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3 years ago

Write numbers in standard form.

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

5.
$8.5 \times {10}^{ - 8} = \\ = 8.5 \times \frac{1}{{10}^{8} } = \\ = \frac{8.5}{100000000} = \\ = 0.000000085$
6.
$5.19 \times {10}^{6} = \\ =5.19 \times 1000000 = \\ = 5190000$
7.not visible
8.
$4.002 \times {10}^{ - 3} = \\ = 4.002 \times \frac{1}{ {10}^{3} } = \\ = \frac{4.002}{1000} = \\ = 0.004002$

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Find the sum of the first 8 terms of the sequence: -5. 15, -45, 135, .......

MakcuM [25]

Sum of geometric sequence

for the sum where the initial value is a₁ and the common ratio is r and the term is n

$S_n= \frac{a_1(1-r^n)}{1-r}$

common ratio is -3
-5 times -3 is 15, -15 times -3=-45 etc
first term is -5
and we want the 8th term

$S_8= \frac{-5(1-(-3)^8)}{1-(-3)}$
$S_8= \frac{-5(1-6561)}{1+3}$
$S_8= \frac{-5(-6560)}{4}$
$S_8= \frac{32800}{4}$
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2 years ago

Solve for x. −7≥13−5x

Sergio039 [100]

Answer:

$=>x\geq 4$

Step-by-step explanation:

Given inequality is $−7\geq13−5x$

Simplifying:

$5x\geq13+7$

$=>5x\geq20$

$=>x\geq \frac{20}{5}$

$=>x\geq 4$

Hence the solution for the given inequality is represented by $=>x\geq 4$

This means that the original inequality will be true only for those values of x which are greater than or equal to 4.

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3 years ago

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

Art [367]

Answer:

The claim made by the motor company was true. The old sedan, the Libra, would average less than 19 miles per gallon in the city.

Step-by-step explanation:

In this case we need to test the claim made by the Carter Motor Company, that their old sedan, the Libra, would average less than 19 miles per gallon in the city.

The hypothesis to test the claim is as follows:

H₀: The old sedan, the Libra, would average not less than 19 miles per gallon in the city, i.e. μ ≥ 19.

Hₐ: The old sedan, the Libra, would average less than 19 miles per gallon in the city, i.e. μ < 19.

It is provided that the conclusion is to reject the null hypothesis.

This implies that, it was concluded that the old sedan, the Libra, would average less than 19 miles per gallon in the city.

Hence, the claim made by the motor company was true.

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3 years ago

Bob has to pack 192 boxes. This morning, he packed 84 boxes in 312 hours. If Bob continues at the same rate, how long will it ta

kondor19780726 [428]

Answer:

51.69 hours (see explanation)

Step-by-step explanation:

This question is simple once you break it down:

84 boxes in 312 hours is a rate, so it can be shown in fraction form:

84 boxes / 312 hours

Now to figure out how long it takes to unpack those 192 boxes, just multiply:

192 x 84/312

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Now, just divide the numbers:

16128 ÷ 312 = 51.69 hours

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Answer:

Step-by-step explanation:

(a*b)-c

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