What is the surface area of the rectangular pyramid

The variable b as the subject of the formula is b = √2(p -c)/a

Expressions are mathematical statements that are represented by variables, coefficients and operators

The equation is given as

p = 1/2ab^2 + c

Subtract c from both sides of the equation

So, we have

1/2ab^2 = p - c

Multiply through by 2

ab^2 = 2(p -c)

Divide by a

b^2 = 2(p -c)/a

Take the square root of both sides

b = √2(p -c)/a

Hence, b as the subject of the formula is b = √2(p -c)/a

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Answer:

52 marbles i think

Step-by-step explanation:

Answer:

Olivia-2.25

Step-by-step explanation:

Olivia runs faster than Maggie.

Olivia runs 2.22 miles/hour faster than Maggie.

Speed is the ratio of the given distance and time.

It shows how fast an object is moving at a given time.

The formula is Distance / Time.

We can find the distance or time when the required values are given using this formula.

We have,

To compare the speeds of Maggie and Olivia, we can calculate their respective rates using the formula:

rate = distance/time

For Maggie:

distance = 1/4 mile

time = 1.3 minutes

rate = (1/4) / 1.3 = 0.1923 miles/minute

For Olivia:

distance = 2/3 mile

time = 2.9 minutes

rate = (2/3) / 2.9 = 0.2293 miles/minute

Therefore, Olivia runs faster than Maggie.

To find out how much faster Olivia runs per hour, we can convert her rate to miles per hour:

0.2293 miles/minute x 60 minutes/hour x 60 seconds/minute

= 13.758 miles/hour

Similarly, we can convert Maggie's rate to miles per hour:

0.1923 miles/minute x 60 minutes/hour x 60 seconds/minute

= 11.538 miles/hour

The difference in their speeds is:

13.758 - 11.538

= 2.22 miles/hour

So,

Olivia runs 2.22 miles/hour faster than Maggie.

Thus,

Olivia runs faster than Maggie.

Olivia runs 2.22 miles/hour faster than Maggie.

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Step-by-step explanation:

a(n) = a +(n-1)d

d=1/4 -1/2 =-1/4

°.° a(15) = 1/2 +(15–1) -1/4

a(15) = 1/2 -3.5

        =-3

hope it will help

Answer:

5

Step-by-step explanation:

5/30 = 1/6

Answer:

248

Step-by-step explanation:

2x124

Answer:

1 hr and 45 mins

Step-by-step explanation:

12:26-11:11 or  115, so an hour and 45 mins.

Hope this helps :D

Answer:

75 min

Step-by-step explanation:

I did 49+26 because from 11:11 to 12 theres 49 min and from 12 to 12:26 theres 26 min

Answer:

yes, but the assignment is not here

Answer:

$150

Step-by-step explanation:

shown on graph when graphed out

The samples in the first proposal are independent, while the samples in the second proposal are dependent.

In the first proposal, where the manufacturer randomly samples 10 different dealerships for each set of sales numbers (last year and 15 years ago), the samples are independent. This is because the selection of dealerships for one set of sales numbers does not affect or influence the selection of dealerships for the other set of sales numbers. Each dealership is chosen randomly and independently for each set.

On the other hand, in the second proposal, where the manufacturer randomly samples 10 dealerships for both sets of sales numbers, the samples are dependent. This is because the selection of dealerships for one set of sales numbers is directly tied to the selection of dealerships for the other set of sales numbers. The same 10 dealerships are chosen for both sets, so the samples are not independent.

The choice between independent and dependent samples can have implications for statistical analysis. Independent samples allow for direct comparisons between the two sets of sales numbers, while dependent samples may introduce potential bias or confounding factors due to the shared dealership selection.

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Answer:

7, 10

Step-by-step explanation:

X - 1 is greater than or equal to 6

+1. +1

x is greater than or equal to 7.

7 can work as

7 - 1 is greater than or equal to 6

6 is greater than or equal to 6

10 also works because if you put it in the equation the answer is still more than 6.

Answer:

\( 3\bigg( \dfrac{a}{b^2}+\dfrac{6c}{b^2}\bigg) \)

Step-by-step explanation:

Here we have ,

\(\sf\longrightarrow \dfrac{3a+18c}{b^2} \)

This can be written as ,

\(\sf\longrightarrow \dfrac{3a}{b^2}+\dfrac{18c}{b^2} \)

You can take out 3 as common,

\(\sf\longrightarrow 3\bigg( \dfrac{a}{b^2}+\dfrac{6c}{b^2}\bigg) \)

We can't simplify this any further. Hope this helps!

Answer:

Step-by-step explanation:

You are right it is 8!

Answer:

cylinder? Radius × Radius × Height × Pi ... You have a cylinder with a 5 inch diameter and it's 6 inches high. ... (5 Inch Diameter Divided by 2) = 2.5 Inch Radius

Answer: 2.31

Step-by-step explanation: 0.462 divided by 0.2 is 2.31. I knew it was going to be over 2 because 0.2 times 2 is 0.4.

Answer:

2.31

Step-by-step explanation:

0.2 goes into 0. 2 times.   First part of answer: 2

0.2 goes into  0.06 3 times.   second of answer: 3

0.2 goes into 0.002  one time. Third part of answer: 1

Answer: 0.231.

Now we need to move the decimal 4 places to the left and we get 2.31

HOPE THIS HELPS YOU!!    :)

Plz mark brainliest if you want to!  :)

The probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.

Probability is the study of random events. It is a measure of the likelihood of an event occurring. Probability can be expressed as a decimal, a fraction, or a percentage. There are two types of probability - empirical probability and theoretical probability.

Empirical probability is calculated by conducting experiments or collecting data. It is calculated using the following formula:

Empirical probability = Number of favourable outcomes/Total number of outcomes

Theoretical probability is calculated using probability formulas. It is calculated using the following formula:

Theoretical probability = Number of favourable outcomes/Total number of possible outcomes

In the given problem, a fair die is rolled three times. We need to find the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll. There are 2 favourable outcomes for the first roll, 2 favourable outcomes for the second roll, and 2 favourable outcomes for the third roll.

Total number of outcomes = 6×6×6 = 216

Number of favourable outcomes = 2×2×2 = 8

Probability = Number of favourable outcomes/Total number of outcomes

Probability = 8/216

Probability = 1/27

Therefore, the probability that it is 1 or 2 on the first roll, 3 or 4 on the second roll, or 5 or 6 on the third roll when a fair die is rolled three times is 1/4.

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Answer:

I'm confused because...

Step-by-step explanation:

The area of the triangle is 117.

So the surface area of the pyramid is 701.168.

The ratio of revenue to cost is given by:  \(\[\frac{R(x)}{C(x)} = \frac{(900 + 25x)x}{900x + 75(50 - x)}\]\). The second

derivative expression, we get:  \(\[\frac{d^2}{dx^2}\left(\frac{R(x)}{C(x)}\right) = \frac{875}{(900x + 75(50 - x))^2}\]\) and this

equation will give us the potential vertical asymptotes.

a) To represent the ratio of revenue to cost, let's start by defining the function \(\(f(x)\)\) as the revenue generated by renting \(\(x\)\) units. The cost function \(\(C(x)\)\) can be expressed as:

\(\[C(x) = 900x + 75(50 - x)\]\)

The revenue function \(\(R(x)\)\) is the product of the number of rented units \(\(x\)\) and the price per unit:

\(\[R(x) = (900 + 25x)(x)\]\)

The ratio of revenue to cost is given by:

\(\[\frac{R(x)}{C(x)} = \frac{(900 + 25x)x}{900x + 75(50 - x)}\]\)

b) To find the intervals of increase and decrease and the intervals of concavity, we need to analyze the first and second derivatives.

First, let's find the first derivative \(\(\frac{d}{dx}\left(\frac{R(x)}{C(x)}\right)\)\) using the quotient rule:

\(\[\frac{d}{dx}\left(\frac{R(x)}{C(x)}\right) = \frac{(900 + 25x)\frac{d}{dx}(x) - x\frac{d}{dx}(900 + 25x)}{(900x + 75(50 - x))^2}\]\)

Simplifying the derivative expression, we have:

\(\[\frac{d}{dx}\left(\frac{R(x)}{C(x)}\right) = \frac{875x - 1800}{(900x + 75(50 - x))^2}\]\)

Now, let's find the second derivative \(\(\frac{d^2}{dx^2}\left(\frac{R(x)}{C(x)}\right)\):\)

\(\[\frac{d^2}{dx^2}\left(\frac{R(x)}{C(x)}\right) = \frac{\frac{d}{dx}(875x - 1800)}{(900x + 75(50 - x))^2}\]\)

Simplifying the second derivative expression, we get:

\(\[\frac{d^2}{dx^2}\left(\frac{R(x)}{C(x)}\right) = \frac{875}{(900x + 75(50 - x))^2}\]\)

c) To find any asymptotes of the function, we need to determine the values of \(\(x\)\) where the denominator of the ratio function becomes zero:

\(\[900x + 75(50 - x) = 0\]\)

Solving this equation will give us the potential vertical asymptotes.

d) To sketch the graph of the function, the first derivative, and the second derivative, we can plot them on a graph paper, using different colors for each function. The graph will help us visualize the points of interest, such as local extrema and points of inflection.

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Answer: sqrt 91

Step-by-step explanation:

We can substitute in y here as 30, so that 60+102=2x^2

182=2x^2

In the order of operations, it states that exponents comes before multiplication

91=x^2

So x will be the square root of 91

Answer:

Option A would be the best option, as the payment would not change. Option B has a lower payment, but that payment is expected to rise and eventually be a bigger payment. Option C would require them to pay it off in 8 years, which would be too much based on their income and they would end up having to get another mortgage. Option C would be better if they wanted to live their temporarily, but Demarco and Tanya would like to live in their house permanently. This makes option A the best option because it is an affordable payment that will not change.

Step-by-step explanation:

The best option will be option A which will be chosen by Demarco and Tanya.

