Solve for x and find the
missing angles :)

Answer:18.2

Step-by-step explanation: you add them up and and divide them

Answer:

What are the answer choices?

Step-by-step explanation:

3:

h(x)=(-3x-15)/5

let y=(-3x-15)/5

interchanging role of x &y

x=(-3y-15)/5

5x+15=-3y

y=-(5x+15)/3

h-1(x)=-(5x+15)/3

not

equal to f(x)=(-3x-6)/4

Given function are not function of each other .

4:

g(x)=2/3x-2/3

let

y=2/3(x-1)

interchanging role of x &y

x=2/3(y-1)

3/2x+1=y

g-1(x)=3/2x+1

not equal to f(x)=½x+1

Given function are not function of each other .

Problem 1

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

Explanation:

One way to see if we have an inverse pair or not is to compute these two composite functions

If both result in x, and just that, then we have shown that they are inverses of one another.

f(x) = (2x)/3

f(x) = (2/3)x

f(g(x)) = (2/3)*g(x)

f(g(x)) = (2/3)*(3/2)x

f(g(x)) = x

The steps to show that g(f(x)) = x are very similar

g(x) = (3/2)x

g(f(x)) = (3/2)*f(x)

g(f(x)) = (3/2)*(2/3)*x

g(f(x)) = x

So this verifies that you have the correct answer.

======================================================

Problem 2

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

Explanation:

We'll use the same idea as problem 1

f(x) = 2 - (3/4)*x

f(g(x)) = 2 - (3/4)*( g(x) )

f(g(x)) = 2 - (3/4)*( (-4/3)x + 8/3 )

f(g(x)) = 2 - (3/4)*(-4/3)x  - (3/4)*(8/3)

f(g(x)) = 2 + x - 2

f(g(x)) = x

So far so good, but we need to check the other way around as well

g(x) = (-4/3)x + 8/3

g(f(x)) = (-4/3)*( f(x) ) + 8/3

g(f(x)) = (-4/3)*( 2 - (3/4)*x ) + 8/3

g(f(x)) = (-4/3)*(2) + (-4/3)*(-3/4)*x + 8/3

g(f(x)) = -8/3 + x + 8/3

g(f(x)) = x

This verifies that f(x) and g(x) are inverses of each other.

Problems 3 and 4 will have similar steps.

Answer:

3/4

Step-by-step explanation:

2/3a=1/3+1/6

2/3a=3/6

a=1/2x3/2

a=3/4

Answer:

Step-by-step explanation:

Solution :

95% confidence interval for the difference between the means of ACT scores between two schools, is given by :

[tex]$[(\overline X_1 - \overline X_2)-ME, (\overline X_1 - \overline X_2)+ME]$[/tex]

[tex]$\overline X_1 = 25.90 , \ \ \ \overline X_2 = 27.70$[/tex]

[tex]$S_1=3.49, \ \ \ S_2 = 2.47$[/tex]

[tex]$n_1=39, \ \ n_2=37$[/tex]

M.E. , Margin of error,

[tex]$=t_{n_1+n_2-2,0.025} \times \left( s \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}$[/tex]

[tex]$s^2 = \frac{(n_1-1)S_1^2+(n_2-1)S^2_2}{n_1+n_2-2}$[/tex]

  [tex]$=\frac{38(3.49)^2+36(2.47)^2}{39+37-2}$[/tex]

 = 9.222

s = 3.03

[tex]$t_{74,0.05} = 1.99$[/tex]

[tex]$M.E. = 1.99 \times 3.03 \times \sqrt{\frac{1}{39}+\frac{1}{37}}$[/tex]

        = 1.4

Therefore, 95% CI = [(25.90-27.70) - 1.4 , (25.90-27.70) + 1.4]

                              = [-3.2, -0.4]

Therefore, the lower bound is -3.2

Answer:

c

Step-by-step explanation:

the kitten would be gray

there are four lateral faces

Answer:

1

2

4

Step-by-step explanation:

9514 1404 393

Answer:

  A)  15

Step-by-step explanation:

The angle where the tangent meets the radius is 90°, so the Pythagorean theorem applies to this right triangle.

  ?² +8² = 17²

  ?² = 289 -64 = 225

  ? = √225 = 15

The unknown side length is 15.

Answer:

lenght indicated appear to be tangent

Answer:

3/10

Step-by-step explanation:

From the question :

Let amount rytis get = x

Hence, amount Linda gets = 3x

Hence, amount Adam gets = 2 times what Linda gets = 2(3x) = 6x

Hence, total amount shared :

x + 3x + 6x = 10x

Amount Linda got = 3x

Therefore, fraction Linda gets = Amount gotten by Linda / total amount = 3x / 10x = 3/10

Hence, fraction gotten by Linda = 3/10

The fraction of the amount of money does Linda gets is 3/10 and this can be determined by using the arithmetic operations.

Given :

The following steps can be used in order to determine the fraction of the amount of money does Linda get:

Step 1 - Let the total amount of money Rytis get be 'x'.

Step 2 - So according to the given data, the total money Linda has is 3x.

Step 3 - According to the given data, the total money Adam has is 2(3x).

Step 4 - So, the total amount of money shared is:

x + 3x + 6x = 10x

Step 5 - So, the fraction of the amount of money does Linda get is:

[tex]\rm =\dfrac{3x}{10x}[/tex]

[tex]= \dfrac{3}{10}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/25834626

Answer:

Step-by-step explanation:

Answer: it’s 959cm squared.

Step-by-step explanation:

The total surface area of the new box will be C) 959 square centimeters.

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The surface area of this rectangular prism = 2( lb + bh + hl)

We are given that height of the box is 4 cm.

Also that height of the original box will be increased by 3.5 centimeters so a new instruction manual and an extra battery can be included.

The surface area of this rectangular prism = 2( lb + bh + hl)

= 2(18 x 13.5 + 13.5x 7.5 +  18 x 7.5)

= 958.5

= 959 cm sq.

Therefore, the correct option is C.

Learn more about a rectangular prism;

https://brainly.com/question/21308574

#SPJ2

Answer:

[tex]V=6x^3+3x^2[/tex]

Step-by-step explanation:

The given figure shows a cuboid whose length is (2x+1) breadth is x and height is 3x.

We need to find the volume of the three dimensional figure.

The volume of a cuboid is given by :

V = lbh

Substitute all the values,

[tex]V=(2x+1)\times x\times 3x\\\\V=(2x+1)\times 3x^2\\\\= 3x^2(2x)+3x^2\\\\V=6x^3+3x^2[/tex]

So, the volume of the figure is equal to [tex]6x^3+3x^2[/tex].

Answer:

The weight of a tomato depends on the variety of tomato. There are cherry, plum, grape, roma, and beef tomatoes of various sizes. The following tables shows different types of tomatoes, along with the average weight (in grams and ounces), the number of tomatoes per kilogram, and the number of tomatoes per pound.

Step-by-step explanation:

Answer:

The integer that represents the situation is 5.

Step-by-step explanation:

When you gain 5 yards, that is considered a positive increase in value.

You can either put 5 or +5 because they indicate the same positive value.

Answer:

Step-by-step explanation:

Assuming you're solving for p:

[tex]m=2^{-1} *2^p(2^p-1)[/tex]

Let [tex]y=2^p[/tex]

Now we can re-write the equation with [tex]y[/tex] instead of [tex]2^p[/tex].

[tex]m=\frac{1}{2} y(y-1)[/tex]

[tex]2m=y^2-y[/tex]

[tex]y^2-y-2m=0[/tex]

Use the quadratic formula to get:

[tex]y = \frac{1+\sqrt{1+8m} }{2}[/tex]

or

[tex]y = \frac{1-\sqrt{1+8m} }{2}[/tex]

Therefore, using natural log and log rules:

[tex]2^p = \frac{1+\sqrt{1+8m} }{2}[/tex], [tex]ln(2^p)= ln(\frac{1+\sqrt{1+8m} }{2})[/tex],[tex]pln(2) = ln(\frac{1+\sqrt{1+8m} }{2})[/tex], [tex]p = \frac{ln(\frac{1+\sqrt{1+8m} }{2})}{ln(2)}[/tex]

or

[tex]2^p = \frac{1-\sqrt{1+8m} }{2}[/tex], [tex]ln(2^p)= ln(\frac{1-\sqrt{1+8m} }{2})[/tex], [tex]pln(2) = ln(\frac{1-\sqrt{1+8m} }{2})[/tex], [tex]p = \frac{ln(\frac{1-\sqrt{1+8m} }{2})}{ln(2)}[/tex]

If I haven't made any mistakes this should be correct!

Answer:

0.47

Step-by-step explanation:

f(x) = (x - 2)^(1/3)

average rate of change from x = -2 to x = 4 is [f(4) - f(-2)]/[4 - (-2)]

f(-2) = (-4)^(1/3) = -1.587401

f(4) = 2^(1/3) = 1.25992

[f(4) - f(-2)]/[4 - (-2)] = [1.25992 - (-1.587401)]/[4 - (-2)] = 0.47

Answer: A

Step-by-step explanation:

Percent means 'per 100'

So, 0.55% means 0.55 per 100 or simply 0.55/100

If you divide 0.55 by 100, you'll get 0.0055

Answer:

H0 : μ = 2

H1 : μ > 2

We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.

Step-by-step explanation:

Given :

X = 23.71,17.79,29.87,18.78,28.76

Sample mean, xbar = Σx / n = 22/10 = 2.2

Standard deviation, s = 0.516 (calculator)

H0 : μ = 2

H1 : μ > 2

Test statistic :

(xbar - μ) ÷ (s/sqrt(n))

n = 10

Test statistic :

(2.2 - 2) ÷ (0.516/sqrt(10))

0.2 / 0.1631735

Test statistic = 1.23

Using the Pvalue from Tscore calculator, df = n - 1 = 10 - 1 = 9

Pvalue(1.23, 9) = 0.1249

Since, Pvalue > α ; We fail to reject the null and conclude that no significant evidence exists to support that mean tree-planting time differs from two hours.

Answer:

2.67 hours

Step-by-step explanation:

Diana: 15 cookies per hour

Jamie: 7.5 cookies per hour

15 + 7.5 = 22.5

22.5 cookies per hour

[tex]\frac{60}{22.5} =\frac{y}{1}[/tex]

22.5 · y = 60 · 1

22.5y = 60

22.5y ÷ 22.5 = 60 ÷ 22.5

[tex]y=2\frac{2}{3}[/tex]

[tex]2\frac{2}{3}[/tex]  rounded to the nearest hundredth is 2.67

Answer:

Hello! question 1: area for question is 547.1136 round if your teacher wants you to. circumference for this question: 82.896 round if teacher wants you to.

Answer:

340

Step-by-step explanation:

Answer:

I can't see the image but to help the formula is volume=LENGTH x Width x Height :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

:)

Answer: 12

Step-by-step explanation:

You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.

Step-by-step explanation:

540 espero que que ayude UWU