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3 years ago

Write the first 6 answers to the sequence and please explain how you got them

Mathematics

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

Step-by-step explanation:

a1 = 7

a2 = 4(7) = 28

a3 = 4(28) = 112

a4 = 4(112) = 448

a5 = 4(448) = 1792

a6 = 4(1792) = 7168

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A sample of marble has a volume of 6 cm3 and a density of 2.76 g/cm3. What is its mass?

Drupady [299]

Answer:

$16.56\ g$

Step-by-step explanation:

we know that

The density is equal to the mass divided by the volume

Let

x-----> the mass of marble

y----> the volume of marble

z----> the density of marble

$z=\frac{x}{y}$

in this problem we have

$y=6\ cm^{3}$

$z=2.76\ g/cm^{3}$

substitute and solve for x

$2.76=\frac{x}{6}$

$x=2.76*6=16.56\ g$

3 0

3 years ago

Read 2 more answers

Lester’s car can go 15.4 miles on 1 gallon of gas. How far can he go on 0.7 gallon?

MAVERICK [17]

Answer:

He can go 10.78 miles

Step-by-step explanation:

This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:

$\frac{15.4\,miles}{1\,gallon} =\frac{x }{0.7\,gallon}$

and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:

$\frac{15.4\,miles}{1\,gallon} =\frac{x}{0.7\,gallon}\\\frac{15.4\,miles\,*\,0.7\,gallon}{1\,gallon} =x \\x=10.78\,miles$

7 0

3 years ago

A publisher reports that 45% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

nexus9112 [7]

Answer:

$z=\frac{0.40 -0.45}{\sqrt{\frac{0.45(1-0.45)}{370}}}=-1.933$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=370 represent the sample selected

$\hat p=0.4$ estimated proportion of readers owned a laptop

$p_o=0.45$ is the value that we want to test

z would represent the statistic

$p_v$ represent the p value

Creating the hypothesis

We need to conduct a hypothesis in order to test if the true proportion of readers owned a laptop is different from 0.45, the system of hypothesis are:

Null hypothesis: $p=0.45$