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3 years ago

Write an recursive formula for an, the nth term of the sequence 75, -15, 3, ...

Mathematics

1 answer:

artcher [175]3 years ago

4 0

Answer:

why the lowest level of an energy pyramid contains the most organisms and the highest level of an energy pyramid contains the least organisms.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)

you're welcome and thank you for my plane

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Jack's lunch at a restaurant costs $13.00, without tax. He leaves the waiter a 17% tip of the cost of the lunch. What is the tip

dusya [7]

Answer:

$2.21

Step-by-step explanation:

Given data

Cost = $13.00

Tip= 17%

Let us find the amount of the tip

=17/100*13

=0.17*13

=$2.21

Hence the tip is $2.21

4 0

3 years ago

You're given two side lengths of 6 centimeters and 9 centimeters. Which measurement can you use for the length of the third side

mr Goodwill [35]

It would be 9 centimeters.

8 0

3 years ago

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Sara has a stack of 8 plates, each plate is 0.5 inches tall and she is trying to wrap them as a gift.

AlekseyPX

Answer:

The plates will not fit into the box.

Step-by-step explanation:

Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of $0.5in*8 = 4inches$ .

Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.

What we want to figure out now is the height of the cylindrical box to see if it is greater than or equal to 4 inches—the height of the stack of plates.

The volume of a cylinder is $\pi R^2h$ , and since for our cylindrical box the volume is 150 cubic inches; therefore,

$\pi R^2h = 150in^3$

putting in $R = 5in$ and solving for height $h$ we get

$h = \dfrac{150in^3}{\pi (5)^2}$

$h = 1.91\: inches$ ,

which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.

5 0

4 years ago

You pay 3.5% annual simple interest for 12 years on a loan, and you pay $1,512 in interest. How much is the principal?

Anika [276]

A = Pe^rt
Amount of interest paid = Principal*e^ (rate*time)
(The rate must be in decimal form)
3.15% / 100 = .0315

1,512 = P[e^(.0315*12)]
1,512 / e^(.0315*12) = P
1036.06 = P
$1036.06 was the Principal
** I left that value unrounded to the hundreds place because one doesn’t round with money. :)

Good luck!

4 0

3 years ago

3(y-3)+2(5+3y)+24(2y-5)+6(5-y)

N76 [4]

I am not sure about my ans....

5 0

3 years ago

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