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Answer:

x² - 9  Remainder 66

Step-by-step explanation:

Find the attachment below for a step by step explanation.

Answer:

[tex]x^2-9[/tex]

Step-by-step explanation:

We are given the following expression and we are to divide it:

[tex] \frac { x ^ 4 - x ^ 2 - 6 } { x ^ { 2 } + 8 } [/tex]

We divide the first term [tex]x^4[/tex] by [tex]x^{2}+8[/tex] and get [tex]x^{2}[/tex] in the quotient so then we are left with [tex]-9x^{2} -6[/tex].

Further [tex]-9x^{2} -6[/tex] is divided by [tex]x^{2}+8[/tex] to get [tex]-9[/tex] in the quotient and we are left with 66 as the remainder.

So we get the quotient [tex]x^2-9[/tex] and remainder [tex]66[/tex].

Answer:

[tex]\boxed{\bold{2y^2-4y-24}}[/tex]

Step By Step Explanation:

Expand [tex]\bold{3\left(2y-8\right): \ 6y-24}[/tex]

[tex]\bold{6y-24-2y\left(5-y\right)}[/tex]

Expand [tex]\bold{-2y\left(5-y\right): \ -10y+2y^2}[/tex]

[tex]\bold{6y-24-10y+2y^2}[/tex]

Simplify [tex]\bold{6y-24-10y+2y^2}[/tex]

[tex]\bold{2y^2-4y-24}[/tex]

Multiply the numerator of the left-hand fraction by the denominator of the right-hand fraction. ...

Multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction. ...

Set the two products equal to each other. ...

Solve for the variable.

Answer:

Cross multiplying is literally what you do multiplying diagonally.

Step-by-step explanation:

Here you would multiply 12 by 100% and x by 10.

We convert the percents into decimals first.

So 12 * 1 = 12 and x * 0.1 = x/10

So x/10 = 12

Then we multiply each side by 10.

x = 120.

Answer:

9

Step-by-step explanation:

"For each nickel, she has one dime"

That means she has the same number of nickels and dimes.

"for each dime she has one quarter"

That means she has the same number of quarters and dimes.

She has the same number of each coin.

Let's say she has x coins of each type.

The nickels are worth 0.05x; the dimes are worth 0.10x. The quarters are worth 0.25x. Altogether, the coins are worth

0.05x + 0.10x + 0.25x

We are told her coins are worth $1.20, so we set those two amounts equal and solve for x.

0.05x + 0.10x + 0.25x = 1.20

0.40x = 1.20

x = 1.20/0.40

x = 3

She has 3 coins of each type. Since there are 3 types of coins, she has 9 coins.

Dawn has a total of 9 coins, which include 3 nickels, 3 dimes, and 3 quarters.

The subject of this question is a math problem involving counting coins. In this scenario, dawn has a total of $1.20 in nickels, dimes, and quarters. And the number of nickels, dimes and quarters are equal since for every nickel Dawn has, she also has a dime and a quarter.

Now, the value of a nickel is $0.05, a dime is $0.10 and a quarter is $0.25. So, the total value of a nickel, a dime and a quarter is $0.40. Therefore, since the total amount of money she has is $1.20, we divide that amount by the total value of each group of coins: $1.20 / $0.40 gives us 3.

So Dawn has 3 nickels, 3 dimes, and 3 quarters, for a total of 9 coins.

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Answer:

6050

Step-by-step explanation:

Area = length * width

Area = 110 * 55

Area = 6050

Answer:

6050 sq ft (or you could write 6050ft and a little two at the top right next to it at the end)

Step-by-step explanation:

To find the area of something, you must multiply length x width, so in this situation, you would multiply

110 x 55

that would equal 6,050

Answer:

D is the answer

Step-by-step explanation:

This question requires a calculator

Answer:

The arc length of the partial circle is [tex]6\pi\ units[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

In this problem we have a 3/4 of a circle

so

the circumference is equal to

[tex]C=(\frac{3}{4})2\pi r[/tex]

[tex]C=\frac{3}{2}\pi r[/tex]

we have

[tex]r=4\ units[/tex]

substitute

[tex]C=\frac{3}{2}\pi (4)[/tex]

[tex]C=6\pi\ units[/tex]

Answer:

r = 3072. A 4 is multiplied times each term to arrive at the next term. OR ... divide a2 by a1 to find the common ratio of 3072. :)

Step-by-step explanation:

-3 + 1 = -2

8 + 2 = 10

-2/10 = -1/5

Answer = -1/5

The slope of the line through the points (2, 1) and (8, 3) is calculated using the slope formula and is -1/5.

To find the slope of a line passing through two points, you will need to use the slope formula, which is:

(change in y) / (change in x)or (y2 - y1) / (x2 - x1).

For the points given (–2, –1) and (8, –3), you would calculate the slope as follows:

Slope (m) = (-3 - (-1)) / (8 - (-2)) = (-3 + 1) / (8 + 2) = (-2) / (10) = -1/5.

