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x=102°

Answer:

x+78=180 supplementary angle

x=180-78=102

Answer:

(4,11/2)

Step-by-step explanation:

5x-2y=9

12x-8y=4

A quick look will tell us that neither the x- nor the y- coefficient is the same in both equations, so combining the two by addition or subtraction. We can see that 2 is a multiple of 8, since 2 x 4 = 8. We should multiply the first equation by 4.

4(5x-2y=9)

Now we need to decide if we should add or subtract the equations.

20x-8y=36

12x-8y=4

Since we need to have a -8 and a +8 to eliminate the variables, we should subtract them. Change all the signs of the second equation and combine.

20x-8y=36

-12x-8y=4

----------------

8x=32

Divide both sides by 8 to get the x-value:

[tex]\frac{8x}{8} = \frac{32}{8}[/tex]

x=4

Now that we have our x-value, we need to plug in the y-value.

5x-2y=9

5(4)-2y=9

20-2y=9

-2y=-11

y=11/2

So our solution is (4,11/2)

Let's check our work.

5x-2y=9

5(4)-2(11/2)=9

20-22/2=9

20-11=9

9=9

12x-8y=4

12(4)-8(11/2)=4

48-88/2=4

48-44=4

4=4

Our solution is correct.

Answer:

x=4,y=11/2

Step-by-step explanation:

5x−2y=9

12x−8y=4

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

5x−2y=9,12x−8y=4

To make 5x and 12x equal, multiply all terms on each side of the first equation by 12 and all terms on each side of the second by 5.

12×5x+12(−2)y=12×9,5×12x+5(−8)y=5×4

Simplify.

60x−24y=108,60x−40y=20

Subtract 60x−40y=20 from 60x−24y=108 by subtracting like terms on each side of the equal sign.

60x−60x−24y+40y=108−20

Add 60x to −60x. Terms 60x and −60x cancel out, leaving an equation with only one variable that can be solved.

−24y+40y=108−20

Add −24y to 40y.

16y=108−20

Add 108 to −20.

16y=88

Divide both sides by 16.

y=11/2

Substitute 11/2 for y in 12x−8y=4. Because the resulting equation contains only one variable, you can solve for x directly.

12x−8x11/2=4

Multiply −8 times 11/2.

12x−44=4

Add 44 to both sides of the equation.

12x=48

Divide both sides by 12.

x=4

The system is now solved.

x=4,y=11/2

Answer:

see below

Step-by-step explanation:

1. 4 + 4w

2. 18w + 9

3. 18 + 6x

4. 21x + 42

5. 25x + 45

Hope this helps!

option D is true statement. that is the absolute value of the negative number will decreases with decreases in negative number.

What is Absolute value of a number?

Absolute value describes the distance from zero that a number is on the number line, without considering its direction that is the absolute value of a number is never negative.

In other words Absolute value is the modulus of any number.

A ) False :  the absolute value of the positive number will increase with increase in positive number.

B )  False :  the absolute value of the positive number will decreases with decreases in positive number.

C)   False :  the absolute value of the negative number will increase with increase in negative number.

D)  TRUE:  the absolute value of the negative number will decreases with decreases in negative number.

Therefore, option D is true.

Read more about absolute value at:

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Answer:

210 degrees

Step-by-step explanation:

Convert the problem from radians to degrees using the ratio 180/ and it will give you 210.

9514 1404 393

Answer:

  c.  x + 6

Step-by-step explanation:

The factorization is ...

  x(x -3)(x -6)

The factor on the list that is not part of the above expression is (x +6).

_____

More detail

Factoring x from each term gives ...

  x(x^2 -9x +18)

Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).

  = x(x -3)(x -6)

Answer:

Volume = 52.5

Step-by-step explanation:

volume of a rectangular 3d shape can be calculated by length*width*height. In this case:

7*10*0.75 = 52.5

Answer:

S = [tex]\frac{36}{25}[/tex]

Step-by-step explanation:

Given expression is,

S = [tex]\sqrt[3]{[(\frac{3}{2})^{-2}+6^{-3}+(\frac{3}{2})^{-3}-6^{-1}}]^{-2}[/tex]

S = [tex]\sqrt[3]{[(\frac{2}{3})^{2}+(\frac{1}{6})^{3}+(\frac{2}{3})^{3}-(\frac{1}{6})}]^{-2}[/tex]

   = [tex]\sqrt[3]{[\frac{4}{9}+\frac{1}{216}+\frac{8}{27}-\frac{1}{6}}]^{-2}[/tex]

   = [tex]\sqrt[3]{(\frac{96+1+64-36}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{125}{216})^{-2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})^{2}}[/tex]

   = [tex]\sqrt[3]{(\frac{216}{125})\times (\frac{216}{125})}[/tex]

   = [tex]\sqrt[3]{(\frac{6\times 6\times 6}{5\times 5\times 5})\times (\frac{6\times 6\times 6}{5\times 5\times 5})}[/tex]

   = [tex]\sqrt[3]{(\frac{6}{5})^3\times (\frac{6}{5})^3}[/tex]

   = [tex]\frac{6}{5}\times \frac{6}{5}[/tex]

   = [tex]\frac{36}{25}[/tex]

Answer:

293.27

Step-by-step explanation:

418.96 x  .7 = 293.27

Answer:

In words - thirty-nine ninths minus twenty-five ninths = fourteen ninths.