Finance deals with the study of money, management, creation, and investments. Also, finance is divided into the following board of categories such as personal finance, corporate finance, and public finance.

The best option will be option A which will be chosen by Demarco and Tanya as the payment plan would not change in this situation.

Option B has a lower payment, but the payment is expected to increase with time and eventually be a bigger payment.

Also, option C would require them to pay it off in 8 years but both of them want to live permanently not separately. Therefore, the best option to choose will be option A.

So, The best option will be option A which will be chosen by Demarco and Tanya.

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Answer:

So, the probability of selecting a number from 1 to 100 that is divisible by 5 or 7 is 0.32.

Hope this helped!

1) The area of the shaded portion is; 63π

2) The area of the shaded portion is; 4π - 8√2

1) The formula for area of a circle is;

A = πr²

where r is radius

The radius here is 9cm and so;

A = π * 9²

A = 81π

The area of a sector is given by the formula;

(θ/360) * πr²

Thus;

A_sect = (80/360) * π * 9²

A_sect = 18π

Area of shaded region = 81π - 18π

Area of shaded region = 63π

2) Using trigonometric ratio, we can find the diameter LN as;

4/LN = cos 45

4/LN = 1/√2

LN = 4√2

Formula for area of semi circle is;

A = ¹/₂πr²

A = ¹/₂ * π * (¹/₂ * 4√2)²

A = ¹/₂ * π * 8

A = 4π

Area of triangle = ¹/₂ * 4 * 4√2

= 8√2

Area of shaded portion = 4π - 8√2

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Happy Valentine's day!!! May God bless you!

Answer:

happy Valentine day you too

Answer:

3.75 Hours or 3H and 45m

Step-by-step explanation:

60MPH * 3H = 180M

180 / 48 = 3.75

Step-by-step explanation:

Distance = rate x time = 60 mi/hr * 3 hr = 180 mi

distance / rate = time = 180 mi / 48 mi/hr = 3.75 hr

it will take .75 hr longer which is 45 minutes longer

Answer:

To answer this u need the formula v=pi r^2h. Since r=9 and h= 2, we could solve the equation by plugging in the variables. v= (3.14)(9)^2(2) is equal to 508.94

The tradeoff of using a higher versus a lower sampling rate when sampling audio data lies in balancing the fidelity of the recorded sound and the storage or processing requirements. Higher sampling rates capture more details and provide better audio quality but require more storage space and computational resources. Lower sampling rates result in reduced audio quality but require less storage space and computational resources.

The sampling rate refers to the number of samples taken per second when converting an analog audio signal into a digital format. It is typically measured in samples per second or hertz (Hz). The Nyquist theorem states that to accurately reproduce a continuous waveform, the sampling rate must be at least twice the highest frequency present in the audio signal.

When using a higher sampling rate, more samples are taken per second, resulting in a more accurate representation of the original analog signal. This leads to better audio quality, particularly in capturing high-frequency components and subtle details. Higher sampling rates are commonly used in professional audio production and high-fidelity audio systems.

However, using a higher sampling rate comes with tradeoffs. Firstly, it requires more storage space as each sample needs to be stored. For example, a sampling rate of 44.1 kHz (common for audio CDs) results in a larger file size compared to a lower sampling rate like 22.05 kHz. Secondly, higher sampling rates require more computational resources for processing and playback, as more data needs to be processed in real-time.

On the other hand, using a lower sampling rate reduces the amount of data captured and processed per second. This results in decreased audio quality, especially for high-frequency sounds and subtle nuances. Lower sampling rates are often used in scenarios where audio quality is not a critical factor, such as telecommunications or certain multimedia applications where storage and computational efficiency are prioritized.

The choice of sampling rate in audio data sampling involves a tradeoff between audio quality, storage requirements, and computational resources. Higher sampling rates provide better fidelity and detail but require more storage space and computational resources. Lower sampling rates result in reduced audio quality but are more efficient in terms of storage and processing. The Nyquist theorem establishes a minimum sampling rate requirement to accurately capture the audio signal.

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There is no such formula, because there are infinitely many "cornered objects" for a single 2D sketch.

To convert 2D coordinates to 3D coordinates We can extrude or drag the shape in the third 3D space direction if you desire a prismatic object. Such block graphics can be easily shown in Word, Excel, and many other programs.

To formulate a surface if co-ordinates are given in parametric form x(t),y(t) forming any base contour, then add z=cu, where c is chosen for the depth you want. like this (x(t),y(t),cu);

As you question, the overall conversion of 2D projection to 3D is uncertain. However, if two orthogonal views are provided, software like Autodesk may utilize specific criteria to build a 3D view that you can rotate with your mouse.

To generate an extruded or linearly swept surface mathematicall

Use two parameters (t, u) to create a 3D extrusion/prism surface, one for the reference plane and the other for adding depth.

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Answer:

0.0162

Step-by-step explanation:

Cause it is

Answer:

0.162

Step-by-step explanation:

one hundred and sixty-two thousandths

162/1000 = 0.162