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2 years ago

What is the value of the expression with g=1.5? 5g^2

Mathematics

1 answer:

worty [1.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

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AveGali [126]

22) D. 5 miles

23) E

24) C. 4:30

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3 years ago

Estimate the integral ∫6,0 x^2dx by the midpoint estimate, n = 6

Anettt [7]

Splitting up the interval [0, 6] into 6 subintervals means we have

$[0,1]\cup[1,2]\cup[2,3]\cup\cdots\cup[5,6]$

and the respective midpoints are $\dfrac12,\dfrac32,\dfrac52,\ldots,\dfrac{11}2$ . We can write these sequentially as ${x_i}^*=\dfrac{2i+1}2$ where $0\le i\le5$ .

So the integral is approximately

$\displaystyle\int_0^6x^2\,\mathrm dx\approx\sum_{i=0}^5({x_i}^*)^2\Delta x_i=\frac{6-0}6\sum_{i=0}^5({x_i}^*)^2=\sum_{i=0}^5\left(\frac{2i+1}2\right)^2$

Recall that

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$
$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$
$\displaystyle\sum_{i=1}^n1=n$

so our sum becomes

$\displaystyle\sum_{i=0}^5\left(\frac{2i+1}2\right)^2=\sum_{i=0}^5\left(i^2+i+\frac14\right)$
$=\displaystyle\frac{5(6)(11)}6+\frac{5(6)}2+\frac54=\frac{143}2$

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2 years ago

The probability that a student has a Visa card (event V) is .76. The probability that a student has a Master card (event M) is .

Rufina [12.5K]

Answer:

The Probability of both happening is <u>0.304</u>.

Step-by-step explanation:

P(A) × P(B)

= 0.76 × 0.4

= <u>0.304</u>

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1 year ago

Officer Brimberry wrote 16 tickets for traffic violations last week, but only 2 tickets this week. What is the percent decrease?

Verdich [7]

Answer:

87.5%

Step-by-step explanation:

It decreased by 16 - 2 or 14, and since he wrote 16 tickets last week, the answer is 14/16 in percent form, or 7/8 = 87.5%.

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2 years ago

Jon has $45.00. He plans to spend 4/5 of his money on sports equipment. How much will he spend

stich3 [128]

He will spend 80% of his money

5 0

3 years ago