Simplify (2a^3 a^4)^5. Show all work.

Answer:

1. At 1/3 cup per person, the amount of tomato juice needed is [tex]1\tfrac{1}{3} \ cups[/tex] of tomato juice

2. At 2/3 cup per person, the amount of tomato juice needed is [tex]2\tfrac{2}{3} \ cups[/tex]  of tomato juice

Step-by-step explanation:

1. Here we have that each person gets 1/3 cup of juice

Number of people in the group = 4

Amount of tomato juice each person gets = 1/3 cup

Total amount of tomato juice required = 4 × 1/3 = 4/3 cups of tomato juice

In proper fractions, we have;

Total amount of tomato juice required = [tex]1\tfrac{1}{3} \ cups[/tex] of tomato juice.

2. Where we have that;

Amount of tomato juice each person gets = 2/3 cup

Number of people in the group = 4

∴ Total amount of tomato juice required = 4 × 2/3 = 8/3 cups of tomato juice

In proper fractions, we have;

Total amount of tomato juice required = [tex]2\tfrac{2}{3} \ cups[/tex] of tomato juice.

Answer:

(4,3)

Step-by-step explanation:

f(x) = a(x-h)^2 +k is the vertex form of a parabola

where (h,k) is the vertex

f(x) = (x-4)^2 +3

    yields a  vertex of (4,3)

Answer: The answer is A 4,3

Step-by-step explanation:

Answer:

No. He did not check the point in the second equation.

Step-by-step explanation:

Took the assignment

Answer:

no he did not check his second equation

Step-by-step explanation:

Just took it hope this helps.

Answer:

Yes (2,1) is a solution to the equation

Step-by-step explanation:

Answer:

The big bang is showing that there is tiny atoms. The atoms grouped up with gravity and more and more grouped making a super dense dot. The dot exploded making gases creating stars. The stars were bigger so they got new atoms to join creating planets. One planet named was suitable for life so tiny germs. The rest nobody knows.

Step-by-step explanation:

Answer:

1 13/50

Step-by-step explanation:

4 1/5 * 3/10

Change the mixed number to an improper fraction

4 1/5 = (5*4+1)/5 = 21/5

21/5 *3/10

63/50

Changing back to a mixed number

1 13/50

Answer:

1 13/50

Step-by-step explanation:

4⅕ × 3/10

21/5 × 3/10

63/50

1 13/50

Answer:

hi buddy

the answer is a if we divide both with equation 4 then you can get the answer

hope it likes you.....

please mark brainlist

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

Answer:

5 ounces

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85 , 115 ] .

Answer:

7 is D and 8 is D

Step-by-step explanation:

I'm assuming you were asked for the volume of both of these.

7. The area of the trapezoid is 18 then multiply by the length of 8 to get 144 units cubed.

8. The area of the trapezoid is 28 then multiply by the length of 14 to get 392 units cubed.

Answer:

A = 63.63 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 = 9/2 = 4.5

A = 3.142 * (4.5)^2

A =63.6255 m^2

Rounding to 2 decimal places

A = 63.63 m^2

Answer:

8 days.

Step-by-step explanation:

To solve this, we will need to divide fractions to find the amount of days his fuel will last. Remember that when dividing fractions, you need to multiply by the reciprocal of the fraction.

We can do this by:

[tex]\frac{4}{5} * \frac{10}{1} = \frac{40}{5} = 8[/tex]

Therefore, his gas will last 8 days.

Answer:

8

Step-by-step explanation:

number of days=total fuel÷consumption per day

=(4/5)÷(1/10)

=4/5 ×10/1

=8 days

Answer:

You would do length x width x hight so it would be and don’t forget to add the inches

14x17.5x6.4= 1641.5in

Answer:

Cylinder

Step-by-step explanation:

The given geometric shape is of a cylinder.

Answer:

Cylinder

Step-by-step explanation:

The shape will make a cylinder if put together.

