Answers
Step-by-step explanation:
[tex] { \sqrt[3]{8} }^{ \frac{1}{4}x } = {2}^{ \frac{1}{4} x} = {8}^{ \frac{1}{3} \times \frac{1}{4}x } \\ = {8}^{ \frac{1}{12} x} \\ = { \sqrt[12]{8} }^{x} [/tex]
Related Questions
Select whether each equation is a linear equation in standard form. Select Yes or No for each equation.
Answers
Answer:
yes
Step-by-step explanation:
Move 4x to the right to get y= -4x + 5. This is a linear equation because the graph of it is a straight line.
A tank contains 3000 L of pure water. Brine that contains 15 g of salt per liter of water is pumped into the tank at a rate of 25 L/min. The concentration of salt after t minutes (in grams per liter) is C(t) = 15t 120 + t . As t → [infinity], what does the concentration approach? g/L
Answers
Answer:
15 g/L
Step-by-step explanation:
Since Brine is added to the tank containing 15g/L at a rate of 25 L/min, the rate at which the quantity of salt in the tank increases is 15 g/L × 25 L/min = 375 g/min. So, in t minutes, the mass of salt in the tank, m is 375 g/min × t min = 375t
Also, the volume of the tank increases by 25 L/min, in t minutes, its volume increases by 25 L/min × t min = 25t. So, the new volume, V is 3000 + 25t.
Since we know, concentration C(t) = m/V = 375t/(3000 + 25t)
dividing through by 25, we have
C(t) = 375t/25/(3000/25 + 25t/25)
C(t) = 15t/(120 + t)
To find the limit as t ⇒ ∞, we divide C(t) by t
C(t) = 15t/t/(120/t + 1)
C(t) = 15/(120/t + 1)
putting t = ∞, we have
C(∞) = 15/(120/∞ + 1)
C(∞) = 15/(0 + 1)
C(∞) = 15/1
C(∞) = 15 g/L
So, as t t → [infinity], the concentration approaches 15 g/L
160% of what number is 80% please help!
Answers
Solve the system of equations
-3x+y=-9
3x-y=9
Uh I think the answer is no solution???!? But I’m not sure, pls help.
Answers
Answer:
Infinitely Many Solutions
Step-by-step explanation:
-3x+y=-9
3x-y=9
--------------
0=0
A small box of muffins contains 2 blueberries, 1 cinnamon, and 3 chocolate. if a large batch of muffins contains 9 chocolate how many blue muffins are there?
PLS DO NOT JUST ADD THE ANSWER PLS ADD HOW U GOT IT TOO!!!
6th grade math
Answers
Answer: yo we have a problem
Step-by-step explanation:
im in 10th grade and i cant answer this problem 0.0
There are 45 students who participate in tennis. Of these, 18 do an event other than running. What percent of the students do an event other than running? *
Answers
Answer:
garal 45 students to participate in tennis out of this it into an event other than running what percentage of the students do another event it is 45 - 18 and you will get a number and that answer you multiply it by hundred and divide 100 then it will give you an answer
Answer:
[tex]40\%[/tex]
[tex] \frac{18}{45} \times 100[/tex]
[tex] \frac{18}{9} \times 20[/tex]
[tex]2 \times 20[/tex]
[tex] = 40[/tex]
Step-by-step explanation:
[tex]hope \: it \: helps \: you \: [/tex]
The area of this trapezoid is what?
Answers
Answer:
The area of this trapezoid is 8cm
Answer:
130
Step-by-step explanation:
first decompose the trapezoid into a square in the middle and 2 triangles on the left/right side, both triangles are congruent so you only find the area of one triangle, which is 9 because do 2x9 = 18/2 = 9, now let's move on to the middle square 14 x 18 = 112, then you add them all up remember there are 2 triangles,
112 + 9 + 9 = 130
Describe the pattern. Draw what might be the next three figures in the pattern
Answers
Answer:
i dont know lol
Step-by-step explanation:
A Starbucks manager has x pounds of coffee in stock. He sells 15 pounds and then
receives a shipment weighing 2y pounds. Which expression represents the weight of the
has?
Highlight
X-15-2y
O X+ 15 + 2y
O
x + 15 - 26
O
X - 15 + 2y
Answers
Answer: x - 15 + 2y
Step-by-step explanation:
A Starbucks manager has x pounds of coffee in stock and then sells 15 pounds. The amount of pounds of coffee left will be:
= x - 15
He then receives a shipment weighing 2y pounds. This means that the weight of the coffee he has will then be:
= x - 15 + 2y
Help as soon as possible, please.
Answers
Answer:
8 unitsStep-by-step explanation:
Let the center of the circle be point O.
Then
EC + EO = 13EC = 13 - EOThe length of EO is the side of triangle OEB.
Use Pythagorean theorem:
EO² + EB² = OB²EO² + 12² = 13²EO² = 169 - 144EO² = 25EO = √25EO = 5Find the value of EC:
EC = 13 - 5 = 8Help please. Questions down below
You have to fill in the mathematical sign that would make 24.
Have to use these: ÷ × + -
Answers
Answer:
((36 × 2 ÷ 3) - 12) × 2 = 24
Step-by-step explanation:
(36 × 2 ÷ 3 ÷ 12) - 2 = 0
((36 × 2 ÷ 3) - 12) × 2 = 24
1) Has zeros at -2 and 4, both being double roots
2) As x→∞, y→−∞
Answers
Not that if x= -2 and x=4 they will look like this in an equation: (x+2) and (x-4)
When (x+2) and (x-4) are set equal to zero and you solve for x, x will equal x= -2 and x=4
If they have double roots, they have a multiplicity of 2 (per root) meaning they will bounce off of the x-axis. Multiplicity can be found by using exponents.
The negative in front flips the function over the x-axis and holds true to the given limit.
Please help!
Mr. Bolden bought g guppies at a pet store for $3.00 each and paid with a $20 bill. Write an algebraic expression to represent how much change he will receive.
Answers
Answer:
C= 20-3g
Step-by-step explanation:
Given data
Mr. Bolden bought g guppies at a pet store for $3.00 each
cost = 3g
We are also given that the money paid is $20
Therefore let the change be c
The expression for his change is
[tex]C= 20-3g[/tex]
Please help me. Thank you
Answers
Answer:
AE - 3, EB - 2, EC - 5
Step-by-step explanation:
Use the Pythagorean theorem and you'll find that these are the answers.
I'll answer problem 19
=======================================================
Part (a)
The tickmarks on segments DE and DC indicate they are the same length. We're also told that |DC| = |DE| = 5.
So DE is also 5 cm long. Triangle DAE is a right triangle with the 90 degree angle at angle A. Let x be the length of segment AE.
We'll use the pythagorean theorem to find x
a^2 + b^2 = c^2
(AE)^2 + (AD)^2 = (DE)^2
x^2 + 4^2 = 5^2
x^2 + 16 = 25
x^2 = 25-16
x^2 = 9
x = sqrt(9)
x = 3
Segment AE is 3 cm long
=======================================================
Part (b)
For any rectangle, the opposite sides are parallel and the same length. This means AB = DC = 5 cm.
We found earlier that AE = 3 cm, so,
AE+EB = AB
3+EB = 5
EB = 5-3
EB = 2
Segment EB is 2 cm long
=======================================================
Part (c)
We know that AD = BC = 4 cm, because the opposite sides are the same length.
Earlier in part (b), we found that segment EB was 2 cm long.
Triangle EBC is a right triangle with legs EB = 2 and BC = 4. Let's apply the pythagorean theorem to find EC. Let y = EC.
a^2 + b^2 = c^2
(EB)^2 + (BC)^2 = (EC)^2
2^2 + 4^2 = y^2
4 + 16 = y^2
20 = y^2
y^2 = 20
y = sqrt(20)
y = sqrt(4*5)
y = sqrt(4)*sqrt(5)
y = 2*sqrt(5)
y = 4.4721359
As an exact value, EC is sqrt(20) or 2*sqrt(5) cm long.
As an approximate value, EC is roughly 4.4721359 cm long.
I would ask your teacher if you should use the exact or approximate value.
I also need help rq for questions number 3
Answers
Answer:
12 because 12 to the power of two will be 12 x 12 = 144, and 35 x 35 = 1225 which is b and 37 x 37 = 1369 which is c and is the answer so.. 144 + 1225 = 1369. SO 12 would fit!
90 students are participating in a contest. There are twice as many girls as boys in this group. Max ranks fourteenth from the top, and there are 10 girls who rank higher than him. How many boys rank lower than Max?
