Answer:
Eight root of to the fifth power.
Step-by-step explanation:
2^7/8 / 2^1/4
= 2^(7/8 - 1/4)
= 2^5/8
= eight root of to the fifth power.
Answer:
the eighth root of 2 to the fifth power .
Example of a balance point
a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.
What is the sum of F(X) and G(x) if F(x) = 8x ^ 3 + 7x ^ 2 - 11x + 20 and G(x) = - 5x ^ 3 - 4x ^ 2 - 17
Answer:
[tex]3x^{3}+3x^{2}-11x+3[/tex]
Step-by-step explanation:
f(x) + g(x) = [tex]8x^{3}+7x^{2}-11x+20-5x^{3}-4x^{2}-17[/tex]
To make this equation a little less long, we combine like terms
[tex](8-5)x^{3}+(7-4)x^{2}-11x+(20-17)[/tex]
or just
[tex]3x^{3}+3x^{2}-11x+3[/tex]
I wil I give the BRAINIEST!
Please explain :)
What is the best description of the relation?
A tank contains 5,000 L of brine with 11 kg of dissolved salt. Pure water enters the tank at a rate of 50 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate. (a) How much salt is in the tank after t minutes? y = ___________kg (b) How much salt is in the tank after 20 minutes? () y = ________ kg
Answer:
a
[tex]y(t) = 11e^{-\frac{t}{100} }[/tex]
b
[tex]y(20) = 9 \ kg[/tex]
Step-by-step explanation:
From the question we are told that
The volume of brine in the tank is [tex]V_L = 5000 \ L[/tex]
The mass of the salt is [tex]y(0)= 11 \ kg[/tex]
The rate at which water enters that tank is [tex]\r V = 50 \ L / min[/tex]
Generally the rate at which salt enters the tank is mathematically represented as
[tex]z = \frac{0}{V_L} * \r V[/tex]
=> [tex]z = \frac{0}{5000} * 50[/tex]
Here the zero implies that there is no salt entering the tank
Generally the rate at which salt leaves the tank is mathematically represented as
[tex]u = \frac{y(t)}{V_L} * \r V[/tex]
=> [tex]u = \frac{y(t)}{5000} * 50[/tex]
=> [tex]u = \frac{y(t)}{100}[/tex]
Generally the rate of salt flow in and out of the tank is
[tex]\frac{dy}{dt} = z - u[/tex]
=> [tex]\frac{dy}{dt} = - \frac{y(t)}{100}[/tex]
=> [tex]\frac{dy}{y} = -\frac{dt}{100}[/tex]
=> [tex]ln(y(t)) = -\frac{t}{100} + c[/tex]
at time t = 0 y(0) = 11
=> [tex]ln(11) = -\frac{0}{100} + c[/tex]
=> [tex]c = ln (11)[/tex]
So
[tex]ln(y(t)) = -\frac{t}{100} + ln (11)[/tex]
taking exponent of both sides
[tex]y(t)=e^{ -\frac{t}{100} + ln (11)}[/tex]
=> [tex]y(t) = e^{-\frac{t}{100} } * e^{ln(11)}[/tex]
=> [tex]y(t) = 11e^{-\frac{t}{100} }[/tex]
Generally at t = 20 minutes
The amount of salt in the tank is mathematically represented as
[tex]y(20) = 11e^{-\frac{20 }{100} }[/tex]
=> [tex]y(20) = 9 \ kg[/tex]
kala is saving money to buy a bike that cost $125. She has $60 and will save an additional $5 each week. In how many weeks will she have enough money to buy the bike?
Paul and Seth know that one point on a line is (4,2) and the slope of the line is -5. Each student wrote a different equation relating x and y . Do the two equations represent the same line ? Construct a mathematical argument to support your answer .
Answer:
Step-by-step explanation:
Paul's equation,
Since the given line is passing through a point (4, 2) and slope = -5,
y = mx + b
2 = -5(4) + b
2 = -20 + b
b = 22
Therefore, equation of the line will be,
y = -5x + 22
Seth equation,
Slope of a line passing through two points (x, y) and (4, 2),
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
-5 = [tex]\frac{y-2}{x-4}[/tex]
-5(x - 4) = y - 2
-5x + 20 = y - 2
y = -5x + 22
Therefore, both the equations represent the same line.
10, 9, 11, 8, 15, 18, 13
1. Calculate the mean, median, and mode. Round to the nearest tenth.
Answer:
Median: 11
Mean: 12
Mode: none
Step-by-step explanation:
M A T H W A Y helps
Mode is something that is repeated multiple times
so
Answer:
Median- 11
Mean-12
Mode-none
Step-by-step explanation:First step: Put the numbers in order 8,9,10,11,13,15,18
The median is the middle number so that would be 11
Median-11
Mode is the most repeated number as you can see there is none
Mode- none
Mean is the average of all the numbers so first you add them all together and divide it by 7 because there are 7 numbers in total.
Mean- 12
What is an equation of the line that passes through the point (8,0) and is parallel to
the line 2 -4y = 20
The topic of this is parallel and perpendicular through points!!
Answer:
i think y=0
Step-by-step explanation:
Solve one fourth plus ten sixteenths
Answer:
The answer is 0.875
Answer:
13
Step-by-step explanation:
You are in charge of food shopping for a party. You need to buy snacks and soda. A bag of snacks costs $2 and a pack of soda $3.5. If your mom gives you $25 to buy groceries and you buy 8 bags of snacks, how many packs of soda can you buy?
