Answers
Answer:
D) [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex]
Step-by-step explanation:
You have to use the laws of exponents to solve this:
Power of a Power: [tex](a^{m} )^{n} = a^{mn}[/tex]. In this case, [tex](4g^{3} h^{2} k^{4} )^{3}[/tex], all of the numbers in the parenthesis need to be multiplied to the power of 3: [tex]4^{3} g^{9} h^{6} k^{12}[/tex].
Quotient of Powers: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this case, [tex]\frac{4^{3} g^{9} h^{6} k^{12}}{8g^{3} h^{2} }[/tex], all of the exponents need to be subtracted (but the 4³ (64) and 8 need to be divided): [tex]8g^{6} h^{4} k^{12}[/tex].
Use the Power of a Power again for the expression at the right: [tex](h^{5} k^{3} )^{5}[/tex]. You get: [tex]h^{25} k^{15}[/tex]. Keep the subtraction/negative sign where it is.
Together, you get: [tex]8g^{6} h^{4} k^{12} -h^{25}k^{15}[/tex].
Hope it helps!
Related Questions
Solve the inequality by stating the solution and graphing it.
3 – 5x < -4x + 9
Answers
Answer:
x>-6
graphing (-6,0)
Step-by-step explanation:
3-5x<-4x+9-- Add 5x to -4x
3<x+9--- subtract 9 from both sides
-6<x
The sum of two numbers is 30 and their difference is 4. Find the numbers
Answers
Answer:
17 and 13
Step-by-step explanation:
So you can set up an equation:
let x be the greater number
this means that the smaller number would be 4 less than x, because their difference is 4, so x - 4.
The sum is 30, so x + (x - 4) = 30
Then, solve:
x + (x - 4) = 30
x + x - 4 = 30
combine like terms
2x - 4 = 30
add 4 to both sides
2x = 34
divide both sides by 2
x= 17
Now you know the greater number is 17. Since they have a difference of 4, you can do 17 - 4 = 13 to get the smaller number.
The numbers are 17 and 13
PLEASE HELP! GIVING POINTS :)!
Answers
Answer:
56 square feet
Step-by-step explanation:
If you take the problem and divide into two rectangles by drawing the line up from the bottom 4.
You end up with one rectangle that is
8x4
and a second thats
4x6.
The area is then calculated by taking the length and multiplying by the width of the first (8 x 4) and adding to the same process of the second (4x6)
Thus
32 + 24 = 56 square feet
Answer:
32 + 24 = 56 square feet
"-5 increased by one-half of a number is a
maximum of 3."
Answers
We can write the given statement as expression -
- 5 + (1/2)x = 3
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement -
"-5 increased by one-half of a number is a maximum of 3"
We can write it as an expression -
- 5 + (1/2)x = 3
Therefore, we can write the given statement as expression -
- 5 + (1/2)x = 3
To solve more questions on expression evaluation, visit the link below -
brainly.com/question/1041084
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Pleaseee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
(2, -12)
Step-by-step explanation:
Answer:
(2, -12)
Step-by-step explanation:
(x, y ) = (0, -8)
2 units right = +2 units to the x-coordinate
4 units down = -4 from the y-coordinate
(0+2, -8-4)
= (2, -12)
1) A craftsman makes 40 items in 8 hours. How many
hours will he take to make 75 items?
Answers
Answer:
15 hours
Step-by-step explanation:
40/8 = 75/x
40x = 600
x = 15
Answer:
About 15
Step-by-step explanation:
40 items/8 hours = 5 items per hour( his rate)
75 items/ 5 items per hour= 15 hours
At his rate it will take him about 15 hours to make 75 items
everything is above
Answers
Answer:
at week 5 the higth is 6.5
Step-by-step explanation:
1+4-6,2-7+6,4-8+2,6-3-7 highest to lowest
Answers
Answer:
-1 , 1 , -2 , - 4
in order its
1, -1 , -2 , -4
Step-by-step explanation:
Need help will give thanks and brainliest
Answers
Answer:
[tex]y=\frac{2}{3} x-1[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)
1) Find the slope of the line (m)
The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (3,1) and (6,3)
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]
Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:
[tex]y=\frac{2}{3} x+b[/tex]
2) Find the y-intercept of the line
To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):
[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]
Subtract both sides by 2 to isolate b
[tex]1-2=2+b-2\\-1=b[/tex]
3) Plug m and b into y=mx+b
[tex]y=\frac{2}{3} x-1[/tex]
I hope this helps!
What is the measure of the indicated angle ?
Answers
Answer: this is easy put attention to your teacher
Step-by-step explanation:
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
Answers
A number is at maximum 20
Answers
Answer:
19
Step-by-step explanation:
PLS HELP ILL GIVE BRAINLIEST!!
Answers
Answer:
y = -7/2x - 7
Step-by-step explanation:
let me know if you need the steps . . .
How many different ways can you have 50¢ in change using only quarters, dimes and nickels?
A. 1
B. 4
C. 10
D. 15
PLZ help!
Answers
Answer:
Answer vary :
C. 10
Step-by-step explanation:
at least in my opinion I think so.
Answer:
C i think
you can you use 10 nickels
Can someone please help me with b c and d?
Answers
Answer:
DO NOT CARE
Step-by-step explanation:
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answers
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
Write 3435.332 out using words
(Pic for friends)
Answers
three thousand four hundred thirty-four and three hundred thirty-two thousandths
Find x in triangle ABC using geometric means.
Answers
Given:
The figure of a right angle triangle.
To find:
The value of x using geometric mean.
Solution:
According to the geometric mean altitude theorem, if an altitude h divides the hypotenuse in two parts a and b, then
[tex]\dfrac{a}{h}=\dfrac{h}{b}[/tex]
Let attitude from A touches the hypotenuse at point D.
Using this in the given triangle, we get
[tex]\dfrac{BD}{AD}=\dfrac{AD}{CD}[/tex]
[tex]\dfrac{12}{x}=\dfrac{x}{3}[/tex]
[tex]12\times 3=x^2[/tex]
[tex]36=x^2[/tex]
Taking square root on both sides, we get
[tex]\pm \sqrt{36}=x[/tex]
[tex]\pm 6=x[/tex]
Side cannot be negative. Therefore, the only value of x is 6.
what is the missing variable
Answers
3x=54
54/3
Answer - 18
Answer: x= 18
Step-by-step explanation: these are corresponding angles which means they are equal.
(4x-7) = (7x-61)
-7 = 3x -61
54 = 3x
18 = x
Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.
Answers
Answer:
30%
Step-by-step explanation:
182-140=42(increase)
increase ÷ original × 100 %
= 42÷140×100%
=30%
The percentage increase from the old number to new number is 30 percent.
Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.
We know that, percentage increase = (New Number - Original Number)/Original Number ×100
= (182-140)/140 ×100
= 42/140 ×100
= 4200/140
= 30%
Therefore, the percentage increase is 30 percent.
To learn more about the percentage visit:
brainly.com/question/24159063.
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Tiffany took out a total of $10,000 in subsidized Stafford loans for her four-year college education. How much interest that accrued during her four years of college will she have to repay assuming a market rate of 6 percent?
Answers
Answer:
$2,400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 10000 × 0.06 × 4 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 6% per year
for 4 years is $ 2,400.00.
Nimer was driving to a hotel. He looked at his sat nav at 13:30 and saw the following distance to destination = 65miles nimer arrived at the hotel at 14:48 work out the average speed of the car in mph, from 13:30 to 14:48
Answers
Answer:Average speed =50 miles per hour or 50mph
Step-by-step explanation:
We know that Speed is given as= Distance/ Time
Nimer's distance to his destination = 65 miles
Time taken to his destination = 13:30 to 14:48
which is = 14:48--13:30 = 1:18 mins
Converting 1hr 18mins to hours = 1 hour + 18/ 60 = 1 + 0.3 = 1.3 hours
Average speed =Distance/ Time
Average speed = 65miles/ 1.3hr = 50 miles per hour
PSLS S S S S S S S s s s. Ss s s s s
Answers
Answer:
80
Step-by-step explanation:
5x2x8=80
Answer:
volume= 8*2*5
=80cube
Solve equation 3(x+5)=36
Answers
Answer:
x = 7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
3x+15=36
-15 -15
3x=21
x=7
pls help w this math question
Answers
Answer:
y≥-10
Step-by-step explanation:
First step when you are give numbers, make a formula:
y+9≥-1
The next step is simply to subtract 9 from both sides to isolate the variable.
y≥-10
i hope this helps u!
pls five thanks and brainliest ;)
plz help me thx u
if u have a question abt the question just ask me in the comments
Answers
Simply (square root) 36x^3
Answers
The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)
Answers
Answer:
$114.80
Step-by-step explanation:
108 increase 6.3% =
108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804
387.4 rounded to the nearest tenth
Answers
Answer:
387.4 is the answer
Step-by-step explanation:
hope this helps=)
Answer:
387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...
Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?
Answers
Answer:
$445
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
I = 400 × 0.045 × 2.5 = 45
I = $ 45.00
The simple interest accumulated
on a principal of $ 400.00
at a rate of 4.5% per year
for 2.5 years is $ 45.00.