Solve the equation 32^× . 25^× = 15^× + ^2 without using calculator.​

Solve The Equation 32^ . 25^ = 15^ + ^2 Without Using Calculator.

Answers

Answer 1

Step-by-step explanation:

[tex] \frac{( {32}^{x} \times {25}^{x})} { {15}^{x} } = {15}^{2} [/tex]

When you multiply two variables or numbers or with different bases but with the same exponent, you can simply multiply the bases and use the same exponent. For example:

x^a*y^a= (xy)^a

[tex] { (\frac{32 \times 25}{15} })^{x} = {15}^{2} [/tex]

[tex] { (\frac{32 \times 5}{3} })^{x} = {15}^{2} [/tex]

[tex] { (\frac{160}{3} })^{x} = 225[/tex]

x= log (225) ÷ log ( 160/3)


Related Questions

Which fraction is equal to 0.45 REPEATING?
A.5/11
B.41/99
C.41/90
D.41/9

Answers

Answer:

A is the answer to your problem

It would be A . 5/11

I need help with this one problem please.

Answers

Answer:

= 0,5

Step-by-step explanation:

Start at 0 then move 5 places to right.

Answer should be (0,5)


2.
In Buffalo, New York, the temperature was -14°F in the morning. If the
temperature dropped 7°F, what is the temperature now?

Answers

-7 degrees is the answer

PLEASE HELP ME!!!
Find the missing values of x and Y from the following equal ordered pairs.
a) (2x + y, 2) = (1, x - y)
b) (x+2y,3)=(-1,2x-y)​

Answers

Answer:

[tex]1)(2x + y \: \: \: 2) = (1 \: \: x - y) \\ so \: compare \: 2x + y = 1...(1) \\ 2 = x - y....(2) \\ 2x + y = 1...(1) \\ x - y = 2....(2) \\ (1) + (2) \\ 3x + 0y = 3 \\ x = \frac{3}{3} = 1 ....(3)\\ \\ put \: (3)in \: (1) \\ 2 \times 1 + y = 1 \\ y = 1 - 2 \\ y = - 1 \\ here \: x = 1 \\ y = - 1 \\ 2)(x + 2y \: \: \: 3) \: and \: ( - 1 \: \: \: 2x - y) \\ here \: x + 2y = - 1...(1) \\ 2x - y = 3...(2) \\ (2) \times 2 = > 4x - 2y = 6...(3) \\ x + 2y = - 1....(1) \\ (1) + (3) \\ 5x + 0y = 5 \\ x = \frac{5}{5} = 1....(3) \\ put \: (3) \: in \: (1) \\ 1 + 2y = - 1 \\ 2y = - 2 \\ y = \frac{ - 2}{2} = - 1 \\ here \: x = 1 \\ and \: \\ y = - 1 \\ thank \: you[/tex]

Answer:

a) (1, -1)b) (1, -1)

Step-by-step explanation:

a)

Compare the coordinates:

2x + y = 1x - y = 2

Add up the equations to eliminate y:

2x + y + x - y = 1 + 23x = 3 x = 1

Find y:

y = 1 - 2 = -1

b)

Compare the coordinates:

x + 2y = -12x - y = 3

Double the second equation and add to the first one:

x + 2y + 4x - 2y = -1 + 65x = 5x = 1

Find y:

y = 2*1 - 3y = -1

Why is it important to reduce radicals

Answers

Simplifying radical expressions expression is important before addition or subtraction because it you need to which like terms can be added or subtracted. If we hadn't simplified the radical expressions, we would not have come to this solution. In a way, this is similar to what would be done for polynomial expression.

Simplify the expression

Answers

Answer; (-1024).(-16384) = 16777216

Answer:

[tex] {( - 4)}^{5} \times {( - 4)}^{7} \\ = {( - 4)}^{5 + 7} \\ = {( - 4)}^{12} \\ = 16777216 \\ thank \: you[/tex]

which of the following rational functions is graphed below?

Answers

Answer:

B

Step-by-step explanation:

I did this already lol

9-3 divided by 1/3+1

Answers

Answer:

1

Step-by-step explanation:

Answer:

i believe the answer is 1

Step-by-step explanation:

3=v+19 solving one-step equations​

Answers

Answer:

V=-16

Step-by-step explanation:

3=v+19

3-19=v

-16=v

are the ratios 1:3 and 2:4 equivalent

Answers

Answer: no 1:3 and 2:4 are not equivalent because they dont share a common factor

What is the solution of 10 = 15x ?

Answers

hi <3

15x = 10

divide both sides by 15

x = 0.66666

hope this helps :)

Answer:

15x = 10

x = 0.667

Step-by-step explanation:

mark me as brainliest ❤️

If you give me the right answer the points are yours

Answers

Answer:

-5+2

-3

Step-by-step explanation:

We start with -5 then add 2

-5+2 = -3

Step-by-step explanation:

Expression = -5 + 2

Sum = -5 + 2 = 3

PLEASE HELP!! Re-write the equation 3 x minus y = 4 in slope-intercept form.
a.
y = 3 x minus 4
c.
y = negative 3 x minus 4
b.
y = 3 x + 4
d.
y = negative 3 x + 4



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

A) [tex]y = 3x - 4[/tex]

Explanation:

Slope-intercept form is y = mx + b

Answer:

The answer is A. y=3x-4

Slope intercept form formula:
y=mx+b

Can someone please help me with this question

Answers

Step-by-step explanation:

Just Subtract the solutions by the given numbers

Like

8-5=3 Answer 1

7-7=0 Answer 2

1-6= -5 Answer 3

hope it helps

if jill had 4 and 1/4 of a cup and she drank 3/5 of it how much did she have left?

Answers

Answer:

She had 3.65 or 3 and 13/20

Step-by-step explanation:

4 and 1/4 of a cup in decimal form is 4.25. we know that 3/5 is .60  .Just do 4.25 minus .60

Which of the following is most likely the next step in the series?
O A.
O B.
О C.
O D.

Answers

C? Is my guess, if your following the pattern.

Carbon C diamond is one form of carbon; the other is graphite.

The correct option is A.

What is chemical formula ?

A chemical equation is a phrase that enumerates a compound's component elements and their respective weights. If there is just single atom of a particular sort, no subscript is necessary. If an atom contains three or more of a specific type of atom, a subscript is appended to a symbol for that atom.

here, we have,

Briefing:

Both graphite and diamond are carbon allotropes. Although graphene and fullerenes are among the rarer unusual allotropes of carbon, they do exist. An enormous three-dimensional network of carbon atoms makes up a diamond.

we know that is the importance of chemical formula :

Chemical equations provide details about the chemical composition of a compound. They also represent the proportions in which the compound's individual components come together to create the compound. The chemical formula of a compound is crucial when describing it in a chemical equation.

To know more about Chemical formula visit:

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Brent stopped 80% of the 50 shots the forwards took on net. How many shots
did he stop?

Answers

Answer:

40 shots

Step-by-step explanation:

if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C​ (ii)A-B+C (iii)A+B-C​

Answers

Answer:

I)

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Step-by-step explanation:

We are given the three equations:

[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]

I)

We want to find:

[tex]\displaystyle A + B + C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

We want to find:

[tex]\displaystyle A - B + C[/tex]

Likewise, substitute:

[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]

And combine like terms. Hence:

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

We want to find:

[tex]\displaystyle A + B - C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Hope it helped.........

A dealer mixes 120 liters of milk containing 5% water with 80 liters of milk containing 10 % water. the percentage of water in the mixture is??

Answers

9514 1404 393

Answer:

  7%

Step-by-step explanation:

Let x represent the percentage of water in the mix. The amount of water in the mix is ...

  5%·120 +10%·80 = x·(120 +80)

  14/200 = x = 7% . . . . . . . . . . . . . . simplify, divide by 200

The percentage of water in the mixture is 7%.

How to solve 1.025x = 11.55

Answers

Let's find the value of x,

→ 1.025x = 11.55

→ x = 11.55/1.025

→ x = 11.2682926829

→ [x = 11.27]

So, 11.27 is the solution.

simplify the expression 4b-24+19

Answers

4b - 24 + 19 = 4b - (-24 + 19) = 4b - 5

The simplified expression becomes: 4b - 5

Here, we have,

To simplify the expression 4b - 24 + 19,

we can combine the like terms.

The like terms in the expression are the terms without a variable (constant terms) and the terms with the same variable raised to the same power.

Let's simplify step by step:

First, combine the constant terms -24 and 19:

-24 + 19 = -5

Now, the simplified expression becomes:

4b - 5

To learn more on Expression click:

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The "A" or the "C"? plz

Answers

Answer:

A: 4

Step-by-step explanation:

The rise is 4

You can see that by noticing points (-1,-1) and (0,3)

The distance between the y values, -1 and 3 is 4 units

The run is 1

As it rises four units, it runs 1 unit

The difference between 0 and -1 is 1

Slope is calculated by rise/run

4/1 = 4 so the slope is 4

If my answer is incorrect, pls correct me!

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-Chetan K

A4 should be the correct answer

WILL MARK BRAINLY IF CORRECT
Solve the absolute value equation, |x| − 2 = 5.

A. x = 3 and x = −3
B. x = 7 and x = −7
C. x = −7 and x = 3
D. x = −3 and x = 7

Answers

B ,when it’s absolute the -7 becomes positive 7. You can also use photo math for that equation.

Answer:D

Step-by-step explanation:

1) The product of two rational numbers is 15/56. If one of the numbers is −5/48 ,find the other .

Answers

Answer:

[tex]unknown \: = x \\ then \: x \times \frac{ - 5}{48} = \frac{15}{56} \\ x = \frac{15}{56} \times \frac{ - 48}{5} \\ x = \frac{ - 720}{280} = \frac{18}{7} \\ thank \: you[/tex]

If Σfx = 60+45a and Σf = 12+9a , find the mean.

Answers

Step-by-step explanation:

Σfx = 60+45a

Σf = 12+9a

Now

Mean =Σfx/Σf

= 60+45a/12+9a

=105/21 (a has been canceled)

=5

Therefore mean =5

Solve for x and show work I will mark brainlyest


3(x-2) + 7 = 2(x+5)

Answers

Answer:

Step-by-step explanation: please do mark as brainliest

Find the equation of the line with x-intercept 4 and y-intercept -1 in slope-intercept
form.

Answers

Answer:

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-coordinate of the y-intercept, so we can already conclude that b=-1.

This results in y = mx - 1

We also have the x-intercept, and we know that the y-coordinate of an x-intercept is always 0. This means that we have the point (4,0). Substitute this into the formula to generate m:

0 = 4m - 1

4m = 1

m = 1/4

thus y = [tex]\frac{1}{4}[/tex]x - 1

Find the sum
3/4 + 1/2=

Answers

Answer: 3/4+1/2= 1¼

Step-by-step explanation:

1/2= 2/4 3/4+2/4=1¼

a group of 3 teachers sell homecoming t- shirts. They sell 58 t- shirts for 12.50 each. If they split the amount of money evenly, how much did each teacher make?

Answers

Answer:

About $241.66

Step-by-step explanation:

Because the teachers sold 58 t-shirts for $12.50 each, multiply the amount of shirts sold by the price of each shirt to get the total amount of money that they made.

58 × 12.50 = 725

To find how much each teacher made, divide the total price by the number of teachers.

725 ÷ 3 = 241.66

Each teacher made about $241.66.

Help me out pls n thanks!!

Answers

Answer:

[tex]m^4\\[/tex]

Step-by-step explanation:

M times itself 4 times is denoted by [tex]m^4[/tex]

Answer:

m⁴

Step-by-step explanation:

m*m*m*m = m⁴, as you're multiplying it 4 times

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