) be in 10 years is: a. $67,266.16.

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Answer:a. $67,266.16.

Step-by-step explanation:edge

Step-by-step explanation:

remember, a negative exponent means 1/...

so,

3^-3 = 1/3³ = 1/27

Answer:

1/27

Step-by-step explanation:

The sample variance is an unbiased estimator of the population variance σ\(^2\), and that it cannot attain the Cramer-Rao lower bound unless n = 2.

To show that the sample variance is an unbiased estimator of the population variance σ\(^2\), we need to show that its expected value is equal to σ\(^2\). The sample variance \(S^2\) is defined as:

\(S^2\) = (1/n-1) Σi=1 to n (Xi - X\()^2\),

where X is the sample mean.

Taking the expectation of \(S^2\), we get:

E(\(S^2\)) = E[(1/n-1) Σi=1 to n (Xi - X\()^2\)]

= (1/n-1) E[Σi=1 to n (X\(I^2\) - 2XiX + \(X^2\))]

= (1/n-1) Σi=1 to n E[X\(|^2\) - 2XiX + \(X^2\)]

= (1/n-1) Σi=1 to n E[X\(I^2\)] - (2/n-1) E[\(X^2\)] + (1/n-1) E[\(X^2\)]

= (1/n-1) Σi=1 to n (σ\(^2\) + µ\(^2\)) - (2/n-1) (σ\(^2\)/n + µ\(^2\)) + (1/n-1) (σ\(^2\)/n^2 + µ\(^2\))

= [(n-1)/n] σ\(^2\).

Therefore, the expected value of \(S^2\) is [(n-1)/n] σ\(^2\), which is equal to σ\(^2\) when n > 1. Hence, the sample variance is an unbiased estimator of the population variance σ\(^2\).

To show that \(S^2\) cannot attain the Cramer-Rao lower bound, we need to show that there is no unbiased estimator of σ^2 whose variance is less than or equal to Var(S^2). Using the formula for the variance of S^2, we have:

Var(\(S^2\)) = Var[(1/n-1) Σi=1 to n (Xi - X\()^2\)]

= (2σ\(^4\)/(n-1)) [1/n - (1/\(n^2\))].

Suppose there exists an unbiased estimator T of σ\(^2\) with variance less than or equal to Var(\(S^2\)). Then, by the Cramer-Rao inequality, we have:

Var(T) ≥ 1/I(σ\(^2\)),

where I(σ\(^2\)) is the Fisher information of the sample. For a random sample from a population with known variance σ^2, the Fisher information is:

I(σ^2) = n/(2σ^4).

Substituting this into the Cramer-Rao inequality, we get:

Var(T) ≥ 2σ^4/n.

Therefore, any unbiased estimator T of σ\(^2\) must have variance at least 2σ\(^4\)/n, which is strictly greater than Var(\(S^2\)) unless n = 2. Hence, \(S^2\)cannot attain the Cramer-Rao lower bound for n > 2.

In summary, we have shown that the sample variance is an unbiased estimator of the population variance σ\(^2\), and that it cannot attain the Cramer-Rao lower bound unless n = 2.

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Answer:

12.8

3,200 is 12.8 percent of 25,000

a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

equation of the circle with given data is,

Hence, option 3 is correct.

Answer:

large = 12

medium = 18

Step-by-step explanation:

L + M = 30 => L = 30-M

4L+3M =102

substitute : L with M

=> 4(30-M)+3M =102

120-4M+3M = 102

- M = 102-120

-M = -18

=========> M = 18, L = 12

If SSR = 47 and SSE = 12, the correlation coefficient R is approximately ±0.8925.

HTo find the coefficient of determination (R-squared or R²) using SSR (Sum of Squares Regression) and SSE (Sum of Squares Error), you'll first need to calculate the total sum of squares (SST), and then use the formula R² = SSR/SST. Here are the steps:

1. Calculate SST: SST = SSR + SSE
  In this case, SST = 47 + 12 = 59
2. Calculate R²: R² = SSR/SST
  For this problem, R² = 47/59 ≈ 0.7966

Since R (correlation coefficient) is the square root of R², you need to take the square root of 0.7966. Keep in mind, R can be either positive or negative depending on the direction of the relationship between the variables. However, since we do not have information about the direction, we'll just provide the absolute value of R:

3. Calculate R: R = √R²
  In this case, R = √0.7966 ≈ 0.8925

So, if SSR = 47 and SSE = 12, the correlation coefficient R is approximately ±0.8925.

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Two more times company B charge per snack than company A

A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).

A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.

From the two tables,

0.5/0.25=2

1/0.5=2

1.5/0.75=2

2/1=2

Therefore, 2 more times company B charge per snack than company A

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Answer:

3.34 is the decimal form but the question is unclear, what is it that you need?

Step-by-step explanation:

Answer:

search up different types of decimals and answer it to the same one that looks the same as the one on the paper .

Step-by-step explanation:

According to the given statements, the answers are as follows:

1. number of sides (n) = number of interior angles = number of exterior angles

2. All interior angles are congruent.

3. All exterior angles are congruent.

4. sum of interior angles = (n-2)180°.

5. sum of exterior angles = 360°.

6. measure of each interior angle = (n-2)180°/n.

7. measure of each exterior angle = 360°/n.

Given:

The dimensions of the given cuboid are 8 in, 6 in and 7 in.

To find:

The volume and the surface area of the given cuboid.

Solution:

The volume of cuboid is:

\(V=l\times b\times h\)

Where, l is length, b is breadth and h is height.

\(V=8\times 6\times 7\)

\(V=336\)

Therefore, the volume of the cuboid is 336 cubic inches.

The surface area of the cuboid is:

\(A=2(lb+bh+hl)\)

Where, l is length, b is breadth and h is height.

\(A=2(8\times 6+6\times 7+7\times 8)\)

\(A=2(48+42+56)\)

\(A=2(146)\)

\(A=292\)

Therefore, the surface area of the cuboid is 292 square inches.