Answer:

y = -2​

Step-by-step explanation:

-7y -3=11​

Add 3 to each side

-7y -3+3=11+3

-7y = 14

Divide by -7

-7y/-7 = 14/-7

y = -2​

Answer:

Hello,

y = -2

Step-by-step explanation:

-7 y - 3 = 11​ ⇔ -7 y - 3 + 3 = 11 + 3 ⇔ -7 y = 14 ⇔ y = 14 / -7 ⇔ y = -2

Answer: 5

Step-by-step explanation: As a rule, parallel lines will always have the same slope. What that means is that if you're told that 2 lines are parallel, the slopes will be exactly the same for both of them.

So if the green line has a slope of 5, the red

line also has a slope of 5.

Answer:

Step-by-step explanation:

Answer:

The answer is 35

Step-by-step explanation:

70 divided by 2 is 35 which would be 35 miles per hour which would be your unit rate.

Surface area = [tex]\frac{4}{3} \pi r^{3}[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x 3 x 3 x 3 = 3.14 x 4 x 3 x 3 = 113.04 yd^2 = approx. 113.1 yd^2

Answer:

15 years old

Step-by-step explanation:

The equation would be

8x + 2x + x = 53

3x = 45

x = 15

Answer:

2t^3+15t^2+19t+6

Step-by-step explanation:

(t^2+7t+6)(2t+1)

=t^2*2t+t^2*1+7t*2t+7t*1+6*2t+6*1

=2t^3+15t^2+7t+12t+6

=2t^3+15t^2+19t+6

Answer:

1/36

Step-by-step explanation:

If the cubes are numbered from 1 to 6 there is just one way that the sum of both of them equals 12 and this is when Marsha gets 6 in the first cube and 6 in the other.

Thus, to know what the probability that the total of numbers facing up will equal 12 we would have to calculate the probability that the first cube is 6 AND the second one is also 6.

The probability that the first cube has the number 6 is: 1/6

The probability that the second cube has the number 6 is: 1/6

We need to multiply this numbers because they both have to be 6 (rule of multiplication),

so: [tex]\frac{1}{6}(\frac{1}{6} )= \frac{1}{36}[/tex]

Thus, the probability that the sum of them equals 12 is 1/36

Answer:

18

Step-by-step explanation:

volume= r × h = 2 × 9= 18

Answer:

The volume is 144[tex]\pi[/tex].

Step-by-step explanation:

In order to calculate the volume of a cylinder, you have to find the area of it's base. Because a cylinder's base is a circle, you use the formula A=[tex]\pi r{2}[/tex]. Substituting in the radius's length would be A=[tex]\pi (4){2}[/tex], which is A=16[tex]\pi[/tex]. Now that we know the base area of the cylinder, we multiply it by the height, which is 9 to calculate the volume. Therefore, the volume of the cylinder would be 9×16[tex]\pi[/tex], which is 144[tex]\pi[/tex].

Answer:

[tex] \purple { \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

Step-by-step explanation:

[tex] \sin \: 39 \degree = \frac{x}{25} \\ 25 \times \sin \: 39 \degree = x \\ \huge \red{ \boxed{x = 25 \times \sin \: 39 \degree}}[/tex]

Answer:

2401x^8y^12

Step-by-step explanation:

You raise 7 to the 4th power which means you multiply 7 four times. Then you multiply the exponents of 2 variables by 4.

Answer:

84.1% of all values in a normal distribution have z ≤ 1.00.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

The percent of all values in a normal distribution for which z ≤ 1.00.

This is the pvalue of Z = 1.

Z = 1 has a pvalue of 0.8413.

Converting to percentage, to the nearest tenth.

84.1% of all values in a normal distribution have z ≤ 1.00.

Answer:

Probabilty of winning the next two matches in a row = 1/9

Step-by-step explanation:

The total number of possible outcome = 3

(Win, lose, draw)

The probability of obtaining a win in a single match = 1/3

The probability of winning in two rows is 1/3² = 1/9

the answer is 0.85

because 25 plus 60

is 85

Answer:

So, every one inch in the real dog house would be equal to .4 on the scale drawing.

So,

8/.4= 20

10/.4= 25

So, the dog house is 20 by 25 inches.

The question asked for the area.

20*25= 500

The real dog house has an area of 500 in^2.

I hope this helps!

Step-by-step explanation: