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Serjik [45]
4 years ago
6

Which of the following represents a first step in solving the equation (x - 6)² = 9?

Mathematics
1 answer:
Alik [6]4 years ago
3 0
"B." Because you must do what's in the parenthesis first. So 6² is 36 so that would be x-36=9 then to solve it x-36=9 \\ +36=x-9 \\ 9+36=45 \\ x=45
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The height of a ball above the ground in feet is defined by the function h(t) = -16t Squared + 80t +3, where t is the number of
jasenka [17]
Plug in 2 for t.
=> -16*(2^2) +80*2 +3
=> -16*4 +160 +3
=> -64+163
=> 99
6 0
3 years ago
Gerry's electric toothbrush rotates the brush 125 times per second.
makkiz [27]

Answer:

Her electric toothbrush makes 210,000 rotations in one week

Step-by-step explanation:

Note that:

  • 1 minute = 60 seconds
  • 1 week= 7 days

∵ Gerry brushes her teeth for two minutes, twice a day

→ Twice means times 2

∴ Gerry brushes her teeth for 2 × 2 = 4 minutes a day

∵ Gerry's electric toothbrush rotates the brush 125 times per second

∵ 1 minute = 60 seconds

→ Multiply 125 by 60 to find the number of rotating in 1 minute

∴ Gerry's electric toothbrush rotates 125 × 60 = 7,500 in 1 minute

∵ Gerry brushes her teeth for 4 minutes a day

→ Multiply it by 4 to find the number of rotation in 1 day

∴ Gerry's electric toothbrush rotates 7,500 × 4 = 30,000 in 1 day

∵ 1 week = 7 days

→ Multiply the number of rotation in 1 day by 7 to find it in 1 week

∴ Gerry's electric toothbrush rotates 30,000 × 7 = 210,000 in 1 week

∴ Her electric toothbrush makes 210,000 rotations in one week

3 0
3 years ago
Which one is an irrational number?
gladu [14]

Answer:

The irrational number is 4.37124...

Step-by-step explanation:

This is because the number is non-terminating and non-repeating; as in the numbers don't repeat in the same order and they never end.

5 0
3 years ago
What are 9 mulitples of 13
vagabundo [1.1K]

Answer:

See below

Step-by-step explanation:

13*1 = 13

13*2 = 26

13*3 = 39

13*4 = 52

13*5 = 65

13*6 = 78

13*7 = 91

13*8 = 104

13*9 = 117

13*10 = 130

3 0
4 years ago
Read 2 more answers
A manager at a local company asked his employees how many times they had given blood in the last year. The results of the survey
Lubov Fominskaja [6]

Answer:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

Step-by-step explanation:

For this case we have the following distribution given:

X        0         1       2       3       4         5        6

P(X)  0.3   0.25   0.2   0.12   0.07   0.04   0.02

For this case we need to find first the expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And replacing we got:

E(X)= 0*0.3 +1*0.25 +2*0.2 +3*0.12 +4*0.07+ 5*0.04 +6*0.02=1.61

Now we can find the second moment given by:

E(X^2) =\sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2)= 0^2*0.3 +1^2*0.25 +2^2*0.2 +3^2*0.12 +4^2*0.07+ 5^2*0.04 +6^2*0.02=4.97

And the variance would be given by:

Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779

And the deviation would be:

Sd(X) =\sqrt{2.3779}= 1.542 \approx 1.54

 

8 0
4 years ago
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