There are 16 people. Each person is broken down into the colors they prefer, the shades they prefer, and the tertiary gradients they prefer.

Each of the 16 people like 18 different colors.

Each of the 18 colors have 12 different shades

Each of the 12 shades have 20 different tertiary gradients

How many combinations are there total?

Answer:

$66

Step-by-step explanation:

Let the money that you started off with be called x.

You spend $62 on a game: x-62

You receive $50 for painting a fence: x-62+50 = x-12

You give $10 to your friend: x-12-10 = x-22

You have $44 left: x-22=44, x=44+22=66

Answer:

B x >= 11

Step-by-step explanation:

80 miles total, 14 miles already done => 80-14=66 miles left.

66 miles distributed evenly across 6 days means 66/6=11

Answer:

30 degrees

Step-by-step explanation:

102+48=150

180-150= 30 degrees

Hope this helped! :)

Answer:

2

Step-by-step explanation:

Answer:

The correct option is (c).

Step-by-step explanation:

The given expression is :

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})[/tex]

We need to use the associative property to make it easier.

The associative property for multiplication is as follows :

[tex]A\times (B\times C)=(A\times B)\times C[/tex]

We have,

[tex]A=14, B=\dfrac{3}{2}\ and\ C=\dfrac{1}{4}[/tex]

[tex]14(\dfrac{3}{2}\times \dfrac{1}{4})=(14\times \dfrac{3}{2})\times \dfrac{1}{4}[/tex]

Hence, the correct option is (c).

Answer:

Step-by-step explanation:

4/x = x/9

1 = [tex]x^{2}[/tex] / (9*4)

1 = [tex]x^{2}[/tex] / 36

36 = [tex]x^{2}[/tex]

6 =X

Answer:

(D)

Step-by-step explanation:

Angles 2 & 6 are called corresponding angles in the diagram and they are congruent if the lines c & d are parallel. Since they are, that means lines c & d are parallel.

We have four copies of '2' and one copy of '5' multiplied together

This is the same as saying 2^4*5

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

Explanation:

Divide 80 over the smallest prime factor, which is 2

80/2 = 40

Divide that result over 2

40/2 = 20

Keep going until you cannot divide by 2 anymore

20/2 = 10

10/2 = 5

We stop here because 5/2 isn't a whole number. We also stop here since 5 is prime. Circle all the primes that show up and you should have four copies of 2 and one copy of 5.

Therefore: 2*2*2*2*5 = 80

In shorthand, this condenses to 2^4*5 = 80

The factor tree is shown below. Other factor trees are possible.

Answer:

x = 8.481 or -4.481

Step-by-step explanation:

x^2 - 4x - 9 = 29

x^2 - 4x - 9 - 29 = 0

x^2 - 4x - 38 = 0

x1  

= −(−4) − √ (−4)2 − 4×1×(−38)  

2×1

= 4 − 2 × √ 42  

2

≈ −4.481

x2  

= −(−4) + √ (−4)2 − 4×1×(−38)  

2×1

= 4 + 2 × √ 42  

2

≈ 8.481

x = 8.481 or -4.481

Have a nice day!

Answer:

<2 = 133degrees

<1 = 135degrees

Step-by-step explanation:

From the diagram, the angle <2 and 47 are supplementary, hence;

<2 + 47 = 180

<2 = 180 - 47

<2 = 133degrees

To get <1;

47 = 1/2(<1 - 41)

47 * 2 = (<1 - 41)

94 = <1 - 41

<1 = 94 + 41

<1 = 135degrees

Answer:

3.......................

Answer:

5 6/12 or 5 1/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st on is one solution

2nd one is no solution (the lines have the same slope but different y- intercepts

3rd is infinitely many solutions (the equations are the same)

Answer:

16v

Step-by-step explanation:

3x + 11 = 4x - 5

11+5 = 4x -3x

x = 16

I hope im right!!

Answer:

b

Step-by-step explanation:

Answer:

you would make 400 each week

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

119 cm

Step-by-step explanation:

20 - 3 = 17

(140/20)(17) = 119 cm

Answer:

[tex]\text{Equation: }2\angle B+\angle B=90\\\angle A=60^{\circ},\\\angle B=30^{\circ}[/tex]

Step-by-step explanation:

Complimentary angles are angles that add up to 90 degrees. Therefore, we can write the following system of equations:

[tex]\begin{cases}\angle A=2\angle B,\\\angle A+\angle B=90\end{cases}[/tex]

Solving, we obtain the equation:

[tex]2\angle B+\angle B=90,\\3\angle B=90,\\\angle B=\boxed{30^{\circ}}[/tex]

Plugging this back in to our first equation, we get:

[tex]\angle A=2(30)=\boxed{60^{\circ}}[/tex]

Answer:

∠A = 60

∠B = 30

Complementary angles are angles that add up to 90 degrees, and the measure of ∠A is twice as much as ∠B

60 + 30 = 90

60 / 30 = 2

60 / 2 = 30

Step-by-step explanation:

The other answer is still correct, just thought I'd make it simpler.

Hope this helps!

Coterminal angles are angles in standard position with the same terminal side. For example, angles measuring 120° and – 240° are coterminal.

Answer:

I honestly don't know I'm just trying get my points up

Step-by-step explanation:

Sorry bestie

Given:

[tex]4\times 50 =8\times 25[/tex]

To find:

The steps to prove the given statement by using the properties of multiplication.

Solution:

We have,

[tex]4\times 50 =8\times 25[/tex]

Taking left hand side, we get

[tex]LHS=4\times 50[/tex]

[tex]LHS=4\times (2\times 25)[/tex]

[tex]LHS=(4\times 2)\times 25[/tex]     (Associative property of multiplication)

[tex]LHS=8\times 25[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

Answer:

(-3,2)

Step-by-step explanation:

Answer:

the first 2 are true the third one is false but I'm not too sure about the last one I think it would be true but I don't want to be the reason you get it wrong

Step-by-step explanation:

to find the mean you add all of them and divide by the number of items so the mean is 3.

I hope this helps I'm sorry I can't give you the exact answer to the last one

It was not letting me add my answer for some reason, but my image is attached below. I hope this helped you.

Answer:

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that [tex]n = 1012, \pi = \frac{374}{1012} = 0.3696[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}[/tex]

[tex]E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

[tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex]

A sample of [tex]n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2[/tex] is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Answer:

Step-by-step explanation: how about you anwser this in exchange typical household circuits can carry a maximum current of 15 A if a wire has a resistance of 8.0Ω  determine the voltage across the energy source.