A pyramid is a solid shape with a specified shaped base. The required answer is 8.67 cubic feet.
A pyramid is a solid shape with a specified shaped base. While a square based pyramid is a type of pyramid which has its base to be a square.
Volume of a square based pyramid = \(\frac{1}{3}\) x base area x height
Also, are of a square = length x length
So that,
i. For the first pyramid;
volume = \(\frac{1}{3}\) x (2 x 2) x 6
= 8 cubic feet
The volume of the first pyramid is 8 cubic feet.
ii. For the second pyramid, we have;
height = 8 feet
base side = 2.5 feet
So that.
Volume = \(\frac{1}{3}\) x (2.5 x 2.5) x 8
= 16.6667
Volume = 16.67 cubic meters
The volume of the second pyramid is 16.67 cubic meters.
Therefore, the volume of the second pyramid is greater than the volume of the first pyramid by;
volume of the second pyramid - volume of the first pyramid = 16.67 - 8.0
= 8.67 cubic feet
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Drag Each tile to the correct location. Not all tiles will be used. Match The transformation of rational function f(x)=2x/x-3 with the resulting function each tile to the correct location.
See explanation below
Explanation:\(f(x)\text{ = }\frac{2x}{x\text{ - 3}}\)For the first function in the box:
\(\begin{gathered} f(x)\text{ = }\frac{2x}{x\text{ - 3}}+\text{ 5} \\ 5\text{ units was added to the y coordinates. \% is positive meaning translation would be up} \\ \text{This means there is a translation of 5 units up} \end{gathered}\)For the 2nd function (right) in the box:
\(\begin{gathered} f(x)\text{ = }\frac{-2x}{-x\text{ - 3}} \\ \text{From the above: } \\ \text{when we compared with th original fucntion, we would s}ee\text{ the x coordinate is negated} \\ \text{This is a reflection over the y ax is. In thos reflection, the y ax i}s\text{ remains the same.} \\ \text{While the x ax i}s\text{ is negated.} \end{gathered}\)The answer is a reflection across the y - axis
For the 3rd function (bottom) in the box:
\(\begin{gathered} f(x)\text{ = }\frac{10x}{x\text{ - 3}}\text{= 5(}\frac{2x}{x\text{ - 3}}) \\ \text{Comparing, we would see 5 was multiplied to the y ax i}s \\ A\text{ multiplication that is positive is a vertical stretch} \\ \text{This is a vertical stretch by 5} \end{gathered}\)For the 4th function (bottom) in the box:
\(\begin{gathered} f(x)\text{ = }\frac{2(x\text{ + 5)}}{(x\text{ + 5)}-3} \\ A\text{ function translation to the right = f(x - h)} \\ \text{But we have }(x\text{ + 5) = (x - (-5)); h = -5} \\ In\text{ this function, the x is translated 5 units to the left} \end{gathered}\)Is the Ordered Pair (3. – 2) a solution to the following equation? 3x - 2y = 13
Yes, the Ordered Pair is a solution to the equation.
No, the Ordered Pair is NOT a solution to the equation.
a cubic block of concrete is 0.255 meters on a side. what is the volume of this block in cubic decimeters?
Answer:
We can convert the dimensions of the cubic block from meters to decimeters, since there are 10 decimeters in a meter.
0.255 meters = 2.55 decimeters
The volume of a cube is given by the formula:
Volume = (side length)^3
Plugging in the given value of 2.55 decimeters, we get:
Volume = (2.55 dm)^3
Volume = 16.419375 dm^3
Therefore, the volume of the cubic block in cubic decimeters is approximately 16.42 dm^3.
The volume of this block in cubic decimeters is 0.255 meters on a side is 0.000251485 dm³
The volume of the cubic block of concrete can be found by calculating the volume of a cube. The formula for the volume of a cube is V = s^3, where s is the length of the side of the cube.
The side of the cube is 0.255 meters, so the volume is calculated by cubing 0.255.
The volume of the block is 0.0251485m^3.
1m^3 = 1000dm^3.
So, the volume of the block in cubic decimeters is 0.000251485dm^3.
To summarize, the volume of a cubic block of concrete that is 0.255 meters on a side is 0.000251485 dm³.
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Which division problem is equivalent to 25?
CLEAR CHECK
5÷2.
Divide 5 by 2.
Cut 5 equal sections from a 2-foot-long ribbon.
Split 5 cups of yogurt into 2 equal servings.
a state representative wants to know how voters in his district feel about enacting a statewide smoking ban in all enclosed public places, including bars and restaurants. his staff mails a questionnaire to 800 voters in his district. of the 800 questionnaires mailed, 152 were returned. of the 152 returned questionnaires, 101 support the enactment of a statewide smoking ban in all enclosed public places. the statistic is:
The statistic is 101 out of 152 (66.45%) which the questionnaires returned from the 800 mailed support the enactment of a statewide smoking ban in all enclosed public places.
To calculate this statistic, I first found the total number of questionnaires returned, which was 152. I then found the number of questionnaires that supported the ban, which was 101. To calculate the percentage, I then divided the number of questionnaires that supported the ban (101) by the total number of questionnaires returned (152), which gave me the answer of 66.45%. This percentage shows that a majority of the voters in the state representative's district support the enactment of a statewide smoking ban in all enclosed public places.
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What is the equation for the line of the slope intercept
Answer:
y = (1/7)x - 3
Step-by-step explanation:
By inspection the y-intercept is found to be (0, -3). The slope is
increase in y - 3 - (-4)
m = --------------------- = --------------- = 1/7
increase in x 0 - (-7)
Thus, the slope-intercept form of the equation of this line is
y = mx + b, or y = (1/7)x - 3
a new car was purchased in 2005 for $20,000. it depreciates at a rate of 9%. what year will the car have a value of $10,000
A.2016
B.2008
C.2010
D.2012
Answer:
Step-by-step explanation: 2012
Answer:
The second method is estimating the initial value of the car. Let's assume you were offered to buy a three-year-old car for $12,000. If you input the value into the "3 years" box, the car depreciation calculator will display the initial value of the car - in this case, over $20,500. You can now compare it to the price of a brand new car.
Step-by-step explanation:
A student takes a multiple choice test. Each question has N answers. If the student knows the answer to a question, the student gives the right answer, and otherwise guesses uniformly and at random. The student knows the answer to 70% of the questions. Write K for the event a student knows the answer to a question and R for the event the student answers the question correctly.
The probability of answering a question correctly is 0.7 + 0.3/N.
Given: N answer choices for each question; a student knows the answer to 70% of the questions; and the student guesses uniformly and at random for remaining 30% of the questions.
Let K be the event that the student knows the answer to a question and R be the event that the student answers the question correctly.
The probability of event K can be calculated as:
P(K) = 0.7The probability of event K' (not knowing the answer) can be calculated as:
P(K') = 0.3The probability of event R given K can be calculated as:
P(R|K) = 1The probability of event R given K' can be calculated as:P(R|K') = 1/N
Therefore, the probability of event R can be calculated using the law of total probability:
P(R) = P(K)P(R|K) + P(K')P(R|K')P(R)
= 0.7 × 1 + 0.3 × (1/N)P(R)
= 0.7 + 0.3/N
Therefore, the probability of answering a question correctly is 0.7 + 0.3/N.
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Which graph represents the equation y=−32x−3?
Answer:
Step-by-step explanation:
So first you do y=z and1+2=3 so 6=y=-0 is your answer :)
This one too! Only help if you know!
Answer:
13º
Step-by-step explanation:
We know a straight line makes 180, so the one opposite 63 is (180-63) which is 117.
We know the interior angles in a triangle make 180. We know two angles 50 and 117 and 50+117=167. 180-167=13.
any help on this image please? i don't get it
Step-by-step explanation:
hope you can understand
A commercial greenhouse is constructed
in the shape of a prism, as shown.
12 m
T 0.6 m
1.8 m
0.9 m
1.8 m 1.8 m
0.6 m
0.6 m
3
V =
E
[3]
Work out the
volume of the
greenhouse.
(nearest m3)
Mark it
9514 1404 393
Answer:
155.52 m³
Step-by-step explanation:
The volume will be the product of the end area and the length of the greenhouse.
The end area consists of 4 triangles and 6 rectangles. We can do a little manipulation of the shapes to simplify the area calculation a bit.
We can divide half of the greenhouse face along its vertical lines to make two trapezoids. Their "bases" will be the lengths of the vertical lines, and their heights will be the dimensions 1.8 m and 0.6 m. Since there are two of each, we can find the end area to be ...
A = 2(1/2)(b1 +b2)(h1) +2(1/2)(b2 +b3)(h2)
A = (3.3 +2.7)(1.8) +(2.7 +0.9)(0.6) = 10.8 +2.16 = 12.96 . . . square meters
__
The volume is then ...
V = Bh
V = (12.96 m²)(12 m) = 155.52 m³ . . . . greenhouse volume
Solve -2x + y = 5 for y
y =
Answer:
if we solve for y the answer is y= 2x+5
How is p-value calculated with example?
