Answer:
[tex] \displaystyle {r}^{} = 6[/tex]
Step-by-step explanation:
remember that,
[tex] \displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3} [/tex]
given that,
V=288πthus substitute:
[tex] \displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi[/tex]
divide both sides by 4/3π:
[tex] \displaystyle {r}^{3} = 216[/tex]
cubic root both sides:
[tex] \displaystyle {r}^{} = 6[/tex]
and we are done!
What are the ordered pairs for all of the points
Answer:
A ( 3 , 4 )
B ( -3 , 2 )
C ( -2 , -4 )
D ( 6 , -3 )
E ( 0 , 0 )
Step-by-step explanation:
remember that x values go first and then y values ( x , y )
I need help please PLEASE PLEASEEEEEEEE
Answer:
Step-by-step explanation:
Which expression is equivalent to 3√50 × √22 ?
Please show work :)
A. 15√22
B. 30√22
C. 30√11
D. 15√11
[tex]\longrightarrow{\green{C.\:30 \sqrt{11} }}[/tex] ✔
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 \sqrt{50} \times \sqrt{22} \\ \\ = 3 \sqrt{50 \times 22} \\ \\ = 3 \sqrt{1100} \\ \\ = 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} \\ \\ = 3 \sqrt{ {2}^{2} \times {5}^{2} \times 11} \\ \\ = 3 \times 2 \times 5 \sqrt{11} \\\\ = 30 \sqrt{11} [/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Analia went to Burlington and saw that there was a special price for summer shirts. The first shirt had a price of $10 and every shirt bought after that was only $8. If she spent a total of $75 with this special applied, how many shirts did she end up buying?
Given that XYZ ~ JKL answer the following:
what is the ratio of similarity (scale factor)
SOLVE for the length of YZ:
SOLVE for the length of JL:
Answer:
scale factor is 3/2
YZ=15
JL=12
Step-by-step explanation:
JK=XY
ZY=LK
XZ=JL
15/10=3/2 (scale factor)
3/2=x/10
now cross multiply
30/2=2x/2
15=x or YZ
3/2=18/y
cross multiply
3y/3=36/3
JL or y=12
the ratio of the ages of Charlie and Kelvin is 2:3 if Charlie is 8 year old ,how old is Kelvin
Answer:
Charlie would be 11
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Create proportional relationship to solve for Kevin's age
Let k = Kevin's age
2/3 = 8/k
Now solve for k
Cross multiply
24 = 2k
Divide both sides by 2
12 = k
If charlie is 8 then Kevin is 12
Bharat has two identical ink pens with full ink. He used 3/4th of the ink from the first pen and 2/3rd of the ink from the second pen. What is the fraction of the ink remaining in the two pens together?
Answer:
0.58333333333 Or 0.58333333333/100000000000
Step-by-step explanation:
Beth said the distance to school is 2.8 km. The actual distance is 3.5 km. What is the percent error
Answer:
20%
Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.
determine the equation of the circle graphed below .
( help please )
Answer:
(x + 5)² + (y - 4)² = 17
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 5, 4 ) , then
(x - (- 5) )² + (y - 4)² = r² , that is
(x + 5)² + (y - 4)² = r²
r is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)
r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]
= [tex]\sqrt{4^2+1^2}[/tex]
= [tex]\sqrt{16+1}[/tex]
= [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17
Then
(x + 5)² + (y - 4)² = 17 ← equation of circle
Answer:
x² + y² + 10x - 8y + 24 = 0
Step-by-step explanation:
equation of a circle :-
equation of a circle :-(x - h)² + (y - k)² = r²
(h, k) is the center of the circle R is the radius of the circlefor this circle :-
h = -5k = 4R = ?finding radius of the circle
we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle
putting x = -1 and y = 5
=> (-1 - (-5))² + (5 - 4)² = r²
=> (-1 + 5)² + 1² = r²
=> 4² + 1 = r²
=> 17 = r²
[tex] = > r = \sqrt{17} [/tex]
the radius if the circle is √17 units
__________________________________
finding the equation of the circle
=> (x + 5)² + (y - 4)² = (√17)²
=> x² + 25 + 10x + y² + 16 - 8y = 17
as for any two variables a and b, (a + b)² = a² + b² + 2ab=> x² + y² + 10x - 8y + 24 = 0
7. A clothing trunk is 30 inches tall, 48 inches wide,
and 24 inches deep. How many cubic feet will the
Hrunk hold?
Answer:
34,560 in^3
Step-by-step explanation:
A clothing trunk is 30 inches tall, 48 inches wide, 24 inches deep
The amount is cubic feet the trunk will hold can be calculated as follows
= 30×48×25
= 34,560 in^3
If f(1) = 1 and f(n + 1) = 5f(n) + 3 then find the value of f(4).
Answer:
218
Step-by-step explanation:
Because we need f(n) to calculate f(n+1), we have to calculate our values one step at a time. Starting with f(1) = 1,
f(2) = 5(f(1)) + 3 = 5(1) + 3 = 5+3 = 8
f(3) = 5(8) + 3 = 40 + 3 = 43
f(4) = 5(43) + 3 = 215 + 3 = 218
Find the surface area of a sphere
Show all the work
Answer:
452cm2
Step-by-step explanation:
surface area of sphere =4πr2
so 4π62 which equals to 452.39.
hope this helps u understand:)
Write 5 5/6 as an improper fraction
Answer:
the answer is 35/6 hope it helps:)
Answer:
The answer is 35/6
Step-by-step explanation:
Multiply the denominator by the whole number.
5 x 6 = 30
Then add the Numerator.
30 + 5 = 35
Now the answer is 35/6, you don't change the denominator.
Help me this is due soon
Answer:
It's (-1.5,-5.5)
Step-by-step explanation:
Answer:
-1.5 , -5.5
Step-by-step explanation:
Ms. Lesure is going to buy lunch for Mr. Shows Interactions A class. How many whole pizzas would she need to buy (assume each pizza has 8 slices) assuming there are 10 boys and 8 girls and the boys will eat 2 slices each and the girls will eat 1.5 slices each?
Answer:
Ms. Lesure is going to need to buy 4 pizzas for Mr. Shows Interactions A class. The boys would eat 20 slices and the Girls in total will eat 12 slices. In total you'll need about 32 slices and 32 divided by 8 is 4.
Step-by-step explanation:
FIND THE TOTAL NUMBER OF COMBINATIONS
How many ways could a 3 topping pizza be selected if you have 10 toppings
to choose from?
A 720
B 120
60
D 30
Answer:
B.120 i took the test and got it right.
Answer:
Its letter B.
Step-by-step explanation:
hopefully i got it right loll
Ahmed needs to fill a fish tank with water. He uses three cups of water to fill 1/4 of the tank. How many cups of water will he need to completely fill the tank.
-1
-3
-4
-12
===========================
Work Shown:
3 cups = 1/4 tank
4*(3 cups) = 4*(1/4 tank)
12 cups = 1 tank
Solve this equation
1 . B/-7 = 4
Step-by-step explanation:
B/-7 = 4
Cross multiple
-7×4 = B
-28 = B
Answer:
-28
Step-by-step explanation:
First, multiply 4*-7= -28.
You're done. B=-28
Hope this helps!
what is 0.8 divided by 62 as a decimal please help this is a finals
0.8 divided by 62 equals 0.80 or 80 percent (%)
Answer:
0.0129032258
Step-by-step explanation:
I simply did long division.
0.8 divided by 62 = 0.0129032258
Helpppppppp meeeee please ASAP
Answer:
(9, 13, 22)
Step-by-step explanation:
We can use the triangle inequality theorem to help us solve this problem. We know that the two shortest sides of a traingle added up (their sum) needs to always be greater than the longest side of the triangle. Taking that information, we can figure out that 9+13=22. 22=22, not 22>22. This means that is the right answer, hopefully that helps!
Help anybody please idem
Answer:
-64
Step-by-step explanation:
f(x)=-4^x
f(3)=-4^3=-64
Answer:
-64
Step-by-step explanation:
1) Substitute x with 3
-4^3
2) solve
-64
Please help (add work/reasoning if you can)
Answer:
A
[tex]x + y > - 9 \\ - 7 + ( - 2) > - 9 \\ \\ 2x - 5y > - 4 \\ 2( - 7) - 5( - 2) \\ - 14 + 10 \\ > - 4[/tex]
What is the length of line
segment AB?
helpppppp me pleasee
Answer:
the volume would be 84
Step-by-step explanation:
multipacation
explain why 7x+3 cannot be factorised
Answer:
There is no common factor
Step-by-step explanation:
Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answer:
h = 50 inches
Step-by-step explanation:
To find the value of h, we are to use the appropriate trigonometric ratio
The given angle faces the unknown length and that makes the unknown length the opposite side
The given side faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the opposite and the hypotenuse is the sine
The sine of an angle is the ratio of the opposite side to the hypotenuse
Thus, we have it that;
sin 23 = h/129
h = 129 * sin 23
h = 50 inches
A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.
Which of these statements are true? Choose all that are correct.
A.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
B.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
C.
If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.
D.
It is possible that every student selects a green marble.
E.
If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data.
Answer:
Find the volume of this prism.
Theoretically, the probability of selecting one red marble from this bag is 0.20.
If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.
What are the probabilities?Probability determines how likely it is an event would happen. The chances of the event happening lie between 0 and 1.
The probability of selecting one red marble from this bag = number of red marbles / total number of marbles
16 / 80 = 0.20
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Can someone help? It's super urgent I need it solved!
Answer:
Y = +- √ x - 5
Step-by-step explanation:
1. write f (x) = x^2 +5 as an equation (y = x^2 + 5)
2. interchange the varibles (x = y^2 + 5)
3. Solve for Y
Which
expression is equivalent to
X^-5/3
Answer:
-(5-3) is the answer bcoz - make 5 negative and 3 positive
Step-by-step explanation:
I hope this will help you
Pam likes to practice dancing while preparing for a math tournament. She spends 80 minutes every day practicing dance and math. To help her concentrate better, she dances for 20 minutes longer than she works on math.
How much time does Pam spend practicing math every day? Show your work.
Answer:
30 minutes
Step-by-step explanation:
20+30+20--80