Damian works after school. Each day he earns a set amount, plus an hourly wage. The function f(x)=12 x+10 models the amount he earns each day for working x hours. How much does Damian earn on Friday if he works for 2.75 hours?
$=________

No, I don't agree with Sundeep. The mixture wont simply add up

When two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.

When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.

The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.

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Answer:

C.

Step-by-step explanation:

It is not a straight line therefore it cannot be linear.

Answer:

Step-by-step explanation:

Answer:

$6,722.63

Step-by-step explanation:

Now: $10,200

In 1 year: 0.92 × $10,200 = $9,384

In 2 years: 0.92 × $9,384 = $8,633.28

In 3 years: 0.92 × $8,633.28 = $7,942.6176

In 4 years: 0.92 × $7,942.6176 = $7,307.208192

In 5 years: 0.92 × $7,307.208192 = $6,722.63

Answer: $6,722.63

Answer:

$6,722.63

Step-by-step explanation:

Using this formula A=P(1-d/100)^n where

A = Amount

P = Principal

d = percent

n = number of year

A=P(1-d/100)^n

A = 10,200(1-8/100)⁵

A = 10,200(1-0.08)⁵

A = 10,200(0.92)⁵

A = 10,200(0.6591)

A= $6,722.63

Answer: Wait so the sides are both 25 squares?

Step-by-step explanation:

Answer:

Part A:

10ft

Part B:

35ft

Step-by-step explanation:

• Since we know that an increase of 1 on either the x, or y value is equal to 5 feet, we can form an equation where x = the amount that the value increased, so since the fountain is at (-2, -2) and the slide is at (-2, 0), we see that there is an increase of 2 to the y-value, meaning our equation should now be 5(2) which equals 10.

• Because we use 5x and 5y to solve this, we can already see how to do this. If the swings are at (5, -2) and the fountain is at (-2, -2), we can see that there was an increase of 7 on the x-value, meaning that our equation would now be 5(7), which equals 35.

Answer: 120

Step-by-step explanation:

It says 1 times meaning you multiply it by 1.

The study described is a randomized experiment.

A randomized experiment is a typical experimental study design. It is a study design in which the researcher or investigator is in complete control of the research environment. For example, an investigator may wish to assess the effects of certain treatments on some experimental units.

The investigator decides the type of treatment, the type of experimental unit to use, and the allocation and assessment procedures of the treatments and effects, respectively, while in an observational study, the researcher or investigator is usually a passive observer as he only observes and analyses facts and events as they occur naturally.

In experimental studies, the researcher is in complete control of the exposure, and the result should therefore provide stronger evidence of an association or lack of association between exposure and a health problem than would an observational study.  

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"Determine whether the study described below is a randomized experiment or an observational study.

A medical researcher wants to determine whether exercise can lower blood pressure. She recruits 100 people with high blood pressure to participate in the study. She assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. She assigns the other 50 to refrain from vigorous activity. She measures the blood pressure of each of the 100 individuals both before and after the study."--

The domain of this function is all the real numbers except - 7 / 3 and 23 / 3.

In accordance with function theory, the domain of a function is a set of x-values such that y-values exist. Herein we find that the given function is a rational function whose denominator includes an absolute value function. The numerator is a linear equation.

Therefore, the domain of the function is all real numbers except those x-values such that denominator is equal to zero. We need to solve the following expression in two cases:

|3 · x - 15| = 8

For x ≥ 5:

3 · x - 15 = 8

3 · x = 23

x = 23 / 3

For x < 5:

- 3 · x + 15 = 8

- 3 · x = - 7

x = - 7 / 3

Then, the domain of this function is all the real numbers except - 7 / 3 and 23 / 3.

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Step-by-step explanation:

\( log_{5}(x + 9) = log_{5}(x + 5) + 1\)

\( \frac{ log(x + 9) }{ log(5) } = \frac{ log(x + 5) }{ log(5) } + 1\)

\( log(x + 9) = log(x + 5) + log(5) \)

\( log(x + 9) = log(5x + 25) \)

\(x + 9 = 5x + 25\)

\(x = - 4\)

If we plug it in, it is true

The difference in height of the siblings is 11 / 18 ft

Difference in mathematics is the subtraction of one number from another.

Destiny is 5 5 /6 feet tall and his younger brother is 6 4 /9 feet tall. The difference in the height of the sibling can be computed as follows:

lets covert to improper fraction first. Therefore,

5 5 / 6 = 35 / 6

6 4  / 9 = 58 / 9

Therefore,

Therefore, the difference is 11 / 18 ft

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Answer:

Area: 28 square ft

Perimeter: 22 ft

Step-by-step explanation:

To find the area:

A=Lw

A is area, L is length, w is width

A=4*7

A=28

The area is 28 square feet

To find the perimeter:

P=2L+2w

P=2(7)+2(4)

P=14+8

P=22

The perimeter is 22 feet.

Hope this helps!