To calculate the p-value, we have to follow the following steps:
First, identify the correct test statistic.Then, calculate the test statistic using the relevant properties of the sample.Specify the characteristics of the test statistic’s sampling distribution.Then, place test statistics in the sampling distribution to find the p-value.To calculate the p-value, we need
p = sample proportion
p' = assumed population proportion in the null hypothesis
n = sample size
Example
Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.
σₓ = σ/ √n
σₓ = 32.17 / √40
= 5.0865
Now, by applying the test static formula, we get
t = (105.37 – 120) / 5.0865
t = -2.8762
Using the table, we find the value of P(t>-2.8762)
From the table, we get
P (t<-2.8762) = P(t>2.8762) = 0.003
If P(t>-2.8762) = 1- 0.003 = 0.997
P- value = 0.997 > 0.05
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A worker's salary is increased by 12%. If the worker's original salary is represented by s, which two expressions represent the worker's salary after the increase?
Step-by-step explanation:
Given that
A worker's salary is increased by 12%.
Let the worker's original salary is represented by s. It means, the new salary of the person is given by :
New salary = 12% of s
So,
\(N=\dfrac{12}{100}\times s\\\\=0.12s\)
Hence, this is the required solution.
What is 12% of 36?(finding a part of a whole)
Answer:
4.32 is 12% of 36
Step-by-step explanation:
PLS PLS PLS I NEED HELP WITH MATH!!!! GAVE OFF ALL MY POINTS FOR THIS PLEASE GIVE A GOOD ANSWER!!!!!
1. a closed figure made up of line segments
2. any face that is not a base
3. three-dimensional figure with a polygon base and triangles for all other faces
4. three-dimensional figure with two parallel, congruent, polygonal faces and parallelograms for all other faces
5. the perpendicular width of a plane figure
6. a two-dimensional representation of a three-dimensional shape when unfolded
7. a plane figure that is one side of a solid figure
8. a prism with a rectangular base and right angles between the base and sides
9. geometric figure with three dimensions
10. a prism with a triangular base and right angles between the base and sides
hi! im chimken and i have your answers!!!
1. polygon: is a closed figure where the sides are all line segments.
2. lateral face: a side of three-dimensional figure that is not a base.
3. pyramid: a solid figure that has a polygon for a base and triangles for sides. it is named for the shape of its base.
4. polyhedron: formed by two parallel, congruent, polygonal bases connected by lateral faces that are parallelograms.
5. i don't know this one :(
6. a net: a two dimensional representation of a three-dimensional figure that is unfolded along it's edges so that each face of the figure is shown in two dimensions.
7. face: is a plane figure that serves as one side of a solid figure.
8. i don't know this one :(
9. there are 4 possible answers. rectangular prism, sphere, cone, cylinder: 3D geometric shapes with the basic three-dimensional shapes.
10. triangular prism: with a known base and height of its face.
i hope this helped!!!
braise bingus!
Which of the binomials below is a factor of this trinomial? URGENT!!!
Answer:
C
Step-by-step explanation:
10×-28=-280
35-8=27
35×(-8)=-280
10x²+27x-28
=10x²+(35-8) x-28
=10x²+35x-8x-28
=5x(2x+7)-4(2x+7)
=(2x+7)(5x-4)
=========================================================
Explanation:
One way we can factor is through use the of the quadratic formula.
Let \(10x^2+27x-28 = 0\)
For now, the goal is to find the two roots of that equation.
Plug a = 10, b = 27, c = -28 into the quadratic formula
\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(27)\pm\sqrt{(27)^2-4(10)(-28)}}{2(10)}\\\\x = \frac{-27\pm\sqrt{1849}}{20}\\\\x = \frac{-27\pm43}{20}\\\\x = \frac{-27+43}{20} \ \text{ or } \ x = \frac{-27-43}{20}\\\\x = \frac{16}{20} \ \text{ or } \ x = \frac{-70}{20}\\\\x = \frac{4}{5} \ \text{ or } \ x = -\frac{7}{2}\\\\\)
The two roots are x = 4/5 and x = -7/2
For each root, rearrange the equation so we have 0 on the right hand side, and it's ideal to get rid of the fractions
x = 4/5
5x = 4
5x-4 = 0 gives us one factor
and
x = -7/2
2x = -7
2x+7 = 0 gives the other factor
The two factors are 5x-4 and 2x+7
Note how (5x-4)(2x+7) = 0 leads to the two separate equations of 5x-4 = 0 and 2x+7 = 0 due to the zero product property. Solving each individual equation leads to the two roots we found earlier.
Alternative methods to solve this problem are the AC factoring method (which leads to factor by grouping), using the box method, or you could use guess and check.
In Ty's English class, 70% of the students completed an essay by the due date. There are 30 students in Ty's English class. How
many completed the essay by the due date?
Please help out and explain the best you can ! Thank u !:))
Answer:
21 people completed the assignment by the due date, hope this helps !!!
Step-by-step explanation:
70% of 30 is 21 according to my calculator lol :D
brainliest would be swag ?
A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours. a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours? # (please round to four decina!places)
The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668 (rounded to four decimal places).
The probability that a randomly chosen light bulb lasts more than 10,500 hours is 0.0668(rounded to four decimal places).Here's how to calculate it:Given data mean μ = 9,000 and standard deviation σ = 1,000.To calculate the probability that a random light bulb lasts more than 10,500 hours, convert the problem to a standard normal distribution.
z = (10,500 - μ)/σ = (10,500 - 9,000)/1000 = 1.50
Here's the standard normal distribution curve with the shaded area representing the probability required: Standard normal distribution curve with the shaded area
Now, the area under the curve to the right of z = 1.5 is the probability that a randomly chosen light bulb will last more than 10,500 hours.
Using the Z table, we can look up the value corresponding to a z-score of 1.5. The table gives us a value of 0.9332.Now, the area to the left of z = 1.5 is 1 - 0.9332 = 0.0668, which is the probability that a randomly chosen light bulb lasts more than 10,500 hours, rounded to four decimal places.
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4 divided by 1/3 as a fraction
Answer:
12\1
Step-by-step explanation:
the same thing as 12
The answer of when 4 should be divided by 1 by 3 so it should be 12.
Calculation of the values:Since there are two numbers i.e. 4 and 1 by 3
So after dividing the 4 from 1 by 3 so it comes like
\(= 4\times 3\)
= 12
Hence, The answer of when 4 should be divided by 1 by 3 so it should be 12.
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person 1 can do a certain job in 15min, and person 2 can do the same job in 30 min. when completing the job together, which expression would be used to represent the amount of work done by person 1
A. 15
B. 1/15
C. x/15
Answer:
I believe the answer is B. 1/15
Step-by-step explanation:
Answer:
B. 1/15
Step-by-step explanation:
Can someone help me please?
Answer:
5
Step-by-step explanation:
the additive inverse of a number is the opposite. lets say we take 7, the additive inverse would be -7. its basically taking away or adding a -.
The ordered pair (0,7) is:
A. at the origin
B. on the x-axis
C. on the y-axis
D. 7 units from the y-axis
Correct = Brainliest
Answer:
on the y axis
Step-by-step explanation:
please help ! I don’t know this one :(
Answer:
C
Step-by-step explanation:
answer is C the y intercept is (0,3)
15 POINTS!
What is the correct answer for Landon's problem? Explain where he went wrong.
Which compound inequality is represented by the graph?
Answer:
A
Step-by-step explanation:
Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).
Can a binomial be multiplied by a monomial such that the product is a monomial? If so, give an example.(1 point)
Yes. 0(2x+y)=0
No. A binomial can never be multiplied by a monomial such that the product is a monomial.
Yes. 1(2x+y)=2x+y
Yes. 2(2x+y)=4x+2y
No, you can’t multiply a monomial and binomial together and have a product of a monomial.
factorise:-
(a+b)³ - (a-b)³
\((a+b)^3 -(a-b)^3\\\\=(a+b-a+b)[(a+b)^2 + (a+b)(a-b) +(a-b)^2]\\\\=2b(a^2+b^2+2ab+a^2-b^2 +a^2 +b^2 -2ab)\\\\=2b(3a^2+b^2)\)
Answer:
Step-by-step explanation:
(a + b)³ - (a - b)³ = a³ + 3a²b + 3ab² + b³ - [a³ - 3a²b + 3ab² -b³]
= a³ + 3a²b + 3ab² + b³ - a³ + 3a²b - 3ab² + b³
= a³ - a³ + 3a²b + 3a²b + 3ab² - 3ab² + b³ + b³
Here, the underlined terms will be cancelled.
= 6a²b + 2b³
= 2 * 3 *a²*b + 2*b³
= 2b* (3a² + b²)
PLEASE HELP! TRIGONOMETRY!!
Find the value of x to the nearest tenth.
X =
Answer:
i got 9.4
Step-by-step explanation: