what are the domain and range of the function f(x)=5x-3+1?​

Answer:

Continuous

Step-by-step explanation:

There is never a period of time when the water's flowing halts because the opening and closing of the first and second pipe are overlapping. Hope this helps (:

Answer:

5 sqrt 3

Step-by-step explanation:

on edge 2020

Answer:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin t\, dt = \pi -5[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt[/tex]

Since this is a product of two functions, we can use Integration by Parts. Recall that:

[tex]\displaystyle \int u\, dv = uv - \int v\, du[/tex]

Let u be t² - 3t and let dv be sin(t).

Thus:

[tex]du = 2t - 3\, dt[/tex]

And:

[tex]\displaystyle v = \int \sin t\, dt = - \cos t[/tex]

So:

[tex]\displaystyle =\left(-\cos t\right)\left(t^2-3t\right)\Bigg|_0^{\pi/2}-\int_{0}^{\pi/2} \left(-\cos t\right)\left(2t-3\right)\, dt[/tex]

Simplify:

[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_{0}^{\pi /2}+\int\limits^{\pi/2}_ {0} \,\cos(t)(2t-3)\, dt[/tex]

We can use IBP once more.

Let u be 2t - 3 and let dv be cos(t). Therefore:

[tex]du = 2\, dt[/tex]

And:

[tex]\displaystyle v = \int \cos t\, dt = \sin t[/tex]

So:

[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_0^{\pi/2}+\left(\sin(t)(2t-3)\Bigg|_0^{\pi /2}-\int\limits^{\pi/2}_0 \, 2\sin(t)dt \right)[/tex]

Evaluate:

[tex]\displaystyle =-\left(\cos t\right)(t^2-3t)+\sin(t)(2t-3)+2\cos(t)\Bigg|_0^{\pi /2}[/tex]

Evaluate the first section:

[tex]\displaystyle \begin{aligned} &= -\cos\left(\frac{\pi}{2}\right)\left(\left(\frac{\pi}{2}\right)^2-3\left(\frac{\pi}{2}\right)\right)+\sin\left(\frac{\pi}{2}\right)\left(2\left(\frac{\pi}{2}\right)-3\right)+2\cos \left(\frac{\pi}{2}\right)\right) \\ \\ &= (0) + (1)(\pi -3) + (0) \\ \\ &= \pi -3 \end{aligned}[/tex]

And the second:

[tex]\displaystyle \begin{aligned} &= -\cos(0)((0)^2-3(0))+(\sin(0))(2(0)-3)+2\cos(0 ) \\ \\&=(0)+(0)+(2) \\ \\ &= 2\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt = (\pi -3) -(2) = \pi -5[/tex]

Answer:

what the answer is b

Step-by-step explanation:

hope this helped

Answer:

initial velocity = o

then , answer will be 0 because initial velocity.

displacement =o

Answer:

$80.12

Step-by-step explanation:

Step 1:

$160.65 × 0.5

Answer:

$80.12

Hope This Helps :)

Answer:

160.65*0.05-8.0325

160.65-8.0325=152.6175 so $152.62

Step-by-step explanation:

Answer:

Answer. 5.0/5. 6.

Step-by-step explanation:

I am not doing step by step you should know this

Answer:C.

Step-by-step explanation:just took on edge

Answer:

2y - 12

Step-by-step explanation:

Correct answer choice is:

Answer:

-2/8

Step-by-step explanation:

-3r-9+7=5r

-2=5r+3r

r=-2/8

hope this helped you( ꈍᴗꈍ)

Answer:

r = -1/4

Step-by-step explanation:

5r = -3(r + 3) +7

multiplying -3 with r + 3

5r = -3r - 9 +7

taking -3r on the other side of equality sign

5r + 3r = -9 + 7

8r = -2

dividing 8 by -2

r = -2/8

simplifying -2/8

r = -1/4

Answer:

b. common sides

c. from statement a and b

d. from statement c

f. from statement e

g. by SAS axiom

h. from statement g

Answer:

7 minutes

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 3 }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{x}{ - 4} = \frac{3}{4} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{x \times 4 = 3 \times ( - 4)}}[/tex]

[tex] \dashrightarrow{ \sf{4x = - 12}}[/tex] ( Multiplying a positive integer and negative integer gives a negative integer )

Divide both sides of the equation by 4

[tex] \dashrightarrow{ \sf{ \frac{4x}{4} = \frac{ - 12}{4} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = - 3}}[/tex]

Hope I helped!

Best regards! :D

Answer:

I googled it and it said that 29/37 as a decimal was 0.783783784

The required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].

An equivalent expression, equivalent to 29/37 is to determine.

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Given fraction,
= 28/37
when dividing 28 by 37 the outcome is
= 0.783783783783.......
The above expression is a recurring decimal it can be transformed as [tex]0.\bar7\bar8\bar3[/tex] where the bars over the number show the repeating digits.

