Answer:
7^5=16,807 and 4^5=1,024
A teacher writes the algebraic expression 24C + 5m + 19.99 to represent the cost
of supplies she purchased for her classroom. She bought 24 packages of colored
pencils, 5 packages of markers, and a beanbag chair. Identify any variables,
coefficients, and terms in the expression. Tell what each represents.
Answer:
variables: m ,c
coefficients, 24, 5
terms 24c,5m,19.99
24C represents the cost of the colored pencils
24 packages at a cost of c each
5m represents the cost of the markers
5 packages of markers at a cost of m each
19.99 for the bean bag chair
Step-by-step explanation:
24C + 5m + 19.99
variables: m ,c
coefficients, 24, 5
terms 24c,5m,19.99
24C represents the cost of the colored pencils
24 packages at a cost of c each
5m represents the cost of the markers
5 packages of markers at a cost of m each
19.99 for the bean bag chair
A solid is formed by rotating the region bounded by y = x − x^2 and y = 0 about the line x = 2 . Use the shell method to find the volume of the solid.
Answer:
The volume of the resulting solid is π/2 cubic units.
Step-by-step explanation:
Please refer to the diagram below.
The shell method is given by:
[tex]\displaystyle V = 2\pi \int _a ^b r(x) h(x)\, dx[/tex]
Where the representative rectangle is parallel to the axis of revolution, r(x) is the distance from the axis of revolution to the center of the rectangle, and h(x) is the height of the rectangle.
From the diagram, we can see that r(x) = (2 - x) and that h(x) is simply y. The limits of integration are from a = 0 to b = 1. Therefore:
[tex]\displaystyle V = 2\pi \int_0^1\underbrace{\left(2-x\right)}_{r(x)}\underbrace{\left(x - x^2\right)}_{h(x)}\, dx[/tex]
Evaluate:
[tex]\displaystyle \begin{aligned} V&= 2\pi \int_0 ^1 \left(2x-2x^2-x^2+x^3\right) \, dx\\ \\ &= 2\pi\int _0^1 x^3 -3x^2 + 2x \, dx \\ \\ &= 2\pi\left(\frac{x^4}{4} - x^3 + x^2 \Bigg|_0^1\right) \\ \\ &= 2\pi \left(\frac{1}{4} - 1 + 1 \right) \\ \\ &= \frac{\pi}{2}\end{aligned}[/tex]
The volume of the resulting solid is π/2 cubic units.
Answer:
pi/2
Step-by-step explanation:
I always like to draw an illustration for these problems.
For shells method think volume of cylinder=2pi×r×h
Integrate(2pi(2-x)(x-x^2) ,x=0...1)
Multiply
Integrate(2pi(2x-2x^2-x^2+x^3 ,x=0...1)
Combine like terms
Integrate(2pi(2x-3x^2+x^3) ,x=0...1)
Begin to evaluate
2pi(2x^2/2-3x^3/3+x^4/4) ,x=0...1
2pi(x^2-x^3+x^4/4), x=0...1
2pi(1-1+1/4)
2pi/4
pi/2
2. The cost of 5 pen is Rs 1200, find the cost of 1 pen.
Step-by-step explanation:
cost of 5 pen is Rs 1200,
cost of 1 pen is 1200/5 = Rs 240
Answer:
Rs 240
Step-by-step explanation:
1200÷5=240
1. A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population?
Answer:
Every person in the United States.
Step-by-step explanation:
how many years will it take for a sum of money to double at 10% compounded annually
Answer:
t=7.27 years
Step-by-step explanation:
Let the money be p and t will be the number of years that will be needed for the money to get double.
ATQ, 2p=p*(1+0.1)^t
2=(1.1)^t
log(2)/log(1.1)=t, t=7.27
3. A toy car is traveling with a velocity of 4 m/s and has a mass of 1120g. What is the car's
kinetic energy?
I need answering ASAP please and thank you
Answer:
one
Step-by-step explanation:
The red graph intersects the blue graph at one point
That is the number of solutions to the system
Answer:
one
Step-by-step explanation:
I had to do this question once. It was hard. I remember the answer. it is one. You have to trust me.
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 40 cm, find its area
Answer:
96
Step-by-step explanation:
The length of a rectangle is 4 cm longer than its width. If the perimeter of the rectangle is 40 cm, find its area
width + 4 = length
width = width
2l + 2w = p
width+width +width +width +4 +4 = 40
4width +8 = 40
4width = 32
width = 8
length x width = area
width = 8
length = 12 (width + 4)
12x 8 = 96
have a great day! I hope this helped! :)
What sum of money, invested at 9%
interest per year, is needed to provide an
income of $45 per year?
Answer:
$500
Step-by-step explanation:
Intrest = P. A * Intrest Rate * Time
Time = 1 year, Intrest Rate = 9%, P. A. is what we need to find, Intrest is 45
45=x*9/100*1, x=500
Answer:
500
Step-by-step explanation:
I = PRT where I is the interest, P is the amount invested, R is the rate and T is the time
We want 1 year at 9% to get 45 dollars in interest
45 = P ( .09) (1)
45 = .09P
Divide each side by .09
45/ .09 = P
500 =P
If Evan does a job in 168 hours and with the help of Emma they can do it together in 56 hours, how long would it take Emma to do it alone?
Which expression is the radical form of 1/5b
Answer:
1st option, ⁵√b
Step-by-step explanation:
b⅕
= ⁵√b (radical form)
Write an equation in slope-intercept from the line with slope 3/5 and y-intercept 1 . Then graph the line.
What is equation?
Answer:
y=(3/5)x+1
Step-by-step explanation:
Slope-intercept form of a line is as follows
y=mx+c, where m is the slope of the line and c is the y intercept.
Hence the equation of the line is y=(3/5)x+1
Solve for y in terms of x.
2/3y-4=x
A y= 3/2x+6
B y=-2/3x+4
C y=-3/2x+6
D 2/3x+4
Solve the equation for y. Identify the slope and y-intercept then graph the equation.
2y-3x=10
Y=
M=
B=
Please Include a picture of the graph and show your work if you can
Drug dosage is frequently based on a patient's weight. For example, 170 milligrams of a certain drug should be administered daily
for every 20 pounds of a patient's weight. Use this information to complete parts
a. What is the daily dosage for a woman who weighs 110 pounds?
Answer: 850.5 milligrams
Step-by-step explanation:
[tex]20*5= 850+.5=850.5[/tex]
That will be your answer please give me brainliest if you can!!!
divide 15 and 27 by 3, 6, 9
Answer:
15: 5, 2.5, 1.6666......
27: 9, 4.5, 3
Step-by-step explanation:
For 15:
So first you divide 15 by 5, which equals 3
Long division:
then by 6. 15/6 can be simplified to 5/2, which can be easier to figure out.
And by nine. 15/9 can be simplified to 5/3 which is harder than 5/2, but you can figure it out by long division. 3 fits once in 5, and there is two left over. Add a decimal after 1 and a zero after the two. 3 fits 6 times into 20 (18), but the cycle continues forever resulting in 1.666666.......
For 27:
27/3 is nine
for 27/6 you can simplify to 9/2, which is like 90/2=45, just move the decimal over one spot to make 4.5
for 27/9, the answer is 3
3 log2 (x+1) - 2 = 13
Answer:
Hello,
Answer 31
Step-by-step explanation:
[tex]3*log_2(x+1)-2=13\\\\3*log_2(x+1)=13+2\\\\log_2(x+1)=5\\\\\\x+1=2^5\\\\x=32-1\\\\\boxed{x=31}\\[/tex]
akram is 20 year old and his sister shazia is 15
1-what was the ratio of their ages before 4 years
2-what was the ratio of their ages after 5 years
3-what do the above two points explain about ratios
Answer:
1) akram : shazia
20-4 : 15-4
16 : 11
2) akram : shazia
20 + 5 : 15 + 5
25 : 20
5 : 4
3) ratios are not always constant
Find the area.
This is a triangle DEN. Side NE has a length of 37 meters. Side DN has a length of 36 meters. The altitude from point D measures 30 meters.
A. 1100 m²
B. 555 m²
C. 338 m²
D. 1066 m²
The area of a triangle is the product of its height and base divided by 2. The area of [tex]\triangle DEN[/tex] is [tex]555m^2[/tex]
Given that:
[tex]NE = 37[/tex]
[tex]DN = 36[/tex]
[tex]h = 30[/tex] --- altitude from point D
The altitude from point D will meet with side NE.
So, we have:
[tex]Base = NE = 37[/tex]
[tex]Height = 30[/tex]
The area of the triangle is:
[tex]Area = \frac{1}{2} \times base \times Height[/tex]
This gives:
[tex]Area = \frac{1}{2} \times 37 \times 30[/tex]
[tex]Area = 555[/tex]
Hence, the area of [tex]\triangle DEN[/tex] is [tex]555m^2[/tex]
Read more about areas of triangles at:
https://brainly.com/question/15442893
Answer:
B. 555 m²
Step-by-step explanation:
a rational number between 11 and 12
Answer:
11.1
11.2
11.3
11.4
11.5
11.6
11.7
11.8
11.9
Solve for X
Answer choices
4
5
8
3
2
Both are supplementary angles so their sum will be 180°
[tex]\\ \sf\longmapsto -2x+54=142[/tex]
[tex]\\ \sf\longmapsto -2x=142-54[/tex]
[tex]\\ \sf\longmapsto -2x=88[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-88}{2}[/tex]
[tex]\\ \sf\longmapsto x=-44[/tex]
Answer:
Answer:THE ANSWER IS 8 I HOPE IT WILL HELP YOU A LOT.
This pattern follows the rule add 9. What are the next 3 terms?
An image of a pattern. Term one has 9 triangles, term two has eighteen triangles, term three has twenty seven triangles.
Answer:
Next three terms after 27 are 36, 45 and 54. I hope this will help .
Geometry
B.5 Additive property of length 7RA
If TU = 4x, UV = 2x + 14, and TV = 7x – 5, what is UV?
T
4x
U
2x + 14
7x - 5
Simplify your answer and write it as a proper fraction, mixed number, or integer
Submit
Answer: UV = 52
Concept:
Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
TU = 4x
UV = 2x + 14
TV = 7x - 5
Given expression deducted from the additive property of length
TV = TU + UV
Substitute values into the expression
7x - 5 = 4x + 2x + 14
Combine like terms
7x - 5 = 6x + 14
Subtract 6x on both sides
7x - 5 - 6x = 6x + 14 - 6x
x - 5 = 14
Add 5 on both sides
x - 5 + 5 = 14 + 5
x = 19
Find UV by substituting the value of x
UV = 2x + 14 = 2 (19) + 14 = [tex]\boxed{52}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
add 10 and g, then subtract f from the result
Answer:
(10+g) -f
Step-by-step explanation:
Add 10 and g
10 +g
Subtract f from the result
(10+g) -f
In your own words tell how you can use the number line to add and subtract integers.
Answer:
We can use number lines for adding as well as subtracting integers. For doing this:
1. First mark the first integer on the number line.
2. Now to add a positive integer to this number, move to the right on the number line from this number.
3. In case you have to add a negative integer, move to the left on the number line from this number.
4. Subtracting an integer means adding its opposite and hence, if you have to subtract a positive integer from this number, move to the left on the number line from this number.
5. But if you have to subtract a negative integer from this number, move to the right on the number line from this number.
<3
1. What is the midpoint of AB?
Answer:
(-4, -1/2)
Step-by-step explanation:
The endpoints of AB are (-5,-4) and (-3,3)
To find the midpoints add the endpoints and divide by 2
(-5+-3)/2, (-4+3)/2
-8/2, -1/2
-4, -1/2
Helppppp plzzzzzzz!!!!!!!!!!! 15+ PTS and brainliest!!!!!!!!
Write the equation of the line with slope of 0, and y-intercept of 9.
Answer:
y=0x+9. Hope this helped.
Step-by-step explanation:
slope intercept form: y=mx+b
m represents slope
b represents the y intercept. Please give me the brainliest:)
solve the following system by any method
8x+9y=-5
-8x-9y=5
Here is your solution for the problem.
Thanks
point slope of the line equation, slope=4, passing through(7,2)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
apply your data
y-2 = 4(x-6)
Answer:
y−2= −2(x−7)
Step-by-step explanation:
khan academy says its right
help fast please
how far does light travel per second?
9514 1404 393
Answer:
3×10^8 m/s
Step-by-step explanation:
The desired speed is ...
[tex]\dfrac{\dfrac{9.45\times10^{15}\text{ m}}{\text{yr}}}{\dfrac{3.15\times10^7\text{ s}}{\text{yr}}}=\dfrac{9.45}{3.15}\times10^{15-7}\text{ m/s}=\boxed{3.00\times10^8\text{ m/s}}[/tex]
__
Your calculator can help you figure this out.
