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3 years ago

What is an explicit equation for the geometric sequence: 48, 12, 3

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

An equation to generate the nth term of the sequence is 144/(3^n).

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Find the value of f(-3)f(−3).

rjkz [21]

F(-3) means when x = -3
Find the value on the graph

Solution: f(-3) = 6

7 0

3 years ago

The following two triangles have the same angles, and are similar. What is the ratio of hypotenuse to base for the triangles?

STatiana [176]

Answer:

A) The ratio of hypotenuse to base for the triangles is 0.75

Step-by-step explanation:

Here, the given question is INCOMPLETE.

The following two triangles have the same angles, and are similar. What is the ratio of height to base for the triangles?

A) .75

B) 1.00

C) 1.25

D) 2.50

Here, given that the two triangles are similar.

In triangle one:

Height = 6 units , Base = 8 units

In triangle one:

Height = 3 units , Base = 4 units

Now,as the two given triangles are similar.

⇒Their corresponding sides are PROPORTIONAL.

$\implies \frac{H}{h} = \frac{B}{b} = \frac{6}{8} = \frac{3}{4} = 0.75$

So, in both the triangles, the corresponding side ratio is 0.75.

Hence, the ratio of hypotenuse to base for the triangles is 0.75

5 0

4 years ago

Does anyone know how to solve this ratio?

timofeeve [1]

Answer:

The answer to this question is 11:3

8 0

3 years ago

Write the equation 8x+3y=-3 in slope intercept form.

saw5 [17]

Answer:

y=8/3x-1

Step-by-step explanation:

y=mx+b

You turn 8 & 3 into a fraction while keeping the X.

7 0

3 years ago

Victor is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangula

insens350 [35]

Answer:

(a) 156 cm²

Step-by-step explanation:

The total surface area of the 12 blocks can be computed by first finding the surface area of one block. That result can then be multiplied by 12. The area of one rectangular prism is given by the formula ...

A = 2(LW +H(L +W))

A = 2(4·1 +1/2(4+1)) = 2(4 +5/2) = 13 . . . cm²

The area of 12 such prisms will be ...

12 × (13 cm²) = 156 cm²

Victor needs 156 cm² of fabric to cover 12 blocks.

_____

<em>Additional comment</em>

This problem offers an opportunity to exercise your number sense. The area of the largest surface of one block is (4 cm)×(1 cm) = 4 cm². 12 of these surfaces will have an area of 48 cm². This is only part of the total area, so the only reasonable choice among those offered is 156 cm².

6 0

2 years ago