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4 years ago

Acellus

Mathematics

1 answer:

34kurt4 years ago

3 0

Answer:

161

Step-by-step explanation:

<u>Given:</u>

$a_1=1\\ \\a_n=3a_{n-1}+2$

<u>Find:</u> $a_5$

First, find the second term. Substitute n=2:

$a_2=3a_1+2=3\cdot 1+2=3+2=5$

Now, find the third term, substitute n=3:

$a_3=3a_2+2=3\cdot 5+2=15+2=17$

Find the 4th term, substitute n=4:

$a_4=3a_3+2=3\cdot 17+2=51+2=53$

At last, find the fifth term, substitute n=5:

$a_5=3a_4+2=3\cdot 53+2=159+2=161$

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Jacob the dog eats dry food that contains 324kcal/cup. Jacob eats 3.5 cups a day. The food contains 3.6 g of fat in 100 kcals of

natita [175]

Answer:

His daily fat intake is 40.824 g .

His daily Vitamin D intake is 290.304 IU .

Step-by-step explanation:

1 cup contains 324 kcal

Jacob eats 3.5 cups a day.

So, total calories in Jacob food = $324 \times 3.5$

= $1134 kcal$

Amount of fat in 100 kcals = 3.6g

Amount of fat in 1 kcal = $\frac{3.6}{100}$

Amount of fat in 1134 kcal = $\frac{3.6}{100} \times 1134$

= $40.824g$

So, his daily fat intake is 40.824 g .

Amount of vitamin D in 100 kcals = 25.6 IU

Amount of vitamin D in 1 kcal = $\frac{25.6}{100}$

Amount of vitamin D in 1134 kcal = $\frac{25.6}{100} \times 1134$

= $290.304$

So, His daily Vitamin D intake is 290.304 IU .

7 0

3 years ago

Match each equation with the correct property. 5 + 6 = 6 + 5 2(5 + 6) = 2(5) + 2(6) (3 x 5) x 6 = 3 x (5 x 6) 5 x 6 = 6 x 5

STALIN [3.7K]

Answer:

It is x2=x

Step-by-step explanation:

5 0

3 years ago

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There are 50 homes in a new neighborhood. Every month 3 new homes are built until the neighborhood is complete with a total of 7

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Answer:

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Step-by-step explanation:

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4 years ago

Write and solve an absolute value inequality.

Otrada [13]

Compound inequalities are used to combine several inequalities

The solution as a compound inequality is $374$

Assume the correct amount of jelly beans in the jar is x.

15 away from x can be represented as 15 - x or x - 15

The correct number of jelly beans is given as 389.

So, when the statement is represented as an absolute inequality, we have:

$|x - 15| < 389$

Express as compound inequality:

$389 - 15$

Evaluate like terms

$374$

Hence, the solution as a compound inequality is $374$

Read more about compound inequalities at:

brainly.com/question/1851664

8 0

2 years ago

I need help on this question

shutvik [7]

Remember that lateral surface area is just the total surface area minus the area of the base and top of the solid. The pyramid doesn't have a top, so you'll only be subtracting the area of the base.

Start by calculating the entire surface area S.A.. The question gives you the dimensions for the sides and the area for the base, so

$\frac{1}{2}$ b×h gives you the area of 1 side, multiply that by 3 and add the area of the base to find the entire surface area in square feet. Since there are two pyramids, just multiply this by two.

since the price of 1 square foot of foil is $0.22, multiply the total surface area of the two pyramids by 0.22 to find the cost of covering the entire pyramids. We'll call this number Price1 and set it aside for now.

to find the lateral surface area, or the surface area minus the base, just subtract the area of the base from the surface area you calculated before. This will result in the lateral surface area. Again since there are two pyramids, you multiply the result by two.
To find out how much this costs, again, just multiply the result by 0.22, we'll call this number Price2.

Now you finally find out how much money is saved by subtracting Price2 from Price1.

Price1 - Price2 = total money saved

Hope that helps.

4 0

3 years ago