MATHEMATICS HIGH SCHOOL

Heather wants to make a 36% acid solution.She has already poured 3 fl. oz. of a 72%
acid solution into a beaker. How many fl.
oz. of a 9% acid solution must she add to
this to create the desired mixture?

Answers

Answer 1
Answer:

Answer:

.72x + .27 = .36(x + 3)

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In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square?

Answers

f(x) = 4(x² - 6x + ___) + 20

completing the square.

a² + 2ab + b²

a² = x² = x * x
2ab = -6x =  2*x* -3
b² = -3² = 9

f(x) = 4(x² - 6x + 9) + 20
f(x) = 4x² - 24x + 36 + 20
f(x) = 4x² - 24x + 56

Answer:

9

Step-by-step explanation:

How is the weight moving between X=6 and X=7.5?

Answers

Have you looked at the graph ? ?

The weight is at the rest position of the spring and moving upward
when x=6.

During the next 1.5 seconds, it moves up to the upward limit (the
'amplitude' of the oscillation) and then back down to the rest position. 

When x=7.5, the weight is back at the spring's rest position, and moving
downward.
It would be moving 1.5 unp and down because the volume constant 

Solve 7(z +2) - 3z =44

Answers

7(z +2) - 3z =44
Distribute the 7. Distributive property: a(b+c) = ab + ac

7z + 14 - 3z = 44
Simplify like terms.

4z + 14 = 44
Subtract 14 to both sides

4z = 30
Divide by 4 on both sides.


z = 7.5
distribute 7: 
7z+14-3z=44
4z+14=44
4z=30
z=15/2

3. Teesha is in french club. there are 19 students in the club. The french teacher will pick two students at random to guide visiting students from France. What is the probability that Teesha will not be picked up as a guide. A. 2/19
B. 17/19
C. 1/18
D. 18/19

Answers

I think the answer is D! Hope that helps! Let me know if I’m wrong tho!!!

Simplify. x 0 yz -3


Simplify. x 0 yz -3

Answers

Answer:

y / z^3

Step-by-step explanation:

x^0 is 1 because anything to the zero power is 1

1 *y z^-3

We know a^-b = 1/a^b

y / z^3

Answer:

\small \sf \frac{y}{z {}^( 3)}

Step-by-step explanation:

x⁰yz-³

  • Any non expression raised to power of 0 equals 1.

\small \sf \: 1yz {}^( - 3)

  • Express with positive exponents using \small \sf \: a {}^( - n) = (1)/(a^n)

1y +\small \sf \frac{1}{ z {}^( 3)}

\small \sf \frac{y}{z {}^( 3) }

Anna and Bill share a 16-ounce box of cereal. By the end of the week, Anna has eaten 5
8
of the box, and Bill has eaten
1
4
of the box of cereal. How many ounces are left in the box?

Answers

Answer:

2 ounces

Step-by-step explanation:

1 = 5/8 - 1/4 = 1/8

16 x 1/8 = 2 oz

Answer:

2 ounces left

Step-by-step explanation:

if anna ate 5/8 of the box, and Bill has eaten 1/4 of the box, then in total they’ve eaten 7/8 if the box (1/4 turns into 2/8 + 5/8)

1/8 of the box is left and 1/8 of 16 is 2. so 2 ounces would be left
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