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2 years ago

How many 4-digit number are divisible by 7,8,10 and 25

Mathematics

1 answer:

saw5 [17]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.

LCM(7, 8, 10, 25) = 7×8×25 = 1400

There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...

1400, 2800, 4200, 5600, 7000, 8400, 9800

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cestrela7 [59]

We are given a scale that for every 1 in on the plan, the actual length will 6.5 ft.

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6.5*9.75=63.375 ft. That's the answer.

We can visualize this a different way

1 in = 6.5 ft

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And from here it's a little more clear to see what needs to be done.

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2 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

Find the mass of the triangular region with vertices (0, 0), (3, 0), and (0, 1), with density function ρ(x,y)=x2+y2.

ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region $\mathcal T$ by computing the double integral of the density function over $\mathcal T$ :

$\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy$

The boundary of $\mathcal T$ is determined by a set of lines in the $x,y$ plane. One way to describe the region $\mathcal T$ is by the set of points,

$\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}$

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$=\displaystyle\int_{x=0}^{x=3}\left(x^2\left(1-\frac x3\right)+\frac{\left(1-\frac x3\right)^3}3\right)\,\mathrm dx$

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2 years ago

The function P(x)=(x+3)^2+2 write a new function after a translation of 2 units up.

IrinaVladis [17]

Answer:

(x+3)^2+4 or x^2+6x+13

Step-by-step explanation:

The number in the parenthesis means the translation from the original left or right. The second number (outside of the parenthesis, in this case 2), is the translation from the original up or down. So, if the question were shift the graph of this function two units down, then the second number would decrease by 2. However, because the equation is shift the graph up 2 units, then you would add 2 to the second number. Same thing with the number inside of the parenthesis.

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2 years ago

How many 4-digit number are divisible by 7,8,10 and 25​

How many 4-digit number are divisible by 7,8,10 and 25