Answer:
D
Step-by-step explanation:
I did the work its D on edge.
To simplify the given expression, we first simplify the fraction within the square root, performing the division of similar bases by subtracting exponents. Then, we take the square root of 64 to get 8 and obtain the final simplified expression: 8/x^2y.
Explanation:To solve the specific expression, equivalent to StartRoot StartFraction 128 x Superscript 5 Baseline y Superscript 6 Baseline Over 2 x Superscript 7 Baseline y Superscript 5 Baseline EndFraction EndRoot, we will start by simplification inside the square root bracket. Perform the division with the fractions first. As a general rule, when dividing powers with the same base, we subtract the powers.
We'll start by simplifying 128/2, which is 64. For x Superscript 5 Baseline / x Superscript 7 Baseline, subtract the exponents, which gives us x to the power of -2 (since 5-7 is -2). For y Superscript 6 Baseline / y Superscript 5 Baseline, we also subtract the exponents, which results in y to the power of 1, or simply y.
Hence, the simplified version of the fraction inside the square root is 64x^-2y. Finally, since the square root of 64 is 8, and the square root of any variable raised to the negative power is the reciprocal of the variable, our final simplified expression is 8/x^2y.
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Help :( I suck at math
Answer:
D
Step-by-step explanation:
For some side lengths to create a triangle, any two of the side lengths must have an added length together of less than the third leg. Otherwise, the vertices would simply not be able to be connected by the lines. In a), 3+5=8, but since it is not more, the triangle will not be able to be formed (it would basically just be a line.) In B, 7+8< 16. In C, there is the same situation as with the first example (4+15=19). Finally, in the last one, 5+7>12, and all of the side lengths work out. Therefore, the correct answer is D. Hope this helps!
Collins Middle School has 266 sixth grade students. If the sixth grade is 35% of the total school, how many students are in the middle school?
Answer:
93 students
Step-by-step explanation:
Answer:
266-----------35%
x----------------100%
x=(266 * 100%) / 35%= 760
There are 760 students in the middle school
Step-by-step explanation:
We solve this problem by the rule of three.
HELP 20POINTS WILLMARKBRAINLIEST!!
What is the volume of the composite figure shown below?
1,008mm.3
2,412mm.3
2,880mm.3
3,465mm.3
Answer:
2412
Step-by-step explanation:12*12*13=1872 15*12*3=540 1872+540=2412
i think of a number subtract three then multiply by four
Answer:
Step-by-step explanation:
To solve this
We have
Let the number think of b x
Three subtracted from the number will be
x-3
Then multiply by 4
4(x-3)
Open d brackets
4x-12
According to the given statement the expression will be "4x-12".
Let,
The number be "x".When "3" is subtracted from the number "x", we get
→ [tex]x-3[/tex]
and,
When "x-3" is multiply by "4", we get
→ [tex]4(x-3)[/tex]
After solving the brackets, we get
→ [tex]4x-12[/tex]
Thus the answer above is correct.
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is (0,0) a solution of the graphed inequality?
Answer:
No
Step-by-step explanation:
To dilute a cleaning product for use, 35 cl of concentrate needs to be added to 4 l of water. Heidi uses 12 l of water to make the cleaning liquid.
How much cleaning liquid has she made, in l
Answer:
13.05 l
Step-by-step explanation:
For 12 liter of water 12/4 times 0.35 l concentrate has to be added.
The total liquid volume is then
12 + 12/4 * 0.35 = 13.05
(1 cl = 0.01 l)
Answer:
3.5l
Step-by-step explanation:
3/5 of a number is 30 whats the number
Answer:
50
Step-by-step explanation:
We could call this number x in our equation. First set the equation to this
[tex]\frac{3x}{5} = 30[/tex]
Multiply on both sides to get rid of 5
now it looks like this...
[tex]3x = 150[/tex]
divide 150 by 3 and you get this
x=50
Thank me later :)
Answer:
50
Step-by-step explanation:
Let the number be X
⅗X = 30
X = 30 × 5/3
X = 50
A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12, what is:
The height of the frustum?
