Select the correct answer.
Which function defines (g. f)(z)?
f(z)
g(z)
log(5z)
5z + 4
OA
(9. f)(z)
OB.
(g-f)(z): = 5x + 4+ log(5z)
OC (g. f)(z) = 5z log(5z) +4
OD. (g. f)(z) = 5z - 4-log(5z)
5z log(52) + 4log(5z)

Answer:

h = 3V /b

Step-by-step explanation:

V=1/3bh

Solve for h

Multiply each side by 3

3V = 3*1/3bh

3V = bh

Divide each side by b

3V/b = bh/b

3V /b = h

h = 3V /b

Answer:

[tex]3v = bh \\ bh = 3v \\ h = \frac{3v}{b} [/tex]

The following issues have the following needed probabilities: 1.) 1 / 3 2.) 1 / 5, and 3.) 1 / 4.

Here,

Four red marbles, five yellow marbles, three green marbles, and three blue marbles make up a jar.

There are 15 marbles in all.

1) Chance that the result exclusively includes green and/or blue marbles,

= 2 / 6 = 1 / 3

2.) Chance that the result solely contains green marbles

= 3 / 15 = 1 / 5

3.) the likelihood that there won't be any green marbles in the result,

= 3 / 12 = 1 / 4

As a result, the needed probability for the following issues is given: 1.) 1 / 3. 2.) 1 / 5, and 3.) 1 / 4.

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The image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

Dilation is a process for creating similar figures by changing the size.

Rotation of a point P(x, y) 180 counterclockwise about the origin produces an image at P'(-x, -y).

Here, the point counterclockwise about the origin → (-(-9), -7).

Therefore, the image of the point (-9,7) after a rotation of 180 counterclockwise about the origin is at (9, -7).

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The minimum and maximum numbers of hours the truck driver will drive before stoping for a rest will be 3.6 hours and 2.4 hours respectively.

From the information, the truck driver is driving on an interstate and is about 150 miles from his planned exit and he is traveling at a speed of 50 miles per hour and plans to stop for a rest within 30 miles of the exit on either side.

Therefore, the appropriate equation be:

50h - 150 = 30

50h = 30 + 150

50h = 180

Divide

h = 180 / 50

h = 3.6 hours.

The minimum hours will be:

50h = 150 - 30

50h = 120

h = 120/50

h = 2.4 hours.

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The amount spent on pants based on the information illustrated is 45 soles.

Let the amount spent of shirt = x

Amount spent on sweaters = 2x

Amount spent on pants = 3x

Amount spent = 90

Therefore, the value will be:

x + 2x + 3x = 90

6x = 90

Divide

x = 90/6

x = 15

Therefore, the amount spent on pants will be:

= 3x

= 3 × $15

= 45 soles.

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The relation is not a function if its domain is on the x-axis and its range is on the y-axis. However, if the relation's domain is on the y-axis and its range is on the x-axis, it is a function.

If so, what kind of function is it?

Relationships are defined by three factors:

1. domain is a set of inputs.

2. an output set referred to as range.

3 . relationships between domain and range-related items.

If and only if each element of the domain is associated to just one member of the range, is a relation a function. It must be noted that the solution may vary based on the domain and range that we assume.

The provided relation is a function if the x-axis is the range and the y-axis is the domain, as opposed to when the x-axis is the domain and the y-axis is the range.

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The possible graph for two points have the same y-coordinate but opposite x-coordinates is shown below.

In a general point (x,y) , the value x represents the distance from origin to point along x - axis,

and

the value y represents the distance from origin to point along y axis.

It is given in the question that

There are two points in which the y coordinate of both the points is same

the x coordinate is of opposite signs.

Let us take an Example  

let the points be A(a,b) and B(c,d)

According to the question

b = d and -a = c

So the points will become (a,b) and (-a,b)

For Example ;

let a=2, b=3

the two points will become (2,3) and (-2,3).

Therefore , the possible graph of these points is shown below .

