The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x
Use the number line to answer the question. Each tick represents 1 unit.
Describe the location of point K.
four more than M
three more than L
seven less than N
two less than J
Please be fast!!
Answer and Step-by-step explanation:
Essentially, you are describing the position of point K using the location of the other points on the graph.
Let's start listing some descriptions:
K is:
3 more than H
2 more than J
3 less than L
4 less than M
7 less than N
12 less than P
Now look at the answer choices and compare it to what we wrote.
We see that the answer choices A, B, and D are incorrect (based on what we wrote), and that answer choice C is correct.
[C. 7 less than N] is the correct answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Answer: LESS THAN FOUR
Step-by-step explanation:
Graph step by step:
f(x)=-2x+1
Step-by-step explanation:
Root:(1/2, 0)
Domain: x∈R
Range: y∈R
Vertical intercept: (0, 1)
Solve the following problems using equations. Show your working steps clearly.
1. Four years ago, the age of Paul was twice that of John. John is 18 years old now. How old is Paul now?
2. Five bottles of milk cost $4.4 more than four bottles of juice. If one bottle of milk costs $3.2, find the cost of one bottle of juice.
3. Miss Cheung spends 1/8 of her savings on personal ornaments and 5/6 on clothing. If her savings still has $130 left, find the original amount of her savings.
1.
Paul's present age = x
John's present age = 18
Paul's age 4 years ago = x - 4
John's age 4 years ago = 18 - 4 = 14
Also,
Paul's age four years ago was twice that of John's age four years ago.
Therefore,
Paul's age 4 years ago = 2(14)
= 28
Paul's age 4 years ago = x - 4 = 28
x - 4 = 28
x = 28 + 4
x = 32
Therefore, the present age of Paul is 32.
2.
Cost of one bottle of milk = $3.2
Cost of five bottles of milk = $3.2 × 5 = $15
Cost of four bottles of juice = $15 - $4.4
= $10.6
Cost of one bottle of juice = x
= Cost of four bottles of juice
4
= 10.6
4
= 2.56
Therefore, one bottle of juice costs $2.56.
3.
Savings spent on personal ornaments = 1/8
Savings spent on clothing = 5/6
Total savings spent = 1/8 + 5/6
= 3/24 + 20/24
= (3+20)/24
= 23/24
Savings left = 1/24 = $130
Total amount of savings = x
As 130 is one part of the total savings,
Total amount of savings =
x = 130 × 24
x = 3120
Therefore, original amount of savings is $3120.
Simplify the polynomial, then evaluate for x = 1 and y = - 2.
2x2 y + 3xy2 – 3xy + 4x2 y + y2 – 5xy2
6x²y – xy2 – 3xy; - 14
6x2 y - 2xy2 – 3xy + y2; – 2
6xy - xy2 – 3xy;
- 10
6xy - 2xy2 – 3xy + y2; - 10
Answer:
Step-by-step explanation:
6(1)(-2) -2(1)(-2)^2 - 3(1)(-2) +(-2)^2
-12 -8 +6 +4
=-10
-10 is the value of the given polynomial.
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
First, we can simplify the polynomial by combining like terms:
[tex]2x^2y + 4x^2y + 3xy^2 - 5xy^2 - 3xy + y^2\\= (2x^2y + 4x^2y) + (3xy^2 - 5xy^2) + (-3xy + y^2)\\= 6x^2y - 2xy^2 - 3xy + y^2[/tex]
Now, to evaluate for x = 1 and y = -2, we substitute those values into the simplified expression:
[tex]6(1)^2(-2) - 2(1)(-2)^2 - 3(1)(-2) + (-2)^2\\= 6(-2) - 2(4) + 6 + 4\\= -12 - 8 + 6 + 4\\= -10[/tex]
Therefore, the value of the polynomial for x = 1 and y = -2 is -10.
Learn more about Polynomials here:
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(2x-5)3 =Alguien sabe cual es el resultado de esta operación
Answer:
6x - 15
Step-by-step explanation:
(2x - 5)3
3(2x) - 3(5)
6x - 15
Determine a quadratic equation that has 7 and -4 as solutions.
Answer:
(x+x1)(x-x2)
let x1=7 and x2=-4
(x+7)(x-(-4))
(x+7)(x+4)
x^2+4x+7x+28
x^2+11x+28
Which is the graph of 4x + 2y < 3? On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the right of the line is shaded. On a coordinate plane, a dashed straight line with negative slope goes through (0, 2) and (1, 0). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the left of the line is shaded. On a coordinate plane, a dashed straight line with positive slope goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded.
Answer:
it is a negative slope (going left), dashed and shaded left below the line - the points are not correct.
y<-2x+3/2
-2 = m and the y-intercept is 3/2
Step-by-step explanation:
Answer:
The second graph showing the y-intercept as 2 and the x-intercept as 1 with the left side of the line shaded in red. Ur welcome and have a nice day :3
Step-by-step explanation:
Jimmy's dog weighed 60 pounds 4 months ago. Since then his weight has increased by 6% How much does Jimmy's dog weigh now
Answer: 3.6
Step-by-step explanation:
Answer:
63.6 pounds
Step-by-step explanation:
Jimmy's dog's weight was 60 pounds 4 months ago and now it is weighing 6% heavier.
So 6% of 60 is
[tex]\frac{x}{60} *100=6[/tex]
x=360/100
x=3.6
So Jimmy's dog weighs 60+3.6=63.6 pounds
the locations of a house, market, and library from a right triangle as shown in the diagram
Please help quick!!
-3(-2w+3y-6) what’s the answer
[tex] - 3( - 2w + 3y - 6) \\ = 6w - 9y + 18[/tex]
I hope I helped you^_^
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]6w-9y+18[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression...}}\\\\-3(-2w+3y-6)\\-------------\\\rightarrow -3 * -2w = 6w\\\\\rightarrow -3 * 3y = -9y\\\\\rightarrow -3 * -6 = 18\\\\\rightarrow -3(-2w+3y-6)= \boxed{6w-9y+18}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
six quarts of paint is equally shared among 9 artists. how many quarts of paint does each artist get?
Answer:
2/3 quarts
Step-by-step explanation:
Paint used by 9 artists = 6 quarts
So, paint used by 1 artist if shared equally among the 9 artists
= 6 quarts/9
= 2/3 quarts
= 0.6666...... quarts
Rounding to the nearest hundredth, each artist would get approximately 0.67 quarts of paint.
To determine how many quarts of paint each artist gets when six quarts of paint are equally shared among nine artists, we can divide the total amount of paint by the number of artists. 6 quarts ÷ 9 artists = 0.6667 quarts per artist
To "equally share" means to divide or distribute something equally among a group of individuals or entities. It implies that each person or entity involved receives an equal portion or share of the item being distributed. This division ensures fairness and equal opportunities for everyone involved. The goal is to ensure that each recipient receives an equal amount or proportion of the item being shared.
To know more about artists , here
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Please help i don’t have a lot
A can of tomatoes has a radius of 6 cm and a height of 10 cm. What is the approximate volume of the can?
A:36 cm3
B:60 cm3
C:113 cm3
D:1,130 cm3
Answer:
D: 1,130 cm³
Step-by-step explanation:
You need the volume of a cylinder.
V = πr²h
V = 3.14159 * (6 cm)² * 10 cm
V = 3.14159 * 36 cm² * 10 cm
V = 1130.97 cm³
Answer: D: 1,130 cm³
Answer:
The choose D. 1130 cm³
v = r² pi/ h
v = (6)² × 3.14 × 10
v = 1130.4
v = 1130
whats 1+(3x3)???? HELP I WILL GIVE BRAINLIEST !!!!
Answer:
[tex]1 + (3 \times 3) = 1 + 9 = 10 \\ thank \: you[/tex]
Answer:
its 10
Step-by-step explanation:
1+(3x3)
1+(9)
10
plz give brainliest im tryna level up
3. Find (1 3)(x) when f (x) =
Vx+3
Vx+3 (1 point)
and
g(x)=
2x
x2 +6x+9
of g)(x) =
2x2
√x+3
(g)(x) =
2x2
OF 3)(x)
?? +9
of g)(x) =
x+3
2x²
22
Answer:
The choose 3.
[tex] \frac{x + 3}{2 {x}^{2} } [/tex]
linear equation 3+X=-2
Answer:
x = -5
Step-by-step explanation:
3+X=-2
Subtract 3 from each side
3-3+X=-2-3
x = -5
Answer:
-5
Step-by-step explanation:
1 Subtract 3 from both sides.
x=-2-3
2 Simplify -2 -3 to -5
x=-5
The kinetic energy, K, of an object due to its motion is given by K = mv2, where m is the mass of the object and v is its velocity. What is the mass of the object, m, in terms of its kinetic energy and velocity?
Answer:
Step-by-step explanation:
First of all, your formula isn't right. In general, the KE = 1/2 m * v^2
KE = 1/2 m * v^2 Multiply both sides by 2
2*Ke = m * v^2 Now divide by v^2
2*Ke/v^2 = m
I'm a little stuck on this, could I get some help? C:
How much would you need to deposit in an account each month in order to have $50,000 in the account in 10 years? Assume the account earns 5% annual interest compounded monthly.
Thank you, and I am eternally grateful.
9514 1404 393
Answer:
$321.99
Step-by-step explanation:
Use the annuity formula and solve for P.
A = P(12/r)((1 +r/12)^(12t) -1) . . . . value of a series of deposits P earning rate r compounded monthly for t years.
50,000 = P(12/0.05)((1 +0.05/12)^(12·10) -1) = P(240)(0.64700950)
P = 50,000/155.282279 = 321.99
You would need to deposit $321.99 in the account each month to have $50,000 in 10 years.
Find the value of this expression if x = 3.
x²– 1/x+1
Answer:
2
Step-by-step explanation:
x^2 - 1 = 9 - 1 = 8
8 / 3 + 1 = 8/4 = 2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
2
Step-by-step explanation:
Given, x=3
Now,
x^2 - 1/ x+1
= 3^2-1/3+1
= 9-1/4
=8/4
=2
Subtracting a number is the same as adding its additive inverse. For which elevation do we need to find the additive inverse? What is the additive
inverse of that elevations
Answer:
what elevation there is no elevation
Step-by-step explanation:
pew pew
Answer:duhh
Step-by-step explanation:
Find the area of the shaded region.
Step-by-step explanation:
find the area of the big semicircle and the small semicircle.minus the area of the small semicircle from the big semicircle.
now find the area of the other semicircle on top of the big semicircle.
add your results
area of semicircle=1/2(pir^2)
What answer applies to “fine print”?
In goooooooogle you get your answer please Mark me as a brainlist
When 59,527 is divided by 23, the quotient is 2,588 R ___.
Answer:
3
Step-by-step explanation:
When 59,527 is divided by 23, the quotient is 2,588 R3.
Hope this helps! :)
Harvey is 3 times as old as Jane. The sum of their ages is 48 years. Find the age of each. Jane is years old. Harvey is years old.
Answer:
Jane is 12 years old.
Harvey is 36 years old.
Step-by-step explanation:
The explanation is attached.
How can I multiply this without a claculator 4103 x 25?
You just mutiple 4103×25and it =102575
multiply the fraction 5/6 to the decimal 2.4
Answer:
answer is 2. thank you. have a nice day
Find the value of x.
9514 1404 393
Answer:
x = 50°
Step-by-step explanation:
The angle marked 73° is the average of the arcs marked 96° and x.
(x +96°)/2 = 73°
x = 2(73°) -96° . . . . solve for x
x = 50°
__
Additional comment
Then z = 360° -50° -114° -96° = 100°.
A wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ft
Perry uses 12 milliliters of honey in his honey lemon dressing . He makes just enough dressing for 4 salads he puts the same amount on each salad .how much honey is on each salad ASAPPPPP
The amount of honey he use for each salad is : 12 / 4 = 3 (milliters)
SO he used 3 milliters on each salad
Mark as Brainliest If the answer is helpful!
Help!
Which expression is equivalent?
On edge
Answer: Choice B
[tex]x^{1/8}y^{8}[/tex]
======================================================
Explanation:
The two rules we use are
[tex](a*b)^c = a^c*b^c[/tex]
[tex](a^b)^c = a^{b*c}[/tex]
When applying the first rule to the expression your teacher gave you, we can say that:
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]
Then applying the second rule lets us say
[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]
Therefore,
[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]
-------------
In short, we just multiplied each exponent inside by the outer exponent 1/2.
So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answer:
1they are 15 kilometers apart
