The exponent expression ∛(56x⁷y⁵) is equivalent to the expression 2x²y∛(7xy²).
What is an exponent?Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
The expression will be given as
[tex]\sqrt[3]{56x^7y^5}[/tex]
The expression can be written as
[tex]\rightarrow \sqrt[3]{2*2*2*7 \ x^3 \ x^3 \ x \ y^3 \ y^2 }\\\\\rightarrow 2*x*x*y * \sqrt[3]{7xy^2} \\\\\rightarrow 2x^2 y \sqrt[3]{7xy^2 }[/tex]
More about the exponent link is given below.
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What is the midpoint of XY if X is located at (-12, 8) and Y is located at (10, 17)
A. (-2. 25)
B. (-1, 12 5)
C. (-2, 11.5)
D. (32, 26)
E. None of the above
Answer: B
Step-by-step explanation:
What is the sun of this question somebody tell me
Answer:
2/10 +28/10020+28/10048/10012/25Answer:
first of all you have to take the L.C.M of both which will be 100
Step-by-step explanation:
[tex]2 \div 10 + 28 \div 100 \\ = \frac{20 + 28 }{100} \\ = \ \frac{12}{25} [/tex]
A small animal can eat an amount of food that is equivalent to its body weight in 5 hour.
At this rate, what fraction of its body weight in food can the animal eat in 1 hour?
Enter your answer in the space provided. Enter only your answer.
Answer:
[tex] \frac{1}{5} [/tex]
What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth
radius r = 2 in
height h = 3 in
slant height s = 3.60555128 in
volume V = 12.5663706 in3
lateral surface area L = 22.6543468 in2
base surface area B = 12.5663706 in2
total surface area A = 35.2207174 in2
In Terms of Pi π
volume V = 4 π in3
lateral surface area L = 7.21110255 π in2
base surface area B = 4 π in2
total surface area A = 11.2111026 π in2
Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). her work is shown. which best describes the first error in jan'ai's work? she incorrectly determined the factors for the beginning function. she incorrectly determined the a value. she incorrectly transformed the equation to standard form. she incorrectly determined the x-coordinate of the vertex.
The first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
What are the coordinates of vertex for a quadratic function?For a quadratic function of the form [tex]y = ax^2 + bx + c[/tex], its vertex form is obtained as:
[tex]y = ax^2 + bx + c\\y =a(x^2 + bx/a) + c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2 -(b/2a)^2 )+ c\\y = a(x^2 + 2(b/2a)x + (b/2a)^2) -a \times (b/2a)^2 + c\\\\y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex]
For the form [tex]y = a(x-h)^2 + k[/tex], the vertex has coordinates (h, k)
Thus, for the obtained equation [tex]y = a(x+b/2a)^2 - a \times (b/2a)^2 + c[/tex], we get the coordinates of vertex as:
[tex]h = -b/2a[/tex], [tex]k = c - a\times(b/2a)^2[/tex]
Thus, the coordinates of vertex of [tex]y = ax^2 + bx + c[/tex] is:
[tex](h,k) = (-b/2a, c - a \times (b/2a)^2 )[/tex]
The missing steps of work of Jan'ai are:
Begin to write a function in factored form. [tex]f(x) = a(x+1)(x-5)[/tex]Substitute x = 0, y = f(x) = -25 to determine a. [tex]-25 = a(0+1)(0-5)[/tex]Simplify and solve to find a. [tex]a=5[/tex]Rewrite the function. [tex]f(x) = 5(x+1)(x-5)[/tex]Rewrite in standard form. [tex]f(x) = 5x^2-20x-25[/tex]Find the x-coordinate of the vertex. [tex]x = -20/2(5) = -20/10; x = -2[/tex]Find the y-coordinate of the vertex.[tex]y = 5x^2-20x-25[/tex]
[tex]y = 5(-2)^2-20(-2)-25[/tex]
[tex]y = 35[/tex]
so (-2,35) is the coordinate of the vertex, which denotes the minimum.
So, as we see, in the 5th step, Jan'ai had the quadratic function [tex]f(x) = 5x^2-20x-25[/tex],
Comparing this to [tex]f(x) = ax^2 + bx + c[/tex], we get a = 5, b = -20, c = -25
The vertex's x-coordinate will be on -b/2a = -(-20)/ 2(5) = 20/10 = 2
But Jan'ai didn't putted that negative sign before b. in the 6th step.
Thus, the first error in Jan'ai's work in determining the considered function is given by: Option D: She incorrectly determined the x-coordinate of the vertex.
Learn more about the vertex form of a quadratic equation here:
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Answer:
The answer is D on edge
Step-by-step explanation:
PLS HELP im actually cryin i stress over math a lot....
Answer:
4 mg
Step-by-step explanation:
Plug in everything that they have given for the equation
since x is the number of half-lives, and iodine-131 has a half-life of 8, and the question is asking for how much there will be left after 32 days, 8 * 4 = 32, so x will be 4.
y = 64(0.5)^4
and solve
y = 4
so there will be 4 mg of iodine-131 left after 32 days.
Answer:
4 mg
Step-by-step explanation:
half- life is 8 days then 32 ÷ 8 = 4 half- lives , then
y = 64 [tex](0.5)^{4}[/tex] = 64 × 0.0625 = 4 mg left
Do number 10 please
To solve this problem, let's first understand the information given
⇒ says that 150% of expected people showed up
⇒ the number of expected people is 340
⇒ means 150% of 340 is the number of people who showed up
⇒ written mathematically 150% is equivalent to 150/100.
To find the exact number of people we must time 150/100 to 340
[tex]\frac{150}{100}*340=1.5 * 340 = 510[/tex]
That means 510 people showed up
Hope that helped!
I NEED THIS RIGHT NOW
Answer:
E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
the reason is, for a direct relation between x and z we have too little information.
z could be huge, much, much bigger than y and x, or just bigger by 1 than y.
so, assume e.g. the following 2 scenarios
z = 6
y = 5
x = 4
and
z = 600
y = 26
x = 3
A
x + y > z
is true for the first scenario, but not for the second. so, it is not always true.
B
z - x < z - y
no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.
C
xz > yz
no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.
D
z/x < z/y
no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.
E
yz > xy
in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.
if A=(0,0) and B=9(2,5), what is the approximate length of AB
Answer:
(x2 – x1)2 + (y2 – y12))d = √((5 – 0)2 + (2 – 0)2d = √(25 + 4) = √(29) ≈ 5.385aa
Step-by-step explanation:
The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.
Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)
Answer:
9/33
Step-by-step explanation:
find the total of people that have attended college (9+12+12 =33)
now go to the number of people that are both college and conservative (9)
The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Given that table shows differences in political ideology, by education, for a random sample of voters.
To find the total of people that have attended college (9+12+12 =33)
P(conservative attended college) = (Type an integer or a simplified fraction)
To the number of people that are both college and conservative (9)
P(conservative attended college) = 9/33
Learn more about probability here;
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#SPJ2
Evaluate the Expression
25y-(-13)= type your answer....
when y = 7
Answer:
188
Step-by-step explanation:
25(7)-(-13)
=175 - 1(-13)
=188
Please Help Me!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.
This is a TWO part question, make sure to answer both part A. and B.
A. Find the amount of interest. Show the math computation use to find the amount of interest.
B. What was the monthly payment? Show the work used to find this answer.
Answer:
a. 1710 b. 71.25
Step-by-step explanation:
the formula for simple interest is i=prt
2(9500)(0.09)= 1710
to find the monthly payment, divide by the number of months.
1710/24=71.25
Write the standard equation for the circle center (6, 7), r = 9.
Answer:
[tex](x-6)^{2} +(y-7)^{2} =81[/tex]
Step-by-step explanation:
The general equation for a circle is
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex] where (h,k) is the center of the circle and r is the radius
Plug in the (6,7) for the center and 9 for r
Carmella just planted seeds for her vegetable garden. Anxious to view the progress of her plants, she checks her garden one afternoon, but sees that 4 weeds she has never seen before are growing in her vegetable garden. After a few weeks, she notices that the number of weeds appears to be tripling each week. If she doesn’t do something, she calculates that there could soon be 972 weeds in her garden. If represents the number of weeks, which equation could be used to determine what week Carmella would expect to find 972 weeds in her garden
Answer: 4(3)^w = 972
.
How many degrees are in a circle?
180°
300°
90°
360°
Answer:
360
Step-by-step explanation:
each part of circle are divided into 360
Denali is the highest mountain
in the United States. What is its height in meters?
Round to the nearest whole number.
Answer:
6,000 meters.
Step-by-step explanation:
Denali is 6,190 meters so round it off to 6000.
Answer: 6,200
Step-by-step explanat
Denail 6,190 and if it is 50 up then you round up and if it if 50 down then you round down. In this case it is higher than 50 cause it is 6,190 so you round up.
Therefore, the answer should be 6,200
Can someone help me????
Answer:
x= 3(y+8)/
8
y= 8(x-3)/
3
Are the expressions 5(3a+2) and 15a+2 equivalent? Justify your answer.
SOLVE equations, SHOW WORK, AND EXPLAIN
Answer number 6 please. Bots don’t answer I’m just trying to get help
Answer:
B
Step-by-step explanation:
20 × 2/5 = 8
15 × 2/5 = 6
5 × 2/5 = 2
p/s : the pic is for question no 7. i thought that you want the number 7 so i solved it first. then i reread your question. then i realized u actually want number six. so...
yeah, your welcome :)
x^4+ 4x² – 45 =0
factored form (x² - 5)(x² +9)=0
does anyone know how to solve this?
Answer:
[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]
The measure of arc MQL IS degrees
Answer: 214 degrees
Step-by-step explanation:
The first steps in writing f(x) = 3x2 – 24x 10 in vertex form are shown. f(x) = 3(x2 – 8x) 10 (startfraction negative 8 over 2 endfraction) squared = 16 what is the function written in vertex form? f(x) = 3(x 4)2 – 6 f(x) = 3(x 4)2 – 38 f(x) = 3(x – 4)2 – 6 f(x) = 3(x – 4)2 – 38
The given quadratic equation 3x^2 – 24x + 10 can be written in vertex form that is f(x) = 3(x – 4)2 – 38.
What are quadratic equations?A quadratic equation is an equation of degree 2 and the standard form of a quadratic equation [tex]ax^{2} +bx+c[/tex] where x is the variable and a,b, c are real numbers.
Following the steps already shown to transform the given function into the vertex form,
[tex]f(x) = 3(x^{2} - 8x + 16) + 10 - 3(16)\\f(x) = 3(x - 4)(x - 4) + 10 - 48\\f(x) = 3(x - 4)2 - 38[/tex]
Therefore, the function written in vertex form is f(x) = 3(x – 4)2 – 38.
Learn more about quadratic equations;
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Answer:
The answer is D!
Step-by-step explanation:
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answer:
The answer is Sue or B
Step-by-step explanation:
Sue Paid : 0.12 per ounce when divided
Sarah Paid 0.13 per ounce when divided
Answer:
C, Sarah paid less
Step-by-step explanation:
3.84/32 = 0.12
5.20/40 = 0.13
Sarah paid less per ounce.
A swimming pool measures 10 feet by 8 feet by 5 feet. What is the volume of the swimming pool
Answer:
400 ft^3
Step-by-step explanation:
To find volume you simply do length x width x height
So, 10 x 8 x 5 which equals 400 ft; We make it have a power of 3 (cubed) because it is 3 dimentional object.
Hope this helps!
What are the coordinates of the image of point K(1, 3) after a reflection over the line y = –1
Answer:
1, -5
Step-by-step explanation:
you can this solve easily
3 - -1 = 4 units down from y = -1
x does not change in this reflection
Factor using the greatest common factor
25n ² - 5n
32n ² + 28n - 20
Answer:
this is my answer
5n (5n - 1)
4n (8 + 7) - 20
3. A hexagonal pyramid has the following measures:
base area = 41.5 cm2
slant height = 7cm
height = 6 cm
area of one lateral face = 14 cm?
a. Calculate the pyramid's volume. Show your work.
Include units.
b. Calculate the pyramid's surface area. Show your
work. Include units.
The surface area of the hexagonal pyramid is the amount of space on it
The volume of the pyramid is 83 cubic centimetersThe surface area is 125.5 square centimetersThe pyramid's volumeThe given parameters are:
base area = 41.5 cm^2slant height = 7cmheight = 6 cmarea of one lateral face = 14 cm^2This is calculated using:
V = 1/3Bh
So, we have:
V = 1/3 * 41.5 * 6
Evaluate the product
V = 83
Hence, the volume of the pyramid is 83 cubic centimeters
The pyramid's surface areaThis is calculated using:
S = L + B
Given that:
base area = 41.5 cm^2area of one lateral face = 14 cm^2A hexagonal pyramid has 6 lateral sides.
So, we have:
S = 6 * 14 + 41.5
Evaluate
S = 125.5
Hence, the surface area is 125.5 square centimeters
Read more about areas and volumes at:
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PLEASE HELP ME! WILL MARK BRAINLIEST!
Answer:
-1
Step by step explanation:
[tex]\dfrac{4^3/(-12+2^2)}{(2\cdot 3)^2+(-5 \cdot 2 \cdot 3) +2}\\\\\\=\dfrac{-\tfrac{64}8}{36-30+2}\\\\\\=-\dfrac{8}{8}\\\\=-1[/tex]
For the point p and q, find the distance d(p,q) and the coordinates of the midpoint m of the segment pq.
The midpoint of the coordinate pq is (-7.5, -5.5) while the distance between the two coordinate points is 5√2
How to calculate the distance between two points and midpoint?The midpoint of a line is the coordinate point that divides the coordinates into two equal parts.
The formula for calculating the midpoint is expressed as:
[tex]m(x,y)=(\frac{x_1+x_1}{2} ,\frac{y_1+y_2}{2} )[/tex]
Given the coordinate points p(-10, -8) and (-5, -3).
Calculate the midpoint of pq
[tex]m(x,y)=(\frac{-10-5}{2} ,\frac{-8-3}{2} )\\m(x,y)=(\frac{-15}{2} ,\frac{-11}{2} )\\m(x,y)=(-7.5,-5.5)[/tex]
Hence the midpoint of the coordinate pq is (-7.5, -5.5)
Determine the distance pq
pq = √(-3+8)²+(-5+10)²
pq = √(5)²+(5)²
pq = √50
pq = 5√2
Hence the distance between the point pq is 5√2
Learn more on midpoint and distance here: https://brainly.com/question/17498679
Find the sum of these polynomials. (2x^2+x+3)+(3x^2+2x+1)
Answer:
5x²+3x+4
Step-by-step explanation:
(2x²+x+3)+(3x²+2x+1)
add 2x² and 3x² since they're like terms
5x²+x+3+2x+1
add 2x and x = 3x
5x²+3x+3+1
add 3 and 1 = 4
5x²+3x+4
