A carpet is made with a blend of wool and other fibers. If the concentration of wool in the carpet is 75% and the carpet weighs
179 lb, how much wool is in the carpet?
Ib
Answer: 134.25 lb of wool in the carpet
Step-by-step explanation:
You must find 75% of the total weight.
|6x|+3=21 solve for X (absolute value)
Answer:
[tex]x=3\text{ or } x=-3[/tex]
Step-by-step explanation:
So we have the equation:
[tex]|6x|+3=21[/tex]
First, subtract 3 from both sides:
[tex]|6x|=18[/tex]
Definition of absolute value:
[tex]6x=18\text{ or } 6x=-18[/tex]
Divide both sides by 6 for both equations:
[tex]x=3\text{ or } x=-3[/tex]
And we're done!
Answer:
[tex]x=3[/tex] and [tex]x=-3[/tex]
Step-by-step explanation:
[tex]\left|6x\right|+3=21\\[/tex]
Subtract 3 to both sides:
[tex]\left|6x\right|+3-3=21-3\\|6x|=18[/tex]
Apply the absolute rule: If |a| = b and b > 0, a = -b or a = b.
Thus,
Case 1:
[tex]6x=18[/tex]
Divide both sides by 6:
[tex]x=3[/tex]
Case 2:
[tex]6x=-18[/tex]
Divide both sides by 6:
[tex]x=-3[/tex]
Please and thank you!
Answer:
b
Step-by-step explanation:
Need help please and other questions
Answer: Gear 14 or 14.3
Step-by-step explanation:
what is the differnce between ║-3║ and - 3.
the first number is only suppoased to have one line on each side
Answer:
l-3l=3 and -3=-3
Step-by-step explanation:
The two bars mean you are finding the absolute value of a number. Absolute value is the distance from zero a number is. Since distance is always positive it basically just means take away the negative if there is one. For example,
l-7l=7 and l8l=8. So the difference is -3 is negative while l-3l is positive.
Answer:
the first tem is greater than the second term so 3>-3
Step-by-step explanation:
you have to simplify the terms first.
3 is greater than -3
FIND THE RATE
PLSSSS HELPP ASSPPPP!!!!
Answer:
13
Step-by-step explanation:
26/2
39/3
78/6
130/10
146/12
All = 13
Answer: 13
Step-by-step explanation:
26/2
Question 2
In Question 1, what do you notice about the y-coordinates before and after a horizontal stretch? What do you notice about the x-coordinates
before and after a vertical stretch?
Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
PLATO sample answer
Mark me Brainliest plz
Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
plato answer
Simplify the expression of 23+4(x+2)
Answer:
31+4x
Step-by-step explanation:
23+4(x+2)
23+4x+8
23+8=31
31+4x
hope this helps you :)
pls give me brainlest ;)
Answer:
Simplify the expression of 23+4(x+2)
We distribute 4 (x+2)
So 23+ 4×x+4×2
So 23 +4x+8
We simplify
(we calculate the numbers with the numbers and we leave 4x like that because there is no other x with which to calculate)
SO 4x+31
If you cannot see the pic:
Points A,B, and C are collinear. Point B is between A and C. Find the length indicated.
BC = x + 15, AC = 14, and AB = x + 7.
Find AB
a) 4
b) 5
c) 3
d) 6
Answer:
A. 3
Step-by-step explanation:
Given,
[tex] BC = x + 15 [/tex],
[tex] AC = 14 [/tex]
[tex] AB = x + 7 [/tex], since A, B, and C are collinear, therefore, based on the segment addition postulate:
[tex] AB + BC = AC [/tex].
Thus, substituting the values into the equation, we have:
[tex] (x + 7) + (x + 15) = 14 [/tex]
Solve for x.
[tex] x + 7 + x + 15 = 14 [/tex]
[tex] 2x + 22 = 14 [/tex]
Subtract 22 from both sides
[tex] 2x = - 8 [/tex]
Divide both sides by 2
[tex] x = -4 [/tex]
[tex] AB = x + 7 [/tex]
Plug in the value of x
[tex] AB = -4 + 7 = 3 [/tex],
A chemist mixes 10 liters of 20% solution with x liters of a 35% solution. Which of the folling expressions represents the total number of
liters in the mixture?
Answer:
(10 + x) liters represents the total number of liters in the mixture
Step-by-step explanation:
Here, we want to find and expression representing the total number of liters in the solution; we proceed as follows;
The simple answer here is the sum of the liters of both solutions.
Mathematically, that would be 10 + x liters
We should understand that we do not have anything to do with the concentration of either solution and thus, the total amount in liters of both will be 10 + x liters
Solve this plss I need help :c
2/3(3х + 9) = - 2(2x + 6)
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}\left(3x+9\right)=-2\left(2x+6\right)[/tex]
Expand:
[tex]\frac{2}{3} *3x+\frac{2}{3} *9=-2*2x+(-2)(6)[/tex]
[tex]2x+6=-4x-12[/tex]
Subtract 6 from both sides:
[tex]2x+6-6=-4x-12-6[/tex]
[tex]2x=-4x-18[/tex]
Add 4x to both sides:
[tex]2x+4x=-4x-18+4x[/tex]
[tex]6x=18[/tex]
Divide both sides by 6:
[tex]\frac{6x}{6}=\frac{-18}{6}\\[/tex]
[tex]x=-3[/tex]
If you were to measure a person once a year, every year, from the ages of ten to twenty-five, would your ordered pairs of age and height represent a function? A. Yes B. No
Answer:
Yes.
Step-by-step explanation:
First, make a graph, or imagine one.
I'll be making an example graph that only goes up to 13 here.
Age - 10 11 12 13
Height
v
6ft
5ft
4ft
If we mark this graph with points, you will find that there is only 1 point on each age line!
Age - 10 11 12 13
Height
v
6ft *
5ft * *
4ft *
This means the answer is yes!
Answer:
yes
Step-by-step explanation:
i got the answer right on my test so i know its right
SHOW WORK !!! ILL GIVE YOU BRAINLIST !!!
Answer:
35y
Step-by-step explanation:
4 by the 5 power is 20
20 - 6 cause the 6 is negative but you could say 20 +-6 you'll still have to subtract
8 by the 2 power =16
then you take the plus sign and you add 20 + 16 = 36
then it says -1 for y
so you take out 1y
then that leave you with 35y
Answer:
Step-by-step explanation:
4(1)^5 - 6(1) + 8(1)^2 - 1
4 - 6 + 8 - 1
-2 + 8 - 1
6 - 1 = 5
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v>=2i-4tj^
. Find
A. The vector position of the particle at any time t,
B. The acceleration of the particle at any time t,
Given :
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj .
To Find :
A. The vector position of the particle at any time t .
B. The acceleration of the particle at any time t .
Solution :
A )
Position of vector v is given by :
[tex]d=\int\limits {v} \, dt\\\\d=\int\limits {(2i-4tj)} \, dt \\\\d=(2t)i+\dfrac{4t^2}{2}j\\\\d=(2t)i+(2t^2)j[/tex]
B )
Acceleration a is given by :
[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{2i-4tj}{dt}\\\\a=\dfrac{2i}{dt}-\dfrac{4tj}{dt}\\\\a=0-4j\\\\a=-4j[/tex]
Hence , this is the required solution .
Why are the following expressions not
monomials?
3xy^Z
1-2s
(ab)^1/2
3xy^z: exponent is not a nonnegative int.
r-2s: it is not a product
(ab)^1/2: exponent is not a nonnegative int.
Answer:
✔ exponent is not a nonnegative integer
✔ it is not a product
✔ exponent is not a nonnegative integer
The graph of y=−x+4 is shown below.
Answer:
Correct answer:
(−4,0)
(0,4)
(1,5)
Step-by-step explanation:
The points (0,4), (1,5), and (−4,0) are on the line and are solutions to the equation. The points (0,2) and (−4,−2) are not on the line and are not solutions to the equation.
Four hundred and seventy three thousand as a value of digits
Answer:
473,000
Step-by-step explanation:
:D
please see image above. can someone please explain how C and E are correct? i don’t understand because i thought it was B. tysm
Step-by-step explanation:
All u have to is subject t from that formula.
D=C( 1 + rt/100)
D/C = 1+ rt/100
D/C - 1 = rt/100
So,
When u multiply the equation by 100 and divide by r it will be as follows.
(D/C -1)100/r = t
It is the answer C.
And now to get the answer E,
we have the equation as t = (D/C-1) 100/r
First solve what inside the bracket.
D/C - 1
D/C - C/C
(D-C)/C
So when u put that to the above,
t= (D-C/C) 100/r
Now all u have to do is just multiply
t= 100(D-C) / Cr
The area of a square is numerically 60 more
than the perimeter. Find the length of the side.
A) 200 units B) 10 units
C) 50 units D) 40 units
Step by Step for this please.
Thank you, have a nice day.
Answer:
B) 10 units
Step-by-step explanation:
Area of a square is A = s², and perimeter of a square is P = 4s.
A = P + 60
s² = 4s + 60
s² − 4s − 60 = 0
(s + 6) (s − 10) = 0
s = -6 or 10
Since s can't be negative, s = 10 units.
Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, f\left(d\right)f(d), as a function of the number of days, dd, he has exercised with the new routine.
Complete question is;
Vincent goes to the gym for 30 minutes every day. He starts a new exercise routine on a Monday and uses a function to model the amount of calories he has used, f(d), as a function of the number of days, d, he has exercised with the new routine.
Which statement represents a correct interpretation of f(d) ?
A. f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his
new routine
B. f(10) = 3500 means Vincent will use 3,500 calories on day 10 of exercising with his new routine.
C. f(15) = 5250 means after 15 days of exercising with his new routine, Vincent has used 5,250 calories.
D. f(30) = 10500 means the number of calories Vincent has used times 30 is equal to 10,500
Answer:
Option A: f(5) = 150 means Vincent has exercised for a total of 150 minutes after the fifth day of exercising with his
new routine .
Step-by-step explanation:
We are told that f(d), is a function of the number of days, d, he has exercised with the new routine.
We are also told that he goes to the gym for 30 minutes daily.
Thus;
For option A, f(5) means that he went to the gym for 5 days. At 30 minutes per day means he exercised for a total of: 30 × 5 = 150 minutes. So option A is correct
For option B, f(10) means that he went to the gym for 10 days. At 30 minutes per day means he exercised for a total of: 30 × 10 = 300 minutes. Thus, option B is wrong
For option C, f(15) means that he went to the gym for 15 days. At 30 minutes per day means he exercised for a total of: 30 × 15 = 450 minutes. Thus, option C is wrong.
For option D, f(30) means that he went to the gym for 30 days. At 30 minutes per day means he exercised for a total of: 30 × 30 = 900 minutes. Thus, option D is wrong.
helpppppp nobody does this one either I don’t know whyyyyy
Answer:
-6±3i√2
Step-by-step explanation:
First we need to simplify the radical here which is √-288. We can make this i√288, and then further simplify by taking out 12 giving us 12i√2. Now we have
-24±12i√2/4
From here we just divide all the terms in the numerator by 4 and get -6±3i√2
Use (a) the midpoint rule and (b) simpson's rule to approximate the below integral. ∫ x^2sin(x) dx with n = 8.
Answer:
midpoint rule = 5.93295663
simpson's rule = 5.869246855
Step-by-step explanation:
a) midpoint rule
[tex]\int\limits^b_a {(x)} \, dx[/tex]≈ Δ x (f(x₀+x₁)/2 + f(x₁+x₂)/2 + f(x₂+x₃)/2 +...+ f(x[tex]_{n}[/tex]_₂+x[tex]_{n}[/tex]_₁)/2 +f(x[tex]_{n}[/tex]_₁+x[tex]_{n}[/tex])/2)
Δx = (b − a) / n
We have that a = 0, b = π, n = 8
Therefore
Δx = (π − 0) / 8 = π/8
Divide the interval [0,π] into n=8 sub-intervals of length Δx = π/8 with the following endpoints:
a=0, π/8, π/4, 3π/8, π/2, 5π/8, 3π/4, 7π/8, π = b
Now, we just evaluate the function at these endpoints:
[tex]f(\frac{x_{0}+x_{1} }{2} ) = f(\frac{0+\frac{\pi}{8} }{2} ) = f(\frac{\pi }{16})=\frac{\pi^{2}sin(\frac{\pi }{16}) }{256} =[/tex] 0.00752134
[tex]f(\frac{x_{1}+x_{2} }{2} ) = f(\frac{\frac{\pi }{8} +\frac{\pi}{4} }{2} ) = f(\frac{3\pi }{16})=\frac{9\pi ^{2} sin(\frac{3\pi }{16}) }{256}[/tex] = 0.19277080
[tex]f(\frac{x_{2}+x_{3} }{2} ) = f(\frac{\frac{\pi }{4} +\frac{3\pi}{8} }{2} ) = f(\frac{5\pi }{16})=\frac{25\pi ^{2} sin(\frac{5\pi }{16}) }{256}[/tex] = 0.80139415
[tex]f(\frac{x_{3}+x_{4} }{2} ) = f(\frac{\frac{3\pi }{8} +\frac{\pi}{2} }{2} ) = f(\frac{7\pi }{16})=\frac{49\pi ^{2} sin(\frac{7\pi }{16}) }{256}[/tex] = 1.85280536
[tex]f(\frac{x_{4}+x_{5} }{2} ) = f(\frac{\frac{\pi }{2} +\frac{5\pi}{8} }{2} ) = f(\frac{9\pi }{16})=\frac{81\pi ^{2} sin(\frac{7\pi }{16}) }{256}[/tex] = 3.062800704
[tex]f(\frac{x_{5}+x_{6} }{2} ) = f(\frac{\frac{5\pi }{8} +\frac{3\pi}{4} }{2} ) = f(\frac{11\pi }{16})=\frac{121\pi ^{2} sin(\frac{5\pi }{16}) }{256}[/tex] = 3.878747709
[tex]f(\frac{x_{6}+x_{7} }{2} ) = f(\frac{\frac{3\pi }{4} +\frac{7\pi}{8} }{2} ) = f(\frac{13\pi }{16})=\frac{169\pi ^{2} sin(\frac{3\pi }{16}) }{256}[/tex] = 3.61980731
[tex]f(\frac{x_{7}+x_{8} }{2} ) = f(\frac{\frac{7\pi }{8} +\pi }{2} ) = f(\frac{15\pi }{16})=\frac{225\pi ^{2} sin(\frac{\pi }{16}) }{256}[/tex] = 1.69230261
Finally, just sum up the above values and multiply by Δx = π/8:
π/8 (0.00752134 +0.19277080+ 0.80139415 + 1.85280536 + 3.062800704 + 3.878747709 + 3.61980731 + 1.69230261) = 5.93295663
b) simpson's rule
[tex]\int\limits^b_a {(x)} \, dx[/tex] ≈ (Δx)/3 (f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + 2f(x₄) + ... + 2f([tex]x_{n-2}[/tex]) + 4f([tex]x_{n-1}[/tex]) + f([tex]x_{n}[/tex]))
where Δx = (b−a) / n
We have that a = 0, b = π, n = 8
Therefore
Δx = (π−0) / 8 = π/8
Divide the interval [0,π] into n = 8 sub-intervals of length Δx = π/8, with the following endpoints:
a = 0, π/8, π/4, 3π/8, π/2, 5π/8, 3π/4, 7π/8 ,π = b
Now, we just evaluate the function at these endpoints:
f(x₀) = f(a) = f(0) = 0 = 0
[tex]4f(x_{1} ) = 4f(\frac{\pi }{8} )=\frac{\pi^{2}\sqrt{\frac{1}{2}-\frac{\sqrt{2} }{4} } }{16}[/tex] = 0.23605838
[tex]2f(x_{2} ) = 2f(\frac{\pi }{4} )=\frac{\sqrt{2\pi^{2} } }{16}[/tex] = 0.87235802
[tex]4f(x_{3} ) = 4f(\frac{3\pi }{8} )=\frac{9\pi^{2}\sqrt{\frac{\sqrt{2} }{4}-\frac{{1} }{2} } }{16}[/tex] = 5.12905809
[tex]2f(x_{4} ) = 2f(\frac{\pi }{2} )=\frac{\pi ^{2} }{2}[/tex] = 4.93480220
[tex]4f(x_{5} ) = 4f(\frac{5\pi }{8} )=\frac{25\pi^{2}\sqrt{\frac{\sqrt{2} }{4}-\frac{{1} }{2} } }{16}[/tex] = 14.24738359
[tex]2f(x_{6} ) = 2f(\frac{3\pi }{4} )=\frac{9\sqrt{2\pi^{2} } }{16}[/tex] = 7.85122222
[tex]4f(x_{7} ) = 4f(\frac{7\pi }{8} )=\frac{49\pi^{2}\sqrt{\frac{1}{2}-\frac{\sqrt{2} }{4} } }{16}[/tex] = 11.56686065
f(x₈) = f(b) = f(π) = 0 = 0
Finally, just sum up the above values and multiply by Δx/3 = π/24:
π/24 (0 + 0.23605838 + 0.87235802 + 5.12905809 + 4.93480220 + 14.24738359 + 7.85122222 + 11.56686065 = 5.869246855
What is an equation of the line that passes through the points (5,8) and (5,3)
Answer:
X= 5
Step-by-step explanation:
Write in slope-intercept form, y=mx+b.
Hope this helps!
Can you please help me with this
Answer:
im not sure on that one sorry
Step-by-step explanation:
Answer:
Q = 110
ST = 9
Step-by-step explanation:
Emily won 68 pieces of gum playing
hoops at her school's game night. Later,
she gave two to each of her friends. She
only has 6 remaining. How many friends
does she have?
Answer:
She has 31 Friends
Step-by-step explanation:
68 pieces of gum - 6 remaining = 62 for friends
62 pieces for friends /2 each friend gets 2 =31 Friends.
Answer:
Emily has 31 friends.
Step-by-step explanation:
If you do 31*2 it will give you 62. If you add 6 it will equal 68 which is the total. so the answer is 31.
PLS PICK ME A BRAINLIEST!!!!!
lim
t—>0 1-cos(2t) / sin^2 (11t)
Answer:
2/121
Step-by-step explanation:
Hello,
Hôpital's rule will help here.
[tex]\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2[/tex]
So the limit is 4/(2*121)=2/121
Thanks
Write an equation in slope-intercept form that passes through the point (3,7) and has a y-intercept of 4
Answer:
Step-by-step explanation:
(0, 4) (3, 7)
(7 - 4)/(3-0) = 3/3 = 1
y - 1 = x - 0
y = x + 1
|-2x+8|-5=-7 i need to find the value of variable
Answer:
x = -5
Step-by-step explanation:
Simplify: 2x + 8 - 5 = -7Subtract 8 from each side, so it now looks like this: 2x - 5 = -15Add 5 to each side, so it now looks like this: 2x = -10Divide each side by 2, to cancel out the 2 next to x. It should now look like this: x = -5I hope this helps!
The given point in on the graph of y=f(x). Find a point on the graph of y=g(x)
g(x) = f(x - 1); (7, 18)
Answer: b
Step-by-step explanation:
anser is b
What time do you wake up? Is it Quantitative data or categorical data?
Answer:Quantitative data
Step-by-step explanation:
Answer:
Quantitative data
*YELLS* Have A GOOD DAY SIR *SLAMS DOOR*lol I watch way to much Willy Wonka