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3 years ago

Which is the correct way to write 602, 200,000,000,000,000,000,000 in scientific notation?

1 answer:

6 0

Scientific notation is
n times 10^x
where 1≤n<10 and x is the number of places the decimal place moved (if it moved to the right, x is negative, if it moved to the left, x is positive)

602, 200,000,000,000,000,000,000.0
we see we need to move decimal to the left 23 spaces to here
6.022 times 10^23

answer is $6.022*10^{23}$

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How would i find the length of g?

klasskru [66]

Answer:

$g=28.8\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle BDC

Find the value of j

Applying the Pythagorean Theorem

$j^2=5^2+12^2$

$j^2=169\\j=13\ units$

step 2

In the right triangle ABD

Applying the Pythagorean Theorem

$h^2=12^2+g^2$ ----> equation A

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

$(g+5)^2=h^2+13^2$ ----> equation B

step 4

Substitute equation A in equation B

$(g+5)^2=(12^2+g^2)+13^2$

solve for g

$g^2+10g+25=144+g^2+169\\10g=288\\g=28.8\ units$

4 0

3 years ago

This week Allison bought 108 bunches of carnations and 96 bunches of roses from the supplier. Let c represent the number of carn

gizmo_the_mogwai [7]

Answer:

coffecient expression or vertical?

Step-by-step explanation:

3 0

3 years ago

Katy invests a total of $26,500 in two accounts paying 4% and 9% annual interest, respectively. How much was invested in each ac

White raven [17]

A = amount invested at 4%.

b = amount invested at 9%.

we know the total amount invested was $26500, thus a + b = 26500.

whatever% of anything is just (whatever/100) * anything.

how much is 4% of a? well, is just (4/100) * a, or 0.04a.

how much is 9% of b? well, is just (9/100) * b, or 0.09b.

we know the interest yielded for both amounts adds up to $1510, thus 0.04a + 0.09b = 1510.

$\bf \begin{cases}
a+b=26500\implies \boxed{b}=26500-a\\
0.04a+0.09b=1510\\
----------------\\
0.04a+0.09\left( \boxed{26500-a} \right)=1510
\end{cases}
\\\\\\
0.04-0.09a+2385=1510\implies -0.05a=-875
\\\\\\
a=\cfrac{-875}{-0.05}\implies a=17500$

how much was invested at 9%? well, b = 26500 - a.

7 0

3 years ago

-3/7 × - 1 2/3<br>what is the answer

NNADVOKAT [17]

Answer:

$\boxed{\frac{5}{7} }$