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Angelina_Jolie [31]
3 years ago
8

6,780,000 in scientific notation

Mathematics
2 answers:
REY [17]3 years ago
8 0

Answer:

6.78 x 10 ^ either -6 or positive 6

Step-by-step explanation:

move the decimal to make it a number between 1 and 10

klio [65]3 years ago
6 0

Answer:

105 = 100,000 x 6.78 = 678,000

Step-by-step explanation:

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What is 1/4 (5y-3)+1/16 (12y+17
netineya [11]

What is the question? If you are only trying to expand the expression then the answer would be:

1/4 (5y-3)+ 1/16 (12y+17)

(5y/4) – (3/4) + (12y/16) + (17/16)

1.25y – 0.75 + 0.75y + 1.0625

2y + 0.3125

 

If you are trying to find for y, then you forgot to equate it to 0, that is:

2y + 0.3125 = 0

2y = -0.3125

<span>y = 0.15625</span>

6 0
3 years ago
Remember to show work and explain. Use the math font.
MrMuchimi

Answer:

\large\boxed{1.\ f^{-1}(x)=4\log(x\sqrt[4]2)}\\\\\boxed{2.\ f^{-1}(x)=\log(x^5+5)}\\\\\boxed{3.\ f^{-1}(x)=\sqrt{4^{x-1}}}

Step-by-step explanation:

\log_ab=c\iff a^c=b\\\\n\log_ab=\log_ab^n\\\\a^{\log_ab}=b\\\\\log_aa^n=n\\\\\log_{10}a=\log a\\=============================

1.\\y=\left(\dfrac{5^x}{2}\right)^\frac{1}{4}\\\\\text{Exchange x and y. Solve for y:}\\\\\left(\dfrac{5^y}{2}\right)^\frac{1}{4}=x\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\\dfrac{(5^y)^\frac{1}{4}}{2^\frac{1}{4}}=x\qquad\text{multiply both sides by }\ 2^\frac{1}{4}\\\\\left(5^y\right)^\frac{1}{4}=2^\frac{1}{4}x\qquad\text{use}\ (a^n)^m=a^{nm}\\\\5^{\frac{1}{4}y}=2^\frac{1}{4}x\qquad\log_5\ \text{of both sides}

\log_55^{\frac{1}{4}y}=\log_5\left(2^\frac{1}{4}x\right)\qquad\text{use}\ a^\frac{1}{n}=\sqrt[n]{a}\\\\\dfrac{1}{4}y=\log(x\sqrt[4]2)\qquad\text{multiply both sides by 4}\\\\y=4\log(x\sqrt[4]2)

--------------------------\\2.\\y=(10^x-5)^\frac{1}{5}\\\\\text{Exchange x and y. Solve for y:}\\\\(10^y-5)^\frac{1}{5}=x\qquad\text{5 power of both sides}\\\\\bigg[(10^y-5)^\frac{1}{5}\bigg]^5=x^5\qquad\text{use}\ (a^n)^m=a^{nm}\\\\(10^y-5)^{\frac{1}{5}\cdot5}=x^5\\\\10^y-5=x^5\qquad\text{add 5 to both sides}\\\\10^y=x^5+5\qquad\log\ \text{of both sides}\\\\\log10^y=\log(x^5+5)\Rightarrow y=\log(x^5+5)

--------------------------\\3.\\y=\log_4(4x^2)\\\\\text{Exchange x and y. Solve for y:}\\\\\log_4(4y^2)=x\Rightarrow4^{\log_4(4y^2)}=4^x\\\\4y^2=4^x\qquad\text{divide both sides by 4}\\\\y^2=\dfrac{4^x}{4}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\y^2=4^{x-1}\Rightarrow y=\sqrt{4^{x-1}}

6 0
3 years ago
Using the exponential growth function for the U. S. population from 1970 through 2003:
jeka94

Answer:

Step-by-step explanation:

Using the exponential growth function for the U. S. population from 1970 through 2003:

A = 205.1e^0.011t

with the U.S. population being 205.1 million in 1970, when would the U. S. population reach 350 million?

A.

2028

B.

2048

C.

2018

D.

2038

We have the expression

A = 205.1e^0.011t

We are asked to find when would the U. S. population reach 350 million

A = 350

350 = 205.1e^0.011t

We divide both sides by 205.1

Divide both sides by 205.1

350/205.1 = 205.1e^0.011t/205.1

1.7064846416 = e^0.011t

We take the log of both sides

log 1.7064846416 = log e^0.011t

log 1.7064846416 = t log 0.011

t = log 1.7064846416/ log 0.011

t = 0.1185057826

7 0
3 years ago
Mrs. Jones was very proud of her apple tree. One autumn, after harvesting her apples, she called her three sons together. “Here
Vesna [10]
I think that the first person who came along to buy apples would have to buy 12 dozen apples at $1 per dozen. Paul’s sells one dozen, Nick sells 4 dozen, and Ben sells seven dozen. After that, Paul has 3 apples, Nick has 2, and Ben has 1. If they all sent their remaining apples at a price of $3, Paul would earn 9 more dollars, Nick would earn 6, and Ben would earn three. That puts them each with a profit of $10.
7 0
3 years ago
On a 50-question test, a student answered 5 questions incorrectly. What percent did the student answer correctly? A. 45% B. 90%
nadya68 [22]
Hey there,

Pretend that 50 = 100

And that 5 = 10.

I did a 100 test unit test, and I got 10% wrong.

If you think about this, the answer would be 90%

So, it's the same in this case,

50 in half of 100

5 is half of 10.

So . . .

This would mean that your correct answer would be 90% because 5 in this case is to be considered to be 10.

Your correct answer is  . . . . 

\boxed{\boxed{90 \ would \ be \ your \ correct \ answer }}

Hope this helps
~Jurgen
7 0
3 years ago
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