Please help, step by step, I need to show the work, I just don’t know how to do it

Mathematics

1 answer:

Bumek [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The volume (V) of a rectangular prism is

V = lbh

where l is the length, b the width and h the height

We are looking for 3 values that multiply together to give 10

Considering each of the options

100 × $\frac{1}{2}$ × $\frac{1}{2}$ = 25 ≠ 10

10 × $\frac{1}{2}$ × 2 = 10

5 × 2 $\frac{1}{2}$ × 2 $\frac{1}{2}$ = 31.25 ≠ 10

10 × 10 × $\frac{1}{2}$ = 50 ≠ 10

B is the only possible dimensions for the prism

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Biologists have noticed that the chirping rate of crickets of a certain species is related to temperature, and the relationship

Step2247 [10]

Answer:

$y=\frac{1}{6}x+\frac{307}{6}$

Step-by-step explanation:

Basically the word problem here is trying to get us to find the line using the two points (113,70) and (173,80).

It also tells us by saying that we're modeling the temperature that we're going to be using the y = mx + b formula. m and b are what we'll mainly be looking for.

Let's start by finding m, the slope. We'll be using the point slope formula:

$\frac{y_2-y_1}{x_2-x_1} \\\frac{70-80}{113-173}\\\frac{10}{60}\\ \frac{1}{6}$

So m = 1/6.

Now let's use that m and choose one of the points (I chose (113,70) ) to plug in everything but b in the original formula

$y=\frac{1}{6} x+b\\70=\frac{1}{6}113+b\\420=113+6b\\307=6b\\\frac{307}{6}=b$

so now that we know our b and our m, we can plug those into the original equation to get our answer!

$y=\frac{1}{6}x+\frac{307}{6}$

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3 years ago

A semicircular flower bed has a diameter of 3 metre.

vesna_86 [32]

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This, rounded to the nearest decimal place is 3.5m^2

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sergiy2304 [10]

Step-by-step explanation:

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