The solution for the given expression is 14∛x. The correct option is (C).
What is an Algebraic expression?An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.
The variable part of an algebraic expression can never be added or subtracted from the constant part.
The given expression is as below,
5∛x + 9∛x
The given expression can be simplified as follows,
5∛x + 9∛x
Here, both the terms have equivalent variables. So, both are like terms.
As per the rules like terms can be added or subtracted keeping the variable as the same.
Thus, 5∛x + 9∛x = 14∛x
Hence, the given expression can be evaluated as 5∛x + 9∛x = 14∛x.
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In a capture-recapture study, a biologist tagged and released 330 deer. A month later she captured 40 deer, 10 of which had tags. About how many deer were in the population?
Answer:
I think that there should be 320 tagged deer in the population
A ratio shows us the number of times a number contains another number. The total population of the deer after a month was 1320.
What is a Ratio?A ratio shows us the number of times a number contains another number.
When the deer were recaptured 10 out of the 40 deers were tagged therefore, the ratio of the tagged deers to the total population of the deers is 10/40. Thus, we can write the total population of the deer as,
\(\dfrac{\text{Tagged Population}}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\dfrac{330}{\text{Total Population}} = \dfrac{10}{40}\\\\\\\text{Total Population} = \dfrac{330 \times 40}{10} = 1320\)
Thus, the total population of the deer after a month was 1320.
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A cookie recipe asks for 5 cups of sugar for every 25 cookies
made. How much sugar is used per cookie?
Answer:
0.2 cups of sugar
Step-by-step explanation:
Make a proportion:
5 cups / 25 cookies = x cups / 1 cookie ---> 0.2
Answer:
I'm verrry sorry if i get it wrong plz forgive me if it is but here is my hypothesis.
Step-by-step explanation:
You just divide 5 by 25 which would be 0.2 and so it would be 0.2:1 or 0.2 per cookie
plz mark me brainliest!
Which statement is true about liabilities but not expenses
A. They have a normal debit balance.
B. They are due in the period they are incurred.
C. They are on the company’s income statement
D. They are recorded when owed
Answer:
B. They are recorded when owed
Step-by-step explanation:
Hope this helps
Find three consecutive numbers whose sum equals
999.
Answer:
332, 333, 334
Step-by-step explanation:
First, we acknowledge that the equation that we need to solve will be "x+(x+1)+(x+2)=999" This is because x represents the smallest of three consecutive numbers whose sum is 999. Simplifying this equation will leave us with 3x+3=999 which is simplified further to 3x=996 and again simplified to x=332. X is the smallest number of the three.
PLEASE PLEASE HELP MEEE :(
Select the correct point on the coordinate plane.
Which point can be used to form a right triangle to derive the distance formula to find the length of the line segment?
(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment
Determining the distance between two points.Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.
The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:
D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63
Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)
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Answer: It’s -1,-3
Step-by-step explanation:
got 100 on the test
51. MULTIPLE CHOICE Which of the following numbers is not prime?
(Skills Review Handbook)
A 1
B 2
C 3
D 5
For her 9th birthday, Cindy
wanted to buy her class
number nine donuts. If each
number donut costs $1.09 and
she has 22 students in
her class, how much will
she spend on donuts?
Answer:
23.98 dollars
Step-by-step explanation
Multiply 22 x 1.09
Answer:
$23.98
Step-by-step explanation:
If there's 22 students to serve, Cindy needs to take the price of one donut ($1.09) and multiply that by 22.
22 x 1.09 = 23.98
How many 11-card hands are possible with a 20-card deck?
There is only 1 possible 11-card hand that can be formed from a 20-card deck.
To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.
The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.
The formula for combinations is:
nCk = n! / (k!(n-k)!)
Where "!" denotes the factorial of a number.
Substituting the values into the formula:
20C11 = 20! / (11!(20-11)!)
Simplifying further:
20C11 = 20! / (11! * 9!)
Now, let's calculate the factorial values:
20! = 20 * 19 * 18 * ... * 2 * 1
11! = 11 * 10 * 9 * ... * 2 * 1
9! = 9 * 8 * 7 * ... * 2 * 1
By canceling out common terms in the numerator and denominator, we get:
20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)
Performing the multiplication:
20C11 = 39,916,800 / 39,916,800
Finally, the result simplifies to:
20C11 = 1
Consequently, with a 20-card deck, there is only one potential 11-card hand.
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Pls help with this math problem
Answer:
y=1/4x+6
Step-by-step explanation:
The formula for writing a slope equation is y=mx+b. The slope is 1/4, or m, and the y-intercept is 6, or b. Don't worry about the x or y, leave them as variables.
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
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Instead of using the values {1,2,3,4,5,6) on dice, suppose a pair of dice have the following: {1,2,2,3,3,4} on one die and {1,3,4,5,6,8} on the other. Find the probability of rolling a sum of 2 with these dice. Be sure to reduce.
Answer:
1/36
Step-by-step explanation:
you multiply 1/6 × 1/6
because the only way to get the sum of 2 is 1+1 and there is a 1/6th chance on both dice
Answer:
1/36
Step-by-step explanation:
got it right
Pls help :))) ASAP:)))
it’s letter B. your welcomeeee
Dorothy organises a charity raffle she sells 800 tickets for £2 each 4% of the tickets win a prize it cost £20 65% of the profit goes to charity A and the rest goes to charity be how much of the money does Dorothy raise for charity day
By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336
What is Percentage ?A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:
use the unitary approach.by adjusting the fraction's denominator to 100.It should be noted that when the denominator is not a factor of 100, the second technique of percentage calculation is not applied. In these situations, we employ the unitary technique.Total ticket sold = 800
Cost of each ticket is £ 2
Total fund raised (raw) = 2 * 800 = £1600
4% of the ticket won a prize of £20 each
so total number of tickets winning a prize = 4 % of 800 = 32
Total prize money distributed = 32 * 20 = £ 640
Total amount to distribute to charity = 1600 - 640 = £ 960
Total profit that goes to Charity A is = 65 % of 960 = £624
And rest to charity B is = £ 336
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In a typical two-candidate election, the winner needs more than 50% of votes. A poll taken before a close election indicates that 53% of those surveyed favor candidate Lee. The poll has a 5% absolute deviation. (A poll can decrease uncertainty by surveying more people, but that can be expensive or take too much time.) What should candidate Lee conclude from this poll?Group of answer choicesHe will probably get less than 48% of the vote.He will probably get more than 58% of the vote.He should work hard to persuade more of the voters to vote for him.He will win the election.
Given that the absolute deviation is 5%, the interval of uncertainty is
\(53\%\pm5\%=\lbrack53-5,53+5\rbrack=\lbrack48,58\rbrack\)Therefore, the actual outcome of the election can be between 48% and 58% of the total votes in Lee's favor.
Thus, neither of the two first options is possible to occur due to the characteristics of the poll. On the other hand, he has not unequivocally won the election since he could only get 48% to 49.999...% of the votes.
Hence, the answer is the third option 'He should work hard to persuade more of the voters to vote for him'
Write the equation of a line in point-slope form that is parallel to the line y=2x-5 and goes through the point (-1,4)
(y-4) = 2(X+1)
Step-by-step explanation:
Hey there!
The given eqaution is; y = 2x-5.......(i)
Now; As the eqaution is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, slope of the 1st equation (m1) = slope of 2nd eqaution (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the eqaution of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write upto here. But it you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Hope it helps.....
Answer: y - 4 = 2(x + 1)
Step-by-step explanation:
The point slope form formula says that y - b = m(x-a) where m is the slope,b is the y coordinate of a given point , and a is the x coordinate of the same point.
Remember that parallel lines have the same slopes but different y-intercepts, meaning that m will equal to 2 because the slope for the line y=2x-5 is 2.
m will be 2, b will be 4 , and a will be -1.
y - 4 = 2(x - (-1) which reduces to
y - 4 = 2(x + 1)
A bag contains 5 red and 3 bluearble. Two marbles are drawn simultaneously from the bag. DETERMINE the probability that at least one is red.
Answer:
5/8
Step-by-step explanation:
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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pls help soonnnnn i need number 2
Answer:
3 3/16 lbs is the total amount the puppies weigh
The graph above shows the distance that a truck travels as a function of the total number of liters of fuel used. The first 6 liters of fuel were used for city driving, while the next 10 liters were used for highway driving. Based on the graph, how does the average miles per liter for city driving compare to the average miles per liter for highway driving?
Answer:
The city and highway average are about the same
Step-by-step explanation:
The m/slope of this graph tells us the relation between fuel used and miles traveled.
So, by looking at the slope, we can tell the average miles per liter for driving.
Because the slope of this graph stays fairly consistent (the slope stays the same throughout the entire graph, and there is no sudden change in the miles per liter ratio), we know that the fuel usage does not change.
So, we don't even have to calculate the slope for each separate section, we know that the usage is about the same (from simply looking at the graph).
(Also, if you specifically wanted to calculate slope to confirm, like I just did, you could do this too. Without even having to calculate the slope itself, you can find one point in each section to judge. The points I used were (2, 10) [10m traveled with 2 liters, meaning 5m traveled with 1 liter] and (10, 50) [50m traveled with 10 liters, 5m traveled with 1 liter])
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
77 divided by 18 = ?
Answer: 4 with a remainder of 5
Answer:
4.27777777778
Step-by-step explanation:
4.3 rounded ;)
SOMEONE HELP ME PLEASE!! 100 POINTS FOR ANSWER!!
I took a screenshot of my problem.
Answer:
B it originally cost 12000
Step-by-step explanation:
the depriciation factor is 0.75^t and the original value was 12000
Answer:
(2) The motorcycle cost $12,000 when purchased.
Step-by-step explanation:
\(V(t)=12000(0.75)^t\)
\(V(0)=12000(0.75)^0=12000\)
\(V(1)=12000(0.75)^1=9000\)
\(V(2)=12000(0.75)^2=6750\)
etc.
⇒ Initial cost = $12,000
⇒ The motorcycle's value is decreasing by 25% each year.
lamonte car used 5 gallons to travel 125 miles.how many gallons of gas would he need to travel 400 miles
Answer:
Step-by-step explanation:
1. Get mileage per gallon by dividing miles traveled by gallons used
\(\frac{125}{5} = 25 mpg\\\)
2. Divide miles you want to travel by the mileage per gallon you got on the first step
\(\frac{400}{25} = 16 gallons\)
Consider the figure shown below. What is the value of the angle x?
x = _______ degree.
helppppppppppppppp
Ginny and Bob are both locksmiths.
Ginny uses the function f(x)=60x+80 to determine the charge to her customers, where x represents the number of hours of labor.
The table shows what Bob charges a customer for x hours of labor.
x (hours) 0 1 2 3 4
cost ($) 60 140 220 300 380
Which locksmith charges less for an initial fee for a service call?
Drag a value or name to the boxes to correctly complete the statements.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Ginny charges Response area for an initial fee, and Bob charges Response area for an initial fee. Response area charges less for an initial fee.
For the initial fee, Bob charges less than Ginny.
What is unit rate?A unit rate means a rate for one of something.
Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.
Ginny initial charge = $80
Bob initial charge =$60
Hence, For the initial fee, Bob charges less than Ginny.
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Sundeep mixed 300 mL of water with 100 mL of sugar. She says "the total volume is
300 mL + 100 mL = 400 mL." Do you agree with Sundeep? Explain why or why not.
No, I don't agree with Sundeep. The mixture wont simply add up
How to show the volume will not be 400 mlWhen two liquids are mixed together, their volumes don't simply add up to equal the total volume of the mixture.
When sugar is mixed with water, the total volume of the mixture is usually slightly greater than the volume of the water alone, because the sugar particles take up space between the water molecules.
The volume of the mixture will be equal to the sum of the individual volumes only if the two liquids are completely immiscible, meaning they don't mix together at all. In this case, the total volume of the mixture will be equal to the sum of the volumes of water and sugar, which is 400 mL.
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Find the missing term in the pattern.
Answer:
20
Step-by-step explanation:
6 + 2 = 8
8 + 3 = 11
11 + 4 =15
15 + 5 =20
Answer:
20
Step-by-step explanation:
the pattern is increase the number by one more than the increase before. so 6,8=2 greater
8-11=3 greater. 11-15=4 greater. so, 15+5=20 (with this answer being 5 greater continuing the pattern.)
The table represents a linear relationship
X—2 0 4
Y-4 3 1
Which equation represents the table
Y=1/2x+5
y=-1/2x+3
Y=2x-3
Y=-4x+2
The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.
To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.
Given the table:
X: 2 0 4
Y: -4 3 1
We can plot these points on a graph and see that they form a straight line.
Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.
Based on the given options, we can now evaluate each equation to see which one represents the line:
Y = 1/2x + 5
When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.
Y = -1/2x + 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.
Y = 2x - 3
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.
Y = -4x + 2
When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.
In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.
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Simplify 5/13(.75-.49)
Answer: .01
Step-by-step explanation:
"Three-fourths
of a number
decreased by 10
is greater than
or equal 5"
Answer:
3/4n-10≥5.
Step-by-step explanation: