What is the complementary of 87

Consider that the square root of 9 is:

that is, both (-3)^2 and (3)^2 are equal to 9.

Hence, 3 and -3 are roots of 9.

Answer:

Your answer should be 8g^15

Step-by-step explanation:

If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.

Answer:

The answer is n > -18

Step-by-step explanation:

can i plz get brainliest

Answer:

x = 8

Step-by-step explanation:

If the line are parallel (those are the ones that dont cross) and a third line crosses both the parallel lines, you get the set up shown in your diagram. Which has EIGHT angles in it. But there's only two measures for all eight of these angles. Four of them are all equal to each other (and the other four all equal to each other) And the two numbers add up to 180°

Here 7x + 12 and 12x - 28 are a couple of the angles that are EQUAL TO each other.

7x + 12 = 12x - 28 Solve.

Subtract 7x from both sides.

12 = 5x - 28 add 28 to both sides.

40 = 5x divide by 5 on both sides.

40/5 = x

8 = x

Answer:

x=8

Step-by-step explanation:

7x + 12 = 12x - 28 Solve.

Subtract 7x from both sides.

12 = 5x - 28 add 28 to both sides.

40 = 5x divide by 5 on both sides.

40/5 = x

8 = x

Answer:

  m less-than-or-equal-to 28

Step-by-step explanation:

Xander's charge for m miles will be (3 +1.50m). He wants this to be no more than $45, so ...

  3 +1.50m ≤ 45

  1.50m ≤ 42 . . . . . . subtract 3

  m ≤ 28 . . . . . . . . . .divide by 1.5

Answer: M is less than or equal to 28 or C

Step-by-step explanation:

GOT RIGHT ON E D G

The calculated volume of the prism is 702 cubic cm

From the question, we have the following parameters that can be used in our computation

The trapezoidal prism (see attachment)

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (8 + 10) * 6

Evaluate the sum of 8 and 10

Base area = 1/2 * 18 * 6

Evaluate the products of 1/2, 18 and 6

Base area = 54

Also, we have

Height = 13

So, the volume is calculated as

volume = 13 * 54

Evaluate

volume = 702

Hence, the volume of the prism is 702 cubic cm

Read more about volume at

brainly.com/question/463363

#SPJ1

Given:

The total loan amount is $ 25000.

Let x be the loan amount on a federal loan at a 2% interest rate.

Let 25000 - x be the loan amount on a private bank loan at a 3% interest rate.

The total interest for one year is I = $700.

To find: The loan amount on each loan

Explanation:

Using the simple interest formula,

Where, P is the loan amount, n - years, and r - the rate of interest.

Since the sum of the interest on each loan is $ 700.

So, we can write it as,

Thus, the amount on the federal loan is $5000.

The amount on the private loan is, $25000 - $5000 = $20000

Final answer:

The amount on the federal loan is $5000.

The amount on the private loan is $20000.

(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

Learn more about surd simplification here: https://brainly.com/question/25119327

#SPJ1

Answer: 12, 33% or 1/3

Step-by-step explanation: 33% is 1 3rd, half of 66% is 33%, so half of 8 is 4, so 8+4=12. There are 12 people in the crew.

We can come up with values from t - chart using random values of x and y .

Graphing an exponential curve : To graph an exponential curve , we need to look the input and the output of the equation . We have to find values of exponent and plot them .

Minimum 2 pts. are required to plot a graph .

Input variable = x

Output variable = y

exponential function = \(e^{x}\) .

The exponential equation is :

y = \(e^{x}\)

Hence , the values of the graph are from the t - chart using random values of x and y .

