the proportion of variability in one variable that can be determined or explained by a second variable is known as the

Answer: I really don't understand B. but i think the answer is C

Answer:

whats your question? I dont see your question

Step-by-step explanation:

The required value of the function of function (gof)(11) is 767.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given functions,

F(x)=2|x-3|+4 and g(x)=2x²-3x

Now in order to calculate, (gof)(11) , put f(x) in g(x) then put x = 11,
(gof)(11) = 2(2|x-3|+4)²-3x
(gof)(11) = 2(2|11-3|+4)²-3× 11
(gof)(11) =  2(2× 8 + 4)² - 33
(gof)(11) = 767

Thus, the required value of the function of function (gof)(11) is 767.

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Answer: 0.75 euros = 1 dollar

Step-by-step explanation:

Unit rate

450 euros ----> 600 dollars

450/600 = 0.75

0.75 euros = 1 dollar

Uni rate for the exchange of dollars to euros is 0.75 euros/dollars.

\(\implies\) To find the unit rate of exchange from dollars to euros, divide the amount of euros Monica received by the amount of dollars she paid:

\(\largearrow{\sf{\boxd{\boxed{Unit \ change = \dfrac{Number \ of \ euros \ you \got}{Number \ of \ dollars \ you \ have} }}}}\)

\(\implies{\sf{Unit \ change = \dfrac{\cancel{450}}{\cancel{600}} }}\)

\(\implies{\sf{Unit \ change = 0.75 }}\)

As a result, the unit rate for the exchange of dollars to euros is 0.75 euros/dollar.

Answer 813.8

Step-by-step explanation:

Well 813.8 is the answer. Why? Lets talk it out if there are 75 submissions and it says Paul will accept 2/5 of the submissions so we have to do is 75- 2/5 will be 74.6 and multiply by 13 because 13 pages is in a article so we got 969.8 and then minus 156 because it asking us how many "more" pages they need so 813.8 is the answer if you subtract 969.8 and 156.

Answer:

50 new fish in total

so lets say 25 per month

Rate: 25 fish per month

Step-by-step explanation:

The rate is the population increasing is  0.135 or 13.5% .

Growth rates refer to the percentage change of a specific variable within a specific time period.

Growth rate= \(\frac{Present value - Past value}{Past value}\)

According to the question

The population of fish increased from 370 to 420

i.e

Present value = 420

Past value = 370

over the months of March and April

By using Growth rate formula :

Growth rate= \(\frac{Present value - Past value}{Past value}\)

Now,

Substituting values in formula

Growth rate= \(\frac{420 - 370}{370}\)  

                    = \(\frac{50}{370}\)

                    = 0.135 or 13.5%

Hence, the rate is the population increasing is  0.135 or 13.5% .

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The maximum absolute error using the Remainder Estimation Theorem is 2.061 x 10^-5 (option c).

To estimate the maximum absolute error for the polynomial 1 + 5x + 10x^2 when approximating f(x) = (1 + x)^5 on the interval |x| <= 0.1 using the Remainder Estimation Theorem, follow these steps:

1. Calculate the 4th derivative of f(x) = (1 + x)^5, which is f''''(x) = 120.

2. Determine the maximum absolute value of f''''(x) on the interval |x| <= 0.1. Since f''''(x) is constant, the maximum absolute value is 120.

3. Use the Remainder Estimation Theorem to find the maximum absolute error: |R_n(x)| <= M * |x - a|^4 / 4! where M is the maximum absolute value of f''''(x) on the interval, a is the center of the interval, and n is the degree of the approximating polynomial. Here, n = 2 and a = 0.

4. Calculate the maximum absolute error: |R_2(x)| <= 120 * |x|^4 / 4! = 120 * |x|^4 / 24. Since |x| <= 0.1, the maximum occurs when |x| = 0.1.

5. Compute the maximum absolute error: 120 * (0.1)^4 / 24 = 2.061 * 10^-5.

So, the maximum absolute error using the Remainder Estimation Theorem is 2.061 x 10^-5 (option c).

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Answer:

$29.12

Step-by-step explanation:

x - .25x = 25.95

.75x = 25.95   Divide both sides by .75

x = 34.60

the original cost of the sweater was $34.60

34.60 x .8  If you take off 20%, you are leaving on 80%

$29.12  This is the purchase price of 20% off of the original cost.

5a+17=87

5a+17-17=87-17

5a=70

a=14

Answer:

87-17=70

70÷5=14

=14 is your answer

Data sharing with the remainder of the lab section has a number of benefits. First of all, it broadens the sample size overall, which can boost the statistical power of analyses and broaden the applicability of the results.

