Radius of a sphere with a volume of 26,244π inches³ is 27 inches.
Volume of a sphere, V = (4/3)πr³.
Given the volume of 26,244π inches³,
(4/3)πr³ = 26,244π
The radius of sphere (r) =
r³ = (26,244π)/(4/3)π
r³ = 26,244 × (3/4)
r³ = 19,683
r = ∛19,683
r = 27 inches
The radius of the sphere is 27 inches.
The formula for the volume (V) of a sphere with radius (r) is given by:
[tex]\[ V = \frac{4}{3} \pi r^3 \]Given that the volume (\( V \)) of the sphere is \( 26,244\pi \) cubic inches, we can set up the equation:\[ 26,244\pi = \frac{4}{3} \pi r^3 \]To solve for \( r \), we first divide both sides by \( \frac{4}{3} \pi \):\[ r^3 = \frac{26,244\pi \times \frac{3}{4}}{\pi} \]\[ r^3 = 19,683 \][/tex]
Taking the cube root of both sides:
[tex]\[ r = \sqrt[3]{19,683} \]\[ r \approx 27 \][/tex]
Therefore, the radius of the sphere is 27 inches.
An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 6 feet long and has a base with a circumference of 28.260 feet, what is the volume of the sculpture? Use 3.14 for piπ HELP Me PLZ :(
Answer: The volume of the sculpture is 64.11 ft3
Hope this helps :)
Answer:
125.8983 ft^3
Step-by-step explanation:
Circumference of the circle is 28.260
Formula for the circumference of a circle is 2Πr
2*3.14 is 6.28
28.26/6.28=4.5
r is 4.5
Formula for the volume of a cone is 1/3*pi*r^2*h
1/3*3.14*4.5^2*6 = 125.8983
1. - 4 = 7(1-n) =
2. -5x + 3(6 + 7x)
3.- 2b - (9 - 105) =
4. 10+ 5(9x - 9) =
5.-9(6x - 3) + 6(1 +4x) =
6.-10(2 - 9x) + 6(x - 10) =
7. 5(-2n+4) + 2(n + 3) =
8. - 7(n+3) - 8(3 +8n) =
Hope this will help u...
Mrs. Mason, coach of the math team, created the Venn Diagram shown to illustrate which upper-level math courses the team members have completed. How many members are on the math team? A) 6 B) 10 C) 16 D) 30
Answer: 16
Step-by-step explanation:
8. The perimeter of Brianna's rectangular garden is 100 feet. The length of the garden is 1.5 times longer than
the width.
Answer:
Step-by-step explanation:
The perimeter of Brianna's rectangle garden is 100 feet. The length of the garden is 1.5 longer than the width
Find the area of the square in inches and enter your answer below. Do not
include units in your answer.
Given:
Side length of square = 2 in
To find:
The area of the square
Solution:
Area of the square:
Area = side × side
= 2 in × 2 in
Area = 4 in²
Therefore, the area of the square is 4 inches².
A receptionist recorded the number of people who took an elevator up from his floor and the number
who took an elevator down. He also noted the number of men and women. The table shows the results.
Elevator Up
Elevator Down
Men
36
43
Women
39
42
What is the experimental probability that the next person will be a woman taking the elevator up?
Answer:
39/160
Step-by-step explanation:
Final answer:
The experimental probability that the next person will be a woman taking the elevator up is calculated by dividing the number of women who took the elevator up (39) by the total number of people who went up (75), resulting in a simplified probability of 13/25.
Explanation:
The question asks for the experimental probability that the next person will be a woman taking the elevator up. To find this, we look at the number of women who previously took the elevator up and divide it by the total number of people taking the elevator up. In the table provided, 39 women took the elevator up, and the total number of people taking the elevator up is the sum of both men and women who did so, which is 36 (men) + 39 (women) = 75 (total).
The experimental probability is therefore calculated as follows:
Probability = Number of Women Going Up / Total Number Going Up
Probability = 39 / 75
The simplified fraction for the probability is 13/25 after dividing both the numerator and the denominator by 3.
Plzzzz help mehh and dont steal my cookies UwU
Answer:
31 sq m
Step-by-step explanation:
what is the square root of 36 and 64
Answer:
the square root of 36 is 6, and for 64 it is 8
Step-by-step explanation:
Answer:
The square root of 36 is 6 and the square root of 64 is 8
I’m not sure about this can anyone help I mark brilliant
Answer:
C
Step-by-step explanation:
Take the x and y values of each value in each table. Table 3's values all lie on the graphed line and are therefore correct. Remember that x values are side-to-side and y values are up and down.
Answer:
Option C
Step-by-step explanation:
The line passes through the points (0,-1) ; (4,0);(-4,-2)
Daniel bought a computer and paid $50.94 in
sales tax. The sales tax was 11% of the
purchase price. What was the cost of the
computer before tax?
Answer:
Daniel bought a computer and paid $50.94 in sales tax. The sales tax was 11% of the purchase price. What was the cost of the computer before tax?
11/100 x 50.94= $5.60
Tax= $5.60
Cost of the computer before tax= $50.94- $5.60
Cost of computer= $45.34 before tax
Step-by-step explanation:
Please help asap please i will mark branlist
Answer:
B. (-3,3)
Step-by-step explanation:
We want to know the solution to the equations, which just means where the two lines intersect.
If we just count the spaces, we can see that they touch at (-3,3). Remember that coordinates are (x,y), so we go left 3 (-3,3) and up 3 (-3,3).
Answer: the answer to this question is B
Step-by-step explanation:
One more than three-eighths of a number is eleven. Just write out equation do not solve please
Answer:
Let's just call the number x. 3/8ths of x and 1 more equals 11.
As an equation, this basically means
[tex]\frac{3}{8} x+1=11[/tex]
The equation derived from the given statement "One more than three-eighths of a number is eleven" is 3/8 * X + 1 = 11.
Explanation:In mathematics, especially in algebra, we often have to deal with problems where a certain relationship is given between a number and its fraction, and the task is to find the number. In the problem you presented, "One more than three-eighths of a number is eleven", we are required to express this problem as an equation.
The three-eighths of a number can be represented as 3/8 * X (where X is the unknown number we're seeking), and 'one more than' simply means we're adding 1 to this fraction. The given relationship states that this result is eleven.
So, the equation can be written as: 3/8 * X + 1 = 11.
Learn more about Equation Formation here:https://brainly.com/question/30167556
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find the volume of the cylinder. round your answer to the nearest tenth.
Answer:
1526.8 cubic feet.
Step-by-step explanation:
Volume for finding any shape is V= Bh where b is the area of he base multiplied by the height of the shape. Find the area of the circle, which is pi times the radius squared 9 times 9 is 81. Multiply 81 by pi or 3.14159265 is 254. 4690047. Then, multiply that number 6 which is the height of your shape, and you get 1526.814028. Rounded to the nearest tenth is 1526. 8 cubic feet. Hope this helps!
The Volume of Cylinder is 1,526.04 ft².
What is Volume?Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
As, the Volume of Cylinder = πr²h where r is the radius and h is the height.
Given:
Radius of cylinder = 9 feet
Height of cylinder = 6 feet
So, Volume of Cylinder
= πr²h
= 3.14 x 9 x 9 x 6
= 3.14 x 81 x 6
= 1,526.04 ft²
Thus, the volume is 1,526.04 ft².
Learn more about Volume here:
https://brainly.com/question/13338592
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What are the foci of the hyperbola whose equation is (x-6)^2/16-(y+7)^2/9= 1?
The foci of the hyperbola is (0,3) and (0,-3).
Step-by-step explanation:
Given,
The equation of the hyperbola: [tex]\frac{(x-6)^{2} }{16} -\frac{(y+7)^{2} }{9} =1[/tex]
To find the foci of the given parabola
Formula
If the equation of the hyperbola: [tex]\frac{(x-h)^{2} }{a^{2} } -\frac{(y-k)^{2} }{b^{2} } =1[/tex]
The focus will be (0,±c) where c² = a²+b²
Now,
Here, a=3 and b=4
c² = 3²+4² = 25
or, c = ±5
Hence,
The foci of the hyperbola is (0,3) and (0,-3)
Answer:
(1, -7) and (11, -7)
or A on edge
Step-by-step explanation:
took the quiz
Find the area of a circle with a circumference of 50.24units
Answer:
A is approximately 200.86 square units.
Step-by-step explanation:
Three divide by one fourth
Answer:
3 divided by 1/4 will be 1/3 * 1/4 which should give you 1/7.
Answer:
3 divided by one forth is 2.142
Step-by-step explanation:
Use the distributive property to write an expression that is equivalent to each given property.
-3(2x-4)
0.1(-90+50a)
-7(-x-9)
4/5(10y-x+-15)
Answer:
-6x+12
-9+5a
7x+63
8y-4/5x-12
Step-by-step explanation:
To solve these all you have to do is take the number outside of the parenthesis and multiply them by each term.
-3(2x)-3(-4) All I did here was expand the problem to show what i mean by terms.
-6x+12
Do this for each problem.
0.1(-90)+0.1(50a)
-9+5a
-7(-x)-7(-9) For this one you are taking negatives times negatives so each answer will be positive.
7x+63
4/5(10y)+4/5(-x)+4/5(-15)
8y-4/5x-12
Pumpkins are being sold for $1.30 at the local farmers market. How much would a pumpkin be weighing 6lb 9oz
Answer:
$8.53
Step-by-step explanation:
The first thing you do is convert the oz into pounds. There is 16 oz in a pound so our fraction is 9/16 which is 0.5625 . Then adding to the pounds it becomes 6.5625 pounds. Then multiply by 1.3.
Is -11 rational or irrational?
Answer:
rational
Step-by-step explanation:
In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,
and 8 of the freshman are males. If a student is selected at random, what is the probability of
selecting a freshman or a female? P(Freshman or Female)=
Using it's concept, it is found that there is a 0.6154 = 61.54% probability of selecting a freshman or a female.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 26 students. Of those, the desired outcomes are composed by the 11 freshmen students plus the 5 sophomore females, hence:
p = 16/26 = 0.6154.
0.6154 = 61.54% probability of selecting a freshman or a female.
More can be learned about probabilities at https://brainly.com/question/14398287
Final answer:
To find the probability of selecting a freshman or a female from the calculus class, we calculate the combined unique count of freshmen and females and divide by the total number of students, resulting in a probability of approximately 69.23%.
Explanation:
The question asks for the probability of selecting a freshman or a female student from a calculus class with a total of 11 freshmen and 15 sophomores, where 5 of the sophomores are females and 8 of the freshmen are males. First, let's identify the totals: there are 26 students in total (11 freshmen + 15 sophomores). To find the number of freshmen or females, we consider that there are 3 freshmen females (11 freshmen - 8 males) and 10 sophomore females in total (5 sophomores who are female plus 5 presumed male due to the lack of additional gender data).
So, the number of unique freshmen or female counts is: the 11 freshmen (regardless of gender) plus the 10 females not counted among freshmen (5 sophomores who are females plus an assumed 5 other females given the data isn't explicit about these being the same or different students), minus the 3 freshmen females who are already counted in the freshman group. This gives a total of 18 unique freshmen or females. Therefore, the probability of selecting a freshman or a female is [tex]\(\frac{18}{26}\)[/tex], which simplifies to [tex]\(\frac{9}{13}\)[/tex] or approximately 69.23%.
Max Steel drives his 1969 Mustang 15 miles per hour. If there are 5280 feet in one mile and 60 seconds in one minute, how many feet can he go per second?
Answer:
22 feet per second
Step-by-step explanation
15x5280=79,200
79,200/60=1320 feet per minute since 60 minutes per hour
1320/60=22 feet per second since 60 seconds per minute
Max Steel's Mustang can go upto 22 feet per second.
First, convert miles per hour to feet per hour. Since there are 5280 feet in a mile, multiply the speed in miles by the number of feet in a mile:
Step 1: 15 miles/hour x 5280 feet/mile = 79200 feet/hour
Step 2:Next, convert feet per hour to feet per minute. Since there are 60 minutes in an hour, divide by 60:
79200 feet/hour ÷ 60 = 1320 feet/minute
Step 3: Finally, convert feet per minute to feet per second. Since there are 60 seconds in a minute, divide by 60:
1320 feet/minute ÷ 60 = 22 feet/second
Therefore, Max Steel can go 22 feet per second.
Steve will roll a number cube, numbered 1-6, twice. What is the probability
of rolling a number > 3, then rolling a prime number? Simplify your answer!
Answer:
25%
Step-by-step explanation:
First we calculate the probability of rolling a number greater than 3, that is, it can be 4, 5 or 6.
The probability of each number is 1/6, so:
P1 = (1/6) + (1/6) + (1/6) = 3/6 = 1/2
Then, we calculate the probability of rolling a prime number, that is, 2, 3 or 5.
As we have again 3 numbers, the probability P2 will also be 1/2
Then, the final probability is the product of both P1 and P2:
P = P1 * P2 = (1/2) * (1/2) = 1/4 = 25%
Can anyone help with this?
Answer:
5 times 2=10
1.5 times 3=4.5
8 times 1/2=4
Step-by-step explanation:
10/5=2
4.5/3=1.5
4/ 1/2 changes to 4 times 2=8
i hope this helps u
pls give a brainliest and a thx ;)
MATH EASY POINTS: the volume of water y (in cubic meters) that flows over niagara falls during peak daytime tourist hours in x minutes can be approximated by the equation y=168,000x. Approximately how many cubic meters of water flow over the falls in one hour
Answer:
10,080,000 cubic meters is the answer.
Step-by-step explanation:
For every minute (x), 168,000 cubic meters (y) of water are added. 1 hour has 60 minutes, so 60 x 168,000. That gives 10,080,000.
100 points!!!!!!!!!!!!!!!!!!!!What should the numerator of the second fraction be so that the fractions are equivalent?
[tex]\frac{2}{3} =\frac{?}{14}[/tex] =
Answer:
28/3 or 9⅓
Step-by-step explanation:
2/3 = x/14
x = 2×14/3
x = 28/3
Answer:
28/3 =x
Step-by-step explanation:
2/3 = x/14
We can solve using cross products
2*14 = 3x
28 = 3x
Divide each side by 3
28/3 = 3x/3
28/3 =x
QUESTION
Learning Page
An amount of $49,000 is borrowed for 11 years at 6.5% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
plz help
Answer:
$97,958.42
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:
[tex]A=P(1+r )^{t}[/tex]
P = initial balance
r = interest rate
t = time
First change 6.5% to its decimal form:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Next plug in the values:
[tex]A=49,000(1+.065)^{11}[/tex]
[tex]A=97,958.42[/tex]
They have to pay back $97,958.42
Which pair of numbers is equivalent? A. 110 and 10% B. 14 and 14% C. 29 and 29% D. 57 and 57%
Answer:
A
Step-by-step explanation:
Answer:
A. 1/10 and 10%
Step-by-step explanation:
How do you multiply a decimal greater than 0 and a fraction less than 0
Answer:
Originally Answered: How do you multiply a decimal greater than 0 and a fraction less than 0? Simply multiply the decimal with the numerand (top of the fraction) and divide by the denominator ( bottom of fraction). Since one is positive ( greater than 0) and the other is negative the answer will always be negative.
Step-by-step explanation:
A fraction simply tells us how many parts of a whole we have.
To multiply a decimal greater than 0 and a fraction less than 0 . first convert decimal into fraction.
Then, multiply numerator with numerator and denominator with denominator of both fraction.
For example,
[tex]0.5 * (-\frac{1}{2})\\\\\frac{1}{2} *(-\frac{1}{2} )\\\\-\frac{1}{4}[/tex]
Learn more:
https://brainly.com/question/1369626
Help me with this please so I can finish this class and move on to the others
Answer:
20x
Step-by-step explanation:
1 do the work 2 dont ask brianly
Answer:C
Step-by-step explanation: 42 is bigger than 40 but I’m really not sure
Increase £2193.67 by 8.5%
Give your answer roIncrease £2193.67 by 8.5%
Give your answer rounded to 2 DP
Answer:
£2380.23
Step-by-step explanation:
The increase will be 8.5% of £2193.76 added to £2193.76
That’s
8.5% of £2193.76
8.5% /100% x £2193.76
0.085 x £2193.76
£186.47
Increase = £2193.76 + £186.47
= £2380.23