If (8^9)p=8^18,what is the value of p? 20 points

Answers

Answer 1
Answer :

[tex]:\implies\sf\:(8^9)^p=8^{18}[/tex]

[tex]\dag\bf\:(a^m)^n=a^{mn}[/tex]

[tex]:\implies\sf8^{9p}=8^{18}[/tex]

[tex]\dag\bf\:18=9\times 2[/tex]

[tex]:\implies\sf\:8^{9p}=8^{9\times 2}[/tex]

[tex]\dag\bf\:a^x=a^y\:\longrightarrow\:x=y[/tex]

[tex]:\implies\sf\:9p=9\times 2[/tex]

[tex]:\implies\boxed{\bf{\red{p=2}}}[/tex]


Related Questions

which steps should be used to compare the fraction 2/9 and 5/6

Answers

Answer:

last one

Step-by-step explanation:

[tex]\frac{2}{9} *\frac{2}{2 }= \frac{4}{18}[/tex] [tex]\frac{5}{6} *\frac{3}{3} = \frac{15}{18}[/tex]

after multiplying the fractions by 2/2 and 3/3 we get a common denominator wich allows us to compare the fractions

Answer:

It is D

Step-by-step explanation:

Find the slope of the line that passes through the points (2, -5) and (7, 1) (find the answer to the last step)
Step 1: Choose (x1, y1)
X1= 2 y1= -5
Step 2: Identify (x2, y2)
X2= 7 y2= 1
Step 3: Apply the slope formula m= 1-(-5)/7-2.
m=____

Answers

Answer:

1-(-5)/7-2

5/5

1

y2=1

again

5+2

7

The slope of the line will be equal to 1.

What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The slope of the line will be calculated by using the formula below:-

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given points are:-

Choose (x1, y1)

X₁= 2 y₁= -5

Identify (x2, y2)

X₂= 7 y₂= 1

Apply the slope formula:-

m= ( y₂ - y₁ ) / ( x₂ - x₁ )

m= 1-(-5)/7-2.

m= ( 5 / 5 )

m = 1

Therefore, the slope of the line will be equal to 1.

To know more about slopes follow

brainly.com/question/3493733

#SPJ2

How many terms are in the expression 4a - 2b + 8 - 3a - 4b?
A.13
B.3
C.5
D.9

Answers

Answer:5 terms

Step-by-step explanation:

Hello!
The answer is C. Hope this helps

preston is going to spin a spinner 1200 times. if the spinner is divided into equal sections,about how many times will the spinner land on the white region?​

Answers

450

Step-by-step explanation:

The perimeter of a rectangle is 234 meters.
The rectangle is twice as long as it is wide.
What are its length and width?

Answers

I am going to show you how easy this is. Once you understand, you will be able to do this forever.

:

Assuming the side of the rectangle are (L) length and (W) width, the perimeter:

2L + 2W = 234

:

"the rectangle is twice as long as it is wide,", the equation for this statement:

L = 2W

:

In the first equation, we can replace L with 2W, then we have

2(2W) + 2W = 234

4W + 2W = 234

6W = 234

Divide both sides by 6

W = 234%2F6

W = 39 meters is the width

:

Remember it said the length is twice the width, therefore:

L = 2(39)

L = 78 meters is the length

:

:

Check this by finding the perimeter with these values

2(78) + 2(39) =

156 + 78 = 234

What expressions are equivalent to 3x+5x+8 and 4x+4x

Answers

It’s 8x+8.
=8x :))))))))

Help please
Options:
Given
Addition property of equality
Multiplication property of equality
Division property of equality
Write an equivalent expression( which means simplified)
Distributive property

Answers

Answer:

a: given

b: multiplication property of equality

c: distributive property

d: simplified

e: addition property of equality

f. division property of equality

Step-by-step explanation:

step a will always be given because it is starting equation. step b is multiplication property because everything is multiplied by two so you don't have to deal with decimals. step c is distributive because you distribute the -5s in the parentheses. step d is simplified because they combined like terms and nothing changed sides. step e is addition property because you added 5x to both sides. step f is division property because -7 is divided from each side.

