53.01 as as decimal?

Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin

Ahat [919]

I guess this reads

$\displaystyle\int_1^4f(x)\,\mathrm dx=19$

$\displaystyle\int_1^4g(x)\,\mathrm dx=12$

You want to compute

$I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx$

By linearity of the definite integral,

$I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx$

$I=8\cdot19-12+7(4-1)=\boxed{161}$

3 0

3 years ago

A bike rental company charges $10 plus a charge per for the distance ridden. the total cost, t, can be represented by the equati

goblinko [34]

Answer:

$c=\frac{t-10}{m}$

Step-by-step explanation:

$t=10+cm$

Subtract 10 from both sides:

$t-10=cm$

Divide both sides by $m$ :

$\frac{t-10}{m}=c$

Placing $c$ on the left:

$c=\frac{t-10}{m}$

For example, if the total charge is $27.50 and the distance ridden is 250 mi, we can calculate the additional cost per mile, as such:

$c=\frac{27.50-10}{250}$

$c=0.07$

4 0

1 year ago

ANYWAYS next one qwq I’m already loosing hope and self esteem

AnnZ [28]

Answer:

4.18

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

if u can answer all them correctly ill make a post for u and u can have all my coins just pls answer them all im begging

Shkiper50 [21]

Answer: this is a continuation starting in number 4 (use the same steps as example 3)

Step-by-step explanation:

-12

45

-12

14

32

-2

5

7 0

3 years ago

A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says t

solniwko [45]

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 $\times$ 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered = 12 $\times$ 20 = 240

Around 240 apples were ordered.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 $\times$ 8 = 336

Rounding off 42 to 40, number of apples sold = around 320

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

Correct answer is:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

4 0

3 years ago