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4 years ago

B. 300,000 + 50,000 + 1,000 + 800

Mathematics

1 answer:

ludmilkaskok [199]4 years ago

5 0

Answer:

3702780 for the first question

Step-by-step explanation:

Add all the zeroes then add the whole numbers

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Factor p 2 - 2p - 24. (p - 3)(p + 8) (p + 6)(p - 4) (p - 6)(p + 4)

puteri [66]

P^2-2p-24
p^2-6p+4p-24
p(p-6) +4(p-6)
(p+4)(p-6) is answer D

6 0

4 years ago

Read 2 more answers

In Exercises 5-8, find the perimeter and area of the polygon with the given vertices.

castortr0y [4]

Check the picture below.

as we can see in the picture, the lengths for YZ and ZX are very straight, let's get the side YX

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Y(\stackrel{x_1}{0}~,~\stackrel{y_1}{-2})\qquad X(\stackrel{x_2}{2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ YX=\sqrt{[2 - 0]^2 + [4 - (-2)]^2}\implies YX=\sqrt{2^2+(4+2)^2} \\\\\\ YX=\sqrt{4+6^2}\implies YX=\sqrt{40} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{2~~+~~6~~+~~\sqrt{40}~~\approx~~14.32} ~\hfill \stackrel{\textit{\Large Area}}{\cfrac{1}{2}(2)(6)\implies 6}$

4 0

3 years ago

How many pounds of iron are produced from 4,200 pounds of iron ore if the ratio of iron ore is 5/21

Ghella [55]

1,000. 4,200 / 21 = 200. 5 * 200 = 1,000

4 0

4 years ago

Find the inverse Laplace transform, f(t), of the function:<br><br> F(s) = 7/s^2 + 5s + 24

BARSIC [14]

Answer:

$y(t)=\frac{14}{\sqrt{71}}e^{-\frac{5}{2}t}sin\frac{\sqrt{71}}{2}t$

Step-by-step explanation:

We are given that a function

F(s)= $\frac{7}{s^2+5s+24}$

We have to find the inverse transform of the function

F(s)= $\frac{7}{s^2+2\cdot \frac{5}{2}s+\frac{25}{4}-\frac{25}{4}+24}$

F(s)= $\frac{7}{(s+\frac{5}{2})^2+(\frac{\sqrt{71}}{2})^2}$

We know that laplace transform of sinhat

L(sinat)= $\frac{a}{s^2+a^2}$

L $(e^{at}sinbt)=\frac{b}{(s-a)^2+b^2}$

Using this formula we get

$y(t)=\frac{7}{\frac{\sqrt{71}}{2}}\times e^{-\frac{5}{2}t}sin\frac{\sqrt{71}}{2}t$

$y(t)=\frac{14}{\sqrt{71}}e^{-\frac{5}{2}t}sin\frac{\sqrt{71}}{2}t$

8 0

3 years ago

Kenneths back yard is in a shape of a rectangleit's a length of 12 yards and a width of 10 yards. A bag of grass seed costs $25.

mestny [16]

The area of his backyard is 120 yards or 360 feet since one yard is 3 feet. unit rate is it would cost $0.06 to cover each foot in his backyard. since he has to cover 360 feet multiply .06 by 360 and get 21.60. so it costs $21.60 to cover that guys backyard with grass. ya welcome :)

4 0

3 years ago