Answer:
2 bags
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
2x8=16
25-16=9
3.5+3.5=7
What is the product of -5/8 and -6/7
Answer:
-1 27/56
Step-by-step explanation:
Using the given fractions,
−58+−67
Applying the fractions formula for addition,
=(−5×7)+(−6×8)8×7
=−35+−4856
=−8356
Simplifying -83/56, the answer is
=−12756
At Clean Cut Manufacturing, Jethro made a graph representing the number of riding lawn mowers manufactured, y, based on the number of hours the assembly line is operating, x. The graph is a straight line that passes through the origin and the point (1, 13). Which of the following graphs and statements fit the situation? The assembly line manufactures 13 riding lawn mowers per hour of operation. The slope of the graph is 1. The y-intercept of the graph is 13. It takes 13 hours of operation for the assembly line to manufacture each riding lawn mower.
Answer:
The assembly line manufactures 13 riding lawn mowers per hour of operation. And the graph that the line is vertical but slightly tilted.
Step-by-step explanation:
What do you call a female bug that floats?
Answer:
A buoyant girl ant
Step-by-step explanation:
Help!!I will give BRAINLIEST
Answer:
3.125
Step-by-step explanation:
Hope this helps!! :)
Answer:
3.05
Step-by-step explanation:
Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?
Answer:
15 + 18.88 ÷ 12 = p
if p were price of each song
p= 1.99
Please help me ! Today 11/6/2020 :(
Dillon is packing equal quantities of pretzels and crackers for snacks. Dillon bags the pretzels in groups of 5 and the crackers in groups of 11. What is the smallest number of crackers that he can pack?
Find the volume of the sphere. Sorry the pic isn’t the best! I tried lol!
Answer:
4,186.6 repeated (just round to .7 if it asks for it)
Step-by-step explanation:
The volume of a sphere is 4/3 pi r^3
plug in the radius and simplify that expression
Two pounds of cashews costs $19. Which table best represents y, the total cost of the cashew for x pounds?
How do you say 9.876?
Answer:
nine point eight hundred seventy six....hope u got, babes...
PLEASE HELP ME ASAP
Answer:
The answer is Option D
Step-by-step explanation:
Supplementary angles are angles that sum up to 180 °
which is greater [-3.25] or [4.25]
Answer:
4.25
Step-by-step explanation:
The number is bigger in absolute form
Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hours and notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoey expect from the iPad on a full battery charge?
Answer:
6 hours more
Step-by-step explanation
When Zoey started the flight the battery was 100%, then it dropped to 75% in 2 hours. So each 25% will last 2 hours and there is 75% remaining which if you divide by 3 it will give 1. And each 25% will last 6 more hours until the battery dies.
Find the measure of angle LMN
please help me!!
Please help me I need help?!!!
Answer:
B
Step-by-step explanation:
Enter the ordered pair for the vertices for Rx-axis(QRST).
The graph with X-coordinate marks -4, -2, 0, 2, 4 and Y-coordinate marks -4, -2, -1, 0, 2, 4, 6. There is a polygon QRST with coordinates T at (-2, 3), Q at (1, 5), R at (3, -1) and S at (0, 0).
Given:
The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).
To find:
The vertices for [tex]R_{x-axis}(QRST)[/tex].
Solution:
The rule [tex]R_{x-axis}(QRST)[/tex] represents refection of polygon QRST across the x-axis.
If a figure is reflected across the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
Using this rule, we get
[tex]T(-2,3)\to T'(-2,-3)[/tex]
[tex]Q(1,5)\to Q'(1,-5)[/tex]
[tex]R(3,-1)\to R'(3,1)[/tex]
[tex]S(0,0)\to S'(0,0)[/tex]
Therefore, the vertices for [tex]R_{x-axis}(QRST)[/tex] are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).
Rx-axis means that the polygon QRST is reflected across the x-axis.
The ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
The points are given as:
[tex]\mathbf{Q = (1,5)}[/tex]
[tex]\mathbf{R = (3,-1)}[/tex]
[tex]\mathbf{S = (0,0)}[/tex]
[tex]\mathbf{T = (-2,3)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{Q' = (1,-5)}[/tex]
[tex]\mathbf{R' = (3,1)}[/tex]
[tex]\mathbf{S' = (0,0)}[/tex]
[tex]\mathbf{T' = (-2,-3)}[/tex]
Hence, the ordered pair after Rx-axis is Q'(1,5), R'(3,1), S'(0,0) and T'(2,3)
Read more about reflections at:
https://brainly.com/question/938117
James determined that these two expressions were equivalent expressions using the values of x - 4 and x - .6
Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x = 2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x = 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x = 8.
Answer:2 4 and 5
Step-by-step explanation:
how do i work this out.
write 600 as the product of prime factors. Give your answer in index form
Which step will get you closest to the solution of this equation?
5.2 – 2)=7
(Imagine math)
Answer:
I'm pretty sure it's the to right one
Step-by-step explanation:
Explain how multiplying fractions and dividing fractions are alike and how they are different.
Answer:
Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).
Step-by-step explanation:
Example:
[tex]\frac{3}{4} * \frac{1}{5} = \frac{3}{20}[/tex]
[tex]\frac{3}{4}[/tex] ÷ [tex]\frac{1}{5} = \frac{3}{4} * \frac{5}{1} = \frac{15}{4}[/tex]