Thus, the required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].

More information about recurring decimal check it out here:
https://brainly.com/question/820308

#SPJ5

Answer:

The stickers are divided by groups of

2/10, 3/10 and 5/10

2/10 * 70 = 14

3/10 * 70 = 21

5/10 * 70 = 35

14 + 21 + 35 = 70

So, the stickers are allotted to the 3 children in a group of

14 to one child, 21 to another child, and 35 to the third child.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:

[tex]8x+2[/tex]

And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:

[tex]8x+2=50[/tex]

To find the number, we just need to find x. Thus, subtract 2 from both sides:

[tex]8x=48[/tex]

Divide both sides by 8:

[tex]x=6[/tex]

And we're done!

So, our original number was 6.

Answer:

45

Step-by-step explanation:

Answer:

71.875

use long division so the 5.75 goes on top of the 0.08

Answer:

Step-by-step explanation:

(2x−3)(3x+6)

=(2x+−3)(3x+6)

=(2x)(3x)+(2x)(6)+(−3)(3x)+(−3)(6)

=6x2+12x−9x−18

=6x2+3x−18

Answer:

FH=24

Step-by-step explanation:

37-13=24

90 tiene 12 divisores:

1; 2; 3; 5; 6; 9; 10; 15; 18; 30; 45; 90

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; 10\, \;\ \\ $ } }\\[/tex]

Step-by-step explanation:

What numbers are divisible by 90?

For this question, there are more than 1 answer. I am doing the number 10 because it is easier.

I have attached an image. You will have to turn the image because it was taken from mobile.

Hope this helps!

Answer:

Step-by-step explanation:

2 2/3

Answer:

21 years

Step-by-step explanation:

Given

[tex]Initial\ Height = 4\frac{1}{2}[/tex]

[tex]Final\ Height = 40[/tex]

[tex]Difference = 1\frac{3}{4}[/tex]

Required

Determine the years it'll take to grow to the final height

This question depicts arithmetic progression and will be solved using

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]T_n = 40[/tex]

[tex]a = 4\frac{1}{2}[/tex]

[tex]d = 1\frac{3}{4}[/tex]

Substitute these values in the given formula;

[tex]40 = 4\frac{1}{2} + (n - 1)1\frac{3}{4}[/tex]

Convert all fractions to decimal

[tex]40 = 4.5 + (n - 1) * 1.75[/tex]

Open Brackets

[tex]40 = 4.5 + 1.75n - 1.75[/tex]

Collect Like Terms

[tex]1.75n = 40 - 4.5 + 1.75[/tex]

[tex]1.75n = 37.25[/tex]

Divide both sides by 1.75

[tex]n = \frac{37.25}{1.75}[/tex]

[tex]n = 21.2857142857[/tex]

[tex]n = 21[/tex] (Approximated)

The number of years it will take for the tree to have a height greater than 40 feet is 23 years

Given:

Height of the tree = 4 1/2 feet

Growth rate per year = 1 3/4 feet

Expected growth rate = 40 feet

Expected Number of years = y

The inequality:

4 1/2 + 1 3/4y > 40

Subtract 4 1/2 from both sides

1 3/4y > 40 - 4 1/2

7/4y > 40 - 9/2

7/4y > (80-9)/ 2

7/4y > 79/2

divide both sides by 7/4

y > 79/2 ÷ 7/4

y > 79/2 × 4/7

y > (79×4) ) (2×7)

y > (316) / 14

y > 22.57142857142857

Approximately,

y > 23 years

Therefore, number of years it will take for the tree to have a height greater than 40 feet is 23 years

Read more:

https://brainly.com/question/3153507

Answer:

c. 0.778 < p < 0.883.

Step-by-step explanation:

The formula for confidence interval for proportion =

p ± z score × √p(1 - p)/n

p = x/n

n = 195, x = 162

z score for 95% confidence Interval = 1.96

p = 162/195

p = 0.8307692308

p ≈ approximately equal to = 0.8308

0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195

0.8308 ± 1.96 ×√0.8308 × 0.1692/195

0.8308 ± 1.96 × √0.0007208788

0.8308 ± 1.96 × 0.0268491862

0.8308 ± 0.052624405

Confidence Interval

= 0.8308 - 0.052624405

= 0.778175595

Approximately = 0.778

= 0.8308 + 0.052624405

= 0.883424405

Approximately = p

0.883

Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883

Answer: 25 and 30 is an example... hope this helped. If you have any more question lmk

Answer:

60

Step-by-step explanation:

x=48+12 Find what x is

x=60 X is 60

Answer:

Step-by-step explanation:

You would have 58 hours per day of work. We need to divide 720 by 58 in order to get your answer. Because 720 is 30 days times 24 hours.