Answer:
5
Step-by-step explanation:
According to the question, A cone frustum is inscribed in a sphere of radius 13. If one of the bases of the frustum is a great circle of the sphere, and the other base has radius 12.We are now asked to find the height of the frustum.
---The height of this frustum is equal to the distance of its smaller base from the center of the sphere.
Therefore,it is assigned the pattern
H = √(r1² - r2²
Where r1 is the radius of the sphere
And r2 is the radius of the other base of the frustum
H is the height that we are looking for
H = √(13² - 12²)
= √( 169 - 144 )
= √ 25
H = 5
Final answer:
The height of the frustum inscribed in a sphere with a radius of 13 and one base having a radius of 12 is found to be 10 units using the Pythagorean theorem.
Explanation:
To find the height of the frustum inscribed in a sphere of radius 13, where one base is a great circle of the sphere, and the other base has radius 12, we can use geometry and Pythagorean theorem.
Consider the right triangle formed by the radius of the sphere, half of the frustum height (since the center of the sphere is midway of the frustum's height for the configuration given), and the radius of the smaller base of the frustum.
The radius of the sphere is 13, and the radius of the smaller base is 12.
Using the Pythagorean theorem (a² + b² = c²), we can find the half-height of the frustum.
So, we have:
122 + b² = 132
144 + b² = 169
b² = 25 => b = 5
Thus, the full height (h) of the frustum is 10 units.
bring the help!!!!!!!!!!!!!!!!!
the equation y=-7x-5 and another equation have a solution of (-2,9). what is the second equation?
I'm guessing there's a menu of choices to go with this one, and we just need to try (-2,9) with each choice. But it's a much more interesting problem without the menu.
First we verify (-2,9) is on the line y=-7x-5,
-7(-2)-5 = 14-5 = 9, good.
There's a whole family of possibilities for the second equation, basically all the other lines through (-2,9). Believe it or not, that's called a pencil of lines. We need two parameters a and b, whose values only matter in ratio, to represent all these. If we tried to do it with just the slope we'd miss one line, the vertical line x=-2.
We'll do the line through (-2,9) and (a,b). A little thought tells us it's
(a + 2)(y - 9) = (b - 9)(x + 2)
When we plug in (-2,9) we get 0=0, good. When we plug in (a,b) we get
(a + 2)(b - 9) = (b - 9)(a + 2)
which is also true.
(a + 2)(y - 9) = (b - 9)(x + 2)
(b - 9)x - (a+2)y = -9(a + 2) - 2(b-9)
(b - 9)x - (a+2)y = -9a - 2b
We can choose any a and b and we'll get the line through (-2,9) and (a,b), so it will have a solution (-2,9) where it meets y = -7x - 5.
We need to make sure (a,b) isn't already on y = -7x - 5 which is the same line twice.
For arbitrary a,b, b ≠ -7a - 5, the lines y = -7x - 5 and
(b - 9)x - (a+2)y = -9a - 2b
meet at exactly one point, namely (-2,9)
Let's generate a few and plot. We'll do a vertical and horizontal an a couple of others.
a=-2, b=0, (b - 9)x - (a+2)y = -9a - 2b
-9x = 18
x = -2
a=0, b=9, (b - 9)x - (a+2)y = -9a - 2b
-2y = -18
y = 9
a=1, b=1, (b - 9)x - (a+2)y = -9a - 2b
-8x - 3y = -11
a=1, b=3, (b - 9)x - (a+2)y = -9a - 2b
-6x - 3y = -15
2x + y = 5
plot y=-7x+5, x = -2, y = 9, -8x - 3y = -11, 2x - y = 5
Help me I’m new I’m in 8th
Answer:
14.1 in³
Step-by-step explanation:
Volume of sphere:
(4/3) × pi × r³
(4/3) × (22/7) × 1.5³
= 14.1428571426 in³
Answer:
14.1 cubic inch
Step-by-step explanation:
[tex]volume \: of \: knob \\ = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {1.5}^{3} \\ = \frac{4}{3} \times 3.14 \times 3.375 \\ = \frac{4}{3} \times 10.5975\\ = \frac{42.39}{3} \\ = 14.13 \: {inch}^{3} \\= 14.1 \: {inch}^{3} \\ [/tex]
LOOK AT THIS ASAP, it's EASY! GIVING YOU 15 to solve an easy math question. Just order these from the least amount of players to the greatest. PLZ HELP.