Find the unit rate of the equation.
Y= -2x

Answers

It should be x-2y because you have tooooooooooooooooooooooooo

4(5n -7) =10+2 i need step by step explanation i dont get it

Answers

Answer:

n=2

Step-by-step explanation:

4(5n-7)=10+2

1) First, distribute (multiply out 4)

20n-28=10+2

2) Combine like terms (add 10 and 2)

20n-28=12

3) Isolate the variable (Add 28 to 12)

20n=40

4) Isolate the variable (Divide by 20)

n=2

Solve for x the triangles are similar

Answers

Answer:

x = 13

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{DC}{DU}[/tex] = [tex]\frac{CB}{UT}[/tex] , substitute values

[tex]\frac{11x-13}{60}[/tex] = [tex]\frac{169}{78}[/tex] ( cross- multiply )

78(11x - 13) = 10140 ( divide both sides by 78 )

11x - 13 = 130 ( add 13 to both sides )

11x = 143 ( divide both sides by 11 )

x = 13

14a = 11 find a needs to be simplified

Answers

Answer:

a = 11/14

Step-by-step explanation:

14a  / 14 == 11 / 14

a = 11 / 14

a = 11/14

Hope this Helped

Brainliest is appreciated.

Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The cost of the table is $16 per square foot. How much will it cost Ronnie to buy the computer table for his study room?

Answers

Answer:

Pongamos los datos

supongamos que la sala costo x

si la sala costo x, el comedor costo el doble, osea 2x

luego dice que la sala costo el triple de la mesa, si la sala costo x, la mesa costo x/3

ahora reemplazamos: dice que todo costo 35000

x + 2x + x/3 = 35000

3x/3 + 6x/3 + x/3 = 35000

10x/3 = 35000

10x= 105000

x = 10500

reemplazamos todos los datos

la sala costo x, entonces la sala costo 10500

el comedor costo 2x, entonces 2(10500) = 21000

la mesa costo x/3, entonces 10500/3 = 3500

Step-by-step explanation:

What is the y-intercept of the line - 2x - 5y = 20?​

Answers

The y-intercept is [tex]y=\frac{2}{5} x-4[/tex]

If ax^3+bx^2+ cx+d is divided by (x - 2), the coefficients of quotient are 2,-1, 3 and the remainder
is 4. then the polynomial is
a) 21 +5x² +5.1-2
b) 21 - 5x² + 5x-2
c) 2r-5x² + 5x+2
d) 2x + 5x + 5x+2



Please say the Answer

Answers

Step-by-step explanation:

Polynomial = (2x² - x + 3)(x - 2) + 4 = 2x³ - 5x² + 5x - 2. (B)

What is the value of x in the equation: 3 (4x - 1) - 3x = - (x + 2)?
Give your final answer in Decimal form.

Answers

Solution:

[tex]-0.5[/tex]

Steps:

[tex](4x - 1) - 3x = - (x + 2)[/tex]

Start with the left side and combine like terms

[tex]4x-1-3x=-(x+2)\\[/tex]

Combine [tex]4x[/tex] and [tex]-3x[/tex]. After doing this, you would have [tex]x[/tex] because 4-3 = 1

[tex]x-1 =-(x+2)[/tex]

Then, you can distribute the negative on the right side

[tex]-(x+2) = -(x)+-(2) = -x-2[/tex]

You would end up with

[tex]x-1=-x-2[/tex]

Add x to each side.

[tex]2x-1=-2[/tex]

Add 1 to each side

[tex]2x=-1[/tex]

Divide each side by 2 to simplify.

[tex]x=-1/2\\x = -0.5[/tex]

Tommy, Ali, and Jack each have a band. Tommy’s band has won three less awards then Ali. Jacks band has won twice as many bands as Tommy. They have a total of 23 awards. Find the number of awards each persons’ band has won.

Answers

Answer:

Tommy's band won 5 awards, Ali's band won 8 awards and Jack's band won 10 awards.

Step-by-step explanation:

Let the number of awards Tommy won be x.

Number of awards Ali won -> x+3

Number of awards Jack won -> 2x

[tex]x+x+3+2x=23[/tex]

[tex]4x+3=23[/tex]

Subtract 3 from both sides:

[tex]4x+3-3=23-3[/tex]

[tex]4x=20[/tex]

Divide both sides by 4:

[tex]\frac{4x}{4}=\frac{20}{4}[/tex]

[tex]x=5[/tex] (Tommy)

[tex]5+3=8[/tex] (Ali)

[tex]5\times2=10[/tex] (Jack)

Answer: Tommy won 5 awards. Ali won 8 awards. Jack won 10 awards.

Step-by-step explanation:

First give each person a variable:

Tommy = y

Ali = a

Jack = x

Then figure out the equations:

Tommy won 3 less awards than Ali, so the equation would be (y = a - 3).

Jack won twice as many awards as Tommy, so the equation would be (x = 2y)

All three won a total of 23, so that would be (23 = y + x + a)

Next, plug in (2y) into the (x) of (23 = y + x + a)

This would result in (23 = 3y + a)

Then you would plug in (a - 3) into (y)

This would result in (23 = 4a - 9)

Solve for a: (a = 8)

Now that you know (a = 8), plug that into the first equation (y = a - 3) to find (y).

Answer: (y = 5)

Use (y = 5) and plug it into the second equation (x = 2y) to find (x)

Answer: (x = 10)

Answers:

a = 8

y = 5

x = 10

Calculate the distance between (5, 3) and (-1, 6). Round your answer to the nearest tenth if necessary. (One place after the decimal)

Answers

Answer:

[tex] {xy}^{2} = {6}^{2} + {3}^{2} =45 \\ xy = \sqrt{45} = 6.71[/tex]

sorry but I am not sure if this is right :(

Find the exact length of the third side.
60
45


Answers

C= 75
Hope this helpsssss

(14x + 30)
z
(5x + 66)

Answers

Z is equaled to three

How do you write 27 in standard form?
Please can you give more different examples and explanation detail so I will understand.​Please guys help...​

Answers

Answer:

Cardinal: twenty seven

Ordinal: twenty seventh

Step-by-step explanation:

hope this helps!!!!!!

Answer:

2.7×10

Step-by-step explanation:

Basically the number 27 has to be in between the numbers 0 and 10.

So to do that you have to divide 27 by 10 until it is between 0 and 10 which is then 2. 7,

And to get the 10 you have to count how many times you had to divide 27 by 10 to get which is 1 so you leave it as ten so the answer you get is

2.7 x 10

HOPE THIS HELPS.

if you are still stuck just let me now and I will help you :)

8-8(1+3x) = 23-x show all work!

Answers

Answer:

x=−1

Step-by-step explanation:

I hope this help helps

Answer:

8-8(1+3x)=23-x

8-8-24x=23-x

-24x=23-x

-23=-x+24

-23=23x. (÷b.s by 23)

x= -1

IMPORTANT PLEASE I NEED NOW:Find the area of each face of the cube whose volume is 729 cm

Answers

Answer:

81

Step-by-step explanation:

square root of 729= 9

9×9=81

Answer:

Step-by-step explanation:

Formula of Volume= [tex]a^{3}[/tex] - a = side

Therefore since the volume is given you just need to find the side.

729=[tex]a^{3}[/tex] = [tex]\sqrt[3]{729}[/tex] = a

            = 9 = a

Now you know that 9 is the side, so using that find the area of one face-

Area of a square= 9 x 9 = 81[tex]cm^{2}[/tex]

8=8p+13−3p please help ​

Answers

Answer:

-1=p

Step-by-step explanation:

8=8p+13-3p

8-13=8p-3p

-5=5p

-5÷5=5p÷5

-1=p

in a class of 32 students the mean height of the 14 boys is 1.56 metres the mean height of the 32 students is 1.515 metres work out the mean height of the girls show your working out

Answers

Answer:

1.515 = 14* 1.56 + 18*x/(32)

0r, 18x= 1.515*32 - 14*1.56

or, 18x= 26.64

x= 1.48

Step-by-step explanation:

Answer:

mean height of girls = 1.48 m

Step-by-step explanation:

Find the sum height of 32 students.

Sum of the height of 32 students = 32 * mean of 32 students

                                                   = 32 * 1.515

                                                   = 48.48 m

Sum of the height of 14 boys = 14 * mean of 14 boys

                                           = 14 * 1.56

                                           = 21.84

Number of girls = 32 - 14 = 18

Sum of the height of 18 girls =  48.48 - 21.84 = 26.64 m

Average of the height of 18 girls = 26.64 ÷ 18

                                                      = 1.48 m

5x-5<5(x-4) true, never true, or sometimes true?

Answers

Answer: never true

Step-by-step explanation:

NO SPACES AND NO DECIMALS
Happy Paws charges
$20.00 plus $4.00 per hour
to keep a dog during the day. Woof Watchers charges
$9.00 plus $5.00 per hour.
Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable x to represent the
number of hours.

Answers

Answer:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

x = 11 hours

Step-by-step explanation:

Let

Number of hours = x

Total cost = y

Total cost = fixed cost + variable cost

The equations are:

Happy paws

y = 20 + 4x

Woof watchers

y = 9 + 5x

solve the equation to find for how many hours the total cost of the services is equal.

Equate total cost of both services

20 + 4x = 9 + 5x

Collect like terms

20 - 9 = 5x - 4x

11 = x

x = 11 hours

Check:

Happy paws

y = 20 + 4x

= 20 + 4(11)

= 20 + 44

= 64

Woof watchers

y = 9 + 5x

= 9 + 5(11)

= 9 + 55

= 64

The average of the degree
measures of all angles of an
octagon is less than the average of the degree measures of all angles
of the decagon by:
A. 15 degrees
B. 12 degrees
C. 11 degrees
D. 9 degrees

Answers

The answer is C.
Octagon is 135
And decagon is 144
So 144-135=11

Investigate the range of each parent function below over the interval o ranges from least to greatest.
Identity function, reciprocal function, quadratic function, cubic function, square root function

Answers

Answer:

Here we have the domain:

D = 0 < x < 1

And we want to find the range in that domain for:

1) y = f(x) = x

First, if the function is only increasing in the domain (like in this case) the minimum value in the range will match with the minimum in the domain (and the same for the maximums)

f(0) = 0 is the minimum in the range.

f(1) = 1 is the maximum in the range.

The range is:

0 < y < 1.

2) y = f(x) = 1/x.

In this case the function is strictly decreasing in the domain, then the minimum in the domain coincides with the maximum in the range, and the maximum in the domain coincides with the minimum in the range.

f(0) = 1/0 ---> ∞

f(1) = 1/1

Then the range is:

1 < x.

Notice that we do not have an upper bound.

3) y = f(x) = x^2

This function is strictly increasing, then:

f(0) = 0^2 = 0

f(1) = 1^2 = 1

the range is:

0 < y < 1

4) y = f(x) = x^3

This function is strictly increasing in the interval, then:

f(0) = 0^3 = 0

f(1) = 1^3 = 1

the range is:

0 < y < 1.

5) y = f(x) = √x

This function is well defined in the positive reals, and is strictly increasing in our domain, then:

f(0) = √0 = 0

f(1) = √1 =1

The range is:

0 < y < 1

Slope intercept form of an equation of the line with slope 3 and passes through the points (-1,-2)

Answers

Answer:

Step-by-step explanation:

y + 2 = 3(x + 1)

y + 2 = 3x + 3

y = 3x + 1

Charlie had a -$38.00 balance in his checking account. He deposited $126.00 into the account. What is his new balance?

Answers

Answer:

$88

Step-by-step explanation:

-38+126=$88

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