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2 years ago

Can somebody help me on these two

Mathematics

1 answer:

Zarrin [17]2 years ago

6 0

to find the slope for the first one, use the formula $\frac{y2-y1}{x2-x1}$

(It's the slope formula)

so... $3=y2, 3=y1, 2=x2, 10=x1$

then plug in... $\frac{3-3}{2-10} =\frac{0}{-8} = 0$

this line has a slope of 0

As for the miles problem, to find mph, the miles have to be at 1.

so... $4x=242\\x=60.5$

therefore, he drove 60.5 mph

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The initial population of a town is 2600, and it grows with a doubling time of 10 years. Determine how long it will take for the

choli [55]

Answer:

It will take the 20 years for the population to quadruple.

Step-by-step explanation:

Exponential population growth:

An exponential model for population growth has the following model:

$P(t) = P(0)(1+r)^t$

In which P(0) is the initial population and r is the growth rate, as a decimal.

It grows with a doubling time of 10 years.

This means that $P(10) = 2P(0)$ . We use this to find r. So

$P(t) = P(0)(1+r)^t$

$2P(0) = P(0)(1+r)^10$

$(1+r)^10 = 2$

$\sqrt[10]{(1+r)^10} = \sqrt[10]{2}$

$1+r = 2^{\frac{1}{10}}$

$1 + r = 1.0718$

$P(t) = P(0)(1+r)^t$

$P(t) = P(0)(1.0718)^t$

Determine how long it will take for the population to quadruple.

This is t for which P(t) = 4P(0). So

$P(t) = P(0)(1.0718)^t$

$4P(0) = P(0)(1.0718)^t$

$(1.0718)^t = 4$

$\log{(1.0718)^t} = \log{4}$

$t\log{1.0718} = \log{4}$

$t = \frac{\log{4}}{\log{1.0718}}$

$t = 20$

It will take the 20 years for the population to quadruple.

5 0

2 years ago

A team is excavating an archeological site. The original plan was to excavate a rectangular area 35 ft long

nikitadnepr [17]

Answer:

Part 1) The length of the new rectangle is $87.5\ ft$

Part 2) The area of the new rectangle is $4,375\ ft^{2}$

Step-by-step explanation:

we know that

If two rectangles are similar, then the ratio of its corresponding sides is proportional

step 1

Find the length of the new rectangle

Let

L-----> the length of the new rectangle

$\frac{50}{20}=\frac{L}{35}\\ \\ L=50*35/20\\ \\L=87.5\ ft$

step 2

Find the area of the new rectangle

we know that

The area of the rectangle is

$A=LW$

we have

$L=87.5\ ft$

$W=50\ ft$

substitute

$A=(87.5)(50)=4,375\ ft^{2}$

3 0

2 years ago

I need help please help me if you can and show ur work!

aliina [53]

Answer:

x = 65

Step-by-step explanation:

Triangle interior angle sum is 180 degrees.

2x + 25 + 25 = 180

2x = 130

x = 65

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2 years ago

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Which set of numbers has 21 as a common factor?

Soloha48 [4]

Answer:

the answer is A {126,168,189}

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2 years ago

Someone help and please make sure it’s right

VMariaS [17]

Answer:

x=10

Step-by-step explanation:

18x=180

x=10

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2 years ago