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The measures of the angles are:

m<7 = 47°

m<8 = 62°

m<1 = 62°

m<2 = 71° [vertical angles theorem]

m<5 = 109°

m<3 = 109°

m<4 = 35°

m<6 = 29°

The alternate interior angles theorem states that two interior angles that are formed along a transversal and lie alternate to each other on two parallel lines are congruent to each other.

Measure of angle 7 = 47° [based on the alternate interior angles theorem]

Measure of angle 8 = 180 - 47 - 71 [triangle sum theorem]

Measure of angle 8 = 62°

Measure of angle 1 = measure of angle 8 = 62° [based on the alternate interior angles theorem]

Measure of angle 1 = 62°

Measure of angle 2 = 71° [vertical angles theorem]

Measure of angle 5 = 180 - 71 [linear angle theorem]

Measure of angle 5 = 109°

Measure of angle 3 = measure of angle 5 = 109° [vertical angles theorem]

Measure of angle 4 = 180 - measure of angle 3 - 36 [linear angle theorem]

Measure of angle 4 = 180 - 109 - 36

Measure of angle 4 = 35°

Measure of angle 6 = 180 - measure of angle 5 - 42 [linear angle theorem]

Measure of angle 6 = 180 - 109 - 42

Measure of angle 6 = 29°

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The value of the given algebraic expression 6x(y²z)  is (D) 6.

So, substitute the values of x, y, and z in the given expression:

6x(y²z)

When x = 0.5, y = -1 and z = 2

Therefore, the value of the given algebraic expression is (D) 6.

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The complete question is given below:
What is the value of the algebraic expression if x= 1/2 , y = -1, and z = 2? 6x(y²z)

A. -12

B. -6

C. 1

D. 6

Answer:   Доброе утро, ответ 5+5="4

Step-by-step explanation:

Answer:

your right

Step-by-step explanation:

the answer is k and l thats right pls mark brainliest

or hit the thanks button!!!!!!!

pls and thank you!

Answer:

Step-by-step explanation:

n^2 - 18. n=8

Simply plug 8 in place of n. The ^ sign refers to the power of the number, so in this case we square it. Review order of operations if needed.

8^2 - 18

(8×8) - 18

64 - 18 = 46

So the answer is 46

Answer:

◉ No

Step-by-step explanation:

   a vertical line is not a function because it will not survive the vertical line test, VLT.

the VLT is a vertical line that touches functions, if it touches it twice or more, then it's not a function

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

[tex]\textcopyright ELIZA \bullet22/09/'22[/tex]

[tex]\#CARRYONLEARNING :)[/tex]

Answer: $0.65

Step-by-step explanation:

She can have all nickels since at least 3 nickels means that there is a possibility that all 13 of her coins are nickels.

100 cents=1 dollar

Nickel=5 cents

5 cents * 1 dollar/100 cents=

5*1/100=0.05 dollars

Hence, the least total amount of money she could have is:

13*0.05=$0.65

This is equivalent to 140 cents.

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

Explanation:

"she has at least three each of quarters, dimes, and nickels"

Let's say she has exactly 3 of each for now

So far she has 75+30+15 = 120 cents (aka $1.20) with the 3*3 = 9 coins mentioned. There are 13-9 = 4 coins remaining

To achieve the least money possible, those missing four coins must be the smallest denomination allowed, i.e. the nickel. We can't go for penny since it states "none of them are pennies". So we add 4*5 = 20 more cents onto 120 to get 120+20 = 140 cents aka $1.40

The finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.

The finance charge is the cost of credit in dollars. It is calculated on a credit card's unpaid balance. A finance charge, the cost of having the debt a longer time, is added to the outstanding credit card balance.

Given:

Average daily balance: $118.18,

monthly interest rate: 1.15%

According to given question we have

A common way of calculating a finance charge on a credit card is to multiply the average daily balance by the annual percentage rate (APR) and the days in your billing cycle. The product is then divided by 365 .

i.e

[tex]\frac{118.18*1.15*30}{365} \\=11.170[/tex]

Therefore, the finance charge for a credit card that has given the average daily balance and interest rate is 11.170$.

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The two numbers are 6 and 8.

The first step is to determine the simultaneous equations that would be used to determine the answer. The simultaneous equations would be derived from the information provided in the question.

x + y = 14 equation 1

x - y = 2 equation 2

Where:

x = larger number

y = smaller number

The simultaneous equations would be solved using the elimination method

Now, subtract  equation 2 from  equation 1

2y = 12

Divide both sides of the equation by 2

y = 12 / 2

y = 6

Substitute for y in  equation 2

x - 6 = 2

Add 6 to both sides of the  equation

x = 2 + 6

x = 8

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Answer:

3 7/100

Step-by-step explanation:

3007/1000 = 3 7

1000

Answer:

Given,

length(l)=29ft

breadth(b)=18ft

now,

Area of rug=l×b

=29×18=522ft²

The total cost on the food in the annual clinical party is a $1377.7.

According to the statement

We have to find that the total cost of the food.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

There are 23 employees and each will be bringing one guest (46 total).

The caterer is charging $29.95 per person for a sit-down dinner.

And then

Total person = 46

The cost of food per plate = $29.95

Then

Total cost of the food = 29.95*46

Total cost of the food = 1377.7

So, The total cost on the food in the annual clinical party is a $1377.7.

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The correct simplified answer is [tex]49\sqrt{2xy}[/tex]

According to the question, the expression can be simplified as:

Given expression: [tex]\sqrt{686 xy7 } = \sqrt{7 X 7 X 7 X 2 X7xy}= 49\sqrt{2xy}[/tex]

Hence, the correct answer is [tex]49\sqrt{2xy}[/tex]

What is simplification?

The word simplification makes the complicated expression into simpler expression. Simplification method uses basic mathematics properties for the complicated expression. After simplification, the calculation become easy.

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Answer:

W' (2, 4 )

Step-by-step explanation:

a translation of 4 units right means add 4 to the x- coordinate, that is

W (- 2, 4 ) → W' (- 2 + 4, 4 ) → W' (2, 4 )

Answer:

the answer would be 5a+2b-10

Answer: -3b + 21

Step-by-step explanation:

-3(b-7) distribute the -3 to the rest of the equation

= -3b + 21

Answer:

Step-by-step explanation:

So we have our equation -3(b-7)

We are multiplying -3 by b, and by 7, and subtracting the products from each other

so, -3x7=-21

and we would have -3b

so now, we can put this back into the equation as

-3b+21 (because the rule is that subtracting a negative from a negative is the same as adding a positive)

Hope this helps!^^

Answer:

21 7/8 in^2

Step-by-step explanation:

explantation up top

(D) Julie's assets decreased by more than her liabilities: TRUE

So, assets are simply the resources that a person or company possesses, whereas liabilities are the debts that the economic agent owes to others.

Therefore, the statement "(D) Julie's assets decreased by more than her liabilities" is TRUE.

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The complete question is given below;
Over the period of a year, Julie's net worth decreased. Which of the following could be true?

a Julie's assets and liabilities decreased by the same amount.

b. Julie's assets and liabilities increased by the same amount.

C. Julie's assets increased by more than her liabilities.

d. Julie's assets decreased by more than her liabilities.

Please select the best answer from the choices provided

The expression is simplified to x - 147

Algebraic expressions are defined expressions made up of terms, factors, variables, constants , coefficients.

They are also made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

Given the expressions;

−3 (5x + 1) + 16(x − 9)

First, we have to expand the bracket

-15x -3 + 16x - 144

collect like terms, we have;

-15x + 16x - 144 - 3

Add or subtract like terms as seen in the expression

x - 147

Note that the expression is simplified to x - 147

Thus, the expression is simplified to x - 147

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Answer:

14/15

Step-by-step explanation:

[tex] \chi - 0 = \chi \\ 2 - 0 = 2 \\ y - 0 = y\\ .....[/tex]

Any number take away zero, is still that number.