If h(x) = 15x - 171, find h(3)

In this experiment design, the missing element is the control group.

In most experiments, the researcher will need to have a control group and an experimental group.

The control group is the one that is not given a treatment, for example, if you are testing an antibiotic, then the control group is the individuals that do not receive the medicine.

This group is important because it acts as a reference to measure the real effect in the experimental group or those receiving the treatment.

The control group is missing in this experiment because the research will need to measure the hours students spend studying on a regular cloudy day, in this way, he can later determine if there is a real difference between the number of hours on a sunny day vs the number of hours on a day that is not sunny.

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Using a system of equations, it will take 5 weeks for Shop B to repair as many cars as Shop A.

A system of equations is called simultaneous equations.

Simultaneous equations are two or more equations solved concurrently.

                                                              Shop A  Shop B

The number of cars already repaired      55         30

The number of cars repaired per week   5           10

Let the number of cars repaired by Shop A in w weeks = 5w + 55

Let the number of cars repaired by Shop B in w weeks = 10w + 30

For the number of cars repaired by each shop to equate, 5w + 55 = 10w + 30

5w - 10w = 30 - 55

-5w = -25

w = 5

Thus, using simultaneous equations, we can conclude that it will take Shop B 5 weeks to repair as many cars as Shop A.

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#SPJ1

Answer:

We can factor a difference of fourth powers (and higher powers) by treating each term as the square of another base, using the power to a power rule. For example, to factor x4 - y4, we treat x4 as (x2)2 and y4 as (y2)2. Thus, x4 - y4 = (x2)2 - (y2)2 = (x2 + y2)(x2 - y2) = (x2 + y2)(x + y)(x - y).

Answer: How do you factor variables with exponents? To do this, take the greatest common factor of the numbers and the smallest exponent of each variable. 2. Divide the original expression by the greatest common factor. To do this, divide the coefficients, and subtract the exponents of the variables.

Explanation: Expressions with fractional or negative exponents can be factored by pulling out a GCF. Look for the variable or exponent that is common to each term of the expression and pull out that variable or exponent raised to the lowest power. These expressions follow the same factoring rules as those with integer exponents.

Answer: Yes

Step-by-step explanation:

You can find out by inputting your values

2y + 3x = 13

x = 5

y = - 1

2(- 1) + 3(5) = 13

- 2 + 15 = 13

13 = 13

Answer: 11.46

Step-by-step explanation:

Answer:

EC = 3

Step-by-step explanation:

Answer:

This is a right trapezoidal prism.

To find the total surface area,

First we have to find the area of the 2 trapezoids.

Let us find now.

[tex]Area=2*\frac{1}{2} (a+b)*h[/tex]

[tex]Area=2*\frac{1}{2} (1.4+2.3)*1.9\\[/tex]

[tex]Area=3.7*1.9[/tex]

[tex]Area = 7.03m^{2}[/tex]

Now you have to find the areas of the 3 rectrangles.

Let us find now.

(4.8 × 2.1) + ( 4.8 × 2.3)+ ( 1.9 × 4.8)

10.08 m² + 11.04 m² + 9.12 m²

= 30.24 m²

Now let us find the total surface area of this solid.

7.03 m² +  30.24 m²

= 37.27 m²

Answer: B (x=1)

The x-axis shows all the zeros (solutions).

If you were trying to find the slope and the equation of the line, you would go y/x for the slope.

While, b is the y axis, which is 3 in this case.

And the slope is 3/1, which is rise over run (y/x)

Linear equations: y = mx+b

Quadratic equation: ax^{2}+bx+c

(Not going to go in much more depth)

The equation of this line is y = 3x + 1

The number of grams present in 0.54 moles of calcium is; 22 g

We are given;

Number of moles; n = 0.54 moles

Now, Molar mass of calcium is;

M = 40.1 g

Formula for number of moles is;

n = m/M

Where;

n is number of moles

m is mass in grams

M is molar mass

Thus;

0.54 = m/40.1

m = 40.1 × 0.54

m = 21.654 g

Approximately m = 22 g

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Answer:

24x^11

Step-by-step explanation:

4x^8*6x^3 can be rewritten as 24x^(3+8) - multiply 4 and 6

Now we just have 24x^11.

Answer: distance 1min = 10in

In 1 minute the snail travels 10 inches  

In 2 minute the snail travels 20 inches

In 3 minute the snail travels 30 inches

In 4 minute the snail travels 40 inches

In 5 minute the snail travels 50 inches

y=10x

Answer:

5/2

Step-by-step explanation:

Y(2)-Y(1)/ X(2)-X(1)

(27-2)/(1-(-9)

25/10

simplified=5/2

Answer:

1. 2/9

2. 3/7

3. 1/5

Step-by-step explanation:

For each graph look at where the line comes to a point and look at first the y coordinate, then the x coordinate, the answer should be y / x for that graph. My class was recently going over this so I know this for sure.

Tell me if I'm wrong :)

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

Answer:

A.) Quadratic binomial

Step-by-step explanation:

The degree of 2 (x²) makes the polynomial quadratic. It is binomial because it contains 2 terms.

The polynomial is:

Solution:

We classify polynomials based on the number of terms and the degree,

monomial - 1 term

binomial - 2 terms

trinomial - 3 terms

polynomial - 4 terms or more

first

second (quadratic)

third (cubic)

fourth (quartic)

and so on.

[tex]\pmb{3x^2-7}[/tex] has 2 terms. Its highest exponent is 2, so clearly, we have a quadratic binomial.

Answer:

Dogodgo

Step-by-step explanation:

It would take 12 men 18 days to complete the job.

1) g ∝ h

g = kh; where k is the constant of variation.

g = 64, h = 8, hence:

64 = 8k

k = 8

g = 8h

2) j ∝ 1/h

j = k/h; where k is the constant of variation.

j = 190, h = 7, hence:

190 = k/7

k = 1330

j = 1330/h

When h = 70:

j = 1330/70

j = 19

3) y represent number of men and x represent the days

y ∝ 1/x

y = k/x

9 = k/24

k = 216

y = 216/x

For 18 days:

y = 216/18 = 12 men

Hence it would take 12 men 18 days to complete the job.

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Answer:

Step-by-step explanation:

5 used cars for sale. They have a mean price of $7000

. What is the total price of all 5

cars?

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

Therefore, Total price of all 5 cars = 7000 × 5 = $35000.

We are given total number of cars = 5 cars.

The mean of all of five cars = $7000.

Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.

Total price = Mean × Total number of cars.

According to problem, mean is 7000 and total number of cars is 5.

Therefore, Total price of all 5 cars = 7000 × 5 = $35000.

Answer:

6.4

Step-by-step explanation:

Hope this helps :D

Answer:

n = 8

Step-by-step explanation:

Both given angles are verticale angles therefore they are congruent, so;

9n = 8n + 8

(9n - 8n) = 8

n = 8

Hope this helps!

Using function concepts, it is found that the domain of the function that model this phenomenon is [0, 12].

The domain of a function is the set that contains all possible input values.

In this problem, the function is the height of the bamboo according to the month of the year, hence, the input is the month of the year, which has values between 0 and 12, and thus, the domain of the function that model this phenomenon is [0, 12].

A similar problem is given at https://brainly.com/question/10891721

Answer:

A.

How many tiles will you put in each row? 9

How many rows will you make? 3

B.

9x3=27

C.

9 models the amount of tiles in each row

3 models the amount of rows

27 models the total number of chairs/tiles

Step-by-step explanation:

Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

A = L*w

324 = L*w

324/w = L

P = 2*( L + w)

= 2 * ( 324/w + w)

= 648/w + 2w

= (648 + 2w^2)/w

Answer:

median is 40.5

Step-by-step explanation:

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

half way between numbers in numerical order

lands between 40 and 41

40.5

Answer:

41

Step-by-step explanation:

1. First you have to put the numbers in order from least to greatest:

22 36 39 39 40 40 41 42 45 46 46 49

2. Then cross out each number until you find the one that in the middle

For example first you would cross out 22 then 49 then to 36 then 46 and you get the idea

Given: x=6

By substituting value of x as 6 in the given expression, we get:

[tex]f(6) = {x}^{3} - 6x + 1[/tex]

[tex]→f(6) = {6}^{3} + (6 \times 6) - 1[/tex]

[tex]→f(6) = 216 - 36 + 1[/tex]

Now, using integer sign property,

[tex]→f(6) = 216 - 35[/tex]

[tex]→f(6) = 181[/tex]

Therefore, f(6)=181

Answer:

if the three is meant to be a zero then the answer is B, 67.14

Step-by-step explanation: