Answer:
$4.50 each
Step-by-step explanation:
27/6=4.50
Need help doing this math problem the one that says AE is the one I need to do.
Check the picture below.
y varies directly with x. When x is 3, y is 15. Find y when x = 21.
Answer:
105
Step-by-step explanation:
y=kx where k is a constant
When y=15 and x=3
15=k3
k=15/3
k=5
Therefore y=5x
So, when x=21
y=21x5
=105
Please mark me brainliest
4. A department store offers a rewards card for frequent customers. Every time a customer earns 100
or more points, the customer receives a gift certificate. Each purchase is worth 12 points, and customers
automatically earn 25 points when they sign up. Which inequalities could be solved to find the number of
purchases, p, that a customer needs to make in order to earn the first gift certificate? Select all the correct
answers.
A) 12p+ 25 <100
B) 12p+ 25 100
C) 12p+ 25 > 100
D) 12p-25 ≥100
E) 25 ≥100-12p
F) 12p≥ 100-25
The inequality could be solved in order to get first gift certificate by customer is 12p≥100-25, So Option (F) is correct.
What is inequalities?Inequalities is a mathematical term, Which we use for comparison of two unequal expressions, It simply means that both the expressions are not equal. we express inequalities by following symbols ">", "<"," ≤", "≥".
Suppose total purchase is, p
Each purchase is worth 12 points,
when customer sign up automatically earns 25 points,
And, when total sum of points will be more than 100 customer will receive a gift,
So sum of points for total purchase and points earned for sign up should be more than 100,
12p+25≥100.
Hence, 12p≥100-25
To know more about Inequalities check:
https://brainly.in/question/32888799
#SPJ1
Calculate opportunity cost
Question
Anna has a fixed budget for entertainment for the year and likes movies and concerts. If Anna spends her entire budget on
movies, she can go to 70 movies. If she spends her entire budget on concerts, she can go to 35 concerts. What is the
opportunity cost of a concert?
Provide your answer below:
movie(s)
Content attribution
4
FEEDBACK
MORE INSTRUCTION
SUBMIT
The opportunity cost of a concert is 2 movies.
What is the opportunity cost ?
Opportunity cost is the cost of the next best option a decision maker forgoes when he chooses one option over other options.
If Anna decides to go to the concert, she forgoes the opportunity of going to the movies. On the other hand, if Anna decides to go to the movies, she forgoes the opportunity of going to the cinema.
Opportunity cost of a concert = number of movies she can go to / number of concerts she can go to
Opportunity cost of a concert = 70 / 35 = 2
To learn more about opportunity cost, please check: https://brainly.com/question/26315727
#SPJ1
The original quantity is 10 and ghe new one is 13. What is the percent change?
Answer:
30%
Step-by-step explanation:
(13-10) / 10 * 100% = 30 %
Madeline has $680 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $318.67.
She buys 2 bicycle reflectors for $12.89 each and a pair of bike gloves for $30.57.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $78.20 each.
Write and solve an inequality which can be used to determine x, the number of
outfits Madeline can purchase while staying within her budget.
The inequality which can be used to determine x is equal to 78.20x ≤ 304.98 , and the number of outfits Madeline can purchase while staying within her budget is 3 .
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that Total money Madeline can spend = $680
Price of the cycle = $318.67
Price of 2 pair of reflectors = 2x 12.89 = $25.78
Price of a pair of bike gloves = $30.57
It can calculated as Money left with Madeline = (Total money Madeline has ) - price of the cycle - price of 2 pair of reflectors - price of a pair of bike gloves
Thus Money left with Madeline = 680 - 318.67 - 25.78 - 30.57
= $304.98
Consider Madeline purchase x number of biking outfits
The price of each biking outfit = $78.20
The price of x biking outfit = 78.20x
Since Madeline has only $304.98 She can only use not more than $304.98.
The inequality becomes
78.20x ≤ 304.98
Solving for x we get;
x ≤ 304.98/78.20
x ≤ 3.9
Hence , x ≤ 3.
Learn more about Inequality here;
brainly.com/question/26098673
#SPJ1
A marble is randomly from a bag containing 3 red 3 blue and 3 green
Using the formula of probability without replacement, the probability of selecting 2 greens without replacement is 1/12
What is Probability without replacement
When things are taken out of a set or collection as they are chosen, the probability that a certain occurrence will take place is known as probability without replacement. In probability with replacement, the elements are altered after each choice is made, but the set is left alone.
We use the following formula to determine probability without replacement:
P(Event) = Number of positive results / Number of potential results
Where the total number of items in the set represents the number of outcomes that are feasible, and the number of positive outcomes is the number of items that meet the event requirements.
Total number of possible outcomes = 3 + 3 + 3 = 9
P(green) = (3 / 9) * (2 / 8)
P(green) = 1 / 12
Learn more on probability without replacement here;
https://brainly.com/question/251701
#SPJ1
Complete Question:
A bag holds 3 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be green?
Find the surface area
Answer:
TSA of a cuboid = 136[tex]mm^{2}[/tex]
Step-by-step explanation:
Given,
l = 8mm
b = 3mm
h = 4mm
To Find: The TSA of a cuboid
TSA = 2(lb+bh+lh)
= 2(8x3+3x4+8x4)
= 2(24 + 12 + 32)
= 136[tex]mm^{2}[/tex]
What’s the correct answer answer asap for brainlist
Correct option is B, Tossing their heads in sprightly dance, saw I ten thousand at a glance.
Nature is the most beautiful aspect of the entire planet, according to the poem I Wandered Lonely As A Cloud. Daffodils are used in the poem to symbolize the joy and splendor of nature. The poet claims that the times he spent admiring those daffodils were the happiest of his life. Between 1804 and 1807, Wordsworth penned "I Wandered Lonely As A Cloud." While out for a stroll in the English countryside, he and his sister came across a lovely belt of daffodils. In order to express the emotion that overcame him at that precise moment, Wordsworth wrote this poem.
To learn more about I wandered lonely as a cloud" by William Wordsworth from given link
https://brainly.com/question/13055373
#SPJ1
2.48925 C : 3.9901 H : 1.000 O
The ratio does not give whole
numbers, so we have to use a
multiplier. What can we multiply each element by in order to have them all reach the smallest whole number?
multiply by [?]
Hint: The multiplier should be a whole number.
Answer: its 2
Step-by-step explanation:
What are the roots of the quadratic function f(q) = q^2- 125?
Answer:
q = ± 5[tex]\sqrt{5}[/tex]
Step-by-step explanation:
f(q) = q² - 125
to find the roots , let f(q) = 0 , that is
q² - 125 = 0 ( add 125 to both sides )
q² = 125 ( take square root of both sides )
q = ± [tex]\sqrt{125}[/tex] = ± [tex]\sqrt{25(5)}[/tex] = ± ([tex]\sqrt{25}[/tex] × [tex]\sqrt{5}[/tex] ) = ± 5[tex]\sqrt{5}[/tex]
these box plots show the basketball scores for two teams compare the shape of the box plots
A statement which correctly describes the comparison between the shapes of the box plots include the following: A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.
What is skewness?In Mathematics, skewness can be defined as a measure of the asymmetry of a box plot (box-and-whisker plot) or histogram and as such, a box plot (box-and-whisker plot) or histogram has a normal distribution when it is symmetrical.
By critically observing the box plot (box-and-whisker plot) which represent basketball scores for the Bulldogs basketball team has a median of 80 (vertical line dividing the box into two equal halves), which simply means that both whiskers on either sides of the box plot (box-and-whisker plot) are relatively equal and symmetric.
On the other hand (conversely), the box plot (box-and-whisker plot) for the Wolverines basketball team shows that the median is more closer to the third quartile (upper quartile) and the whisker to the right of the box plot is longer, which ultimately implies that Wolverines' distribution is negatively skewed.
Read more on box plot here: https://brainly.com/question/16886395
#SPJ1
Complete Question:
These box plots show the basketball scores for two teams.
Bulldogs
55 70 80 90 105
Wolverines
35 55 80 85 96
Basketball scores
Compare the shapes of the box plots.
A. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is negatively skewed.
B. Both distributions are symmetric.
C. Both distributions are negatively skewed.
D. The Bulldogs' distribution is symmetric, but the Wolverines' distribution is positively skewed
Jill is studying a strange bacterium. When she first
looks at the bacteria, there are 1000 cells in her
sample. The next day, there are 2000 cells. Intrigued,
she comes back the next day to find that there are
4000 cells!
Create a table and a graph for this situation. The
inputs (x) are the days that have passed after she
first began to study the sample, and the outputs (y)
are the number of bacteria cells.
We have prepared the table and drawn the graph.
What is a graph of a function?
A graph of a function is a visual representation of the relationship between the inputs (x-coordinates) and the outputs (y-coordinates) of a function. The inputs are typically represented on the x-axis and the outputs are represented on the y-axis.
Table:
x (days) y (number of cells)
0 1000
1 2000
2 4000
Graph:
The graph would be a line graph with x-axis showing the day passed and y-axis showing the number of bacteria cells,
The point (0,1000) would be plotted on the graph, representing the initial number of bacteria cells on the first day.
The point (1,2000) would be plotted on the graph, representing the second day and the number of bacteria cells.
The point (2,4000) would be plotted on the graph, representing the third day and the number of bacteria cells.
The graph would be a upward sloping line, representing the growth of bacteria cells.
Hence we have prepared the table and drawn the graph.
To learn more about the function of a graph, visit:
https://brainly.com/question/24335034
#SPJ1
Find the equation of the tangent line to the graph of y = x^3 – 3x^2 + x at the point (2,-2)
need solution with derivatives(a-e)
The equation of the tangent line to the graph of the given function at the point (2,-2) is y = x-4
What is a tangent line?The tangent line to a plane curve at a given point is the straight line that "just touches" the curve at that point.
Given that, a function f(x) = x³-3x²+x, We need to find the equation of the tangent line to the graph of the function at the point (2,-2)
The given function is f(x) = x³-3x²+x, we have x = 2,
Finding the slope of the line,
f'(x) = 3x²-6x+1
Slope = f(2)
f(2) = 12-12+1 = 1
Since, the tangent line passes through (2,-2) and have slope 1,
We know, the equation of the tangent line can be found using the formula y-y₁ = m(x-x₁), where m is the slope and (x₁, y₁) is the coordinate points of the line.
y-(-2) = 1(x-2)
y+2 = x-2
y = x-4
Hence, the required equation is y = x-4
For more references on tangent line, click;
https://brainly.com/question/23265136
#SPJ1
↓Read the passage and answer the question below.↓
"Around 7,000 years ago, agriculture emerged in Mesoamerica, including the domestication of maize, beans, and squash, causing major changes in the plants that people cultivated. Three sisters agriculture had spread across Mexico by 3,500 years ago, though they originated at different times."
------------------------------------------------------------------------------------------
How did the cultivation of maize affect settlement patterns in the American Southwest and present-day Mexico?
Warning: Choose 1 answer.
The cultivation of maize affected the settlement patterns in the American Southwest and present-day Mexico as B. It caused Native Americans in the area to develop permanent settlements supported by farming and irrigation system
What was the impact of the cultivation?The cultivation of maize had a significant impact on settlement patterns in the American Southwest and present-day Mexico. In the American Southwest, the cultivation of maize, along with other crops such as beans and squash, allowed for the development of more permanent settlements as people were able to rely on a stable food supply. This, in turn, led to the growth of larger, more complex societies and the development of elaborate systems of trade and exchange.
In present-day Mexico, the cultivation of maize played a central role in the development of complex societies such as the Olmec, Maya, and Aztec. These societies built sophisticated systems of agriculture, including terracing, irrigation, and crop rotation, which allowed them to support large populations and build elaborate cities. The cultivation of maize was also closely tied to the religious and cultural practices of these societies, and it played a central role in their economies and social systems.
Learn more about settlement on:
https://brainly.com/question/12795394
#SPJ1
Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $94 Two adults and three children must pay $66 Find the price of the adult's ticket and the price of a child's ticket
A child's ticket would cost $10 while and adult's ticket would cost $18.
What is a Linear Equation?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1.
For example, x² is a variable raised to the second power, but x is a variable raised to the first power.
5 is an example of a constant.
The expressions are;
3a + 4c = 94 ---- 1
2a + 3c = 66 ---- 2
Multiplying equation 1 by 2 and equation 2 by 3
6a + 8c = 188 ---- 3
6a + 9c = 198 ---- 4
--------------------------
- c = - 10
therefore;
c = 10
Substituting c in equation 3
6a + 8(10) = 188
6a + 80 = 188
6a = 188 - 80
6a = 108
a = 18
Therefore, child's ticket costs $10 while and adult's ticket cost $18.
Learn more about linear expressions here: https://brainly.com/question/2030026
#SPJ1
The Boolean expression
A >= B
is equivalent to which of the following expressions?
(A) !(A < B)
(B) !(B >= A)
(C) !(A <= B)
(D) A != B
(E) B >= A
The Boolean expression A >= B is equivalent to !(A < B) (option A)
To simplify a Boolean expression, use De Morgan's Law.
De Morgan's Law is used to simplify or find the equivalent of a negation of compound expressions.
The principle is:
NOT (A AND B) is equivalent to (NOT A) OR (NOT B)
NOT (A OR B) is equivalent to (NOT A) AND (NOT B)
When the expression involves >, <, = signs, then to simplify the expression, move the not and flip the sign.
! is the symbol of negation or NOT.
Hence,
! (>) becomes <=
! (<) becomes >=
Here are some examples:
!(A > B) is equivalent to (A <= B)
!(A <= B) is equivalent to (A > B)
!(A >= B) is equivalent to (A < B)
!(A == B) is equivalent to (A != B)
!(A != B) is equivalent to (A == B)
!(A < B) is equivalent to (A >= B)
From the above list we can conclude that A >= B is equivalent to !(A < B) (option A)
Learn more about Boolean expression here:
https://brainly.com/question/29619598
#SPJ4
mr alvarez tells his students that the next math test will have 50 problems he also says that 20% of the problems will be
If mr alvarez tells his students that next math test has 50 questions. he also says 20% will be word problems. The number of word problems that will be in the test is 10.
How to find the word problem?Using this formula to find the number of word problem
Number of word problem =Next math test problems × Percentage of word problem
Where:
Next math test problems = 50 problem
Percentage of word problem = 20% or .20
Let plug in the formula
Number of word problem = 50 × .20
Number of word problem = 10 problem
Therefore we can conclude that the number of word problem is 10 problem.
Learn more about number of word problem here:https://brainly.com/question/21405634
#SPJ1
The complete question is;
mr alvarez tells his students that next math test has 50 questions. he also says 20% will be word problems. the students want to know how may word problems will be in the test
A truck is carrying 5 cars weighing an average of 3,000 pounds each.
What is the total weight in tons of the cars on the truck?
The total weight of the cars the truck is carrying is
tons.
Arun has x pennies and y nickels. He has no less than 20 coins worth a maximum of $0.40 combined. Solve this system of inequalities graphically and determine one possible solution
A graph of the system of inequalities is shown in the image and one possible solution is the ordered pair (-4, 24).
How to solve these system of inequalities graphically?In order to solve these system of inequalities graphically, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:
Let x represent number of pennies.Let y represent number of nickels.Let T represent total number of coins.Note: 1 quarter is equal to 0.25 dollar, 1 nickel is equal to 0.5 dollar, and 1 dime is equal to 0.1 dollar.
Since Arun has no less than 20 coins worth a maximum of $0.40 combined, an inequality to represent this is given by;
x + y ≥ 20
For a maximum of $0.40 combined, we have:
0.5x + 0.1y ≤ 0.40
From the graph (see attachment), a possible solution is given by the ordered pair (-4, 24).
Read more on nickel here: https://brainly.com/question/21840373
#SPJ1
Jessica has a sack of vegetables.
There are 3 carrots for every 4 potatoes
in the sack.
If there are 12 carrots in the sack, how
many potatoes are there?
First, we can set up the ratio of carrots to potatoes as 3:4. Since there are 12 carrots, we can set up the following proportion:
3/4 = 12/x
To solve for the number of potatoes, we can cross-multiply to get:
4x = 12 * 4
x = 48/4
x = <<48/4=12>>12 potatoes.
Therefore, there are 12 potatoes in the sack.
Answer:
Here's a graph that represents the relationship between the number of carrots and the number of potatoes in the sack:
Carrots (x) Potatoes (y)
0 0
3 4
6 8
9 12
12 16
As you can see from the graph, if there are 12 carrots in the sack, then there are 16 potatoes in the sack.
You can also use this graph to find the number of potatoes if you know the number of carrots, or to find the number of carrots if you know the number of potatoes. Simply find the number of carrots or potatoes on the x-axis or y-axis, and then follow the line upward or downward until you reach the line that represents the relationship between carrots and potatoes. The number you reach on the other axis is the number of carrots or potatoes.
Step-by-step explanation:
Graph the solution to this inequality on the number line.
58z>56
The graph of the solution to the inequality 5/8z > 5/6 is attached
How to graph the solution to this inequalityFrom the question, we have the following parameters that can be used in our computation:
5/8z > 5/6
Multiply both sides of the inequality by 1/5
So, we have the following representation
1/8z > 1/6
Multiply both sides of the inequality by 8
So, we have the following representation
z > 8/6
Evaluate the quotient
This gives
z > 1.33
The above inequality means that the inequality starts from 1.33 and faces the right side
See attachment for the graph
Read more about inequality at
https://brainly.com/question/25275758
#SPJ1
Name:
Write a system of equations and solve. Show all steps.
How many pounds of peanuts selling for 85 cents per pound must be mixed with 40 pounds of peanuts selling
for 98 cents per pound to produce a blend selling for 90 cents per pound?
Step-by-step explanation:
Let X be the number of pounds of peanuts selling for 85 cents per pound and Y be the number of pounds of peanuts selling for 98 cents per pound.
We can set up the following system of equations to represent this situation:
X * 0.85 + Y * 0.98 = 0.90 * (X + Y)
X + Y = 40
The first equation represents the total cost of the blend, and the second equation represents the total number of pounds of peanuts.
To solve this system of equations, we can use a method such as graphing, substitution, or elimination.
Using the substitution method, we can solve for one variable in terms of the other and substitute it into the other equation. For example, we can solve the first equation for X:
X = (0.90 * (X + Y) - Y * 0.98) / 0.85
Then, we can substitute this expression for X into the second equation:
(0.90 * (X + Y) - Y * 0.98) / 0.85 + Y = 40
Solving this equation for Y gives us the number of pounds of peanuts selling for 98 cents per pound:
Y = (40 * 0.85 - 0.90 * X) / (0.10 - 0.98)
To find the value of X, we can substitute this expression for Y into the first equation and solve for X:
X * 0.85 + (40 * 0.85 - 0.90 * X) / (0.10 - 0.98) * 0.98 = 0.90 * (X + (40 * 0.85 - 0.90 * X) / (0.10 - 0.98))
Solving this equation for X gives us the number of pounds of peanuts selling for 85 cents per pound:
X = 18.75
Therefore, 18.75 pounds of peanuts selling for 85 cents per pound must be mixed with 40 pounds of peanuts selling for 98 cents per pound to produce a blend selling for 90 cents per pound.
The following data points represent the number of chicken nuggets on each family member's plate. \qquad 1, 3, 0, 6, \large?1,3,0,6,?1, comma, 3, comma, 0, comma, 6, comma, question mark if the mean of the data set is 333 chicken nuggets, find the missing number of chicken nuggets. \qquad nuggets
The mean is 2, the missing data point must be 2 - 6 = -4. Therefore, the missing number of chicken nuggets is -4.
To find the mean of the data set, we need to add up all of the data points and divide by the number of data points. In this case, the sum of the data points is 1 + 3 + 0 + 6 = 10. Since there are 5 data points in total, the mean is 10 / 5 = 2.
Since the mean is 2, the missing data point must be 2 - 6 = -4. Therefore, the missing number of chicken nuggets is -4.
Mean is a type of average, which is a measure of central tendency. It is calculated by adding up a group of numbers and then dividing the sum by the number of numbers in the group. Mean is often referred to as the "arithmetic average".
To learn more about the mean, visit:
brainly.com/question/12019147
#SPJ4
As per the given mean, the missing number of chicken nuggets is 5
The term mean in math is defined as the process of adding all numbers in the data set and then dividing by the number of values in the set.
Here we have given that the question assumes there are 5 people at the table.
And the number of nuggets are written as,
=> 1,3,0,6,and x.
Here x refers the missing number of chicken nuggets.
Then the equation is written as
=> 1 + 3 + 0 + 6 + x = 10 + x
Here we can multiply both sides by 5 to clear the denominator:
Then we have to isolate the x by subtracting 10 from both sides.
=> 10 + x - 10 = 15 - 10
Then the value of x is written as
=> x = 5
Therefore, the missing number of nuggets is 5.
To know more about Mean here.
https://brainly.com/question/11822836
#SPJ4
Find the value of X. (please no spamming and do both problems) I'll make brainliest.
Answer:
13. x=4
14. x=8
Step-by-step explanation:
We know that these are both isosceles triangle because the two base angles are the same on #13, and the two sides are the congruent on #14. So all we need to do is make equations of equivalence. So #13 9x-8=28 and #14 11x-18=70. Look at the work shown in the image and follow those steps.
-Hope this helped & Happy New Year!
Solve for m∠D:
Extra Characters.............
We can notice that this is a quadrilateral with two pairs of equal sides, with that we will see that:
m∠D = 98°
How to find the measure of angle D?In the image we can see a quadrilateral ABCD, on that image we can see that:
AB = CD
AD = BC
You can notice that because of the "arrows" on the sides.
From that, we can conclude that the measures of the angles meet the conditions:
m∠A = m∠C
m∠D = m∠B
On the image we also can see that:
m∠B = 98°
And the measure of angle B is equal to the measure of angle D, then we can conclude that the measure of angle D is also 98°, so:
m∠D = 98°
Learn more about quadrilaterals by reading:
https://brainly.com/question/23935806
#SPJ1
How dose breaking up the multiplication problem above by place value help you solve the problem
Answer: Multiplying a large number can be easier if you break it up into its place values and perform the multiplication separately for each place value.
Step-by-step explanation:
Take the following multiplication issue, for instance:
43 x 32
The issue arises if place value is used to divide the numbers:
(4 x 3) + (3 x 2) + (3 x 3) (3 x 3)
This can be stated simply as:
12 + 6 + 9 = 27
Thus, the final response is 27.
Breaking up the multiplication problem by place value can also help you avoid making mistakes because you can check each place value separately to make sure that the calculations are correct before adding them together to get the final answer.
The rule c=6.3r gives the approximate circumference c of a circle as a function of its radius r. Identify the independent and dependent variables in this relationship
The circumference (c) is the dependent variable.
The radius (r) is the independent variable.
How to identify the independent and dependent variables in a relationship?
An independent variable is a variable that does not depend on any other variable for its value
A dependent variable is a variable depend on any other variable for its value.
In the rule c = 6.3r, the circumference (c) of a circle depends on the radius for its value while the radius (r) does not depend on the circumference for its value.
Thus, the circumference (c) is the dependent variable while the radius (r) is the independent variable
Learn more about dependent and independent variables on:
brainly.com/question/25223322
#SPJ1
What one is the answer and how do you answer it?
The volume of the composite figure with the indicated side length dimensions is obtained by finding the sum of the volume of the square pyramid and the cuboid to get the volume as about 1295.1 mm³.
What is a composite figure?A composite figure is a figure that consists of the sum of two or more regular figures.
The possible question is to calculate the volume of the shape;
The specified figure is a composite figure, consisting of a cuboid and a triangular prism
The volume of the figure = The volume of the cuboid + The volume of the prism as follows;
Volume of the cuboid = 13 mm × 13 mm × 5 mm = 845 mm³
The volume of the rectangular pyramid is found using the formula for the a pyramid as follows;
V = (1/3) × Base area × Height
The height of the pyramid is h = √(10.3² - (13/2)²) = √(63.84)
Therefore; V = (1/3) × 13 mm × 13 mm × √(63.84) mm ≈ 450.1 mm³
The volume of the figure approximately 845 mm³ + 450.1 mm³ = 1295.1 mm³Learn more on finding the volume of composite figures here: https://brainly.com/question/9221571
#SPJ1
1. Choose the expression below that can be simplified using the product rule.
(4⁵ a⁰)(7²b⁻⁶)
(8⁵a⁻⁴)(b⁷c⁻⁵)
a⁻⁷b¹⁰ / c⁷ d¹⁴ . 15
(11²a⁻⁵)(11a⁹b⁷) / 5²
The only expression that can be solved using product rule of exponents is; (11²a⁻⁵)(11a⁹b⁷) / 5²
How to solve product rule of exponents?The Product Rule for Exponents states that to find the product of two numbers with the same base, add the exponents.
For example : a² * a³ = a²⁺³
1) We are given the exponential expression as; (4⁵ a⁰)(7²b⁻⁶)
From this expression, the numerator and denominator don't have any same base and as such we can say we cannot use product rule for it.
2) We are given the exponential expression as; (8⁵a⁻⁴)(b⁷c⁻⁵)
From this expression, the numerator and denominator don't have any same base and as such we can say we cannot use product rule for it.
3) We are given the exponential expression as; a⁻⁷b¹⁰ / c⁷ d¹⁴ . 15
From this expression, the numerator and denominator don't have any same base and as such we can say we cannot use product rule for it.
4) We are given the exponential expression as; (11²a⁻⁵)(11a⁹b⁷) / 5²
Using product rule of exponents, we have;
(111/25) * (a⁻⁵⁺⁹) * b⁷
= (111/25)a⁴b⁷
Read more about product rule of exponents at; https://brainly.com/question/847241
#SPJ1
