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3 years ago

Sierra's karate class lasts 56 day. How many weeks does the class last?

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

5 0

Answer:

8 weeks.

Step-by-step explanation:

There are 7 days in a week so the answer is 56/7 = 8 weeks.

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Evaluate the function f(10) F(10)=6x^2-4x+25

Goryan [66]

Answer:

Step-by-step explanation:

f(10) = 6(10)^2 - 4(10) + 25 = 6(100) - 40 + 25

600 - 40 + 25 = 520 + 25 = 545

8 0

3 years ago

Long division 3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2

inna [77]

$(6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2) / (3x+1)$

We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.

$6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\$

We repeat previous steps until we run out of numbers:
$3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2$
$\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}$

We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
$(2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )$

6 0

3 years ago

An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then

Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

Given system of equations

5(s-w)=900

4(s+w)=900

Set equations equal to each other

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

Solve for w using the substitution s=9w

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0

3 years ago

The diagonal of a television measures 27 inches.If the width is 22 inches, calculate its height to the nearest inch.

scoray [572]

Using the Pythagorean theorem, the height of the television is approximately 16 inches.

<h3>How to Apply the Pythagorean Theorem?</h3>

Given the following:

Length of the diagonal of the television = 27 inches

Width of the television = 22 inches.

Height of the television = ?

Using the Pythagorean theorem, we would find the height of the television as shown below:

Height of the television = √(27² - 22²)

Height of the television = √(729 - 484)

Height of the television = √245

Height of the television ≈ 16 inches

Thus, using the Pythagorean theorem, the height of the television is approximately 16 inches.

Learn more about the Pythagorean theorem on:

brainly.com/question/343682

#SPJ1

4 0

1 year ago

HELP!!! IM HAVING TROUBLE

Sergeeva-Olga [200]

so lets do some rounding!

3,972,463 can be rounded to 4,000,000

4,562,234 can be rounded to 4,500,000

so the answer should be D

hope that helped, have a nice day and vote me for brainliest if it helped!

8 0

4 years ago

Sierra's karate class lasts 56 day. How many weeks does the class last?​

Sierra's karate class lasts 56 day. How many weeks does the class last?