It is simpler to find significant effects or relationships in the data when the sample size is higher. Furthermore, combining data can result in a more representative sample, minimising any biases that can be present in smaller individual datasets. Collaboration and the investigation of trickier research problems are made possible by sharing data. It promotes information exchange and a collaborative atmosphere where researchers can benefit from one another's experiences, approaches, and insights, thereby raising the calibre and dependability of the research carried out in the lab sector.

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The correct choice is C. x1​+x2​+x4​.

To determine the correct choice, we need to analyze the given matrix A and find the vector x that satisfies the equation Ax = 0.

Calculating the product of matrix A and the vector x = [x1​, x2​, x3​, x4​]:

A * x = ⎣⎡​104​−51−16​17−548​−134−36​⎦⎤​ * ⎡⎢⎣x1​x2​x3​x4​⎤⎥⎦​

This results in the following system of equations:

104x1 - 51x2 - 16x3 + 17x4 = 0

17x1 - 548x2 - 134x3 - 36x4 = 0

To find the solutions to this system, we can use Gaussian elimination or matrix inversion. However, since we are only interested in the form of the solution, we can observe that the variables x1, x2, x3, and x4 appear in the first equation but not in the second equation. Therefore, we can conclude that the correct choice is C. x1​+x2​+x4​.

The correct choice is C. x1​+x2​+x4​.

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from the question;

we to find |x| when x = 15 and when x = -15

by definition of absolute value we have

Thats for every value of x, the absolute value is always positive

Hence,

Also

Therefore the correct answer is

Both values are 15

option B

Answer:

Step-by-step explanation:

To find the explicit formula for the given sequence, we can use the recursive formula and keep substituting until we get a general formula.

a₁ = 4

a₂ = a₁ - 4 = 4 - 4 = 0

a₃ = a₂ - 4 = 0 - 4 = -4

a₄ = a₃ - 4 = -4 - 4 = -8

a₅ = a₄ - 4 = -8 - 4 = -12

a₆ = a₅ - 4 = -12 - 4 = -16

We can see that the sequence is decreasing by 4 each time, and we can write the general formula as:

aₙ = 4 - 4(n - 1)

Simplifying the formula, we get:

aₙ = -4n + 8

Therefore, the explicit formula for the given sequence is aₙ = -4n + 8.

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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The calculated mean age of Regina's brothers is 7. This is being attained by using the concept of measure of central tendency i.e. mean.

What is a mean?

Mean is interpreted as the total of all values divided by the total number of values. It is also called a mathematical average. There are three types of mean namely, arithmetic, geometric and harmonic mean.

Calculation of the mean age of Regina's brothers

Total number of Regina's brothers = 5

Sum of their ages = 4 + 6 + 6 + 9 + 10

= 35

Mean age = sum of their ages / total number

= 35 / 5

= 7

Hence, the calculated mean ages of Regina's brothers is 7

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Answer:

look at the photo..........

The Answer:the answer is D

Step-by-step explanation:

Answer:

Given perimeter=900m

So each side = 900/4

                       = 225

as area of square = side^2

=225^2

=50,625 meters

Using Pythagorean theorem, the side of the ladder will reach 22.45 ft far up now.

Pythagorean theorem describes the relationship between the sides of a right triangle. It states that the square of the hypotenuse is equal to the sum of the squares of the two other side.

c² = a² + b²

If a 45 foot ladder is set up against the side of a house so that it reaches up 27 feet, then the distance between the base of the ladder and the base of the side of the house is the difference between the square of the two values.

c = 45 ft

a = 27 ft

b² = c² - a²

b² = (45 ft)² - (27 ft)²

b² = 2025 - 729

b² = = 1296

b = 36 ft

If Latanya grabs the ladder at its base and pulls it 3 feet farther from the house, then the distance becomes b + 3 = 39 ft.

Using Pythagorean theorem, determine how far up the ladder is on the side of the house.

c = 45 ft

b = 39 ft

a² = c² - b²

a² = (45 ft)² - (39 ft)²

a² = 2025 - 1521

a² = 504

a = 6√14

a = 22.45 ft

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By the integration 12v2+12v+C.

To evaluate the integral ∫vv+1-1-v2dv, use the substitution method. Let u=-1-v2. Then, du=-2vdv. Plugging this into the original integral, we have:

∫vv+1udu=∫v+1-2vdv.

Now, integrate both sides:

∫v+1-2vdv=∫udu.

This simplifies to

12v2+v+1+C=u+C,

where C is the constant of integration. Substituting back in for u yields

12v2+v+1+C=-1-v2+C,

which can be rearranged to

∫vv+1-1-v2dv=12v2+v+1+C, which can be simplified to

∫vv+1-1-v2dv=12v2+12v+C.

Therefore, the solution is 12v2+12v+C.

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It is not necessary to tabulate Φ(z) for negative z-values since we can always use the symmetry property to find the corresponding area for positive z-values. This property holds because the standard normal curve is symmetric around its mean of 0.

a. To compute P(-1.72 ≤ Z ≤ -0.55) when Appendix Table A.3 only contains Φ(z) for z ≥ 0, you can use the property of symmetry of the standard normal curve. Since the curve is symmetric around z = 0, Φ(-z) = 1 - Φ(z). So, you can find the values for positive z and use the symmetry property:
P(-1.72 ≤ Z ≤ -0.55) = Φ(-0.55) - Φ(-1.72) = (1 - Φ(0.55)) - (1 - Φ(1.72)) = Φ(1.72) - Φ(0.55)
b. To compute P(-1.72 ≤ Z ≤ 0.55), you can break it into two parts: P(-1.72 ≤ Z ≤ 0) and P(0 ≤ Z ≤ 0.55). Then, use the symmetry property for the negative part:
P(-1.72 ≤ Z ≤ 0.55) = P(-1.72 ≤ Z ≤ 0) + P(0 ≤ Z ≤ 0.55) = Φ(0) - Φ(-1.72) + Φ(0.55) - Φ(0) = Φ(1.72) + Φ(0.55)
It is not necessary to tabulate Φ(z) for z negative because the standard normal curve is symmetric around z = 0, and we can use the property Φ(-z) = 1 - Φ(z) to find probabilities for negative z values. This property allows us to calculate probabilities for negative z values without needing a separate table for them.

If Appendix Table A.3 only contained Φ(z) for z ≥0, we could still compute P( –1.72≤ Z ≤–.55) and P( –1.72≤ Z ≤ .55) by using the symmetry property of the standard normal curve. This property states that the area under the curve to the left of a negative z-score is the same as the area to the right of the corresponding positive z-score.
To apply this property, we would first find the z-scores for the given ranges by using the formula z = (x – μ)/σ, where μ and σ are the mean and standard deviation of the standard normal distribution, respectively. For P( –1.72≤ Z ≤–.55), the negative z-scores would correspond to positive x-values, so we would need to use the symmetry property to find the corresponding area for positive z-scores. Specifically, we would find P( .55 ≤ Z ≤ 1.72) using the table, and then subtract this from 1 to get P( –1.72≤ Z ≤–.55).

Similarly, for P( –1.72≤ Z ≤ .55), the negative z-score would correspond to negative x-values, so we would use the symmetry property to find the area for positive z-scores from 0 to .55, and then double this to account for the area to the left of 0.
It is not necessary to tabulate Φ(z) for negative z-values since we can always use the symmetry property to find the corresponding area for positive z-values. This property holds because the standard normal curve is symmetric around its mean of 0, meaning that the area to the left of any negative z-score is the same as the area to the right of the corresponding positive z-score.

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Answer:

4

Step-by-step explanation:

80 divided by 4 is 20 then you take 20 and divide it by 5 to get 4 so in conclusion X = 4

Answer:

18

Step-by-step explanation:

6 times 3=18

Answer:

18 degrees

Step-by-step explanation:

If it rose 3 degrees in 1/6 of a minute you just have to multiply 3*6=18

Because if 1/6=3     6/6=18

The missing length in the triangle is 56 cm.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Let us form a proportional equation to find the value of missing length

p/21 = 24/9

Apply cross multiplication

9p=21×24

9p=504

Divide both sides by 9

p=56

Hence, the missing length in the triangle is 56 cm.

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The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

\(A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\\)

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

In the given problem,

Put these values in the above formula as,

\(A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24\)

The interest amount paid is,

\(I=A-P\\I=2562.24-2530.16\\I=32.08\)

Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

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Answer:

The correct answer is C

Step-by-step explanation:

Answer:

56.25

Step-by-step explanation:

Answer:

Amplitude of 2, midline is y=4

Answer:

y=4.

Step-by-step explanation:

I hope this helps!

Answer:

1,120

Step-by-step explanation:

$1680 - $560 = 1,120 so there for band members will need to raise $1,120 to reach their goal