By taking the quotient between the volumes, we conclude that he must use the blue cup 16 times or the green cup 4 times.
How many times does he need to use each cup?
The volume of the sink is 512π in^3.
The blue cup is a cylinder of diameter = 4 in and a height = of 8 in, then its volume is:
V = π*(4in/2)^2*8in = 32π in^3
The number of times that he needs to use this cup is given by:
N = (512π in^3)/(32π in^3) = 512/32 = 16
He needs to use 16 times the blue cup.
The green cup has a diameter =of 8in and a height = of 8in, then its volume is:
V' =π*(8in/2)^2*8in = 128π in^3
The number of times that he must use this cup is:
N' = (512π in^3/ 128π in^3) = 512/128 = 4
He needs to use 4 times the green cup.
hope it helps
have a good day :)
In a certain state, speeding fines are determined by the
formula F = 5 (X-60 + 40, where F is the cost in dollars of the
fine if a person is caught driving x miles per hour. How fast a person was speeding if the fine comes to $115?
Step-by-step explanation:
If u casually solve the given equation by putting 115 instead of 'F' u will get the value of 'X' which is 43 and i guess it's the answer
can someone help me with this and i have more of these i need help on
Answer:
Square
Step-by-step explanation:
Hope this helps!
Answers:
Choice A) SquareChoice B) PentagonChoice D) TrapezoidChoice E) HexagonChoice F) RectangleChoice G) TriangleIn other words, it's nearly everything except choice C (octagon).
==========================================================
Explanation:
Search out "Cross sections of a cube" and you'll see visual examples of what is possible.
Here are the list of possible cross sections
SquarePentagonTrapezoidHexagonRectangleTriangleA parallelogram is also possible, but that isn't one of the listed choices so we can ignore it. The triangle can either be equilateral or won't be, depending how the cross section plane is oriented.
Nearly every box is checked except for the octagon, because we simply don't have enough faces to get 8 sides needed for the cross section.
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for
$17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
Answer:
25.86
Step-by-step explanation:
22 * 5 = 110
50 * 3 = 150
17 * 6 = 102
110 + 150 + 102 = 362
362 / 14 = 25.86
2. Bart sold 5 more than 3 times as many refrigerators last month than the number of
refrigerators sold by Bill. If together they sold 125 refrigerators last month, how many did
each person sell?
Answer:
Bart 95 bill 30
Step-by-step explanation:
Bill=b
Bart = (3b+5)
b+ (3b+5) = 125
4b=120
b=30 Bill sold 30 refrigerators
3(30)+5 = 95 (Bart sold 95 refrigerators)
95+30=125
Rachel made $176 for 11 hours of work.
At the same rate, how many hours would she have to work to make $128?
Answer:
8 hours
Step-by-step explanation:
11 hours = $176
⇒ 1 hour = $176 ÷ 11 = $16
To determine how many hours she would have to work to make $128, divide $128 by $16:
⇒ number of hours = $128 ÷ $16
= 8 hours
___________________________________________________
Calculate[tex]\frac{128\times11}{176}[/tex]
___________________________________________________
Cross out the common factor[tex]\frac{8\times11}{11}\\ 8[/tex]
I hope this helps you
:)
If you owned 2,000 shares of Exxon Mobile stock, how much dividend did you receive? Use the stock table below to find
your answer.
Name
Exxon Mobil
Symbol
XOM
Close
$82.80
Day Range
$82.47-$83.23
52-Week Range $80.30-$95.55
Volume
7,513,630
P/E
34.50
Dividend
$3.08
Dividend Yield
3.7%
EPS
$2.40
Answer:
$6,160
Step-by-step explanation:
The total amount of dividend received is the product of the number of shares and the dividend per share:
(2000 shares) × ($3.08/share) = $6,160.00 . . . dividend received
Find the value of y.
Answer:
this is your answer hope u like it
I sold 853 raffle tickets at 5 for $20. How much money did I make?
Answer:
17,060$
Step-by-step explanation:
#CarryOnLearning Free to ask
For which values of x is the expression undefined
Answer:
x = -7
Step-by-step explanation:
Any expression is undefined when a nonzero number is in the numerator and the denominator = 0. For this expression, set the denominator = to 0 and solve for x:
x + 7 = 0
x = -7
At x = -7, this expression is undefined.
I hope this helps!
Helpp. Mee\\\..........
Answer:
may not be exact
1- surveying every fifth student who walks in
2-randomly selected people of both genders
3-asking 8 random students from each second period
4-asking 4 girls and 4 boys from each~~
5-randomly choosing a page and counting the words
Step-by-step explanation:
1-explanation; the first one is skewed two 7th graders, the third one is skewed to volleyball players, the fourth one is skewed to eight graders
Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ < 360°.)
= 6i + 2sqrt3j
[tex]6i~~ + ~~2\sqrt{3}j\implies < \stackrel{a}{6}~~,~~\stackrel{b}{2\sqrt{3}} > \\\\[-0.35em] ~\dotfill\\\\ \stackrel{magnitude}{\sqrt{a^2+b^2}}\implies \sqrt{6^2+(2\sqrt{3})^2}\implies \sqrt{36+(2^2\cdot 3)}\implies \sqrt{36+12}\implies \sqrt{48} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{direction}{tan^{-1}\left( \cfrac{b}{a}\right)}\implies tan^{-1}\left( \cfrac{2\sqrt{3}}{6} \right)\implies tan^{-1}\left( \cfrac{\sqrt{3}}{3} \right) \\\\\\ tan^{-1}\left( \cfrac{1}{\sqrt{3}} \right)\implies 30^o[/tex]
30
According to a survey at a local mall, 32% of the shoppers jog at least 3 days per week. Sam
asked 15 people at the mall whether they jog at least 3 days per week, and 8 people said yes.
Based on the survey, how many people should Sam have expected to say yes?
A
3
B 5
С
7
D 10
to know the most imnortant reason that neonle choose their brand of
Using the binomial distribution, it is found that Sam should have expected 5 people to say yes.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.The expected value is given by:
E(X) = np.
In this problem:
15 people were sampled, hence n = 15.32% of the shoppers jog at least 3 days per week, hence p = 0.32.Hence, the expected value for the number of people that say yes is given by:
E(X) = np = 15 x 0.32 = 5.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Determine the correct answer to the following
system of equations:
=
3x – y = 2
-2x + 4y = -8
Answer:
(0,-2)
Step-by-step explanation:
one way to solve...
3x - y = 2 --> *4
-2x + 4y = -8
multiply the first equation by 4
12x - 4y = 8
-2x + 4y = -8
-----------------
10x = 0
x = 0
y = -2
this method is called elimination
another way to solve...
3x - y = 2 simplify for y to get y = 3x - 2
-2x + 4y = -8 substitute y into this equation to solve for x
-2x + 4(3x - 2) = -8
-2x + 12x - 8 = -8
10x = 0
x = 0
y = -2
substitution
alsoo if there are options, just plug in the numbers to the correct variables
Answer:
3xy=2 2x4y=8
3x2=6x8=48x8
Which of the following q values satisfies: 6-3q≤1
Q=0
Q=1
=
Q=2
Answer:
Q = 2
Step-by-step explanation:
6-3(2) = 0
0 ≤ 1
PLEASE HELP
find the area
Answer:
372
Step-by-step explanation:
This is because the formula is a+b/2 x h and 7 is a 24 is b and the other 24 is h so 7 + 24 = 31/2 x 24 is 312
can someone help with this pls:)!!!!
Answer:
-8.5
Step-by-step explanation:
no step involved just trace 2 out from y-axis
Write the standard equation of the circle with the center (-14,-5) that passes through the point (-7,5).
equation: (x + 14)² + (y + 5)² = 149
Given:
centre : (-14,-5)point (-7,5)=============
Formula's:
(x-h)² + (y-k)² = r²centre : (h, k)radius : rdistance between points : [tex]\sf \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]Find the radius:
[tex]\rightarrow \sf \sqrt{(-7-(-14))^2 + (5-(-5))^2}[/tex]
[tex]\sf \rightarrow \sqrt{\left(-7+14\right)^2+\left(5+5\right)^2}[/tex]
[tex]\sf \rightarrow \sqrt{149}[/tex]
Equation of circle:
(x-h)² + (y-k)² = r²(x-(-14))² + (y-(-5))² = (√149)²(x + 14)² + (y + 5)² = 149Graph for clarification:
Answer:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
Step-by-step explanation:
Standard equation of a circle: [tex]\sf (x-a)^2+(y-b)^2=r^2[/tex]
(where (a, b) is the center and r is the radius of the circle)
Substitute the given center (-14, -5) into the equation:
[tex]\sf \implies (x-(-14))^2+(y-(-5))^2=r^2[/tex]
[tex]\sf \implies (x+14)^2+(y+5)^2=r^2[/tex]
Now substitute the point (-7, 5) into the equation to find r²:
[tex]\sf \implies ((-7)+14)^2+(5+5)^2=r^2[/tex]
[tex]\sf \implies (7)^2+(10)^2=r^2[/tex]
[tex]\sf \implies 149=r^2[/tex]
Final equation:
[tex]\sf (x+14)^2+(y+5)^2=149[/tex]
please help! (math)
Which expression is equivalent to the one below?
-1/2(10+1/4)
Answer:
B
Step-by-step explanation:
-½(10+¼)
-½*10 + -½*¼
-5 + -⅛
-5-⅛
Don't forget a positive and negative makes a negative
HELPPPPPP PLEASEEE PLEASEEEEEEEEEEEEEEEEEE
Answer:
31.63495408
Step-by-step explanation:
Find area of trinagles and semicurucles and then add up
Answer:
31.625 ft²Step-by-step explanation:
It is assumed we need to find the area of shaded figure.The figure comprises of two semicircles and a triangle.
The two semicircles add to one full circle with the diameter of 5 ft.
Area of circle
A = πr² = 3.14*(5/2)² = 19.625 ft²Area of triangle
A = 1/2bh = 1/2(6)(4) = 12 ft²Total area
19.625 + 12 = 31.625 ft²I NEED HELP ASAP
QUESTION BELOW
Answer:
Circumference ≈ 50.27
Area ≈ 201.06
Step-by-step explanation:
The circumference of a circle is [tex]2\pi r[/tex] while the area of the circle [tex]\pi r^{2}[/tex]
Since the diameter is the radius multiplied by 2, the radius of the circle is 8. So substituting 8 for r, the circumference is 2 × [tex]\pi[/tex] × 8, which is approximately 50.27 (rounded to the nearest hundredth) and the area of the circle would be [tex]\pi[/tex] × 8². 8² is 64 so 64 times pi is approximately 201.06 (rounded to the nearest hundredth)
Write 8.6 × 10–3 as a basic numeral.
Answer:
[tex]8.6\times 10^{-3}=0.0086[/tex]
Step-by-step explanation:
Select ALL of the expressions that are equivalent to 4√5.
A. 2√20
B. 6^1/2-5^1/2
c. 3*5^1/2+5^1/2
D.4*5^1/2
E.2√10
F.3*5^1/2
Answer:
A, C, D
All 3 of those simplfiy to 4√5
What is the value of h?
21 + h = 345
Answer:
324
Step-by-step explanation:
21 + h = 345
group like terms
h = 345 - 21
h = 324
Answer:
h=324
Step-by-step explanation:
21+h = 345
(Substituting the equation)
h=345 - 21
h= 324
!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!
16. An online magazine charges $45,000 for a 3-month contract for a banner ad
displayed above its weekly feature article. The magazine has 120,000
subscribers and gets 195,000 hits per day. What is the banner's cost per
subscriber if a banner ad was taken for a year?
Answer:
$1.50
Step-by-step explanation:
There are 4 3-month periods in a year.
$45,000 per 3 months period × 4 = $180,000 cost
$180,000 ÷ 120,000 subscribers = $1.50
The banner ad costs about $1.50 per subscriber
Please help me with Part C of this question
Answer:
14-18 minutes
Step-by-step explanation:
Part a is 32 inches per minute
part b is 252 inches per minute
The question asks the change in elevation fastest, in part b 252 is greater than 32 so 14-18 minutes is the answer.
Answer:
14-18 minutes
Step-by-step explanation:
Part a is 32 inches per minute and part b is 252 inches per minute
this question asks the change in elevation fastest, in part b 252 is greater than 32 so 14-18 minutes is the answer.
1.Measurement of segment QR is 2Measurement of segment TS is 3.Measurement if segment QT is
4 The vallue of x is 5 the value of y is
In a parallelogram, opposite sides are of equal measure.
QR = TS
find x
5(x) - 1 = 2(x) + 55(x) - 2(x) = 5 + 13(x) = 6x = 21)
QR:5(x) - 15(2) - 110 - 192)
QR = TS = 9Find value of y:
QT = RSy + 8 = 3(y) - 2y - 3(y) = -2 - 8-2(y) = -10y = 53)
QT:
y + 85 + 8134)
if x = 5
means the diagram is enlarged.
scale factor = 5/2 = 2.5then y will be:
2.5 * 5 = 12.5We need x and y
Opposite sides of a parallelogram are equal
QR=TS5x-1=2x+53x=6x=2And
RS=QT3y-2=y+82y=10y=5Hence
QR=TS=5x-1=5(2)-1=9RS=QT=y+8=5+8=13#3
Segment QT is 4
so
y+8=4y=4+8y=12Another way
x is 5old x is 2So
scale factor:-
k=5/2=2.5Find y
y=5ky=5(2.5)y=12.5Use the following statement to answer parts a) and b). One hundred raffle tickets are sold for $3 each. One prize of $500 is to be awarded. Winners do not have their ticket costs of $3 refunded to them. Raul purchases one ticket.
a) Determine his expected value.
b) Determine the fair price of a ticket.
Using the expected value of a discrete distribution, it is found that:
a) His expected value is of -$2.5.
b) The fair price of a ticket is of $0.5.
What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
In this problem, the distribution for the net value of the ticket is:
P(X = 497) = 1/1000.P(X = -3) = 999/1000.Item a:
The expected value is given by:
[tex]E(X) = 497\frac{1}{1000} - 3\frac{999}{1000} = -2.5[/tex]
His expected value is of -$2.5.
Item b:
With an unknown ticket price, the distribution is:
P(X = 500 - x) = 1/1000.P(X = -x) = 999/1000.The game is fair if E(X) = 0, hence:
[tex]\frac{500 - x}{1000} - \frac{999x}{1000} = 0[/tex]
0.5 - x = 0
x = 0.
The fair price of a ticket is of $0.5.
More can be learned about the expected value of a discrete distribution at https://brainly.com/question/24855677
 A soccer coach is passing out water bottles to the team after practice. The water comes in 12-ounce bottles. If the soccer coach hands out 1,152 ounces of water to 32 players, how many bottles will each player get?
Answer:
Step-by-step explanation:
N 32 players
Q1. 12 onces bottles
Q2. 1.152 onces water
N bottle?
1.152/12= 96 (number of bottles)
96/32=3 (number por player)
PLEASE HELP 100 POINTS AND BRAINLY
Answer:
Step-by-step explanation:
Answer:
(2 , 2) is the solution
Step-by-step explanation:
7x - 4y = 6
-6x + 7y = 2
49x - 28y = 42
-24x + 28y = 8
25x = 50
therefore
x = 2
7x - 4y = 6
7×2 - 4y = 6
14 - 4y = 6
14 - 6 = 4y
8 = 4y
8 ÷ 4 = 4y ÷ 4
2 = y
therefore
x = 2
y = 2
hope this will helpful to you....
A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?
Enter your answer rounded to the nearest hundredth, like this: 4.23