Answers
Answer: option c
Step-by-step explanation:
By definition, if you have:
[tex]\sqrt[n]{x}[/tex]
you can rewrite it has following:
[tex]x^{\frac{1}{n}}[/tex]
Therefore, keeping the above on mind, you can rewrite the expression given in the problem, as you can see below:
[tex]15x^{\frac{1}{3}}y^{\frac{1}{5}}=(15\sqrt[3]{x})(\sqrt[5]{y})[/tex]
Both terms are multiples of 15, then take the 15th root of both and multiply the exponents by 15. Therefore you obtain:
[tex]15\sqrt[15]{x^5y^3}[/tex]
The answer is:
c. [tex]15\sqrt[15]{x^{5}y^{3}}[/tex]
Why?To express the expression using a radical we must remember that:
Transforming radical to exponential form:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]
So, the given expression is:
[tex]15x^{\frac{1}{3}}y^{\frac{1}{5}}[/tex]
Its radical form will be:
[tex]15\sqrt[3]{x}\sqrt[5]{y}[/tex]
Then, the expression could be also equivalent to:
[tex]15\sqrt[3]{x}\sqrt[5]{y}=15\sqrt[15]{x^{5}}\sqrt[15]{y^{3}}\\\\15\sqrt[15]{x^{5}}\sqrt[15]{y^{3}}=15\sqrt[15]{x^{5}y^{3}}[/tex]
Have a nice day!
Related Questions
Based on the trend in the approximately how many free throws would a player be expected to make if he attempted 60 free throws
Answers
Hopefully that was helpful
To gauge how many free throws a player would make out of 60 attempts, we need to know the player's free throw success rate. Assuming similar conditions to the example given where Carlos, the soccer player has a success rate of 65%, the basketball player would make approximately 39 successful free throws from 60 attempts.
Explanation:
The question seems to be asking how many free throws a player would be expected to make if he attempted 60 free throws. The missing information here would be the player's free throw success rate which isn't provided. However, let's use the example of Carlos from college soccer as an analogy; if Carlos has a success rate of 65%, then for every 100 attempts, he would make 65 goals. Now if the basketball player followed the same trend and had a success rate of 65%, and he attempted 60 free throws, we would calculate 65% of 60. This equals 39, therefore we would be expecting the player to make approximately 39 free throws.
Learn more about Statistical Probability here:https://brainly.com/question/30448794
#SPJ3
£2300 is invested in 4 years at 5% per year simple interest
work out the total interest
Answers
Answer:
the answer i got was £46,000
Step-by-step explanation:
how i got this answer was that i multiplied £2300 • 5 and got £11,500 then i multiplied £11,500 • 4 and got £46,000
i hope this helps you.
The solution to which inequality is shown?
Answers
Answer: A
Step-by-step explanation:
It’s going right which means that it must be greater. And so it would be greater than -2.
Answer:
A y+5 > -2
Step-by-step explanation:
We have an open circle at -7. An open circle means greater than
y >-7
We want to add 5 to each side since all of our inequalities have +5 on the left
y+5 > -7+5
y+5 > -2
Plot and connect the points A (-4, -5), B (-2, -3), C (4, -3), D (6, -2), E (6, 6), F (-1, 6), G (-4, 2), and find the length of EF.
Answers
Answer:
Its 3 triangles that are connected!
Step-by-step explanation:
The 3 points of the FIRST TRIANLE (closest to the left side of the page) has the points of -4, 2 and -4, -5 and -2, -3.
The 2 points of the SECOND TRIANGLE(connected to the first triangle and third triangle,.... and the third triangle makes the second triangle possible!!) and the points are -2, -3 and -1, -6
The 4 points to the THIRD TRIANGLE (The closest to the right side of the page) the points are 6, 6 and 6, -2 and 4, -3 and 1, -6
Answer: 7 units
Step-by-step explanation: Because when you plot (6,6) and(-1,6) you make a line that is 7 units long. Hope this helps if you have the same question i did :)
What function is shown in the graph?
A) y = -2x
B) y = 2-x
C) y = 2x – 5
D) y = 2x – 5
Answers
Answer:
D) y-2x-5
Step-by-step explanation:
Answer:
[tex]y=-2^x[/tex]
Step-by-step explanation:
The parent function of the given graph is y=2^x because all the given options have basic exponent 2^x
LEts take the basic function as [tex]y=a(2)^x[/tex]
To find the value of 'a', pick a point from the given graph
LEts pick (0,-1), plug in the values and find out 'a'
[tex]y=a(2)^x[/tex]
[tex]-1=a(2)^0[/tex]
a=-1
The equation becomes
[tex]y=-1(2)^x[/tex]
[tex]y=-2^x[/tex]
The parent function f(x) = x3 is translated to form g(x), as shown on the graph. The translated function can be written in the form
g(x) = (x – h)3 + k.
Answers
Answer: First option
Step-by-step explanation:
By definition, the horizontal shift depends on the value of h and the vertical shift depends on the value of k.
[tex]f(x)=(x-h)^3[/tex] indicates that the function if shifted to the right h units.
[tex]f(x)=(x+h)^3[/tex] indicates that the function if shifted to the left h units.
[tex]f(x)=f(x)-k[/tex] indicates that the function if shifted down k units.
[tex]f(x)=f(x)+k[/tex] indicates that the function if shifted up k units.
Then:
If h is positive, the graph will shift to the right.
If k is negative, the graph will shift down.
As you can see in the graph, the function is shifted 4 units to the right and 2 units down. Therefore g(x) has the form:
[tex]g(x)=(x-4)^3-2[/tex]
Where:
[tex]h=4\\k=-2[/tex]
Answer:
A
Step-by-step explanation:
edge 2021
How many gallons can the container hold?
Answers
Answer:
The container holds about 11.25 gallons.
Step-by-step explanation:
I think a container holds about 11.25 gallons.
A kite has a string tired to its center. The kite is let out on 90ft of the string and the other end of the string is held at 4ft above the ground. From where the string is held, the angle of elevation to the center of the kite is 40°. If you maintain the same angle of elevation from where the string is held, how much more string would you need to let out for the kite to fly 10ft higher? Round to the nearest tenth of a foot.
Answers
Length of more string needed to fly the kite 10 feet higher is 15.55 ft.
What is angle of elevation?The angle of elevation is the angle between the horizon and the line of sight. If the line of sight is above the horizon, the angle formed is the elevation angle.
Given,
Height of the string above the ground = 4 feet
Angle of elevation = 40°
length of the string = 90 ft
sin 40° = x/90
0.643 = (x)/90
x = 57.87 ft
For 10 ft higher, let the length be 90 + y
sin 40° = (57.87 + 10)/(90 + y)
0.643 = (57.87 + 10)/(90 + y)
57.87 + 0.643y = 57.87 + 10
0.643y = 10
y = 10/0.643
y = 15.55 ft
Hence, 15.55ft more string is needed to let out kite to fly 10 ft higher.
Learn more about angle of elevation here:
https://brainly.com/question/21137209
#SPJ2
Final answer:
To find the extra string needed to raise the kite by 10ft, we can use trigonometry and set up an equation based on the sine function. By plugging in the values and solving the equation, we find that you would need 37.7ft of extra string.
Explanation:
To find how much more string you would need to let out for the kite to fly 10ft higher, we can use trigonometry. First, let's find the height of the kite above the ground when 90ft of string is let out. We can use the sine function: sin(40°) = height / 90ft. Rearranging the equation, we find height = sin(40°) * 90ft = 57.7ft. Now, to find the extra string needed to raise the kite by 10ft, we can set up a similar equation: sin(40°) = (height + 10ft) / (90ft + x), where x is the extra string. Rearranging the equation, we get x = ((height + 10ft) / sin(40°)) - 90ft. Plugging in the values, we have x = ((57.7ft + 10ft) / sin(40°)) - 90ft = 37.7ft.
