3t + 4t - t + 5

Find the mean of the data in the bar chart below.

vladimir2022 [97]

Mean= (5+6+5+6+9)/5= 7.2 coins

Explanation: The mean is the average of a data set. Add the numbers from the data set and divide by how many numbers.

3 0

3 years ago

3.82e+7 in standard form explain

Rainbow [258]

" e+7 " means the same thing as " x 10⁷ ".

They both mean "move the decimal point 7 places that way ===> ."

So take the 3.82 and do that to it.

If there aren't enough places to move the decimal point far enough,
then add some zeros onto the end of the 3.82 before you move
the point.

3 0

4 years ago

Lorenzo has a checkbook balance of $118.00. He writes two checks, one for $9.00 and one for $84.25. He then deposits $95.00. Fin

natka813 [3]

Hey there!!
So lets do something I like to call "The Process of Elimination".

D is not correct because 118 -95 is not true! Lorenzo DEPOSITED 95.00 which means he added that amount to his balance and not took it away.

B is incorrect because there is no need to divide , here we are simply either taking away money from his current balance or ,we are adding.

C would be incorrect as well, because recall how i said that 95.00 dollars were "deposited" so he would add 95 , and not take it away.

That leaves us with A . Yay.....but wait, not so fast!
Lets double check shall we?

so he had 118,correct? he wrote a check for 9 dollars and 84.25. Keep in mind, that when someone writes a check, there taking money away from there account, which means subtract 9 and 84.25 from 118.
And then , lets not forget that 95 he deposited.
Deposit means add.

So yes! A is the correct answer!

Hope my explanation helped :)

4 0

4 years ago

Read 2 more answers

Use the Green's Theorem to calculate the work done by the field [ F (x, y) = -3y^5 i + 5y^2x^3 j ] to move a particle along the

lianna [129]

$\displaystyle\int_C\mathbf F\cdot\mathrm d\mathbf r=\iint_R\left(\frac{\partial(5y^2x^3)}{\partial x}-\frac{\partial(-3y^5)}{\partial y}\right)\,\mathrm dx\,\mathrm dy$

$\dfrac{\partial(5y^2x^3)}{\partial x}=15y^2x^2$
$\dfrac{\partial(-3y^5)}{\partial y}=-15y^2$

$=\displaystyle\int_{x=-2}^{x=2}\int_{y=-\sqrt{4-x^2}}^{y=\sqrt{4-x^2}}15y^2(x^2+1)\,\mathrm dy\,\mathrm dx$

Converting to polar coordinates, the integral is equivalent to

$=\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=2}15r^3\sin^2\theta(r^2\cos^2\theta+1)\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle15\int_0^{2\pi}\int_0^2\left(\frac{r^5}4\sin^22\theta+r^3\sin^2\theta\right)\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\frac{15}4\left(\int_0^2r^5\,\mathrm dr\right)\left(\int_0^{2\pi}\sin^22\theta\,\mathrm d\theta\right)+15\left(\int_0^2r^3\,\mathrm dr\right)\left(\int_0^{2\pi}\sin^2\theta\,\mathrm d\theta\right)$
$=100\pi$

6 0

3 years ago

Triangle XYZ is translated by the rule (x + 1, y â 1) and then dilated by a scale factor of 4 centered at the origin. Which stat

marysya [2.9K]

Answer: Y and Y'' are congruent after the translation, but not after the dilation.

Step-by-step explanation:

We know that we generally prefer rigid transformations if want to create congruent images.

There are three basic kinds of rigid transformations:

1) rotation 2) reflection 3) translation

So, they all create congruent images.

But a dilation does not create congruent images because it creates an image of similar same shape as the original but not the same size.

Given : Triangle XYZ is translated and then dilated by a scale factor of 4 centered at the origin.

Then, the correct option is "Y and Y'' are congruent after the translation, but not after the dilation."

5 0

3 years ago