What is the greatest common factor of 9 and 48?

Let [tex]x[/tex] be the "given angle" mentioned here. Then its complement indeed has measure [tex]90-x[/tex], and its supplement [tex]180-x[/tex].

Now translate the following sentence into an equation:

"The supplement of a given angle is 10° more than twice its complement."

[tex]\implies 180 - x = 10 + 2 (90 - x)[/tex]

Solve for [tex]x[/tex].

[tex]180 - x = 10 + (180 - 2x)[/tex]

[tex]180 - x = 190 - 2x[/tex]

[tex]2x - x = 190 - 180[/tex]

[tex]\boxed{x = 10}[/tex]

v(x) = 12 - 2x - 5

The regular price of the sofa if 66% is given off, is $680.00

What is regular price?

The regular price of the sofa is the price at which it is sold without considering the coupon of 66%, in essence, it is 100% of the original price of the sofa, in short, if 66% is given off, then the sale price is 34% of the original price

34% of regular price=$231.20

1% of regular price=231.20/34

1% of regular price=$6.80

100% of regular price=$6.80*100

100% of regular price=$680

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Full question

A sofa is on sale for 66% off. the sale price is $231.20 . what is the regular price?

:

Deliberate bias is the correct answer.

Bias is the tendency of a statistic to overestimate or underestimate a parameter or result. It can be intentional or unintentional. They threaten the accuracy of the collected data. Deliberate bias is the misrepresentation of data to advance an agenda that is done purposely.

The extract of the results of an experiment is changed intentionally for personal benefit in terms of monetary, scientific, personal, or ideological purposes through deliberate bias.

This bias occurs when a group of people wants to control the collected information to move in a certain predetermined direction and receive various benefits that would promote themselves in the area of interest.

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Answer:

d is the correct answer

Step-by-step explanation:

m∠ABC = 68°; m∠DEF = 112°

Answer:

D is correct

Step-by-step explanation:

Supplemental angles add to 180

6x + 8 + 12x -8 = 180  Combine line terms

18x = 180  Divide both sides by 18

x  = 10

Substitute 10 in for x

ABC

6x + 8

6(10) + 8

60 + 8

68

DEF

12x - 8

12(10) - 8

120 - 8

112

Answer:

Step-by-step explanation:

A 2% decrease each year means that the population at the end of a year is 98% of what it was at the start of the year.  Apply this for t consecutive years and you get the relation

P(t) = Po (0.98)t

Po = 100,000

P(t) = 100,000 (0.98)t

Answer:

38°

Step-by-step explanation:

1. Angles subtended at the circumference is half at the centre. Therefore angle at the centre is 61x2=122

2. Isosceles triangle have equal base angle. 19°

3. Tangent subtends 90° with the radius.

4. 90-19=71

5. 71x2=142°

6. Angles in a triangle add up to 180°

180-142=38°

Answer:

4 or -4

Step-by-step explanation:

The number on top (the numerator) is the absolute value of 8.  This is just asking the distance from 0.  8 is 8 units away from zero, but so is -8.

So the answer could be [tex]\frac{8}{2}[/tex] or [tex]\frac{-8}{2}[/tex], the answer simplified would be 4 or -4

Answer:[tex]f\left(x\right)\le \:0[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\le \:0\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:0]\end{bmatrix}[/tex]

Answer:

the answer isssssssssssssß

The given equation is 8p + 4 = −9 + 7p.The value of p is -13.

The required solution for the given equation is p = -13

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1.There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Now the given equation is,

8p + 4 = −9 + 7p

Solving them,

Taking variables to one side and constant to another, we  get

8p-7p=-9-4

p=-13

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Answer:

108°

Step-by-step explanation:

the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

We are given an equation:

√(2 x +9) - √x = 3

√(2 x +9) = 3 + √x

Raise both sides to the power 2, we get that:

2 x + 9 = 9 + x + 6√x

x = 6√x

Squaring both sides again, we get that:

x² = 6 x

x² - 6 x = 0

x ( x - 6) = 0

x = 0 or x = 6.

Therefore, we get that, the extraneous solution for the equation √(2 x +9) - √x = 3 is x = 0 or x = 6.

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Answer:

11 more yards per minute on Path B.

Step-by-step explanation:

Path A: 672 yards in 6 minutes = 112 yards per minute.

Path B: 984 yards in 8 minutes = 123 yards per minute.

123 - 112 = 11 yards per minute longer on Path B.

Answer:

156 yards per minute

Step-by-step explanation:

first off remember to have a label

it is change in Y over change in X so

984-672/ 8-6

you could get 312/2

which equal 156

I attached a photo to make it clear

Answer:

i think its 10 sets of 2 winners

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D [tex]y = - 5 - 17[/tex]

Step-by-step explanation:

To make y the subject of formula in:

[tex]5x + y = - 17[/tex]

Mover 5x to the other side of the equation which makes it -5x due to the equality sign

Therefore:

[tex]y = - 5 - 17[/tex]

Answer:

5w^3+8w^2-14w-5

Step-by-step explanation:

Answer:

domain is horizontal and range is vertical

Step-by-step explanation:

domain is left to right so you look for farthest point on the left side and range you look for the highest point

answer is 38

good right?

Answer:

  3.7%

Step-by-step explanation:

You want the annual interest rate that results in an investment of $6000 growing to a value of $7351.81 in 5.5 years, when the interest is compounded monthly.

The value of an account in which principal P is invested for t years at annual rate r compounded n times per year is ...

  a = P(1 +r/n)^(nt)

For this problem, we have ...

These values make the equation be ...

  7351.81 = 6000(1 +r/12)^(12 ·5.5) . . . . . . equation with given values

  (7351.81/6000) = (1 +r/12)^66 . . . . . . . . divide by 6000

  (7.35181/6)^(1/66) = 1 +r/12 . . . . . . . . . . rewrite fraction, take 66th root

  (7.35181/6)^(1/66) - 1 = r/12 . . . . . . . . . subtract 1

  (12)((735181/6)^(1/66) -1) = r ≈ 0.03700003

The interest rate is about 3.7%.

Value for f(x)  = x² - 12x + 35

Given :

             (f⁰g)(x) = x²-6 x+8

                 g(x) = x-3

Now ,

            (f⁰g)(x) = f(g(x))

         x²-6 x+8 = f(x-3)

let x = x-3

              f(x)  = (x-3)² - 6(x-3) + 8

              f(x)  = x² + 9 - 6x - 6x + 18 +8

              f(x)  = x² - 12x + 35

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Answer:

it's either 6 or -6 because if uts Like negative and positive then it should be either one of those

Answer:

Step-by-step explanation:

34

The height of the hill is 12.8 cm.

What is Gravitational potential energy?

The gravitational potential energy of an object is given by:

U = mgh

where,

m is the mass of the object.

g is the acceleration of gravity.

h is the height of the object.

Given that;

The potential energy = 100 J,

In this problem, we have;

The potential energy of the person is = U = 100 J

The mass of the person = m = 80 kg

Now, Solving for h, we find at what height the person is:

h = U /mg

h = 100 / 80*9.8

h = 12.8 cm

Hence, The height of the hill is 12.8 cm.

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Answer:

x<-5

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3 = [tex]\frac{30}{10}[/tex] , then

[tex]\frac{30}{10}[/tex] ÷ [tex]\frac{3}{10}[/tex]

= [tex]\frac{30}{10}[/tex] × [tex]\frac{10}{3}[/tex] ( cancel the 10's )

= [tex]\frac{30}{3}[/tex]

= 10

Answer:

C 2

Step-by-step explanation:

Slope is change is y over the change in x

[tex]\frac{5- (-1)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

Answer:

C. 2

Step-by-step explanation:

The inverse of an exponential function with a base e is the logarithm.

A logarithm is defined simply?

How does exponential growth utilise e?

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Answer:

9. (1/3)

10. (0, -2)

11. y = (1/3)x - 2

Step-by-step explanation:

(x₁, y₁) and (x₂, y₂)

(-3, -3)        (0, -2)

9.      

        y₂ - y₁         -2 - (-3)      -2 + 3         1

m = ------------ = ------------ = ------------ = -------

        x₂ - x₁         0 - (-3)        0 + 3         3

10.

y = (1/3)x - 2

y = -2

y-intercept: (0, -2)

11.

y - y₁ = m (x - x₁)

y - (-3) = (1/3) (x - (-3)

y + 3 = (1/3) (x + 3)

y + 3 = (1/3)x + 1

    -3              -3

y = (1/3)x - 2

I hope this helps!

Answer:

aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3

Step-by-step explanation:

A geometric sequence can be expressed recursively using the following general equation

aₙ = r . (aₙ₋₁), n ≥ 2
where
aₙ is the nth term
a₁ is the first term of the geometric sequence

r is the common ratio = aₙ/aₙ₋₁

Here we have the terms 3, 6, 12, 24, 48

The common ratio r = 6/3 = 12/6 = ....... = 48/24 = 2

The first term a₁ =  3

So the recursive relation is
aₙ = 2aₙ₋₁  for n ≥ 2
a₁ = 3