Answer:
The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Step-by-step explanation:
We have,
Diameter of a cone-shaped mound is 100 feet
Height of a cone-shaped mound is 60 feet
It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
r is radius of cone, r = 50 feet
So,
[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]
So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].
Which of the following best describes the English expression the product of
nine and a number minus five?
Answer:
9n-5
Step-by-step explanation:
Let n=the number:
9n-5
if f(x) = 3x-2 and g(x) =2x+1 fine (f-g)(x)
Answer:
=x -3
Step-by-step explanation:
f(x) = 3x-2
g(x) =2x+1
(f-g)(x) = 3x-2 -(2x+1)
Distribute the minus sign
= 3x-2 -2x-1
Combine like terms
=3x-2x-2-1
=x -3
A focus group is made up 12 males and 4 females. Half of the males have college degrees. A member is selected at random from the geoup. What is the probability that the member is a male with a college degree?
Answer:
3/8
Step-by-step explanation:
We first have to find the probability that the person selected is a male and then multiply that by the probability that the male has a college degree.
There are 12 males and 4 females. There are 16 people in total. The probability of selecting a male is:
12/16 = 3/4
Half of the males have a college degree. Therefore, 6 males have a college degree. The probability that a selected male has a college degree is:
6/12 = 1/2
Therefore, the probability that a male is selected and that the male has a college degree is:
3/4 * 1/2 = 3/8
What is the midpoint of the segment shown below?
Answer:
B
Step-by-step explanation:
3 is too high up to be in the middle of the line, so the y value must be [tex]\frac{3}{2}[/tex] and this eliminates C and D as possible answers. -7 is too far back on the y axis, so this eliminates A. We are left with B.
Debbie buys a tree for the holidays. She would like to determine the amount of space it will take up in her living room. The tree is cone shaped and has a radius of 2 feet. Find the volume of the tree if it is in the shape of a cone and its height is two times its radius. The radius of a cone whose height is is equal to two times its radius is given as: r equal to cube root of (3V/4π)
Answer:
Volume of Cone =
[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
[tex]V=\frac{1}{3}\pi r^2 h[/tex]
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
[tex]= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3[/tex]
Thus, Volume = 16.75 cubic feet
Mr. Green’s lawnmower holds 600milliliters of gasoline in the tank. He just filled his 6-liter gas can at the station. How many times will he be able to fill his lawnmower tank from the gas can
Answer: 10 times
Step-by-step explanation:
1 litre = 1000 ml
6 litres = 6000 ml
Lawnmover holds 600 ml
So 6000 ml will fill
6000/600 = 10 times
A school records the number of pupils that were late each month
Answer:
Colin is wrong
Explanation given below..
Hope it helps!
Step-by-step explanation:
No he's is not correct because the number of pages in January was 30 while the number of pages in March was 20. 20 is not half of 30 and hence it can be concluded that Colin is wrong. For the statement to be correct the number of lates in march should be 30/2 that is equal to 15.
What are the equations of the asymptotes for the function?
f(x)=−3x/−1 −1
vertical asymptote: x=
horizontal asymptote: y=
Answer:
Vertical asymptote x= 1
Horizontal asymptote y= -1
Step-by-step explanation:
Answer:
no asymptotes
Step-by-step explanation:
since y=-3x-1-1 is not a ratinal expression there are no asymptotes.
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
Step-by-step explanation:
Take you ruler and draw a horizontal line from point (0,-2)
When you do, the point where y = -2 is when x = - 3
Answer:
x = -3
Step-by-step explanation:
the question asks for what x the function = -2
if you imagine horizontal line passing through -2 then you cann see that it crosses graph when x = -3 and 0
Can someone please help me
Answer:
1) A.
2) C.
