Answer:
Step-by-step explanation:
a
1.4
2
Lawrence wants to drive from Durban to Johannesburg 550 km. if he travels at
an average speed of 100 km/hr, how long does he tale to get there?
If he leaves at 08:42 what time will he arrive at his destination
1.5
2
Answer:
5 hr 30 minutes
2:12 pm
Step-by-step explanation:
s= 550km
v = 100km/hr
t = ?
SPEED = DISTANCE/ TIME TAKEN
or, v = s/t
or, 100km/hr = 550km/ t
or, t = 550/100
t = 5.5
t = 5 hrs 30 minutes
8:42
+5:30
13 :72
which is 14 :12 = 2 :12
Seth needs to buy mulch to cover a circular garden. The garden has a radius of 5ft. Mulch costs $0.25 per square foot. How much will it cost Seth to cover his garden in mulch?
Answer:
?????
Step-by-step explanation:
12x 0.25=? ?x 5= $?
Owen and Ethan have $175 together. How much money does each of them have if Ethan has $33 more than Owen.
Owen has $
Ethan has $
Answer:
Owen has $71 and Ethan has $104
Step-by-step explanation:
Create a system of equations where o is how much money Owen has, and e is how much Ethan has
x + e = 175
e = x + 33
Solve by substitution by plugging in o + 33 in as e, in the first equation
o + e = 175
o + (o + 33) = 175
2o + 33 = 175
2o = 142
o = 71
So, Owen has $71 dollars
To find how much Ethan has, add 33 to this, since he has $33 more than Owen
71 + 33
= 104
So, Owen has $71 and Ethan has $104
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
Find the area of each triangle, each dimension of the triangle shown below is measured in centimeters.
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]
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
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
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?
What is the mode of the data set?
A. 90
B. No mode
C. 85.5
D. 49
Hurry and give a SERIOUS answer! Will give brainliest.
Answer:
mode is the number listed most often and data can have more then 1 mode
the numbers most listed in the image are: 5 and zero
Step-by-step explanation:
I hope this helped!
Answer:
90
Step-by-step explanation:
mode = A number that appears most often is the mode.
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:
Below is the graph of a trigonometric function. It has a maximum point at (-5, 2.5) and a minimum point at
(-1.7, -4.5).
Answer:-1
Step-by-step explanation:
2.5+(-4.5) then / 2
Please help
here the question
Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account.
A)
Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks.
I ALREADY SOLVED A BUT I NEED HELP WITH B!!
B) Rosalina wants to save $700 for the new smart tv write and equation to determine how many weeks (x) it will take for rosalina to have enough money to purchase her new tv
HELP ME PLEASE WITH B I ALREADY SOLVED A
THANK YOU!!
Answer:x=18
Step-by-step explanation:
if she deposites 40 every week 40 times 18 is 720 so in 18 weeks she can have a t.V
Round the nearest hundredth. 53.789
Answer: 53.79
Step-by-step explanation:
Two lines, A and B, are represented by the following equations:
Line A: 2x + y = 6
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
a It is (2, 2).
b There are infinitely many solutions.
c It is (4, 0).
d There is no solution.
Answer:
The answer is B! if you want to do more of these problems may I recommend using Desmos?
Answer:
It is (2, 2).
Step-by-step explanation:
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
6×squared plus 15×plus 4×
Answer:
56
Step-by-step explanation:
6^2 = 36
36 + 15 = 51
51 + 4 = 56
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
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.
(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]
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.
Unit 10 circles homework 2 back side
P=(L+B), then B=_____?
Answer:
P = L+B
B = P-LHope it helps
Graph the line.
Y= 4/3 x
Answer:
hope this helps :)
Step-by-step explanation:
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:
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.
Learn more about tree diagram here:
https://brainly.com/question/13311154
#SPJ6
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