Answer:
$490
Step-by-step explanation:
Since one hour of work is $12.25, 40 hours is $490.
12.25 x 40 = 490
------------------
John 8:12 - Jesus spoke to the people once more and said, “I am the light of the world. If you follow me, you won’t have to walk in darkness, because you will have the light that leads to life.”
Philippians 2:7-8 - but emptied Himself, taking the form of a bond-servant, and being made in the likeness of men. Being found in appearance as a man, He humbled Himself by becoming obedient to the point of death, even death on a cross.
The average value of a function f(x, y, z) over a solid region E is defined to be fave = 1 V(E) E f(x, y, z) dV where V(E) is the volume of E. For instance, if ???? is a density function, then ????ave is the average density of E. Find the average value of the function f(x, y, z) = 3x2z + 3y2z over the region enclosed by the paraboloid z = 4 − x2 − y2 and the plane z = 0.
Answer:
The average function [tex]f_{avg}[/tex] value = 4
Step-by-step explanation:
Given that:
[tex]f(x,y,z) = 3x^2z+3y^2z[/tex]
The enclosed region [tex]z = 4 -x^2 -y^2[/tex] and the plane z = 0.
Over an area E, the average value of a function f(x,y,z) is:
[tex]f_{avg} = \dfrac{1}{V_{E}} \iiint_E f(x,y,z) dV ------ (1)[/tex]
where;
[tex]V_E[/tex] = volume of region E
To find the volume use cylindrical coordinates;
[tex]x=rcos \theta; \ \ \ y = rsin \theta; \ \ \ z = z[/tex]
Then;
E = 0 ≤ r ≤2, 0 ≤ θ ≤ 2π, 0 ≤ z ≤ 4 - r²
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} \int^{4-r^2}_{0} \ rdzdrd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} r(4-r^2) \ drd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \int^{2}_{0} (4r-r^3) \ drd \theta[/tex]
[tex]V_E = \int^{2 \pi}_{0} \Big(2r^2- \dfrac{r^4}{4} \Big)^2_0 \ d \theta[/tex]
[tex]V_E = 4(2 \pi)\\\\ V_E = 8 \pi[/tex]
However, from equation (1):
[tex]f_{avg} = \dfrac{1}{V_E} \iiint_E f(x,y,z) \ dV \\ \\ = \dfrac{1}{8 \pi} \iiint_E (3x^2z + 3y^2 z) dV \\ \\ = \dfrac{1}{8 \pi } \int^{2 \pi}_{0} \int^{2 }_{0} \int^{4 - r^2}_{0} \ \ 3zr^2 \ rdzdrd\theta \\ \\ = \dfrac{3}{8 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} \Big(\dfrac{z^2}{2}\Big)^{4-r^2}_{0} \ r^3 drd\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (4-r^2)^2 \ r^3 \ dr d\theta[/tex]
[tex]= \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16-8r^2 + r^4)r^3 \ dr d\theta \\ \\ = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \int^{2 }_{0} (16r^3 -8r^5 + r^7) \ dr d \theta \\ \\ = = \dfrac{3}{16 \pi} \int^{2 \pi}_{0} \Big (4r^4 - \dfrac{8}{6}r^6 + \dfrac{r^8}{8} \Big)^2_0 \ d \theta \\ \\ = \dfrac{3}{16 \pi } (2 \pi) \Big (64 - \dfrac{8}{6} \times 64 \times \dfrac{256}{8} \Big) \\ \\ = \dfrac{3}{16 \pi} (2 \pi) (\dfrac{32}{3}) \\ \\ = 4[/tex]
4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?
student were asked to choose their favorite food and 5/6 chose either pizza or tacos if 2/6 of the students chose pizza what fraction chose tacos
Answer:
3/6 or 1/2
Step-by-step explanation:
the amount that chose pizza = 2/6
5/6 = the amount that chose pizza + the amount that chose tacos
5/6 = 2/6 + the amount that chose tacos
the amount that chose tacos = 5/6 - 2/6
the amount that chose tacos = (5-2)/6
the amount that chose tacos=3/6=1/2
Answer:
3/6
Step-by-step explanation:
(i will mark brainly)
Use the table to write a proportion.
Answer:
One proportion is 15 songs / 2.5 hours = 18 songs / h hours.
ok I'll try to answer
first the given 15/2.5=18/h
so the second hour is missing so we have to multiply cross then the result will be
15h=45
divide 15 for 15 and we got h
again divide 45 for 15
[h=3]
how does the stimulus check impact society please help me please i really need help please
People started getting stimulus checks during the time when c0vid-19 was a major issue because most places where people would work were closed, so people were getting money through stimulus checks because they were basically unemployed. This money went back into the economy to buy mostly essentials and health products, so therefore it helped businesses that sold these kinds of things.
6×squared plus 15×plus 4×
Answer:
56
Step-by-step explanation:
6^2 = 36
36 + 15 = 51
51 + 4 = 56
Angle A corresponds to Angle
OB
Oc
ОЕ
OD
none of the above
Answer:
A corresponds to angle E
Solve for the area of the triangle in each of the following problems.
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
9
Step-by-step explanation:
you would do 3+3+3 because there are 3 colors
And i just got it right on my quiz.
There will be 9 branches in the tree diagram of the situation.
What is tree diagram?In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.
Given,
A spinner of three sections colored green, purple and pink.
Number of outcomes = 3
spinner is spun twice,
then number of outcomes = 3 × 3 = 9
Number of branches in tree = 9
Hence, 9 branches will be there in probability tree diagram.
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Nathaniel is using the quadratic formula to solve 0 = x2 + 5x - 6. His steps are shown below.
What are the solutions to the attached equation?
Answer:
x = -6, 1
Step-by-step explanation:
x=[tex]\frac{-5+\sqrt{49} }{2}[/tex] or x= [tex]\frac{-5-\sqrt{49} }{2}[/tex]
x=[tex]\frac{-5+7}{2}[/tex] or x=[tex]\frac{-5-7}{2}[/tex]
x=2/2 or x=-12/2
x = 1, -6
howdy!!
yr answer is B. x = -6, 1
goodluck on edge!! ^_^
Susie says that it she has a quick way to determine the least common multiple of two numbers; you just multiply the numbers. Susie checked it with 3 and 5 and with 4 and 7 and method worked both times. Is Susie’s method a valid way to determine the least common multiple of two counting numbers? Explain.
Answer:
No, it is not a valid way
Step-by-step explanation:
Required
Is Susie's method valid?
Susie's method worked because 4 & 7 and 3 & 5 do not have a common factor.
In other words, Susie's method will not work when the two numbers have a common factor.
Take for instance, the LCM of 2 and 4.
Using Susie's method, the LCM will be 8 (i.e. 2 * 4) whereas the LCM is 4.
Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.
Answer:
-14x + 34y
Step-by-step explanation:
First, find the sum of the two expressions by adding like terms:
(15x + 15y) + (-18x + 15y)
= -3x + 30y
Now, subtract 11x - 4y, again by combining like terms:
(-3x + 30y) - (11x - 4y)
= -14x + 34y
So, the answer is -14x + 34y
How is this happening i was only gone for 2 weeks
Answer:
step it up dont lack
Step-by-step explanation:
keep answering and helping others
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
What is the scale factor from LMN to OPO?
A.1
Β. 4
C. 3
D. 0
Answer:
A. 1
Step-by-step explanation:
Does anyone have the answer key to this? Need it ASAP!
The Distance between point A and Point B is √10 units.
What is Distance?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, Coordinates of A is (1, 8) and B is (4, 9).
Distance formula = √(x₂-x₁)² + (y₂-y₁)²
= √(4 - 1)² + (9 - 8)²
= √9 +1
AB = √10
Thus, the Distance between point A and Point B is √10 units.
Learn more about Distance from:
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What causes a sequence to be arithmetic? Geometric?
Answer:
An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.
Step-by-step explanation:
does anyone know the answer and how to show your work
Answer: (A)-2, -1
(b) 3,0
(C) 7,2
Step-by-step explanation:
So you just go and write the place and which ever one isnt there then theres you answer. I THINK
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
36?
Step-by-step explanation:
split in two, triangle 6x6=36/2=18, rectangle 6x3=18, whole 18+18=36 your answer is 36
Answer:
it's 36 square feet
Step-by-step explanation:
PLEASE HELP WITH THESE QUESTIONS! WILL GIVE 100 POINTS!
1. a single die is rolled two times. what is the probability that the next role will role four?
2. toms scores were: 80,80,70 and 90. what was his weighted average if the tests were weighted at 1,2,3,4 and 4 respectively?
Answer:
1. 1/6 2. 80
Step-by-step explanation:
Answer:
Step-by-step explanation:
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
Graph the line.
Y= 4/3 x
Answer:
hope this helps :)
Step-by-step explanation:
In the year 2003, a person bought a new car for $18500. For each consecutive year after that, the value of the car depreciated by 12%. How much would the car be worth in the year 2005, to the nearest hundred dollars?
Answer:
Step-by-step explanation:
t is the number of years since 2003.
f(t) = $18,500×0.88^t
t = 2 in 2005
f(2) = $18,500×0.88²≅ $14,300
Answer:
$14300.00
Step-by-step explanation:
100 - 12 = 88%
88% = 0.88
$18500 x 0.88² = $14326.40
To the nearest hundread:
$14326.40 = $14300.00
0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.
Hope this helps!
Mathematics challenge
Get the equation of the line containing PQ using the point-slope formula:
y - (-2) = 3/2 (x - (-6))
Solve for y to get it in slope-intercept form:
y = 3/2 x + 7
so the y-intercept is (0, 7).
The line containing QR is then
y - 7 = -3/4 (x - 0)
or
y = -3/4 x + 7
The point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
3/4 x = 7
x = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
Point R is on the x-axis, so its y-coordinate is 0. Plug in y = 0 and solve for x to get the other coordinate:
0 = -3/4 x + 7
Take off the zero...
3/4 x = 7
Answer
x = 4/3×7 = 28/3
And there it is
Point R has the coordinates (28/3, 0).
Step-by-step explanation:
Please help ASP!!!! A= positive, B=Negative, C=Zero
Answer:
B. Negative
Step-by-step explanation:
So first, we want to locate the variable.
y (x/y) = (y/1) (x/y)
= (xy/y)
= x
The y/y cancels out and now we know we need to find the sign of x. Because x is to the left of 0, it's negative. Anything to the left decreases and anything to the left of 0 is (-).
Joe bought four books at a bookstore. Here are their prices (in dollars). 7.34, 11, 13.2, 5.3 What is the total amount Joe paid at the bookstore?
Answer:
36.84
Step-by-step explanation:
just add them it is all really just basic addition nothing more to it
58% of a $148 selling price goes toward paying expenses. How many dollars of the selling price is profit?
Answer:
62.16
Step-by-step explanation:
The polynomial - 16 + v.t+s, represents the height (in feet) of an object, where v, is the initial vertical
velocity (in feet per second), s, is the initial height of the object (in feet), and is the time in seconds). Write a polynomial that represents the
height of the object. Then find the height of the object after 1 second.
Complete question is;
The polynomial -16t² + v_o(t) + s_o represents the height (in feet) of an object, where v_o is the initial vertical
velocity (in feet per second), s_o is the initial height of the object (in feet), and t is the time in seconds. Write a polynomial that represents the height of the object that has an initial velocity of 25 ft/s and initial height of 4ft. Then find the height of the object after 1 second.
Answer:
A) Polynomial is h(t) = -16t² + 25t+ 4
B) h(1) = 13 ft
Step-by-step explanation:
A) We are given;
h = -16t² + v_o(t) + s_o
Where;
v_o = the initial vertical velocity
s_o = the initial height of the object
t = the time
We are given;
v_o = 25 ft/s
s_o = 4 ft
Thus, polynomial that represents the height is;
h(t) = -16t² + 25t+ 4
B) after a time of 1 second, height is;
h(1) = -16(1²) + 25(1) + 4
h(1) = -16 + 25 + 4
h(1) = 13 ft
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
Which of the following is NOT a solution to the system of inequalities?
Answer:
(2;-2)
Step-by-step explanation:
for more details see the attached picture.