Given that line CD is a perpendicular bisector of triangle ABC, if side AB has a length of 6 and side AC has a length of 12 what is the length of side CD? Write your answer to the
nearest hundredth ie 179.50.

The years where the spending will be more than $89 billion are: after 2009, i.e., 5 years after 2004, as found by basic algebra.

Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.

Given: y = 14.4x + 17,

where: x = number of years after 2004

y = amount spent by businesses

To find: number of years where spending

$89 billion.

Finding:

We are given: y = 89, for which, we have to find the x, i.e., the number of years.

By basic algebra, substituting the value of y and solving for x:

89 = 14.4x + 17

72 = 14.4x

x = 5

Hence, The years where the spending will be more than $89 billion are: after 2009, i.e., 5 years after 2004, as found by basic algebra.

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Answer:

2r+24

Step-by-step explanation:

The number is R · R is added to 12 : R + 12. Double the result: 2 (R + 12). = 2 R + 24. So the answer is ultimatley 2r+24.

Answer: 2R+24

Step-by-step explanation:

(R+12)*2= ==> multiplication comes before addition, so in order to indicate that addition occurs before multiplication, there should be parentheses around

2(R+12)=

2R+2*12=2R+24

Answer:

2.1 x 10^8 compared to 1.9 ×10^6 is 110.53 times greater.

Answer:

Step-by-step explanation:

About how many times as great is 2.1 x 10^8 compared to 1.9 ×10^6

Answer:

56.25

Step-by-step explanation:

9/4×25

=225/4

=56.25

Answer:

Step-by-step explanation:

AnAnAn

Answer: 48 represents total amount and s represents scarves

Step-by-step explanation:

It tells you when you read the sentence carefully.

Answer:

She have to study 4 hours and 42 minutes to get 93 marks.

Step-by-step explanation:

when she studied 4 hours she got 79

when she studied 1 hour she got 4/79

[tex]4 \div 79\times 93[/tex]

is the time when she got 93

= 4.70

It means the time will be 4 hours 42 minutes

Answer:

1. A U C = {a, b, c, d, e}

2. B intersect A = {a, b, d}

3. B' = {c, f, g, h}

4. A - (B intersect C') = {a,c}

Step-by-step explanation:

U is a big set with all the letters a through f in it. Set A, B, and C are subsets of U. They have some of the letters in them. You could pick out the contents of set A, for example, from set U. Same with B and C. There's a little bit of overlap between A and B and C.

So for #1, the U shaped symbol means "Union" and you can remember that because of the U shape symbol. "Union" means throw everything in all together. A U C means all of A and all of C all together. But you don't have to write repeats, just list the letters once.

A is {a,b, c, d} and C is {a, e} so A U C is all of both of them:

{a, b, c, d, e}

The upsidedown Usymbol is "intersect" and that is only what the two sets have in common (whats the same) between the two sets.

BintersectA is what is the same in B{b,e,a,d} and A{a,b,c,d}. They both have a, b and d so that is the answer to BintersectA = {a,b,d}

The "apostrophe" looking mark means "Not this set". So B' means NotB. You list everything that is NOT in B. B is {b,e,a,d} so B' is NotB = {c,f,g,h}

The last one has what looks like a minus sign. Thats like normal "takeaway" along with parenthesis, use that normally like grouping/"do this first" and also intersect and Not. So basically all the work, all in one problem.

C = {a,e} so C' is NotC is {b,c,d,f,g,h}

The BintersectC' is what are the same beween B and NotC:

BintersectC' = {b,d}

A take away {b,d}

would be

{a,b,c,d} - {b,d}

= {a,c}

Answer:

12

Step-by-step explanation:

So: 2x-8=4+x

x-8=4

x=12

Answer:

72

Step-by-step explanation:

(6)^2+7(6)-6

36+42-6

72

Answer:

true

Step-by-step explanation:

its true frfr

Answer:

It is the 60 simplified

Hope I've helped

Answer:

Hello,

Step-by-step explanation:

[tex]9x^3+2x-4=(3x-2)*(3x^2+2x+2) \\Remainder\ is\ 0\\\\if\ x \neq \dfrac{2}{3} \\\\\dfrac{9x^3+2x-4}{3x-2}=\dfrac{(3x-2)*(3x^2+2x+2) }{3x-2} =3x^2+2x+2[/tex]

Answer:

−19 5/7

None of the options match the answer

Step-by-step explanation:

−9 2/7 −10 3/7

=−65/7 −10 3/7

= −65/7 −10 3/7

= −65/7 − 73/7

= −138/7

= −19 5/7

He gained $330 of interest in the three months.

Here we will use the Simple interest formula

Simple Interest (SI) = Simple Interest (SI)

initial principal balance = P = 24000

annual interest rate = r = 5.5

time (in years) = t = 3 months out of 1 year

                            = 3/12 = 1/4

Lets substitute the values in the formula

Simple Interest (SI) = (P × R × T)/100

                                = (24000 × 5.5 × 1/4)/100

                                = 330

Simple interest is a quick and straightforward approach to figure out how much interest has accrued on a sum of money. Interest is always applied to the main sum, and there is a constant rate of interest applied during the course of the calculation.

Any bank where we deposit money pays us interest on the amount when we do so. There are other forms of interest charged by banks, but simple interest is one of them. To begin with, let's define a loan before delving further into the idea of simple interest.

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Answer:

The sale price is 59.40$

Step-by-step explanation:

Divide 99$ by 100, then multiply it by 60 because that's how much of that original price is left

brainliest pls have a good day

Step-by-step explanation:

[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]

Coefficient of x is 3

It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.

[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]

[tex] = \left(2187 x^{7} + 10206 x^{6} + 20412 x^{5} + 22680 x^{4} + 15120 x^{3} + 6048 x^{2} + 1344 x + 128\right)\cdot \left(x^{7} - 7 x^{6} + 21 x^{5} - 35 x^{4} + 35 x^{3} - 21 x^{2} + 7 x - 1\right)=2187 x^{14} - 5103 x^{13} - 5103 x^{12} + 17577 x^{11} + 4347 x^{10} - 26649 x^{9} - 1869 x^{8} + 22931 x^{7} + 1246 x^{6} - 11844 x^{5} - 1288 x^{4} + 3472 x^{3} + 672 x^{2} - 448 x - 128 [/tex]

Answer:

y = 3

Step-by-step explanation:

Points: (1, y), (-5, -1)

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (-1 - y)/(-5 - 1) = (-1 - y)/(-6)

slope = 2/3

(-1 - y)/(-6) = 2/3

Multiply both sides by -6.

-1 - y = -6 × 2/3

-1 - y = -12/3

-1 - y = -4

-y = -3

y = 3

Answer:

  [tex]\textsf{C}\quad f^{-1}(x)=24-6x[/tex]

Step-by-step explanation:

You want the inverse function of f(x) = 24 -x/6.

The function relates x to y by y = f(x). The inverse function gives the reverse relation: x = f(y). Solving this for y gives the inverse function in the form you want.

  x = f(y)

  x = 4 -y/6 . . . . . use definition of f(x)

  6x = 24 -y . . . . multiply by 6

  y = 24 -6x . . . . add y-6x

  f⁻¹(x) = 24 -6x . . . . write using function notation

Answer: t<=-4 ==> -12, -5, -8, -4, -7

Step-by-step explanation:

t/4<=-1

t/4 * 4<=-1*4

t*4/4<=-4

4t/4<=-4

t<=-4 ==> -12, -5, -8, -4, -7

Answer:

-4,-5,-7,-8, and -12

Step-by-step explanation:

[tex]\frac{t}{4} \leq -1[/tex]
[tex]t\leq -4[/tex]

Therefore t has to be less than or equal to -4
So in the values provided, x can be -4,-5,-7,-8, and -12

The equivalent inequality would be [tex]t\leq -4[/tex].

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The ordered pairs that solve the system of inequalities is given by:

(3, -2), (1, -1).

To verify if an ordered pair solves a system of inequalities, we have to verify if it respects all conditions.

For this problem, the conditions are given as follows:

For the ordered pair (0,3), we have that:

x - 3y  = -9 < 1, hence it does not respect.

For the ordered pair (-1,1), we have that:

-1 -3 = -4 < 1, hence it does not respect.

For the ordered pair (3,-2), we have that:

For the ordered pair (4,0), we have that:

For the ordered pair (2,3), we have that:

2 - 3(3) = -7 < 1, hence it does not respect.

For the ordered pair (1,-1), we have that:

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The inequality for a child up to and including 26 lb is the third option showing correct number line of inequality.

Given that the inequality is 0<x<=26.

We are required to choose the option which shows the correct number line of inequality.

Inequality is like an equation which shows the relationship between two or more variables but in greater than,less than,greater than or equal to ,less than or equal to signs.

Because we have to include 26 in the inequality so we need to fill the circle on 26. So, the correct option showing the correct inequality is third.

Hence the inequality for a child up to and including 26 lb is the third option showing number line of inequality.

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Work Shown:

x = some unknown number

2x = twice the number

2x+x = add on the number

2x+x = 87

3x = 87

x = 87/3

x = 29

Answer:

it should be 7 minutes not sure because i got a slightly different answer but still gonna try

Step-by-step explanation:

1.70+26 = 1.96

1.96x7 = 13.72

The height of the tree is 186 inches if Shadow of tree is 523 inch shadow of human is 180 inch height of human is 64 inch.

Cross multiplication occurs when the numerator of the first fraction is multiplied by the denominator of the second fraction, and the numerator of the second fraction is multiplied by the denominator of the first fraction.

We have given information that

Shadow of tree = 523 inch

Shadow of human = 180 inch

Height of human = 64 inch

height of tree = x

Lets solve this with cross multiplication

⇒ [tex]\frac{64}{180} = \frac{x}{523}[/tex]

⇒ 180 × x = 64 × 523

⇒ x = (64 × 523)/180

⇒ x = 185.95

       = 186 approx.

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0.925 as a percentage is 92.5 and as a simplified fraction is 37/ 40, that is, option A.

Here, we are given a decimal number- 0.925

we can write the number as follows-

0.925 = 925/1000

dividing both the numerator and denominator by 25 we get-

37/40

Thus, the number 0.925 as a simplified fraction comes out to be 37/ 40.

Now, we need to convert it into percentage form. Per cent simply means the value of a number per 100.

We can simply multiply 925/ 1000 by 100 to get the percent value as follows-

925/ 1000 × 100

= 925/ 10

= 92.5

Thus, 0.925 as a percentage is 92.5%.

Hence, option A, is the correct option.

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By using the given graph, we can see that f(-5) = 3.

Here we have an image with the graph of the function y = f(x).

Remember that each point on that grid has the coordinates (x, y), where the values of x are on the horizontal axis, and the values of y are in the vertical axis.

So, if we want to find f(-5), then we want to see what value of y takes f(x) when x = -5.

So, first we need to go to the horizontal axis and find x = -5.

Once we find that value, now we need to move up or down along a vertical line (depending on where is the graph of the function). In this case we would move upwards. Now, count how many units we move up until we hit the graph of the function, that number of units will be the value of y.

In this case, we need to move 3 units upwards to hit the graph, then we have y = 3.

This means that the value of the function when x = -5 is y = 3, so we can write:

f(-5) = 3

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Answer: 24 ==> B

Step-by-step explanation:

3*3^2+8/2 -(4+3)=

3*9+4-7=

27-3=24 ==> B