Two points are located on a four quadrant graph. The distance between the two is currently unknown. How many units separate the coordinates ( -5, 8 ) and ( 2, -2 )

Answer:

y=-2/3x+2

Step-by-step explanation:

multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2

Answer: 31 electricians

Step-by-step explanation:

We could set up a ratio for this problem. It takes 14 electricians 18 days to wire a new housing subdivision, so it would take 24 electricians x days to do the same job. 14/18 = 24/x. We can then cross multiply to find x.

X = 30.8 or approximately 31.

Answer:

Step-by-step explanation:

Answer:

Statement 2

Step-by-step explanation:

Circular equations are typically organized in the following format:

\((x-h)^2+(y-k)^2=r^2\)

We're given:

Plug these given values into the formula:

\((x-h)^2+(y-k)^2=r^2\\(x-(-4))^2+(y-(-7))^2=2^2\\(x+4)^2+(y+7)^2=2^2\\(x+4)^2+(y+7)^2=4\)

\((x+4)^2+(y+7)^2=4\)

The amount of tax that the executive would pay on his income is; 20000 GBP

Tax is defined as a compulsory payment that is levied on the income or on the sales of specific goods and services. Tax is usually imposed by the government to get a variety of macroeconomic objectives.

Now, income tax is the tax that is levied on the income of an individual. There are different types of taxes, such as progressive tax which levies a higher tax percentage on those that earn higher incomes This means invariably that the tax rate increases as income increases.

We are given;

Gross Amount executive earns = 50,000 GBP.

We are told that any earnings between 33,500 GBP and 150,000 GBP are taxed at 40%.

Thus;

Tax that would be paid = tax rate * gross income

Tax that would be paid = 50000 * 0.4 = 20000 GBP

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Answer: 11,000

Step-by-step explanation:

The person earns 50,000 GBP, so they will stop at the tier 3 level of tax.

The first 11,500 GBP is tax free. They will be taxed 20% on (33,500−11,500)=22,000 GBP, and they will be taxed 40% on (50,000−33,500)=16,500 GBP. Hence the total tax (in GBP) they need to pay is

Total Income Tax=11,500×0%+22,000×20%+16,500×40%=0+22,000×20100+16,500×40100=0+4,400+6,600=11,000

Answer:

55.3

Step-by-step explanation:

19.9% of 278 = 55.322

55.322 rounded to the nearest tenth = 55.3

Answer:55.3

Step-by-step explanation:

Answer:

5 5/9

Step-by-step explanation:

4 1/6 = 25/6

1 1/3 = 4/3

To divide fractions, multiply the first fraction by the reciprocal of the second. For example:

a/b ÷ c/d = a/b * d/c

Applying this to our problem, 25/6 ÷ 4/3:

25/6 * 4/3

25*4/18

100/18 = 50/9

5 5/9

the Sample variance is. \($s^2\)=41.4

Sample variance can be defined as the expectation of the squared difference of data points from the mean of the data set. It is an absolute measure of dispersion and is used to check the deviation of data points with respect to the data's average.

Sample variance is used to measure the spread of the data points in a given data set around the mean. All observations of a group are known as the population. When the number of observations start increasing it becomes difficult to calculate the variance of the population. In such a situation, a certain number of observations are picked out that can be used to describe the entire group. This specific set of observations form a sample and the variance so calculated is the sample variance.

the weights of 10 dogs in pounds 7,5,11,8,14,19,16,15,13,27

Sample size, \($n=10$\)

Sample mean

\(\begin{aligned}\bar{x}=\frac{\sum x}{n} & =\frac{7+5+11+8+14+19+16+15+13+27}{10} \\& =\frac{135}{10}=13.5\end{aligned}$$\)

Sample Variance

\(\begin{aligned}& \begin{array}{r}\text { } \\\left(s^2\right)\end{array} \frac{1}{n-1} \sum_{i=1}^n\left(x_i-\bar{x}\right)^2 \\& =\frac{1}{10-1}\left[(7-13.5)^2+(5-13.5)^2+(11-13 \cdot 5)^2+(8-13.5)^2+(14-13 \cdot 5)^2+\right. \\& (19-13 \cdot 5)^2+(16-13 \cdot 5)^2+(15-13 \cdot 5)^2+(13-13 \cdot 5)^2+(27-13.5)^2 \\& =\frac{1}{9}[42.25+72.25+6.25+30.25+0.25+30.25+6.25+2.25+ \\& 0.25+182.25 \text { ] } \\& =\frac{1}{9}[372.5] \\& =41.38888889 \approx 41.4 \\&\end{aligned}\)

Therefore, the Sample variance is. \($s^2\)=41.4

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Answer:

for my answer i got 512 but it is not one of the answer choices

Step-by-step explanation:

Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Solution

- The formula for finding the equation of a line is:

- Thus, we can find the line as follows

Final Answer

The answer is

Answer:

r = 16

Step-by-step explanation:

6/6 = r/16

6r = 96

/6     /6

r = 16

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

288π inch³

Step-by-step explanation:

V=4

/3πr³

by substituding in formulae

4/3*216π

=288π inch³

hope this helps

plzz mark me brainliest

The standard form of the expression (8x²- 3x + 3)+ (3x²- 3x + 4) - (6x² + 7)  is 5x² - 6x.

The Standard Form for writing down a polynomial is to put the terms with the highest degree.

The expression or polynomial in standard form can be represented as follows:

(8x²- 3x + 3)+ (3x²- 3x + 4) - (6x² + 7) = 8x² - 3x + 3 + 3x² - 3x + 4 - 6x² - 7

combine like terms

8x² - 3x + 3 + 3x² - 3x + 4 - 6x² - 7 = 8x² + 3x² - 6x² - 3x - 3x + 3 + 4 - 7

8x² + 3x² - 6x² - 3x - 3x + 3 + 4 - 7 = 11x² - 6x² - 6x  = 5x² - 6x

Therefore, the standard form of the expression (8x²- 3x + 3)+ (3x²- 3x + 4) - (6x² + 7)  is 5x² - 6x.

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Answer:

b AND d

Step-by-step explanation:

trust me ON this one

Answer:

B and D is correct

Step-by-step explanation:

Answer:

\(\frac{95}{56}\) or \(1\frac{39}{56}\)

Step-by-step explanation:

hope this helps have a good day :)

Answer:

Decimal Answer: 1.7

Fraction Answer: 1 39/56

Answer:

a = 7, b = 9, c = 4

Step-by-step explanation:

Hope it helps you in your learning process.

\(7^{\frac{9}{4}}= \sqrt[4]7^{9}\implies\sqrt[c]a^{b}\)

On comparing, we find:

a = 7, b = 9, c = 4

Answer:

\( \sf \: a = 7,\: b = 9,\: c = 4\)

Step-by-step explanation:

\( {7}^{\frac{9}{4}} \) we have to write in the form \( \sf \: {}^{c} \sqrt{ {a}^{b} } \)

\( {a}^{ \frac{1}{b} } = {}^{b} \sqrt{a} \)

\( {a}^{b} = {a}^{b}\)

from there we can write.

\( {7}^{3 \times \frac{1}{4} } = {}^{4} \sqrt{ {7}^{9} } \)

Comparing with \( \sf \: {}^{c} \sqrt{ {a}^{b} } \)

c = 4 , b = 9, a = 7

What is the maximum height of the ball 182.25 feet

How many seconds does it take until the ball hits the ground 6 seconds

The maximum height will occur at the vertex v(h', k)

h' = -b/2a

From the equation h = − 16 t^2 + 84 t + 72

a = -16

b = 84

h' = -84/(2 * -16)

h' = t = 2.625

k = h = − 16 t^2 + 84 t + 72 at t = 2.625

= − 16 * 2.625^2 + 84 * 2.625 + 72

= 182.25 feet

The ball hits the ground when h = 0

0 = − 16 t^2 + 84 t + 72

solving the quadratic equation gives

t = 6 OR -3/4

Use the positive value

t = 6 seconds

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Answer:

Total calories in 8 cup = 928 calories

Step-by-step explanation:

Given:

Calories in 3/4 cup of cereal = 87 calories

Find:

Total calories in 8 cup

Computation:

Total calories in 8 cup = 8 x 87 x [4/3]

Total calories in 8 cup = 928 calories

The multiples of ten quantity or value of 10 in maths.

What is a TENS fact in math?

Your child can learn addition facts by using multiples of ten to help them understand the quantity or value of 10 in maths. I discussed the tens complement method for learning basic addition and subtraction concepts with sums or minuends more than 10, along with some of the many advantages of that method.

For example we can take The training vehicle is arranged like a row of numbers on a number rack. I'm aware that 8 plus 2 equals 10. There are two kids sleeping. Make There are ten facts—pairs of numbers that add up to 10. When adding 30 + 70 = 100 or 43 + 7 = 50, it is helpful to know right away that certain combinations result in 10, such as 3 + 7 = 10.

Hence, The multiples of ten quantity or value of 10 in maths.

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Answer:

21

Step-by-step explanation:

what are the best ways for your business and how do they get neck debt from the air and to get rid from a good or

Answer:

45/64 m²

Step-by-step explanation:

We are given the length and width of the tablecloth (breath = width).

We know that the formula for the area of a rectangle is A = L × W.

Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.

The area of the tablecloth is 45/64 m².

Answer:

72\(\sqrt{3}\) units²

Step-by-step explanation:

The area (A) of the triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the perpendicular height )

Here b = ST = a = 12 and h = RS

To calculate RS use the tangent ratio in the right triangle and the exact value

tan60° = \(\sqrt{3}\) , thus

tan60° = \(\frac{opposite}{adjacent}\) = \(\frac{RS}{ST}\) = \(\frac{RS}{12}\) = \(\sqrt{3}\) ( multiply both sides by 12 )

RS = 12\(\sqrt{3}\)

Thus

A = \(\frac{1}{2}\) × 12 × 12\(\sqrt{3}\) = 6 × 12\(\sqrt{3}\) = 72\(\sqrt{3}\) units²

Yes, the expression (64+28+76)/6 makes sense as it represents the average quantity of juice per unit when combining all the shown juices.

To determine whether the expression (64+28+76)/6 makes sense, we need to evaluate the components of the expression and consider whether the mathematical operations are valid.

The expression (64+28+76)/6 represents the sum of three numbers (64, 28, and 76), divided by 6. Let's break it down step by step:

Addition: We have three numbers being added together: 64, 28, and 76. The sum of these numbers is 168 (64 + 28 + 76 = 168).

Division: The sum of the three numbers, 168, is then divided by 6. Division is a valid mathematical operation.

Now, let's analyze whether the expression makes sense in the context of Stephen combining all the juice to make fruit punch. The numbers 64, 28, and 76 may represent quantities of juice (in some units) that Stephen is combining. However, without further information or context, we cannot determine if the expression accurately represents the combination of these juices.

If the numbers 64, 28, and 76 represent quantities of juice in the same units (such as milliliters or liters), then the expression (64+28+76)/6 would represent the average quantity of juice per unit. The result, 168/6, would be 28. This would imply that each unit (e.g., glass or serving) of the fruit punch contains an average of 28 units of juice.

In summary, mathematically, the expression (64+28+76)/6 is valid. However, without additional context regarding the units or quantities being represented, it is not possible to determine whether the expression accurately describes the process of combining the juices to make fruit punch.

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Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

−

2

c

)

⇒

(

3

⋅

5

c

)

+

(

3

⋅

4

d

)

+

(

6

⋅

d

)

−

(

6

⋅

2

c

)

⇒

15

c

+

12

d

+

6

d

−

12

c

Next, group like terms:

15

c

−

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

−

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

Given:

\(\to 5c + d = c+ 4d\)

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

\(\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4\)

so, the ratio is 3:4

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Answer:

the answer is 3 x 10^6

Step-by-step explanation:

A human-factors expert recommends that there be at least 9 square feet of floor space in a college classroom for every student in the class. The minimum floor space that 18 students require is 162 square feet.

What do you mean by human factor?

Environmental, organizational, and job elements as well as human and individual qualities that have an impact on behavior at work and could jeopardize health and safety are referred to as "human factors."

9ft²=1student

xft²=18 students

   9ft²            xft²

_______=_________

1student   18 students

Cross multiply

1x=162

divide both sides by 1

x=162ft²

Hence the correct answer is 162ft²

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The completely factorized form of the expression q² - 4 is (q + 2)(q - 2).

Given the expression in the question:

q² - 4

To factorize the expression q² - 4 completely, we can use the formula for the difference of squares.

The difference of squares formula states that :

a² - b² can be factored as (a + b)(a - b).

Given that:

q² - 4

Replace 4 with 2²
q² - 2²

From this expression, let a = x and b = 2

a² - b² =  (a + b)(a - b)

q² - 2² = (q + 2)(q - 2)

Therefore, the factored form is (q + 2)(q - 2).

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