Answer
Option B is the only correct answer.
The possible dimensions of cone B is Radius = 4, Height = 9
Explanation
The volume of a cone is given as
Volume of a cone = ⅓ (πr²h)
where
π = pi
r = radius of the cone
h = height of the cone
So, for each of these answer options, we will check the volume of the corresponding cone to see which one will give the volume of the cones in the question; 48π cubic units
Option A
Radius = 2 and height = 12
Volume of a cone = ⅓ (πr²h)
r = 2
h = 12
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (2²) (12) = (48π/3) = 16π
This is not the answer because 16π ≠ 48π
Option B
Radius = 4 and height = 9
Volume of a cone = ⅓ (πr²h)
r = 4
h = 9
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (4²) (9) = (144π/3) = 48π
This is an answer because 48π = 48π
Option C
Radius = 3 and height = 4
Volume of a cone = ⅓ (πr²h)
r = 3
h = 4
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (3²) (4) = (36π/3) = 12π
This is not the answer because 12π ≠ 48π
Option D
Radius = 4 and height = 6
Volume of a cone = ⅓ (πr²h)
r = 4
h = 6
Volume of a cone = ⅓ (πr²h)
Volume of a cone = ⅓ (π) (4²) (6) = (96π/3) = 32π
This is not the answer because 32π ≠ 48π
Hope this Helps!!!
Will give the brainiest!
Answer:
With speed of 18 feet per second the distance between the twins change.
Step-by-step explanation:
v1 is 10
v2 is -8
So, the difference is (10)-(-8)
which is 18.
Answer:
The distance of 2 feet with a speed of 10 feet per second.
Which point is a solution of the linear system of inequalities? (-1, 7) (4, -2) (8, 2) (1, 7)
The possible solution to the system is (b) (4, -2)
How to determine the possible solution to the system?The graph missing in complete question is added as an attachment
Next, we use the graph of the system of inequalities to determine a possible solution
In this case, the point of intersection of the inequalities and any point in the shaded region represent the solution to the system
From the attached graph, the point (4, -2) falls in the shaded region
Hence, a possible solution is (b) (4, -2)
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Can you help me please
From the figure given above, angel < ABE = 40°
Calculation of unknown angleThe angle of a straight line = 180°
That is angle <ABC = 180°
If <EBC is = 140°
Therefore, <ABE = 180 - 140
= 40°
Therefore, from the figure given above, angel < ABE = 40°
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(Diversifying Portfolios MC)
worth points)
Name of Stock Symbol High Low Close
Stock A
105.19 103.25 103.38
Stock B
145.18 143.28 144.05
A
B
Last year, an investor purchase
difference in overall loss or ga
O The difference in overall gain is $207.00.
O The difference in overall loss is $207.00.
O The difference in overall loss is $200.70.
O The difference in overall gain is $200.70.
shares of stock A at $90 per share and 75 shares of stock B at $145 per share. What is the
ween selling at the current day's high price or low price?
The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.
To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.
Stock A:
High price = $105.19
Low price = $103.25
Close price = $103.38
Stock B:
High price = $145.18
Low price = $143.28
Close price = $144.05
The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.
To calculate the selling prices, we need to multiply the number of shares by the respective selling price.
Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50
Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50
Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50
Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00
Now, let's calculate the difference in overall gain or loss:
Difference in overall gain = Selling price at the high price - Selling price at the low price
= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)
= $16,148.00 - $15,908.50
= $239.50
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What is the simplest form of the expression below? f^2 - 25 f______ x ___ 5 f - 5
Step 1
we need operate.
remerber
\((a^2-b^2)=(a+b)(a-b)\)Now, do the operation
\(\begin{gathered} \text{ }\frac{f^2-25}{5}\cdot\frac{f}{f-5} \\ \text{ }\frac{f^2-25}{5}\cdot\frac{f}{f-5}=\frac{(f^2-25)\cdot f}{5(f-5)} \\ =\frac{f^3-25f}{5(f-5)}=\frac{f(f^2-25)}{5(f-5)}=\frac{f(f+5)(f-5)}{5(f-5)}=\frac{f(f+5)}{5}=\frac{f^2+5f}{5} \\ \end{gathered}\)so, the answer is B)
\(B)\frac{f^2+5f}{5}\)I really hope this helps you
Johnny had 600 red apples and 400 blue oranges, then his friend gave him 20 red bananas. He eats all of the bananas, throws away 200 of the blue oranges because he couldn't finish them all, and he fed 100 of the red oranges to his pet rock. How many pumpkin pies does he have now?
Answer choices:
8,000,000
No, he has 6000 bananas
I think he just ordered some offline
He has 300 red apples
Answer:
4 im not sure
Step-by-step explanation:
50 points, Help pls…the vertices of parallelogram ABCD are A(-1, 6), B(5,6), C(3, -2) and D(-3, -2). The diagonals of parallelogram ABCD intersect at point P. What are the coordinates of P
Answer:
P(1, 2)Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
It means their intersection is the midpoint of both diagonals.
Use midpoint formula to find the coordinates of P. Take AC or BD as diagonal.
We use the coordinates of A and C as endpoints:
x = (-1 + 3)/2 = 2/2 = 1y = (6 - 2)/2 = 4/2 = 2Answer: p= (1,2)
Step-by-step explanation:
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
A rectangular prism is filled with 16 cubes. Each cube is a 1/2 inch cube. What is the volume of the rectangular prism?
The volume of this rectangular prism is equal to: B. 8 in³.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.Since this rectangular prism is filled with 16 cubes and each cube is a 1/2 inch cube, the dimensions of the rectangular prism is given by;
Dimensions = 16 × (1/2)³ = 2inches.
By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;
Volume of rectangular prism = 2 × 2 × 2
Volume of rectangular prism = 8 cubic inches.
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Complete Question:
A rectangular prism is filled with 16 cubes. Each cube is a 1/2 inch cube. What is the volume of the rectangular prism?
A. 2 in³
B. 8 in³
C. 16 in³
D. 32 in³
Find the y intercept of the line on the graph
Answer: y = -1
Step-by-step explanation:
When x = 0, y = -1
Also, you can think about it as when the graph of the line passes the y axis
Given =(5,-2, 3) and >= (1, 1, 2) find an ordered triple that represents 3u - 2v.
The ordered triple representing \(3u - 2v\) is \((13, -8, 5)\).
To find an ordered triple representing \(3u - 2v\),
where \(u = (5, -2, 3)\) and \(v = (1, 1, 2)\),
we can perform the following operations:
\(3u = 3(5, -2, 3)\)
\(3u = (15, -6, 9)\)
\(2v = 2(1, 1, 2)\)
\(2v = (2, 2, 4)\)
Now, subtracting 2v from 3u gives:
\(3u - 2v = (15, -6, 9) - (2, 2, 4)\)
\(3u - 2v = (15-2, -6-2, 9-4)\)
\(3u - 2v = (13, -8, 5)\)
Therefore, the ordered triple representing 3u - 2v is (13, -8, 5).
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17X8=56, so 7 and 8 are
of 56
Answer:
i think you mean percentage or fraction so
7 is 1/8 of 56
and
8 is 1/7 of 56
Step-by-step explanation:
help please!! m=5 and n=2. 2m-5n!
Step-by-step explanation:
so, what's the problem ?
it's all there, we only need to take the calculator (or simply our heads) and do the calculation :
2×5 - 5×2 = 10 - 10 = 0
you see ? that was all that was needed.
put the given values for the variables into the places of these variables, and then calculate !
that is what variables are for : placeholders for actual values.
The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)
The distance between New York City and Chicago is about 719 miles. The distance between New York City and Los Angeles is about 2462 miles. To the nearest tenth, about how many times as great is the distance from New York City to Los Angeles as the distance from New York City to Chicago?
A. 3181
B. 1743
C. 3.4
D. 3.0
Answer:
C. 3.4
Step-by-step explanation:
You must do 2462 divided by 719 to know how many times (key word: times, multiplication) greater is the distance.
So, the answer is C.
Hope this helped!! I'm not great at this type of math lol
<3
11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?
