Answer:
about 128 inches
Step-by-step explanation:
Since it's talking about how much the container is holding, this means we have to use the formula for the volume of a cone, which is [tex]V=\pi r^{2} \frac{h}{3}[/tex]
Plug in the given values into the formula and solve for h:
[tex]340.2=\pi (5)^{2} \frac{h}{3}[/tex]
[tex]340.2=\pi (25)\frac{h}{3}[/tex]
[tex]\frac{340.2}{25\pi } = \frac{25\pi\frac{h}{3} }{25\pi }[/tex]
[tex]42.75=\frac{h}{3}[/tex]
[tex]42.75(3)=\frac{h}{3} (3)[/tex]
[tex]128=h[/tex]
The surface area of a sphere with a diameter of 12 units is:
Answer:
Surface area of sphere = 4πr²
r = radius
radius = diameter /2
= 12/2
= 6units
Surface area = 4π×6²
= 144π
= 452.4 square units
Hope this helps.
Solve: g^2x + 1 = g^3x – 2
[tex]\displaystyle\bf\\g^{2x+1}=g^{3x-2}\\\\g=g\\\\3x-2=2x+1\\\\3x-2x=1+2\\\\\boxed{\bf x=3}[/tex]
I NEED HELP PLEASE, THANKS! :)
Answer: b) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
Step-by-step explanation:
Graph the equation and the follow the curve from left to right. When you are going up, it is increasing. When you are going down, it is decreasing.
see the image below. Red is increasing. Blue is decreasing.
The vertices occur when x = -4/3 and x = 4/3
A bag contains green yellow and orange marbles the ratio of green marble to yellow marble is 2 : 5 the ratio of yellow arbles to orange marbles is 3 : 4 what is the ratio of green marbles two orange marbles
Answer:
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
Step-by-step explanation:
Let G, Y and O represent green, yellow and orange marbles respectively.
Given;
the ratio of green marble to yellow marble is 2 : 5
G:Y = 2:5
G/Y = 2/5
the ratio of yellow arbles to orange marbles is 3 : 4
Y:O = 3:4
Y/O = 3/4
the ratio of green marbles to orange marbles G:O;
G/O = G/Y × Y/O
Substituting the values;
G/O = 2/5 × 3/4
G/O = 3/10
G:O = 3:10
the ratio of green marbles to orange marbles is 3:10
PLEEEEEEEEEEEASE HELP
The function f(n) represents an arithmetic sequence where the first term is 5 and each term increases by 5. What is f(8)?
Step-by-step explanation:
5f
5 + n times of a number
5.
The total length of 2 pieces of rope is
108cm. If one piece is 18cm shorter, what is
the length of the longer piece?
Answer:
63 cm
Step-by-step explanation:
piece 1: x
piece 2: x - 18
First you would subtract 2x - 18 = 108
Second you would add 108 + 18 = 2x
Third you would divide 126 divided by 2x = 63
So that would mean x = 63
Answer:
63cm
Step-by-step explanation:
2 pieces of rope, and one is shorter by 18cm.
piece 1: x
piece 2: x-18
Add the equations together, combine both pieces
2x-18
2x-18 = 108
108+18 = 2x
126 = 2x
x = 63
What is the product?
1
12
64
2
78
30
6
32
78 30
6
64
78 30
6
32
39
15
6
64
39 30
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
Answer:
Answer:
9.3526131e+34
Step-by-step explanation:
112*642=71904*4948560=355821258240*7830*664=1.8499574e+18*7830*632=9.1546252e+24*3915*664=6.7577122e+12*3930=2.6557809e+16=9.3526131e+34
The diagonal of a rectangle is 58" the site is 40" and the base is 42" what is the ratio of the diagonal to the base of the rectangle
Answer:
29:21
Step-by-step explanation:
The ratio of the diagonal to the base of ration is written as 58:42.
The ratio has the greatest common factor as 2.
58÷2:42÷2
29:21
The simplified ratio becomes 29:21.
Which of the following is a like radical to 6x2?
o x(V6x
(VR)
o 6
3
O
4
6x2
o x(VB)
Answer:
3
Step-by-step explanation:
The digits of both the two-digit numbers in the first calculation below have been reversed to give the two-digit numbers in the second calculation. The answers to the two calculations are the same. 62 × 13 = 806 26 × 31 = 806 For which one of the calculations below is the same thing true
Answer:
42x48
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
X2-16x + 28
O A. x+7
O B. x2 + 7
O c. x+4
O D. X-14
Answer:
x-14
Step-by-step explanation:
The binomial which is a factor of this trinomial is (x- 14).
What is Trinomial?An algebraic expression with three terms is called a trinomial.
Examples of a trinomial expression: x + y + z is a trinomial in three variables x, y and z.
Given:
p(x) = x²-16x + 28
If x+ a is factor of any polynomial p(x) then x= -a satisfy the polynomial.
factorizing p(x)
x²-16x + 28
= x²-14x + 2x + 28
= x( x- 14) + 2 (x+ 14)
= (x- 14)(x+ 2)
Hence, the binomial is (x- 14).
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what is the area of the figure below use 3.14 for pie
Answer:
Answer CL 586 cm^2
Step-by-step explanation:
Hello. It's pi, not pie.
The area of the triangle is A1 = (1/2)(base)(height) = (1/2)(18 cm)(7 cm), or
A1 = 63 cm^2.
The area of the rectangle is A2 = (base)(height) = (18 cm)(22 cm) = 396 cm^2.
The area of the semicircle is A3 = (1/2)(pi)(9 cm)^2 = 3.14(81 cm^2)(1/2) = 127 cm^2
Thus, the total area of the figure is A = 127 cm^2 + 396 cm^2 + 63 cm^2, or
586 cm^2 approximately.
please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment....
-5(x - 1) = 2x - 7x + 5
Answer:
This is true! 1x=1
Step-by-step explanation:
So let's rewrite the question again.
-5(x - 1) = 2x - 7x + 5
So we will solve from left to right.
-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.
-5(x - 1) = -5x+5
2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.
2x - 7x + 5 = -5x+5
Now, here is the equation that we have so far.
-5x+5 = -5x+5
+5x +5x
----------------------
5=5
-5 -5
0=0
So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:
All Real Numbers
Can somebody help me with this ?? :)
Answer:
B.
Step-by-step explanation:
ABC ≅ XYZ
∠A≅∠X
∠B≅∠Y
∠C≅∠Z
Also, should be
AB =XY
BC=YZ
CA=ZX
By ASA, ∠A≅∠X, AB =XY, ∠B≅∠Y.
Answer B.
Sylvie finds the solution to the system of equations by graphing.
y =2/3x + 1 and y = -2/3x-1. Which graph shows the solution to Sylvie's system of equations?
Answer:
The third graph is your answer.
Step-by-step explanation:
I included a graph below with the correct graphing.
12:13:14 = 48:x:56
What is x?
Answer:
x = 52
Step-by-step explanation:
You are given ratios, and the 1st ratio is being multiplied by 4 to get the second ratio. How did I find this? Divide 48 by 12 and you get 4. To find x, simply multiply 13 by 4 and you should get 52
Grace wants to attend University of Oklahoma. One year at University of Oklahoma costs approximately $20,000. She currently has $4,000 in savings. Grace has received a one-time grant of $1,000 and an annual academic scholarship for $4,000. She plans to enroll in the work study program that will pay $9,000 annually for part-time work. How much will Grace need to borrow in student loans in order to attend University of Oklahoma for 4 years?
Answer:
Grace needs to borrow $23,000 in students loan in order to attend University of Oklahoma for 4 years.
Step-by-step explanation:
Cost for one year at University of Oklahoma = $20,000
Cost for 4 years = 4 × $20,000 = $80,000
Total amount Grace would have in 4 years = $4,000 + $1,000 + ($4,000×4) + ($9,000×4) = $57,000
Amount she needs to borrow = $80,000 - $57,000 = $23,000
what is a graph that has a limited number of data point
Answer:
Line Graph
Step-by-step explanation:
A line graph shows how values change. For example you could plot your growth over time .And lind graphs can show you how functions change.
Points C, D, and G lie on plane X. Points E and Flie on
plane Y
Which statements are true? Select three options.
There are exactly two planes that contain points A,
B, and F.
X
B
There is exactly one plane that contains points E, F,
and B.
A
The line that can be drawn through points C and G
would lie in plane X.
The line that can be drawn through points E and F
would lie in plane Y.
The only points that can lie on plane Y are points E
and
E
Answer:2nd, 3rd and 4th
Step-by-step explanation:
What is 12 1/2 - (-4 1/2)
Answer:
the correct answer is
Step-by-step explanation:
= 12 1/2 - (-4 1/2)
=17
hope this helps you!!!!!
Answer:
17
Step-by-step explanation:
12 1/2 - (-4 1/2)
Turn to improper fractions.
25/2 - (-9/2)
Negative times negative is positive.
25/2 + 9/2
Add fractions with common denominators.
34/2
Divide.
= 17
What is the distance on a Cartesian coordinate plane from (1, -1) to (7, 7)?
Answer:
10
Step-by-step explanation:
Use the distacne forumla to find the differnece between the two points.
8−4(−x+5) A: 4x-12 B: -4x- 12 C: 4x + 13 D: 4x + 5
Step-by-step explanation:
8-4(-x + 5)
8 + 4x - 20
4x - 12
Here is a list of numbers: 8, 6, 19, 14, -19, -3, -14, 20, -9 State the median.
Answer:
6
Step-by-step explanation:
rearrange the numbers from smallest to biggest:
-19, -14, -9, -3, 6, 8, 14, 19, 20
the set of data the question requires is the middle data. there are 9 sets of data. the middle data = (9 + 1) ÷ 2 = 5
find the fifth piece of data from the rearranged order.
ans: 6
Answer:
6
Step-by-step explanation:
gotchu G
Angela is following this recipe to make biscuits.
Angela uses 1.8 l of syrup.
How much margarine is needed in kg?
Recipe: Makes 10 biscuits
150 g margarine
180 g sugar
225 ml syrup
225 g oats
40 g sultanas
Asapppp
Answer : The amount of margarine needed is 1 kg.
Step-by-step explanation :
First we have to convert volume of syrup from mL to L.
Conversion used:
1 L = 1000 mL
or, 1 mL = 0.001 L
So, 225 mL = 0.225 L
Now we have to calculate the amount of margarine needed.
As, 0.225 L of syrup needed 150 g of margarine
So, 1.8 L of syrup needed [tex]\frac{1.5L}{0.225L}\times 150 g=1000g[/tex] of margarine
Amount of margarine needed = 1000 g = 1 kg (1 kg = 1000 g)
Therefore, the amount of margarine needed is 1 kg.
Which value of n makes the equation true? -1/2n = -8
A.) -16
B.) -4
C.) 4
D.) 16
Answer:
D
Step-by-step explanation:
When we divide the entire equation by -1/2 to get rid of the coefficient of n we get n = 16.
Answer:
D.) 16
Step-by-step explanation:
Solve for n:
-n/2 = -8
Multiply both sides of -n/2 = -8 by -2:
(-2 (-n))/2 = -2 (-8)
-2×(-1)/2 = (-2 (-1))/2:
(-2 (-1))/2 n = -2 (-8)
(-2)/2 = (2 (-1))/2 = -1:
--1 n = -2 (-8)
(-1)^2 = 1:
n = -2 (-8)
-2 (-8) = 16:
Answer: n = 16
Mr Frank purchased 5_1/4 pounds of rocks. He used 3/5 of a pound on one aquarium. He then split the rest of the rocks between his three remaining aquariums. How many rocks will be in one aquarium?
Answer:
1_11/20 pounds, or 1.55 pounds.
Step-by-step explanation:
Since at the beginning, he had 5 1/4 pounds and used 3/5, we subtract the amount of pounds. We are then left with 93/20 pounds, which he then splits among 3 containers. Dividing by three, we then get 31/20 pounds in one aquarium, or 1 11/20 pounds in each aquarium or 1.55 pounds.
Maurice bought 25 shares of stock at $9.85 per share and sold them for $11.22 per share. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Solution: 25 × $9.85= $246.25 purchase price
25 × $11.22 = $280.5 sale price
$280.5 – $246.25 = $34.25 profit in dollars
$34.25 ÷ $246.25 = 0.139 = 13.9% ROI
Purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
What is purchase price?
" Purchase price is defined as the total amount paid to buy any product."
Formula used
Profit = Selling price - Purchase price
Profit percentage = [tex]\frac{profit}{cost price} (100)[/tex]
According to the question,
Total number of shares = 25
Purchase price of one share = 9.85 dollars
Selling price of 1 share = 11.22 dollars
Therefore,
Purchase price of 25 shares = (9.85 × 25 )dollars
= 246.25 dollars
Selling price of 25 shares = (11.22 × 25) dollars
= 280.5 dollars
Selling price > Purchase price
Therefore,
Profit = Selling price - Purchase price
= 280.5 - 246.25
= 34.25 dollars
Substitute the value in the formula we get,
Profit percentage = [tex]\frac{34.25}{246.25} (100)[/tex]
= 13. 9 percentage ( nearest tenth)
Hence, purchase price of the share is equals to 246.25dollars.
Profit percentage is equals to 13.9 percentage ( nearest tenth).
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What is the decimal multiplier to decrease by 1.7%?
Answer:
0.983
Step-by-step explanation:
100(0.983)=98.3
Answer:
[tex]0.983[/tex]
Step-by-step explanation:
[tex]\frac{100-17/10}{100}[/tex]
[tex]\frac{100-1.7}{100}[/tex]
[tex]=0.983[/tex]
Which transformation(s) can map TriangleMNQ onto TrianglePQN?
translation only
reflection only
rotation, then reflection
rotation, then translation
Answer:
Translation
Step-by-step explanation:
Answer:
D. Rotation then translation
Step-by-step explanation:
please help.. GP is geometric progression
Answer:
unanswerable,don't censore the question
Step-by-step explanation:
sorry pal
Answer:
n is the seventh term=5832
Step-by-step explanation:
a1=8
r=3
a(n)=a1*r^(n-1)=
an=8*3(n-1)
8+24+72+216+648+1944+5832=8744