The cylinder holds 3 times more water than the cone
volume of the cylinder is (pi) (r^2) (height), volume of the cone is (1/3)(pi)(r^2)(height)
Cone is 1/3 of cylinder volume so cylinder holds 3 times the amount
Cylinder holds 942 cu units, cone holds 314,
Answer cylinder holds 628 cu units more than cone
cyl= 3.14 x 5^2 x 12=942
Cone= 1/3 x 3.14 x 5^2 x 12 = 314
PLEASe help 30POINTS
What is the length of segment AB ?
Answer:
[tex]\sqrt{74}[/tex]
Step-by-step explanation:
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{let}\:(x_1,y_1)=(2,-6)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(7,1)[/tex]
[tex]d=\textsf{length of segment AB}[/tex]
Substituting points into the distance formula and solving for d:
[tex]\implies d=\sqrt{(7-2)^2+(1-(-6))^2}[/tex]
[tex]\implies d=\sqrt{5^2+7^2}[/tex]
[tex]\implies d=\sqrt{25+49}[/tex]
[tex]\implies d=\sqrt{74}[/tex]
================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad\qquad \qquad \huge \bold{\sqrt{74} }[/tex]
================================
[tex] \large \sf \underline{Solution:}[/tex]
Solving;
[tex] \sf{D=\sqrt{(7-2)^2+(1-(-6))^2}}[/tex][tex] \sf{D=\sqrt{5^2+7^2}}[/tex][tex] \sf{D=\sqrt{25+49}}[/tex][tex] \sf \underline {\pmb{D=\sqrt{74}}}[/tex]Hence, the length of segment AB is √74.
================================
A teacher gave her class two quizzes. 25% of the class passed both quizzes and 40% of the class passed the first quiz. What percent will pass the second quiz given they passed the first quiz?
Answer:
35%
Step-by-step explanation:
40% + 25% = 65% minus that bye 100 you would get 35% the reason the answer isn't 65 is because add 40+25+65=130 which a whole is equal to 100 but if you do 40+25+35= 100 so thr answer is 35% :)
Lorena paid $450 for a sneaker and there is a 9% advertised discount. What is the discount price?
Answer:
$40.50
Step-by-step explanation:
9% of 450 is 40.5
suppose y = sin x
what y-value corresponds to an x-value of 3pi/2
Answer: THE ANSWER ON ACELLUS IS -1
Step-by-step explanation:
I found this answer on a site used to do sin cos and tangent
The y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]
To find the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \),[/tex] simply substitute [tex]\( x = \frac{3\pi}{2} \)[/tex] into the function:
[tex]\( y = \sin\left(\frac{3\pi}{2}\right) \)[/tex]
Now, let's evaluate the sine function at [tex]\( \frac{3\pi}{2} \):[/tex]
[tex]\( y = \sin\left(\frac{3\pi}{2}\right) = -1 \)[/tex]
So, the y-value corresponding to an x-value of [tex]\( \frac{3\pi}{2} \)[/tex] in the function [tex]\( y = \sin(x) \) is \( y = -1 \).[/tex]
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help this is confusing
Answer:
Green: (2/11) * (1/10)
Yellow: (2/5) * (1/3)
Purple: (3/10) * (6/19)
Blue: (1/4) * (13/51)
Step-by-step explanation:
Green:
>> Maria has 11 letters in her bag, and 2 of them are B's.
>> At first, the chance of drawing a B is 2 out of 11: 2/11.
>> Let's assume that everything goes according to plan, and she actually draws a B.
>> Then she has 10 letters, and only one of them is B (she already has the other one).
>> That means that the chance of drawing that B is 1 out of 10: 1/10.
>> Thus, (2/11)*(1/10).
Yellow:
>> There are 11 + 13 + 16 = 40 items in the closet.
>> The probability of selecting a prop is 16/40 = 2/5 (there are 16 props and 40 items).
