Answer:
24416.64 cubic centimeters
Step-by-step explanation:
The equation for the volume of a sphere is [tex]V=4/3\pi r^3[/tex]. The radius given is 18cm and we are instructed to use 3.14 instead of pi, so our equation will be [tex]V=4/3(3.14)(18^3)[/tex]. Once this is multiplied out, we see that the volume of the sphere is 24416.64 cubic centimeters.
Hope this helps! :)
help asap please bbbbb
Answer:432 whats the other option 4300
Step-by-step explanation:
Pls help me and show work! Thank you <3
Answer: 27
Step-by-step explanation:
By the same-side interior angles theorem, [tex]x+72+3x=180 \longrightarrow x=\boxed{27}[/tex]
A bag contains 2 gold marbles, 8 silver marbles, and 20 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $5, if it is silver, you win $2. If it costs $1 to play, what is your expected profit or loss if you play this game?
Answer:
expected loss of 4/30 ≈ 0.13 dollars
Step-by-step explanation:
profit = revenue - expenses
expected profit= expected revenue - expected expenses
how i solve this is by multiplying each revenue and expense by its probability and solving from there
revenue of gold = 5
revenue of silver = 2
revenue of black = 0
this exhausts all of our revenue options
total marbles = 2+8+20 = 30
# of gold marbles = 2
probability of gold = 2/30
# of silver marbles = 8
probability of silver = 8/30
# of black marbles = 20
probability of black = 20/30
expected revenue = sum of possible revenues multiplied by their probability
= 5 * 2/30 + 2 * 8/30 + 0 * 20/30 = 10/30 + 16/30 = 26/30
cost = 1 no matter what
expected profit = expected revenue - expected expenses
= 26/30 - 1
= -4/30
= an expected loss of 4/30
4/30 ≈ 0.13
What is the solution of the system of equations shown in the following graph? Please help
Answer:
aedi on
Step-by-step explanation:
.
Which line is parallel to the line that passes through the points of (2,-5) and (-4,1)
Answer:
y= -x-5
Step-by-step explanation:
m=1-(-5)/-4-2
m=-1
-1= -x
y=-x-5
Which compound inequality has a solution set of all real numbers?
Question 5 options:
a) x > -2 or x < 1
b) x < -1 and x > 2
c) x < -1 and x > 2
d) x < -3 or x > -2
Answer:
If the number on the other side of the inequality sign is negative
Step-by-step explanation:
I just know okay
Ronald's bill at the end of his lunch was $20.00. Using a proportion, determine the amount of his bill that he must leave for a 19% tip.
Answer:
23.80$
Step-by-step explanation:
[tex]\frac{20}{x} =\frac{100percent}{19percent}[/tex]
X = (20 × 19) ÷ 100
X =380 ÷ 100
X = 3.8$
20.00+ 3.8=
23.80
The point B (3, -1) has been translated from A by the Vector (4∗3) . What are the coordinates of A?
If point B (3, -1) has been translated from A by the Vector (4, 3). Then the coordinates of A will be (12, -3)
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
Point B (3, -1) has been translated from A by the Vector (4, 3).
Then the coordinates of A will be
Point B (3, -1) x (4, 3)
Point B (3 x 4, -1 x 3)
Point B (12, -3)
More about the transformation of a point link is given below.
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Please answer QUICK!! for brainliest!!!
Answer:
1
Step-by-step explanation:
The 2 equations have different slopes, so they have 1 solution.
A standard NBA basketball has a diameter of 24.1 cm. What is the volume of a standard NBA basketball?
a.7,329 cm3
b.270 cm3
c.58,633 cm3
d.1,629 cm3
The volume of a standard NBA basketball is 7,329 cm³.
What is the volume of a sphere?The volume of a sphere is given by the formula,
V = 4/3×π×r³
Given the diameter of the ball is 24.1 cm, therefore, the radius of the ball will be 12.05cm (half the diameter of the ball). Thus, the volume of the NBA basketball will be,
V = 4/3 × π × (12.05)³
V = 7,329.084 cm³ ≈ 7,329 cm³
Hence, the volume of a standard NBA basketball is 7,329 cm³.
Learn more about Volume of a sphere here:
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If each student needs 1/3 of a stick of clay to do an art project,and there are 4 sticks of clay, how many students can do the art project?
Answer:
12 students
Step-by-step explanation:
Because the total is 4 sticks, and each student needs 1/3 of a stick, we would have to see how many 1/3 sticks fit into 4 sticks. Because 3 of the 1/3 sticks fit into 1 stick, then 4 sticks would be 4*3=12 of the 1/3 sticks, which means 12 students can do it.
We could also just do: 4/(1/3)= 4*(3/1)=12
This is fractional division. The second value of the division process, we switch the numerator and denominator's, and the expression turns to a multiplication expression, where we can just multiply.
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Bluegrass was develope from tradition
Simple / repetitive cuord proggression the
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the country Acoustic instrumen
7. What wast the social significance of cover songs in early
What was the significance of cover songs in early rock music
Frankie wants to build a path from one corner of his yard to the opposite corner. His yard measures 20 ft. x 32 ft. What will be the length of his path to the nearest tenth of a foot? 21.5 ft 25.0 ft 32.6 ft 37.7 ft
Answer:
37.7 ft
Step-by-step explanation:
This is Pythagorean Theorem aka A^2+B^2=C^2
20^2+32^2=C^2
400+1024=C^2
1424=C^2 (now square root both sides)
37.7359…
Closest answer is 37.7 ft
Answer: [tex]37.7ft[/tex]
Step-by-step explanation:
[tex]a=32, b=20[/tex]
[tex]look[/tex] [tex]for~ the ~hypotenuse~ c[/tex]
[tex]a^2+b^2=c^2[/tex]
[tex]\sqrt{32^2+20^2} =37.7ft[/tex]
PLEASE HELP ME !!!!
Answer:
D
Step-by-step explanation:
Exterior means outside which means it has to be one of the angles outside the triangle.
Options A, B, and C have angles inside the triangle.
Option D is the only angle outside the triangle
Mr. Linares manages a construction company which is currently hiring. If today he interviewed 4 carpenters and 2 masons, what is the probability that the first applicant he saw was a carpenter?
Answer:
2/3
Explanation:
total people: 4 + 2 = 6 people
carpenters: 4 carpenters
probability = favourable outcomes/total possible outcomesprobability = 4/6 ≈ 2/3
Answer:
P (carpenter) = 2/3 or 0.67
Step-by-step explanation:
Probabilty of seeing a Carpenter first
Number of carpenters = 4Total number of applicants = 4 + 2 = 6P = No. of carpenters / Total applicants⇒ P (carpenter) = 4/6
⇒ P (carpenter) = 2/3 = 0.67
Diagonal of a square is 4 root 2. Find the length of a side of a square
Check the picture below.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{4\sqrt{2}}\\ a=\stackrel{adjacent}{s}\\ b=\stackrel{opposite}{s}\\ \end{cases}\implies (4\sqrt{2})^2~~ = ~~s^2~~ + ~~s^2 \\\\\\ 4^2\sqrt{2^2}~~ = ~~2s^2\implies 16(2)=2s^2\implies 32=2s^2\implies \cfrac{32}{2}=s^2 \\\\\\ 16=s^2\implies \sqrt{16}=s\implies \boxed{4=s}[/tex]
What is the surface area of the cylinder with height 3 km and radius 3 km? Round your answer to the nearest thousandth.
Answer:
A≈113.1km²
Step-by-step explanation:
Part A
If Wendell creates a scale drawing using the scale 1 inch to 10 feet, what will the dimensions of the deck in the scale drawing be?
Part B
In the scale drawing, what will the length of the east side of the backyard be?
Part C
In the scale drawing, what will the length of the south side of the backyard be?
Part D
In the scale drawing, what will the length of the west side of the backyard be?
Part E
In the scale drawing, what will the length of the north side of the backyard be?
Part F
Two corners of the backyard are right angles. The third corner forms an obtuse angle measuring 127º. The fourth corner forms an acute angle measuring 53º. When transferring these angle measurements from the real world to the scale drawing, will their measures increase, decrease, or stay the same?
Part G
In the scale drawing, what is the area of the lawn (that is, the area of the whole backyard, except for the deck)?
Answer:
234
Step-by-step explanation:
£6846 is shared equally between 7 people. How much does each person get?
Answer: Each person gets £978
Step-by-step explanation: £6846 divided by 7 is £978
need help fast! 100 POINTS
Answer:
100 points ??? I see 5 points :]
What is the area of the base of the cone below? A cone with height 12 feet and volume 90 feet cubed. 2.5 feet squared 4 feet squared 22.5 feet squared 26 feet squared
Answer:
its C or 22.5
Step-by-step explanation:
Im doing the test right now
Answer:
22.5
Step-by-step explanation:
A shipping box in the shape of a rectangular prism has a volume of 15,000
cm3. The length of the box is 20 cm, and the width is 25 cm. What is the
height of the box?
A. 15 cm
B. 30 cm
C. 37.5 cm
D. 24 cm
Answer:
Option (B) 30cm.Step-by-Step explanation:
Given:
Volume of Rectangular Prism is 15,000cm³.
Length (l) ➠ 20 cm Width (w) ➠ 25 cmWe know that,
★ Volume of Rectangular Prism = whl ★
Let "h" be the height.
➛ 25 × h × 20 = 15,000
➛ h × 20 × 25 = 15,000
➛ h × 500 = 15,000
➛ h = 15,000 ÷ 500
➛ h = 30
Thus, height of the box is 30 cm.
A construction company needs to remove 10 tons of dirt from a construction site. They can remove 2/5 tons of dirt each hour. How long will take to remove the dirt?
Step-by-step explanation:
You can just divide 10 by 2/5 and you get 25 or try this
Set up proportions and cross multiply 2/5 / 1 = 10/x which you can read as : if 2/5 can be done in 1 hour then 10 tons can be done in x hours cross multiplying, you get 2x/5 = 10 and x = 25
What is the slope of a line through (-3, 4) and
(5, 6)?
Answer:
slope= x2- x1/y2 -y1
= 5-(-3)/6-4
8/2= 4
What are the values of mode and median in the following set of numbers? 1,3,3,6,6,5,4,3,1,1,2 Mode: 1, 2, Median: 2 Mode: 1,3, Median: 3 Mode: 2,3, Median: 2 Mode: 1,3, Median: 2.5
[tex]1 \: 3 \: 3 \: 6 \: 6 \: 5 \: 4 \: 3 \: 1 \: 1 \: 2[/tex]
to find:the mode and median of the given numbers set.
solution:mode:the most frequently occurred number.
[tex]mode = 1 \: and \: 3[/tex]
median:first arrange all the numbers in either decending or ascending order, then find the number in the middle.
[tex]1 \: 1 \: 1 \: 2 \: 3 \: 3 \: 3 \: 4 \: 5 \: 6 \: 6[/tex]
[tex]median = 3[/tex]
hence, the median of the following data set is 3 and the mode is 1 and 3
Heeeeelp please
An arithmetic series has ay = 3 and d= - 3. Find S20-
The first term is 3 and the common difference is negative 3. Then the sum of the first 20 terms will be negative 510.
What is a series?A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.
The first term (a₁) = 3 and the common difference (d) = -3. Then the sum of the first 20 terms will be
Sₓ = (x/2) [2a₁ + (x - 1)d]
Then we have
S₂₀ = (20/2) [2 × 3 + (20 - 1)-3]
S₂₀ = 10 [6 + (19)(-3)]
S₂₀ = 10 [6 - 57]
S₂₀ = 10 [51]
S₂₀ = -510
More about the series link is given below.
https://brainly.com/question/10813422
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Write an exponential function in the form y=ab^x that goes through points (0,14) and (3,4802).
[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=3\\ y=4802 \end{cases}\implies 4802~~ = ~~14b^3\implies \cfrac{4802}{14}=b^3 \\\\\\ 343=b^3\implies \sqrt[3]{343}=b\implies 7=b~\hfill \underline{y=14(7)^x}[/tex]
Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?
Answer:
5 lbs cereal squares.
25 Ibs nuts.
Step-by-step explanation:
Let x be the weight of nuts in pounds and y be the weight of cereal squares in pounds.
Total weight of the party mix is 30 pounds.
[tex]x+y=30[/tex] ..... (1)
It is given that,
Cost of nuts = $7 per pound
Cost of cereal = $4 per pound
The cost of mix = $6.50 per pound.
[tex]7x+4y=6.50*30[/tex]
[tex]7x+4y=195[/tex] ..... (2)
Substitute the value of x in equation (2) from equation (1).
[tex]7(30-y)+4y=195[/tex]
[tex]210-7y+4y=195[/tex]
[tex]-3y=195-210[/tex]
[tex]-3y=-15[/tex]
Divide both sides by -3.
[tex]y=5[/tex]
Substitute y=5 in equation (1).
[tex]x+5=30[/tex]
Subtract both sides by 5.
[tex]x=30-5[/tex]
[tex]x=25[/tex]
Therefore, he use 25 lbs of nuts and 5 lbs cereal squares for party mix.
PLEASE HELP ILL GIVE BRAINLIESTTTTTT
Step-by-step explanation:
Explaination: So first of all um what I am going to do is I need to find the area of this semicircle. So the area of the semicircle, I'm going to use pi times the radius squared and then divided by two. So I'm using the formula of the area of a circle and then I'm dividing it by two because it's half of a circle. And then I'm going to add that to the area of a triangle which is base times height divided by two.
Hope it helps you
Use the three functions shown. 1. f(x)=x² II. f(x)=√x III. f(x) = ln x For which of the functions, if any, is a trapezoidal approximation for the area under the curve y = f(x) over the interval [1, 4] with 3 equal subintervals less than the midpoint approximation? none of the functions O I only II and III only all of the functions
II and III only
We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :
[1, 2], [2, 3], [3, 4]
The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be
1 • (f(L) + f(R))/2
or by a rectangle with height f((L + R)/2) and hence area
1 • f((L + R)/2)
For f(x) = x², the area under f(x) over [1, 4] is approximated by
• using trapezoids (T) :
[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4[/tex]
• using midpoints (M) :
[tex]\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4[/tex]
so T > M. (This eliminates "I only" and "all of the functions".)
For f(x) = √x, the area is approximated by
• T :
[tex]\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646[/tex]
• M :
[tex]\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677[/tex]
so T < M. (This eliminates "none of the functions".)