Solve. x2 – 5x + 6 = 0 {5, –1} {3, –2} {2, 3} {–2, –3}
Answers
Answer:
{2, 3}
Step-by-step explanation:
[tex] x^2 – 5x + 6 = 0 [/tex]
Factor the left side.
[tex] (x - 3)(x - 2) = 0 [/tex]
[tex] x - 3 = 0 [/tex] or [tex] x - 2 = 0 [/tex]
[tex] x = 3 [/tex] or [tex] x = 2 [/tex]
Answer: {2, 3}
How do you want us to solve it?
The volume of a cube is 1,000 cubic meters. What is the lenght of each side of the cube
Answers
Answer:
10 cubic meters^3
Step-by-step explanation:
10*10*10=1000 cubic meters
If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?
A: y = -20x B: y = -5x C: y = -20/x D: y = -5/x
Answers
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x}{2},\stackrel{y}{-10})~~ \textit{we know } \begin{cases} x=2\\ y=-10 \end{cases}\implies -10=k2\implies \cfrac{-10}{2}=k\implies -5=k \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill y=-5x~\hfill[/tex]
15 feet to 33 ft percent of change
Answers
Answer:
120%
Step-by-step explanation:
See how much % of 15 and increase to 33 is.
33 - 15 = 18, so there is a change of 18 feet.
18/15 = 1.2
1.2 is 120% as a percent. So there is a 120% change from 15 to 33
Final answer:
The percent of change from 15 feet to 33 feet is found by dividing the difference between the values by the original value and then multiplying by 100, which results in a 120% change.
Explanation:
To calculate the percent of change from 15 feet to 33 feet, first, find the difference between the two values. The difference is 33 feet - 15 feet = 18 feet. Then, divide this difference by the original value (15 feet) and multiply the result by 100 to get the percentage. Thus, the percent of change is (18 feet / 15 feet) × 100 = 120%.
Find k so that the equation 9x^2 +12x+k =0 has one real number (double) root.
Answers
For one real (double) root, set discriminant [tex]\( \Delta \)[/tex] to zero: [tex]\( 144 - 36k = 0 \)[/tex]. Solve to get [tex]\( k = 4 \)[/tex].
To find the value of [tex]\( k \)[/tex] so that the equation [tex]\( 9x^2 + 12x + k = 0 \)[/tex] has one real number (double) root, we use the discriminant [tex](\( \Delta \))[/tex] of the quadratic equation. For a double root, [tex]\( \Delta = 0 \)[/tex].
The discriminant is given by [tex]\( \Delta = b^2 - 4ac \)[/tex], where [tex]\( a = 9 \)[/tex], [tex]\( b = 12 \)[/tex], and [tex]\( c = k \)[/tex].
Substitute these values into the discriminant formula:
[tex]\[ \Delta = (12)^2 - 4(9)(k) \][/tex]
[tex]\[ = 144 - 36k \][/tex]
For a double root, [tex]\( \Delta = 0 \)[/tex], so:
[tex]\[ 144 - 36k = 0 \][/tex]
[tex]\[ 36k = 144 \][/tex]
[tex]\[ k = \frac{144}{36} \][/tex]
[tex]\[ k = 4 \][/tex]
Therefore, [tex]\( k = 4 \)[/tex] to have one real number (double) root.
Suppose a wild fire is doubling in size every 6 hours. If the initial size of the fire was 1 acre, how many acres will the fire cover in 2 days?
Answers
Step-by-step explanation:
2 days= 24 hours in 1 day, so multiply that by 2 to get 48 hours total.
Now find the amount of time the wild fire doubles by dividing 48 total hours by 6. So it will double 8 times
The size was 1 acre. Let's multiply by 2, 8 times
1
2
4
8
16
32
64
128
The fire will cover 128 acres in two days.
The wildfire, which is doubling every 6 hours, would cover 256 acres of land over a two day period.