Answer:
Step-by-step explanation: 462 Divided by 24 = 19.25$
Proof: 19.25 x 24 = 462
Answer: 19.25$
Nicks lunch cost $14.75 tax was 1.03 and he left a tip of 2.50 how much did he pay for his lunch
Answer:
$18.28
Step-by-step explanation:
To complete this problem is a straightforward answer:
First, you add 14.75 + 1.03 which equals $15.78 then, you'll want to add 2.50 to 15.78 and there you have your answer!!
Find the distance from the point (5, 5, 2) to the line
x=0, y= 5+3t , z=2+t
The distance from the point to the parametric line is given as follows:
5 units.
How to obtain the distance between the point and the parametric line?The first step is obtaining the vector from the line L(0, 5 + 3t, 2 + t) to the point P(5,5,2), as follows:
P - L = (5, -3t, -t).
The direction vector of the line is given as follows:
(0, 3, 1).
The dot product of the vector with the direction of the line is of zero, hence:
(5, -3t, -t)(0, 3, 1) = 0
-9t - t = 0
-10t = 0
t = 0.
Thus the point on the line which we will use to obtain the distance is of:
(0, 5 + 3(0), 2 + 0) = (0,5,2).
The the distance is obtained applying the formula for the distance between two points as follows:
Distance = square root [(5 - 0)² + (5 - 5)² + (2-2)²] = 5 units.
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Please help with this question
Answer:
this is the answer:
Step-by-step explanation:
Hope it helps:
Solve the rational equation for x and state all x values that are excluded from the solution set. If there is more than one excluded value then separate them with a comma and do not include any spaces. \frac{3}{x}-\frac{1}{3}=\frac{1}{6} Solving for x gives us x=AnswerThe value for x cannot equal Answer
We are given the following rational equation
\(\frac{3}{x}-\frac{1}{3}=\frac{1}{6}\)As you can see, the value of x cannot be equal to 0 because it will make the fraction undefined.
Now, let us solve the equation
\(\begin{gathered} \frac{3}{x}-\frac{1}{3}=\frac{1}{6} \\ \frac{3}{x}=\frac{1}{6}+\frac{1}{3} \\ \frac{3}{x}=\frac{1+2(1)}{6} \\ \frac{3}{x}=\frac{1+2}{6} \\ \frac{3}{x}=\frac{3}{6} \\ \frac{3}{x}=\frac{1}{2} \\ 3\cdot2=x\cdot1 \\ 6=x \\ x=6 \end{gathered}\)Therefore, the value of x is 6
The value for x cannot be equal to 0
Ciara was planting a garden that was going to be 7 meters by 2 meters. She wants to
put down pine straw around the garden. The shaded region represents the area for
the pine straw. Solve for the AREA of the SHADED REGION.
This will tell Ciara how much pine straw to purchase.
Using the formula for finding area of a rectangle we can get the area of the shaded region = 106 sq. meters.
What is area of a rectangle?The formula for calculating a rectangle's area can be used to determine how much space the rectangle takes up within its perimeter. The area of a rectangle is determined by multiplying its length by its width (breadth). The following formula can be used to get the area of a rectangle whose length and breadth are "l" and "w," respectively. L * W = the rectangle's area. Hence, the area of a rectangle is equal to length × width
Here, in the given figure, area of the small rectangle =
length × breadth
= 7 × 2
= 14 sq. meters
Now area of the shaded region =
12 × 10
=120 sq. meters.
Therefore, area of the shaded region = 120 - 14
= 106 sq. meters
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38 is 40% of what number?
URGENT
Answer:
15.2
Step-by-step explanation:
I multiplied 40% by 38, which equals 15.2.
Hope this helped, have a good day!
24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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LetVbe the vector space of continuous functions defined on the interval[0,1]. Define an inner product onVby the following rule:⟨f,g⟩=∫01f(x)g(x)dx.Use the Gram-Schmidt orthonormalization procedure to produce an orthonormal basis for the subspace spanned by1,x,x2. Use the results to find the closest-point projection ofx3into this subspace.
The closest projection will have a value of -29/360.
we will follow these steps to use the Gram-Schmidt orthonormalization procedure for producing an orthonormal basis for the subspace spanned by 1, x, and x²,
Set u₁ = 1, a unit vector.
Set v₂ = x and u₂ = v₂ / ||v₂||.
Set v₃ = x² - (x², u₁)u₁ - (x², u₂)u₂, and u₃ = v₃ / ||v₃||.
Thus we get the orthonormal basis for the subspace spanned by 1, x, and x² to be {u₁, u₂, u₃}.
Now we will use the formula for the projection of a vector onto a subspace to find the closest-point projection of x³ into this subspace,
proj_subspace(x³) = (x³, u₁)u₁ + (x³, u₂)u₂ + (x³, u₃)u₃
The inner products will be calculated as follows:
(x³, u₁) = ∫x³ X 1 dx = 1/4
(x³, u₂) = ∫ x³ X x dx = 1/5
(x³, u₃) = ∫ x³ * (x² - (x², u₁)u₁ - (x², u₂)u₂) dx
Here all the integrals will have limits of 0 and 1.
Hence we get
= 1/9 - 1/4 X 1/2 - 1/5 X 1/3
= 1/9 - 1/8 - 1/15
= (40 - 45 - 24)/360
= -29/360
Thus, the projection of x³ onto the subspace spanned by 1, x, and x² is:
proj_subspace(x³) = 1/4 X u₁ + 1/5 X u₂ + (1/9 - 1/4 X 1/2 - 1/5 X 1/3) X u₃
This projection is the closest point in the subspace to x³, in the sense that the distance between x³ and proj_subspace(x³) is minimized.
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Given parallelogram PQRS with P(-4,-2), Q(-2,3), R(4,3) and S(2,-2). Find the perimeter of PQRS.
Answer: it’s C
Step-by-step explanation:
The required perimeter of the parallelogram PQRS is 12 + 2√29. Option D is correct.
Given that,
parallelogram PQRS with P(-4,-2), Q(-2,3), R(4,3) and S(2,-2).
Perimeter is the measure of the figure on its circumference.
Here,
Length of PQ = √[(-2 + 4)² + (3+2)²]
= √[4 + 25]
= √29
Length of QR = √[(4+2)² + (3-3)²]
= √36
= 6
Now the perimeter of the parallelogram = 2 PQ + 2 QR
= 2√29 + 2 * 6
=12 + 2√29
Thus, the required perimeter of the parallelogram PQRS is 12 + 2√29. Option D is correct.
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Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
The equations to solve the length of the room is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
c) ( y + 25 ) ( y - 30 ) = 0
Given data ,
Let the area of a rectangular room is 750 square feet.
Let the width of the room is 5 feet less than the length of the room
So , on simplifying , we get
w = l - 5
Area of rectangle = length x width
And , A = l x w
A = l ( l - 5 )
750 = y ( y - 5 )
Therefore , the equation is
a) y² - 5y = 750
b) 750 - y ( y - 5 ) = 0
On simplifying the quadratic equation , we get
c) ( y + 25 ) ( y - 30 ) = 0
Hence , the length of the rectangular room is solved
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The complete question is attached below :
Which equations can be used to solve for y, the length of the room? Select three options.
a) y(y + 5) = 750
b) y² – 5y = 750
c) 750 – y(y – 5) = 0
d) y(y – 5) + 750 = 0
e) (y + 25)(y – 30) = 0
what is the value of the expression 4 to the power of 4? ___
Answer:
256
Step-by-step explanation:
multiply it 4time by itslef so its like
4 time 4 times 4 times 4
I think
The value of the expression 4 to the power of 4 is 256.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The expression will be solved as below:-
The given expression is 4⁴. The expression can be written as:-
4⁴ = 4 x 4 x 4 x 4
Multiply the value 4 four times to get the solution for the expression.
4⁴ = 16 x 16
4⁴ = 256
Therefore, the value of the expression 4 to the power of 4 is 256.
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The NCAA basketball tournament begins with 64 teams, and after each round, half the teams are eliminated. The number of remaining teams t n) is an exponential function of the number n of rounds already played . Write the exponential function that represent the number of players after n rounds . How many players will be there after 4 rounds?
Answer:
64 (1/2) n
ssssssssssssssssssssssssssssssssssssssssssssss