Answers
Answer:
x ^5/3 y ^1/3 (the second option listed)
Step-by-step explanation:
So without even solving the expression, you can find the correct option. If you're finding the cube root (or really any square root), you know it will be less than your original number (unless you are working with imaginary numbers, but you aren't).
So, if you are finding the cube root of an expression, you're finding the cube root of each number separately.
You wouldn't be cubing y, you would be finding the cube root. You wouldn't be leaving y the same, you are finding the cube root.
This means that without even solving (which I will explain),
the correct option is the second one on the screen.
Here's how to actually solve the equation:
So, if we are finding the cube root of a variable with an exponent, we can divide that exponent by 3 (because it is a cube root).
When we have a square root, you know that we are breaking down each number/variable into an even exponent to solve the expression. When taking the square root of an even exponent, such as 4, you would divide by 2.
This same strategy applies to cube roots. You are dividing the exponent of both variables by 3.
[remember: the exponent of a variable without an exponent is essentially an invisible exponent of 1.]
Related Questions
Find m<2
Round your answer to the tenth.
Answers
360-242.7=117.3
117.3° is angle 2
Brainliest for the correct answer (If you say anything completely wrong like 98 you're getting reported): What is the area of the figure?
Answers
Answer: 578
Step-by-step explanation:
12 x 7 = 84
13 + 8 + 4 + 10 = 25
25 x 14 = 350
4 x 10 = 40
8 x 13 = 104
84 + 350 + 40 + 104 = 578
Does anyone know how much does a Toyota AE86 car gets for monthly car payments??
not math-related sorry
Answers
Answer:
$464
Step-by-step explanation:
Simplify the expression 8a - 6b -3a + 2b
Answers
Answer:
5a - 4b
Step-by-step explanation:
= 8a - 6b - 3a +2b
= 8a - 3a - 6b + 2b
= 5a - 4b
Hope it helps :)
Answer:
5a - 4b
Step-by-step explanation:
Express the following ratio: 18 inches to 2 feet in its simplest form. Hint: 1 feet = 12 inches
Answers
Answer:
3:4
Step-by-step explanation:
18inches : 2feet
18 inches: 2x12 =24 inches
18:24 - 3:4(divide by 6)
Please help im confused on both.
Answers
Answer: (1) and (4)
Step-by-step explanation:
The parts listed in the ciongruence statements don't correspond, so they aren't necessarily congruent.
The function f(x) is defined below. What is the end behavior of f(x)?
f(x) = x^4– 47x² + x^3– 45x + 450
Answers
Answer:
Third option
Step-by-step explanation:
Since our leading coeffeicent has a leading even degree, and a positive number,
The end behavior will as
as x approaches oo, and -oo, f(x) approaches oo.
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 π and round your final answer to the nearest hundredth. the radius is 2
Answers
Answer:
[tex]10.67\pi[/tex] OR [tex]33.49[/tex]
Step-by-step explanation:
Volume of a Sphere: [tex]\frac{4}{3} *\pi*r^3[/tex]
Radius = 2
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *\pi*2^3[/tex]
[tex]\frac{4}{3} *\pi*8[/tex]
[tex]10.67\pi[/tex]
OR
[tex]\frac{4}{3} *\pi*r^3[/tex]
[tex]\frac{4}{3} *3.14*2^3[/tex]
[tex]\frac{4}{3} *3.14*8[/tex]
[tex]\frac{4}{3} *25.12[/tex]
[tex]33.49[/tex]
Hope this helps!
Find the mean of the data.
Pls help ASAPPPP
Answers
Answer:
the answer is 56
Step-by-step explanation:
first off you need to add every number up which adds to be 336,
then you divide by the number of pieces in the data which in this case is 6,
366 divided by 6 is 56
I HOPE THIS HELPED!
Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car can travel 240 miles on 20 gallons of gas. Each car costs the same to rent, and Sam wants to rent the car with the better gas mileage. Sam estimates that he will pay $49.49 for every 14 gallons of gas he has to buy. Which car should Same rent, and how much money should Sam bring for gas? Explain your reasoning
Answers
can someone explain how to do "interquartile range"
Answers
What is it?
The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
How do you find IQR?
Step 1: Put the numbers in order. ...
Step 2: Find the median. ...
Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...
Step 4: Find Q1 and Q3. ...
Step 5: Subtract Q1 from Q3 to find the interquartile range.
Answer:
The answer to this quesion is a measure of statistical dispersion, the spread of data or observations, first you need to get the data find the median calculate the median from both lower and upper half of the data and the iqr is the diffrence between the lower and upper.
Step-by-step explanation:
I Hope This Helps You!
-Justin:)
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.
Answers
The area of Square 4 is a2+2ab+b2
The area of Square 5 is 2ab+c2
Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.
System of Equations
Explain steps
Answers
Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation. ...
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
These are all of the steps
HELP ASAP I WILL GIVE YOU BRAINLEAST
WHAT IS THE EQUATION OF THE GRAPH?
Answers
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
Plug in x = 0 and you should get y = 4. Plug in x = 1 and you should get y = 7These two facts help confirm we have the correct exponential equation.
Answer: y = 4*(1.75)^x===========================================================
Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
Answer: y = 40*(1/3)^xWhich expression is equivalent to 16 4 6 a x , when a > 0 and x > 0?
Answers
The expression of [tex]\sqrt{[/tex](16a^4x^6) is an algebraic expression
The equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3
How to determine the equivalent expression?The expression is given as:
[tex]\sqrt{[/tex](16a^4x^6)
Expresss 16 as the square of 4
[tex]\sqrt{[/tex](16a^4x^6) = [tex]\sqrt{[/tex](4^2a^4x^6)
Evaluate the square root of each factor in the expression
[tex]\sqrt{[/tex](16a^4x^6) = 4a^2x^3
Hence, the equivalent expression of [tex]\sqrt{[/tex](16a^4x^6) is 4a^2x^3
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Matia claims "When you square any number, the result is always greater than that number." Matia used the example 32 = 9 and 9 is greater than 3
Answers
Answer:
[tex] {3}^{2} = 9 \\ \\ 81 = 9[/tex]
Answers:
Choice A) 0
Choice B) 0.5
=======================================================
Explanation:
Matia claims that [tex]x^2 > x[/tex]
However, the claim isn't true when 0 ≤ x ≤ 1.
For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]
Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.
------------------
Similarly, if x = 0.5, then
[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]
Because the last inequality is false, the first inequality must also be false for x = 0.5
-------------------
Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.
Help me on this question please!
Answers
Answer:
16
Step-by-step explanation:
You're doing a subtraction problem between (x+5) and (2x+3)
(x+5) - (2x+3) =
**You need to solve for x first then plug it in to find the answer.***
(I had to break the parentheses because that is the only way to solve)
-x +8
x= -8
-8 + 5 - (-16+3)
-3 + 16 + 3
13 + 3 = 16
Answer:
-x+2
Step-by-step explanation:
(x+5)-(2x+3)
distribute
x+5-2x-3
combine like terms
x-2x+5-3
-x+2
Please help asap!!! I will give brainlist
Answers
Answer:
I believe the answer is C.
[tex] \sqrt{35} [/tex]
Help:
8. Multiply the following:
a. (x^3)(x^2) =
b.(x^7)(x^10) =
c. (3s^4)(-6s^5) =
d. (-20x)(3x) =
Answers
Answer:
below
Step-by-step explanation:
the law of indices:
a) x⁵
b) x¹⁷
c) -18s⁹
d) -60x²
Holding a ruler upright at arm’s distance (24 in.), Ronnie aligned the bottom of the ruler with a mark on the utility pole that was about 5 feet above the ground. He saw that the top of the pole aligned with the 6-inch mark on the ruler. Then he took 40 long strides to reach the pole. If each stride was about one yard (3 feet), then the top of the pole is about how many feet high?
Answers
Answer:
10 feet
Step-by-step explanation:
Drawing obviously not to scale but... Red segment is the ruler, at least the part between 5 and 6 inches, 1 inch long. Brown segment is the pole, ground to the top. Leftmost point is the eye, green line is the horizontal. The triangles are similar (AAA, the vertical lines are parallel), the ratio of the side is the same as the ratio of the heights. The height of the larger triangle (measured across the green line is
[tex]40 yd \times 3\frac{ft}{yd} \times 12\frac{in}{ft}= 1440''[/tex].
Ratio of the height is then [tex]1440\div24 = 60[/tex].
At this point the height of the pole is 60 times the length of the measure on the ruler, or 60 inches, that is 5 feet. Add the 5 feet the pole was starting from, it's 10 feet.
40 points!! Two questions (a) and (b)!!
Answers
Answer:
(a) Kaylee earns $19.50 per hour.
(b) Kaylee earns more per hour.
Step-by-step explanation:
a)
[tex]m[/tex] = $ per hour
[tex]y = mx[/tex]
[tex](39) = m(2)[/tex]
[tex](39 = m(2)) = 19.50 = m[/tex]
b) Kaylee earns more per hour
Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.
Hannah travels 6 times as many minutes to work as Raoul does. Together,
they travel for 63 minutes. How many minutes does Hannah travel? Draw
a model and write an equation to solve.
Answers
Answer:
hannah 54
raoul 9
Step-by-step explanation:
hannah _ 6x
raoul _ x
6x+x=63
7x=63
x=9
hannah _ 6×9=54
raoul _ 9
Deondre drops a nickel from a balcony that
is 125 meters in the air. The function
y = -512 + 125 can be used to represent y, the
height of the coin in meters after t seconds.
Write and solve an equation to find the time it
will take for the coin to hit the ground.
Answers
The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function
It will take 5 seconds for the coin to hit the ground
How to determine the time the nickel hits the ground?
The function is given as:
[tex]y = -5t^2 + 125[/tex]
When the nickel hits the ground, the value of the function is:
y = 0
So, we have:
[tex]-5t^2 + 125 = 0[/tex]
Subtract 125 from both sides
[tex]-5t^2 =- 125[/tex]
Divide both sides by -5
[tex]t^2 =25[/tex]
Take the square root of both sides
[tex]t = 5[/tex]
Hence, it will take 5 seconds for the coin to hit the ground
Read more about quadratic functions at:
https://brainly.com/question/1214333
What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Answers
Answer:
105
Step-by-step explanation:
150-30%= 105
Have a wonderful day!
Answer:
The total is $105
Step-by-step explanation:
To get a percentage of a number first convert the percentage to a regular number with a decimal
30.0% would be 0.3 because you move the decimal two spots to the left
you then multiple your new number 0.3 with the original price to get 45
because it is a discount it means we will reduce the price or subtract from it
150 - 45 = 105
I hope this helps
A new car is purchased for 21,800 dollars. The value of the car depreciates at a rate of 9.5% per year. Which equation represents the value of the car after 5 years?
ur m
Answers
Using an exponential function, it is found that the equation that represents the value of the car after 5 years is:
[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, the car is purchased for 21,800 dollars, and it's value deprecites 9.5% per year, hence the equation for it's value after t years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(t) = 21800(1 - 0.095)^t[/tex]
[tex]A(t) = 21800(0.905)^t[/tex]
After 5 years, the value is given by:
[tex]A(5) = 21800(0.905)^5 = 13234.25[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
The seventh and eighth-grade bands held a joint concert. Together, there were 188 band members. If the eighth-grade band is 3 times as big as the seventh-grade band, how big is the eighth-grade?
Let x=7th band and let y=8th band.
a. 47 eighth-grade band students
b. 63 eighth-grade band students
c. 141 eighth-grade band students
Part B:
Write the two equations for this situation.
Answers
Answer:
c. 141 eighth-grade band students
Part B:
y = 3x
1/3y = x
PLEASE HELP ILL MARK BRAINLIEST + WORTH 45 POINTS!!
Determine the area of the circle Use 3.14 for 16. Round to the nearest hundredth when necessary
Answers
Answer:
~21.23
Step-by-step explanation:
First, we divide 5.2 by 2 to get the radius. And then, we do 2.6*2.6*3.14 and get 21.2264. And since you ask to round to the nearest hundredth, we get 21.23.
Hope this helps!
Give me brainliest too ;)
Answer: 21.23
Step-by-step explanation:
The formula for finding the area of a circle is pi times radius squared.
Diedra has $20 to spend. Can she buy shorts that cost $18.50?
Answers
Answer:
yes she can
Step-by-step explanation:
yes she can because $20 is great than $18.50
Will choose Brainliest.
Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each of them ate 6 cookies from their bag. The product of the number of cookies left in each bag is not more than 80.
How many more cookies will Jessica have than Martha?
If x represents the number of cookies Jessica started with, complete the statements below.
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0
Jessica has at least
_ cookies more than Martha.
Answers
Answer:
Part A: [tex]x^2-30x+224\geq 0[/tex]
Part B: Jessica has at least 2 cookies more than Martha
Step-by-step explanation:
Since there are 2 question-
Let,
How many more cookies will Jessica have than Martha?If x represents the number of cookies Jessica started with, complete the statements below. Be Part A:
Let,
The inequality that describes the relationship between the number of cookies each one of them has is x^2- _ x + 224 ≥ 0 Jessica has at least _ cookies more than Martha.
Be Part B:
Hint:
J=Jessica
30-J=Martha
(J-6)*((30-J)-6)<=80
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Starting with Part A: Find the inequality that describes the relationship between the number of cookies each one of them has
Let,
"x" be the number of cookies when Jessica started
"30-x" be the number of cookies when Martha started
Given us that:
Each of them ate 6 cookies from their bag
Therefore,
Cookie left in each bag are:
(x-6) which is - Jessica
30 - x - 6 = (24 - x) - Martha
Solution - (x-6)(24-x)
The product of the number of cookies left in each bag is not more than 80.
Thus,
[tex](x-6)(24-x\leq 80[/tex]
[tex]24x-x^2-144+6x\leq 80[/tex]
[tex]-x^2+30x-144-80\leq 0[/tex]
[tex]-x^2+30x-244\leq 0[/tex]
[tex]\mathrm{Multiply\;by\;-1\;both\;sides}[/tex]
[tex]x^2-30x+224\leq 0[/tex]
Hence, Answer = [tex]x^2-30x+224\leq 0[/tex]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Solve:
Part B: Solve the quadratic equation:
[tex]\begin{bmatrix}\mathrm{Solution:}\:&\:14\le \:x\le \:16\:\\ \:\mathrm{Interval\:Notation:}&\:\left[14,\:16\right]\end{bmatrix}[/tex]
[tex]\left(x-14\right)\left(x-16\right)\le \:0[/tex]
[tex]14\le \:x\le \:16[/tex]
The solution is x=16 cookies
Thus, (30-x)=30-16=14 cookies
Now we know that;
The number of cookies when Jessica started was 16 cookies
The number of cookies when Martha started was 14 cookies
So,
The number of cookies left in each bag is equal to
Jessica:
16-6=10 cookies
Martha:
14-6=8 cookies
10 > 8
As a result, Jessica has at least 2 cookies more than Martha.
Fill in blank for:
The inequality that describes the relationship between the number of cookies each one of them has is x^2 - __30__ x +224 >= 0.
Jessica has at least __2__ cookies more than Martha.
~Lenvy~
log2 (10x+5) - log2 5 =5
PLEASE SOLVE AND SHOW WORK
THANKS A TON
Answers
Answer:
[tex]\sf x =15.5[/tex]
Step-by-step explanation:
[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=5[/tex]
[tex]\sf log_2\left(10x+5\right)\:-\:log_2\:5\:=log_2 (32)[/tex]
[tex]\sf log_2\left\dfrac{(10x+5)}{5} =log_2 (32)[/tex]
[tex]\sf 2x+1 =32[/tex]
[tex]\sf 2x+1 -1=32-1[/tex]
[tex]\sf 2x =31[/tex]
[tex]\sf x =15.5[/tex]
Answer:
Step-by-step explanation:
[tex]log_{a}[/tex] [tex]x_{1}[/tex] - [tex]log_{a}[/tex] [tex]x_{2}[/tex] = [tex]log_{a}[/tex] [tex]\frac{x_{1} }{x_{2} }[/tex]
[tex]log_{a}[/tex] x = b ⇒ [tex]a^{b}[/tex] = x
~~~~~~~~~~~~~~
[tex]log_{2} (10x+5)[/tex] - [tex]log_{2} 5[/tex] = 5
[tex]log_{2} \frac{10x+5}{5}[/tex] = 5
[tex]\frac{10x+5}{5}[/tex] = [tex]2^{5}[/tex]
10x + 5 = 32 × 5
2x + 1 = 32
x = 15.5