Explanation:The problem involves exponential growth, which is a concept in mathematics where a quantity increases exponentially over time. According to the problem, the size of the fire is doubling every 6 hours. So, we have 24 hours in a day, and two days would give us 48 hours.
Now, divide the total hours (48) by the hours it takes for the fire to double in size (6), we get 8. This is the number of times the fire doubles in size over a 2 day period.
Since the fire was initially 1 acre, after 8 doubles or in 2 days, it would cover 28 or 256 acres of land.
Learn more about exponential growth here:https://brainly.com/question/12490064
#SPJ3
9 is 15% of what number? Enter your answer in the box
Answers
Answer:
60
Step-by-step explanation:
Is means equals and of means multiply
9 = 15% * N
Change to decimal form
9 = .15 N
Divide each side by .15
9/.15 = .15N/.15
60 = N
Answer: hi the answer is 60 hope i helped
Step-by-step explanation:
What is the difference between 8x3 – 2x2 + 5x – 7
and 5x3 – 3x2 – 2x + 4?
Answers
Answer:
First polynomial minus the second polynomial:
3 x³ + x² + 7 x - 11.
Step-by-step explanation:
The question asks for the difference between the two cubic polynomials (maximum power of x is three.) As the other answerer mentioned, the question doesn't say anything about the value of x. In that case, the difference between the two polynomials will still be a polynomial about x.
The power x in the difference can be as high as three. Assume that to be a cubic polynomial.
? x³ + ? x² + ? x + ?.
What are the values of each coefficient?
For example, the coefficient in front of x³ in the difference is the difference between the coefficients of x³ in the two original polynomials.
The coefficient of x³ in the first polynomial 8 x³ - 2 x² + 5 x - 7 is 8.The coefficient of x³ in the second polynomial 5 x³ - 3 x² - 2 x + 4 is 5.Subtract the second coefficient from the first. 8 - 5 = 3. In other words, 3 is the value of the x³ coefficient in the difference.
3 x³ + ? x² + ? x + ?.
Repeat this step for the x² and x coefficients.
x²: -2 - (-3) = -2 + 3 = 1.x: 5 - (-2) = 5 + 2 = 7.3 x³ + x² + 7x + ?.
The constant in the difference is the difference between the two constants.
-7 - 4 = -11.
Hence the difference:
3 x³ + x² + 7x - 11.
Alternatively, group the terms by the power of x:
(8 x³ - 2 x² + 5 x - 7) - (5 x³ - 3 x² - 2 x + 4)
= (8 x³ - 5 x³) + (-2 x² + 3 x²) + (5 x + 2 x) + (-7 - 4)
= 3 x³ + x² + 7 x - 11.
what is the frequency of a wave if the wavelength is 100 m and the speed is 200 m/s?
A. 2 Hz
B. 100vHz
C. 0.5 Hz
D. 200,000 Hz
Answers
The frequency is 2Hz
Step-by-step explanation:Using the formula
Wavelength = speed / FrequencyArranging the equation
Frequency = Speed / Wavelength
Frequency = 200 / 100
Frequency = 2 Hz
2+2*0=2 WHY.............
Answers
➷ Following the rule of PEMDAS, you would do the multiplication first
2* 0 = 0
2 + 0 = 2
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
Step-by-step explanation:
DMAS rule
Division
Multiplication
Addition
Subtraction
So 2 would be multiplied by o first then added to 2 thats why 2+2*0=2
Hope this helps :)
Plz help !!!!!!!!!!!!!
Answers
Answer: d) 4
Step-by-step explanation:
[tex]\bigg(-\dfrac{2}{5}x\bigg)(5y)(-2x)\\\\\\=\bigg(-\dfrac{2}{5}\bigg)(5)(-2)\cdot x^2y\\\\\\=(-2)(-2)\cdot x^2y\\\\=4\cdot x^2y[/tex]
WILL GIVE BRAINLIEST ANSWER !! NEED HELP QUICK !!
Let P represent the statement "Jack goes camping this weekend."
Let Q represent the statement "Jack plays golf this weekend."
Which symbolic notation represents the statement "If Jack goes camping this weekend, then he will not golf." ?
A. p→~q
B. ~p→q
C. ~p→~q
D. p∧~q
Answers
Answer:
its letter A
Step-by-step explanation:
Plzzzzzzzzzz help me ??????
Answers
Answer: 600
Step-by-step explanation:
1943 rounded to the nearest hundred= 1900
1280 rounded to the nearest hundred= 1300
1900-1300=600
What type of triangle would have these angle measures?
Answers
Answer:
Right triangle
Step-by-step explanation:
because it has one 90 degree angle
Step-by-step explanation:
It's a RIGHT TRIANGLE because one of the angles has measure 90°.
Equilateral triangle has every angle with the same measure of 60°.
Isisceles triangle has two equal angle with the same measure.
Hey I need help with this maths question
Answers
Answer:
X=4
Step-by-step explanation:
2X - 10 = -2
2X = 8
X = 8/2
X = 4
Best regards
Answer:
x=4
Step-by-step explanation:
2x-10= -2
add 10 to -2
which makes it 2x= 8
then divide by 2
x=4
A set of data has a high-value outliner. How do you expect the standard deviation to change when the outliner is removed? Would the result be different if the data had a low-value outliner instead? Explain
Answers
Answer:
type in decreased|TA i promise it will work
Step-by-step explanation:
trust bro trust
{decreased|TA}
In short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.
Given that, a set of data has a high-value outliner.
What is an outliner?In simple terms, an outlier is an extremely high or extremely low data point relative to the nearest data point and the rest of the neighboring co-existing values in a data graph or dataset you're working with. Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph.
When you have an outlier that is higher then the bulk of the data, the standard deviation is larger then it would be without the outlier. If the outlier was lower than the bulk of data, then the standard deviation would again be larger then it would be without the outlier and the mean would go down when the outlier is removed. Where it differs is the fact that removing the outlier would result in an increase of the mean instead of a decrease.
Therefore, in short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.
Learn more about an outlier here:
https://brainly.com/question/26958242.
#SPJ6
Bowl X holds 494 pennies and bowl Y hold 324 pennies how many pennies should be moved from bowl X to bowl Y to make the number of pennies in each Bowl equal ?
Answers
170 the answer isn't therr
HELP FAST PLS!!!!!!!!!(will give 50 points to who answers correctly oh and dont answer fake answers i typed soo hard to do this)
Part A
The Roberts family is planning to purchase an above-ground pool for their backyard. There are three different rectangular models that they are looking at.
Model A:This pool has a length 18 feet and a width of 9 3/4 feet. The maximum depth of water is 4 1/2 feet.
Model B:this pool has a length of 16 feet and a width of 10 feet. The maximum depth of water is 5 feet.
Model C:This pool has a length of 15 feet and a width of 12 feet. The maximum depth of water is 4 1/2 feet.
One of the factors that the Roberts family is considering is how much water is needed to completely fill up the pool.
Question #1
Of the three pools described, Model __ needs the smallest amount of water to be completely filled.
A. Model A
B. Model B
C. Model C
Question #2
Of the three pools described, Model __ needs the largest amount of water to be completely filled.
A. Model A
B. Model B
C. Model C
(there is a difference dont ignore this read it)
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Part B
The Roberts family is planning to purchase an above-ground pool for their backyard. There are three different rectangular models that they are looking at.
Model A:This pool has a length 18 feet and a width of 9 3/4 feet. The maximum depth of water is 4 1/2 feet.
Model B:this pool has a length of 16 feet and a width of 10 feet. The maximum depth of water is 5 feet.
Model C:This pool has a length of 15 feet and a width of 12 feet. The maximum depth of water is 4 1/2 feet.
All three models require a liner that runs along the sides and bottom of the pool. Another factor that the Roberts family is considering is the size of this liner. Hint: The pool is a rectangular prism. What is the formula for the surface area of this shape?
Question #1
Of the three pools described, Model __ uses the smallest liner.
A. Model A
B. Model B
C. Model C
Question #2
Of the three pools described, Model __ uses the largest liner.
A. Model A
B. Model B
C. Model C
Part C (picture 1 or red roof)
A large mall is built in the shape of a square. At each corner of the mall stands a pillar which is topped by a pyramid-shaped section of red tin roof, as shown in the picture below.
The pyramid is a square pyramid, measuring 21.5 feet on each of its base edges. The height of each of the triangular lateral face is 13.4 feet. Use this information to answer the following questions.
Question #1
If you drew the net of this pyramid, the net would contain __ congruent triangular faces.
A. Two different pairs of
B. Three
C. Four
Question #2
How many square feet of red tin roof does each pillar contain? [Type your answer as a number. Do not round.]
__________ square feet (for this one no choices just do it)
Question #3
One of the roofers claims that the roof area of each pillar is the same as the area of a square with edges of 21.5 feet. The roofer is ______.
A. Correct
B. Incorrect
Part D (picture 2 or white roofed tent like house)
The following house is called an A-frame house because it looks like the letter A from the front.
Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards. Use this information to answer the following questions.
Question #1
What is the area of the roof? [Type your answer as a number. Do not round.]
_______ square yards
Question #2
What is the outside surface area of this house? Type your answer as a number. Do not round.]
______square yards
Question #3
This A-frame house is in the shape of a ______.
A. Triangular Prism
B. Square Pyramid
C. Triangular Pyramid
D. Rectangular Prism
(thanks for answering☺☺)
Answers
Answer:
Step-by-step explanation:
1.A
2.C
1.C
2.A
1.B
2.21.45
3.A
I tried my best
16m^6n^4 4m^3n^5 2m^5n^3 greatest common factor
Answers
Answer:
2m^3n^3
Step-by-step explanation:
Final answer:
The greatest common factor of the expressions [tex]16m^6n^4[/tex], [tex]4m^3n^5[/tex], and [tex]2m^5n^3[/tex] is [tex]2m^3n^3[/tex].
Explanation:
The question is asking for the greatest common factor (GCF) of the three algebraic expressions provided: [tex]16m^6n^4[/tex], [tex]4m^3n^5[/tex], and [tex]2m^5n^3[/tex]. To find the GCF, we need to determine the highest powers of m and n that divide evenly into all three expressions.
For the variable m, the smallest exponent is 3 (in the term [tex]4m^3n^5[/tex]). For the variable n, the smallest exponent is 3 (in the term [tex]2m^5n^3[/tex]). Therefore, the GCF is [tex]2m^3n^3[/tex].
We also look at the numerical coefficients (16, 4, and 2) and find their GCF to be 2.
What is the length of the hypotenuse of right DEF shown
Answers
Answer:
50.45
Step-by-step explanation:
Pythagoras theorem
32^2 + 39^2 =x^2
1024+ 1521 =x^2
2545=x^2
[tex]\sqrt{2545} =x[/tex]
x= 50.45
The length of x is 50.44
Step-by-step explanation:According to Pythagorean theorem
Hyp² = Base² + Perp²Putting the values
Hyp² = 39² + 32²
Hyp² = 1521 + 1024
Hyp² = 2545
Taking square root on both sides we get
Hyp = 50.44
PLEASE HELP I WILL GIVE BRAINLIEST I NEED THIS ASAP
Answers
Answer:
I got this.
Step-by-step explanation:
A+B=C+D. SO YOU WANT TO DATE ME?
What expression is equivaltent to 4(2x+1)-(-6x)
Answers
Answer:
14x + 4
Step-by-step explanation:
An equivalent expression is an expression which is equal. It can be a simplified form or expanded form. Here lets simplify by using the distributive property.
4(2x+1) - (-6x)
8x + 4 + 6x
14x + 4
This is the simplified equivalent form. It can also be written in expanded form as 2(7x + 2).