Step-by-step explanation:
1) 1 pint = 1/2 quarts
15 pints = 15 × 1/2 quarts
15 pints = 15/2 quarts
15 pints = 7 1/2 quarts
2) 1 quarts = 0.95 liters
4 quarts = 0.95 × 4 liters
4 quarts = 3.8 liters
The complex conjugates theorem states that
another factor of the polynomial is
Answer:
Step-by-step explanation:
...exactly the same but with a different sign separating them. For example, if a root of a polynomial is
3 + 4i, then the other root has to be 3 - 4i because they always come in pairs. Always!! If a root is -2 - 3i, then the other root has to be -2 + 3i. Notice that the only sign that will change is the one that separates the a part of the complex number from the b part.
This phenomenon also applies to radicals. If we have a root that is [tex]-3 + \sqrt{5}[/tex][tex]-3 +\sqrt{5}[/tex] then the other root has to be [tex]-3 -\sqrt{5}[/tex]
Answer:
x-3i
Step-by-step explanation:
The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?
It should be B children
Bye giggity giggity gamers! nyah :3
can someone tell me how to do area i forgot
Answer:
the answer is
length * width
or side * side
Step-by-step explanation:
Answer:
Below:
Hope this helps :DDD
Step-by-step explanation:
Area of rectangle / square / parallelogram: Base * height
Area of triangle: [tex]\frac{Base*height}{2}[/tex]
Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]
Area of trapezoid: [tex]\frac{Base1 + Base2}{2}*height[/tex]
Area of circle: [tex]\pi r^2[/tex]
Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]
-6(4 + 5v) - 3 = -57 solve for V
-6(4 + 5v) - 3 = -57
Use distributive properties
-24 -30V -3 = -57
Combine like terms
-27 -30v = -57
Add 27 to both sides
-30v = -30
Divide both sides by -30
V=1
Answer:
v = 1
Step-by-step explanation:
-6(4 + 5v) - 3 = -57
Add 3 to each side
-6(4 + 5v) - 3+3 = -57+3
-6(4 + 5v) = -54
Divide by -6 on each side
-6(4 + 5v) / -6 = -54/-6
4+5v = 9
Subtract 4 from each side
4+5v-4 = 9-4
5v = 5
Divide each side by 5
5v/5 = 5/5
v =1
3x^2 -5x -2=0
help factor left side please!!
y’all i didn’t sleep at all last night and i cannot remember how to factor the first half of the equation help me out asap please guys
Answer:
Step-by-step explanation:
1. Find two numbers that add to make the coefficient of x (in this case, -5) and that multiply to make the constant term multiplied by the coefficient of x^2 (in this case, -2 x 3 = -6)
Two numbers that work are -6 and +1
-6 x +1 = -6
-6 + -1 = -5
2. Split the middle term into the two numbers that you found.
3x^2 -6x +x -2 = 0
I've put the -6 on the left side because in our next step, when we factorise, it will be easier than having the numbers the other way around.
3. Factorise the left side by taking out common factors from each pair. The pairs I'm talking about here are '3x^2 and -6x', and 'x and -2'
3x (x-2) +1 (x-2) = 0
4. You now have two numbers both being multiplied by the term x-2. We can rearrange this equation to give us two brackets being multiplied by each other.
(3x + 1) (x-2) = 0
5. According to the Null Factor Law, if two terms are multiplied together and the result is 0, then one of those terms must be 0. Make both terms equal to 0 and solve each for x.
3x + 1 = 0 x-2 = 0
3x = -1 x = 2
x = -1/3
6. The solutions to this equation are x = 2 and x = -1/3
Answer:
Step-by-step explanation:
Start by separating (not factoring) -5x. For example, we might get {-2x, - 3x} (note how these combine to produce -5x). Might have to try several combinations to find the right one.
Then 3x^2 -5x -2=0 could possibly be x(3x - 2) - (3x - 2), or
x(3x - 2) - 1(3x - 2).
Notice how the factor (3x - 2) shows up twice. If we factor out (3x - 2) we are left with (x - 1). We check these results by multiplying (3x - 2) and (x - 1) together, so we can be sure that the result is the original 3x^2 -5x -2=0.
(3x - 2)(x - 1) = 3x^2 - 3x - 2x + 1 results in 3x^2 - 5x + 2. Unfortunately, the sign of that 2 is incorrect; we'd hoped for -2, not +2.
To check this further, I used synthetic division with 1 as divisor; the remainder is -4, which tells us that (x - 1) is not a factor of 3x^2 -5x -2=0.
Please double check to ensure that you have copied this problem down correctly.
What fraction is equivalent to 5%?
A: 50/100
B: 1/20
C: 5/10
D: 1/5
Answer:
1/20
Step-by-step explanation:
5%
Percent means out of 100
5/100
Divide top and bottom by 5
1/20
Answer:
HI THERE,THE ANSWER IS
B
Step-by-step explanation:
[tex]\frac{1}{20} \\[/tex] X 100%=5%
How do you make x the subject for (A) please?
Answer:
x = y / (4x+11)
Step-by-step explanation:
y = 4x^2 + 11x
4x^2 + 11x - y = 0
4x^2 + 11x = y
x(4x + 11) = y
x = y / (4x+11)
The table shows some information about the five great Lakes of North America
Answer:
add me on snap kingmadness7062
Step-by-step explanation:
Total surface area of all the lakes combined is 24.5×10¹⁰
What is the Total Surface Area?Total surface area refers to the area including the base(s) and the curved part. It is the total area covered by the surface of the object. If the shape has a curved surface and base, then the total area will be the sum of the two areas.
Given here; The surface area of the lakes and we are required to find The total surface area of all the lakes.
Thus we have TSA= (2.57 + 6.01+5.80+1.91+8.21)×10¹⁰
=24.5 ×10¹⁰
Hence, total surface area of all the lakes combined is 24.5×10¹⁰
Learn more about the Total surface area here:
https://brainly.com/question/15584129
#SPJ2
Officer Brimberry wrote 32 tickets for traffic violations last week, but only 12 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent.
Answer:
62.5 %
Step-by-step explanation:
Take the original amount and subtract the new amount
32-12 = 20
Divide by the original amount
20/32 =.625
Multiply by 100 to get to percent form
62.5 %
A rectangular prism has a length of 4 cm, a width of 6 cm, and a height of 3 cm. what is it’s volume
Answer:
72 cm³
Step-by-step explanation:
The formula for the volume of a rectangular prism is:
V = lwh
where l is the length, w is the width, and h is the height
Let's substitute the given values into this formula:
V = lwh
V = (4)(6)(3)
Solve:
V = (4)(6)(3)
V = (24)(3)
V = 72
Therefore, the volume is 72 cubic centimeters.
Answer:
The answer is 72 cm3
Step-by-step explanation:
4 times 6 times 3
24 times 3
72
;))))))
Albert is a server at an all-you-can-eat sushi restaurant. At one table, the customers ordered 4 child buffets and 1 adult buffet, which cost a total of $86. At another table, the customers ordered 4 child buffets and 3 adult buffets, paying a total of $130. How much does the buffet cost for each child and adult?
Answer:
The buffet cost $16 for adults and $22 for kids
On a separate sheet of paper, graph 3x+6y=18 In the box below, enter the y value when x = 2.
Answer:
y=2 when x=2
Step-by-step explanation:
3(2)=6
6+6y=18
6y=18-6
6y = 12
6y/6 = 12/6
y=2
Answer:
y=2 when x=2
Step-by-step explanation:
Did it on edge
Y’ALL MIND TO HELP ME I HATE SCHOOL SO MUCH THAT IT MAKES ME WANT TO STAB MYSELF WITH A FORK BECAUSE I DONT UNDERSTAND ANYTHING IN THIS. anyway can y’all help me wit this ? I would appreciate it
Answer: Are you in summer school pfft
Step-by-step explanation: I won’t help you cheat
If a number is increased by 12 and then divided by 4, the result is 5. The algebraic equation is ?. The number is x= ?