>> That means that there are 40-1=39 items left.
>> Therefore, the probability of selecting a costume is 13/39 = 1/3 (as there are 13 costumes and 39 items).
>> The answer is (2/5) * (1/3).
Purple:
>> There are 6+8+6=20 jellybeans.
>> At first, Hannah grabs an orange candy (there are 6 of them): 6/20 = 3/10.
>> Then there are 19 candies left.
>> Then she grabs a pink one (there are 6 of them): 6/19.
>> The answer is (3/10)*(6/19).
Blue:
>> There are 52 cards in a standard deck, 13 clubs, 13 spades, 13 hearts, 13 diamonds.
>> The 1st is a spade: 13/52 = 1/4.
>> There are 51 cards left.
>> The 2nd is a club: 13/51.
>> (1/4)*(13/51).
The following figure shows a right triangular prism. (help pls :( )
Which expression represents the surface area of the prism?
Choose 1 answer:
Answer: b
Step-by-step explanation:
The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.
Here a triangular prism has been provided with some measurements.
We have to find Which expression can be used to find the surface area of the following triangular prism.
What is the formula to find the total surface area triangular prism?The formula for the surface area of a triangular prism is formed by adding up the area of all the rectangular and triangular faces of a prism. Observe the following figure of a triangular prism to know the dimensions that are considered to frame the formula.
Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 +S2 + S3)L + bh
Here, S1, S2 and S3 are sides of triangles, l=length of the prism, b=base and h=height.
Now, (6+8+10)20+8×6=120+160+200+48
=2.24+120+160+200
The expression represents the surface area of the prism is 2.24+120+160+200. Therefore, option B is the correct answer.
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Adriano loves anime and collect toys from his fav series. Each month he gains 4 toys. If Adriano has 3 toys when he start collecting, how many dose he have in 4 months.
Answer:
19 toys
Step-by-step explanation:
Need Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.
Part B: Check your work. Verify your solution and show your work.
Part C: If the two equations are graphed, what does your solution mean?
Answer:
Part A
Solve by substitution.
Given equations:
y = 2x − 5y = -6x + 3⇒ 2x - 5 = -6x + 3
⇒ 2x - 5 + 5 = -6x + 3 + 5
⇒ 2x = -6x + 8
⇒ 2x + 6x = -6x + 8 + 6x
⇒ 8x = 8
⇒ 8x ÷ 8 = 8 ÷ 8
⇒ x = 1
To find y, substitute the found value of x into one of the equations:
⇒ y = 2(1) - 5
⇒ y = 2 - 5
⇒ y = -3
Therefore, the solution is (1, -3)
Part B
Substituting x = 1 into the equations:
y = 2x − 5
⇒ y = 2(1) − 5
⇒ y = 2 − 5
⇒ y = -3
y = -6x + 3
⇒ y = -6(1) + 3
⇒ y = -6 + 3
⇒ y = -3
When x = 1, both equations return a y-value of -3. Therefore, the solution is verified.
Part C
If the two equations are graphed, the solution will be the point of intersection.
Answer the question below please (file attached) 50 POINTS
Answer:
They bought 6 vanilla wafers and 21 chocolate, they add up to 27.
x = amount of vanilla wafers
y = amount of chocolate wafers.
4x+y = 45
x+y= 27
Step-by-step explanation:
x = amount of vanilla wafers
y = amount of chocolate wafers
Vanilla wafers = 4$ each
Chocolate wafers = 1$ each.
So, 4x+y = 45 and x+y= 27 because they spent 47$ on 27 packs.
With both equations we can substitute.
1. Change one equation so one variable is on one side
x+y = 27 to y = 27-x
2. Substitute the variable from the other equation.
4x+y = 45 to 4x+27-x = 45
3. Solve the equation for x.
4x+27-x = 45
3x+27 = 45
3x = 18
x = 6 (amount of vanilla wafers)
4. substitute with equation.
y = 27-x to y = 27-6
5. Solve the equation for y.
y = 27-6
y = 21 (amount of chocolate wafers)
Which expression is equivalent to -36-8
There are 6 blue chips for every 4 green chips. How many green chips will there be with 15 blue chips?
Answer:
6
Step-by-step explanation:
Its simple,
first you find the multiplier, to do this you do:
6/4 which is 2.5
then we do 15 / 2.5
which is 6
PLEASE HELP FAST WILL GIVE BRAINLY
write an equation in point-slope form for the given point and slope:
point: (-7,5)
slope :3
Answer:
I believe it is y-5=3(x+7)
Step-by-step explanation:
Point Slope form = y-y1=m(x-x1)
The reason that in the problem above it's x+7 is because 7 is a negative number, so we would do the opposite of subtraction, which is addition.
(a) If the monthly water usage is 18 HCF, which plan costs more?
O Residential Plan
O Business Plan
How much more does it cost than the other plan?
$0
(b) For what amount of monthly water usage do the plans cost the same?
If the monthly water usage is more than this amount, which plan costs more?
Residential Plan
Business Plan
Answer: A THE ANSWER IS A so this is the calculation of it means of that I say A
Step-by-step explanation:
Ask an expert 2+3/10X>=13/20 Solve for inequality Thanks!
Answer:
The answer is in the picture.
Step-by-step explanation:
[tex]2+\frac{3}{10x}\geq\frac{13}{20} \\\\\frac{3}{10x}\geq\frac{13}{20} -2 \\\\\frac{3}{10x}\geq\frac{13}{20} -\frac{40}{20} \\\\\frac{3}{10x}\geq-\frac{27}{20} \\\\3\geq-\frac{27}{20}*10 x \\\\3\geq-\frac{270}{20} x\\\\3\geq-\frac{27}{2} x \\\\3*-\frac{2}{27} \leq x\\\\-\frac{6}{27} \leq x\\\\-\frac{2}{9} \leq x[/tex]
Also x cannot equal to 0 if you plug in into the original equation the answer is indefinite/not solution.
Vito has a fair 20-sided die with the faces
numbered 1 through 20. Vito will roll the die
100 times. About how many times will he
likely roll a 1, 4, or 5?
A 10
B 25
C 15
D 50
Answer:
15, C
Step-by-step explanation:
Any number is equally likely to appear. Therefore, we have 3/20 * 100 = 15. This is C.
Hope this helped!
~clouddragon
What is the quotient when (x+3) is divided into the polynomial 2x2 + 3x-9?
O A. 2x-5 with no remainder
B. X+ 3 with a remainder of -2
O c. 2x+ 1 with no remainder
D. 2x-3 with no remainder
Problem: 2x^2+3x-9
For a polynomial of the form, ax^2+bx+c rewrite the middle term as the sum of two terms whose product a·c=2·-9=-18 and whose sum is b=3.
Factor 3 out of 3x
2x^2+3(x)-9
Rewrite 3 as -3 plus 6.
2x^2+(-3+6)x-9
Apply the distributive property
2x^2(-3x+6x)-9
Remove the parentheses
2x^2-3x+6x-9
Factor out the greatest common factor from each group
Group the first two terms and the last two terms
(2x^2-3x) (6x-9)
Factor out the greatest common factor in each group.
x(2x-3)+3(2x-3)
Factor the polynomial by factoring out the greatest common factor, 2x-3
(x+3) (2x-3). So, the quotient is 2x-3
Thus, the correct answer is Option D 2x-3 with no remainder
Write the equation of the graph shown below in factored form?
Answer:
f(x) = (x − 1)2(x + 1)(x − 3)
Step-by-step explanation:
Look at where the red line crosses/ touches the x-axis. This will give you the zeros.
It crosses at -1, touches at 1, and crosses again at 3
This means the zeros are -1, 1 and 3
Now, you need to have (x+1) (x-3) and (x-1) as factors.
Therefore, the answer is f(x) = (x − 1)2(x + 1)(x − 3).
simplify 15a^z * 4c * 5ab
[tex]300a {}^{z + 1} bc[/tex]
A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≥ 30, 6x + 4y ≥ 120
C. 2x + 3y ≤ 30, 6x + 4y ≤ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120
The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A woodworking artist makes two types of carvings: type X and type Y.
He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.
His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.
If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.
Then the linear systems of inequalities models this situation will be
2x + 3y ≥ 30 and 6x + 4y ≤ 120
Thus, the correct option is A.
More about the linear system link is given below.
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15
67°
X
Find the missing side in the following and round to nearest tenth
Because this is a right triangle, we can use a trigonometric function to solve for the missing side.
Remember: SOH-CAH-TOA
We are given an angle, as well as the adjacent side and hypotenuse. Therefore, we should use the cosine function to solve for x.
cos(67) = x / 15
x = cos(67) * 15
x = 5.9
Answer: 5.9
Hope this helps!
help will mark Brainliest!!
Answer:
8/9n - 3
Step-by-step explanation:
Money needed to raise $1000, sell a dozen of cookies for $3 a dozen. how many dozen of cookies need to be sold to raise $1000?
Answer:
334 dozen cookies.
Step-by-step explanation:
1000=3x
Let x = dozen of cookies sold
3x=1000
x=1000/3
x=333.33
Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.
84,326 dividido para 23
x/7 ≥ -6 please help me solve for x
Answer:
x ≥ -42
Step-by-step explanation:
[tex]\frac{x}{7} > =-6[/tex]
[tex]\frac{x}{7}\cdot 7 > =-6\cdot 7[/tex]
[tex]\frac{1}{7}\cdot 7x > =-6\cdot 7[/tex]
[tex]x > =-6\cdot 7[/tex]
[tex]x > =-42[/tex]
Shortcut
• Multiply positive 7 by negative 6 to find x as a shortcut.
What is the difference in the costs for a one-night stay with and without breakfast?
Answer:
$23.12
Step-by-step explanation:
With breakfast included the total would be $142.99. Without breakfast it would be $119.87. So to get the difference it would be:
$142.99 - $119.87 = $23.12
(x+3)^2+4=46
what is the solution of this equation
Answer:
x = -3 + √42
Step-by-step explanation:
1) Expand the square
2) Distribute
3) Distribute
4) Distribute
5) Combine like terms
6) Add the numbers
7) Move terms to the left side
8) Subtract the numbers
9) Use the quadratic formula
10) Simplify
11) Separate the equations
12) Solve
Therefore, the solution of this equation is x = -3 + √42
Step-by-step explanation:
(x + 3)² + 4 = 46
(x + 3)² = 42
x + 3 = ±sqrt(42)
x = ±sqrt(42) - 3
x1 = sqrt(42) - 3 = 3.480740698...
x2 = -sqrt(42) - 3 = -9.480740698...
What is the v-intercent of the line given by the equation below?
Helpp
let f(x) = 3x² what is f(-2x)
answer : 12x²
steps
means put -2x where x is
let f(x) = 3x² what i f(-2x)
3(-2x)²
pemdas
-2x times -2x
4x²
3 times 4x²
12x²
Hello, can I please get some help :))
Answer:
add the seven to one and divide by three then subtract two
Jocelyn is comparing the prices of wedding cakes. Store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge. If Jocelyn wants a cake with 150 servings, how much more money will it cost to purchase the cake from Store B?
The Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the total cost is $x if Jocelyn purchase cake from store A:
x = 1.50×150 + 25
x = 225+25 = $250
Let's suppose the total cost is $y if Jocelyn purchase cake from store B:
y = 2.25×150
y = $337.5
Difference between total cost = 337.5 – 250 = $87.5
Thus, the Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.
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