°116°
56
f
What is the degree measure of f?.

The parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a function:

f(x) = log x

First transformation:

Replace x → (x+4)

The parent function will shift left side by 4 units.

Second transformation:

Multiply the function with -1

The function will reflect over x-axis

The function becomes:

g(x) = -log(x+4)

Thus, the parent function will translate 4 units to the left and reflect over the x-axis option (C) and (E) are correct.

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Answer:

8

Step-by-step explanation:

Factors of 40: 1 2 4 5 8 10 20 40

Factors of 56: 1 2 4 8 14 28 56

Common factors: 1 2 4 8

Greatest common factor: 8

Answer:

8

Step-by-step explanation:

Prime factorization

40  = 2 x 2 x 2 x 5

56 = 2 x 2 x 2 x 7             common factor 2 x 2 x 2 = 8

Answer:

so the volume of our cone is exactly π ! As we all know, this can be approximated as volume ≈3.14159

Answer:

-5

-3

-2

Rule:  Subtract 2 from the input value

Step-by-step explanation:

Examine the pattern of the input and the corresponding output for the two given ordered pairs:

Input -2 → Output -4  

Output - Input =  -4 - (-2) = -2

Input 1 → Output -1

Output - Input = -1 - 1 = -2

Therefore to get the output value (y-value), we subtract 2 from the input value (x-value).

[tex]\begin{array}{| c | c |}\cline{1-2} x & y \\\cline{1-2} -3 & -5 \\\cline{1-2} -2 & -4 \\\cline{1-2} -1 & -3 \\\cline{1-2} 0 & -2\\\cline{1-2} 1 & -1 \\\cline{1-2}\end{array}[/tex]

As the rule for the function is the subtract 2 from the input value to get the output value, we can write this as:

Output = Input - 2

or as an equation:  [tex]y=x-2[/tex]

Answer:

C. The solution set is {x|x < 6}.

Step-by-step explanation:

Given :

Subtract 4 from both sides.

Divide 7 from both sides.

C. The solution set is {x|x < 6}.

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

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Answer:

b≈26.46

Step-by-step explanation:

see image attached

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

Answer:

v = 16 mm

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{v}{20}[/tex] = [tex]\frac{28}{35}[/tex] ( cross- multiply )

35v = 560 ( divide both sides by 35 )

v = 16

The amount of money collected after 5 days is $181,500

The number of people that collaborated during the first 5

days is 363 people

To solve this problem, we would use the Geometric Progression with the formula:

[tex]\frac{a(r^n -1)}{r-1} \\[/tex]

Where:

r= 3

a= 3

n= 5

[tex]\frac{3(3^5 - 1)}{3-1} \\[/tex]

= [tex]\frac{3(243 -1)}{2}[/tex]

121 * 3 = 363 people.

Therefore, the amount contributed is $500 * 363= $181,500

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Answer:

Step-by-step explanation:

US=26

SV=UV=[tex]\frac{26}{2}[/tex] (diagonals of parallelogram bisect each other)

UV=13

Answer:
Tortoise:

Hare:
Rat:

All will be shown later

Step-by-step explanation:

Equation for Torotise: f(x)=0.2(x)+300

Equation for the Hare: f(x)=2(x)

I hope it helps! I will show you screenshots in the comments

s = area = 11.76

p = perimeter = 16.8

r=2*11.76/16.8=23.52/16.8=1.4

r=1.4

a= 90 degrees

b=36.87 degrees

c=53.13 degrees

triangle is in a circle

Circumradius: R = 3.5

30!outcof 60 were purebreds 30/60 = 1/2

1/2 of the dogs were purebreds.

18 x 1/2 = 9

Answer: 9 dogs

Answer:9 points

Step-by-step explanation:in the hyperproberbillity of things it’s this answer.

The value of x that yields a slope of 56 is 6.09

The given parameters are:

The slope of two points is:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

This gives

[tex]\frac{-1 -4}{6 -x} = 56[/tex]

Evaluate the difference

[tex]\frac{-5}{6 -x} = 56[/tex]

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09

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Answer:

416 square centimeters

Step-by-step explanation:

Formula for finding area of a trapezoid :

A = 1/2 x (a + b) x h

Solving :

Answer:

416 cm²

Step-by-step explanation:

The figure we are given, is a trapezoid. Let's apply the "area of trapezoid" formula to determine the area of the trapezoid provided.

[tex]\boxed{\text{Area of trapezoid:} \ \dfrac{a_1 + a_2}{2} h}[/tex]

[Where a₁ and a₂ are the measure of the parallel sides and h is the height]

Let's plug the height and the parallel sides into the formula and simplify it:

[tex]\text{Area of trapezoid} = \dfrac{38 + 14}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = \dfrac{52}{2} \times 16}[/tex]

[tex]\text{Area of trapezoid} = 26 \times 16}[/tex]

[tex]\boxed{\text{Area of trapezoid} = 416 \ \text{cm}^{2}}[/tex]

Therefore, the area of the trapezoid is 416 cm².

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The area of the rectangle is the product of length and width. The value of the variable x is 3.6 cm

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L × W square units

The diagram is given below.

Let A₁ be the area of the small rectangle and A be the area of the large rectangle.

                 A₁ = 1/4 A

               4A₁ = A

4 × 2× (12 - x) = 12 × (x + 2)

       8(12 - x ) = 12x + 24

         96 - 8x = 12x + 24

                 72 = 20x

                   x = 3.6

Then the value of the variable x is 3.6 cm

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angles in a triangle always equal to 180° so:

1. all the angles are equal to each other

180°÷3=60°

2.

•we know 1 angle, 68°

• straight lines are 180°-> 180°-126°= 54°

180°-68°-54°= 58°

Answer:

90

Step-by-step explanation:

Area = length x width

Length = x + 6 + x + 2 = 2x + 8

Width = x + 4 + x = 2x + 4

area = 2x + 8 * 2x + 4

multiply each term by each term

Area = 4x^2 + 24x + 32

Answer: I think this is correct but i'm not sure! the answer should be 48 im not sure though

Step-by-step explanation:

6 x 2 = 12 x 4 = 48

Answer:

(5,36)(8,48)slope = (48 - 36) / (8 - 5)

Step-by-step explanation:

Answer: Equation of the system is y = 4x + 16 and in function form is f(x) = 4x + 16.

Explanation

Answer:

75

Step-by-step explanation:

1/3 * 5² * 9 = V

1/3 * 25 * 9

= 75

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

Answer:

C

Step-by-step explanation:

Recall that the volume of a sphere is given by:

[tex]\displaystyle V = \frac{4}{3}\pi r^3[/tex]

Because the sphere has a diameter of 30 cm, its radius is 15 cm. Therefore, its volume is:

[tex]\displaystyle \begin{aligned} V & =\frac{4}{3}\pi(15\text{ cm})^3 \\ \\ & = \frac{4}{3}\pi(3375\text{ cm}^3) \\ \\ & = 4500\pi\text{ cm}^3 \end{aligned}[/tex]

In conclusion, our answer is C.

Answer:

Step-by-step explanation:

4m = 6m - 2/5

-2m = -2/5

m = 2/5 : 2

Answer:

length= 5+ 12= 17

Step-by-step explanation:

will take width as x

then the length is x+12

perimeter = x+ x+12+x+x+12= 44

=4x= 44-24= 36

x= 20/4

x= 5

Answer: The range of the data set is: " 16 " .

______

Explanation:
The range is calculated by subtracting the lowest value in the given data set from the highest value in the data set.
______

Given: The data set:   9, 21, 7, 11, 13, 21, 5, 14 ;

Let us organize these numbers from lowest value to highest value:
  " 5, 7, 9, 11, 13, 14, 21, 21 " ;
Note:  This is done by inspection.  Note that all eight (8) values are accounted for.
    So, we subtract the lowest value in our given data set:  "5" ;

from the highest value in our given data set:  "21" ;  to get the "range":

            →  " 21 − 5 = 16 " ;

______
The range is:  " 16 " .
______
Hope this is helpful!  Best wishes!

Answer:

54000

Step-by-step explanation:

use multiplication
do ur own work  if you want to see if I'm wrong