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Thepotemich [5.8K]

3 years ago

12

Please help and thank you!

1 answer:

aleksklad [387]3 years ago

4 0

Answer:

1/(k^2)

Step-by-step explanation:

Because the k's are above one another in the fraction format, using exponent rules you would subtract the top number exponents with the bottom number exponents (note do not do anything with the letter k). 5-7= -2, and k^-2 is the same as 1/(k^2).

Hope you have a great day and this helps! :)

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A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

3 years ago

Solve for n.<br> n + 1 = 4(n - 8)<br> n = 1<br> T<br> n = 8<br> n = 11<br> n = 16

Komok [63]

Answer:

n=11

Step-by-step explanation:

n+1=4(n-8)

11+1=4(11-8)

12=4(3)

12=12

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Write an equation in standard form given: m= -3/4 and b=5.

Dmitry [639]

Answer:

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Step-by-step explanation:

The slope-intercept equation would be:

y=mx+b

y=-3/4(x)+5

But standard form is

ax+by=c

We can obtain this by moving the -3/4(x) to the left side

$\frac{3x}{4} +y=5$

Multiply both sides by 4 to get rid of the fraction

3x+4y=20

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Answer:

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