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2 years ago

Answer ASAP pls thanks and God bless you

Mathematics

1 answer:

Pie2 years ago

5 0

<h2>Answer:</h2>

We need to plug in the numbers for x and y into the expression for x and y.

$2x^{2} - y\\\\2(3)^{2} - (-2)\\\\2(3)^{2} + 2\\\\18 + 2\\\\20$

The simplified answer is <em>20</em>.

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The value of y varies jointly with the values of x and z When x = 4 and z = 10, the value of y is 360.

Igoryamba

Answer:

Step-by-step explanation:

Joint variation is given by:

$y=kxz$

Where k is some constant.

We are given that y = 360 when x = 4 and z = 10. Therefore:

$360=k(4)(10)$

Solving for k:

$40k=360\Rightarrow k=9$

Therefore, our equation is:

$y=9xz$

Then when x = 5 and z = 12:

$y=9(5)(12)=540$

The answer is A.

3 0

2 years ago

A book has 500 pages numbered 1,2,3 and so on. How many times does the digit 1 appear in the page numbers?

elena-14-01-66 [18.8K]

Answer:

$200$

Step-by-step explanation:

This book has 500 pages in total.

We should split up the place values.

1 - 9

One only appears once.

10 - 19

One appears 11 times.

1 + 11

20 - 99

One only appears 8 times.

1 + 11 + 8

Add:

1 + 11 + 8

=> 20

Since the same is for 200-299, and so on. Let us add twenty four times.

20 * 4

=> 80

Looking back to 100-199, there are 120 ones.

Add:

120 + 80

=> 200

4 0

2 years ago

How do I simplify this (sinx)/(secx+1)

pochemuha

Answer:

Step-by-step explanation:

$\frac{sin~x}{sec~x+1} =\frac{sin~x}{\frac{1}{cos~x}+1 } =\frac{sin~x~cos~x}{1+cos~x} \\=\frac{sin~x~cos~x}{1+cos~x} \times \frac{1-cos~x}{1-cos~x} \\=\frac{sin~x~cos~x(1-cos~x)}{1-cos^2 x} \\=\frac{sin~x~cos~x(1-cos~x)}{sin^2x} \\=\frac{cos~x(1-cos~x)}{sin~x} \\=cos ~x(csc~x-cot~x)\\or\\=cot~x(1-cos~x)$