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3 years ago

How many integers between 1000 and 2000 have all three of the numbers 15,20 and 25 as factors

Mathematics

1 answer:

elena-s [515]3 years ago

3 0

Answer:

Step-by-step explanation:

We have that,

Least common multiple of the numbers 15, 20 and 25 is 300.

So, any number being factor of 300 will also be a factor of all three numbers 15, 20 and 25.

Now, the factors of 300 in the range 1000 and 2000 are 1200, 1500 and 1800.

So, the numbers 1200, 1500 and 1800 will have the numbers 15, 20 and 25 as factors.

Hence, there are three numbers having 15, 20 and 25 as factors.

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Evaluate intergral 10xe exponent 10x dx

Shtirlitz [24]

Answer:

for this type of question, integral by parts should be used . This involves using the formula for intregation by parts:

intudv=uv-intvdu.

lets first break apart the x and e10x into two parts - "u" and "v"

where u = x.

however, we need to find the value of v. in order to do this, we can integrate dv/dx in order to get to v.

the value of dv/dx is : e10x

u = x dv/dx = e10x

as seen in the formula, you need to have a value for u, dv, v and du.

therefore in order to get du you must differentiate u:

u = x

du/dx = 1

du = 1dx = dx

du = dx

in order to get v you need to integrate dv/dx:

\displaystyle \inte10x dx = 1/10 x10x

now that we have both parts, we can put this back into the formula.

intudv=uv-intvdu.

\displaystyle \intxe10x = x * 1/10e10x - \displaystyle \int1/10e10x dx

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find x. <br> 30 <br> 20 <br> Need help with this question asap

Molodets [167]

Cos=adjacent/hypotenuse
Cos30=x/20
x=cos30 *20

Sorry I don’t have a calculator right now

6 0

3 years ago

Read 2 more answers

The inspection division of the Lee County Weights and Measures Department is interested in estimating the actual amount of soft

cluponka [151]

Answer:

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 64 - 1 = 63

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 2.387

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.387\frac{0.06}{\sqrt{64}} = 0.02$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.99 - 0.02 = 2.97 liters

The upper end of the interval is the sample mean added to M. So it is 2.99 + 0.02 = 3.01 liters

The 98% confidence interval estimate of the true average amount of soft drink in each bottle is between 2.97 liters and 3.01 liters.

7 0

2 years ago

Help a brudda out its easy work bruddas

vfiekz [6]

Answer:

Line 1 is y=-x-2

Line 2 is y= $-\frac{1}{5}x+2$

Slope of Line 1 is -1 Slope of Line 2 is - $\frac{1}{5}$

Y-intercept of Line 1 is -2 and Y-Intercept of Line 2 is 2

Following statements true: 1, 2, 4

Step-by-step explanation:

6 0

2 years ago

The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square

Kay [80]

Answer:

Plate Area = PI * radius^2

Plate Area = 3.14159 * 6 * 6

Plate Area = 113.09724 square inches

Plate Area = 113.1 square inches (rounded)

Step-by-step explanation:

7 0

2 years ago