Anthony's sink is shaped like a half-sphere, and it has a volume of 700m cubic inches.
It is completely full of water, and he has two different cylindrical cups he can use to
scoop it out
The blue cup has a diameter of 4 in. and a height of 8 in., and the green cup has a
diameter of 8 in. and a height of 8 in.. How many cupfuls of water will it take for him
to empty his sink using each cup?
You will need to use the small cup 9 times or the larger cup 2 times.
How many cups he needs to use of each one?
The volume of the sink is 700 in^3
The smaller cup is a cylinder with a diameter of 4 in and a height of 8 in, its volume is:
V = 3.14*(4in/2)^2*8in = 100.48 in^3
To remove all the water in the sink you will need:
N = 700 in^3/100.48 in^3 = 6.97 = 7
You will need to scoop the water 7 times.
For the larger cup, the diameter of 8 in and a height of 8 in, its volume is:
V' = 3.14*(8in/2)^2*8in = 401.92 in^3
You will need to scoop the water:
N' = 700 in^3/401.92 in^3 = 2 times.
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
This hard anyone help?
Answer:
Step-by-step explanation:
A journeyperson earns $28.75 per hour. A new apprentice earns 60% of the journeyperson's rate.
What would be the apprentices weekly net earnings be for a 40-hour week if there were 27% deductions?
Answer:
$503.70
Step-by-step explanation:
$28.75 × .6 = $17.25
$17.25 × 40 = $690
$690 × .27 = $186.30
$690 - $186.30 = $503.70
What are the x-intercepts of this conic section?
(−3, 0) and (3, 0)
no x-intercepts
(0, −3) and (0, 3)
(−3, 3) and (3, −3)
Answer:
(x, y) = (-3, 0) and (3, 0)
Step-by-step explanation:
The x-intercepts of any relation are the points where the graph crosses the x-axis. The y-coordinate there is always 0.
This graph crosses the x-axis at x = ±3. The x-inercepts are ...
(x, y) = (-3, 0) and (3, 0)
simplify the expression 30x^6/3x^-2
Answer:
[tex]30x^{4}[/tex]
Step-by-step explanation:
16+32 as a product of two factors using gif and distributive property
16 + 32 = 16 x 1 + 16 x 2 = 16 x (1 + 2)
Choose the set of numbers with an average of 8.
A) 3, 5, 7, 8, 12
B) 2, 3, 6, 13, 16
C) 2, 4, 8, 11, 20
Answer:
B
Step-by-step explanation:
A) (3+5+7+8+12)/5 = 35/5 = 7 => Incorrect
B) (2+3+6+13+16)/5 = 40/5 = 8 => Correct
C) (2+4+8+11+20)/5 = 45/5 = 9 => Incorrect
what is the answer to the equation 1 1/2 x 3/4 + 1/78 = 9/8 x 5/8
11/2*3/4+1/78=9/8*5/8
5.5*3/4+1/78=9/8*5/8
16.5/4+1/78=9/8*5/8
4.125+1/78=9/8*5/8
4.125+0.013=9/8*5/8
4.125+0.013=1.125*5/8
4.125+0.013=5.625/8
4.125+0.013=0.703
4.138=0.703
the answer is 4.138=0.703
hope this helps
Please help me ASAP
( I will mark brainliest )
6 - 1 x 0 + 2 ÷ 2
Help meeee
Answer:
Answer is 1
Step-by-step explanation: 6-1= 5 5x0=0 0+2=2 2 divided by 2 is= 1
I need help on this question can someone help.
Answer:
G. (8,6)
Step-by-step explanation:
remember that EF is four times the length of DE
so the distance between E and D multiplied by 4 should equal F
Scott is 5 years old. His Aunt Mary
is 4 times as old. In how many
years will Scott be half as old as
his aunt will be at that time?
Right now, Scott is 5.
His Aunt Mary is 4*5 = 20
We can solve this algebraically if your teacher requires to.
In x years, Scott will be half as old as his Aunt right now (which is 20).
5+x= 20/2
5+x=10
x=5
In 5 years Scott will be half as old as his aunt was.
2 points
Daria earns h dollars per hour at the grocery store. She works 9 hours per week. She writes the expression 9 • h • 4 to represent how much
money she earns in a four-week month. Daria's boss writes the expression 36h. Which person's expression tells you how many hours Daria
works per four-week month? EXPLAIN YOUR REASONING.
Answer:
Daria's boss expression
Step-by-step explanation:
Her boss expression because it's asking about the hours worked per four week month. Daria's expression represents the 9 hours she works per week for the 4 weeks in the month.
Her boss expression represents the total number of hours she works altogether in all the four weeks in the month.
The _____ of two sets X and Y is denoted by X-Y
Answer:
Cartesian product
Step-by-step explanation:
The Cartesian product of two sets, X and Y, denoted by X × Y, is the set of all ordered pairs (x, y), where x is an element of X and y is an element of Y: 8 (2.4.1) X × Y = { (x, y) ∣ x ∈ X ∧ y ∈ Y } For example, if Children = { Peter, Mark, Mary }, and Parents = { Paul, Jane, Mark, Mary }, then
Consider functions f and g
f(x)=(1=2)^×+1 g(x)= log(x - 1) +1 Using three iterations of successive approximation, what is the approximate solution where f(x) g(x)? Use the graph as a starting point.
Answer:
x=39/16
Step-by-step explanation:
I looked it up. Here's the source's explanation;
[tex]f(x)=(1/2)^x+1[/tex]
[tex]g(x)=log(x-1)+1[/tex]
[tex]f(x)=g(x)[/tex]
[tex](1/2)^x +1=log(x-1)+1[/tex]
[tex](1/2)^x=log(x-1)[/tex]
2^(-x)=log (x-1)
x=2.5018
x=39/16
Answer:
41/16
Step-by-step explanation:
took the text and got 100, good luck besties
Please help plsssssss
Answer:
Box 1. 2x
Box 2. -13 (1/3) or (-40/3)
Box 3. 2x
Box 4. (2/3)x
Box 5. 3
Box 6. 3
Box 7. -20
Box order left to right.
Step-by-step explanation:
(5/3)x + (1/3)x = 13 (1/3) + (8/3)x
add numberator ( top number ); keep the denominator the same ( bottom number )
Line 1. (6/3)x or 2x = 13 (1/3) + (8/3)
------------------------------------------
Line 2. -13 (1/3) = (8/3)x - 2x
-------------------------------------------
Ex. 3 × (-13) = 39 - 1 = (-40/3)
--------------------------------------------
Line 3. (-40/3) = (2/3)x
---------------------------------------------
Line 4. (3) (-40/3) = (2/3)x (3)
----------------------------------------------
-40 = 2x
÷2 ÷2
Line 5. -20 = x
-------------------------------------------------
Sorry if this is a little confusing. I hope this helped!
Step-by-step explanation:
2
-13/1/3 ; 2
2/3
3 ; 3
-40
hope it help
what is the volume of this cone? use 3.14 for pi in round your answer to the nearest 10th. In your answer, give the volume of the cone rounded to the nearest 10th, and explain how you calculated it.
In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14 people are randomly selected, find the probability that at least 12of them have brown eyes.
Answer:
0.0006087 (4 sf)
Step-by-step explanation:
Binomial distribution: X ~ B(n, p)
where n is the number of trials and p is the probability of success
Let the random variable X be the number of people with brown eyes
n = 14
p = 40% = 0.4
Therefore, X ~ B(14, 0.4)
P(X ≥ 12) = 1 - P(X ≤ 11)
= 1 - 0.9993913226...
= 0.000608677...
PLEASE HELP ME |x-5|+|x+5| if x>5
Answer:
If you don't understand handwriting
then comment ok
Help with this question pls
Answer:
Exact: [tex]4\sqrt{55}[/tex] m
Approximate: 29.7 m
Step-by-step explanation:
[tex]a^2+b^2=c^2[/tex]
[tex]9^2+b^2=(31\sqrt{5} )^2[/tex]
[tex]81+b^2=31^2(5)[/tex]
[tex]b^2=961-81[/tex]
[tex]b=\sqrt{880} =4\sqrt{55}[/tex]
[tex]4\sqrt{55}[/tex] ≈ 29.7 m
Hope this helps!
Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?
Answer:
Step-by-step explanation:
First you would multiply 4x12 l
next you will get 36l
Finally you would divide it by some # to get your answer .
Rocio drops a ball from a height of 4 meters. Rocio observes that each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, as shown at left. Which of the following equations correctly models the ball's peak height, h, in meters, after b bounces?
The exponential equation that correctly models the ball's peak height, h, in meters, after b bounces is given by:
[tex]H(b) = 4(0.79)^b[/tex]
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem:
Rocio drops a ball from a height of 4 meters, hence A(0) = 4.Each time the ball bounces, it reaches a peak height which is 79% of the previous peak height, hence 1 - r = 0.79.Thus, the equation is given by:
[tex]H(b) = 4(0.79)^b[/tex]
More can be learned about exponential equations at https://brainly.com/question/25537936
If the distance from C to C’ is 8 and the scale factor is 5. What is the distance from A to C?
A. 8/5
B. 5/8
C. 10
D. 2
Question 1) What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. Show your work. ( Please Do Not Repost Someone Else's Answer That's On Brainly Or Any Other Websites Please If So You'll Be Reported).
Answer:
21.6 cm²
Step-by-step explanation:
Step 1 : Find CB
CB = tan60° x 5CB = √3 x 5CB = 1.73 x 5CB = 8.65 cmStep 2 : Find Area
Area = 1/2 x Base x HeightArea = 1/2 x 5 x 8.65Area = 2.5 x 8.65Area = 21.625Area = 21.6 cm²Complete the equation that represents the proportional relationship shown in the table.
Enter your answer in the box.
y =
x y
2 8
3 12
7 28
Answer:
The x side is multiplying four each time to get the y side example 2x4=8 and so on
The equation would be x x 4= y
So hope this helps
The equation that represents the proportional relationship from the table is y=4x.
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".
The given table is
x y
2 8
3 12
7 28
Here, we can see when x increases y value also increases.
So, x and y are directly varies
Now, y∝x
y=kx -----(i)
k=y/x
k=8/2
k=4
Substitute k=4 in equation (i), we get
y=4x
Therefore, the equation that represents the proportional relationship from the table is y=4x.
To learn more about the proportional relationship visit:
brainly.com/question/12917806.
#SPJ2
The distance between the points (1,2) and (x,-1) is 5 units. Find the possible values of x
Answer:
-3,5
Step-by-step explanation:
[tex]d = \sqrt{(x _{2} - x _1) {}^{2} + (y _{2} - y _{1} {} ) {}^{2} } [/tex]
[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 1 - 2) {}^{2} } [/tex]
[tex]5 = \sqrt{(x - 1) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex]25 = (x - 1) {}^{2} + 9[/tex]
[tex]16 = (x - 1) {}^{2} [/tex]
[tex]4 = x - 1[/tex]
[tex]x = 5[/tex]
Or
[tex] - 4 = x - 1[/tex]
[tex]x = - 3[/tex]
A paint mixer wants to mix paint that is 15% gloss with paint that is 30% gloss to make 5 gallons of paint that is 20% gloss. How many gallons of each paint should paint mixer mix together?
The paint mixer should use 2 gallons of 15% gloss paint and 3 gallons of 30% gloss paint.
The paint mixer should use 3 gallons of 15% gloss paint and 2 gallons of 30% gloss paint.
Sabrina, to find which fits, plug them in. Since 20% is closer to 15% than 30%, we know that more 15% is used than 30%.
3(.15) + 2(.3) = 5(.2)
.45 + .6 = 1
Nope
(10/3)(.15) + (5/3)(.3) = 5(.2)
.5 + .5 = 1
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
Answer:
x=3,2
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
Step-by-step explanation:
Sum = coefficient of x = -5
Product = constant * coefficient of x² = 1 * 6 = 6
Factors = (-2) , (-3)
When we multiply, (-2)*(-3) we get = +6 and we add (-2) + (-3) = -5
Using this factors rewrite the middle terms
x² - 5x + 6 = 0
x² - 3x - 2x + (-2)*(-3) = 0
x(x - 3) - 2(x - 3) = 0
(x - 3)(x-2)=0
x - 3 = 0 ; x -2 =0
x = 3 ; x = 2
Solution: x = 2 , 3
which line is the graph of the equation y=-x+3
a
b
c
d
Answer:
Graph A is the answer
Step-by-step explanation:
The width of the origin is equal to 3 and the slope is 1
GIVING BRAINLEST NO LINKS I ONLY CROWN RIGHT ANSWERS!
Select the expression that represents the following statement: The sum of 6 and 8 multiplied by 4.
Answ
Step-by-step explanation: