9514 1404 393
Answer:
100
Step-by-step explanation:
A root is equivalent to a fractional power. A square root is a 1/2 power. A cube root is a 1/3 power. The index of the root is the denominator of the fraction.
Of course the usual rules of exponents apply in evaluating an expression.
(a^b)^c = a^(bc)
__
Your expression can be simplified as follows.
[tex]\displaystyle\sqrt[3]{1000^2}=(1000^2)^{\frac{1}{3}}=1000^{\frac{2}{3}}=(10^3)^{\frac{2}{3}}=10^2=\boxed{100}[/tex]
It can also be simplified another way:
[tex]\displaystyle\sqrt[3]{1000^2}=\sqrt[3]{(10^3)^2}=\sqrt[3]{(10^2)^3}=10^2=100[/tex]
_____
Additional comments
A problem like this is simpler if you are familiar with the squares and cubes of small integers.
What is an equation of the line that passes through the point (2, 2) and is parallel to
the line x -
2y = 4?
Answer:
you wold have to graph it just put it in the caculater like that
Step-by-step explanation:
Answer: y- 2 = -1/2(x - 2)
Step-by-step explanation:
We need to rewrite it as y=mx+b.
x - 2y = 4
2y = - x + 4
y = -1/2x + 4/2
y = -1/2x + 2
The slope for x - 2y = 4 is -1/2.
In addition, the slope of two parallel line would be the same, the slope of the line that pass through the point (2,2) would be -1/2.
y- y1 = m(x- x1)
y- 2 = -1/2(x - 2)
NEED HELP FAST!! A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.
Answer:
y = -3x + 5
Step-by-step explanation:
To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
If a 18 ft tall tree casts a 9 ft long shadow
then how tall is an adult giraffe standing near it that casts a 7
ft shadow?
Answer:
[tex] \boxed{ \tt{the \: adult \: giraffe \: is \to \: 14 \: ft}}[/tex]
The height of the giraffe standing near it which casts a shadow of 7 feet is 14 feet.
What is Scale Factor?Scale factor is the ratio of the dimension of the given original object and the dimension of the new object from the original.
Given that,
Actual height of the tree = 18 feet
Height of the shadow = 9 feet
Actual height = 2 × Shadow height
So, here the scale factor is 2.
Given Shadow height of the giraffe = 7 feet
Actual height of the giraffe = 2 × height of shadow of the giraffe
= 2 × 7 feet
= 14 feet
Hence the height of the giraffe is 14 feet.
Learn more about Scale Factor here :
https://brainly.com/question/30215119
#SPJ2
Marcel wants to buy a bike for 499$. he has already saved 256$. His grandma gives him 50$. He can save 12$ per month. How long does he have to wait before he can afford the bike?
Answer: 17 months
Step-by-step explanation:
499 - 256 - 50 = 193
193/12 = 16.08
round up, so 17 months
PLEASEEEEEEEEEEEE HELPOPPBMEEEEE
Answer:
The answer is 7.14
Step-by-step explanation:
good luck
Evaluate 11.3v + 10.7w when v=7 and w=8
Answer:
11.3(7)+10.7(8)=79.1+85.6
=164.7
URGENT HELLLLPPP!!!!!!!!
Are my answers for the conditional statement correct? I would just like to check them and if they're incorrect, could you let me know how to fix them? Thank you.
Statement: If I brush my teeth twice a day, then I will not get cavities.
Inverse: If I don't brush my teeth twice a day, then I will get cavities.
Truth Value: True
Converse: If I don't get cavities, then I am brushing my teeth twice a day.
Truth Value: True
Contrapositive: If I get cavities, then I am not brushing my teeth twice a day.
Truth Value: True
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
A cut is made to the shape shown below at an angle from the top of the shape to the base of the shape. What is the shape of the cross
section that results from the cut?
A square
B. parallelogram
C. rectangle
D. triangle
Answer:
square
Step-by-step explanation:
why is this labeled high school this is so simple
Equation practice with angle addition
Find m
Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.
Answer:
x = 2
Step-by-step explanation:
x * 3 = 6 → is your equation to solve for x
x = [tex]\frac{6}{3}[/tex]
x = 2
Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank holds exactly 120 gallons of water. Tank A will hold small fish and Tank B will hold large fish. Dr. Howser plans on buying 3 small fish for every 10 gallons of water in Tank A. He plans on buying 6 large fish for every 40 gallons of water in Tank B.
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
what are the X and Y intercepts of 6x-36y= 108
Answer:
To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): (18,0)
y-intercept(s): (0,-3)
Step-by-step explanation:
I hope this helps you out with your question! Can you plz consider marking me brainliest and thanks! Plz tell me how the answer was! It feel nice to be appreciated! Comment /free for a giveaway entry of 20 thanks and 2 brainliest. Have an awesome day! Let me know if you have any questions! -KaraYeaton18
Sasha is feeling a rectangular box with ribbon and wants to know the amount of space in the box which statement is true about the amount of space inside the box
The available options are:
The space inside the box is the surface area, which is 192 in.2.
The space inside the box is the surface area, which is 144 in.2.
The space inside the box is the volume, which is 192 in.3.
The space inside the box is the volume, which is 144 in.3.
Answer:
The space inside the box is the volume, which is 144 in.3.
Step-by-step explanation:
Give that the rectangular box Sasha is filling has three dimensions of 12inches, 3 inches, and 4 inches for its sizes. Therefore to know the amount of space in the box the correct answer is 12 * 4 * 3 = 144 cubic inches.
Hence, the right answer to this question is "The space inside the box is the volume, which is 144 in.3."
Answer: The answer is D
The space inside the box is the volume, which is 144 in.in.3
Step-by-step explanation:
If the diameter of the tennis ball is 2.6 inches, what is its circumference, in inches?
Answer:
8.164
Step-by-step explanation:
The circumference of the ball is 8.164 inches.
Calculation of the circumference:
Since the diameter of the tennis ball is 2.6 inches
So here the radius should be half i.e. 1.3 inches
Now we know that
Circumference = [tex]2\pi r\\\\[/tex]
= 2(3.14)(1.3)
= 8.164 inches
Therefore, we can conclude that The circumference of the ball is 8.164 inches.
Learn more about circumference here: https://brainly.com/question/15673093
Mr. Lisa wants to hang a triangular banner at the entrance of the school. He performs an unknown dilation to include the banner labeled ∆A'B'C' on a sketch. If side A'B' is 8 units, what will be the measure of B'C' if the measure of AB is 24 feet and BC is 6 feet?
Answer:
B'C' = 2 units
Step-by-step explanation:
The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).
Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:
A'B'/AB = B'C'/BC
Substitute
8/24 = B'C'/6
Cross multiply
24*B'C' = 8*6
24*B'C' = 48
B'C' = 48/24
B'C' = 2 units
Solve to find the value of x.
Answer:
x=12
Step-by-step explanation:
We know that a right angle is 90 degrees. So we can make the equation [tex]35+4x+7=90.[/tex] Now, we can solve fore X! We can combine 35 and 7 to make the equation [tex]4x+42=90[/tex]. In order to isolate x we have to subtract 42 from both sides, getting us the equation [tex]4x=48.[/tex] Now, in order to isolate x we must divide each side by 4, getting us the equation [tex]12=x[/tex]. To prove that x=12, we can subsitute x for 12. This means that we can do [tex]35+4(12)+7=90. Or, 35+48+7 =90,[/tex] which simplified, is 90=90, making x=12 true. Hope this helps :)
someone pls help thank you so much if you do!!
25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.
Answer:
21.5 feet.
Step-by-step explanation:
Calculate the length of a curved edge.
s =
m
360
· 2πr Use the formula for arc length.
=
90
360
· 2π(3) Substitute 3 for r and 90 for m.
= 1.5π Simplify.
Let t be the length of the cut encompassing the tray.
t = 2 · 1.5π + 2 · 6
= 3π + 12 Simplify.
≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.
The length of the cut encompassing the tray is 21.5 feet.
A rental car company charges $44.82 per day to rent a car and $0.05 for every mile
driven. Nathan wants to rent a car, knowing that:
• He plans to drive 275 miles.
• He has at most $490 to spend.
Which inequality can be used to determine d, the maximum number of days Nathan
can afford to rent for while staying within his budget?
