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3 years ago

Which equation results from taking the square root of both sides of (x - 9)2 = 81?

Mathematics

1 answer:

otez555 [7]3 years ago

4 0

Answer:

х – 9 = +9

Step-by-step explanation:

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Which is an arithmetic sequence?

puteri [66]

B) is an arithmetic sequence because you are adding by 2 each time. The other sequences don’t match this criteria.
I’m sorry I’m not sure what else to say I hope this somewhat helped :/
Have a great day :)

5 0

2 years ago

9/x=32/56 <br> Solve for z

lions [1.4K]

Answer:

x = 15.75

Step-by-step explanation:

I'm going to assume you mean solve for x so:

$\frac{9}{x} =\frac{32}{56} \\\\32x=504\\x=15.75$

6 0

2 years ago

In a statistics class there are 18 juniors and 10 seniors; 6 of the seniors are females and 12 of the juniors are males. If a st

White raven [17]

Answer:

a) 0.857

b) 0.571

c) 1

Step-by-step explanation:

Based on the data given, we have

18 juniors
10 seniors
6 female seniors
10-6 = 4 male seniors
12 junior males
18-12 = 6 junior female
6+6 = 12 female
4+12 = 16 male
A total of 28 students

The probability of each union of events is obtained by summing the probabilities of the separated events and substracting the intersection. I will abbreviate female by F, junior by J, male by M, senior by S. We have

P(J U F) = P(J) + P(F) - P(JF) = 18/28+12/28-6/28 = 24/28 = 0.857

P(S U F) = P(S) + P(F) - P(SF) = 10/28 + 12/28 - 6/28 = 16/28 = 0.571

P(J U S) = P(J) + P(S) - P(JS) = 18/28 + 10/28 - 0 = 1

Note that a student cant be Junior and Senior at the same time, so the probability of the combined event is 0. The probability of the union is 1 because every student is either Junior or Senior.

3 0

2 years ago

Given that a = 5 , b = − 2 and c = − 2 work out 2 b − 3 a c

aev [14]

Answer:

Step-by-step explanation:

$a = 5 ,\\b = - 2 \\ c = - 2 \\ 2b - 3ac=?\\2(-2) -3(5)(-2)\\-4 +30\\= 26$

5 0

2 years ago

Read 2 more answers

PLEASE HELP me solve algebraically. J) 4(1-2j) = 7(2j + 10) K) 4/3h=12 L) n/5= 2 + n/3 M) d/4 - 2/3 = 2 N= 7= -2 (-3 - x)

Paul [167]

Answer:

Step-by-step explanation:

J )

$4(1-2j) = 7(2j + 10),\\4-8j=14j+70,\\-8j=14j+66,\\\\-22j=66,\\j = - 3,\\\\Solution, j = - 3$

I applied the distributive property, resulting in the second step. Afterwards I subtracted 4 from either side of the equation, received - 22j = 66 after combining like terms, and divided - 22 on either side to get j = -3.

K )

$4 / 3h = 12,\\4h = 36,\\h = 36 / 4 = 9\\\\Solution, h = 9$

Multiplying each end of the equation by 3 resulted in the simplified expression 4h = 36. Dividing either side by 4, I got h = 9.

M )

$d / 4 - d / 3 = 2,\\3d - 4d = 24,\\- d = 24,\\\\Solution, d = - 24$

Taking the LCM of 4 and 3, I got 12, multiplying either side by 12 / 12. Combining like terms and dividing - 1 on either side of the equation - d = 24, I received d = - 24.

N )

$7 = - 2 * ( - 3 - x ),\\- 3 - x = - 7 / 2,\\- x = - 1 / 2,\\\\Solution, x = 1 / 2$

After dividing the first equation by - 2 on each end, I received a simplified equation that, by adding 3 on it's part, got x to be = 1 / 2

8 0

2 years ago