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3 years ago

8

When Naina got on the airplane in New York City, the temperature was 33°F. The airplane landed in Houston, where the temperature

was 85°F. Which integer represents the increase in temperature from New York to Houston?

1 answer:

lys-0071 [83]3 years ago

4 0

The temperature grew from 33 Fahrenheit to 85 Fahrenheit. I used subtraction to find an answer, 55 Fahrenheit from New York to Houston.

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An employee puts $3,000 into a retirement fund that offers 7% interest compounded annually. The employee makes no other deposits

Nookie1986 [14]

Answer:

$840

Step-by-step explanation:

Given data

Principal = $3000

Rate= 7%

Time= 4 years

The expression for the simple interest is

SI= PRT/100

substitute

SI= 3000*7*4/100

SI= 30*7*4

SI= $840

Hence the interest is $840

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3 years ago

Which expression is equivalent to -3 1/8 minus 2 1/2

Sav [38]

-25/8 minus 5/2
(You just turn them into improper fractions)

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Which of the following is an example of a null hypothesis? A. The average quantity of detergent put into a box by this filling m

gavmur [86]

Answer:

C

Step-by-step explanation:

Null hypothesis: hypthesis to test that there is no significant difference between the specific characteristic of a population. Analysts look to reject a null hypothesis

A. the shipping company's average delivery time is different from 3 days. This is an example of alternative hypothesis. Null hypothesis is writtien as a claim

B. This again is an example of alternate hypthesis. The claim that mean is 0.03 is rejected with the results

C. This is a claim

D. This is rejection of a claim that mean is 1 pound

E. This is rejection of claim that average delivery time is 3 days.

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3 years ago

Simplify the expression below and write it as a single logarithm:

OLEGan [10]

The simplification of 3log(x + 4) – 2log(x – 7) + 5log(x - 2) - log(x^2) is $\log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

<u>Solution:</u>

Given, expression is $3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)$

We have to write in as single logarithm by simplifying it.

Now, take the given expression.

$\rightarrow 3 \log (x+4)-2 \log (x-7)+5 \log (x-2)-\log \left(x^{2}\right)$

Rearranging the terms we get,

$\left.\rightarrow 3 \log (x+4)+5 \log (x-2)-2 \log (x-7)+\log \left(x^{2}\right)\right)$

$\text { since a } \times \log b=\log \left(b^{a}\right)$

$\rightarrow \log (x+4)^{3}+\log (x-2)^{5}-\left(\log (x-7)^{2}+\log \left(x^{2}\right)\right)$

$\text { We know that } \log a \times \log b=\log a b$

$\rightarrow \log \left((x+4)^{3} \times(x-2)^{5}\right)-\left(\log \left((x-7)^{2} \times\left(x^{2}\right)\right)\right.$

$\text { We know that } \log a-\log b=\log \frac{a}{b}$

$\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

Hence, the simplified form $\rightarrow \log \left(\frac{(x+4)^{3} \times(x-2)^{5}}{(x-7)^{2} \times x^{2}}\right)$

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3 years ago

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What unit do we use to measure angles??

Katarina [22]

Degrees (not like celsius or temperature though)

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