Find the perimeter of the triangle whose vertices are the following, specified points in the plane.
(-10,-3), (1,4) and (-1,7)

The Given integral is :

∫x²√x³ + 37 dx ; u = x³ + 37

Answer:

2/9(x³ + 37)^3/2 + C

Step-by-step explanation:

∫x²√x³ + 37 dx ; u = x³ + 37

∫x²√u dx

Since u = x³ + 37

Differentiate u with respect to x

du/dx = 3x²

du = 3x²dx

dx = du / 3x²

∫x²√u dx = ∫x²√u du/3x²

1/3x²∫x²√u du

1/3 ∫ √u du

Integrating √u with respect to u

1/3 ∫ u^1/2 du

1/3 [u^(1/2+1) / 1/2 + 1] + C

1/3 [u^3/2 / 3/2] + C

1/3 u^3/2 * 2/3 + C

1/3*2/3 u^3/2 + C

2/9 u^3/2

u = x³ + 37

2/9(x³ + 37)^3/2 + C

Answer: 667 bagels in 23 hours. 29 bagels per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

i hade this qu for classwoerk today

Answer:

We conclude that:

csc (U) = 26 / 24        

Step-by-step explanation:

Given

To determine

csc (U) = ?

Using the trigonometric ration

sin Ф = opposite / hypotenuse

substituting Ф = U, opposite = 24, hypotenuse = 26

sin (U) = 24/26

We know that: csc (U) = [1 ] / [sin(U)]

Therefore,

csc (U) = [1 ] / [sin(U)]

            = 26 / 24

Therefore, we conclude that:

csc (U) = 26 / 24        

Answer:

x = -3  and x = - 3/4

Step-by-step explanation:

We can use the quadratic formula to solve for x, considering a = 4 , b = 15, and c = 9:

[tex]x=\frac{-b+/- \sqrt{b^2-4a*c} }{2*a} \\x=\frac{-15+/- \sqrt{(-15)^2-4*4*9} }{2*4}\\x=\frac{-15+/- \sqrt{81} }{8}\\x=\frac{-15+/- 9 }{8}=-\frac{6}{8} \,\,or\,\,-\frac{24}{8} \\x=-\frac{3}{4}\,\,or\,\,x=-3[/tex]

Answer:

d. A good line of best fit is y= 0.36x -20.15 because this is what the regression calculator returns if all the data except the point (86, 2) are entered. :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I believe

Have a nice day :)

Answer:

0.328 [tex]m^{2}[/tex]

Step-by-step explanation:

820mm = 82cm = 0.82m

400mm = 40cm = 0.40m

0.82 x 0.40 = 0.328

If a rectangular tray is 820mm long and 400mm wide. Its area in m²​ will be: 0.328m²

Using this formula

Area=Length × Width

First step is to covert from millimeter to meter

1 millimeter=0.1 centimeter

Hence:

Length=820mm×0.1÷100

Length=0.82m

Width=400mm×0.1÷100

Width= 0.40m

Let plug in the formula

Area=0.82m x 0.40m

Area= 0.328m²​

Inconclusion If a rectangular tray is 820mm long and 400mm wide. Its area in m²​ will be: 0.328m².

Learn more here:

https://brainly.com/question/3340228

Answer:

Step-by-step explanation:

Answer:

The answer is 684.04

Step-by-step explanation:

Answer:I think it would be C

Step-by-step explanation:

Answer:

1) B

-2x+y=4

+2x+3y=20.

4y=24

2) 4y=24. divide both sides by 4

y= 6

3) (Pick any equation you like, change y to 6)

-2x+6=4 subtract 6 to both sides

-2x=-2 divide by -2

x=1

or

2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides

2x=2. divide by 2

x=1

4) (x,y) change the x and y to their values. (1,6)

Step-by-step explanation:

explained on top

[tex]7 \frac{1}{2} [/tex]

First, convert any mixed numbers to fractions. An easy way to convert:

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

[tex] \frac{9}{2} \div \frac{3}{5} [/tex]

Then, apply the fractions formula for division.

[tex] \frac{9 \times5 }{2 \times 3} = \frac{45}{6} [/tex]

Then, simplify.

[tex] \frac{45}{6} = 7 \frac{1}{2} [/tex]

Answer:

x = 2213

Step-by-step explanation:

We need to find the value of x, which is multiplied by 10. We know that 10x = 22130, so all we need to do is divide both sides by ten.

10x ÷ 10 = x

22130 ÷ 10 = 2213

Therefore, x = 2213

NOTE:

I'm not sure if you meant to type x10, because if so, that's an entirely new equation. If you just meant 10x, you can ignore this.

To solve this, you have to take the root of both sides and solve.

Exact Form:

x  =  10 √ 22130 ,  − 10 √ 22130  

Decimal Form:  x = 2.71955684 … ,  − 2.71955684 …

Answer:

x = 2213

Step-by-step explanation:

22130/10 = 2213

Answer:

$549

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year,

then, solving our equation

I = 3050 × 0.06 × 3 = 549

I = $ 549.00

The simple interest accumulated

on a principal of $ 3,050.00

at a rate of 6% per year

for 3 years is $ 549.00.

Answer:

I’m pretty sure 549

Step-by-step explanation:

Answer:

The packet of ketchup is 7.5cm long

I took this so that the long lines are a full cm and half lines are half a cm

if you take the half lines as 1cm then the answer is 8

Answer:

$155

Step-by-step explanation:

3 + 10 + 30 + 100 + 12 =

Answer:

$155

Step-by-step explanation:

3 + 10 + 30 + 100 + 12 = 155

You are by far, much richer than me

Answer: help a homegirl out

Step-by-step explanation: let me get these points please

Answer:

that makes no sence at all you are doing some weird work

Answer:

10

Step-by-step explanation:

12

Answer:

33/20

Step-by-step explanation:

Answer:

1.65 is the answer just put a decimal

Complete question :

A college football coach wants to know if the is a correlation between his players' leg strength and the time it takes for them to sprint 40 yards. he sets up the following test and records the data:

Every day for a week, he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The tables shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

Leg Press (reps)|40-yard Dash (s)

15 |5.2

18 |6.3

8 |6.8

30 |8.2

26 |8.0

12 |5.3

21 |5.9

Answer:

ŷ = 0.1073X + 4.5365

6.9

Step-by-step explanation:

Leg Press (reps)X:

15

18

8

30

26

12

21

Y:

5.2

6.3

6.8

8.2

8.0

5.3

5.9

Using a regression calculator :

The equation of line of best fit is :

ŷ = 0.1073X + 4.5365

Slope or gradient = 0.1073

Intercept = 4.5365

X = independent or predictor variable (leg press)

Y = predicted variable (40 yard dash)

B)

X = 22

Y = 0.1073(22) + 4.5365

Y = 6.8971

Y = 6.9

Answer:

2 fractions are equal

Step-by-step explanation:

We say that two quantities are proportional if one is always the same multiple of the other.

Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,

[tex]\frac{2}{3}=\frac{4}{6}[/tex]

Answer:

a = -2

Step-by-step explanation:

The graphs of the lines would have to be parallel.  So they must have the same slope.   2x + y = -1 changed to slope-intercept form is y = -2x - 1.  Therefore, the slope of that line is -2.   y = ax is in slope-intercept form where the slope is a.  So, a must equal -2.

Answer:

x=1

Step-by-step explanation:

i did it

Answer:

30.98

Step-by-step explanation:

Answer:

30.98

Step-by-step explanation: