Answers
A like radical to the one shown is Option C.
Which is a like radical?We know that we can be able to perform mathematical operations on the radicals such as adding and subtracting but this must be performed when we have like radicals.
When we talk about like radicals we mean that the radicals must be such that it easy for the radical to be worked upon as we have it in the question that is before us here to locate a like radical among the options.
The radical in option C has the same 2x and power as the given radical hence they are like radicals.
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Related Questions
Simplify (c3d5)3.
cd24
c9d15
c3d15
c6d8s
Answers
Answer:
[tex]c^{9}[/tex][tex]d^{15}[/tex]
Step-by-step explanation:
Financial Math questions:
You have the opportunity to make an investment that costs $1.000,000. If you make this investment now, you will receive $250,000 one year from today, $200,000, $150,000 and $400,000 two and three years from today, respectively. The appropriate discount rate for this investment is 11 percent.
a. Should you make the investment?
b. What is the net present value (NPV) of this opportunity?
c. If the discount rate is 10 percent, should you invest? Compute the NPV to support your answer.
Answers
Answer:
a. Yes, you should make the investment.
b. The NPV of the opportunity is $49,719.
c. Yes, you should invest. The NPV of the opportunity with a 10% discount rate is $55,000.
Step-by-step explanation:
True or False: Two pounds of apples costs more than
$3.50.
Answers
True: Two pounds of apples costs more than $3.50.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Andrew Buys 8 pounds of apples for $11.60.
To find the unit rate of apples:
Use division operation,
unit rate = Total cost of apples / total weight of apples
= 11.60 / 8
= $1.45
That means, the unit rate is $1.45 per pound of an apple
So, 2 pound of apples costs 1.45 x 2 = $2.9
Therefore, 2 pound of apples costs less than $3.50.
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The complete question:
Andrew Buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound. Tell whether the statement is True or False.
Two pounds of apples costs less than $3.50.
Is a rational number is always an integer? Explain
Answers
Answer: A rational number is not always an integer, but an integer is ALWAYS an rational number
Step-by-step explanation:
-> A rational number is a number that can be expressed as the ratio of two integers. For example, 1/2, 3/4, and 5/6 are all rational numbers.
However, a rational number is not always an integer. An integer is a whole number, whereas a rational number can be a fraction with a non-zero denominator.
-> For example, 1/2 is a rational number, but it is not an integer because it is a fraction with a non-zero denominator. On the other hand, 1 is a rational number and an integer because it can be expressed as the ratio of two integers (1/1).
So in summary, a rational number is not always an integer, but all integers are rational numbers.
Order these numbers from least to greatest.
6.23, -√38, -6.5, -19/3
Answers
Answer:
Step-by-step explanation:
A butterfly starts at 20m and changes -16m? What is the final elevation
Answers
Answer: = 4 m
There is a negative sign before number 16. It means the butterfly moved in a backward direction. =4 m, from the Initial position
solve plssss (correct answers only and explanation).
Answers
Answer:
y=-1/4+1
Step-by-step explanation:
Slope Intercept Form: y=mx+b
the y-intercept is b and is where the line passes through on the y-axis whether it is negative or positive.
In this case, the y-intercept is 1
Plug into the equation
y=-1/4+1
Hope this helps :)
Ken has 1.71 meters of string in 52.3 seconds. He cut the string into 0.19 meters lengths .
How many peices does he have?
4 step plan
Answers
The number of string pieces which Ken has after he cuts the string into 0.19 meter lengths is; 9.
How many 0.19 length string pieces does Ken have?It follows from the task content that initially, Ken has 1.71 meters of string. However, he cuts the string into 0.19 meters strings.
It is however required that the number of string pieces he has after cutting the 1.71 meter string into 0.19 meters lengths be determined.
On this note; the number of 0.19 string lengths he has can be evaluated by estimating the quotient as follows;
= 1.71 / 0.19
= 9.
On this note, Ken would have 9 pieces of the 0.19 meters strings.
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3. POPULATION DENSITY The table shows the populan
density for the state of Texas in various years. Find the average
annual rate of change in the population density from 2000 to
2009.
