Find the volume of this prism if length 3 1/4 cm, width is 5 cm and height is 6 1/3 cm

Answer:

Elena is correct

Step-by-step explanation:

She is correct because in both the answer will be 702.

Answer:

Elena is correct

Step-by-step explanation:

pls make brainliest

The intersection of A and B' is an empty set because there are no elements that are in both A and B'. The correct answer is (option E) the empty set.

What is a set ?

A set is a collection of distinct objects, called elements or members, that are well-defined and unordered.

We can start by finding the complement of set B, which consists of all the elements in U that are not in B:

B' = {r, t, v, x, z}

Then, A ∩ B' consists of all the elements that are in A and also in B':

A ∩ B' = {u, w, y} ∩ {r, t, v, x, z} = { }

Therefore, The intersection of A and B' is an empty set because there are no elements that are in both A and B', the correct answer is (option E) the empty set.

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Answer:

x

=

−

8

−

√

13

3

,

−

8

+

√

13

3

I dont know why the answer is spacing out like this

Answer:

Exact area: 39.2π cm²

Approximate area: 123.2 cm²

Step-by-step explanation:

The area of a circle is πr².

A full circle can be thought of as a sector of a circle with 360° of central angle. For a sector of a circle with a central angle of n°, multiply the area of the circle by the fraction n°/360°.

The formula for the area of a sector of circle with central angle n° and radius r is

A = (n°)/(360°) × πr²

Here we have n = 72; r = 14 cm

A = (n°)/(360°) × πr²

A = (72°)/(360°) × π × (14 cm)²

A = 39.2π cm² = 123.2 cm²

Tina and Carl will use 6 and 12 ounces of clay, respectively. Tina uses 3/10 of the 20-ounce bucket and Carl uses 3/5 of the 20-ounce bucket.

To determine how much clay Tina and Carl will use, we need to first find the total amount of clay they will use together.

If 3/10 of the clay is used by Tina and 3/5 of the clay is used by Carl, we can find the total amount of clay used by adding these fractions:

3/10 + 3/5 = (3/10 * 1/2) + (3/5 * 1/2) (we multiply by 1/2 to find the common denominator of 10)

= 3/20 + 6/20

= 9/20

Therefore, Tina and Carl will use a total of 9/20 of the 20-ounce bucket of clay.

To find how much each of them will use, we can multiply the total amount of clay by each person's fraction:

Tina: (3/10) x 20 ounces = 6 ounces

Carl: (3/5) x 20 ounces = 12 ounces

Therefore, Tina will use 6 ounces of clay, while Carl will use 12 ounces of clay.

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Tina and carl share a 20 ounce bucket of clay 3/10 and 3/5, how much of the clay each of them will use?

Answer:

The expression b/(a +b) does not exist when a = -b or b = -a

Step-by-step explanation:

The expression b/(a + b) does not exist if the denominator a + b = 0.

So, a = - b or b = -a.

So, the expression b/(a + b) does not exist when a = -b or b = -a.

When a = -b values, the denominator a + b = -b + b = 0. This will make the expression b/(a + b) = b/0 = ∞ which undefined or does not exist.

When b = -a values, the denominator a + b = a + (-a) = a - a = 0. This will make the expression b/(a + b) = -a/0 = -∞ which undefined or does not exist.

So the expression b/(a +b) does not exist when a = -b or b = -a

Answer:

1/p⁵

Step-by-step explanation:

Answer:

s=8

Step-by-step explanation:

s-5=3

Move the 5 over, it becomes positive

so,

s=3+5

s=8

Answer:

s = 8

Step-by-step explanation:

s - 5 = 3  Add 5 to both sides of the equation and you get

s = 8

The required cubic polynomial is

f(x) = \(-2x^3-2x^2-28x+48\)

What is a polynomial?

An algebraic expression of the form \(a_0 + a_1x+ .... + a_nx^n\) (\(a_0 \neq 0\)) is called a polynomial of degree n.

