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Leviafan [203]
3 years ago
14

Which number sentence shows the correct placement of the decimal point in the product, based on the two factors?

Mathematics
2 answers:
lina2011 [118]3 years ago
4 0

Answer:

D

Step-by-step explanation:

25.07 x 5.4 = 135.378

So D is the correct answer

Lana71 [14]3 years ago
3 0

2.52 * 27.94 = 70.4088, so not that one

94.1 * 2.5 = 235.25, so not that one

1.83 * 2.9 = 5.307, so not that one

25.07 * 5.4 = 135.378, so that one

Answer:

D. 25.07 * 5.4 = 135.378

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A geometric sequence is shown below.
mestny [16]

Answer:

An explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

Step-by-step explanation:

Given the geometric sequence

-\frac{1}{2},\:-2,\:-8,\:-32,...

A geometric sequence has a constant ratio, denoted by 'r', and is defined by

f_n=f_1\cdot r^{n-1}

Determining the common ratios of all the adjacent terms

\frac{-2}{-\frac{1}{2}}=4,\:\quad \frac{-8}{-2}=4,\:\quad \frac{-32}{-8}=4

As the ratio is the same, so

r = 4

Given that f₁ = -1/2

substituting r = 4, and f₁ = -1/2 in the nth term

f_n=f_1\cdot r^{n-1}

f_n=-\frac{1}{2}\cdot \:4^{n-1}

Thus, an explicit representation for the nth term of the sequence:

f_n=-\frac{1}{2}\cdot \:4^{n-1}

It means, option (B) should be true.

8 0
2 years ago
Amanda can jog 18 miles in 5 hours.<br> At this rate, how many miles can Amanda jog in 4 hours?
vekshin1

Answer:

14.4 miles

Step-by-step explanation:

5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour

3 0
3 years ago
Read 2 more answers
Given that lines a and b are parallel, what angles formed on line b when cut by the transversal are congruent with ∠2?
Kruka [31]

Answer:

The angles formed on line b when cut by the transversal are congruent with ∠2 are \angle{6}\text{ and }\angle{7}

Step-by-step explanation:

Consider the provided information.

If transversal line crossed by two parallel lines, then, the corresponding angles and alternate angles are equal .

The angles on the same corners are called corresponding angle.

Alternate Angles:  Angles that are in opposite positions relative to a transversal intersecting two lines.

∠2 and ∠6 are corresponding angles

Therefore, ∠2 = ∠6

∠2 and ∠7 are alternate exterior angles

Therefore, ∠2 = ∠7

Hence, the angles formed on line b when cut by the transversal are congruent with ∠2 are \angle{6}\text{ and }\angle{7}

3 0
3 years ago
tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edge
xeze [42]

Answer:

The length of the edge of the cube = 4 inches

Step-by-step explanation:

* Lets describe the cube

- It has 6 faces all of them are squares

- It has 8 vertices

- It has 12 equal edges

∵ The volume of any formal solid = area of the base × height

∵ The base of the cube is a square

∴ Area base = L × L = L² ⇒ L is the length of the edge of it

∵ All edges are equal in length

∴ Its height = L

∴ The volume of the cube = L² × L = L³

* Now we have the volume and we want to find the

 length of the edges

∵ Its volume = 64 inches³

∴ 64 = L³

* Take cube root to the both sides

∴ ∛64 = ∛(L³)

∴ L = 4 inches

* The length of the edge of the cube = 4 inches

5 0
3 years ago
110,411 in expanded form
Neporo4naja [7]
One hundred and ten thousand , four hundred and eleven

11000 + 400 +11
5 0
3 years ago
Read 2 more answers
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