Please help on this question :(

The height of the rectangular pyramid is 16 units.

To find the height of the rectangular pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) * base area * height

Given that the volume of the rectangular pyramid is 512 units^3, and the length of the rectangular base is 8 units and the width is 12 units, we can find the base area:

Base Area = length * width = 8 * 12 = 96 units^2

Now we can substitute the values into the volume formula:

512 = (1/3) * 96 * height

To solve for the height, we can isolate it by multiplying both sides of the equation by 3/96:

512 * 3/96 = height

Simplifying the right side of the equation:

16 = height

The rectangular pyramid is 16 units tall as a result.

for such more question on height

https://brainly.com/question/16269079

#SPJ8

Answer:

x1 = -8 and x2 = 9?

= x - 8 / x = 2 / x + 9

= Let's solve your equation step-by-step.

= x − 8x = 2x + 9

= x + − 8x = 2x + 9

Multiply all terms by x and cancel:

xx + −8 = 2 + 9x

x² −8 = 9x + 2 ( Simplify both sides of the equation )

x² − 8 − (9x + 2) = 9x + 2 − (9x + 2) (Subtract 9x+2 from both sides)

x² − 9x − 10 = 0

( x + 1 )( x − 10 ) = 0 (Factor left side of equation)

x +1 = 0 or x − 10 = 0 (Set factors equal to 0)

x = − 1 or x = 10

Check answers. (Plug them in to make sure they work.)

Answer:

-42x² - 168x - 168

Step-by-step explanation:

Step 1: Write expression

-42(x² + 4x + 4)

Step 2: Distribute

-42x² - 168x - 168

  If the wind chill temperature is -24.3°F, actual temperature of the wind will be 10°F.

  Equation for the chill temperature has been given as,

        Here, W = Chill temperature

        T = Actual temperature

Solve this equation for the value of T,

W = 1.42T - 38.5

W + 38.5 = 1.42T - 38.5 + 38.5 (Add 38.5 on each side)

W + 38.5 = 1.42T

[tex]T=\frac{W+38.5}{1.42}[/tex] (Divide each side by 1.42)

For W = -24.3°F

[tex]T=\frac{-24.3+38.5}{1.42}[/tex] (Substitute the value of W in the equation)

T = 10° F

    Therefore, actual temperature will be 10°F if the wind chill temperature is -24.3°F.

Learn more,

https://brainly.com/question/20783834

Answer:

y=3x

Step-by-step explanation:

Answer:

i dunno what that means but i think maybe your keyboard broke so the type of letters is random??

Answer:

Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.

We have:

a + b = 20

We also know that he shot total of 1250 shots:

50a + 100 b = 1250

We have two equations. We can solve them for a and b.  Let's rearange first equation for a:

a= 20 - b

We insert this into second equation:

50 * (20 - b ) + 100b = 1250

1000 - 50b + 100b = 1250

50b = 250

b = 5

a = 20 - 5

a = 15

Mark shot 100 shots on 5 day

Answer: x = 15, y = 5

Step-by-step explanation:

x + y = 20   The number of days equals 20

50x + 100y = 1250    The free throws per day add up to 1250

Solve by substituion:

rewrite the first equation to get the value for x

x = -y +20  Subsstitute for x in the second equation

50(-y +20) + 100y = 1250

-50y + 1000 + 100y = 1250  Subtract 1000 from both sides and simplify y

50y = 250 Divide both sides by 50

y = 5

substitute in the first equation and solve for x

x + 5 = 20

x = 15

Substitute into the second equation to check

50(15) + 100(5) = 1250

750 + 500 = 1250

1250 = 1250   True

And just for illustration, the attachment shows the graph of the solution, (15,5)

The chosen dream product is a solar-powered smart home automation system. The Vision & Mission statement is to create an environmentally sustainable and technologically advanced solution that enhances comfort, convenience, and energy efficiency in households. The production and successful implementation of this product require thorough research to assess its feasibility and viability, considering factors such as technological capabilities, market demand, and economic sustainability.

The Vision of the solar-powered smart home automation system is to revolutionize the way households interact with their living spaces by providing an environmentally sustainable solution. The Mission is to develop a state-of-the-art system that seamlessly integrates solar power generation, smart devices, and automation technologies to enhance comfort, convenience, and energy efficiency. This product aims to empower homeowners to reduce their carbon footprint while enjoying the benefits of a modern and connected lifestyle.
To undertake research work on the dream product, a comprehensive assessment is required. This involves evaluating the feasibility of integrating solar power generation with home automation technologies. Factors such as the availability of solar resources, technological advancements in energy storage, and the compatibility of smart devices with automation systems need to be investigated. Additionally, a market analysis is crucial to understand the demand for such a product, potential competition, and pricing considerations.
The research work also involves assessing the viability of the product from an economic perspective. This includes analyzing production costs, potential revenue streams, return on investment, and long-term sustainability. Careful consideration must be given to manufacturing processes, supply chain management, and scalability to ensure successful production and distribution of the product.
Overall, the development and successful implementation of a solar-powered smart home automation system require extensive research to assess its technical feasibility, market demand, and economic viability. By conducting a thorough assessment, the dream product can be evaluated effectively, paving the way for its production and subsequent success in the market.

Learn more about feasibility here
https://brainly.com/question/30839666



#SPJ11

Answer:

17 to 9

Step-by-step explanation:

I think let me know if I'm wrong

Answer:

okay 9 of marcus shoes are jordans 17 of marcus shoes arn't jordans

Step-by-step explanation:

bc if you subtract 27-9 you can get 17

Answer:

35.45

Step-by-step explanation:

Answer:

by using clustering technique answer is 35 or B

Step-by-step explanation:

Edge 2020

The transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3.The answer should be D.

The transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3. Main answer:The given parent function is f(x).

The new function that we have to find is f(3x).

We know that the general form of a horizontal shrink is given by:f(x/a), where a is the horizontal shrink factor. We substitute 3 for a because 3 is the shrink factor that gets us from x to 3x.

Therefore,f(x/3) = f(3x)Thus, the transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3.The answer should be D.

e can make use of the horizontal and vertical transformations to describe a transformation of the graph of a function. The horizontal transformation can be represented by the expression f(x - a) or f(x + a), while the vertical transformation can be represented by the expression f(x) + b or f(x) - b.

To know more about parent function visit:

brainly.com/question/17039854

#SPJ11

Answer: The answer to your second question is 2/15

Step-by-step explanation:

6/9=2/3 and 2/3 divided by 5 or multiplied by 1/5 is 2/15

$12.25

                                                                   you welcome that the answer

Answer:

11.25$

Step-by-step explanation:

19.00 - 7.75 = 11.25

Each person would receive 2x/3 sheets of paper.

To know the amount of paper each person receives, we need to divide the total amount of paper in the packs by the number of teachers.

Given data:

Number of packs of paper = 2

Number of teachers = 3

To get the amount of paper each person gets, we divide the total paper by the number of teachers. Let's say each pack contains "x" sheets. So, the total amount of paper is 2x.

Amount of paper per person:

= Total amount of paper ÷ Number of teachers

= 2x / 3.

Read more about Proportion

brainly.com/question/1496357

#SPJ1

Answer:

The constant of variation is k = -2 ⇒ (B)

Step-by-step explanation:

The equation of the direct variation is y = k x, where

The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)

We can use one of the points [except point (0, 0)] to find the value of k

∵ (-1, 2) is a given point

∴ x = -1 and y = 2

∵ k = [tex]\frac{y}{x}[/tex]

→ Substitute the values of x and y in the relation above

∴ k = [tex]\frac{2}{-1}[/tex]

∴ k = -2

The constant of variation is k = -2

Answer:

c

Step-by-step explanation:

Answer:

Technically it is supposed to be 37.7 but in this case, the answer is C: 37.68 cm

Step-by-step explanation:

I am smart...Calibri is the superior font and green is the superior highlight color.

Answer: The value of x is 60 and two prime numbers are 2 and 3

Step-by-step explanation:

This is because 2 multiplied by 30 is 60 and 2 and 3 are prime numbers because their only factors are one and themselves.

Answer:

I) the value of X is 60

60=1×_

2×30

3×20

4×15

5×12

6×12

6×10 = 60

ii) 2 and 3 you also can put 5

Hope this helps

Answer:

Step-by-step explanation:

-----------------------

-----------------------

-----------------------

[tex] \LARGE{ \underline{ \blue{ \rm{Required \: answer:}}}}[/tex]

What to do?

We have to solve the equations and find the out the value of a in each case. Accordingly we have to drag the value of the equation.

1) 2a + 3(a + 1) = 8

⇒ 2a + 3a + 3 = 8

⇒ 5a + 3 = 8

⇒ 5a = 5

⇒ a = 5/5 = 1

Drag the tile with number 1 on the top.

2) 3a - 2a - 4 = 0

⇒ a - 4 = 0

⇒ a = 4

Drag the tile with number 4 on the top.

3) 6(2a - a + 1)= 24

⇒ 2a - a + 1 = 4

⇒ a + 1 = 4

⇒ a = 3

Drag the tile with number 3 on the top.

4) 4 + 3(a + 2) = 16

⇒ 3(a + 2) = 12

⇒ a + 2 = 12/3 = 4

⇒ a = 2

Drag the tile with number 2 on the top.

Step-by-step explanation:

load=1000N

effort=250N

load arm=25cm

effort arm=?

Now,

E×E.D=L×L.D

250×E.D=1000×25

E.D=1000×25÷250

E.D=100cm

therefore,effort arm is 100cm.

The standard deviation is approximately 1.3, rounded to one decimal place. The values for P(X≥5) and P(X≤3) are approximately 0.2 and 0.6, respectively, rounded to one decimal place.

To determine the standard deviation, we first need to calculate the mean. We can do this by multiplying each value of 'x' by its corresponding probability and summing them up:

Mean (μ) = (1*0.1) + (2*0.2) + (3*0.3) + (4*0.2) + (5*0.2) = 0.1 + 0.4 + 0.9 + 0.8 + 1.0 = 3.2

Next, we can calculate the variance (σ^2) by squaring the differences between each 'x' value and the mean, multiplying by their probabilities, and summing them up:

Variance (σ²) =

[tex][(1-3.2)^2 * 0.1] + [(2-3.2)^2 * 0.2] + [(3-3.2)^2 * 0.3] + [(4-3.2)^2 * 0.2] + [(5-3.2)^2 * 0.2]= \\(-2.2)^2 * 0.1] + [(-1.2)^2 * 0.2] + [(-0.2)^2 * 0.3] + [(0.8)^2 * 0.2] + [(1.8)^2 * 0.2]= \\4.84 * 0.1 + 1.44 * 0.2 + 0.04 * 0.3 + 0.64 * 0.2 + 3.24 * 0.2= 0.484 + 0.288 + 0.012 + 0.128 + 0.648 \\= 1.56[/tex]

Finally, the standard deviation (σ) is the square root of the variance:

Standard Deviation (σ) = √1.56 ≈ 1.25 (rounded to one decimal place)

To find P(X≥5), we add up the probabilities of all 'x' values greater than or equal to 5:

P(X≥5) = P(X=5) = 0.2

To find P(X≤3), we add up the probabilities of all 'x' values less than or equal to 3:

P(X≤3) = P(X=1) + P(X=2) + P(X=3) = 0.1 + 0.2 + 0.3 = 0.6

Therefore, the values are:

Standard Deviation ≈ 1.3

P(X≥5) ≈ 0.2

P(X≤3) ≈ 0.6

To know more about standard deviation refer here:

https://brainly.com/question/29115611#

#SPJ11

The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.

To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.

Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:

µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)

σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)

Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:

[tex]P(x) = C(n, x) * p^x * (1 - p)^{n - x}[/tex]

Substituting the values, we have:

[tex]P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}[/tex]

Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).

Finally, if we want to calculate the z-score for a given value of x, we can use the formula:

z = (x - µ) / σ

For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).

In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.

To learn more about Standard deviation, visit:

https://brainly.com/question/475676

#SPJ11

Answer: Jonathan spends more time playing video games because 3/5 of the time he is playing video games, while Lucas is only playing thirty minutes out of sixty, which simplifies into 1/2. Jonathan plays 60% of the time and Lucas plays 50%.

Step-by-step explanation:

Answer: D

Step-by-step explanation: I just answered the question on the quiz and got it wrong (from a p e x)

Answer:

400

Step-by-step explanation

First, find how many cycles 5 man can make in 8 days.

400/2=200 (/ means divide)

Next, mutliply the answer to find out how many cycles 5 man can make in 16 days.

200x2=400

Answer:

0 =0

Both sides are equal

There are infinite solutions

Step-by-step explanation:

[tex]2 (2k - 16) = -30 + 4k - 2\\\\\mathrm{Subtract\:the\:numbers:}\:-30-2=-32\\2\left(2k-16\right)=4k-32\\\\\mathrm{Expand\:}2\left(2k-16\right):\quad 4k-32\\\\4k-32=4k-32\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\4k-32+32=4k-32+32\\\\Simplify\\\\4k =4k\\\\\mathrm{Subtract\:}4k\mathrm{\:from\:both\:sides}\\\\4k-4k=4k-4k\\\\Simplify\\\\0=0\\\\\mathrm{Both\:sides\:are\:equal}[/tex]

The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

The given constraints are: 14X + 4Y ≤ 28 and X − Y ≤ 2

In order to determine which of the points belong to the feasible region of this maximization problem, we need to check each point one by one. Let's evaluate each point and check which of the points lie in the feasible region. The points are given as below:x = −1, y = 2.5

The two constraints are:14X + 4Y ≤ 28 and X − Y ≤ 2

For the point (x,y) = (-1,2.5), we have:

14(-1) + 4(2.5) = 7 > 0;

Therefore, the point (-1,2.5) satisfies the first constraint.

Next, we need to check whether the point (-1,2.5) satisfies the second constraint:X − Y = -1 - 2.5 = -3.5 < 2

Since the second constraint is not satisfied, (-1,2.5) is not in the feasible region.

x = −1, y = 1

For the point (x,y) = (-1,1), we have:14(-1) + 4(1) = 10 > 0;

Therefore, the point (-1,1) satisfies the first constraint

.Next, we need to check whether the point (-1,1) satisfies the second constraint:X − Y = -1 - 1 = -2 < 2

Since the second constraint is satisfied, (-1,1) is in the feasible region.

x = 4, y = 2For the point (x,y) = (4,2), we have:14(4) + 4(2) = 64 > 0;

Therefore, the point (4,2) satisfies the first constraint.Next, we need to check whether the point (4,2) satisfies the second constraint:X − Y = 4 - 2 = 2 < 2

Since the second constraint is not satisfied, (4,2) is not in the feasible region.

x = 2, y = 1

For the point (x,y) = (2,1), we have:

14(2) + 4(1) = 32 > 0;

Therefore, the point (2,1) satisfies the first constraint.Next, we need to check whether the point (2,1) satisfies the second constraint:X − Y = 2 - 1 = 1 < 2

Since the second constraint is satisfied, (2,1) is in the feasible region.

x = 1, y = 1

For the point (x,y) = (1,1), we have:

14(1) + 4(1) = 18 > 0;

Therefore, the point (1,1) satisfies the first constraint.

Next, we need to check whether the point (1,1) satisfies the second constraint:X − Y = 1 - 1 = 0 < 2

Since the second constraint is satisfied, (1,1) is in the feasible region.

Hence, the two points that belong to the feasible region are (-1,1) and (1,1).

Therefore, the correct answer is: The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).

To know more about maximization problem visit:

brainly.com/question/29787532

#SPJ11

Answer:

m=3

x=11/2

x=1/2,x=-3/10

Hey if you wanna see step please msg me

try to solve by your self next time!!!!!!!