Answers
The average annual rate of change in the population density from 2000 to 2009 will be 1.9.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The table shows the population density for the state of Texas in various years.
Now,
Since, Population in year 2000 = 79.6 people per square mile.
Population in year 2009 = 96.7 people per square mile.
Hence, Change in population density between year 2000 and 2009 is:
⇒ 96.7 - 79.6 = 17.1
And, Total number of year between year 2000 and 2009 is:
⇒ 2009 - 2000 = 9
So, Substituting the values in formula, we get;
⇒ Average rate of change = 17.1 / 9
= 1.9
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The graph shows the distance (y) between Juliet and her home, in miles, after certain amounts of time (x), in hours. Which of the following statements best describes Juliet's distance from her home? *
5 points
Captionless Image
It is decreasing in the interval 3 < x < 5 hours.
It is increasing in the interval 3 < x < 4 hours.
It is decreasing in the interval 3 < x < 4 hours.
It is increasing in the interval 3 < x < 5 hours.
Answers
The statement that best describes Juliet's distance from her home from the graph is; C) It is decreasing in the interval 3 < x < 4 hours.
How to interpret Graph Intervals?
An interval on a graph is defined as a section of the x-axis that is usually examined to see whether or not the graph is increasing or decreasing throughout that section.
Now, a graph is said to be decreasing through an interval if the x-value increases as the y-value decreases. However, the graph is said to be increasing if the x-values increases as the y-values increase.
Now, looking at the given graph, we can say that between the intervals of 3 < x < 4, the graph is decreasing as it will have a negative slope. However between the intervals of 4 < x < 5, the graph is increasing as it will have a positive slope.
Thus, we can conclude that the correct option is Option C.
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11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
Answers
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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If jane walks north for 3 miles, turns $45^\circ$ to the right, and then walks another 4 miles, how many miles will jane be from her starting point? give your answer as a decimal rounded to the nearest hundredth. (you may use a calculator to compute the approximation.) if you are having trouble with this question, read problem 4.10 in the textbook.
Answers
Jane will have traveled a average of 7 miles, so she will be 5 miles away from her starting point. This can be approximated to 5.00 miles, which can be rounded to the nearest hundredth.
1. Jane has walked north for 3 miles.
2. Jane has turned 45 degrees to the right.
3. Jane has walked 4 miles after turning 45 degrees to the right.
4. Jane is now 5 miles away from her starting point. This can be approximated to 5.00 miles, which can be rounded to the nearest hundredth.
Jane has walked 3 miles north and then turned 45 degrees to the right and walked 4 more miles. This means that she has traveled a total of 7 miles from her starting point. To calculate the exact distance, we use trigonometry. We can approximate the distance to 5.00 miles, which can then be rounded to the nearest hundredth. This means that Jane is 5 miles away from her starting point.
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25 % A. B. C. 12 Task #3: Which question best describes the diagram above? Answer the question. 120 is 25% of what? 25% of 120 is what? 6 is what percent of 120? 120 is what percent of 25? D. OP
Answers
(A) 120 is 25% of 500.
(B) 25% of 120 is 30.
(C) 6 is 5 percent of 120
(D) 120 is 500 percent of 25
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
(A)
Let 120 is 25 % x,
125 = (25/100) x
x = 500
(B)
Let 25% of 120 is x,
(25/100) x 120 = x
x = 30
(C)
Let 6 is x percent of 120.
6= (x/100) 120
x = 5
(D)
Let 125 is x percent of 25.
125 = 25 (x/100)
x = 500
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Who wants BRAINLIEST? Help me out folks.
Answers
Answer:
The first figure, fourth and fifth!
First one has 24.
Second one has 30.
Third has 16.
Fourth has 24.
Fifth has 24.
Step-by-step explanation:
Hope it helps!
Joan is selling handmade bead necklaces
at a local art fair. She paid $230 to
reserve her booth. The cost of supplies
for each necklace averages $2. So, her
cost, y, for x necklaces is represented by
y = $230 + 2x. If she sells her necklaces
for $12, her revenue, y, is represented
by y = 12x.
The solution of this system is the break-
even point, the point beyond which she
starts making a profit.
Answers
Answer:
After Joan sells 23 necklaces, she will start to make a profit.
Step-by-step explanation:
y=230+2x
y=12x
substitute y in the first equation for 12x
12x=230+2x
subtract 2x from both sides
10x=230
divide 10 from both sides
x=23
26
Q and R are two numbers.
As a product of prime factors.
& Q=2³ × 3 × a³
& R=2⁴ × 3² × a²
26 (a) The highest common factor (HCF) of Q and R is 4056
Work out the value of a.
Answers
If the H.C.F of Q and R is 4056,the value of a is 13
What is H.C.F?HCF or Highest Common Factor is the greatest number which divides each of the two or more numbers. HCF is also called the Greatest Common Measure (GCM) and Greatest Common Divisor(GCD).
Q = 2³ × 3 × a³ and R = R=2⁴ × 3² × a²
This means that Q = 24a³ and R = 144a²
The common factors between 24 and 144 are: 1,2,4,6,12 and 24.
And the common factors between a³ and a² are : a, a²
Therefore the highest common factors are 24 and a² = 24a²
4056 is given as the H.C.F
therefore 4056 = 24a²
divide both sides by 24
a² = 169
Therefore a = √169 = 13
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A construction worker needs 3 2/3 pounds of concrete mix. He has 1 1/2 pounds of concrete mix in one bag, and he has 3/10 pound of concrete mix in another bag.
How many more pounds of concrete mix does the construction worker need?
Enter your answer as a mixed number in simplest form by filling in the boxes
Answers
Answer: Dear User, I have attached my answer in a PNG file because Brainly doesn't let me use the symbols required for this answer.
Step-by-step explanation:
Answer: 1 and 13/15 pounds
Step-by-step explanation:
By adding 1.5 and 0.3 we can see that the worker has 1.8 lbs. Converted to a fraction, this is 1 4/5. This can be multiplied by 3/3 to reach 1 and 12/15. He needs 3 and 10/15. By doing this we can see that the worker needs 1 and 13/15 lbs.
6. During a clearance sale at a sporting goods store,
skateboards were marked down 30%. On
Saturday, an additional 25% was taken off already
reduced prices of skateboards. If a skateboard
originally cost $119.50, what was the final price
after all discounts had been taken? Round to the
nearest cent.
Answers
If a skateboard originally cost $119.50, what was the final price after all discounts had been taken? $62.74
What is a Discount?This refers to the term that is used to describe the deduction of price from the usual price of an item.
Based on the given conditions, formulate:
Calculate the sum or difference: 119.5 x ( 1 - 25% ) x ( 1 - 30%)
Calculate the sum or difference: 119.5 x 0.75 x (1-0.3)
Calculate the product or quotient: 119.5 x 0.75 x 0.7
Calculate the product or quotient: 89.625 x 0.7
Round the number: 62.74
Therefore, the final price after all discounts had been taken is $62.74
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Let f be the function given by f(x)=x(x−4)(x+2) on the closed interval [−7,7]. Of the following intervals, on which can the Mean Value Theorem be applied to f ?
I.[−1,3] because f is continuous on [−1,3] and differentiable on (−1,3).
II.[5,7] because f is continuous on [5,7] and differentiable on (5,7).
III.[1,5] because f is continuous on [1,5] and differentiable on (1,5).
Answers
mean value theorem can be applied for option 1 and 2.
According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).
f(x) = x/{(x-4)(x-2)} on [-7,7]
f'(x) = [{(x-4)(x+2)*1} - {x(x-4)*1} - {x(x+2)}]/ {(x-4)^2 (x+2)^2}
or, f'(x) = [{(x-4)(x+2)} - {x(x-4)} - {x(x+2)}]/{(x-4)^2 (x+2)^2}
Now, if the value of X becomes 4, the entire function would be undefined.
So for option 1, set [-1,3] f is continuous on [-1,3] and differentiable on (-1,3).
For option 2, [5,7] because f is continuous on [5,7] and differentiable on (5,7).
But for option 3, since the 4 is an element of set [1,5] it would be an incorrect statement.
so mean value theorem can be applied for option 1 and 2.
note: all '−' used in the given question has been considered as - sign while solving the question.
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The Mean Value Theorem can be applied to f on intervals I, II, and III.
The Mean Value Theorem can be applied to a continuous and differentiable function on a closed interval. Therefore, to determine on which of the intervals the Mean Value Theorem can be applied to f, we must first check if f is continuous and differentiable on those intervals.
For interval I, f is continuous on [-1,3] and differentiable on (-1,3).
For interval II, f is continuous on [5,7] and differentiable on (5,7).
For interval III, f is continuous on [1,5] and differentiable on (1,5).
Therefore, the Mean Value Theorem can be applied to f on intervals I, II, and III.
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9 pints equals how many quarts equals how many pints or how many quarts?
Answers
Answer:
there are 4.5 pints in a quart
Step-by-step explanation:
There are 2 pints in a quart so just divide 9 by 2 and you get 4.5
Answer: 9 pints = 4.5 quarts
Step-by-step explanation:
1 pint = 0.5
9 pints = 0.5 x 9 = 4.5
Solve the inequality 1.5g + 12.5 ≤ 35.
Answers
Answer:
Inequality Form: g≤15
Interval Notation: (−∞,15]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Detailed explanation and solution is available in the photo. I wish you success. If there is something you do not understand, please do not hesitate to ask.
Three bells ring at an interval of 9 minutes, 15 minutes and 21 minutes. The bells will next ring together at 11.00pm. Find the time the bells had last rang together?
Answers
The lowest coMmon denominator of 9, 15, and 21 is 315 (3•3•5•7). These 3 bells ring together every 315 minutes after 5:45 pm.
45 min • 1/60 hr/min = 0.75 hr
5:45 = 5 + 0.75 hr = 5.75 hr
5:45 pm to 10:00 am next day in minutes is:
available time = (12 - 5.75 + 10) hr • 60 min/hr
available time = 16.25 • 60 = 975 min
So as much as 975 min are available for the synchronized or periodic ringings.
Number of simultaneous ringings in 975 min:
975/315 = 3.1
3•315 = 945 min
975 - 945 = 30 mins after 3rd ringing after 5:45 pm.
315 min = 315•1/60 hr/min = 5.25 hr. 5.25 hr between simultaneous rings.
The next 3 ringings after 5:45 pm (5.75 hr) are at 5.75 + 5.25 hr = 11:00 pm, and then 11.0 pm + 1 = 12 am + 4.25 = 4.25 am (4:15 am), and then 4.25 + 5:25 hr = 9:30 am. There are 30 minutes left to 10:00 am (975 mins after 5:45 pm), so a 4th ringing does not have enough time.
ANSWER: Including 5:45 pm, the bells ring together at 11:00 pm, 4:25 am, and 9:30 am — a total of 4 times
write an algebraic expression for 2 times the difference of x and y
Answers
Answer: x - y *2
Step-by-step explanation:
9 1/4 pints is equal to how many cups?
Answers
Answer:
18.5 cups
Step-by-step explanation:
There are 2 cups in 1 pint, so 9 1/4 pints is equal to 18.5 cups.
Hope this helps and if you have any more questions just ask in the comments
Mariano tosses a quarter into a wishing well. The top of the well is represented by 0 feet. The location of the quarter after the fall is represented by -22 feet. How far did the quarter fall?
Answers
The quarter fall a distance of 22 feet
How to determine how far did the quarter fall?From the question, we have the following parameters that can be used in our computation:
Top of the well = 0 feet
Location of the quarter after the fall = -22 feet.
The distance fell by the quarter is then calculated as
Distance = Top of the well - Location of the quarter after the fall
Substitute the known values in the above equation, so, we have the following representation
Distance = 0 + 22
Evaluate
Distance = 22
Hence, the distance is 22 feet
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A slice of chocolate fudge cake contains 7.25 grams of sugar. How many grams of sugar are in 2/3 of a slice of chocolate?
Answers
If a slice of chocolate fudge cake contains 7.25 grams of sugar, thr grams of sugar in 2/3 of a slice of chocolate is 4 5/6 grams of sugar
What is proportions?In general, the term proportion refers to a part, share, or amount that is compared to a whole.
Using the definition of proportion, two ratios are in proportion when they are equal.
How to find the grams of sugarThe number of grams of sugar in the chocolate is calculated using proportions
If a slice of chocolate fudge cake contains 7.25 grams of sugar
1 slice = 7.25 grams of sugar
2/3 slice = ?
cross multiplying
1 * ? = 2/3 * 7.25
? = 29/6
? = 4 5/6 grams of sugar
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Professor James gave the same test to his three sections of statistics students. On the 35-question test, the highest score was 32 and the lowest was 15. Based on the information displayed in the boxplots above, which of the following statements is true?
Section 1 has the smallest interquartile range.
The lowest score in section 2 is higher than the highest score in either of the other sections.
Section 2 has the smallest range of scores.
The top 25% of scores in section 2 are lower than the highest score in section 3.
At least 50% of the scores in section 3 are higher than all of the scores in section 1.
Answers
The statement that is true is that the lowest score in section 2 is higher than the highest score in either of the other sections.
Professor James gave the same test to his three sections of statistics students. On the 35-question test, the highest score was 32 and the lowest was 15.
To determine this, we can look at the boxplots. In section 1, the lowest score is 15 and the highest score is 27. In section 2, the lowest score is 24 and the highest score is 32. In section 3, the lowest score is 20 and the highest score is 28.
Since the lowest score in section 2 (24) is higher than the highest score in either of the other sections (27 and 28, respectively), this statement is true. Therefore the correct option is b.
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Evaluate the expression for x = -8.x = 16, and x = 4.
X ÷ 4
Answers
The value of expression putting indicated value is -2,4,1.
What is expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Here the given expression is [tex]\frac{x}{4}[/tex] .
Now put x=-8 into [tex]\frac{x}{4}[/tex] then,
=> [tex]\frac{-8}{4}[/tex] = -2.
Now put x=16 into [tex]\frac{x}{4}[/tex] then
=> [tex]\frac{16}{4}[/tex] = 4.
Now put x= 4 into [tex]\frac{x}{4}[/tex] then
=> [tex]\frac{4}{4}[/tex] = 1.
Hence the value of expression putting indicated value is -2,4,1.
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I need help please help me
Answers
The types of triangles are -
a) Triangle ABE is a right-angled triangle.
b) Triangle BEC is an isosceles triangle.
c) Triangle DEF is an equilateral triangle.
d) Triangle CDF is a scalene triangle.
What are the types of triangles?In general, triangles fall into one of two categories -
Triangles determined by the measurements of their sides - Scalene Triangle, Isosceles Triangle, Equilateral Triangle
Triangles based on their inner angles - Acute Triangle, Obtuse Triangle, Right Triangle
According to the diagram -
a) Triangle ABE has angle A which is 90°. Angle B and Angle E will be 45° each, since the sum of interior angles of the triangle should result in 180°. So, it can be classified as a right-angled triangle.
b) Line segment EC=EF+FC=5+2=7. Now, the line segment BE is also having the measurement of 7. Since, both the sides of triangle BEC are equal, hence it falls under the category of isosceles triangle.
c) Triangle DEF has all the sides equal. Hence, it is an equilateral triangle.
d) In triangle CDF, only one of the side DF=5 is known and other two sides are unknown. The sides are not marked equal and the three interior angles are also unknown. Therefore, this triangle is a scalene triangle.
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15 postcards and 10 envelopes cost 1 dollar and 70 cents. an envelope is 2 cents more expensive than a postcard. whats the price of the postcard and the envelope?
Answers
The unit cost of postcard and envelope are given as 6 and 8 cents respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
Suppose the cost of postcard be $x.
Then, the cost of envelope is x + 0.02.
As per the question, the following question can be written for the cost as,
15x + 10(x + 0.02) = 1.70
⇒ 25x = 1.50
⇒ x = 0.06
Thus, the cost of envelope is 0.06 + 0.02 = $0.08.
Which is equivalent to 8 cents.
Hence, the cost of each postcard and the envelope are obtained as 6 and 8 cents respectively.
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