Answer:
2,778 in³
Step-by-step explanation:
Volume cube
v = 18³
v = 5,832
Volume sphere
v = (4/3)π9³
v = 3,053.6280592893
Volume space
v = 5,832 - 3,053.6280592893
v = 2,778.3719407107
2,778 in³
Answer:
Step-by-step explanation:
We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume
V = 18³ so
V = 5832 inches cubed. Now for the sphere.
The formula for the volume of a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex] and we will use 3.1415 for π.
[tex]V=\frac{4}{3}(3.1415)(9)^3[/tex] which gives us
V = 3053.538
Subtracting the volume of the sphere from the volume of the cube:
V = 5832 - 3053.538
V = 2778.462 inches cubed
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
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What is the area of the shaded sector
Answer:
Area = 634.21 square metre
Step-by-step explanation:
Area of shaded region = Area of the circle - Area of the sector
[tex]Area \ of \ the \ circle = \pi r^2 = 225 \pi\\\\Area \ of \ the \ sector = \pi r^2 \frac{ \theta}{360} = \pi \times 225 \times \frac{37}{360}[/tex]
[tex]Area \ of \ shaded \ region = 225 \pi - (225 \pi \times \frac{37}{360})[/tex]
[tex]= 225 \pi (1 - \frac{37}{360})\\\\= 225 \pi \times 0.89722\\\\=634.21 m^2[/tex]
Can someone please help me?
Answer:
Hello! answer: 21.4
Hope that helps!
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What is the probability that you draw a day of the week that starts with the letter 'S' and choose a month that starts with the same letter?
Answer:
its 2/7 for the day and 1/12 for the month
Step-by-step explanation:
the probability of picking both of them is 2%
what is the answer to x^{2}-2x=15
Answer:
Two solutions:
x = 5 and x = -3
Step-by-step explanation:
Simplify:
x^{2} - 2x = 15
-15 -15
x^{2} - 2x -15 = 0
Find what numbers multiplied by eachother equal -15 and also add to -2:
-5 * 3 = -15
-5 + 3 = -2
Rewrite equation and put each expression equal to 0:
(x - 5)(x + 3) = 0
x - 5 = 0 x + 3 = 0
+5 +5 -3 -3
x = 5 x = -3
Solve for x
|2x+1| + |3x-4| = 5
Answer:
X=0 or x=8/5
Step-by-step explanation:
Find a.
Write your answer in simplest radical form.
Answer:
[tex]a=10[/tex]
Step-by-step explanation:
This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.
Special Right Triangles:
In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]
help now pls i need a lot of help pls help meh
Answer:
28+36+y= 180
The value of y is 116
Step-by-step explanation:
Expand.
Your answer should be a polynomial in standard form
−5q 2 (−q−5)
Answer:
(i think)
5q3+25q2
Step-by-step explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.a
x2+bx+c
5⋅1(q2q)+25q2
Simplify each term
answer- 5q3+25q2
what is the value of x if x =3^2
Answer:
9
Step-by-step explanation:
Raise 3 to the power of 2.
The expression for “ 6 is added to 3 times b" can be
A. 6b + 3
B. 2( 3 + b)
C. 3(2 + 3b)
D. 3(b + 2)
Answer:D
Step-by-step explanation: The answer would be 3b+6 and when you solve 3(b+2) you get 3b +6)
3 times b is 3b and when you add 6 it becomes 3b+6 or 3(b+2)
Answer:
A seems correct
Step-by-step explanation:
so 6 must be multiplied b times and added to 3
Find the slant height l of the cone given the surface area S.
S=126π cm²
The slant height is
centimeters.
9514 1404 393
Answer:
15 cm
Step-by-step explanation:
The formula for the surface area of the cone is ...
A = πr² +πrL = πr(r +L)
The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...
126π cm² = π(6 cm)(6 cm +L)
21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm
15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm
The slant height is 15 centimeters.
28Million rouned to the nearst 10
Answer:
Exactly 28million
Step-by-step explanation:
i need help fast please
Answer:
40/30
Step-by-step explanation:
[tex]tan = opposite/adjacent[/tex]
[tex]tan\ \angle Z = \frac{40}{30}[/tex]
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Given the triangle below find the measure of ZF and ZD.
D
20
E
F
17
ZF-
ZD=
Answer: angle f is 31.788 and angle d is 58.212
Step-by-step explanation:I need one more brainliest for next rank I’d appreciate it
Wrestling coach is entering his team in a tournament there is a $75 fee for each team entered plus a five dollar fee for each wrestler entered The total cost 1013 in a wrestling tournament can be represented by the equation F=5w+75 where f is the total fee and w is the number of wrestlers entered
Answer:
188 wrestlers
Step-by-step explanation:
Given
[tex]F =5w + 75[/tex]
[tex]F = 1013[/tex]
Required
Determine the number of wrestlers (w)
We have:
[tex]F =5w + 75[/tex]
Substitute: [tex]F = 1013[/tex]
[tex]1013 = 5w + 75[/tex]
Collect like terms
[tex]5w = 1013 - 75[/tex]
[tex]5w = 938[/tex]
Divide both sides by 5
[tex]w = 187.6[/tex]
Round up to get the number of wrestlers
[tex]w = 188[/tex]
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Answer:
0.5 or 1/2
Step-by-step explanation:
each number is half of the bigger triangle. so the answer should be half or 0.5.
EX: 48 x 0.5 = 24
Given that line q has the following points (5,-2) and (2, 1). Write an
equation of a line perpendicular to line q in slope intercept form that goes
through the point (4, -2).
y = mx + b
m =
b =
Answer:
equation of a straight line in slope intercept form is x+y-2=0
Step-by-step explanation:
PLEASE HELP SOOOOOON!!
What is the surface area of this square pyramid represented by this net?
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Answer:
144
Step-by-step explanation:
((9*6/2)*4)+(6*6)=144
What is the mean of this set of numbers?
12, 33, 19, 26, 24, 30
4 divided by 1/3=___
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Janae has a soap bottle that has $474$ mL of liquid soap. Each push of the pump uses $8$ mL of soap. There needs to be at least $50$ mL of soap in the bottle for the pump to work.
Answer:
53 pushes
Step-by-step explanation:
Total Volume of soap = 474 mL
Volume per push = 8mL
Mimimum volume required = 50mL
The equation which represents the number of push, x that can be made :
Total volume = minimum volume + (volume per push * number of pushes)
Total volume = 50 + (8 * x)
474 ≤ 50 + 8x
474 - 50 ≤ 8x
424 ≤ 8x
53 ≤ x
The number of pushes that can be made = 53
A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercep
Answer:
Step-by-step explanation:
No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.
A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495 grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh
Answer: [tex]32.909\ \text{ounce}[/tex]
Step-by-step explanation:
Given
3.25 cm long segment of rope weighs [tex]61.40\ gm[/tex]
Using unitary method
1 cm of a segment measures
[tex]\dfrac{61.40}{3.25}=18.892\ gm[/tex]
[tex]1\ cm\equiv 18.892\ gm[/tex]
converting cm to inch and gm to ounce
[tex]\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}[/tex]
for 19.45 in., weight is
[tex]\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}[/tex]
Answer:
✅ C. 32.92 ozi got it right⬇
Which one of the following statements is FALSE?
A)The mode is the number (or numbers) that occurs most frequently in the set.
B)The median is the middle of a set of numbers arranged in numerical order.
C)The mean is the average of all the data values.
D)Standard deviation is the difference between the largest and smallest value in the set.
Answer:
D
Step-by-step explanation:
Measures of central tendency assist in the discovery of a data set's middle, or average. The statement that is incorrect out of the given statements is option D.
What is the measure of central tendency?Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.
Mode: It is the most common value in a given data set.Median: In an ordered data set, the median is the number in the middle.Mean: It is the total number of values divided by the sum of all values.The range is the difference between the largest and smallest value in the set. Therefore, The statement that is incorrect out of the given statements is option D. Standard deviation is the difference between the largest and smallest value in the set.
Learn more about the Central Tendency:
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what is mass and solid and gas
What is every way to write a ratio?
Answer:
Step-by-step explanation:
AN Example of every way to write a ratio is:
3 to 63:63/6which one you choose will depends on the problem or situation
Help please I don’t understand
Answer: 2/3
Step-by-step explanation:
there are 24 pets total (count all of the dots on the plot)
16 students have 2 or more pets (count the dots from point 2 until 6)
your fraction is 16/24
16/24 is 2/3 simplified
hope this helps
please help!! 20 points. if you guess or just comment something to take points i will have you reported and make sure your account gets banned, thanks! i want a explanation pls
Answer:
x=5
Step-by-step explanation:
to find volume: length x width x height
the first rectangular prism volume: 15*5*5= 375 in³
because they have the same volume, you would set the other rectangular prism equal to 375: 25*3*x=375
75*x=375
divide both sides by 75: x=5