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vitfil [10]
3 years ago
10

although she's only on middle school, Tamiya loves to drive Go-Karts her favorite place to go drive Go-Karts, Drivers Delight, h

as 3 circlular tracks.Track 1 has a radius of 60 feet. Track to has a radius of 85 feet. track 3 has a radius of 110 feet. compute the circumference of track 1
Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Circumference = r * 2 * pi

Circumference of track 1 is 376.8

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An amount of $15,000 is invested in a fund that has a return of
IrinaVladis [17]

Answer:

$12000 should be invested in a fund with a 4% return.

Step-by-step explanation:

Consider the provided information.

An amount of $15,000 is invested in a fund that has a return of  6%.

We need to calculate how much money is invested in a fund with a 4% return if the  total return on both investments is $1380.

Let $x should be invested in a fund with a 4% return.

The above information can be written as:

1380=15000\times 6\%+x\times 4\%

1380=15000\times \frac{6}{100}+x\times \frac{4}{100}

1380=150\times6+x\times 0.04

1380-900=0.04x\\480=0.04x\\x=12000

Hence, $12000 should be invested in a fund with a 4% return.

6 0
3 years ago
Last Thursday was costume day at Emmet's school. 108 out of the 120 students at the school wore a costume. What percentage of th
klasskru [66]

Answer:

90%

Step-by-step explanation:

100%=120 pupils

           108pupils

 108 x 100= 10800/120=90 %

3 0
3 years ago
Precalc.
viktelen [127]
Domain: x>0.

(\log_2x)^2+7\log_2x+12=0

Substitute t=\log_2x\in\mathbb{R}. We have:

 t^2+7t+12=0\\\\a=1\qquad b=7\qquad c=12\\\\\\\Delta=b^2-4ac=7^2-4\cdot1\cdot12=49-48=1\\\\\sqrt{\Delta}=\sqrt{1}=1\\\\\\
t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\
t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3

For t₁ there will be:

\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}

and for t₂:

\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}

Answer d)


6 0
3 years ago
PLS HELP ASAP!!!!!!!!!!!
Neko [114]

Answer: x= 12

Step-by-step explanation:

3x+6 = 42

or, 3x = 36

so, x = 12

4 0
2 years ago
Read 2 more answers
What is coefficient tern and constant  6xy-5xy
GREYUIT [131]
Coefficient is 6 and -5
constant is xy
3 0
3 years ago
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