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3 years ago

The booster club needs to raise at least $6,000 for new football uniforms. So far, they have raised $1,200.

Mathematics

1 answer:

lana66690 [7]3 years ago

3 0

Answer:

• Let x be the number of members

• In inequalities, at least means greater or equal ( ≥ )

${ \underline{ \mathfrak{ \: answer : }}}$

${ \boxed{ \boxed{ \rm{x + 1200 \geqslant 6000}}}}$

• To get the average, substitute for x as 99 and amount collected by each member

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If y=a sin 3x+ b cos 3x and <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bd%5E%7B2%7D%20y%20%7D%7Bdx%5E%7B2%7D%20%7D" id="TexFormu

Black_prince [1.1K]

Step-by-step explanation:

You have to do first and second derivatives :

y = a sin 3x + b cos 3x

dy/dx = 3a cos 3x - 3b sin 3x

d²y/dx² = - 9a sin 3x - 9b cos 3x

Next, you have to compare it :

let d²y/dx² = ky,

-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)

-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)

Therefore, k is equals to 9.

3 0

3 years ago

Rachel, Adam, Michelle, Hannah, and James are going to the movies. They have $65 to spend on tickets and snacks. Each movie tick

alex41 [277]

Steps to solve:

47.5 + 4.5x ≤ 65

~Subtract 47.5 to both sides

4.5x ≤ 17.5

~Divide 4.5 to both sides

x ≤ 3.8888888889...

So, yes, the friends will have to share snacks.

Best of Luck!

3 0

3 years ago

Read 2 more answers

One day at 3:00 a.m., the temperature was -13°F in Kodiak, Alaska. At 10:00 a.m., the temperature was 22°F. What was the average

suter [353]

-13 to 0 = 13 degrees changed. 0 to 22 is 22 degrees changed. 13 + 22 = 35 degree change.

10-3 = 7.

So there was a change of 35 degrees across 7 hours

35/7 = 5 degrees per hour.

6 0

3 years ago

A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A to

timofeeve [1]

Answer:

$\frac{37}{389}$

Step-by-step explanation:

Given that a medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

Group I Group II Total

n 187 202 389

favour x 11 26 37

The fraction of older Americans who were included in the study suffered broken bones during the three-year period

=Total x/total n

= $\frac{37}{389}$

4 0

3 years ago

Using Newton's Method, what is the formula for determining the nth term in a sequence of approximations to a solution of a polyn

lorasvet [3.4K]

Step-by-step explanation:

in newton rapson method