Answer:
Bulldogs
Cardinals
Tornado
Step-by-step explanation:
Cardinals: 31 injuries
Tornado: 31 injuries
Bulldogs : 17 injuries
I think I did this right and i counted them twice, but they are the same so it doesn't matter where you put them and if this is wrong then im sorry but i counted them several times. If this is right can I get a brainliest?
Can someone actually answer this question pls its my 3rd time posting it and ill ive gotten was wrong or answers that make no sence. Pls explain your work!!!!! THANKS
Answer:
(-2+-5) equals -7.
Because the signs are the same, we dont change it.
(3+5) equals 8. Same like the other equation, the signs are the same so we do not change it.
Now we do (-7+8) The answer will be 1. Lets use a little graph since its hard to explain.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Mark -7 anyway you want. (Circle it, draw a line under it, what ever you want.)
Now Move the line 8 times.
When you do that your line will stop at 1.
And thats how you do it.
Step-by-step explanation:
Answer:
All you have to do is Subtract the first number of both equation so 2-3= 1.
Step-by-step explanation:
what is another way to write x 4/3
Answer:
^3(square root symbol) x^4 this is for radicals only
Step-by-step explanation:
If you are doing fractions then the correct answer would be x1 1/3
Explanation for ^3(square root symbol) x^4
When writing these in radicals simplified x^4/3 you put the denominator over your square root, and your numerator will be squared by your denominator. But your numerator must be to x as x is the constant. So ^3(square root symbol) x^4 = x^4/3
Explanation for x1 1/3
When simplifying fractions you take out the extra of the fraction and turn it into its own fraction, and the whole fraction you are left with, in this case being 3/3, you turn into a whole number, which is 1, and you add your left over fraction, 1/3, and put them together 1 1/3, but don't forget your x, x1 1/3
The expression 'x 4/3' can alternatively be written as the cube root of x to the fourth power, expressed as ∛[tex](x^4)[/tex]a mathematical context.
Explanation:The statement x 4/3 is a mathematical expression which can be interpreted in different ways based on context.
If the intention is to write the expression x to the power of 4/3, it can be expressed as a radical, specifically as the cube root of x4.
The cube root operation can be represented by the radical symbol, so the alternative way to write it would be ∛(x4).
This would not be a Unit Conversion question. It is essential to understand that without further context, the expression is ambiguous and might represent other mathematical operations or concepts.
However, it does not seem to relate directly to any of the extraneous information provided.
The sides of a triangle are 3x+2, 6x-1 and 7-x. Express the perimeter of the triangle in terms of x.
Answer:
8x+8
Step-by-step explanation:
The perimeter is all the sides added together:
3x+2+6x-1+7-x = 8x+8
The perimeter of the triangle in terms of x is expressed as 8 ( x - 1 ).
Given,
The sides of a triangle are 3x+2, 6x-1, and 7-x.
We need to express the perimeter of the triangle in terms of x.
What is the perimeter of a triangle?
It is given by:
Perimeter = sum of all three sides.
Find the sides of a triangle.
We have,
One side = 3x + 2
Second side = 6x - 1
Third side = 7 - x
Find the perimeter of the triangle.
Perimeter:
= one side + second side + third side
= (3x + 2) + (6x - 1) + (7 - x)
= 3x + 2 + 6x - 1 + 7 - x
= 3x + 6x - x + 2 - 1 + 7
= 8x + 8
Taking 8 common
= 8 ( x - 1 )
Thus the perimeter of the triangle in terms of x is expressed as 8 ( x - 1 ).
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Tim has two spinners , spinnerA and spinner B. Each spinner can only land on red or blue . The probability that spinner A will land on red is 0.5. The probability that spinnerB will land on red is 0.6. Tim spins spinner A once and he spins spinnerB once. He does this a number of times . The number of times both spinners land on red is 84. Workout an estimate for the no of time both spinners land on blue.
Answer:
56Step-by-step explanation:
Spinner A
Probability of red = 0.5, Probability of blue = 0.5Spinner B
Probability of red = 0.6, Probability of blue = 0.4Probability of both A and B land on red:
0.5*0.6= 0.3Number of attempts to get outcome of 84 red on both spinners is:
84/0.3= 280Probability of both spinners land on blue:
0.5*0.4= 0.2Estimated number of both spinners land on blue:
280*0.2= 56The estimated number of times that both spinners will land on blue is 56 times. This was calculated based on the number of times both spinners land on red and the probabilities of each spinner landing on blue.
Explanation:This problem deals with the subject of probability. Since we know that the number of times both spinners (A and B) land on red is 84, we can use this as a base to find the probability for each to land on blue.
The probability of spinner A landing on red is 0.5, therefore the probability of it landing on blue will also be 0.5 (1-0.5=0.5). Similarly, the probability of spinner B landing on red is 0.6, thus the probability of it landing on blue is 0.4 (1-0.6=0.4).
To get the overall probability of both spinners landing on blue, we multiply the probabilities for each individual spinner. Hence, the overall probability is 0.5 * 0.4 = 0.2.
Finally, to find the estimated number of times both spinners will land on blue, we can divide the number of times both spinners land on red (84) by the ratio of the probability for both landing on blue to the probability for both landing on red, yielding an estimate of 84 * (0.2 / 0.3) = 56 times.
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What is the radius of a cone with a volume of 96(pi) cubic inches and a height of 18 inches?
what is the radius of the cone? _____inches
Answer:r= 2.26 inches
Step-by-step explanation:
Answer: r=4inches
Step-by-step explanation:
Volume of a cone= pir2h/3
Pi= 3.14
R=?
H=18
V=96pi
Substitute for the values
V=pir2h/3
96pi=pir218/3
Pi will cancel pi out
So we have
96=r218/3
Cross multiply
R2=96×3/18
R2=16
R=square root of 16
R=4inches
The radius is 4inches
The Cold Be Gone Company conducted a study where 100 participants were assigned to either receive a cold
medicine or not receive a cold medicine. The Cold Be Gone Company then recorded whether the participant's
cold lasted 7 days or longer. The Venn diagram below shows their data.
Complete the following two-way frequency table.
Received cold medicine
Did not receive cold medicine
Cold lasted longer than 7 days
Cold did not last longer than 7 days
Cold medicine
Cold longer than 7 days
27
23
20
30
Answer: Received cold medicine Did not receive cold medicine
Cold lasted longer than 7 days 23 20
Cold did not last longer than 7 days 27 30
Step-by-step explanation:
i hope it helps
To complete the two-way frequency table, calculate the values for each cell based on the given information.
Explanation:To complete the two-way frequency table, we need to fill in the missing values. Given that there are 100 participants in total, we can calculate the value for each cell. Starting with the top left cell, which represents participants who received the cold medicine and had their cold last longer than 7 days, the value would be 27. Similarly, we can calculate the values for the other cells in the table.
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What is the interquartile range of the data :38,55,61,56,46,67,59,75,75,58
Answer:
12
Step-by-step explanation:
What are the coordinates of vertex F of parallelogram FGHJ?
(–2, 2)
(–2, 6)
(–3, 4)
(–4, 2)
Answer:
D (-4,2)
Step-by-step explanation:
The coordinates of F is (-4,2), the correct option is D.
What is a Parallelogram?A parallelogram is a polygon with four sides, the opposite sides of the parallelogram is equal and parallel.
The figure is attached with the answer.