To learn more on plotting graph follow the link :https://brainly.com/question/24696306

#SPJ9

Answer:

#a

\( \implies\displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8}}\)

Converting each of them into equivalent like fractions,

\( \implies{ \displaystyle \frac{3}{4} = \frac{3 \times 6}{4 \times 6} = \frac{18}{24} }\)

\( \implies{ \displaystyle{ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} }}\)

\( \implies{ \displaystyle{ \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24} }}\)

\({ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} = \frac{18}{24} + \frac{20}{24} + \frac{21}{24} = \frac{59}{24} = 2\frac{11}{24} }}\)

Shortcut method:-

\(\implies{ \displaystyle{ \frac{3}{4} + \frac{5}{6} + \frac{7}{8} }}\)

\(\implies{ \displaystyle{ \frac{3 \times 6 + 5 \times 4 + 7 \times 3}{24} }}\)

\(\implies{ \displaystyle{ \frac{18 + 20 + 21}{24} }}\)

\(\implies{ \displaystyle{ \frac{59}{24} = 2 \frac{11}{24} }}\)

Remarks:-

#b

\(\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}\)

\(\implies{ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} }}\)

\({ \displaystyle{ \frac{19}{3} + \frac{17}{6} + \frac{34}{9} = \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} }}\)

\(\implies{ \displaystyle{ \frac{144 + 51 + 68}{18} }}\)

\(\implies{ \displaystyle{ \frac{233}{18} = 12 \frac{17}{18} }}\)

Alternatively,

\(\implies{ \displaystyle{6 \frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} }}\)

\(\implies{ \displaystyle{(6 + 2 + 3) + \frac{1}{3} + \frac{5}{6} + \frac{7}{9} }}\)

\(\implies{ \displaystyle{11 + \frac{1 \times 6 + 5 \times 3 + 7 \times 2}{18} }}\)

\(\implies{ \displaystyle{11 + \frac{35}{18} }}\)

\(\implies{ \displaystyle{11 + 1 \frac{17}{18} }}\)

\(\implies{ \displaystyle{12 + \frac{17}{18} }}\)

\(\implies{ \displaystyle{12 \frac{17}{18} }}\)

\( \large \sf \frac{3}{4} + \frac{5}{6} + \frac{7}{8} \)

Write all numerators above the least common denominator 24

\( \large \sf \frac{3 \times 6 +5 \times 4 + 7 \times 3 }{24} \)

Multiply the numbers

\( \large \sf \frac{18 +20 + 21 }{24} \)

Add the numbers

\( \large \sf \frac{59 }{24} \)

\(\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}\)

\( \large \sf 6\frac{1}{3} + 2 \frac{5}{6} + 3 \frac{7}{9} \)

Convert the mixed number to an improper fraction

\( \large \sf \frac{19}{3} + \frac{17}{6} + \frac{34}{9} \)

Write all numerators above the least common denominator 18

\( \large \sf \frac{19 \times 6 + 17 \times 3 + 34 \times 2}{18} \)

Multiply the numbers

\( \large \sf \frac{114+ 51 + 68}{18} \)

Add the numbers

\( \large \sf \frac{233}{18} \)

Answer:

12 people in the group.

Step-by-step explanation:

1 jar of paint = 3 people

Step-by-step explanation:

Based on the information given, we have a diagram with two sides labeled as 13.3 mm and 5.5 mm, and another side labeled as X mm.

To find the length of X, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter.

Perimeter = 13.3 mm + 5.5 mm + X mm

The perimeter is the total distance around the triangle. Since we have three sides, the perimeter is the sum of the lengths of those sides.

To find X, we can subtract the sum of the known sides from the perimeter:

X mm = Perimeter - (13.3 mm + 5.5 mm)

Since the value of X is not given, we cannot calculate it without the perimeter value. If you provide the perimeter value, I can help you find the length of X.

Answer:

x = -19

Step-by-step explanation:

first isolate x by subtracting 8 on both sides:

179 = -9x + 8

-8              -8

=> 171 = -9x

then divide -9 on both sides to solve for x:

=> x = 171 ÷ -9 = -19

hope it helps ;)

C. (4, 4), (-2, 2), (7, 1), (-7, 2)

In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.[1] The set X is called the domain of the function[2] and the set Y is called the codomain of the function

The parameters of the exponential function in this problem are given as follows:

The standard format of an exponential function is given as follows:

y = c(1 - a)^t.

This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:

In this problem, the function is given as follows:

f(x) = 1.1(0.44)^x.

Hence the values for the parameters are given as follows:

Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

80

Step-by-step explanation:

3/5 of 200 is 120

2/5 of 200 is 80

Answer:

(4) 1/4x = 3/4 (4)

1x=3

Step-by-step explanation:

3/4 x

÷ = ÷

1/4 1

(4) 1/4x = 3/4 (4)

1x=3

Answer:

-9/2

Step-by-step explanation:

as there is a half put it over 2

then 4 is 8 halves, then the 0.5 makes it 9

Answer:

4.5 is equal to 4 and 5/10 or 45/10

Step-by-step explanation:

Four and five tenths so you write that as a fraction and when you get that you can change it into a improper fraction and multiply 4&10 then add 5 to get 45/10 (you keep the denominator the same)

Answer:

13

Step-by-step explanation:

I think the median is 13 because i subtracted 26 by 13

The graph of the function looks like V. And the vertex of the function will be at (-3, 0).

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = |x + 3|

Then the graph of the function looks like V. And the vertex of the function will be at (-3, 0).

The graph of the function is given below.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

132 kilo meters

Step-by-step explanation:

Pro por tions:

9 lite rs ⇒ 99 km

12 lite rs  ⇒  P km

P = 99*12/9

P = 132 km

Answer:

132

Step-by-step explanation:

give person above brainliest :))

The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2

From the question, we have the following parameters that can be used in our computation:

The 5 functions of g(x)

To determine the key features of the function g(x), we make use of the first

g(x) = (x + 2)(x − 1)(x − 2)

So, we have

Zeros

This is when the function equals 0

(x + 2)(x − 1)(x − 2) = 0

Evaluate

x = -2, 1 and 2

The y-intercept

This is when the value of x in the function equals 0

g(0) = (0 + 2)(0 − 1)(0 − 2)

Evaluate

g(0) = 4

End behaviour

This is the behavior of the graph of the function as it approaches the ends of the x-axis

So, we have

\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)

Read more about polynomial at

https://brainly.com/question/30833611

#SPJ1

The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

For mor such questions on quotient visit:

https://brainly.com/question/11418015

#SPJ8

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

Read more on perimeter of a rectangle here: brainly.com/question/26787666

#SPJ1

The height of the trapezoid is 3 inches.

A trapezium, also known as a trapezoid, is a quadrilateral in which a pair of sides are parallel, but the other pair of opposite sides are non-parallel. The area of a trapezium is computed with the following formula: Area = 1 2 × Sum of parallel sides × Distance between them .

The formula for calculating the area of ​​a trapezoid is as follows:

A = (b1 + b2) × h / 2

where A is the area, b1 and b2 are the lengths of the parallel bases, and h is the height of the trapezoid.

We get the area A = 13.5 square inches and the lengths of the parallel supports, b1 = 3 inches and b2 = 6 inches. We can plug these values ​​into the formula and solve for h:

13.5 = (3 + 6) × h / 2

13.5 = 9 h / 2

Multiplying both sides by 2 and then dividing by 9 gives:

h = 3

Therefore, the height of the trapezoid is 3 inches.

Learn more about Quadrilateral here

https://brainly.com/question/29934440

#SPJ1

Answer:

b. (67.83, 68.17)

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.98}{2} = 0.01\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.01 = 0.99\), so Z = 2.327.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

\(M = 2.327\frac{1.5}{\sqrt{450}} = 0.17\)

The lower end of the interval is the sample mean subtracted by M. So it is 68 - 0.17 = 67.83.

The upper end of the interval is the sample mean added to M. So it is 68 + 0.17 = 68.17.

This means that the correct answer is given by option B.