Answer:
I don't have an answer but I have a helpful example.
If a number is increased by 8, the result is 25 Find the number.
Step-by-step explanation:
Let x be the number. Increasing x by 8 gives x + 8, which we are told is 25. Therefore, x + 8 = 25. Subtract 8 from both sides to find x = 17. So, the number is 17.
Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players from the same distributor each month. Because CD World buys 35 more units than the other two stores combined, CD World's cost is only $160 per unit. The players cost Hi-Fi $165 each and Ace $170 each. How many players does each retailer buy each month if the distributor receives $31,750 each month from the sale of the players to the three stores?
Answer:
Ace Electronics buys 30, Hi-Fi Stereo buys 50, and CD World buys 115
Step-by-step explanation:
Let x represent the number of items Ace Electronics buys
Let y represent the number of items Hi-Fi Stereo buys
Let z represent the number of items CD World buys
Since Ace Electronics, Hi-Fi Stereo, and CD World buy a total of 195 DVD players:
x + y + z = 195 (1)
Since CD World buys 35 more units than the other two stores combined:
z = x + y + 35 (2)
If you substitute z in equation 1 from equation 2:
x + y + (x + y + 35) = 195
2(x + y) = 195- 35
x + y = 80 (3)
Since z = x + y + 35:
z = 80 + 35
z = 115
Since CD World's cost is $160 per unit, Hi-Fi 's cost is $165 per unit and Ace Electronics's cost is $170 per unit and the total payment received is $31,750
170x + 165y + 160z = 31750 (Substitute x from equation 3 and z as 115)
170(80-y) + 165y + 160(115) = 31750
13600 - 170y + 165y + 18400 = 31750
32000 - 5y = 31750
5y = 250
y = 50
Since x + y = 80:
x + 50 = 80
x = 30
(Brainliest will be given) Determine which of the following descriptions is accurate.
Answer:
B the size of the circle is a function of the height of the rectangle
Step-by-step explanation:
Please tell me if it is right and give me thanks and brainleist only if right
Which expession is equivalent to 4-(-7)
Answer:
4 + 7 = 11
Step-by-step explanation:
Subtracting a negative means adding.
To subtract a number, add its opposite. The opposite of -7 is 7, so to subtract -7, add 7.
4 - (-7) = 4 + 7 = 11
Answer:
4+7
Step-by-step explanation:
(check the pic) please help asp!! 37 points for this and if you answer this fully I will make you brainilest!
Answer:
See explanation
Step-by-step explanation:
During September, they ran half a mile once, 1 mile twice, 1.5 miles 4 times, and 1.75 miles once. This is a total of 8 runs below 2 miles in length. Meanwhile, they ran 2 miles twice, 2.5 miles twice, 2.75 miles 4 times, and 3 miles 5 times, a total of 13 runs over 2 miles. Therefore, Michelle is correct. Hope this helps!
What is the next term in the following set of numbers: {1,3,7,15,31,...? a. 63 b. 47 c. 39 d. 35 e. Other:
Answer:
[tex]63[/tex]
Step-by-step explanation:
[tex]1 + 2^1 = 3\\3 + 2^2 = 7\\7 + 2^3 = 15\\15 + 2^4 = 31\\31 + 2^5 = 63[/tex]
How do I solve this ?
Answer:
Base is 5/6
Step-by-step explanation:
We calculate the area of a triangle by multiplying height to the base and that divided by two
Let's call the base X
5/36 cm^2 = 1/3 × X ÷ 2 multiply both sides of the equation by 2
2 × 5/36 = 1/3 × X ÷ 2 × 2
5/18 = X/3 now divide both sides by 3
5/18 ÷ 3 = X/3 ÷ 3
X = 5/6