490 44.82 + 13.75d
490 > 44.82 + 13.75d
Submit Answer
490 < 13.75 + 44.82d
490 > 13.75 + 44.82d
Answer:
D) 490 > 13.75 + 44.82d
Step-by-step explanation:
Ms. Rhodes purchased 8 pounds of potatoes for $18.08. At this rate, what is the cost per pound of potatoes? Use a proportion to solve. include how you did this work <3
Answer:
$2.20
Step-by-step explanation:
If you do long division you get 2 dollars as total with a decimal of 20 do that's your answer.
Answer:
The cost per pound of potatoes is $2.26.
Step-by-step explanation:
You have to divide the total cost by the total pounds.
So in this case, the total cost is $18.08.
There is a total number of 8 pounds.
So you do:
$18.08 / 8 pounds
=
$2.26/lb of potatoes
I hope this helps you on your journey to success!
And if you may mark me Brianliest, I will appreciate a whole bunch!
If (x + 1)(x - 3) = 12, then which of the following statements is true?
1.) x + 1 = 12 or x - 3 = 12
2.) x + 1 = 0 or x - 3 = 0
3.) x - 5 = 0 or x + 3 = 0
Answer:
If (x + 1)(x - 3) = 12, then which of the following statements is true?
1.) x + 1 = 12 or x - 3 = 12
is true
Which expression is equivalent to -4(7-2m)+11m
answer choices:
a. 19m
b. -28+19m
c. -28+3m
d. -9m
I NEED HELP ASAPPP
please give me a correct answer!!
Answer:b
Step-by-step explanation:
I will give brainiest to whoever answers correctly.
Answer:
x= 1.25 y = 1.75
Step-by-step explanation:
8/5 = 10/ (5+x)
Cross multiplucation
8(5+x) = 5x10
40 + 8x = 50
8x = 10
x = 1.25
8/7 = 10/ (7+y)
Cross multiplication
8(7+y) = 10x7
56+8y = 70
8y = 14
y = 1.75
Write an equivalent expression to
3² x 15 x 54
Equivalent Expression: 9x + 15x = 54
Step-by-step explanation:
First, yo would do 3^2 which is 3 times 3 equals 9.
So, it would be 9x + 15x = 54
Then, you combine like terms, 9x + 15x
So 9+15= 24x
Last, would be 54 = 24x
divide by 24 onto both sides and then x will be by itself and then it will give you an answer.
Answer: 2.25
can someone help me, with this problem, I really need the procedure
Answer:
In which standard u are???
Step-by-step explanation:
Of which chapter is it???
solve for x
x- 5/3=1
Answer:
x = 8/3 or 2 2/3
Step-by-step explanation:
x - 5/3 = 1
x - 5/3 + 5/3 = x
1 + 5/3 = 8/3 or 2 2/3
x = 8/3 or 2 2/3
Answer:
x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
x - [tex]\frac{5}{3}[/tex] = 1 ( multiply through by 3 to clear the fraction )
3x - 5 = 3 ( add 5 to both sides )
3x = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
The length of the guy why supporting a cell tower is 120 m the guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?
Complete Question
The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?
Answer:
89.44m
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
This is given as:
Hypotenuse² = Opposite ² + Adjacent ²
Hypotenuse = Length of the guy wire = 120m
Adjacent = Distance from the base of the tower = 80m
Opposite = Height of the building = x
Hence:
120² = x² + 80²
Collect like terms
x² = 120² - 80²
x = √120² - 80²
x = √(8000)
x = 89.4427191 m
Approximately the height of the tower is = 89.44m
Which one of these represents the graph in this picture right here ? A,B,C,D,E or F?
PLEASE HELP
Answer:
A) y=3x+1
Step-by-step explanation:
Use the formula y=mx+b
m is the slope and b is the y intercept
the graph starts on 1 on the y axis so you replace 1 for b
the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.
Consider Functions F and G
Answer:
A
Step-by-step explanation:
We are given two functions:
[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]
And we want to find:
[tex]f(x)+g(x)[/tex]
Thus:
[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]
We can factor the denominator of the first term:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]
In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]
Multiply:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]
Combine:
[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]
Simplify:
[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]
We can expand the denominator:
[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]
Therefore, our answer is A.
Answer:
A
Step-by-step explanation: