Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups
Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:
V = (1/3) * π * r² * h
First, simplify the volume formula for a cone to make it easier to manipulate:
V = 1/3πr²h
Next, plug in the given values for the first cone:
V = 1/3π(2²)(8) = 32π/3
Then, divide the volume of the sink by the volume of the first cone:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
Now, calculate the volume of the second cone using the same formula:
V = 1/3π(4²)(8) = 128π/3
Finally, divide the volume of the sink by the volume of the second cone:
2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.
Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:
2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.
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A can holds 753.6 cubic centimeters of juice. The can has a radius
of 4 centimeters. What is the height of the can? Use 3.14 for π and round to the nearest tenth. PLS HELP :D
Answer:
result = 15cm
Step-by-step explanation:
Hi! to can solve this, we have to keep in mind this formulas:
1) Area of a circuference:A1 = π [tex]r^{2}[/tex] ; where r = radius
2) Area of a cylinder:A2 = (π [tex]r^{2}[/tex]) * (h) ; where h= height
now we solve:
first, we have to calculate the area of the circumference
A1 = [tex](3.14)*(4cm)^{2}[/tex] = [tex]50.24cm^{2}[/tex]
then, we already know the volume of the cylinder, and the area of the circumference, so we have to find just h of the second formula:
A2 = (π [tex]r^{2}[/tex]) * (h)
[tex]753.6cm^{3}[/tex] = [tex]50.24cm^{2}[/tex] * (h)[tex]\frac{ 753.6cm^{3} }{50.24cm^{2} }[/tex] = hh = 15cm
is 1 5/6 a rational number or a iraarational
Answer: rational number
Step-by-step explanation:
Mixed numbers are all rational numbers because they can be expressed as a fraction. To be a rational number, a number must be able to be written
What is g(x)?
A. g(x) = -x2
B. g(x) = -2
C. g(x) = -|x|
D. g(x) = -x
Answer:
C.
g(x) = -|x|
Step-by-step explanation:
Absolute value vertex. In this case, the vertex for y=−|x|y=-|x| is (0,0)(0,0)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)(-∞,∞)
Brandon has 10 but each bag has 6 chocolates how many chocolates does he have in total
Answer:
10 what
Step-by-step explanation:
HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answer:
1,908.5
Step-by-step explanation:
Add 1900 + 1917 and divide by two
1900+ 1917 = 3817
3817 divided by 2 = 1908.5
Find the measure of 46.
46 = [?]
24°
46
Answer:
Solution given:
<6+24=180[co- interior angle]
<6=180-24=156°
<6=156°
Over the past ten years, the population in a small city decreased by 12%, resulting in a current population of 105,000 people. What was the approximate population of the city ten years ago?
Answer:
119400
Step-by-step explanation:
The approximate population of the city was 119400
if a 4.0 cm X 5.5 cm photo is enlarged so that is length is 8.5 what s the new width?
Answer:
6
Step-by-step explanation:
SOMEONE HELP PLEASE! i’m stuck!! HELP IF YOU WANT THE BRAINIEST!!
Tameka wants to build a circular go-cart track in her backyard.
a. If she wants the track to have a circumference of 150 feet, what does the radius of the track need to be?
b. If she wants the track to have a circumference of 200 feet, what does the radius of the track need to be?
c. If she wants the track to have a circumference of 400 feet, what does the diameter of the track need to be?
Because Aaron, age 32, is a smoker, he must pay more for life insurance. Given that Company A charges 20% more for smokers, Company B charges 18% more for smokers, Company C charge 25% more for smokers and Company D charges 15% more for smokers, Aaron decides to buy his $250,000 policy from Company B. Which of the following statements is true? A 5-column table with 3 rows titled Annual Insurance Premiums (per 1,000 dollars of face value) 10 year term. Column 1 is labeled age with entries 30, 31, 32. Column 2 is labeled Company A with entries 1.30, 1.57, 1.86. Column 3 is labeled Company B with entries 1.29, 1.55, 1.86. Column 4 is labeled Company C with entries 1.40, 1.64, 2.07. Column 5 is labeled Company D with entries 1.49, 1.88, 2.25. a. Aaron is paying the smallest premium possible with Company B. b. Aaron is paying $93 more in premiums than he would with Company A. c. Aaron is paying $129 more in premiums than he would with Company C. d. Aaron could have chosen any company because the premiums are all the same.
Answer:
d. Aaron could have chosen any company because the premiums are all the same.
Step-by-step explanation:
Going by the age of Aaron and the percentages charged by the various company due to smoking, it is safe to conclude that, the premiums are all the same. This could be seen in the table of column and rows which shows the annual insurance premiums (per 1,000 dollars of face value) over a 10 years term. The variation helps to show that, when the premium is evaluated, the are all the same.
Answer:
A
Step-by-step explanation:
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%Alice makes 32 of her 40 free throws during practice. Which teammate has a higher probability of making a free throw during practice?
Answer:
Step-by-step explanation:
B dawn made 45 out of 50 free throws
Find the area of the figure to the nearest hundredth.
Answer:
19.85 sq ft
Step-by-step explanation:
area of circle with diameter of 5: A = π(2.5²) = 7.85
area of triangle: A = 1/2(4)(6) = 12
) 1 point 15) At the end of a game, the Wildcats have 2 points and the Lancers have 6 points. Cassie says the Lancers scored 4 more points than the Wildcats. Mark says the Lancers scored 3 times as many points as the Wildcats. Who is correct? * Cassie is correct Mark is correct Neither is correct Both are correct
How do I evaluate:
(-1000)1/3
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
Mrs. Bell wrote the expanded form of a number, as shown. 5 × 100 + 4 × 10 + 6 × 1 + 2 × (1___ 10)+ 8 × (1____ 1000)What is the number written in standard form?
Answer:
the question is worded incorrectly, but I believe the answer is 8566.
Step-by-step explanation:
PLEASE HELP ASAP
A cone's circular base has a diameter of 6 feet. The volume of the cone is 176 cubic feet. What is the approximate height of the cone?
Answer:
18.68 feet
Step-by-step explanation:
- Just did the quiz
- Also plugged it into a calculator I found online
Answer:
18.68 feet
Step-by-step explanation:
it passed the quiz
Fast Auto Service provides oil and lube service for cars. It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes. The management wants to promote the business by guaranteeing a maximum waiting time for its customers. If a customer's car is not serviced within that period, the customer will receive a 50% discount on the charges. The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be
Answer:
The maximum guaranteed waiting time should be of 18.37 minutes.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
It is known that the mean time taken for oil and lube service at this garage is 15 minutes per car and the standard deviation is 2.4 minutes.
This means that [tex]\mu = 15, \sigma = 2.4[/tex]
The company wants to limit this discount to at most 8% of the customers. What should the maximum guaranteed waiting time be?
The 100 - 8 = 92th percentile, which is X when Z has a pvalue of 0.92. So X when Z = 1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.405 = \frac{X - 15}{2.4}[/tex]
[tex]X - 15 = 1.405*2.4[/tex]
[tex]X = 18.37[/tex]
The maximum guaranteed waiting time should be of 18.37 minutes.
PLZ HELL FAST WILL GIVE BRAINLIEST
Select all the correct equations.
Which equations have no real solution but have two complex solutions?
3x^2- 5x= -8
2x^2= 6x – 5
12x= 9x^2 + 4
-x^2– 10x = 34
[tex] {3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0[/tex]
This equation has the next form:
[tex] {ax}^{2} + bx + c = 0[/tex]
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
[tex] {b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0[/tex]
Then, the first case has two complex solutions.
In the second case,
[tex] {2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0[/tex]
The discriminant in this case is:
[tex]( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0[/tex]
Then, the second case has two complex solutions.
In the third case,
[tex]12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0[/tex]
The discriminant in this case is:
[tex] {12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0[/tex]
Then, the third case has two real solutions.
In the fourth case,
[tex] { - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0[/tex]
The discriminant in this case is:
[tex]( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0[/tex]
Then, the fourth case has two complex solutions.
While traveling to his grandmother's house for Christmas, George fell asleep halfway through the journey. When he awoke, he still had to travel half the distance that he had traveled while sleeping. For what part of the entire journey did he sleep?
he slept for 1/2 of the trip and then slept have the distance that was left so that would be 1/2 divided by 2 equals 1/4 so 1/2 plus 1/4 equals 3/4 so george has 1/4 of his journey left.
George was asleep for 33.3% of the journey.
When George went to sleep, he was halfway through to his grandmother's house which means that he was left with 1/2 of the journey.
When he woke up, he was still left with half of the distance he had slept. If we made this an expression and assume the percentage of the journey he slept was x, it would be:
1/2 of the journey = 1/2x + x
1/2 = 1.5x
x = 1/2 ÷ 1.5
x = 33.3%
George therefore fell asleep for 33% of the journey.
Find out more at https://brainly.com/question/14523771.
1/2 divided by 2 3/4
Answer:
2/11
Step-by-step explanation:
2 3/4 = 11/4
1/2 x 4/11 = 4/22 *when you divide a something by a fraction, you flip that fraction to get its reciprocal*
4/22 simplified is 2/11
Y=7x+2 what is the slope
Answer:
The slope is 7
Step-by-step explanation:
The equation is in y=mx+b form
m=the slope
b=y-intercept
In your own words, state what you know about piecewise-defined function. Use complete sentences.
Answer:
A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.
what is prison break
Answer:
Erm.
The game on robl. ox
Or real life?
Breaking out of prison is real life
In robl. ox, its also kinda like that, but you steal things
Step-by-step explanation:
Can I have brainest. Im trying to level up :3
Thanks!
Have a good day!
What is the surface area in square centimeters of the figure shown below?
11 cm
6 cm
4 cm
Answer:
268 cm²
Step-by-step explanation:
Surface area = (front + back + left side + right side + top + bottom) areas
since pairs of areas are the same (front back, left rigth, top bottom)
Surface area = (2 · front + 2 · left side + 2· top) areas
= 2 · 11 · 4 + 2 · 11 · 6 + 2 · 4 · 6
= 268 cm²
what's 965 divided by 7
Answer:
137(the exact amount 137.8571428571429)
Step-by-step explanation:
If i did the Whole thing with paper it would take very long i used calculator instead
Answer:
137.857142857
Is the answer
using the standard form ax^2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.
Answer:
See below
Step-by-step explanation:
Since you didn't give an actual quadratic equation and just the standard form equation, I will reduce ax^2+bx+c=0:
(ax+p)(x+q) where p+q=b and pq=c
A fair number cube, with numbers 1 through 6, was rolled 200 times. The number 5 was rolled 34 times. If the number cube was rolled 300 times, approximately how many times would the number 5 be rolled?
A:9
B:15
C:51
D:134
Answer:
51
Step-by-step explanation:
34/200=.17
.17×300= 51
I need help I’m in math class! Help please
Answer:
1350π [tex]cm^3[/tex] should be your answer
Step-by-step explanation:
15 x 15 x π = 225π
225π x 6 = 1350π
Use the partial quotients algorithm to find the value of 966 +23