A sphere has a volume of 4,500 cubic feet. Find the radius of the sphere.
Step-by-step explanation:
Volume of a sphere is
[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
We are given the volume, v, and asked to find the radius, r.
Substitute 4500 ft^3 for v, solve for r.
[tex]4500 = \frac{4}{3} \times \pi \times {r}^{3} [/tex]
Multiply both sides by 3/4 to eliminate 4/3
[tex] \frac{3}{4} \times 4500 = \frac{4}{3} \times \pi \times {r}^{3} \times \frac{3}{4} [/tex]
[tex] \frac{13500}{4} = \pi \times {r}^{3} \: \\ then \: divide \: by \: \pi[/tex]
[tex] \frac{3375}{\pi} = {r}^{3 \: \: take \: the \: cubed \: root \: of \: both \: sides} [/tex]
[tex] \frac{ \sqrt[3]{ {15}^{3} } }{ \sqrt[3]{\pi} } = \sqrt[3]{r} [/tex]
[tex] \frac{15}{ \sqrt[3]{\pi} } = r [/tex]
That approximates to 10.27 ft^3
delta math (z^r)^2r i need to simplify
Answer:
The answer is r[tex]z^{2r}[/tex]
Step-by-step explanation:
Amanda saves $15 per week for her summer vacation. Write an equation that she can use to.Find S, her savings after W weeks
Answer:
S= 15W
Step-by-step explanation:
Given data
We are told that Amanda saves $15 per week for her summer vacation
Let her total savings be S
and the number of weeks be W
Hence the expression for her savings is
S= 15W
The proof for the power property of logarithms appears in the table with an expression missing. Which expression is missing from the proof?
Hence option b is correct.
What is logarithmic function?
A function of the form is a logarithmic function. "y equals the log of x, base b" or "y equals the log, base b, of x" is how it's written. x > 0 and b > 0, b 1 in both versions. y is not restricted in any way.
How to solve?
Given image shows different types of logarithmic functions used in proof , but [tex]log b^{x-y}[/tex] is not used
Hence option b is correct.
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I need help 25 points
Answer:
|6-8|=2
Step-by-step explanation:
You see, absolute value makes any number positive. It doesn't matter if the number was already positive or negative. |x|>=0. If that makes sense. So, 6-8 would be -2. But -2 in absolute value would be 2.
Help me please answer thanks
One aftemoon 10 inches of snow falls in 1 1/4 hours. At this rate, how many inches of snow fall in 1 hour?
inch(es) per hour
Answer:
8
Step-by-step explanation:
10 divided by 1 1/4 = 8
hellpppppppppppppppp
Answer:
1.875
Step-by-step explanation:
Answer:
1.875
Step-by-step explanation:
1/8 is also equivalent to 0.125 (1 divided by 8) and multiply 0.125 by 15 gives you 1.875
439x2 ( Use only algorithm. )
Answer:
878
Step-by-step explanation:
439 x 2
2x9= 18
2x30=60
2x400=800
Then add
800+60+18
60+18=78
800+78= 878
The width of a rectangle measures (2p-5) centimeters, and its length measures (8p+8)centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer: The expression that represents the perimeter, in centimeters, of the rectangle=20p + 11 centimeters
Step-by-step explanation:
Perimeter of a rectangle = 2(l+w)
length measures (8p+8)centimetres.
width measures (2p-5) centimeters,
Such that Perimeter= 2 L +2 W
Perimeter= 2( 8p+8) + 2(2p-5 ) This gives the expression to solve for the Perimeter
Solving
Perimeter= 2( 8p+8) + 2(2p-5 )
Permeter= 16p+ 16+ 4p-5
Perimeter= 16p+4p+16-5
Perimeter= 20p + 11 centimeters
help only one question please with full step amd if you are right i will mark you as brainlist. 30 point
Answer:
Step-by-step explanation:
The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.
Please help on number 3 I’ll try to give u points
Answer:
Step-by-step explanation:
(0,3)
In addition to the information given below in the drawing, which statement is sufficient to prove triangle STW similar to triangle XYZ?
The additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
Given that, two triangles STW and XYZ, ST = 27, XY = 9, YZ = 8 and XZ = 5
We need to select a statement which will complete the proof of Δ STW ~ Δ XYZ
We know that, Similar triangles have the same corresponding angle measures and proportional side lengths.
If we consider Δ STW ~ Δ XYZ,then we get,
ST / XY = TW / YZ = SW / XZ = 3
Therefore,
SW / XZ = 3
SW / 5 = 3
SW = 15
Also,
TW / YZ = 3
TW / 8 = 3
TW = 24
Hence, the additional information which needed to prove triangle STW similar to triangle XYZ are SW = 15 and TW = 24
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please hurry and answer correctly
Answer:
384
Step-by-step explanation:
A = (a+b) · h/2
Suppose that when a car goes over a bump, the impact hat must be absorbed by the suspension is directly proportional to the square of the car's speed. Of a car going 12 mph receives 4000 units of impact, ow much impact will a car received at 30 mph
Answer:
10000 units of impact
Step-by-step explanation:
From the above question:
12 mph = 4000 units of impact
30 mph = x units of impact
Cross Multiply
12 mph × x units = 30 mph × 4000 units
x units = 30 mph × 4000 units/12 mph
x units = 10000 units of impact.
Therefore, 30 mph receives 10000 units of impact
2(3x – 1) = 6x – 2 number of solutions
Answer: All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3x−1)=6x−2
Step 1: Simplify both sides of the equation.
2(3x−1)=6x−2
(2)(3x)+(2)(−1)=6x+−2(Distribute)
6x+−2=6x+−2
6x−2=6x−2
Step 2: Subtract 6x from both sides.
6x−2−6x=6x−2−6x
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Answer:
2(3x – 1) = 6x – 2 number of solutions
Step-by-step explanation:
Graph the line with a slope of 2/3 that contains the point (−3,−5)
Answer:
Step-by-step explanation:
So for the given information, it would be easiest to use slope-intercept form, which is y=mx + b, where m is the slope and b is the y-intercept.
We can plug in 2/3 for the slope, because we are given that.
y=2/3x + b.
To find the y-intercept, plug in the given point for x and y and solve for b.
-5 = 2/3 · (-3) + b
-5 = -2 + b
b = -3
So now we have the complete equation of the line.
y = 2/3x -3
Now to graphing.
We can put the y-intercept, (0, -3), and the given point, (-3, -5) on a graph.
Determine the slope & y intercept for the line shown . Then write the equation of the line . If you hurry I’ll mark you brainliest
Answer:
y = 1/4x + 2
Step-by-step explanation:
slope is 2/8 which is simplified to 1/4
y intercept is 2
which expression is equivalent to -4(3d-2)-7
a typical tip in a restaurant is 18% of the bill. If the bill is 150,what would the typical tip be
You want to leave a 18% tip on a meal that cost $150.
First, convert the 18% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 18%) by 100%.So, the conversational term "18%" becomes 18% / 100% = 0.18 in terms of a real mathematical number.
Second, you need to find out what 18% of your $150 meal cost is.This is always done by multiplying 0.18 by $150.00, or
0.18 x $150.00=$27.00.
So, the amount of tip you are going to leave is $27.00.
This makes the total cost of your meal (to write on your charge slip or other payment)
$150.00 + $27.00 = $177.00.
-By TheRealMarinette
Please do not copy N Paste This Answer.
PLEASE HELP ASAP WILL GIVE BRAINLEAST!!!!!!!
Select all the pairs that are alternate interior angles.(multiple choice)
A-∠5 and ∠4
B-∠6 and ∠5
C-∠2 and ∠8
D-∠8 and ∠1
E-∠3 and ∠5
Answer:
Answer is C and E!
-Sumin <3
use the graph to estimate the solution to the system of equations shown.
A. x=5 1/2, y= 3 1/4
B. x= -3 1/2, y= -5 1/4
C. ×= 3 1/2, y= 5 1/4
D. x= -5 1/2, y= -3 1/4
==============================================================
Explanation:
The solution occurs where the two lines intersect. From this intersection point, draw a vertical line upward until you reach the x axis. We arrive somewhere between -5 and -6. A good estimate is to say that we're at the midpoint, so x = -5 & 1/2 is one possible estimate
Since only choice D has this x value, this must mean choice D is the answer. The y coordinate of y = -3 & 1/4 seems to fit as well since we can draw a horizontal line from the point of intersection to the y axis, and arrive somewhere just a little below -3.
what is the slope of the line containing the points (1,10) and (-3,10)
Answer:
0
Step-by-step explanation:
Slope is Rise over Run (y / x).
For 2 points, you would take the difference of y-coordinates and divide by the difference of x-coordinates.
(Y1 - Y2) / (X1 - X2)
Since both y-coordinates are the same (ten minus ten), your slope is zero (zero divided by anything is zero).
100 POINTS AND BRANLIEST SUPER EASY
For which equation is (4, 3) a solution?
y = x + 3
y = 3 x – 4
y = 2 x – 5
y = 2 x – 1
Answer:
y = 2 x – 5
Step-by-step explanation:
We can check all of them starting with equation 1.
y = x + 3
3 = 4 + 3
3 = 7
NOT TRUE
Equation 2:
3 = 3(4) - 4
3 = 12 - 4
3 = 8
NOT TRUE
Equation 3:
3 = 2(4) - 5
3 = 8 - 5
3 = 3
TRUE!
This means the last equation is not true.
Jenny makes bottle cap necklaces for the Bottle Cap Boutique. Each necklace has 6 small bottle caps on it. If she has 2,520 bottle caps, how many necklaces can she make?
Answer:
420
Step-by-step explanation:
Here is a sequence of numbers:
1
3
6
10
15
What is the name given to these numbers?
Triangular number sequnce
if you haue 189*123 cats what isthe ansr
Answer:
23247 cats
Step-by-step explanation:
In the figure, j∥k and m∠1 = 63°.
What is the m∠4?
Enter your answer in the box.
°
Answer:
∠ 4 = 117°
Step-by-step explanation:
∠ 1 and ∠ 4 are alternate angles and supplementary, sum to 180°, then
∠ 4 = 180° - 63° = 117°
Answer: The answer is 117
Step-by-step explanation: I just took the Quiz hehe lol
Find the value of x in the triangle shown below.
8
2
Answer?
Use the distributive property to remove the parentheses.
-4(p - 212) = 44
Solve for the remaining two step equation.
I need this very quickly
Answer:
P = 201.
Step-by-step explanation:
In mathematics, distributivity is a property of binary operations in which the multiplication is distributed, dividing the same multiplier by the different multipliers to obtain the result.
Thus, to solve the equation -4 (P - 212) = 44 the following calculation must be performed:
-4 (P - 212) = 44
(-4 x P) - (-4 x 212) = 44
-4P - (-848) = 44
-4P + 848 = 44
-4P = 44 - 848
-4P = -804
P = -804 / -4
P = 201