Solve this equation by using the quadratic formula:

The exponent function will be f(x) = 1/3 (4)ˣ. Then the correct option is C.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

At x = 1, the value of y will be 4/3. Then we have

4/3 = ab   ...1

At x = 2, the value of y will be 16/3. Then we have

16/3 = ab²  ...2

From equation 1 and 2, we have

b = 4 and a = 1/3

Then the function will be

f(x) = 1/3 × (4)ˣ.

Then the correct option is C.

More about the exponent link is given below.

https://brainly.com/question/5497425

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Answer:

51

Step-by-step explanation:

Given

[tex]\mu = 51[/tex]

Required

Where will the mean approach if sample size increase

Using central limit theorem, we have:

[tex]n \to \infty[/tex]

[tex]\mu \to \mu[/tex]

This means that; as n approaches infinity, the mean is almost expected to the [tex]\mu[/tex] i.e. expected to remain unchanged.

Hence, the mean value will approach 51.

Answer:

Yes

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\[/tex]

13cm is hypotenuse = c

a is an edge = 5cm

b is an edge = 12cm

This is a right angle triangle

9514 1404 393

Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

Answer: 4 1/2

Step-by-step explanation:

I hope this helps! ^^

Answer:

1. 2

2. 2.4

Step-by-step explanation:

1. 30 + 30 = 60

360 / 60 = 6

6 / 3 = 2

2. 25 + 25 = 50

360 / 50 = 7.2

7.2 / 3 =2.4

I think thats the answer I don't know if im right

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2

the answer is infinitely many solutions, meaning that n can be any real number.

Answer:

 ^^

Step-by-step explanation:

Answer:

You didn't add the range. I'll use (0<x<2π)

cosx = -1/2

x=-cos-¹(1/2)

x= -60°

Cosine is negative in the second and 3rd quadrants

180-x ---- Second quadrant

x+180 ----- 3rd quadrant

So

Our answer

180-(-60)=240° or 4π/3 second quad

180+(-60) = 120° or 2π/3---- 3rd quad

Answer:

a. 180 - 90 + 65

180 - 155 = 25 degrees

b. 5^2 + 6^2 = 61

61 : 7^2 = 49 close enough 8^2 = 64 too much. 7 is your answer.

c. 100 divided by 0.10 = 1000

Answer:

It would be the fourth one

Step-by-step explanation:

Answer:

$15.70 an hour

Step-by-step explanation:

$251.20/16= $15.70

Answer:

200%

Step-by-step explanation:

.1) Calculate fractions value. 2) Multiply the number by 100. 3) Add rhe percent sign % to the value. 2=2*100/100=(2*100)100=200/100=200%.

Answer:

50%

Step-by-step explanation:

40/80 = 0.5.  We multiply this decimal fraction by 100% to obtain the desired percentage:  0.5(100%) = 50%

Answer:

C. 110

Step-by-step explanation:

It decrease each time by 30

230-30=200

200-30=170

170-30=140

So

140-30=110

110 is the correct answer.

Hope this helps!!

Answer:

total balls 5+4 = 9

Probability of getting blue ball in the first try

                                                                   =[tex]\frac{5}{9}[/tex]

After replacing, total number of balls  = 9

Probability of getting blue ball in the second try

                                                                  [tex]= \frac{5}{9}[/tex]

Therefore probabilty of getting 2 blue balls

                                                               =[tex]\frac{5}{9}*\frac{5}{9} =\frac{25}{81}[/tex]

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Answer:

x=−3y+6; x=−4y−6

Step-by-step explanation:

Answer:

did somebody already answer?

I'm asking because I'm about to answer

Answer:

24

Step-by-step explanation:

h(x) = [tex]\frac{1}{2}[/tex]x - 5, x < 0   This formula would be used for h(-30). Since -30 is less than 0.

h(x) = [tex]\frac{1}{2}[/tex]x - 5, x < 0 ← You can now ignore the x<0.

h(-30) = [tex]\frac{1}{2}[/tex](-30) - 5      Input the -30 as x.

h(-30) = [tex]\frac{-30}{2}[/tex] - 5         Simplify

h(-30) = -15 - 5          Simplify further

h(-30) = -20

Next

h(x) = [tex]\frac{1}{5}[/tex]x - 2, x < 0   This formula would be used for h(30). Since 30 is greater than 0.

h(x) = [tex]\frac{1}{5}[/tex]x - 2, x ≥ 0  ← You can ignore the x≥0.

h(30) = [tex]\frac{1}{5}[/tex](30) - 2         Input the 30 as x.

h(30) = [tex]\frac{30}{5}[/tex] - 2              Simplify

h(30) = 6 - 2               Simplify further

h(30) = 4

Finally the problem is asking for h(30) - h(-30) = ?

h(30) - h(-30)    

(4) - (-20)   Substitute the value of h(30) and the value of h(-30).