Answers
Answer: 57 boys
Step-by-step explanation: Lets break it down right
14th from the top with 10 girls in front which means 3 boys are in front and since there are twice as many girls as boys there are 60 girls and 30 boys so 3 boys are ahead which leaves 57 boys below him
I need to get h5h+11−h in it's simplest form.
Answers
Answer:
5h+11
Step-by-step explanation:
You add the like terms so 1h+5h-1h= 5h. Then you just add 11 into the equation
The perimeter of a rectangle is 84cm . It's longest side is 29cm. State the length of the shortest side
Answers
Answer:
13cm
Step-by-step explanation:
29x2=58
84-58=26
26÷2=13
84-58 is 26
26/2 is 13.
Therefore shorter side is 13
If you cut away a triangle of area 59cm^2,the remaining area will be 85cm^2.Find the length of the side of the square before it was cut.?
Answers
Explanation
let x be the original area
Thus x - 59 = 85
=> x = 85 + 59
x = 144
Since we know the original shape is a square and Area of a square = side x side.
Find side length:
A = a^2
But A = 144
144 = a^2
12 = a
So the side of the square b4 it was cut is 12 cm
solve the equation by factoring: 6x-0.2x^2=0
Please ill give brainliest to the correct answer
Answers
Answer:
The solution to the quadratic equation:
[tex]x=0,\:x=30[/tex]
Step-by-step explanation:
Given the equation
[tex]6x-0.2x^2=0[/tex]
6x - 0.2x · x = 0
Factor out common term -x
-x (0.2x - 6) = 0
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x=0\quad \mathrm{or}\quad \:0.2x-6=0[/tex]
solving
[tex]0.2x-6=0[/tex]
Multiply both sides by 10
[tex]0.2x\cdot \:10-6\cdot \:10=0\cdot \:10[/tex]
Refine
[tex]2x-60=0[/tex]
Add 60 to both sides
[tex]2x-60+60=0+60[/tex]
Simplify
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
Thus, the solution to the quadratic equation:
[tex]x=0,\:x=30[/tex]
What is the answer for this?
Answers
Step-by-step explanation:
im learning this too and I dont get it at all but use A app called Math. way
Answer:
3 =x 5 = y
Step-by-step explanation:
Using statistics shown you can infer that -2y + 12 = x
What is the value of x in the triangle? A. 21 B. 10 C. 7 D. 7√3
Answers
Working:
Tan(angle)=opposite/adjacent
Tan60 = x/7root3
x=7root3 x Tan60
Enter in calculator
x=21
Help it’s timed tooo...
Answers
Answer:
3
Step-by-step explanation:
Same sides
Find the sum.(62+5−3)+(2−9)
I will mark brainiest!
Answers
Answer:
57
Step-by-step explanation:
(62+5-3)+(2-9)
(67-3)+(-7)
64-7
= 57
PLZ HELP ILL GIVE 18 POINTS
Answers
Answer:
8 4/7
Step-by-step explanation:
the 4/7 is the fraction
x + 7 = 12
i'm lost pls help me
Answers
Answer:
5
Step-by-step explanation:
12 - 7 = 5
x= 5
.....................................
Find the value of x.
Answers
Answer:
B x=14
Step-by-step explanation:
fsjshfsrhzfhzhrsrhsrurhutjtsjtjttjstisyjsitsuy
The minute hand of a clock is 10 inches long . What is the linear speed in terms of pi of the tip of the minute hand in inches per minute?
Answers
Answer:
the speed is about 10 inches per minute
Step-by-step explanation:
Or you could say 1/6th Inch per second
Evaluate the expression. 9.12-5.28÷3.52
Answer
Answers
Answer:
=7.62
Step-by-step explanation:
Emily estimated it would take her 40 minutes to run 3 miles. It actually took her 30 minutes. What was Emily's percent of error for the time she estimated to run 3 miles? A. 26.7% B. 25.0% C. 33.3% D. 10.0%
Answers
Answer:
C. 33.3%
Step-by-step explanation:
Estimated time = 40 minutes
Actual time = 30 minutes
Percent of error = (estimated time - actual time) / actual time × 100
= (40 minutes - 30 minutes) / 30 minutes × 100
= 10 minutes / 30 minutes × 100
= 0.3333 × 100
= 33.3%
Percent of error = 33.3%
C. 33.3%