Yoko made $324 for 18 hours of work.
At the same rate, how much would she make for 12 hours of work?

[tex]\\ \rm\Rrightarrow \sqrt{36x^3}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{6^2x^3}[/tex]

[tex]\\ \rm\Rrightarrow 6x^{3\times \dfrac{1}{2}}[/tex]

[tex]\\ \rm\Rrightarrow 6x^{\frac{3}{2}}[/tex]

Answer:

[tex]\textsf{D)}\quad6x^{\frac{3}{2}}[/tex]

Step-by-step explanation:

[tex]\textsf{Apply radical rule} \quad\sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\begin{aligned}\implies \sqrt{36x^3} &=\sqrt{36}\sqrt{x^3}\\ & =6\sqrt{x^3}\end{aligned}[/tex]

[tex]\textsf{Apply radical rule} \quad\sqrt[n]{a}=a^{\frac{1}{n}}:[/tex]

[tex]\implies 6\sqrt{x^3}=6(x^3)^{\frac{1}{2}}[/tex]

[tex]\textsf{Apply radical rule} \quad(a^b)^c=a^{bc}:[/tex]

[tex]\implies 6(x^3)^{\frac{1}{2}}=6x^{\frac{3}{2}}[/tex]

Answer:

the weight of 24 bricks is :

[tex]124\frac{4}{5}[/tex]

Step-by-step explanation:

[tex]26\frac{1}{4} =26+\frac{1}{4} =\frac{26\times 4}{4} +\frac{1}{4} =\frac{105}{4}[/tex]

It is clear that there is a proportional relationship between the number of bricks and their weights then :

[tex]\frac{26\frac{1}{4} }{5} =\frac{x}{24} \Longrightarrow \frac{\left( \frac{105}{4} \right) }{5} =\frac{x}{24} \Longrightarrow \frac{26}{5} =\frac{x}{24}[/tex]

[tex]\Longrightarrow x=\frac{26\times 24}{5} =\frac{624}{5} =124\frac{4}{5}[/tex]

The area painted red on one of the front wheels on DeMarius’ car will be 80.42 inches².

From the information given, the The front wheels on DeMarius’ car are divided into sectors of equal area and the radius of each wheel is 8 inches. The area will be:

= 2/5 × πr²

= 0.4 × 3.14 × 8²

= 80.42 inches²

The radius, in feet, of a rear wheel on the car will be:

r1(2π) = r2(2π)

8(2π) = r2(8/5)(2π)

16 = r2(8/5)

r = 5/8 × 16

r = 10 inches

r = (5/6) feet

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Answer:

30 units

Step-by-step explanation:

If the w=5 and we know that the length is 2(5)=10

For perimeter, there are two sides.

2(10)+2(5)=30 units

Answer:

Fourth-degree trinomial

Step-by-step explanation:

7x⁴ + 7x³ + 10x

There are three terms, and the biggest degree (exponent) is 4. Therefore, this is a fourth-degree trinomial.

Note:

Hope this helps!

Answer: 160

Step-by-step explanation: The formula for a rectangular prism is (Base)(Width)(Height). The length is 10 and the height and width are both 4 because it is a square.

Answer:

D

Step-by-step explanation:

21+16=37, so 37 gallons.

1+2=3, so 3 quarts.

Answer:

56 degrees

Step-by-step explanation:

The total amount of degrees in a triangle is 180: all three angles add up to 180. We can set up an equation to solve this.

40 + 2x + 3x = 180

Let's add like terms:

40 + 5x = 180

Subtract 40 on both sides:

5x = 140

Divide by 5 on both sides to solve for x:

x = 28

Angle A is equal to 2x. Plug in 28 for x. 2*28 = 56. Therefore, Angle A is 56 degrees.

Answer:

∠ A = 56°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 3x + 40 = 180

5x + 40 = 180 ( subtract 40 from both sides )

5x = 140 ( divide both sides by 5 )

x = 28

then

∠ A = 2x = 2(28) = 56°

Answer:

12 c.m. and 12 c.m.

Step-by-step explanation:

model/actual = scale factor (same thing for dilation)

21/14 = 3/2

3/2*8 =4*3 =12

Answer:

60°

Step-by-step explanation:

π/3Since π is denoted as 180°,

To convert π/3 radians to the nearest degree will

be:π/3 =

=180/3

= 60°

Answer:

it would be helpful if you provided some answers to know what questions your doing but 60

Step-by-step explanation:

The probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

Given that:

The bag contains:

Since he draws one marbel, thus, only one colored marble would come out.

Let we suppose we've to find P(red marble coming out).

Then, if we take:

E = event of Rafael drawing a red marble,

then E can be done in 6 ways as there are 6 red marbles to choose from.

Also, withdrawal of 1 marble (of any color) can be done in (5+6+45 = 56) 56 ways.

Thus, we get:

[tex]P(E) = P(\text{Choosing a red marble}) = \dfrac{6}{56} = \dfrac{3}{28} \approx 0.107[/tex]

Thus, the probability of getting red marble from the consider withdrawal of a marble is 0.107 approximately.

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Answer:

I am going to say 182

Step-by-step explanation:

Answer:

  (b)  1.7 in

Step-by-step explanation:

The area of a regular polygon in terms of perimeter and apothem is given by the formula ...

   A = 1/2Pa

For a hexagon, the perimeter is 6 times the side length, so this becomes ...

  A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'

__

Solving for the apothem, we find ...

  a = A/(3s)

For the given values of area and side length the apothem is ...

  a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches

The apothem, rounded to tenths, is 1.7 inches.

Answer:

1.7 in.

Step-by-step explanation:

E2020 Geometry B!! :3

first off, let's convert the mixed fraction to improper fraction and then proceed, let's notice that by PEMDAS or order of operations, the multiplication is done first, and then any sums.

[tex]\stackrel{mixed}{1\frac{7}{8}}\implies \cfrac{1\cdot 8+7}{8}\implies \stackrel{improper}{\cfrac{15}{8}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \div \cfrac{1}{2}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{8} \cdot \cfrac{2}{1}\implies -\cfrac{3}{4}~~ + ~~\cfrac{15}{4} \\\\\\ \cfrac{-3+15}{4}\implies \cfrac{12}{4}\implies 3[/tex]

The population mean of the sampling by the researcher is 240, the standard deviation is 40 and the z score is -2.

It should be noted that the mean is the average of the numbers that are given in a population. The z score is -2 as it measures the relationship between the means.

The probability that the drug will wear off between 200 and 220 minutes will be:

= P(Z < -1.58) - P(Z < -3.16)

= 0.0571 - 0.0008

= 0.0563.

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Assuming that these are seperate equations:

Problem 1:

1) Use the sum-product pattern.

x² - 5x - 6

x² + x - 6x - 6

2) Common factor from the two pairs.

x² + x - 6x - 6

x (x + 1) - 6 (x + 1)

3) Rewrite in factored form.

x (x + 1) - 6 (x + 1)

(x - 6) (x + 1)  ----> Answer

Problem 2:

1) Use the sum-product pattern.

x² + 3x - 40

x² + 8x - 5x - 40

2) Common factor from the two pairs.

x² + 8x - 5x - 40

x (x + 8) - 5 (x + 8)

3) Rewrite in factored form.

x (x + 8) - 5 (x + 8)

(x - 5) (x + 8) ----> Answer

Problem 3:

1) Use the sum-product pattern.

x² - 7x - 30

x² + 3x - 10x - 30

2) Common factor from the two pairs.

x² + 3x - 10x - 30

x (x + 3) - 10 (x + 3)

3) Rewrite in factored form.

x (x + 3) - 10 (x + 3)

(x - 10) (x + 3) ----> Answer

Cheers,

ROR

This experiment is neither the subject nor the researcher because knows which treatment group each subject is in.

A scientific procedure undertaken to make a discovery, test a hypothesis, or demonstrate a known fact.

A group of doctors are conducting an experiment to test a new nutritional supplement they randomly selected 600 subjects, assigning 300 subjects to receive the supplement and 300 subjects to receive a placebo.

The doctors are unaware of which subjects are assigned to each treatment group. this experiment is neither the subject nor the researcher because know which treatment group each subject is in.

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Answer:

6+(3 root2)+(2 root3)+ root6

Step-by-step explanation:

good luck

Answer:

129

Step-by-step explanation:

The easiest thing to do would be an equation.

Since the value is decreasing by 6 each time you have -6x

-6x+?=?

Next thing you do, to get the y-intercept, would be to add 6 to the 309, which is the first term in order to get the zeroth term. This would make 315 the y-intercept

-6x+315=?

To solve for the 31st term, plug in 31 for x to get 129

Answer: The Answer for part 1 is 73 The answer for part 2 is 51

I hoped this helped also (im only 14 so if u see this ur doing great)

Step-by-step explanation:

Answer:

The median of the data is 6

The Lower Quartile is 2

The upper quartille is 3

The mimimum value is 15

The maximum value is 9

As per the law of conservation of energy:

C. The reaction system absorbs 22 kJ of energy from the surroundings

This law of energy states that the energy remains conserved its neither created nor destroyed. It remains conserved throughout the reaction.

when an amount of heat gets absorbed during the reaction from the surroundings this type of reaction is known as an endothermic reaction.

So, for fulfilling law of conservation, same amount of energy must be asborbed.

Thus, option C is correct.

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Answer:

Your answer is Vertical.

Step-by-step explanation:

Answer:

y =1/2x + 2

Step-by-step explanation:

Rise/run and then the y intercept

Answer:

2. y - 2 = -1/6(x + 10)

3. y - 1 = -1/6(x + 4)

5. y = -1/6x + 1/3

Step-by-step explanation:

hope this helps!

Using an exponential function, it is found that the bottle contains 255,960 atoms of tritium after 11 years.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Thus, the equation is given by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = 450000(1 - 0.05)^t[/tex]

[tex]A(t) = 450000(0.95)^t[/tex]

After 11 years, the amount is given by:

[tex]A(11) = 450000(0.95)^{11} = 255960[/tex]

The bottle contains 255,960 atoms of tritium after 11 years.

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