So, the slope of the line through the points (–2, –1) and (8, –3) is -1/5.

The formula for I in terms of P and R is [tex]I = \sqrt{\frac PR}[/tex]

The formula is given as:

P = I^2R

To rewrite the formula for I in terms of P and R, we start by dividing both sides by R.

So, we have:

I^2 = P/R

Take the square root of both sides

[tex]I = \sqrt{\frac PR}[/tex]

Hence, the formula for I in terms of P and R is [tex]I = \sqrt{\frac PR}[/tex]

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The formula for I in terms of P and R is 2) I = [tex]\sqrt ( PR)[/tex]

How to rewrite the formula for I

The formula is given as:

[tex]P = I^2R[/tex]

To rewrite the formula for I in terms of P and R, we start by dividing both sides by R.

So, we have:

[tex]I^2 = P/R[/tex]

Take the square root of both sides

[tex]I = \sqrt( PR)[/tex]

Hence, the formula for I in terms of P and R is 2)  [tex]I = \sqrt (PR)[/tex]

President Reagan order the CIA to recruit the Contras because of option (c) He thought they were necessary to oust a Communist-leaning government in Nicaragua.

Reagan revolution is defined as the era which is basically referring to the changes that happened America during the reign of the president Ronald Reagan.

Reagan, when ruling had many policies that no other ruler before made into the rule.

Some of his policies includes decreasing the income taxes for the people, decreasing the the budget of government, maintenance of low rate of interest, and the other elimination of useless programs.

Along with this, he aims to eliminate the communism globally.

Nicaragua was a region which was highly affected with communism.

The contras' were the one opposing the communism in Nicaragua.

So CIA assisted this contras along with other anti communist causes under the name Reagan Doctrine.

Hence option c is correct.

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Answer:

m = -3/4

Step-by-step explanation:

We can see two points : (0,1) and (4,-2).

Then we find the change of Y/change of X.

This comes out to -3/4, which is the second answer choice.

Answer: Choice B

Step-by-step explanation:

In order to solve for the amount of commission you need to multiply the amount of the sale times the 5% commission rate.

$600 x .05 = $30

Answer:

$117

Step-by-step explanation:

Add 48 + 19 + 19 + 13 + 13 + 5 = 117

Answer:

Equation: [tex]600=\frac{20b)}{2}[/tex]

Base: 60 feet.

Step-by-step explanation:

The formula for calculate the area of a triangle is:

[tex]A=\frac{bh}{2}[/tex]

Where:

A: is the area of the triangle.

b: is the base of the triangle.

h: is the heigth of the triangle.

Knowing the area of the triangle and its height, you can write the equation:

[tex]600=\frac{20b}{2}[/tex]

Where b is the base in feet of the A-frame house.

To solve it:

Multiply both sides of the equation by 2.

Divide both sides of the equation by 20.

Then:

[tex](2)(600)=(\frac{20b}{2})(2)\\\\1200=20b\\\\\frac{1200}{20}=\frac{20b}{20}\\\\60=b[/tex]

The base of the A-frame house is 60 feet.

Answer:

(P-12)/2 = L

Step-by-step explanation:

1. Start off with an equation in terms of perimeter

P = (2)(6) + (2)(L)

2. Multiply the two and the six

P = 12+ (2)(L)

3. Move the terms around so only "L" is on one side

(P-12)/2 = L

hope this helped :)

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Step-by-step explanation:

Answer:

And for people struggling with simpler answers, here!

Step-by-step explanation:

P-12

———-

2

or

P-12/2

Answer:

[tex]f^{-1}(x)=-\frac{x+9}{5}[/tex];

Step-by-step explanation:

The given linear function is;

[tex]f(x)=-5x-9[/tex]

Let [tex]y=-5x-9[/tex];

Interchange [tex]x[/tex] and [tex]y[/tex] to get;

[tex]x=-5y-9[/tex];

Solve for [tex]y[/tex].

[tex]x+9=-5y[/tex]

Divide both sides by -5

[tex]\frac{x+9}{-5}=y[/tex];

This implies that;

[tex]f^{-1}(x)=-\frac{x+9}{5}[/tex];

Answer:

f⁻¹(x) =  -(x+9) / 5

Step-by-step explanation:

We have given a function.

f(x) = -5x -9

We have to find inverse of given function.

Let y = f(x)

y = -5x-9

Solving above equation for x, we have

x = -(y+9) / 5

Putting x = f⁻¹(y) in above equation ,we have

f⁻¹(y) =  -(y+9) / 5

Replacing y by x, we have

f⁻¹(x) =  -(x+9) / 5 which is the answer.

Answer:

Don't take my word for it but I think it would be 55% chance. I'm Probably wrong.

Step-by-step explanation:

Answer:

9% or 0.09

Step-by-step explanation:

Given, chance of land having oil is 45%. Which is 0.45

So, chance of land NOT having oil is  percent. Which is 0.55

Given, kit's accuracy rate of finding oil as 80%. Which is 0.80

So, kit's accuracy rate of NOT finding oil is   percent. Which is 0.20

These 2 events are INDEPENDENT, which means that the probability of one event occurring does not affect the probability of another event occuring.

The formula, if we let the two evens be A and B, is:

P(A and B)=P(A) * P(B)

Now, "the probability that the land has oil (event A)AND the test predicts that there is no oil (event B)" will be:

P(A and B) = P(A) * P(B)

Hence, the probability is 0.09 or 9%

Using the intersecting chord theorem:

(6 * 1) = (2*x)

Simplify:

6 = 2x

Divide both sides by 2:

x = 6/2

x = 3

Answer:

x = 3

Step-by-step explanation:

You have to use the Intersecting Cord Theorem

(6 * 1) = 2x

multiply what's in the parenthesis

6 = 2x

divide 2 from both sides

3 = x

[tex]12 \div 3 = 4[/tex]

so

[tex]x = 20 \div 4[/tex]

x = 5

Answer:

x = 5

Step-by-step explanation:

Since the figures are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{3}{12}[/tex] = [tex]\frac{x}{20}[/tex] ( cross- multiply )

12x = 60 ( divide both sides by 12 )

x = 5

Answer:

N, the verticle lines are are parallel

Step-by-step explanation:

Answer:

N

Step-by-step explanation:

Note to the wise:  It's letter, not leffer.  

Only N has 2 parallel lines.

Answer:

0.23

Step-by-step explanation:

The first spot to the right of the decimal is the tenths place. Ex. .0

The second spot to the right of the decimal is the hundredths place. Ex. .00

The third spot to the right of the decimal is the thousandths place. Ex. .000

Since you are trying to round to the nearest hundredth you look at the thousandths place. If it is 5 or higher you round up. If it is under 5 you round down.

0.232

Since the 2 is the thousandths place the hundredths stays the same and you drop the thousandths place.

0.23

red triangle

hypotenuse is the longest side of the right triangle; the opposite of the right angle

Answer:

n < 18

Step-by-step explanation:

The condition you are looking for is that

                                         94 + 4.50n < 175

Subtract 94 from each side     4.50n < 81

Divide each side by 4.50                 n < 18

The number of devices must be fewer than 18 for the new plan to cost less than the current plan.

The diagram is a graph of the inequality 94 + 4.50n < 175. Any value of n less than 18 (that is, in the pink zone and not on the vertical dashed line) will satisfy the inequality.

To create a word problem for the equation '1/2 x + 6 = 81', we can imagine a student earning points on a quiz and receiving additional points, with the task to find out how many points they initially earned.

To create a word problem for the equation 1/2 x + 6 = 81, we can consider a real-world scenario. Imagine that a teacher tells a student that they will receive double the number of points they earn on a special quiz and an additional 6 points for their efforts in the classroom. The total points would then put their score at 81 points for the semester. The question is, how many points did the student earn on the special quiz?

To solve the problem, we follow these steps:

The student earned 150 points on the special quiz before the additional points were added.

The number √1/√49 is a rational number.

Given a number √1/√49.

Here the numerator and the denominator includes the square root.

We can see that both the numbers inside the square root is a perfect square.

So the number can actually be written in the integer form.

So,

√1/√49 = 1/7, since 7² = 49

Now rational numbers are numbers which can be written in the form of p/q where p and q are integers with q not equal to 0.

Here the number can be written as 1/7, where 1 and 7 are integers.

Hence it is rational.

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Simplify √-y to √yi

3+ 2y = √yi

Square bot sides

(3 + 2y)^2 = -y

Expand

9 + 12y + 4y^2 = -y

Move all terms to one side

9 + 12y + 4y^2 + y = 0

Simplify 9 + 12y + 4y^2 + y to 9 + 13y + 4y^2

9 + 13y + 4y^2 = 0

Split the second term in 9 + 13y + 4y^2 into two terms

4y^2 + 9y + 4y + 9 = 0

Factor out common terms in the first two terms, then in the last two terms

y(4y + 9) + (4y + 9) = 0

Factor out the common term 4y + 9

(4y + 9)(y + 1) = 0

Solve for y

y = -9/4, -1

Check solution

when y = -9/4, the original equation; 3 + 2y = √-y does not hold true. We will drop y = -9/4 from the solution set.

Therefore,

y = -1

Answer:

9cos(46x) + 9cos(12x)

Step-by-step explanation:

18cos(29x)cos(17x)

According to Product-Sum identities

cos(α)cos(β)= (1/2)[cos(α+β)+cos(α-β)]

Putting α=29x and  β=17x in Product-Sum identity we get

= 18×(1/2)[cos(29x+17x)+cos(29x-1`7x)]

Dividing 18 by 2 we get 9

= 9[cos(46x)+cos(12x)]

Multiplying 9 with both the terms we get

= 9cos(46x)+9cos(12x)