Answer:
3.3
Step-by-step explanation:
to determine the answer
calculate the volume of the cone
the volume of the cone = volume of the sphere
use the volume of the sphere to find the radius
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
h = height
(1/3) x (22/7) x (6^2) x 4 = 150 .86
volume of sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
(4/3) x radius^3 x (22/7) = 150.86
radius^3 = (3/4) x (7/22) x 150.86
radius^3 = 36
find the cube root of 36
radius = 3.3
37.71
You deposit $3000 into an account that pays 4.8% interest, compounded monthly. A) What is the value of the account after 5 years?B) How long will it take for the value of the account to reach $6000?
Answer:
14.4 years (about 14 years 6 months)
Step-by-step explanation:
Given data
Principal= $3000
Rate= 4.8%
A. Time= 5 years
The expression for compound interest is
A=P(1+r)^t
Substitute
A= 3000(1+0.048)^5
A= 3000(1.048)^5
A=3000*1.264
A=$3792
Hence the balance will be $3792
B. Final Amount A = $6000
The expression to find time is given ast
t= ln(A/P) / r
substitute
t= ln(6000/3000)/0.048
t= ln2/0.048
t= 0.6931/0.048
t=14.43
Hence the time is 14.4 years (about 14 years 6 months)approx
Can someone help me I give you 10 points
Answer:
A:40%
B:7.8
Step-by-step explanation:
Using a proportion , you can solve for the bottom side.
13/19.5 = 5.2/x
multiply 19.5 and 5.2 and rewrite the equation
101.4=13x
x=7.8
To find the scale, divide 5.2 by 13
5.2/13=0.4
Double check by dividing 7.8 by 19.5
7.8/19.5=0.4
0.4=40%
please help im desperate
Answer:
D) the number of foxes in the forst after one year
How many students chose Insta?
Answer:
18 students
Step-by-step explanation:
15% chose insta (15/100)*120=18 students
If the interest of a sum of money in 6years is 3 by 8 of the principal what is the rate of interest
Answer: rate of interest (r) = 6.25
Step-by-step explanation:
Simple interest formula is S.I = PxTxR/100
From the question ;
S.I = (3/8) principal
3/8p = px6xr/100
Eliminate p on both sides of the equation
r = (3x100) / (8 x 6)
r = 300 / 48
r = 6.25
help please i really need it
how to solve 9x-5-(-6x)
Answer: 3x-5
Step-by-step explanation:
9x-5(-6x)
9x-5-6x
3x-5
Answer:
15x - 5
Step-by-step explanation:
We have the equation 9x - 5 - (-6x) and are asked to solve it.
We cannot combine 9x and 5 because they have a variable difference, with 9 having x as its variable and 5 having no variable. What we can do is distribute the minus sign to the right of 5 to (-6x), lets do as said :
9x - 5 - (-6x)
Two negatives make a positive, therefore :
9x - 5 + 6x
Since 9x and 6x have the same variable ending, we can combine them, do as followed :
9x - 5 + 6x
9x + 6x
15x - 5
mario earns $62.50 for every 5 hours of work how many hours does he have to work to earn $275 cards
Answer:
22 hours
Step-by-step explanation:
take 62.50 divided by 5 which will get you 12.5 then multiply until you get to $275 for example 12.5 times 22
Marie get allowance everyday she gets 10$ each week she already has 30$ But she wants 90$ how much money does she need to make 90$? this question didnt make sense but my teacher needs this question done so can someone HELP ME
Answer:
She needs $60 more so she has to work 6 weeks to get that much.
Step-by-step explanation:
x = each week
y = total
Equation:
90 = 10x + 30
10x = 60
x = 6
Answer:
She needs 60 dollars, it would take her 6 weeks to reach this amount of money
Step-by-step explanation:
90 - 30 = 60 dollars
60 ÷ 10 = 6
Which angle is in standard position?
Answer:
An angle is in standard position, if its vertex is located at the origin and one ray is on the positive x-axis.
Step-by-step explanation:
Please answer, no jokes or fakes or report
Answer:
375.2887 ft is the answer
Answer:
375.3 ft
Step-by-step explanation:
What we need to do first is divide 175 by the sine of 25°.
175/sin(25°)
175/0.422618
175/1 * 500000/211309
25/1 * 500000/30187
12500000/30187
414.085534 = length of hypotenuse.
Now, find the square root of the difference between c² & a².
b = √414.09² - 175²
b = √171470.528 - 30625
b = √140845.528
b = 375.293922
b ≈ 375.3
The horizontal distance between the technician and the base of the telephone pole is 375.3 ft.
2/3 - 3/2y + 1/3y + 4 = 0
Answer:
y = 4
Step-by-step explanation:
(2/3 + 4) + (-3/2y + 1/3y) = 0
(-3/2y + 1/3y) = -4 2/3
-9/6y + 2/6y = -14/3
-7/6y = -14/3
cross-multiply:
-21y = -84
y = 4
Answer:
y = 4
Step-by-step explanation:
Please use parentheses for clarity, remembering what big differences they make in expression values.
I will assume that your "2/3 - 3/2y + 1/3y + 4 = 0" actually means
2/3 - (3/2)y + (1/3)y + 4 = 0
The LCD here is 6, which is the product of the denominators 2 and 3.
Then your "2/3 - 3/2y + 1/3y + 4 = 0" becomes:
4 - 9y + 2y + 24 = 0, which simplifies to:
28 - 7y = 0. Solving this, we get y = 4
Angela painted 4 pictures in 7 days. She paints additional pictures at the rate of 1 per day. Which recursive function gives the total number of pictures she will have painted at any day in the future? How many pictures will she have painted if she paints for another 5 days after the initial week?
Answer:
The recursive function gives the total number of pictures Angela will have painted at any day in the future is:
PP(t) = t + [tex]\frac{4}{7}t[/tex]The number of pictures will she have painted if she paints for another 5 days after the initial week is:
18.86Step-by-step explanation:
To obtain the recursive function, you must take into account the next:
1. Angela paints 4 pictures in 7 days, by this, you can say Angela paints 4/7 of a picture by day.
2. Angela paints additional 1 picture by day, with this, the number of pictures painted additionally is equal to the time t (because 1 day = 1 picture, 2 days = 2 pictures and so on). With the data taken into account, we can elaborate the next function:
PP(t) = t + [tex]\frac{4}{7}t[/tex]Where:
PP: Painted pictures.t: time in days.For example, if you need to know how many pictures she painted in the first week, you can calculate replacing t by 7:
PP(t) = t + [tex]\frac{4}{7}t[/tex] PP(7) = 7 + [tex]\frac{4}{7}*7[/tex]PP(7) = 7 + 4PP(7) = 11If she paints for another 5 days (I mean 12 days taking into account the initial week), we can calculate:
PP(t) = t + [tex]\frac{4}{7}t[/tex] PP(12) = 12 + [tex]\frac{4}{7}*12[/tex]PP(12) = 12 + [tex]\frac{48}{7}[/tex]PP(12) = [tex]\frac{132}{7}[/tex]PP(12) = 18.86To the day 12, Angela will paint 18.86 pictures.
Answer:
The recursive function that gives the total number of pictures she will have painted at any day in the future is
next = now + 1, starting at 4 , and the total number of pictures after a week plus 5 days is 9.
.
Step-by-step explanation:
A 12 feet tall street light is making an 18 feet shadow at the same time in nearby building is making a 72 feet shadow
Answer: 48 ft
Step-by-step explanation:
Given
Height of street light h=12 ft
length of shadow x=18 ft
Shadow length of building x'=72 ft
suppose the height of the building is y
from the figure, we can write
[tex]\Rightarrow \tan p=\dfrac{h}{x}=\dfrac{12}{18}\\\\\Rightarrow \tan p=\dfrac{y}{x'}=\dfrac{12}{18}\\\\\Rightarrow y=72\times \dfrac{2}{3}=48\ ft[/tex]
A picnic is attended by 3 senior citizens, 12 adults, and 4 teenagers. Write a ratio of:
a. Senior citizens to adults
b. Teenagers to senior citizens
c. Adults to people at the picnic
Given that cos 57° = 0.545, enter the sine of a complementary angle.
sin
h
Answer:
sin 33° = 0.545
Step-by-step explanation:
complementary angle to 57° is 33°
sin 33° = 0.545
Pls help fast pls don't leave a non link
Answer:
A
Step-by-step explanation:
Find X and Y from the given picture
Answer:
Step-by-step explanation:
Polygon ABCD is a scaled copy of polygon EFGH.
Which angle corresponds to angle F?
A
B
C
D
Answer:
Step-by-step explanation:
Solve for x
Help me
Answer: 18.5 equals x.
You set the equation to 90 since it's a square.
your friend decides to toast a piece of bread, but leaves it in the toaster too long. the bread is black and the kitchen is full of smoke.
is the change chemical or physical. and give evidence
Answer:
Chemical because there is a change in color and the smoke is a change of substance.
Step-by-step explanation:
Answer:
Chemical.
Explanation:
So, before the bread was the normal color like all breads are, but then the bread was in the toaster for way to long. It started to turn black. Therefore, the change of color would be a chemical change.
Also this is the wrong subject. I'm pretty sure it's supposed to be Biology.
Please help due tonight
Answer:
7, 10
Step-by-step explanation:
X - 1 is greater than or equal to 6
+1. +1
x is greater than or equal to 7.
7 can work as
7 - 1 is greater than or equal to 6
6 is greater than or equal to 6
10 also works because if you put it in the equation the answer is still more than 6.
guys please help me with this question, I’d appreciate it a lot
Answer:
x = 33°
Step-by-step explanation:
sin x = 6/11
sin x = o.5455
x = 33°
What is the slant height x of the square pyramid?
The figure shows a square pyramid. The slant height is shown as a dashed line perpendicular to the base edge and is labeled as x. The length of half of the base edge is 3 meters. The lateral edge makes a 30 degree angle with the lateral height.
Enter your answer in the box. Express your answer in radical form.
x =
m
What is the name of this graph?
quadratic - degree of 2
quartic - degree of 4
cubic - degree of 3
Answer:
cubic-degree of 3
Step-by-step explanation:
its not the first two, because they have way more waves
A figure as vertices at (-2, 2), (-2, 6), (6, 6), (6, 2). Which shape best describes the figure?
Answer:
A rectangle
Step-by-step explanation:
Which of these n values are solutions to the following equation?
n2 = 2.25
Choose all answers that apply:
А)
n = 1.1
В)
n = -1.1
C)
n = 1.4
D)
n = -1.4
E)
None of the above
Answer:
None of the above
Step-by-step explanation:
Square root of 2.25 is 1.5, not 1.4
Answer:
none of the above
Step-by-step explanation:
did it on khan
TIME REMAINING
57:54
What is the common ratio between successive terms in the sequence?
27, 9, 3, 1, one-third, one-ninth, StartFraction 1 over 27 EndFraction, ...
–3
–
3
Answer:
1/3
Step-by-step explanation:
Answer:
1/3 or c on edge
Step-by-step explanation:
Mount McKinley, in Alaska, is about 3.848 miles high. If a mountain climber can climb 0.25 miles per day, about how long to the nearest day, would it take to climb Mount McKinley?
Answer:
About 16 days.
Step-by-step explanation:
The mountain is 3.848 miles high and you climb 0.25 miles a day. So you have to divide 3.848 by 0.25 and you get 15.392. But since you have to round it to the nearest day, you round it up to 16 because if you round down to 15 you still have 0.392 of a day leftover.
Algebra 2b need help!!
Answer:
The answer is B, It's the only one that doesn't equal to Zero
Step-by-step explanation:
Excluded values are also called points of discontinuity. These are the values that make the denominator equal to zero and are not part of the domain
Basically the answer cannot equal to zero.
2x^2=0
2x^2/2=0/2
x^2=0
x=0
3x+3=0
3x+3-3=0-3
3x=-3
3x/3=-3/3
x=-1
x^2-7=0
x=[tex]\sqrt{7}[/tex], x=[tex]\sqrt{-7}[/tex]
-x-5=0
x=[tex]\sqrt{5} i[/tex], x=-[tex]-\sqrt{5} i[/tex]