Which expression is equivalent to the given expression?
(10c6d+5)(20–5d4)
Answers
Answer:
120c²d - 1200cd² -10c + 100d
The equivalent value of the expression is given by A = 20c/d = 20cd⁻¹
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = ( 10c⁶d⁻⁵ ) ( 2c⁻⁵d⁴ ) be expression (1)
On simplifying , we get
A = 20c⁶d⁻⁵c⁻⁵d⁴
From the laws of exponents , we get
mᵃ×mᵇ = mᵃ⁺ᵇ
So , on further simplification , we get
A = 20c⁶⁻⁵d⁵⁺⁴
A = 20cd⁻¹
A = 20c/d
Therefore , the value of A is 20c/d
Hence , the exponential value of expression is A = 20c/d
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The complete question is attached :
Which expression is equivalent to the given expression?
( 10c⁶d⁻⁵ ) ( 2c⁻⁵d⁴ )
Related Questions
Abigail has $30.00 to buy groceries.she needs to buy some apples,some bananas, and 3 pounds of potatoes.Fuji apples are $1.79 a pound ,bananas are$0.36 each, and potatoes are 2.99 for a 3 lb bag. If a represents the number of pounds of apples Abigail buys b represents the number of bananas she buys,which expression represents the amount of change she receives after her purchases?
Answers
Answer:
An expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01
Step-by-step explanation:
Let a represents the number of pounds of apples
Let b represents the number of bananas
Cost of 1 pound apple = $1.79
So, Cost of a pounds apples = 1.79 a
Cost of 1 banana = $0.36
Cost of b bananas = 0.36b
Cost of 3 lb bag of potato i.e. 3 pounds of potato = $2.99
So, Total cost = 1.79a+0.36b+2.99
Abigail has $30.00 to buy groceries
Let y be the change received by her
So, Change received by her:
y = 30-( 1.79a+0.36b+2.99)
y= 30-1.79a-0.36b-2.99
y=-1.79a-0.36b+27.01
Hence expression represents the amount of change she receives after her purchases is y=-1.79a-0.36b+27.01
Which of the following is closest to the diagonal length between A and B?
Answers
use the pythagorean theorem to solve this (a2+b2 = c2)
imagine the line as the hypotenuse of a triangle. we already have a2, which is 12, but we don’t have b2 or c2. c2 is the diagonal
to find b2, apply the pythagorean theorem to the 8in and 6in
8^2 + 6^2 = c^2
reducing this makes it 64+36=c^2
add the left side together to get 100=c^2
square root both sides to get 10=c
now we know that the bottom of the “triangle” is 10
now, to find the length of the line, apply the 12 in and 10in we just found into the pythagorean theorem.
12^2+10^2=c^2
reduce it to get 144+100=c^2
add to get 244=c^2
square root both sides to get 15.62=c
the length of the diagonal between A and B should be around 15.62
hope this helped!!
PART A: complete the two-way frequency table
PART B: What statement about this is true?
A. More children then adult were surveyed
B. The same number if adults & children prefer fruit
C. More people prefer vegetables
D. More people prefer fruit
E. More adults than children prefer vegetables
PART C. complete the table using the information from the table from PART A
Answers
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $5660 and his stock in Company B was worth $2500. The stock in Company A has increased 5% since last year and the stock in Company B has increased 9%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). pls help fast
Answers
Answer:
Step-by-step explanation:
5% + 9% = 14%
14% stock increase,
5% of $5660 is $283.
9% of $2500 is $225.
The stock increase between Company A and Company B is 14%, or $508 total.
Which problem can be solved using the equation shown?
2 dollars and 50 cents x minus 2 dollars = 10 dollars and 50 cents
1) Will bought several books that cost $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
2) Will bought several books that cost $2.00 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
3) Will bought several books that cost $10.50 each and received a $2.00 discount on his total bill. If he paid $2.50, how many books did he buy?
4) Will bought several books that cost $10.50 each and received a $2.50 discount on his total bill. If he paid $2.50, how many books did he buy?
Answers
Answer:
4
Step-by-step explanation:
What is the measure of c? О 42° O 48° O 90° • 180°
Answers
Answer: 90 degrees
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Determine if each pair of ratios or rates is equivalent (please show work down below)
Pleas explain and show o a photos of the work you did. Please help this is due in 1 hour. Please help I also have more questions.
Answers
how many solutions to this are there??
Answers
Answer:
d
Step-by-step explanation:
Answer:
there is only one solution and the answer is 0
hope this helps! Stay safe <3
Step-by-step explanation:
Help meeeeeeeeeeeeeeeeeee
10 poiiiiintsssss
Answers
Answer: no i do not agree.
Step-by-step explanation:
Try n = 2 and you will see the answer
8(2) + 6
16 + 6
22
2{4(2) + 3}
2(8+3)
2(11)
22
14(2)
All 3 do not equal to each other. Proving that Juwon's statement is wrong.
Answer:
The first two are equivalent but different than the third.
Step-by-step explanation:
\(8n+6 = 2(4n+3) => 6=6\\8n+6 = 14n => 6n = 6 => n = 1\\\\\)
The first two are identical by factoring 2 out of the first one, or distributing 2 in the second one.
The equality of the first and third equations, suggests that it is only true for n = 1.
To prove it wrong, find a number that shows the inequality:
\(n = 2\\8n+6 = 2(4n+3) = 22\\14n = 28\\\\22 \neq 28\)
Please help! Screenshot
Answers
Answer:
B) 13/25
Step-by-step explanation:
P(Potato Chips or Pretzels)
= P(Potato Chips) + P(Pretzels)
= 12/50 + 14/50
= 26/50
= 13/25
Explanation-
Total=Potato chips + Pretzels
IF ANYONE KNOWS ALREADY PLS ANSWER AND DONT WASTE ANSWERS
Unscramble the letters of the answers to the 12 previous questions to complete this statement. One letter takes the place of each blank. Type the entire message in the box below.
____ ____O____ ____ ____ ____ N____ ____ ____ ____ ____ ____!
Answers
Can we have the 12 answers of the "previous questions"
Answer:
The answer is: I LOVE FUNCTIONS
Can y’all help? Image provided
Answers
Answer:
Welll, of you know the # of the servings, then u can divide it into 5 parts. just ge the # of servings ÷ 5
Which pair of points forms a vertical line segment that is 4 units long? A. (–3, 5) and (–7, 5) B. (3, –8) and (3, –4) C. (2, 1) and (2, 3) D. (2, 4) and (–2, 4)
Answers
Answer: (-7,5) and (-3,5) :) there for answer is A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Maria needs to make 6 gallons of lemonade. She only has a 1 quart pitcher to use for measuring. How many times will she need to fill the pitcher to make 6 gallons?
Answers
Answer:
She will need to refill it 24 times
Is there a coefficient in the inequality t + 12 < 23 If so, what is it?
Answers
Answer:
yes ... the coefficient of t is 1
Answer: t < 11
Step-by-step explanation: First, remove the constant by subtracting 12 from 12 and 23. Then there's the answer.
What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)
B:(0, 5/3)
C:(0,-2/5)
D:(0,3/5)
E:(0, -2/3)
Answers
Answer:
E
Step-by-step explanation:
IF YOU DON'T KNOW, DON'T ANSWER.
If the rectangular pyramid shown above is sliced by a plane parallel to the two longer sides of the base and passing through the top vertex, which of the following best describes the cross-section of the pyramid?
Answers
Answer: w
Step-by-step explanation:
Find the length of the unknown side. Round your answer to the nearest whole number.
Group of answer choices
7 meters
9 meters
10 meters
12 meters
Answers
75^2-18^2=a^2
75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.
the square root of 5301 is 72.8079666, rounding to 72.8.
I NEED THIS LIKE, RIGHT NOW. THIS IS DUE AT 3:00
Mark used a number line to model dividing 2 3 by 3. He divided the number line from 0 to 1 in 3 equal sections, and then divided each of those sections into 2 equal parts. Mark says 2 3 ÷ 3 is 1 3 . Is his answer correct? Explain why or why not.
(NO SAMPLE RESPONSES. )
Answers
An answer no he is not correct because 23 divded by 3 is 7
Step-by-step explanation:
Answer:
He is wrong.
Step-by-step explanation:
He is wrong because if you use a calculator to find the answer to 23 ÷ 3, The answer it gives you is 7.66666666667, not 13.
Please help me! I’ll mark you Brainliest!
Answers
Answer:
\(1)m = 5 \\ 2)y = 26\)
Answer:
m = 5
y = 26
Step-by-step explanation:
Solve for a: -4.5 = a - 8
Answers
You move the a so it a= -8+ 4.5
Then calculate -8+4.5 and you will get -3.5 and than change the negative sign to a plus and you’ll have a = 3.5
Answer:
3.5=a
Step-by-step explanation:
-4.5 = a - 8
+8 +8
3.5=a
your welcome
PLZZ HELPP!! On Tony's map, the distance from Saint John, NB to St. John's, NL is 21 cm. The actual distance between these two cities is 1050km. What is the scale of Tony's map?
Answers
Answer:
1/5 000 000
Step-by-step explanation:
1050km is equal to 105 000 000cm
105 000 000 ÷ 21= 5 000 000
So the scale is 1/5 000 000.
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
please help me i will give brainliest to first person to anwser.
Answers
First we start with the formula for cylinders v=(pi)r(squared)h filled in Thats v=(3.14)(8 squared) (8) which brings us to the answer 1607.68 but you must round to the nearest tenth aka 1607.7
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
A line passes through the points (2,2) and (3,9). What is its equation in point-slope form?
Answers
slope formula
(y2-y1) / (x2-x1)
(9-2) / (3-2) = 7
slope 7
point (2,2)
y - y1 = m(x - x1)
y = m(x-x1)+y1
y = 7(x-2) + 2
find the value of a and be when x is 12 a= 5x^2/2 b= 2x^2(x-5)/10x
Answers
Answer:
a=360
b=168
Step-by-step explanation:
a=5×12×12/2=5×12×6=360
b=2×12×12×(12-5)/10×12=2×12×7=14×12=164
Write the statement "the sum of a number and 17.3 is at least −2.8" as an inequality.
I need this asap
Answers
Answer: 17.3
Step-by-step explanation:
The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is option B
We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided
Let the number be b
so, the sum of two numbers would be
b + 17.3
It is given that the sum should be at least - 2.8
this means the sum is either equal to - 2.8 or sum is more than -2.8
So, the linear inequality equation comes to be
b + 17.3 ≥ - 2.8
Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8
Answer:
Step-by-step explanation: The linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is b + 17.3 ≥ −2.8
We are given that the sum of a number and 17.3 is at least −2.8 and we have to form a linear inequality from the information provided
Let the number be b
so, the sum of two numbers would be
b + 17.3
It is given that the sum should be at least - 2.8
this means the sum is either equal to - 2.8 or sum is more than -2.8
So, the linear inequality equation comes to be
b + 17.3 ≥ - 2.8
Hence, the linear inequality for the statement " the sum of a number and 17.3 is at least −2.8" is b + 17.3 ≥ - 2.8 which is b + 17.3 ≥ −2.8.
Use digits and symbols to write ''The product of three and five is greater than the sum of three and five
Answers
Answer:
3*5>3+5
Step-by-step explanation:
product of three and five
3*5=15
sum of three and five
3+5=8
So,
3*5 > 3+5
Step-by-step explanation:
product of three and five
3*5=15
sum of three and five
3+5=8
So,
3*5 > 3+5
This is the graph of f(x) = x+A/x+B. The grid lines in the graph are one unit apart. What is the value of A/B
Answers
The value of A/B is given as follows:
A/B = -2.
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.From the graph, the function has a vertical asymptote at x = 1, hence the value of B is given as follows:
B = -1 -> as x + B = 0 -> x = -B = -1.
When x = 0, y = -2, hence the value of A is obtained as follows:
A/-1 = -2
A = 2.
Then the division is given as follows:
A/B = 2/-1 = -2.
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