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2 years ago

Find (6×10−5)×(4×109). Write your answer in scientific notation. (6×10−5)×(4×109)=

Mathematics

1 answer:

Travka [436]2 years ago

8 0

Answer:

2.398 x 10^-4

Step-by-step explanation:

hope this helps

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Solve the system by substitution.<br> -2y - 10 = x<br> - 10x - y = -14

masya89 [10]

Answer:

x=2 and y=−6

sorry this is pretty long, I did not know if you needed the steps or not

Step-by-step explanation:

−2y−10=x;−10x−y=−14

Solve−2y−10=x for x

−2y−10=x

−2y−10+−x=x+−x

−x−2y−10=0

−x−2y−10+2y=0+2y

−x−10=2y

−x−10+10=2y+10

−x=2y+10

-x/-1=2y+10/-1

x=−2y−10

Substitute−2y−10 for x in−10x−y=−14

−10x−y=−14

−10(−2y−10)−y=−14

19y+100=−14

19y+100+−100=−14+−100

19y=−114

19y/19=-114/19

y=-6

Substitute−6 for y in x=−2y−10

x=−2y−10

x=(−2)(−6)−10

x= 2

x=2 and y=−6

6 0

2 years ago

create a perfect square trinomial that can be factored using special patterns. Factor the trinomial and show all work for full c

Lyrx [107]

Answer: $4x^2+12x+9$

Step-by-step explanation:

A perfect square trinomial is written as $ax^2+bx+c$ , where

first term $ax^2$ = square of first term of binomial

second term= $bx$ =twice the product of both terms of binomial.

and third term 'c'=square of last term of binomial

Thus to create a perfect square trinomial put 'a' and 'c' a square number

Let a=4 and c=9

The required trinomial will be

$4x^2+12x+9$

$=(2x)^2+2(2x)(3)+3^2\\=(2x+3)^2.......\text{[using pattern}(a+b)^2=a^2+2ab+b^2]\\=(2x+3)(2x+3)$

3 0

2 years ago

Read 2 more answers

Tom throws a ball into the air. The ball travels on a parabolic path represented by the equation , where represents the height o

tigry1 [53]

Answer:

2.5 second

Step-by-step explanation:

The equation is missing in the question.

The equation is, $h=-8t^2+40t$ , where 'h' is the height and 't' is time measured in second.

Now we know to reach its maximum height, h in t seconds, the derivative of h with respect to time t is given by :

$\frac{dh}{dt} =0$

Now the differentiating the equation with respect to time t, we get

$\frac{dh}{dt}=\frac{d}{dt}(-8t^2+40t)$

$\frac{dh}{dt}=-16t+40$

For maximum height, $\frac{dh}{dt} =0$

So, $-16t+40=0$

$\Rightarrow 16t=40$

$\Rightarrow t=\frac{40}{16}$

$\Rightarrrow t = 2.5$

Therefore, the ball takes 2.5 seconds time to reach the maximum height.

7 0

2 years ago

Which best describes the angles of some parallelograms?

Vinil7 [7]

The answer is C. 4 obtuse angles could not make a 4 sided figure such as a parrallelogram. 4 acute angles is not possible for creating parallelograms either.

7 0

2 years ago

What is the volume of a sphere with radius of 16 inches?

matrenka [14]

Volume =
$\frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {16}^{3} \\ = 17148.59 \ {in}^{3}$

The answer is the first option.

Hope this helps. - M

8 0

2 years ago

Read 2 more answers