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3 years ago

If 7 L of a solvent costs $73 per liter, then the value of the 7 L of solvent is

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

$511

Step-by-step explanation:

If each liter costs $73$, then 7 liters is 7 times 73, which is $511.

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Solve the inequality.−8≤2/5(k−2) The / is not a division sign.

Dvinal [7]

Answer: x is grater or equal to -18

Inter el notation

[-18,oo)

Step-by-step explanation:

7 0

3 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

Vlad spent 20 minutes on his history homework and then completely solved x math problems that each took 2 minutes to complete. W

Veronika [31]

To solve you first need to pick out the most important information,
~Spent 20 minutes
~Each prob takes 2 minutes
Lets have y be the total time spent, and x the number of probs
(y/2) = x
Hope this helped!! ^-^

6 0

4 years ago

Read 2 more answers

PLEASE HELP !!!!

Bess [88]

Answer:

About 31 years

Step-by-step explanation:

Given data

Principal= $3500

Rate= 4.75%

Final amount= $15,000

Time=??

The expression for time on compound interest is

Calculate time, solve for t

t = ln(A/P) / r

substitute

Calculate time, solve for t

t = ln(15000/3500) / 0.0475

t= ln(4.2857)/ 0.0475

t= 1.4552/0.0475

t= 30.63 years

Hence it will take about 31 years

4 0

3 years ago

What is the missing symbol (?) to make this true? 54 + 24 ? 23 – 30 = 32

Aloiza [94]

The division ➗ ÷ sign will make the expression correct if you correct the question!

5 0

3 years ago