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choli [55]
4 years ago
10

The number of apples in a box decreased from 150 to 135. What is the percent decrease of the number of apples in the box?

Mathematics
1 answer:
goblinko [34]4 years ago
5 0

Answer:

10% decrease

Step-by-step explanation:

The formula for percent change is:

\frac{\textrm{New}-\textrm{Old}}{\textrm{Old}} \times 100

Therefore, for this example:

\frac{\textrm{New}-\textrm{Old}}{\textrm{Old}} \times 100=\frac{135-150}{150} \times 100=-10\%

The negative value indicates that the change was a decrease. Therefore, there was a 10% decrease.

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True or false: the equation tan^2x+1=sec^2x
zhenek [66]

ANSWER

True

EXPLANATION

The given trigonometric equation is:

{ \tan}^{2} x + 1 = { \sec}^{2} x

We take the LHS and simplify to arrive at the RHS.

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x}{{ \cos}^{2} x}  + 1

Collect LCM on the right hand side to get;

{ \tan}^{2} x + 1 =  \frac{{ \sin}^{2} x + {\cos}^{2} x}{{ \cos}^{2} x}

This implies that

{ \tan}^{2} x + 1 =  \frac{1}{{ \cos}^{2} x} .

{ \tan}^{2} x + 1 =  {( \frac{1}{ \cos(x) }) }^{2}

{ \tan}^{2} x + 1 =  { \sec}^{2} x

This identity has been verified .Therefore the correct answer is true.

3 0
3 years ago
Solve for x −7x > 10
swat32

Answer:

x <  -  \frac{5}{3}

Step-by-step explanation:

x - 7x > 10 \\ subtract \: x \: to \: 7x \\  \\  - 6x > 10 \\ divide \: both \: sides \: by \:  - 6 \\  \\ x <  -  \frac{5}{3}

3 0
3 years ago
Suppose you have $500,000 for retirement in 20 years.Your account earns 6% interest. How much would you need to deposit in the a
laiz [17]

Answer:

30,000

Step-by-step explanation:

What I did was 6 divided by 100 and I got 0.06 times the the 500,000 and got 30,000 so your answer should be 30,000. Hope this helps and let me know if I'm wrong. have a great day!

6 0
3 years ago
(2.5×10^−10)(7×10^−6)
Nataly [62]
<span>(2.5×10^−10)(7×10^−6) 
= (2.5 x 7) (</span>10^−10 x 10^−6)
= 17.5 x 10^-16
= 1.75 x 10^-15

answer
<span>B. 1.75×10^−15 </span>
6 0
4 years ago
How do you wire 0.52 in words
Alexxx [7]

Answer: fifty-two hundredths

Step-by-step explanation:

4 0
3 years ago
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