Answer:

( 5 , - 2 )

Step-by-step explanation:

( 10 × \(\frac{1}{2}\) , - 4 × \(\frac{1}{2}\) ) = (5, - 2)

1). Draw a perpendicular from point A to side BC. Let AD = h

2). sin A = h/c and sin C = h/a

3). h = c Sin A, h = a sin C

4). c Sin A =a sin C

5). Divide both side by Sin A * Sin C

6). c Sin A/(Sin A * Sin C) =a sin C/(Sin A * Sin C)

7). c/sin C = a/Sin A

8). Similarly prove that,  c/sin C = b/Sin B

9).  c/sin C =  b/Sin B = a/Sin A

correct on plato

Answer:

3

Step-by-step explanation:

The two numbers are 3 and 7, and 3 is the smaller one

Step-by-step explanation:

x, y are the 2 numbers.

x + y = 10

y - x = 4

that gives us

y = x + 4

and we use that in the first equation :

x + x + 4 = 10

2x = 6

x = 3

y = x + 4 = 3 + 4 = 7

so, yes, the smaller number is 3.

SOLUTION

From the translation given, the amount of vertical shift is 3 units down

This was derived from -3

Hence the answer is 3 units down

The radian measure of an angle is directly proportional to the length of the arc intercepted by that angle on the unit circle.

Proportional is a mathematical concept that describes the relationship between two or more values that have a constant ratio. It is commonly used to describe the relationship between two or more variables, such as the size of an object in relation to another or the amount of a certain item in relation to the total amount. In proportionality, the ratio of the amounts remains consistent, no matter what the size of the values.

This means that as the angle increases, so does the length of the arc. This is because the length of an arc is determined by the angle measure of the central angle created by the arc, and the radian measure of an angle is the ratio of the arc length to the radius of the circle. Therefore, if the angle measure increases, so does the arc length.

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Answer:

10 (3 x - 1)

Step-by-step explanation:

Answer:

6 is equivalent as well as option 3

Using the combination formula, it is found that there are 193 selections that contain at least 3 Jacks.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In the context of this problem, we have that the possibilities with at least 3 Jacks are given as follows:

Hence the number of selections with at least four jacks is calculated as follows:

\(T = C_{4,3}C_{48,1} + C_{4,4}\)

T = 4 x 48 + 1

T = 193.

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Using a calculator, the trigonometric ratio of sin 98 is approximately 0.9848.

One of the trigonometric ratio we have in mathematics is the sine ratio. We can use calculator to find the sine of an angle without making use of tables. To do this on your calculator, enter the sine function followed by the degree of the angle you want to find its sine. You will get your answer.

Using a calculator, we can find the sine of 98 degrees as follows:

sin 98° ≈ 0.9848

Rounding this to four decimal places, we get:

sin 98° ≈ 0.9848

Therefore, sin 98° is approximately equal to 0.9848.

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When factorized, the quadratic expression would then take the form of B. (x - 4)(x ² + 25)

x³ - 4x + 25x² - 100

First, we can factor out an x from the first two terms, and then group the last two terms:

x(x² - 4) + 25(x² - 4)

Now we can factor out the common factor of (x² - 4):

(x² - 4)(x + 25)

The factored form of the given quadratic expression is:

(x² - 4)(x + 25)

Now let's factor (x² - 4), which is a difference of squares:

(x - 2)(x + 2)(x + 25)

(x - 4)(x² + 25)

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The solution of the regression equation that best fits the data that we have here is y=-0.89x² +3.24x+11.93

In solving for the equation, I had to enter the details in a quadratic regression equations solver online.

The data was used to produce the output that was created in the attachment that I have added here

The output is given as

mean of x 2.5

mean of y 11.83333333

correlation coefficient r 0.9942018754

c 11.92857143, b= 3.23571429 , a= -0.89285714

When we put the equation in the form of

ax²  + bx + c

we would have y=-0.89x² +3.24x+11.93

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The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Check the picture below.

Answer:

20 root beers

Step-by-step explanation:

Answer: 20 rootbeer sxckers

Step-by-step explanation:

If 4 out of every 30 are rootbeer you then translate the ratio to 150

4/30=0.13333333333333

0.1333333333333*150=20

You could also just multiply both sides of 4/30 by 5 to get 20/150

Answer:

84%

Step-by-step explanation:

84%

63 divided by 75 is 0.84. 0.84 is also 84% so the answer is 84%.

Answer:

84%

Step-by-step explanation:

63: 75*100=

(63*100):75=

6300:75=84

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

9 ft

Step-by-step explanation:

Area of a a rectangle = length × width.

Plug in the information youhave.

45ft. = 5ft × ?

45 = 5x

9 = x

A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.

Linear programming is used for the optimization of linear objective.

It is used as constrained optimization, from where the objective functions and constraints all are linear.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables

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Answer:

327

Step-by-step explanation:

tens no. is divided

units no. is multiplied

4/1 = 4 4x1=4 ans. 44

6/3 = 2 6x3= 18 ans. 218

8/2 = 4 8x2= 16

6/2 = 3 6x2 = 12

9/3 = 3 9x3 = 27 = 327