If x > 0, what is the difference of
[tex]6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } [/tex]in simplest radical form?
![If X > 0, What Is The Difference Of[tex]6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } [/tex]in Simplest Radical](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/euSEGAOw5bekvUBBbtrOHdbvyawsiDUc.jpeg)
Answers
Answer:
[tex]\longmapsto \sf \: \: - 14x \cdot\sqrt{14x}[/tex]
Step-by-step explanation:
[tex] \sf \: if \: x > 0 [/tex]
[tex] \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } [/tex]
[tex] \sf Let's \: solve \: for \sqrt{56 {x}^{3} } \: first, \\\longmapsto \sf \sqrt{56 {x}^{3} } = \sqrt{14 \times 4 {x}^{2} \times x } \\ \sf \longmapsto \sqrt{56 {x}^{3} } = 4x \sqrt{14x} [/tex]
Substituting above value in given equation,
[tex]\longmapsto \sf 6x \sqrt{14x} - 5 \sqrt{56 {x}^{3} } \\ \longmapsto\sf 6x \sqrt{14x} - 5 \times 4x \sqrt{14x} \\ \longmapsto \sf \: 6x \sqrt{14x} - 20x \sqrt{14x} \\\longmapsto \sf \: \sqrt{14x}(6x - 20x) \\ \longmapsto \sf \: \: - 14x \cdot\sqrt{14x}[/tex]
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Answer:
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Select the correct answer. .
Find the sum of 2 1/9 + (-2/9) + 3 5/9
O A. -5
OB. 5
O c. 52/3
OD. 5 4/9
OE. 5 5/9
Answers
Answer:
D. [tex]5\frac{4}{9}[/tex]
Step-by-step explanation:
1. Convert mixed numbers into improper fractions:
[tex]2\frac{1}{9} =\frac{19}{9}[/tex]
[tex]3\frac{5}{9} =\frac{32}{9}[/tex]
[tex]\frac{19}{9} +(-\frac{2}{9} )+\frac{32}{9}[/tex]
2. Solve:
[tex]\frac{19}{9} +(-\frac{2}{9} )+\frac{32}{9} = \frac{19}{9} -\frac{2}{9} +\frac{32}{9}[/tex]
[tex]\frac{17}{9} +\frac{32}{9}[/tex]
[tex]\frac{49}{9}[/tex]
9 can go into 49 five times, so there will be a whole number of 5. There is 4/9 left over, so the final answer is:
[tex]5\frac{4}{9}[/tex]
hope this helps!
Mia started cleaning at 10:46am and finished at 11:33am
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Answer:
x= 1/10
Step-by-step explanation:
First, factor out the common term of 2:
2(4-x)/3 - 2x-3/2 = 4
Multiply both sides by 6(the LCM of 2,3):
4(4-x) - 3(2x-3) = 24
Distribute:
16-4x - 6x + 9 =24
Add like terms:
25-10x=24
Subtract 25 from both sides:
25-10x(-25) = 24-25
-10x=-1
Divide by -10:
-10x/-10 = -1/-10
Solve for x:
x= 1/10
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Nadia needs one cup of ice cream for every student in her class for their year-end party. the ice cream is only sold in pints. if there are 24 students in her class, how many pints of ice cream will she need? describe how to solve this problem.
Answers
Answer:
12 pints
Step-by-step explanation:
There are 24 students & each one gets 1 cup, so you will need 24 cups total. There are 2 cups in a pint. You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.
You can double check: 12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups
You run 6 miles in an hour. At this rate, how long will it take you to run a marathon (approximately 26 miles)? Please enter your answer in hours (round to the nearest tenth if necessary).
Answers
Answer:
4.3
Step-by-step explanation:
26 divided by 6 is 4.3333333. rounded to the nearest tenth is 4.3
A tree is struck by lightning and snaps off 34 feet above the ground. The top part of the tree, 117feet long, rests with the tip on the ground whole the broken end rests on the top of the stump. What angle does the top part of the tree make with the ground
Answers
Answer:
17 degrees
Step-by-step explanation:
See attached image.
We conclude that the angle at the top measures 65.8°.
What angle does the top part?The whole tree measures 117 ft, and it is broken 34 ft above the ground, forming this way a right triangle.
Then one cathetus of the right triangle measures 34ft, and the hypotenuse measures 117ft - 34ft = 83ft
The angle at the top is θ, the adjacent cathetus to it is the one that measures 34 ft, then to get the angle we can use the relation:
cos(θ) = (adjacent cathetus)/(hypotenuse)
Replacing what we know, we get:
cos(θ) = (34 ft)/(83ft) = 34/83
Solving for θ, we get:
θ = Acos( 34/83) = 65.8°
So we conclude that the angle at the top measures 65.8°.
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Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
barrier = parameter, so we add all the sides:
8+3+3+5+5 = 24
24*1.75 = $42.
THEN, we need the area to solve for the mulch.
I would split it up into two parts so the rectangle and then the triangle.
First, 8*3 is 24
now we divide this by four because one bag covers four square feet
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12 divided by four again so 3
3 * 6 = $18.
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42+36+18 = $96 total for the entire project.
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Which is the net of a cube?
What is the surface area?
What is the volume?
Which is the net of a rectangular prism with a volume of 9 unit cubes? What is
the surface area?
Which is the net of a rectangular prism with a volume of 30 unit cubes?
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Answers
Which is the net of a cube? B
What is the surface area? 24cm^2
2x2 = 4, then, x by the 6 equal side ==>24 or you could count the little squares.
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D
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Answers
Answer:
y=4/3x+17
Step-by-step explanation:
y-y1 = m(x-x1)
m is the slope
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Answer:
33
Step-by-step explanation:
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Answers
Answer:
You did not write the equations correctly, well I will help you out with it
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Twice during the assembly, a student is chosen at random to assist with the presentation. after the first student has finished assisting, the student returns to the group and can be chosen a second time. what is the probability that the first student chosen is a senior and the second student chosen is a sophomore? startfraction 11 over 320 endfraction startfraction 3 over 80 endfraction startfraction 11 over 40 endfraction two-fifths
Answers
The probability that the first student chosen is a senior and the second student chosen is a sophomore is 11/320.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
Twice during the assembly, a student is chosen at random to assist with the presentation.
After the first student has finished assisting, the student returns to the group and can be chosen a second time.
There are total 80 number of students in which 22 are senior students. Thus, probability of choosing first student a senior
[tex]P(A)=\dfrac{22}{80}\\P(A)=\dfrac{11}{40}[/tex]
There are total 22 sophomores. Thus, probability of choosing second student a sophomore is,
[tex]P(B)=\dfrac{10}{80}\\P(B)=\dfrac{1}{8}[/tex]
By the chain rule, the probability that the first student chosen is a senior and the second student chosen is a sophomore is
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Step-by-step explanation:
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Answers
5 buses
Explanation:
1 bus → 175 people
=======
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The double dot plot shows the numbers of junk emails that were received by marcus and anders for the past twenty days. Which inference about the two populations is true?
A) Both sets of data have the same interquartile range.
B) Both sets of data have the same median
C) Ander’s data centers around 6 and Marcus’s data centers around 7
D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data
Answers
The true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data
What are quartiles?When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.
Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.
Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.
Similarly, second quartile (also called median) is approximately in mid of the data.
Third quartile (also called upper quartile) has approx 75% in its left partition, and on its right lies approx 25% of the data.
Left to right is said in assumption that data was arranged increasingly from left to right
How to find the interquartile range?IQR(inter quartile range) is the difference between third and first quartile.
How does the dot plot work?Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.
Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.
If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table. Thus, if its written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 in the horizontal axis.
For this case, getting the quartiles of each dataset one by one.
For the data for Anders:The number of dots show frequencies, therefore, from the image attached below, the data we get for Anders is:
1,2,2,3,3,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7
These are total 20 observations.
Mean is the ratio of sum of all observations to the number of observations.
Sum of these values is 100, and therefore, we get:
Mean = 100/20 = 5
50% of 20 is 10 (its half). And 25% is 5, and 75% is 15.
Now, any number between the 10th and 11th value will be median because before and after that will lie ten-ten observations.
We usually take mean of these two values in such case.
The 10th value is 5, and so as the 11th value.
Thus, median of this data set is 5
Similarly, the first quartile can be taken as the average of 5th and 6th value as in mid of both lie values before which lies 25% of the data and after which lies 75% of the data.
The 5th and 6th values are 3 and 5. Their average is (3+5)/2=4
Thus, the first quartile of this data set is 4
Similarly, third quartile can be taken as average of 15th and 16th value = (6+7)/2 = 6.5
Now, the interquartile range of this dataset = third - first quartile = 6.5 - 4 = 2.5
Similarly, the data set for Marcus is:2,3,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,10,10
These are total 20 observations.
Mean is the ratio of sum of all observations to the number of observations.
Sum of these values is 139, and therefore, we get:
Mean = 139/20 = 6.95 (approx 7)
Also, we get:
Median can be average of 10th and 11th value = (7+7)/2 = 7
First quartile can be average of 5th and 6th value = (6+6)/2 = 6
Third quartile can be average of 15th and 16th value = (8+8)/2 = 8
Thus, IQR = third - first quartile = 8-6 = 2
So we see that option A and B are wrong as IQR and median both are different for both the datasets.
Option C is wrong since for Ander's data, we see that both mean and median (which are central measures) evaluates to 5, so Ander's data centers around 5 instead of 6.
Option D is correct as IQR for Ander's data = 2.5 is 0.5 greater than 2 which is IQR for Marcus' data.
Thus, the true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data.
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B.The sum of the measures of the interior angles of a convex polygon is given. What kind polygon is each?
Answers
Answer:
Below in bold.
Step-by-step explanation:
The formula for the number of degrees in a convex polygon of side length n is S = 180(n - 2)
Solving for n:
n - 2 = S/180
and n = (S/180) + 2.
1. n = (900/180) + 2 = 5 + 2 = 7 . This is a heptagon.
2. n = (1800/180) + 2 = 12. A duodecagon.
3. n = (2160/180) + 2 = 14 sided polygon.
4. n = (2520/180) + 2 = 16 sided polygon.
5. n = (3420/180) + 2 = 21 sided polygon.
Ballio is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 9 inches x 14 1/3 inches. He needs to cut another rectangle that is 10 1/2 inches by 10 1/3 inches. How many total square inches of construction paper does Ballio need for his project?
Answers
Answer:
237.5 square feet of construction paper
Step-by-step explanation:
you take 9x 14 1/3 and find the answer to that which is 129 and you add it to the product of 10 1/2x 10 1/3 which is 108.5 and the sum of those is 237.5
please help, thank you if you do help me
Answers
Answer:
Question 1: -3
Question 2: 5
Step-by-step explanation:
Question 1's value decreses by 3 so the answer is -3 :)
Question 2's value increases by 5 so the answer is 5 :)
Have an amazing day!!
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Question 12
A triangle with an area of 75 cm² has a height that measures 12 cm. Find the base of the
triangle.
Answers
Answer:
6 cm.
Step-by-step explanation:
Since they've given use the area of the triangle, we can use the area formula to find the base of the triangle.
The formula to find the area of a triangle is:
a= 1/2hb
h = height
b= base
We know:
a=24
h=8
If 4 - 4h = 92, then h must equal...?
Answers
Answer:
h= -22
Step-by-step explanation:
4-4h=92
-4h=92-4
-4h=88
h= -22
what is the rate of change and y intercept please help Ill give u crown
Answers
Rate of change is for every minute she walks, she will travel 5 blocks
y=mx+b
y=-5x+7
25(q-954)=775 what is q
Answers
Answer:
q = 204
Step-by-step explanation:
25 + 954 = 979
979 - 775 = 154
Answer:
[tex]\boxed{\tt q=985}[/tex]
Step-by-step explanation:
[tex]\tt 25(q-954)=775[/tex]
Let's apply the Distributive property:-
[tex]\tt 25q-23850=775[/tex]
Add 23850 to both sides:-
[tex]\tt 25q-23850+23850=775+23850[/tex]
[tex]\tt 25q=24625[/tex]
Divide both sides by 25:-
[tex]\tt \cfrac{25q}{25}=\cfrac{24625}{25}[/tex]
[tex]\boxed{\tt q=985}[/tex]
Or we can solve it by .....
Dividing both sides by 25
[tex]\tt q-950=\cfrac{775}{25}[/tex]
[tex]\tt q-954=31[/tex]
Add 954 to both sides:-
[tex]\tt q=31+954[/tex]
[tex]\boxed{\tt q=985}[/tex]
__
Which difference will be positive?
O -6 - (-4)
O -4 - (-5)
0 8-9
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Is has length of 6 feet and width of 2 feet and height of 4 feet what is the volume
Answers
Answer:
48
Step-by-step explanation:
you multiply the length times width times height to get your answer.
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $300 as a principal amount, with an interest of 5% compounded quarterly. Sherrie wants to deposit $300 as the principal amount, with an interest of 3% compounded monthly. Explain which method results in more money after 2 years. Show all work someone please help me i beg
Answers
Answer:
Sherrie's method will make more money.
Step-by-step explanation:
They both deposit 300 dollars, since Harrison is compounding at 5% quarterly she will be making $15 every quarter and since there are 4 quarters per yr at the end of the year Harrison will be sitting at $360.
Whereas Sherrie is compounding at 3% per month so she will be making $9 per month and multiply that by 12 she will be sitting at $408 by the end of the year hence Sherrie makes more.
what is the experimental probability?
Answers
Answer:
11/50
Step-by-step explanation:
There are 22 3's, and 100 tries, so the experimental probability is 22/100 or 11/50.
What is 1/3 of $ 33,859.00 please
Answers
Answer:
11286.33333
Step-by-step explanation:
1) The numerator (1) always multiplies the number (33,859.00). "Of" implies multiplication and division.
= [tex]1 * 33,859.00[/tex]
= [tex]33,859.00[/tex]
2) The denominator (3) always divides the number (33,859.00)
= 33,859.00 ÷ 3
= 11286.33333
No working needed. Brainliest for first correct answer(s). Please list which question was answered. Answer ASAP.
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Answer:
Centre of D = -0.3 , 0.6
( 4 , 6 )
( 8 , 3 )
Step-by-step explanation:
None Needed
Which of the following choices evaluates -2x² + 4x, when x = -2?
A. -8
B. 8
C. -16
D. None of these choices are correct
Answers
Answer:
D. None of these choices r correct.
Step-by-step explanation:
PLS GIVE ME BRAINILIEST IT WOULD REALLY HELP ME!
pls help me thank you
Answers
Answer:
x=75
Step-by-step explanation:
Answer:
x=75
Step-by-step explanation:
parralel angles
90 - 15 = 75