Answer:
[tex]4x^4y^2\sqrt[3]{x^2y^2}[/tex]
Step-by-step explanation:
Recall that [tex]a^{(\frac{b}{c})}=\sqrt[c]{a^b}[/tex].
Therefore, we have:
[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}[/tex]
Use the exponent property [tex](a^b)^c=a^{(b\cdot c)}[/tex] to simplify:
[tex](8x^7y^4)^{\frac{2}{3}}=\sqrt[3]{(8x^7y^4)^2}=\sqrt[3]{64x^{14}y^8}=\boxed{4x^4y^2\sqrt[3]{x^2y^2}}[/tex]
2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?
Answer:
5 < L < 18,5
5 < L < 18,52 < W < 5,5
Step-by-step explanation:
longeur = length = L
largeur = width = W
L = 3W +2
12 < 2L+2W < 48
———————————————
12 < 2*(3W+2)+2W < 48
12 < 6W+4 +2W < 48
12 < 8W+4 < 48
8 < 8W < 44
2 < W < 5,5
———————————————
12 < 2L+2W < 48
L = 3W +2
L - 2 = 3W
L/3 -2/3 = W
12 < 2L +2*(L/3 -2/3) < 48
12 < 2L + ⅔L -4/3 < 48
12 < 2⅔L -4/3 < 48
13⅓ < 2⅔L < 49⅓
5 < L < 18,5
hope it helps.
brainly exists in French too. brainly.fr or switch country in app
help......................
Answer:
17.
[tex] 7 \times {10}^{ - 6} [/tex]
18. 8 sides (and 8 corners)
19. the chance is 50% or 0.5, and yes, both colors have the same chance.
20. on a coordinate grid make a point at x=1 and y=5. and then simply draw a line through that point.
Step-by-step explanation:
17. the defining digit is 7. and it is at the the 6th position after the decimal point. that is how you write this.
18. the more corners or sides a polygon has, the closer it gets to a circle. that means that the outside angles always add up to 360 degrees.
so, with the inside angles being 135 degrees, the outside angles are 180-135 = 45 degrees.
his many such outside angles can we add together until we reach 360 degrees ?
360/45 = 8 (just imagine : 2×45 = 90, and 90×4 = 360)
so, this polygon has 8 corners and therefore 8 sides.
19. 12 balls are in the bag. the chance for a single ball to be pulled is therefore 1/12.
but there are 6 red balls. we don't care which specific ball we pull, as long as it's red. so, we have 6/12 chances to achieve that.
and yes, for exactly the same reason, black balls have the same chance.
The length of the triangle for the pool table is the twice the sum of 5 and a number. If the rack is equilateral, what is the perimeter, in inches, of the triangle?
Answer:
30 + 6x inches
Step-by-step explanation:
Let the required number be x
If the length of the triangle for the pool table is twice the sum of 5 and a number
L = 2(5+x)
L = 10+2x
Since the triangle is quadrilateral, this means that all sides are equal
Perimeter = 3L
Perimeter = 3(10+2x)
Perimeter = 30+6x
Hence the perimeter, in inches, of the triangle is 30 + 6x inches
Use SOH CAH TOA to find the missing side.
sin(43) × hypotenuse of 19 gives you oppo
= 13
Write equivalent fraction for the given number : 2/4 = _______ , ____________ , ______________, _ _________
Answer:
1/2, 4/8, 5/10, 6/12 (examples of equivalent fractions)
Step-by-step explanation:
all you have to do is keep the ratio the same, so whatever change you make to one side of the fraction, you do the same to the other
here's an example: 2/4 divided by 2/2 = 1/2
- you would divide 2 by 2 AND 4 by 2
write 36m÷9m in standard form
The expression (36m ÷ 9m) is equivalent to 4.
What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the following division as follows -
(36m ÷ 9m)
We have the following expression -
36m ÷ 9m
So, we can write -
(36m/9m)
36/9
4
Therefore, the expression (36m ÷ 9m) is equivalent to 4.
To solve more questions on functions, expressions and polynomials, visit the link below -
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Shante is calculating the amount of time it takes a rocket to get to the moon. The moon is around 239,000 miles from Earth. How many hours would it take a rocket that can travel at 200 miles per minute to travel to the moon? Round to the nearest hour.
Answer:
20 hours
Step-by-step explanation:
Mathematically we know that;
time = distance/ speed
distance = 239,000 miles
Time = 200 miles per minute
time = 239,000/200 = 1195 minutes
Let us convert this to hours by dividing by 60 (since 60 minutes equal an hour
So we have 1195/60 = 19.91
This is approximately 20 hours
Answer:
D
Step-by-step explanation:
20 hours
What is the slope of the line? Khan academy 15 points
Answer:
m = -8/5
Step-by-step explanation:
First determine how much x changes as we go from the first point to the second: -1 to +4. This change (the 'run') is 5 units.
Then find the change in y: -4 - (4) = -8. This change (the 'rise') is -8.
Thus the slope m = rise / run is m = -8/5
Quadrilateral MNOP is similar to quadrilateral SRUT.
Which proportion can be used to find the value of x?
Answer:
8/12 = x/14
Not sure if this is a proportion but this is how I would solve it.
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00. Write a function to represent this scenario. Which graph represents this wage increase for x < 12?
The solution is Option C.
The graph which represents the inequality equation is
f ( x ) = { 0.50 , if x < 3
1 , if 3 ≤ x < 6
1.50 , if 6 ≤ x < 9
2.00 , if 9 ≤ x < 12 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the number of years be = x
Let the increment in wages be = y
Now , the equation will be
For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour
So , the inequality equation is x < 3 , f ( x ) = 0.50
Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00
So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1
Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour
So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50
Employees of at least nine years, but less than twelve years receive an increase of $2.00
So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
Therefore , the graph which represents the solution is Option C.
Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2
To learn more about inequality equations click :
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Pythagoras
1.if the radius of the smaller circle is 3, find it’s area
2. Find the area of the yellow ring
3. Find the area of the white ring
Answer:
1. [tex]Area = 28.26[/tex]
2 and 3: See explanation
Step-by-step explanation:
Solving (1)
[tex]r = 3[/tex] --- radius
The area is:
[tex]Area = \pi r^2[/tex]
[tex]Area = 3.14* 3^2[/tex]
[tex]Area = 28.26[/tex]
There are no enough information to solve (2) and (3) as the radius and/or diameter are not provided.
However, the following formula will be used to calculate the required areas.
[tex]Area = \pi r^2[/tex] --- same process as (1)
It typically takes Mr. Dunn 20 minutes to get to school, but it took him 40% longer today. How long did it take Mr. Dunn to get to school today?
EXPLAIN THE ANSWER
Answer:
28 minutes
Step-by-step explanation:
40 percent is 0.4 and 100 percent is 1. Since you have the full 100% of 20 plus the increase of 40% you have to multiply by 20 by 1.4
1.4*20 = 28
URGENT: Graph y = cosx for -3\pi/2 <= x <= -pi/2
What is the largest value in the range?
A. -1
B. 0
C. 1/2
D. 1
Match them BRAINLIEST IF CORRECT
Answer:
1/2 for the red card
1/52 for queen of hearts
1/4 for clubs
3/13
Step-by-step explanation:
the red card is 1/2 because the only other color is black
there is only one queen of hearts
it is one of four possible symbols
because that is the only one left
28. Barrett's mom has a flower vase that is shaped like a perfect cylinder.
The vase has a height of 9 inches, and its radius is 4 inches. What is the
total volume of water that the flower vase can hold?
Answer:
Vase volume is 452.16 in³
Step-by-step explanation:
The question asks for the volume of a cylinder of radius r and height h. The relevant formula is V = (pi)(r)^2*h
With h = 9 in and r = 4 in, that max volume (of water) is
V = (3.14)(4 in)^2*(9 in) = 452.`16 in³
Find (-3/7) / (-1 1/14).
45/98
2/5
2 1/2
-2/5
Answer:
option B . [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex](-\frac{3}{7}) \div (-\frac{15}{14}) = (-\frac{3}{7}) \times (-\frac{14}{15}) = \frac{3 \times 14}{7 \times 15} = \frac{2}{5}[/tex]
Answer:
2/5
Step-by-step explanation:
(-3/7) / (-1 1/14) = 0.4
0.4 = 4/10
simplified = 2/5
I hope this helps uwu.
Find the value of x. Give a reason to justify your solution.
Answer:
x =52
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles. (Exterior Angle Property)
x+72 = 90+34
x+72 = 124
x+72-72 = 124 - 72
x =52
(-32) +(-8) -(+40)+(40)+(78)-(46)
Answer:
or -32-8-40+40+78-46=-8
Step-by-step explanation:
Answer:
-8 is the answer!!!!
Step-by-step explanation:
you can use calculaTor
I am stuck on this question.
Answer:
D. Yes; the graph passes the vertical line test.
Step-by-step explanation:
1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.
2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.
3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.
4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."
Bob works as a carpenter and needs to buy some tools for
work. A framing hammer costs $22. A 4-foot level costs
$18. A carpenter's square costs $7. What are Bob's total
expenses for these tools?
Which equation represents a line that passes through (2, -1/2) and has a slope of
3?
Answer:
it should be d or c
Step-by-step explanation:
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of (u circle v) (x)?
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
h1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
Find the distance from point P to RQ
Answer:
option A : about 2.8 units
Step-by-step explanation:
To find the distance from P to RQ , Find the distance from ( 1 , 1) to (3 , 3).
[tex]Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]= \sqrt{(3-1)^2 + (3-1)^2}\\\\= \sqrt{2^2 + 2^2 }\\\\= \sqrt{4 + 4 }\\\\= \sqrt{8}\\\\=2\sqrt{2}[/tex]
= 2.83 units
Answer:
A
Step-by-step explanation:
Remark
The distance you want is the point P to the (3,3). Then two lines meet as these two do, the shortest distance is the right angle distance. And that is how distance is defined.
Formula
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
Givens
x2 = 1
x1 = 3
y2 = 1
y1 = 3
Solution
d = sqrt( (1 - 3)^2 + (1 - 3)^2 )
d = sqrt( (-2)^2 + (-2)^2 )
d = sqrt ( 4 + 4)
d = sqrt(8)
d = 2√2
d = 2.8
(47.5+45.5+48.5+46.5+47+45+48+46+49)/9
:)
Answer:
47 and now I'm just typing so it lets me answer
Step-by-step explanation:
calculator
Which equation has w=8 as the solution?
a) Sw=64
b) 16w = 240
c) 16 - W=9
I d) 4+ w= 10
I used process of elimination to solve this: its is A.
I was confused about the 's' in Sw=64 so i decided it had to be either 5 or 8. its 8
8*8=64
The junior senator can do a labyrinth in 50 minutes. The senior senator can do a labyrinth in 30 minutes. Working together, how many minutes would it take them to work their way through 12 labyrinths?
Answer:
[tex]225\:\text{minutes}[/tex]
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete [tex]\frac{10}{50}=\frac{1}{5}[/tex] of the labyrinth.
In 10 minutes, the senior senator can complete [tex]\frac{10}{30}=\frac{1}{3}[/tex] of the labyrinth.
Therefore, working together, they can complete [tex]\frac{1}{5}+\frac{1}{3}=\frac{8}{15}[/tex] of the labyrinth in 10 minutes. Thus, it will take them [tex]\frac{15}{8}\cdot 10 \text{ minutes}=18.75\:\text{minutes}[/tex] to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then [tex]18.75\cdot 12 =\boxed{225\:\text{minutes}}[/tex]
At a middle school, 30% of students buy lunch in the cafeteria and the remaining students bring lunch from home. A spinner with 10 equal-sized sections numbered 0-9 will be used to simulate the lunch trend. How can you design a simulation to guess whether the next 20 students buy lunch or bring lunch from home?
A:Assign the numbers 0–3 to represent students who buy lunch and the numbers 4–9 to represent students who bring lunch from home. Spin the spinner 20 times and count how many spins are between 0–3 and how many are between 4–9.
B:Assign the numbers 0–2 to represent students who buy lunch and the numbers 3–9 to represent students who bring lunch from home. Spin the spinner 10 times and count how many spins are between 0–1 and how many are between 4–6, then multiply the counts by 2.
C:Assign the numbers 0–2 to represent students who buy lunch and the numbers 3–9 to represent students who bring lunch from home. Spin the spinner 20 times and count how many spins are between 0–2 and how many are between 4–9.
D:Assign the numbers 0–3 to represent students who buy lunch and the numbers 4–9 to represent students who bring lunch from home. Spin the spinner 10 times and count how many spins are between 0–3 and how many are between 4–9.
Answer:
B
Step-by-step explanation:
I'm pretty confident that it is B
What solid 3D object is produced by rotating the triangle about line m? ANSWER ASAP. TROLL AND LINK ANSWERS REPORTED. WILL AWARD BRAINLIEST.
Answer:
A cone with diameter 6 units
Step-by-step explanation:
Rotating the triangle about line m will give us a cone with radius 3
If the radius is 3, the diameter is 2*r = 2*3 = 6
Answer:
Step-by-step explanation:
a cone with a radius of 5
SJSKSJSKSJ d help :p
Answer:
Below
Step-by-step explanation:
Discount: 40% of $159 = $63.60
Price you pay: $159 - $63.60 = $95.40
9. Estimate the solution to the system
of equations by graphing. Write the
solution.
y=4-X
x + 3y = 5
( , )