Answer:

I don't understand what you mean. but 10.43 i guess

Answer:

B, 48 inches

Step-by-step explanation:

First calculate the area of the parallelogram: 4 x 6

4 x 6 = 24

Then calculate the area of the triangle: 4 x 6

4 x 6 = 24

Then you add the two areas: (4 x 6) x 2 or 24 x 2

24 x 2 = 48

Therefore, your answer is B, 48 inches

Answer:

36

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

The range is the difference between the highest and the lowest numbers in the number set.

The highest number in this set is 677 and the lowest number is 619.

677 - 619 = 58

Answer:

S = -4

Step-by-step explanation:

-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.

Answer:

s-4+4=-8+4

s=-4

Step-by-step explanation:

x is equal to -4

Answer:

your answer is 48feet

Step-by-step explanation:

16+12+4+16=48ft

I hope this helps

have a nice day/night

mark brainliest please ")

Answer:

15

Step-by-step explanation:

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

We have,

To write an exponential growth function to find the monthly growth rate, use the following formula:

[tex]P(t) = P_0 (1 + r)^t[/tex]

Where:

P(t) is the population at time t

P₀ is the initial population (350 in this case)

r is the growth rate per time period (monthly rate in this case)

t is the time in the corresponding time period

To find the monthly growth rate.

[tex]= (1 + r)^{1/12} - 1[/tex]

= [tex](1 + 0.03)^{1/12} - 1[/tex]

= 0.02493

= 2.493 %

Therefore,

The exponential growth function to find the monthly growth rate is:

[tex]P(t) = 350~ (1 + 0.02493)^t[/tex]

Learn more about exponential growth functions here:

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Answer:

4, 5, 6

Step-by-step explanation:

- 6m < -24

-m < -4

m > 4

m has to be greater than 4

Answer:

Hello your question has some missing information below is the missing information

Sample mean  and Sample standard deviation

Bass 70.99  and   2.52

Tenor 69.41   and  2.79

answer : We will reject H0

Step-by-step explanation:

Determine whether the population mean height of bass singers > population mean height of tenor singers

n1 = 64 ,   n2 = 42

x1 ( mean ) = 70.99

x2( mean ) = 69.41

S1 ( std 1 ) = 2.52

S2 ( std 2 ) = 2.79

We will perform a two tailed test hence we will state the null and alternate hypothesis

H0 : μ1 > μ2

H1 : μ1 < μ2

significance level = 0.01

next calculate the test statistic

t = 2.96

attached below is the remaining part of the detailed solution

Answer:

it is positive 3/4

Step-by-step explanation:

it is the opposite of -3/4

Answer:

it would be a positive 3/4

Answer:

0.4 = 40% probability the marble is even numbered given the marble is yellow.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 5 yellow marbles, which means that the number of total outcomes is [tex]T = 5[/tex]

2 of those(2 or 4) are even numbered, which means that the number of desired outcomes is [tex]D = 2[/tex]

Find the probability the marble is even numbered given the marble is yellow.

[tex]p = \frac{D}{T} = \frac{2}{5} = 0.4[/tex]

0.4 = 40% probability the marble is even numbered given the marble is yellow.

Answer:

A and E

Step-by-step explanation:

It's def not c or d, I think it's a.

Answer:

Mean = 2.40

Standard deviation = 1.356

Step-by-step explanation:

Given the data:

X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total

P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00

The mean [E(X)]

Σx*p(x)

(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4

The standard deviation :

Std(x) = sqrt[VAR(x)]

Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2

Var(X) = 7.6 - 5.76 = 1.84

Std(X) = sqrt(1.84) = 1.356 (3 decimal places)

Answer: Bryce purchases the car of his dream by financing the entire cost of the car with a high interest bank loan.

Step-by-step explanation: Please mark brainliest I am trying to level up

tan²(x) - sin²(x) = sin²(x)/cos²(x) - sin²(x)

… = sin²(x) (1/cos²(x) - 1)

… = sin²(x) (sec²(x) - 1)

… = sin²(x) tan²(x)

Answer:

Step-by-step explanation:

Answer:

99% of the confidence level  of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)

Step-by-step explanation:

Step(i):-

Given that the sample size 'n' = 100

Given that the mean of the sample(x⁻) = 39

Given a standard deviation of the sample (σ) = 6

Level of significance = 0.01 or 99%

Step(ii):-

99% of the confidence level  of the mean WR score for all convicted drug dealers

[tex](x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } ,x^{-} + Z_{0.01} \frac{S.D}{\sqrt{n} })[/tex]

[tex](39 -2.576 \frac{6}{\sqrt{100} } ,39 + 2.576 \frac{6}{\sqrt{100} })[/tex]

(39 - 1.5456 , 39+1.5456)

(37.4544, 40.5456)

Final answer:-

99% of the confidence level  of the mean WR score for all convicted drug dealers

(37.4544, 40.5456)