The final image is obtained by series of Transformations
1. Translation (1,2)
Translation T₁,₂ is (x,y)→(x+1,y+2)
So, After translation from F to F' the point F' = (x+1,y+2)
2. After Reflection along y axis F" = (-(x+1), y+2)
F" = ( 3,4)
F' = (-3,4)
F = (-4 , 2)
Therefore, the coordinates of F is (-4,2), the correct option is D.
The missing figure is attached with the answer.
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I need help like now pls :,) There are 15 people in a book club. Ten people read for an average of 65 minutes each day. The remaining people read for an average of 35 minutes each day.
What was the average reading time for the entire book club each day?
It would be nice if you could help
Answer: 825 minutes
Step-by-step explanation: We know there is a total of 15 people in the book club. We also know that 10 people each read an average of 65 minutes each day, and the remaining 5 people read for an average of 35 minutes each day.
To find the total amount f minutes read, simply multiply the amount of people by the minutes read.
10 x 65 = 650 total minutes read if 10 people each read 65 minutes for one day.
5 x 35 = 175 total minutes read if 5 people each read for 35 minutes in one day.
Now, simply add the total minutes read to find the reading time fr the entire book club each day.
650 + 175 = 825 average reading time for the entire book club each day.
Determine when the rational expression below is undefined:
(x + 1)(x-2)
(2x-8)
Answer:
When x = 4
Step-by-step explanation:
Division by zero is undefined. With real numbers, you are not allowed to divide by zero. Any value of x that causes the denominator to have a value of zero is not allowed. We need to find out which values of x cause the denominator to equal zero.
To do that, we set the denominator equal to zero and solve for x.
2x - 8 = 0
Add 8 to both sides.
2x = 8
Divide both sides by 2.
x = 4
Answer: The rational expression is undefined when x = 4
Check:
Let x = 4, and evaluate the denominator of the fraction.
2x - 8 = 2(4) - 8 = 8 - 8 = 0
By letting x = 4 in the denominator, the denominator does evaluate to zero causing an undefined value in the division. Therefore, our answer above is correct.
Which equation represents the area of one base of a cylinder if the radius is doubled?
A. B= = more
B. B = 3.72
C. B = 27012
D. B = 4772
Please select the best answer from the choices provided
о А
Answer:
[tex]B_2=4\pi r^2[/tex]
Step-by-step explanation:
we know that
The area of the base of a cylinder is given by the formula
[tex]B=\pi r^{2}[/tex]
where
r is the radius of the circular base
If the radius is doubled
then
[tex]r=2r[/tex]
The new base area is
[tex]B_2=\pi (2r)^{2}\\B_2=4\pi r^2[/tex]
so
[tex]B_2=4B[/tex]
therefore
The new area of the base is 4 times the area of the original base
How would you describe the relationship between the real zero(s) and X-intercept(s) of the function f(x) =
3x(x - 1)
Answer:B
Step-by-step explanation:
The x-intercept of the mathematical function f(x) = 3x(x – 1) will be at (0, 0) and (0,1).
What are the roots of the function?The roots of the function are equal to 2 or less than 2.
The mathematical function is given below.
f(x) = 3x(x – 1)
Then the roots of the function will be
3x = 0
x = 0
And x – 1 = 0
x = 1
Then the x-intercept of the function f(x) = 3x(x – 1) will be at (0, 0) and (0,1)
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Isoke is solving the quadratic equation by completing the square.
10x2+40x-13=0
10x2+40x=13
A(x2+4x)=13
What is the value of A?
-13
4
10
40
Answer:
C. 10Step-by-step explanation:
10 gets carried down.
The value of A in A(x² + 4x) = 13 that gives 10x² + 40x - 13 = 0 is 10.
What is a quadratic function?A quadratic function is in the form:
y = ax² + bx + c
Given that:
10x² + 40x - 13 = 0
Solving using completing the square:
10x² + 40x = 13
10(x² + 4x) = 13
The value of A in A(x² + 4x) = 13 that gives 10x² + 40x - 13 = 0 is 10.
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Line segment MN is shown below. If point P(x,y) partitions the line segment
into the ratio MP:PN = 1:2 then determine the values of x and y.
Line segment:
Point M: (-6,2).
Point N: (9. – 4)
Answer:
P (-1 , 0)
Step-by-step explanation:
M (-6 , 2) N (9 , -4) P (x , y)
horizontal distance of M and N = 9 - (-6) = 15
vertical distance of M and N = 2 - (-4) = 6
1/3 from x coordinate of M (-6): -6 + 15/3 = -1 This is x coordinate of point P
1/3 from y coordinate of M (2): 2 - 6/3 = 0 This is y coordinate of point P
P (x , y) i.e P (-1 , 0)
check: distance of MP = √(-1 - (-6))² + (0 - 2)² = √29 = 5.385
distance of PN = √(-1 - 9)² + (0 - (-4))² = √116 = 10.77
MP / PN = 5.385 / 10.77 = 0.5 = 1/2
The values of x and y that partition the line segment MN into the ratio 1:2 are x = 3 and y = -4.
Explanation:To determine the values of x and y that partition the line segment MN into the ratio MP:PN = 1:2, we can use the section formula. The section formula states that the coordinates of a point P(x,y) that partitions a line segment with endpoints M(x1, y1) and N(x2, y2) into the ratio m: n are given by:
x = (nx1 + mx2) / (m + n)
y = (ny1 + my2) / (m + n)
In this case, M(-6, 2) and N(9, -4), and the ratio is 1:2. Plugging these values into the section formula, we get:
x = (2*9 + 1*(-6)) / (1 + 2) = 3
y = (-4*2 + 2*(-4)) / (1 + 2) = -4
Therefore, the values of x and y that partition the line segment MN are x = 3 and y = -4.
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Find the arithmetic mean An of the given terms. A(n-1)=-8, A(n+1)=-9
[tex]a_n=\frac{a_{n-1}+a_{n+1}}{2} \\a_n=\frac{-8+(-9)}{2} =-8,5[/tex]
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
P.S. Hello from Russia :^)
Final answer:
The arithmetic mean An between A(n-1) = -8 and A(n+1) = -9 is calculated by taking the average of these two terms, resulting in An = -8.5.
Explanation:
To find the arithmetic mean An between A(n-1) and A(n+1), we use the definition of the arithmetic mean for a sequence of numbers. The mean of two numbers is simply the sum of those numbers divided by two, which can be represented by the formula: mean = (a + b) / 2. Given A(n-1) = -8 and A(n+1) = -9, we can set up the formula as follows:
An = (A(n-1) + A(n+1)) / 2
Substituting the given values results in:
An = (-8 + (-9)) / 2
An = (-17) / 2
An = -8.5
Therefore, the arithmetic mean An of the given terms is -8.5.
Kelly took 15 pictures at school on Tuesday. She took 11 pictures at lunch and 4 pictures at recess. If she randomly selects a picture to put in her locker, what is the probability it is a picture she took at recess?
Answer:
4/15 = 0.266666%
Step-by-step explanation:
Vijay has a collection of 50 number cubes that are each 1 cubic inch. He finds a box that is 2 inches high. He fits 10 cubes into the bottom of the box. Can Vijay fit all his number cubes into the box? How many can he fit in?
Answer:
Vijay cannot fit all the cubes into the box, he can only fit 20 cubes into the box
10 x 2 = 20 cubes
He would need 5 boxes to fit all the cubes
Hope this helps <3
Round 8.438 to the nearest tenth.
Answer:
8.4
Step-by-step explanation:
To round to the nearest tenth, first go to the hundredth place, which in this case is a 3. If this is number is lower than 5, keep the tens place as it is, which is how it is in this problem.
Answer:
8.4
Step-by-step explanation:
The tenths is the first number to the right of the decimal. If the number to the right of the tenths digit is 5 or above you round it up, if it is less than 5 you round it down. In this case it is 3 which is less than 5 so you round it down to 8.4