4 + 20       You distribute the - sign into the parentheses. A negative times a

24             negative is a positive. That is how the equation had become 4 + 20 towards the end. Which is equal to 24.

So the answer is 24.

Answer:

When we have a function:

f(x)

The average rate of change in the interval a < x < b

is given by:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Now for each of the given intervals, let's find the average rate of changes.

q(x) = (x + 3)^2

1)  -6 ≤ x ≤ -4

[tex]r = \frac{(-4 + 3)^2 - (-6 + 3)^2}{-4 - (-6)} = \frac{1 - 9}{2} = -4[/tex]

here the correct option is F.

2) -3 ≤ x ≤ 0

[tex]r = \frac{(0 + 3)^2 - (-3 + 3)^2}{0 - (-3)} = \frac{9}{-3} = -3[/tex]

Here the correct option is D.

3) -6 ≤ x ≤ -3

[tex]r = \frac{(-3 + 3)^2 - (-6 + 3)^2}{-3 - (-6)} = \frac{9}{3} = 3[/tex]

Here the correct option is C

4)  -3 ≤ x ≤ -2

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

Here the correct option is B.

5) -4 ≤ x ≤ -3

[tex]r = \frac{(-3 + 3)^2 - (-4 + 3)^2}{-3 - (-4)} = -1/1 = -1[/tex]

Here the correct option is A

6)  -6 ≤ x ≤ 0

[tex]r = \frac{(0 + 3)^2 - (-6 + 3)^2}{0 - (-6)} = \frac{9 - 9}{6} = 0[/tex]

Here the correct option is E.

Answer:

Volume Original = 471 in³

Volume New = 343.36 in³

Step-by-step explanation:

Radius Original = 5

Radius New = (5) - 0.1(5) = 5 - 0.5 = 4.5

Height original = 6

Height new = (6) - 0.1(6) = 6 - 0.6 = 5.4

Volume original = 3.14 x 25 x 6 = 3.14 x  150 = 471

Volume New = 3.14 x 20.25 x 5.4 = 343.36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

x=0

y= x + 8

Step-by-step explanation:

find the oblique asymptotes using long polynomial divison

Answer:

maybe c sorry if wrong

Step-by-step explanation:

Answer:

Adding 4 and 2

Step-by-step explanation:

PEMDAS

Answer:

Adding 4 + 2 !

Because they are in parenthesis (remember PEMDAS), you do that part of the problem first.

Hope this helps! Have a lovely rest of your day/night! <3

Answer:

−7.5. −7. −6.5. −6. −5.5. −5. −4.5.

Step-by-step explanation:

Answer:

x = √30

Step-by-step explanation:

For an equilateral triangle, the measure of the angle at each vertex is 60 degrees

Thus, the angle 60 faces the side measure x

Also, the given length is adjacent to the angle 60 measure

Mathematically, the trigonometric ratio that links the adjacent and the opposite is the tan

The tan is the ratio of the opposite to the adjacent

Thus;

Tan 60 = x/ root 10

x = root 10 * tan 60

x √(10 * √(3

x = √30

The length of [tex]x[/tex] is required.

The length of [tex]x[/tex] is [tex]\sqrt{30}\ \text{units}[/tex]

In an equilateral triangle the altitude divides the side into halves.

So, the hypotenuse will be [tex]\sqrt{10}+\sqrt{10}=2\sqrt{10}[/tex]

From the Pythagoras theorem we have

[tex]x^2+(\sqrt{10})^2=(2\sqrt{10})^2\\\Rightarrow x=\sqrt{(2\sqrt{10})^2-(\sqrt{10})^2}\\\Rightarrow x=\sqrt{30}[/tex]

The length of [tex]x[/tex] is [tex]\sqrt{30}\ \text{units}[/tex]

Learn more:

https://brainly.com/question/24259115?referrer=searchResults

Answer:

(goF)(-3)=21

Step-by-step explanation:

Answer:

37.1

Step-by-step explanation:

12²=144

39²= 1521

1521-144 =1377

Then find the square root of 1377

=37.1

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Answer:

it depends on how its being answered so i'm going to answer its by what i think it is (20)

Step-by-step explanation:

technically is every piece of clothing in one outfit like one different sock to the same parts of an outfit is the same thing right?

i answered this the best i could im sorry if it wrong