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3 years ago

0.8 - 0.5 ÷ 5 + 0.2 (i know the answer is 0.9. i need to know how to get that. as by what i'm doing i keep getting 0.5. tia)

Mathematics

1 answer:

ANTONII [103]3 years ago

4 0

Answer:

Yes it's 0.9

Step-by-step explanation:

I got that by putting on my calculator and that's it ...

The calculator gave me the

answer

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X 451 412 451 Find the value of x. A. 42 2 B. 4 C. 43 D. 43

marysya [2.9K]

Answer:

B. 4

Step-by-step explanation:

cos(45°) = x/4√2

√2/2 = x/4√2

x = 4√2•√2/2

x = 4

8 0

3 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

3 years ago

To the nearest whole number 16,671 is

Pepsi [2]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Find the area of each sector.

sergey [27]

Answer:

D. $\frac{525\pi}{8}$ m²

Step-by-step explanation:

Area of the sector = ½*r²∅

Where,

Radius (r) = 15 m

Angle in radians (∅) = $\frac{7\pi}{12}$

Plug in the values into the equation

Area of sector = $\frac{1}{2} * 15^2 * \frac{7\pi}{12}$

Area of sector = $\frac{1}{2} * 225 * \frac{7\pi}{12}$

Area of sector = $\frac{1*225*7\pi}{2*12}$

Area of sector = $\frac{1,575\pi}{24}$

Simplify

Area of sector = $\frac{525\pi}{8}$

5 0

3 years ago

Klein stated before 7:10 meg inlinewhich shows this distance written as a decimal

vfiekz [6]

Since decimals have places in 10 100 and 1000 you need a denominator with those number but since you already have a 10 you take the 7 and add a 0. in front so the answer is 0.7

5 0

4 years ago

0.8 - 0.5 ÷ 5 + 0.2 (i know the answer is 0.9. i need to know how to get that. as by what i'm doing i keep getting 0.5. tia)​

0.8 - 0.5 ÷ 5 + 0.2 (i know the answer is 0.9. i need to know how to get that. as by what i'm doing i keep getting 0.5. tia)