The distance from school to Regina's house is 4. 2 kilometers. After school, Regina stops at a grocery store on her way home. If the distance from the school to the grocery store is 1. 4 kilometers, how much farther in meters does Regina need to get home?
meters

Hi there!  

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I believe your answer is:  

\(\boxed{x=100}\)

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Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solve for 'x':}}\\\\58 + 22 + x = 180\\-----------\\\rightarrow 80 + x = 180\\\\\rightarrow 80 - 80 + x = 180 - 80\\\\\rightarrow \boxed{x=100}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The total count of inches that a Kameron cover is 301.44 inches, under the condition that we have to  use 3.14 as an approximation of π.

The circumference formula of a circle is
C=πd

Here
C =  refers to circumference
d = refers to diameter.
Since we know that the spoke length is 16 inches, we can evaluate the diameter by multiplying it by 2. Hence, the diameter of the wheel is 32 inches.

Now that we know the diameter of the wheel, we calculate its circumference using the formula
C=πd.
Staging in this formula
d=32 inches
π=3.14

C = πd
= 3.14 x 32
= 100.48 inches

So Kameron covers 100.48 inches of ground in one full rotation of the unicycle wheel.
Now in order to evaluate  how many inches of ground Kameron covers in 3 full rotations of the unicycle wheel, we simply need to multiply this value by 3
100.48 x 3
= 301.44 inches

Thus, Kameron covers approximately 301.44 inches of ground in 3 full rotations of the unicycle wheel.

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The matching sets for the given orbitals are as follows:

A. 3, 2, -1

C. 5, 1, -1

G. 4, 0, -1

H. 3, 2, 3

In quantum mechanics, each electron in an atom is described by a set of quantum numbers that provide information about its energy level, orbital shape, and orientation. The quantum numbers include the principal quantum number (n), the azimuthal quantum number (l), and the magnetic quantum number (ml).

For the given orbitals, we need to match the orbital names with the sets of quantum numbers. Let's go through each option:

A. The quantum numbers 3, 2, -1 correspond to the orbital name 3dxy. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is -1. This describes a d orbital in the xy plane.

C. The quantum numbers 5, 1, -1 correspond to the orbital name 5py. The principal quantum number (n) is 5, the azimuthal quantum number (l) is 1, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the y-axis.

G. The quantum numbers 4, 0, -1 correspond to the orbital name 4pz. The principal quantum number (n) is 4, the azimuthal quantum number (l) is 0, and the magnetic quantum number (ml) is -1. This describes a p orbital oriented along the z-axis.

H. The quantum numbers 3, 2, 3 correspond to the orbital name 3dxyz. The principal quantum number (n) is 3, the azimuthal quantum number (l) is 2, and the magnetic quantum number (ml) is 3. This describes a d orbital with complex orientation in space.

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Answer: a big number

Step-by-step explanation:

why do you even need to know the answer?? lol

The accumulated amount after 25 years is , $70,702.80.

Now, We can use the formula for compound interest to find the accumulated amount after 25 years:

A = P(1 + r/k)^(kt)

Where A is the accumulated amount, P is the principal , r is the interest rate, n is the number of times the interest is compounded per year, and t is the time period.

In this case, we have:

P = $25,300

r = 0.045 (

k = 12 (monthly compounding)

t = 25

Substituting these values into the formula, we get:

A = $25,300(1 + 0.045/12)^(12 x 25)

A ≈ $70,702.80

Therefore, the accumulated amount after 25 years is ,

$70,702.80.

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Answer:

The number is -60

Step-by-step explanation:

Assume, the unknown number is x

Let's write an equation according to the given information:

\( \frac{x}{ - 4} = 15\)

Cross-multiply to find x:

\(x = ( - 4) \times 15 = - 60\)

Answer:

It is C

Step-by-step explanation:

C is true because you can make 12 per hour in the table shown

The price that maximizes revenue is p = 120.

The price that maximizes revenue, we need to find the value of price (p) that corresponds to the maximum value of revenue (R). Revenue is calculated by multiplying the quantity (q) sold by the price (p), so we can express revenue as R = p × q.

Given the demand function q = -5p + 1200, we can substitute this expression for q into the revenue equation:

R = p × q

R = p × (-5p + 1200)

To find the price that maximizes revenue, we can take the derivative of the revenue function with respect to price (p), set it equal to zero, and solve for p.

dR/dp = -10p + 1200 = 0

Solving this equation for p:

-10p + 1200 = 0

-10p = -1200

p = -1200 / -10

p = 120

Therefore, the price that maximizes revenue is p = 120.

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Answer:

hello

Step-by-step explanation:

The amount of money that Erica owes at the end of 6 years is $8,551.56.

The amount of money that  has in his account would increase at a compound rate each month. Compound growth is when both the amount that was invested and the interest that has already been earned increases at each compounding time.

The formula that can be used to determine the future value with monthly compounding is:

A = P(1 + r/n)^nt

Where:

A = $5300 x (1 + 0.0067)^(6 x 12)

A = $5300 x 1.0067^72 = $8,551.56

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Answer:

see explanation

Step-by-step explanation:

sinG = \(\frac{opposite}{hypotenuse}\) = \(\frac{HI}{GI}\) = \(\frac{2}{2\sqrt{2} }\) = \(\frac{1}{\sqrt{2} }\) = \(\frac{\sqrt{2} }{2}\)

cosG = \(\frac{adjacent}{hypotenuse}\) = \(\frac{GH}{GI}\) = \(\frac{2}{2\sqrt{2} }\) = \(\frac{1}{\sqrt{\sqrt{2} } }\) = \(\frac{\sqrt{\sqrt{2} } }{2}\)

tanG = \(\frac{opposite}{adjacent}\) = \(\frac{2}{2}\) = 1

Answer:

Length is 7 units

Step-by-step explanation:

width- w

L- length

W+3=L
(w)(l)=28

hopes this helps

Answer:

B

Step-by-step explanation:

A term can be a constant or a variable or both in an expression, but since we are just trying to find a term not in an expression 6p is the answer. Hopefully this helps:)

The "integers"— , positive, negative, NOT zero. The "rational numbers"— , or fractions, like 355/113.

Answer:

Kelly's mistake is y > 2x-1

She can fix by the inequality: y ≥ 2x-1

Step-by-step explanation:

y ≥ 2x-1

y ≤ -x+5

y > 2x-1 should be greater than less than; y ≥ 2x-1 to point (2,3)

Answer:

No. It is not possible to construct a triangle with lengths of its sides 4cm, 5cm and 9cm because the sum of two sides is not greater than the third side:

5 + 4 is not greater than 9.

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

The slope is 1

Step-by-step explanation:

Slope can be found using the expression \(\frac{y2-y1}{x2-x1}\)

In this case,

y2 = 3

y1 = 1

x2 = 6

x1 = 4

\(\frac{3-1}{6-4}\)  =  2/2 = 1

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

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Answer:

bnyhhjjvcxzzzxzxvbnn

Step-by-step explanation:

fh

vbmmhhhgfxsssbb bmmbhhhjj

Answer:

5 Feet per second.

f = feet  s = seconds

Equation

f = 5s

The solution to the inequality -2a - 5 < 20 is a < -25/2.

To solve the inequality, we want to isolate the variable 'a' on one side of the inequality sign. Let's go step by step:

-2a - 5 < 20

First, we can eliminate the constant term by adding 5 to both sides of the inequality:

-2a - 5 + 5 < 20 + 5

Simplifying, we get:

a < 25

Next, we want to get rid of the coefficient -2 in front of 'a'. To do that, we divide both sides of the inequality by -2. When dividing by a negative number, we need to reverse the inequality sign:

(-2a)/-2 > 25/-2

Simplifying further:

a > -25/2

Therefore, the solution to the inequality is a < -25/2. This means that any value of 'a' that is less than -25/2 will satisfy the inequality.

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Answer:

2^3.3^2

Step-by-step explanation:

\( {2}^{3 ?} = 8 \\ {?3}^{2?} = 9 \\ 8 \times 9 = 72\)

Answer:

2.2.2.3.3.

72 / 2 = 36

36/2 = 18

18/2 = 9

9/ 3= 3.

So the answer to your question is 2.2.2.3.3.

Hope this helps!

Have a great day and stay safe! :))))))

Answer:

a) x value is -2, min is -3(if thats y)

b) x value is 3, max is 21(if thats y)

Step-by-step explanation:

yes you do quadratic formula and such :)

The Director of Marketing for Acme Inc. plans to split the marketing budget for a particular product between advertising expenses and mail-in rebates. The demand equation for this product is given by (5000*(A^0.1)) + (10*(R^1.2)), where A is the advertising expenses and R is the rebate per unit. The total marketing expenditure is the sum of advertising expenses and the total rebate costs, which is given by the number of units sold multiplied by the rebate per unit.

   In question 1, we are asked to calculate the marketing expenditure given advertising expenses of $1.4 million and a rebate of $3.25. In question 2, we are asked to find the number of units sold with advertising expenses of $3.2 million and a rebate of $2.00. Question 3 asks about the sales generated by a rebate of $3.00 with zero advertising, and question 4 asks about the sales generated with zero rebates and different levels of advertising expenses. Finally, question 5 asks for the advertising expenses needed to achieve sales of 21,282 units with a rebate of $4.25 per unit.

To answer these questions, we need to use the demand equation and the formula for total marketing expenditure. By plugging in the given values for A and R, we can solve for the total marketing expenditure or the number of units sold, depending on the question. The questions test our understanding of the relationship between advertising expenses, rebates, and sales, and our ability to apply the demand equation and the formula for total marketing expenditure.

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The Director of Marketing for Acme Inc. plans to split the marketing budget for a particular product between advertising expenses and mail-in rebates. The demand equation for this product is given by (5000*(A^0.1)) + (10*(R^1.2)), where A is the advertising expenses and R is the rebate per unit. The total marketing expenditure is the sum of advertising expenses and the total rebate costs, which is given by the number of units sold multiplied by the rebate per unit.

      In question 1, we are asked to calculate the marketing expenditure given advertising expenses of $1.4 million and a rebate of $3.25. In question 2, we are asked to find the number of units sold with advertising expenses of $3.2 million and a rebate of $2.00. Question 3 asks about the sales generated by a rebate of $3.00 with zero advertising, and question 4 asks about the sales generated with zero rebates and different levels of advertising expenses. Finally, question 5 asks for the advertising expenses needed to achieve sales of 21,282 units with a rebate of $4.25 per unit.

To answer these questions, we need to use the demand equation and the formula for total marketing expenditure. By plugging in the given values for A and R, we can solve for the total marketing expenditure or the number of units sold, depending on the question. The questions test our understanding of the relationship between advertising expenses, rebates, and sales, and our ability to apply the demand equation and the formula for total marketing expenditure.

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Answer: $210 is the price after discount.

Step-by-step explanation: 90 is 30% of 300. 300-90=210

Using an exponential function, we have that:

a) The equation is: \(A(t) = 600000(1.058)^{\frac{t}{2}}\).

b) The house will have a value of $1 million during the year of 2037.

c) The expected value on April 1, 2020, is of $621,520.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem, the parameters are given as follows:

A(0) = 600000, r = 0.058 each 2 years.

Hence the exponential function is:

\(A(t) = 600000(1 + 0.058)^{\frac{t}{2}}\)

\(A(t) = 600000(1.058)^{\frac{t}{2}}\)

Item b:

It is the year 2019 + t, for which A(t) = 1000000, hence:

\(A(t) = 600000(1.058)^{\frac{t}{2}}\)

\(1000000 = 600000(1.058)^{0.5t}\)

\((1.058)^{0.5t} = 1.6667\)

\(\log{(1.058)^{0.5t}} = \log{1.6667}\)

\(0.5t\log{1.058} = \log{1.6667}\)

\(t = \frac{\log{1.6667}}{0.5\log{1.058}}\)

\(t = 18.12\)

The house will have a value of $1 million during the year of 2037.

Item c:

April 1, 2020 is one year and 3 months = 1.25 years after January 1, 2019, hence the value of the home will be given by:

\(A(t) = 600000(1.058)^{\frac{t}{2}}\)

\(A(1.25) = 600000(1.058)^{\frac{1.25}{2}}\)

A(1.25) = $621,520.

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In the case when ø21 and ø22 are unknown and can be assumed equal, we can calculate a pooled estimate of the population variance. This statement is True.

In the case where ø21 and ø22 are unknown and can be assumed equal, it is possible to calculate a pooled estimate of the population variance. This pooled estimate combines the sample variances from two groups or populations to obtain a more accurate estimate of the common variance. It assumes that the underlying variances in both groups are equal.

The pooled estimate of the population variance is calculated by taking a weighted average of the individual sample variances, with the weights determined by the sample sizes of the two groups. This pooled estimate is useful in various statistical analyses, such as t-tests or analysis of variance (ANOVA), where the assumption of equal variances is necessary.

However, it is important to note that the assumption of equal variances should be validated or tested before using the pooled estimate. If there is evidence to suggest unequal variances, alternative methods or adjustments may be necessary.

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68 is the area of the given polygon

The value of cos(x) for |x| ≤ 1/12 accurate to 12 decimal places (rounded), we need at least 5 terms in the series of cos(x). We will use Taylor's theorem to derive this result.

Taylor's theorem, also known as the Taylor series theorem, is a mathematical formula used to represent functions as a sum of infinitely many derivatives in order to approximate them over a certain interval.

This formula allows us to derive the value of a function at a point using information about its derivatives at that point.

In essence, Taylor's theorem is a tool used in calculus to model complex functions that cannot be easily solved.

Using Taylor's theorem to solve the question:

We know that the Taylor series expansion of cos(x) is given by the formula:

cos(x) = 1 - x²/2! + x⁴/4! - x⁶/6! + ...

To get an accurate value of cos(x), we need to keep adding terms in the series until the absolute value of the next term is less than our required accuracy.

Using |x| ≤ 1/12 and rounding to 12 decimal places, we have an error tolerance of 0.000000000001.

Therefore, we need to find the smallest value of n such that \(|x^(n+1)/(n+1)!| ≤ 0.000000000001,\)

where x = 1/12.

Substituting x = 1/12,

we have |(1/12)^(n+1)/(n+1)!| ≤ 0.000000000001

Using a calculator, we can find that n = 4 satisfies this inequality.

Therefore, we need at least 5 terms in the series of cos(x) to compute the value of cos(x) for |x| ≤ 1/12 accurate to 12 decimal places (rounded).

Conclusion:

To calculate the value of cos(x) for |x| ≤ 1/12 accurate to 12 decimal places (rounded), we need at least 5 terms in the series of cos(x). We used Taylor's theorem to derive this result.

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