How do you solve 10(3^x) = 810 ?

Answers

Answer 1
Answer: 3^x = 810/10
3^x = 81
Since 81 has a perfect fourth power of 3, which is 3*3*3*3 = 3^4 = 81
3^x = 3^4
You can easily remove the similar bases (which is 3) and bring down the exponent.
x = 4


Answer 2
Answer: - - To Start, Divide both sides by 10

(10(3^x))/(10)  = (810)/(10)

- - 
Solve For The Exponent:

3^(x) =81

- - Now use log to solve:

log(3x)=log(81)

x*(log(3))=log(81)

x= (log(81))/(log(3))

x=4

~Hope this helps 


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Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7)

Answers

\bf \textit{middle point of 2 points }\n \quad \n \begin{array}{lllll} &x_1&y_1&x_2&y_2\n % (a,b) H&({{ 2}}\quad ,&{{ 1}})\quad % (c,d) K&({{ 10}}\quad ,&{{ 7}}) \end{array}\qquad % coordinates of midpoint \left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)

you tell us

Answer:

Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(10, 7).

Step-by-step explanation:

Which expression is equivalent to 64 – 9x^2?A(32)^2 – (3x)^2
B(32)^2 + (-3x)2
C(8)^2 – (3x)^2
D(8)^2 + (-3x)^2

Answers

Answer:

Option C is correct

Step-by-step explanation:

A = 64 - 9x^2

   = 8^2 - (3^2)(x^2)

   = 8^2 - (3x)^2

Hope this helps!

Earl needs to fill juice-cups for his little brother's birthday party. There are 25 juice-cups and each juice-cup holds 12 fluid ounces. The juice comes in 1 gallon bottles. How many 1-gallon bottles of juice will Earl need to purchase?. . (1 quart = 32 fluid ounces, 1 gallon = 4 quarts). . A. 1 bottle . . B. 2 bottles . . C. 3 bottles . . D. 4 bottles

Answers

So base in your question their are 25 juice-cups which hold a volume of 12 fluid ounces of juices. The juice is purchased by gallons, so to be more exact they need 300 ounces of juice to supply for the 25 cup. by calculation the gallon of juice needed is 2.35 gallon and to be more precise and avoid shortage it should be 3 bottles and the answer is C. 

Given: 3x - 2 ≤ 2x + 1. Choose the solution set.

{x | x R, x ≤ -3}
{x | x R, x ≤ -1}
{x | x R, x ≤ 1}
{x | x R, x ≤ 3}

Answers

The solution set is Option D.

{x | x R, x ≤ 3}

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality relation be A

And the equation is 3x - 2 ≤ 2x + 1.

So , on simplifying the equation , we get

3x - 2 ≤ 2x + 1.

Subtracting 2x on both sides of the inequality equation , we get

x - 2 ≤ 1

Adding 2 on both sides of the inequality equation , we get

x ≤ 3

Therefore , the value of x satisfies all the numbers that are less than or equal to 3

Hence , The solution set is {x | x R, x ≤ 3}

To learn more about inequality equations click :

brainly.com/question/11897796

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Answer: D

Step-by-step explanation:

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?3
18
21
215

Answers

remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube

remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3

all of them should be perfect cubes

215x^18y^3z^21

split them up to see which ones need changing

215=5*43, not  a perfect cube
could be changed to 6^3, which is 216

x^18=(x^6)^3

y^3=y^3
z^21=(z^7)^3

the 215 needs to be changed
 

Answer: E2020 = 215

Step-by-step explanation:

a woman has $1.70 in dimes and nickels.She has 5 more dimes than nickles. How many nickles does she have

Answers

d=5+n
0.1(5+n)+0.05n=1.7
0.5+0.15n=1.7
0.15n=1.2
n=8
d=13
therefore 8 nickles and 13 dimes.