Answers
Answer:
A. [tex]\frac{c}{11} *7-48[/tex]
Step-by-step explanation:
Related Questions
Paula measured the auditorium and made a scale drawing. The stage, which is 56 feet long in real life, is 84 inches long in the drawing. What scale did Paula use?
3 inches= blank feet
Answers
Based on the number of inches in the drawing and the number of feet in real life, the scale that Paula used was 3 inches = 2 feet
What scale did Paula use?The scale that Paula used was such that the stage was 56 feet long in real life but 84 inches long on the drawing.
The scale can therefore be shown by the ratio:
56 feet : 84 inches
If the number of inches is 3 then the number of feet in the scale would be:
56 feet : 84 inches
x feet : 3 inches
Cross-multiplying gives:
84x = 168
x = 168 / 84
x = 2 feet
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12. Troy made 5 out of 7 jumps on his dirt bike. What percentage ofjumps did he make?62%57%85%71%
Answers
Question: Troy made 5 out of 7 jumps on his dirt bike. What percentage of jumps did he make?
Answer:
Note that, the 7 jumps are 100 percent of the jumps. Therefore, we make a rule of three, that is:
that is equivalent to say the following equation:
percentage of jumps = (5x 100%) ÷ 7 = 500% ÷ 7 = 71.42 = 71,3
that is, approximately 71 %
Jim's backyard is a rectangular that is 15 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to but to cover his backyard with sod.
Answers
The number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.
What is termed as the unitary method?The unitary method is a process that determines the value of a single unit from the value of multiple units, as well as the value of multiple units from of the value of a single unit.For the given question;
The backyard of Jim is in the shape of the rectangle.
The dimension of the yards are in given in mixed fraction, convert that in improper fraction as;
Length : 15 5/6 yards = 95/6 yardsWidth : 10 2/5 yards = 52/5 yardsThe area of the rectangle yard is;
Area = length x width
Area = 95/6 x 52/5
Area = 76 sq. yd.
The dimension of the sod in pieces are -
Length : 1 1/3 yardsWidth : 1 1/3 yardsArea of each sod is -
Area = length x width
Area = 11/3 x 11/3
Area = 121/6 sq. yd.
Thus, the total umber of the sods required for the yard is;
Number = 76 sq. yd. / 121/6 sq. yd.
Number = 3.76 ≈ 4
Thus, the number of pieces of sod will Jim need to cover his backyard with sod is 4 pieces.
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15yards to 18 yard increase or decrease
Answers
Answer:
Increase
Step-by-step explanation:
You start at 15 yards then proceed to MOVE UP(Increase) 3 more yards getting you to 18.
Answer:
increase
Step-by-step explanation:
because your going 3 more yards on a number line you would travel right
in a research report by richard h. weindruch of the ucla medical school, it is suggested that mice with an average life span of 34 months will live longer when 30% of the calories in their food are replaced by vitamins and protein. what hypotheses should we use to test this claim?
Answers
A declaration of anticipation or prediction that will be put to the test through study is called a research hypothesis.
How do you calculate hypothesis example?
Different forms of hypothesis testing are used to establish whether or not the null hypothesis can be rejected depending on the type and quantity of the evidence supplied.The following list of significant test statistics includes the formula for testing hypotheses:z = ¯¯¯x−μσ√n x ¯ − μ σ n . We already know that the z-score is 1.645 and the level of significance is 0.05.Let's compare it to the Z-test now.Because 0.744 1.645, the null hypothesis is true.So, the assertion made by the firm that the average lifespan of their batteries is 2.1 years is validated. The null hypothesis is typically represented in statistics by the letter H with the subscript "0" (zero), creating the symbol H0.It is said with the sound "H-null," "H-zero," or "H-nought."The alternative hypothesis also describes the observations that were determined by the non-random cause.H1 or Ha are used to symbolize it.The assertion that will be put to the test is the alternative to the null hypothesis.It is designated as H1 and contains the parameter's value that we believe to be plausible.The test statistic, which is a number calculated from the sample data, is used to determine whether to accept or reject the null hypothesis. An example of a straightforward hypothesis is that daily consumption of sugary beverages causes obesity.An illustration of a null hypothesis is that all lilies have the same number of petals.A person will feel less worn out if they receive 7 hours of sleep as opposed to sleeping fewer.To learn more about hypotheses refer
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HELP PLEASE!!!!! i'M GIVING 30 POINTS
Answers
The intensity of the dishwasher will be 44.44 times the maximum intensity.
What is intensity of sound?
Sound intensity, also known as acoustic intensity, is defined as the power carried by sound waves per unit area in a direction perpendicular to that area. Mathematically, we can write the intensity of sound as -
[tex]\mathrm {I} =2\pi ^{2}\nu ^{2}\delta ^{2}\rho c[/tex]
Given is the sound intensity as measured in decibels and its measurement for a dishwasher is 37 decibels.
The given formula is -
db = 10 log(I/I₀)
Substituting the values, we get -
37 = 10 log(I/I₀)
log(I/I₀) = (37/10)
log(I/I₀) = (37/10)
(I/I₀) = e ^ (37/10)
I/I₀ = 40.44
I = 40.44I₀
Therefore, the intensity of the dishwasher will be 44.44 times the maximum intensity.
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The first three terms of an arithmetic sequence are as follows 33,25,17 what’s the next two terms of this sequence
Answers
The next two terms of the given given sequence are 9, 1 if the first three terms of arithmetic sequence are 33, 25, 17.
An arithmetic sequence has a constant difference (d) and is defined by
a(n) = a(1) + (n-1)d ----------- (1)
Here a(1) = 33, a(2) = 25, a(3) = 17
d = a(2) - a(1)
d = 25 - 33 = -8
Substitute the values in (1)
a(n) = 33 + (n-1)(-8)
a(n) = 33 - 8n + 8
a(n) = -8n + 41 ------------- (2)
We have to find a(4) and a(5)
Substitute n = 4 in (2), we get
a(4) = -8(4) + 41 = -32 + 41 = 9
Substitute n = 5 in (2), we get
a(5) = -8(5) + 41 = -40 + 41 = 1
Hence the next two terms are 9, 1.
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Question 2 of 6
A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total
charge for renting a truck for a certain number of hours. What is the value of the function for an input
of 4, and what does it represent?
Of(h) 50h + 10
=
$210, which is the total charge in dollars for renting 4 trucks
Of(h) = 50 - 10h
$40, which is the total charge in dollars for renting a truck for 4 hours
f(h) = 50h - 10
$190, which is the total charge in dollars for renting 4 trucks
Of(h) = 50+ 10h;
$90, which is the total charge in dollars for renting a truck for 4 hours. PLEASE HELP
Answers
50 + 10h
$90 which is the total charge in dollars for renting a truck for 4 hours
What is the value of the function for an input of 4 and what does it represent?
The value of the input (x) of 4 is the amount of hours rented, which is the variable that can change.
Step by step
your equation is
y = mx + b
y is your total paid
m is your rate
x is your x hours rented variable
b is your y intercept, your fixed cost
y = $10x + $50 (or $50 + 10x same thing)
When you substitute 4 hours in for x you get
y = $10 (4) + $50
y = $40 + $50
y = $90
So the last answer is correct
Your x value is how many hours you rent and your output is your varied cost which is dependent on your x value. When your x value changes it directly affects your y value.
your input
Directions are with the pic below. Please help with question #1.
Answers
Solution:
Let each cubic block be represented with x
Let each spherical block be represented with y
Let each cylindrical block be represented with z
For A,
3x + y = 2y + z
For B,
3x = 5y
For c,
We want to find 3x + 3y
From
3x + y = 2y + z
3x +y -2y =z
3x-y = z-----------------------(m)
From B,
3x = 5y
Substitute 3x = 5y into (m) above
3x-y = z
5y-y = z
4y = z----------------------------------(b)
From C,
3x + 3y = 5y + 3y = 8y
3x + 3y = 2(4y)
3x + 3y = 2z
Recall, z = cylindrical block
The two blocks that will balance C is cylindrical block
solve the following problems by writing a proportion. a) what is 70% of 4b) 5 is what percent of 20?
Answers
We have in a) that
[tex]\begin{gathered} 70\cdot\text{ }\frac{4}{100}\text{ = }\frac{\text{70 }\cdot\text{ 4}}{100} \\ =\text{ 2.8} \end{gathered}[/tex]So the answer for a) is 2.8
Now in b) we have that
[tex]5\cdot\text{ }\frac{100}{20}\text{ = 25}[/tex]So the answer for b) is 25%.
PLS ANSWER FAST!!! A triangle has coordinates R(2,−1),S(3,3), and T(4,6). The triangle is dilated by a scale factor of 1.5 with the origin as the center of dilation. What is the x-coordinate of R′ in the dilated triangle?
Answers
The x-coordinate of point R′ after dilation is 3
How to determine the x-coordinate of R′ after dilation?The given parameters are:
R(2,−1),S(3,3), and T(4,6).
The scale factor of dilation is given as
Scale factor = 1.5
Mathematically, this transformation can be represented as
(x, y) = 1.5(x, y)
When represented as a function, we have
Image = 1.5 * Point
For point R, we have
R = (2, -1)
Substitute the equation Point = (2, -1) in the equation Image = 1.5 * Point
So, we have the following equation
R' = 1.5 * (2, -1)
Evaluate the product
R' = (3, -1.5)
Remove the y-coordinate
R'x = 3
Hence, the image of the x cooridnates is 3
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Simplify. I^61
(I is invisible number)
PLEASE HELP
Answers
After simplifying i^61 we get the answer is i
Define Complex number
Every complex number may be represented in the form a + bi, where a and b are real numbers. A complex number is an element of a number system that extends the real numbers with a specific element labelled i sometimes known as the imaginary unit, and satisfying the equation i² = 1.
We have the given expression : i ^ 61
Rewrite it,
i ^ 61 as (i^4)^15 * i
we know, i² = -1
so, i ^ 4 = i² * i² = -1 * -1 = 1
so, put i ^ 4 value,
⇒1^15 * i
power 1 to the 15 is 1,
⇒1 * i
⇒ i
Hence, the answer is ' i '
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only fill in the missing ones pls
Answers
The input and output is follows,
4 4 * 20 + 40
17 18 * 20 + `70
t t+1 * 20 + (t * 10)
What is patterns in math?The arithmetic pattern is also known as the algebraic pattern.A numerical pattern is a sequence of numbers that has been created based on a formula or rule called a pattern rule.Pattern rules can use one or more mathematical operations to describe the relationship between consecutive numbers in the pattern.How to Recognize Patterns :
Actively Look for PatternsOrganize the PiecesQuestion the DataVisualize the DataImagine New PossibilitiesTherefore,
From given question the first no is just next number of input that is input +1i.e.. input number is 2 then the first number of output is 2+1 = 3
Second number of output is constant 20.Third number of output is input value * 10i.e. . input number is 2 then the third number of output is 2 * 10 = 20
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Please help me
I have a math HW that needs to be solved asap but I have lots of things on my hands right now. Thank you
Answers
For first, ∠J=55°, ∠L=55°, ∠K=70°. For second, ∠T=34°, ∠S=34°, ∠R=112°,
For third, AB=5, BC=10, AC=10. For fourth, XY=29, XZ=48, YZ=29
What is isosceles triangle?An isosceles triangle definition states it as a polygon that consists of two equal sides, two equal angles, three edges, three vertices and the sum of internal angles of a triangle equal to 180°.
For 1,
in ΔKJL,
KJ=KL
So,
∠J=∠L
∠J=180-125
∠J=55°
∠L=55°
∠K=180-(55+55)
∠K=70°
For 2,
in ΔRST,
RS=RT
So,
∠T=∠S=3x-2
3x-2+3x-2+9x+4=180°
15x=180°
x=12
∠T=3x-2=34°
∠S=3x-2=34°
∠R=9x+4=112°
For 3,
in ΔABC,
AC=BC
So,
3x+4=10
3x=6
x=2
AB=x+3=5
BC=10
AC=3x+4=10
For 4,
in ΔXYZ,
XY=YZ
So,
4x+1=29
4x=28
x=7
XY=4x+1=29
XZ=7x-1=48
YZ=29
For first, ∠J=55°, ∠L=55°, ∠K=70°.
For second, ∠T=34°, ∠S=34°, ∠R=112°,
For third, AB=5, BC=10, AC=10.
For fourth, XY=29, XZ=48, YZ=29
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Kylie has ten chocolate squares.
His friend Allison takes three of them.
What fraction of chocolate did Kylie give his friend?
Answers
3/10ths if im not wrong
Points A(-1, 2) and B(5,8) are the endpoints of AB. What are the coordinates of point C on AB such that AC is 2/3 the length of AB
Answers
The coordinates of point C on AB such that AC is 2/3 the length of AB is (2,0)
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).
To find out how long AC is, we must first find the length of AB.
According to Pythagoras’ theorem,
[tex]a^2 + b^2 = c^2[/tex].
Thus [tex]4^2 + 6^2 = c^2[/tex].
[tex]16 + 36 = c^2[/tex].
The square root of this is;
c = √52.
AB is 7.21 units long.
2/3 of 7.21 is 4.8
The coordinate that fits this is (2,0).
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oan, omb, apb and mpn are straight lines and an = 3oa. m is the midpoint of ob. oa = a ов = b ap = kab where k is a scalar quantity. express ab and mn in terms of a and b. express mp in terms of a, b and k. finally, find the value of k.
Answers
The values of the vectors of AB = b - a , MN = 29a - b/2 and MP = b/2 + (k + 1)( b - a)
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
We have been given that OB = b and OA = a
From ΔAOB we have;
OB + BA + AO = 0
b + (- AB ) -a = 0
AB = b - a
Now from ΔMNO we have;
MN + NO + OM = 0
MN + ( -ON) + OB/ 2 = 0
MN - (OA + AN ) + b/2 = 0
MN - ( a + 30a) + b/2 = 0
MN = 29a - b/2
Now from ΔMBP , we have;
MB + BP + PM = 0
OB/2 + (BA - PA) + PM = 0
b/2 + ( - AP/k + AP) + PM = 0
b/2 + ( -kAB /k + kAB) + PM = 0
b/2 + ( k AB + AB ) + PM ) = 0
PM = -b/2 - (k + 1) (b - a)
MP = b/2 + ( k+1) (b - a)
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can you explain each step please for i can write it on a paper along with you
Answers
The two groups are given one is those who are studied and other is those who are not studied.
Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.
Arrange in order.
79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100
The mean of this group is
[tex]\frac{88+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+84}{18}[/tex][tex]\frac{1667}{18}=92.6[/tex]The mean is 92.6.
The median of this group is
Use the median formula for even
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}^{}}{2}[/tex]Substitute the value of n =18
[tex]m=\frac{(\frac{18}{2})^{th}+(\frac{18}{2}+1)^{th}^{}}{2}=\frac{9^{th}+10^{th}^{}}{2}[/tex][tex]m=\frac{93+94}{2}=93.5[/tex]The median is 93.5.
The mode of this group is 100 as it is appears 3 times .
The another group is not studied group.
Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.
Arrange in order-
45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91
The mean is determined as
[tex]\frac{82+72+45+91+58+83+65+87+90+77+73+89}{12}=\frac{912}{12}=76[/tex]The median is determined as
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}[/tex]Substitute n=12.
[tex]m=\frac{(\frac{12}{2})^{th}+(\frac{12}{2}+1)^{th}^{}}{2}=\frac{6^{th}+7^{th}}{2}=\frac{77+82}{2}=79.5[/tex]There is no mode.
So, from the all the data given.
The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.
[tex]92.61-76=16.61[/tex]The median of the group that did not studied is less than 80.
In general , those students that studied scored much higher than those students that did not study.
The correct options are a , c and e.
is -3.5 greater than 17/5
Answers
Answer:
no
Step-by-step explanation:
- 3.5 is a negative number.
17/15 is a positive number.
Note : -
Always positive numbers are greater than negative numbers.
A Large bag contains 7/12 pound of nails. How many 1/4 pound bags can be filled with this amount of nails?
Answers
The number of 1/4 pound bags that can be filled with this amount of nails is 2 1/3 bags.
How to calculate the fraction?The large bag contains 7/12 pound of nails.
We also want to fill them into 1/4 pounds of bags. The number of bags needed will be calculated through division. This will be:
= Amount in large bags / Smaller bags
= 7/12 ÷ 1/4
= 7/12 × 4/1
= 28/12
= 2 1/3
Therefore, 2 1/3 1/4 bags are required
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Please help me write a 1 page story explaining the identified above.
Answers
Blaise Pascal and Pierre de Fermat, two eminent mathematicians, exchanged correspondence in the middle of the 17th century that provided the groundwork for probability and altered how scientists and mathematicians regarded uncertainty and risk.
Who established the odds for dice games in 1560?The issue with the Duke of Tuscany (1560)
The Duke of Tuscany was a constant competitor. He had noticed that number 10 frequently occurred over number 9 in a game where three dice are tossed and the points are added. De Duke, however, asserts that there are six different ways to generate both figures.
What dice game is the oldest?Pyramidal dice (four-sided), which date back to Summer in the third millennium bce, are just as old as cubical dice. These dice were discovered alongside the so-called Royal Game of Ur, one of the oldest complete board games ever uncovered.
In his book A Pocket Guide to Dice & Dice Games, Keith Souter develops the Sir Farkle theory and fixes Iceland as the setting and the year as 1492.
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write the equation of a line through ( 3, 1), parallel to y = 2/3x + 1.
Answers
Answer:
y = 2/3 x - 1
Step-by-step explanation:
Parallel slopes are equal.
y = mx + b
m = 2/3
x = 3 Use the x and y given in the point (3,1)
y = 1
Solve for b the y-intercept
y = mx + b
1 = 2/3(3) + b
1 = 2 + b Subtract 2 from both sides
-1 = b
y= mx +b
y = 2/3x -1
to be parallel, you need the same slope but to pass through the point ( 3, 1), you would need a different y- intercept.
my tutors keep getting cut off due to connection and i need help!!
Answers
Let:
(x1,y1) = (0,4)
(x2,y2) = (4,0)
The slope m is:
[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1}=\frac{0-4}{4-0}=\frac{-4}{4}=-1 \\ \end{gathered}[/tex]Using the point slope equation:
[tex]\begin{gathered} y-y1=m(x-x1) \\ y-4=-1(x-0) \\ y=-x+4 \\ \text{ In standard form:} \\ x+y=4 \end{gathered}[/tex]The value of 4 + n when n = 17
Answers
Answer:
21Step-by-step explanation:
The value of 4 + n when n = 17
4 + n =
replace n with 174 + 17 = 21
5. aviation due to a storm, a pilot flying at an altitude of 528 feet has to land. if he has a horizontal distance of 2000ft until the landing strip, what angle of depression should he use to land? round to the nearest tenth of a degree.
Answers
A pilot who is flying at a height of 528 feet must land because of a storm. 14.78° angle of depression should he utilize to land.
Given that,
A pilot who is flying at a height of 528 feet must land because of a storm.
We have to find what angle of depression should he utilize to land if the distance between him and the landing strip is 2000 feet horizontally.
In the right angle triangle:
TanΘ=Opposite side/ adjacent side
The opposite side is 528 feet.
The adjacent side is 2000 feet.
Then,
TanΘ=528/2000
TanΘ=0.264
Θ=Tan⁻¹(0.264)
Θ=14.78°
Therefore, 14.78° angle of depression should he utilize to land.
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Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation. Provide your answer below:
Answers
Questiobn Translate and solve: 46 less than y is at least-184. Give your answer in interval notation.
Algebraic expression is equal to
[tex]y-46\ge184[/tex]Solve for y
[tex]\begin{gathered} y-46\ge184 \\ y\ge184+46 \\ y\ge230 \end{gathered}[/tex]The solution for y is the interval {230, infinite)This question has two parts. First, answer Part A. Then, answer Part B.
part B :
Answers
The length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft
What is Pythagoras theorem?According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -
h² = p² + b²
Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.
[A]
From the data given, we can consider the ramp construction as right angled triangle. We can write -
base [b] = 12 ft
height [p] = 1 ft
Using the Pythagoras theorem -
h² = (12 x 12) + (1 x 1)
h² = 144 + 1
h = √145
h = 12.0415
[B]
For estimating the length of the incline, we will round it off to the exact value. The rounding of length for zero digits after decimal will give the desired result as 12 ft
Therefore, the exact length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft
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[ This answer is the answer of part B of the question whose part A is attached with the answer.]
Hello I'm trying to figure out this math problem can anyone help me
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
Earnings:
January = $2350
February = january + $500
March = twice as much (february)
Step 02:
March's earnings:
February = $2350 + $500 = $2850
March = 2 * $2850 = $5700
The answer is:
She earned $5700 in March
Use the frequency polygon to work out an estimate for the mean rounded to 1 DP
Answers
Considering the given frequency polygon, the mean of the distribution is of:
E(X) = 57.1.
Frequency polygonThe frequency polygon works similarly to an histogram, giving the number of times that each observation happens, with the dot being placed at the center of each interval.
Considering the given polygon, the absolute frequencies are given as follows:
X = 40: 10.X = 52.5: 7.X = 65: 8.X = 77.5: 2.X = 90: 3.The sum of the absolute frequencies is given as follows:
10 + 7 + 8 + 2 + 3 = 30.
Hence the relative frequencies = probabilities are given as follows:
P(X = 40) = 10/30 = 1/3 = 0.3333.P(X = 52.5) = 7/30 = 0.2333.P(X = 65) = 8/30 = 0.2667.P(X = 77.5) = 2/30 = 0.0667.P(X = 90) = 3/30 = 0.1.The mean is given by the sum of each outcome multiplied by it's probability, hence:
E(X) = 40 x 0.3333 + 52.5 x 0.2333 + 65 x 0.2667 + 77.5 x 0.0667 + 90 x 0.1 = 57.1.
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Which answer is equivalent to
OA.
B. √
(4
OB.
C.
16
49
D.
16
49
3/16
349
√16
(49
?
Answers
A value that, when multiplied by itself, yields the number is the square root of a number.
The expression which is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex] is 16/49.
What is meant by square root?A radical symbol is used to represent a square root; the number or expression included within the radical symbol, designated by the letter a below, is known as the radicand.
A value that, when multiplied by itself, yields the number is the square root of a number. The radical symbol for the number's root is "√" in this instance. The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number.
Therefore, the correct answer is option A. [tex]$\frac{16}{49}$[/tex]
The complete question is:
Which answer is equivalent to [tex]$\frac{\sqrt{16}}{\sqrt{49}}$[/tex]?
A. [tex]$\frac{16}{49}$[/tex]
B. [tex]$\frac{\sqrt{4}}{\sqrt{7}}$[/tex]
c. [tex]$\sqrt{\frac{16}{49}}$[/tex]
D. [tex]$\frac{\sqrt[3]{16}}{\sqrt[3]{49}}$[/tex]
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