Find the slope for the following pair of points:<br><br> (12,-16) and (3, 0)

Write a real world situation that could be modeled be the equation 120 + 25x =45x

Savatey [412]

Is renting a car
company A charges $120 plus 25 dollars per day

company B charges 45 dollars per day

at how many days will the costs be equal

120+25x
x=days
45x

120+25x=45x
subtract 25x from btoh sdies
120=20x
divide both sdie sb 20
6=x

the answer is 6 days

4 0

2 years ago

What is the place value of 8 in 281480100

laiz [17]

The number 8 is in Ten thousand space

4 0

3 years ago

Read 2 more answers

\int (x+1)\sqrt(2x-1)dx

Nezavi [6.7K]

Answer:

$\int (x+ 1) \sqrt{2x-1} dx = \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{15}(2x-1)^{\frac{5}{2}} + C$

Step-by-step explanation:

$\int (x+1)\sqrt {(2x-1)} dx\\Integrate \ using \ integration \ by\ parts \\\\u = x + 1, v'= \sqrt{2x - 1}\\\\v'= \sqrt{2x - 1}\\\\integrate \ both \ sides \\\\\int v'= \int \sqrt{2x- 1}dx\\\\v = \int ( 2x - 1)^{\frac{1}{2} } \ dx\\\\v = \frac{(2x - 1)^{\frac{1}{2} + 1}}{\frac{1}{2} + 1}} \times \frac{1}{2}\\\\v= \frac{(2x - 1)^{\frac{3}{2}}}{\frac{3}{2}} \times \frac{1}{2}\\\\v = \frac{2 \times (2x - 1)^{\frac{3}{2}}}{3} \times \frac{1}{2}\\\\v = \frac{(2x - 1)^{\frac{3}{2}}}{3}$

$\int (x+1)\sqrt(2x-1)dx\\\\ = uv - \int v du$

$= (x +1 ) \cdot \frac{(2x - 1)^{\frac{3}{2}}}{3} - \int \frac{(2x - 1)^{\frac{3}{2}}}{3} dx \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ \ u = x + 1 => du = dx \ ]$

$= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{3} \int (2x - 1)^{\frac{3}{2}}} dx\\\\= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{3} \times ( \frac{(2x-1)^{\frac{3}{2} + 1}}{\frac{3}{2} + 1}) \times \frac{1}{2}\\\\= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{3} \times ( \frac{(2x-1)^{\frac{5}{2}}}{\frac{5}{2} }) \times \frac{1}{2}\\\\= \frac{1}{3}(x+1) (2x - 1)^{\frac{3}{2} } - \ \frac{1}{15} \times (2x-1)^{\frac{5}{2}} + C\\\\$

6 0

2 years ago

Kevlar epoxy is a material used on the NASA space shuttles. Strands of this epoxy were tested at the 90% breaking strength. The

Ratling [72]

Answer:

range = 7.87

X = 62.12, X²= 164.3516

mean = 1.2424

variance = 1.779

standard deviation = 1.33379

coefficient of variation = 107.3559%

Step-by-step explanation:

a.) The range =

highest number - lowest number

= 7.89 - 0.02

= 7.87

b.) from the attachment I solved for X and X²

∑X = 62.12

∑X² = 164.3516

c.)

the mean = ∑x/n

n = 50

= 62.12/50

= 1.2424

variance =

σ² = [∑x²-(∑x)²/n] / n-1

= [164.3516 - (62.12)²/50] / 50-1

= 164.3516 - 77.17788/49

= 87.173712/49

= 1.779

standard deviation = √σ

= √1.779

= 1.33379

d. coefficient of variation

= σ/mean * 100

= 1.33379/1.2424 * 100

= 107.3559

This number tells us that the the standard deviation of the time to failure is larger than the average time. option 3 is the correc4 answer here

6 0

2 years ago

do you think you could use a multiplication algorithm to multiply a 4-digit number by a 1-digit number? explain

scoray [572]

Yes i could. The multiplication process will even be more simple since it only involve small number.

For Example:

1234
5
_______x

4 x 5 20
5 x 30 150
5 x 200 1000
5 x 1000 5000
________+

6170

4 0

3 years ago

Find the slope for the following pair of points: (12,-16) and (3, 0)