I’m wondering what the right answer is. I have attached an image so it’s easier to understand. Thanks - Rylee

Answer:

x = -3/8

Step-by-step explanation:

4(3 - 2x) = 15

Distribute

12 -8x = 15

Subtract 12 from each side

12-8x-12 =15-12

-8x =3

Divide by -8

-8x/-8 = 3/-8

x = -3/8

The correct answer is: -3/8

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

What makes up a linear transformation's kernel?

The portion of the domain that is changed into the zero vector is known as the kernel (or null space) of a linear transformation.

Is kernel equivalent to empty space?

The linear subspace of the map's domain that is mapped to the zero vector is referred to in mathematics as the kernel of a linear map and is also known as the null space or null space.

Does kernel equate to basis?

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The double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

The iterated integral to compute the double integral over the rectangle r = {(x,y) : 0 ≤ x ≤ π, 0 ≤ y ≤ a} of sin(xy) is given by:

∫∫r sin(xy) dA = ∫₀^a ∫₀^π sin(xy) dx dy

Integrating with respect to x first, we have:

∫₀^a ∫₀^π sin(xy) dx dy = ∫₀^a [-cos(πy) + cos(0)] dy

= ∫₀^a (1 - (-1)^n) dy

= a - (a/π)sin(πa)

For what values of a is ∫∫r sin(xy) dA equal to 1?

We need to solve the equation:

a - (a/π)sin(πa) = 1

Multiplying both sides by π, we get:

aπ - a sin(πa) = π

Now, let f(a) = aπ - a sin(πa) - π. We need to find the values of a such that f(a) = 0.

Using numerical methods, we can find that there is only one solution in the interval [0,π], which is approximately a = 0.986.

Therefore, the double integral of sin(xy) over the rectangle r equals 1 when a is approximately equal to 0.986, with 0 ≤ a ≤ π.

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Answer:

Less than 25%

Step-by-step explanation:

1189 divided by 967 is 1.229576008...

1.229576008... multiplied by 967 is 1189

This number, 1.229576008..., is a multiplier

To be exact it increases by 22.9576008...%

That is less than 25%

This week= 967 people

Last week= 1189 people

The percentage decrease.

\(\% \: decrease = - 100 \times \frac{(final - initial)}{initial} \)

\(\% \: decrease = - 100 \times \frac{(967 - 1189)}{1189} \)

\(\% \: decrease = - 100 \times \frac{ - 222}{1189} \)

\(\% \: decrease = 18.67115223 \: \%\)

\(\% \: decrease = 18.7 \: \%\)

So it's less than 25%

The minimum score required for admission to the university is approximately 30.117 on the ACT Composite scale.

To find the minimum score required for admission to the university, we need to determine the cutoff score that corresponds to the top 45% of ACT Composite scores.

First, we can convert the top 45% to a z-score, which represents the number of standard deviations above or below the mean. We can use a standard normal distribution table or a calculator to find the z-score associated with the cumulative probability of 0.45.

Using the standard normal distribution table, we find that the z-score associated with a cumulative probability of 0.45 is approximately 1.645.

Next, we can use the z-score formula to calculate the minimum score required for admission:

z = (x - μ) / σ

Where:

z is the z-score

x is the ACT Composite score

μ is the mean of the scores

σ is the standard deviation of the scores

Rearranging the formula to solve for x (the ACT Composite score):

x = z * σ + μ

Substituting the known values into the equation:

x = 1.645 * 5.4 + 21.2

Calculating this expression:

x ≈ 30.117

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Using the formula they gave us:

Cost of shipping = 2.79 + 0.38(8)

Cost of shipping = 2.79 + 3.04

Cost of shipping = 5.83(currency unit)

True, The more variables that are deployed to segment a market, the more useful is the resulting segmentation likely to be.

We have,

The factors which are be used to member a request are the segmentation variables. Common variables include demographic, geographic, psychographics and behavioral considerations.

Quantifiable population characteristics, similar as age, gender, income, education, family situation.

The primary ideal of segmentation is to identify guests with analogous attributes, and to find which parts of guests that are seductive from a profit perspective.

Understanding the request segmentation allows marketers to produce a more effective and effective marketing blend.

Hence, True, The more variables that are deployed to segment a market, the more useful is the resulting segmentation likely to be.

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complete question:

The more variables that are deployed to segment a market, the more useful is the resulting segmentation likely ot be.[See p.104]Group of answer choicesTrueFalse

Answer:

Avg BC= 10.873 m

Step-by-step explanation:

See a picture

The axis of symmetry of h(x) = 5x2 + 40x + 64 = -4

The formula for calculating the axis of symmetry is expressed as:

Axis of symmetry x = -b/2a

h(x) = 5x^2 + 40x + 64

a = 5 and b = 40

Answer:

-2.29

Step-by-step explanation:

Answer:

\(-2.29\)

Step-by-step explanation:

\(-4.6 + 2.31\) Multiply -1 by -2.31

\(-2.29\) Add -4.6 and 2.31

Answer:

12h = f

Step-by-step explanation:

12 represents how much $ she is earning PER hour, and "h" represnts the hours worked.

Example question:

If Lara works for 4 hours, she would earn a total amount of $48. Subsitute "h" for 4 because that's how many hours she worked. Then, multiply 12 by 4.

12(4) = f

48 = f

HOPE THIS HELPED! :)

The amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

The amount to which $800 will grow under each of these conditions is as follows:a) 8% compounded annually for 9 years

When compounded annually for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years

Compounded annually = n = 1 Amount = $1,447.91 (rounded to the nearest cent)

b) 8% compounded semiannually for 9 years Compounded semiannually for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded semiannually = n = 2 Amount = $1,471.16 (rounded to the nearest cent)

c)  8% compounded quarterly for 9 years Compounded quarterly for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded quarterly = n = 4 Amount = $1,491.03 (rounded to the nearest cent)

d) 8% compounded monthly for 9 years Compounded monthly for 9 years at 8%, the formula is: Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded monthly = n = 12 Amount = $1,505.91 (rounded to the nearest cent)

e) 8% compounded daily for 9 years Compounded daily for 9 years at 8%, the formula is:

Amount = Principal x [(1 + rate/n)^(n*t)]

Where: Principal = $800 Rate = 8% Time = 9 years Compounded daily = n = 365Amount = $1,511.74 (rounded to the nearest cent)

The observed pattern of FVs (future values) occurs due to compounding. Compounding is the process of earning interest not only on the principal amount invested but also on the interest earned from the principal. This results in an increase in the interest earned and the future value of the investment. The more frequent the compounding, the higher the future value of the investment. Hence, the amount to which $800 will grow under each of the given conditions increases as the compounding period decreases.

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The Quotient is 2x + 4

The remainder is 33x + 72

We have,

Expression:

(2x³ - 25x + 40) / (x² - 2x - 8)

Dividing the expression:

x² - 2x - 8 ) 2x³ - 25x + 40 ( 2x + 4

                  2x³ -  4x² - 16x

              (-)      (+)      (+)      

                          4x² - 41x + 40

                          4x² - 8x   - 32

                       (-)     (+)      (+)  

                                 33x + 72

Now,

Quotient = 2x + 4

Remainder = 33x + 72

Thus,

The Quotient is 2x + 4

The remainder is 33x + 72

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Using the given proportions, it is found that:

a) The newer hard drivers have about 1000 times the capacity of the 1995 drives.

b) The prediction of the hard drive capacity in the year 2017 if this rate of growth continues is of 40 TB.

c) The fraction that 1 KB is of 1 TB is of 1/(10^9).

A proportion is a fraction of a total amount, and in problems involving it, basic arithmetic operations, especially multiplication or division, are used along with the unit rates to find the equivalent measures.

The amounts in 1995 and 2006 are given as follows:

The proportion of these amounts is:

1 GB = 10³ MB.

Hence the ratio of the capacity of newer hard drives is:

10³ = 1000.

In 11 years, the amount was multiplied by 10³, hence the estimate of the capacity in the year of 2017 is of:

40 x 10³ GB = 40 TB

The ratio between 1 kilobyte and one terabyte is:

Hence the ratio is:

1/(10^9).

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Answer:

Step-by-step explanation:

(-75) x173+173x(-25)

173(-75-25)

173(-100)

-17300

Answer:

i think u would have to multiply all sides together for perimeter

Answer:

Area:209 meters

Perimeter: 82meters

Step-by-step explanation:

Perimeter equation length + width*2

Area equation Length*Width

The 3 couples can be seated in 20 ways.

The answer I provided uses the concept of permutations. In permutation, we calculate the number of arrangements or ways in which a set of elements can be arranged.

In this case, the question is asking for the number of ways in which 6 individuals (3 married couples) can be seated in a row. To find the number of arrangements, we can use the formula for permutations of multiples:

P(n, k) = n! / (n-k)!

Where n is the number of items to arrange and k is the number of identical items. In this case, n = 6 (number of individuals) and k = 3 (number of married couples).

However, we need to also account for the fact that within each married couple, the two individuals can be seated in either order. Hence, we need to divide the result by 2! for each couple, giving us the formula:

P(6, 3) / (2! * 2! * 2!) = 6! / (3! * 3!) = 20

So there are 20 different ways in which the 3 married couples can be seated in a row.

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Here's link to the answer:

tinyurl.com/wpazsebu

Answer:

Rewrite  

64  as  

\((2^{6})^5^/^6\)  

Apply the power rule and multiply exponents,  

\((a^{m})^n=a^{mn}\)

\(2^{6}^(^5^/^6^)\)    

Cancel the common factor of    

\(2^{6}^(^5^/^6^)\)

Rewrite the expression.

\(2^{5}\)

Raise  2  to the power of  5  

32

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Answer:

C(x) = 2x + 100

Step-by-step explanation:

Here, we want to find the formula for C(x)

Here, x will be the number of gallons of gas

so per day, if x gallons of gas were consumed, the daily cost here will be x * 2 = $2x

Adding the cost for the attendant, we have 2x + 100

So the formula for C(x) will be;

C(x) = 2x + 100

if the volume is known, you can calculate the radius using the formula and the given values and it is =1.7853

To find the radius (r) of a right cylinder with a given height (h) of 10 and an unknown volume (V), additional information is needed to solve the problem. Without knowing the value of the volume, it is not possible to determine the exact value of the radius. The volume of a right cylinder is calculated using the formula V = \(\pi r^{2h}\), where π is a constant value approximately equal to 3.14159.

However, if you have the value of the volume (V), you can rearrange the formula to solve for the radius (r). For example, if the volume is given as V = 100 cubic units, you can use the formula V = πr^2h and substitute the known values to find the radius. Rearranging the formula, we get r = √(V / (πh)), where √ denotes the square root.

By plugging in the values of V = 100 and h = 10 into the formula, we can calculate the radius as r = √(100 / (π × 10)). Simplifying further, r ≈ √(10 / π) ≈ √(10 / 3.14159) ≈ √(3.1831) ≈ 1.7853

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The area of the circle is 12.56 square yards.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of a circle is given by the formula:

Circumference = π x diameter

If the diameter of the circle is 4 yards, then the radius is half of the diameter, or:

radius = diameter / 2 = 4 / 2 = 2 yards

Using the formula for circumference, we can find:

Circumference = π x diameter = 3.14 x 4 = 12.56 yards

Therefore, the circumference of the circle is 12.56 yards.

To find the area of the circle, we can use the formula:

Area = π x radius²

Plugging in the value for radius, we get:

Area = 3.14 x 2² = 3.14 x 4 = 12.56 square yards

Therefore, the area of the circle is 12.56 square yards.

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To prove that when a sphere is moved about its center, it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position using orthogonal properties, follow these steps:

1. Consider a sphere with center O and any diameter AB.
2. When the sphere is moved about its center, the center O remains fixed.
3. Rotate the sphere such that diameter AB is now in a new position A'B'.
4. Since the sphere has been rotated about its center, the orthogonal properties are preserved. This means that the planes that are perpendicular to the diameter at the center O remain unchanged.
5. The orthogonal planes to diameter AB intersect at the center O and form a fixed line in space.
6. Now, rotate the sphere again, such that diameter A'B' returns to its initial position as AB. This rotation is possible because the orthogonal planes and their intersection (the fixed line) are preserved.
7. Since diameter A'B' has returned to the initial position of AB, it proves that it is always possible to find a diameter of the sphere whose direction in the displaced position is the same as in the initial position.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

13%

Step-by-step explanation:

There are 40 pets in total, 26 pets are adopted on weekdays.

26/40=13/20=65/100=65%

65/5=13

13%

Answer:

B

Step-by-step explanation:

Subtract the minimum number from maximum number.

\(10 - 2 = 8\)