The zeroes of the cubic polynomial are -4, 2, 3

Let the cubic polynomial is

f(x) = a(x - (-4))(x - 2)(x - 3)

f(x) = a(x + 4)(x - 2)(x - 3)

If x = -5, f(x) = 112

112 = a(-5 + 4) (-5 - 2)(-5 - 3)

112 = -56a

a = \(-\frac{112}{56}\)

a = -2

f(x) = -2(x+ 4)(x - 2)(x - 3)

\(f(x) = -2(x+ 4)(x^2 -3x -2x +6)\\f(x) = -2(x + 4)(x^2 - 5x + 6)\\f(x) = -2(x^3 - 5x^2+4x^2+6x - 20x+24)\\f(x) = -2(x^3 - x^2 - 14x +24)\\f(x) = -2x^3 -2x^2 - 28x + 48\)

(x +4)(x - 2)(x - 3)

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On that day, approximately 77.5% of the carpenters were at work.

To calculate the percentage of carpenters at work on a given day, we can use the following formula:

Percentage = (Number at Work / Total Number) * 100

Given:

Total number of carpenters = 40

Number of carpenters at work = 31

Using the formula:

Percentage = (31 / 40) * 100

Calculating the percentage:

Percentage = 0.775 * 100

Percentage = 77.5%

Therefore, on that day, approximately 77.5% of the carpenters were at work.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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Answer:

ets Price of a DVD is fixed i.e. 15

and One CD price is 5 (Not fixed)

In First situation

2 DVDs and 1 CD cost = 35 as given

2 x 15 + 5 = 35

Lets one CD price is 7.5

In Second situation

2 x 15 + 2 x 7.5 = 45

Its mean CD price may be between 5 to 7.5

In asked scenario, Martin has 50

1 DVD and 3 CDs?

1 x 15 + 3 x 7.5 = 37.5

37.5 is lesser than 50

Step-by-step explanation:

Answer:

CD = $9

DVD = $13

Step-by-step explanation:

CD+DVD = 22

DVD = CD+4

substitute for DVD

CD +(CD+4) = 22

2CD+4 = 22

2CD = 18

CD = 9

DVD = 13

a. To generate the arrival time of the 10th traveler, we need to add up the arrival times of the first 9 travelers. Since the arrival times follow an exponential distribution with a mean of 2.6 minutes, we can use the Exponential Random Number Generator to generate 9 random numbers and sum them up. The sum will give us the arrival time of the 10th traveler.

b. To determine the number of travelers that arrive within the first hour when generating 100 travelers, we can use the Exponential Random Number Generator to generate 100 arrival times. Then, we count the number of arrival times that are less than or equal to 60 minutes (1 hour) to find the number of travelers that arrive within the first hour.

c. To create a histogram of travelers that arrive within specific time intervals, we can use the Exponential Random Number Generator to generate 1000 arrival times. Then, we count the number of arrival times that fall within each time interval (1 minute, 2 minutes, 3 minutes, 4 minutes, 5 minutes, or larger). Finally, we plot the counts of each time interval on a histogram to visualize the distribution of arrival times.

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a. The arrival time of the 10th traveler can be found by summing up the arrival times of the first 10 travelers. b. The number of travelers that arrive within the first hour can be determined by simulating the arrival times until the cumulative sum exceeds 60 minutes. c. A histogram can be created by counting the number of travelers whose arrival times fall into specific time intervals.

To generate travelers arriving one after the other according to an exponential distribution with a mean of 2.6 minutes, we can use the Exponential Random Number Generator.

a. To find the arrival time of the 10th traveler, we can generate 10 random numbers using the exponential distribution with a mean of 2.6 minutes. By summing up these 10 random numbers, we get the total arrival time of the 10 travelers. The arrival time of the 10th traveler is the cumulative sum of the 10 random numbers.

b. To determine the number of travelers that arrive within the first hour when generating 100 travelers, we can simulate the arrival times of the 100 travelers. We continue generating travelers until the cumulative sum of the arrival times exceeds 60 minutes (1 hour). The number of travelers generated before this point is the number of travelers that arrive within the first hour.

c. To create a histogram of the travelers that arrive within specific time intervals (1 minute, 2 minutes, 3 minutes, 4 minutes, 5 minutes, or longer), we can generate the arrival times of 1000 travelers. Then, we count the number of travelers whose arrival times fall into each interval and create a histogram based on these counts.

In conclusion, to answer the questions:
a. The arrival time of the 10th traveler can be found by summing up the arrival times of the first 10 travelers.
b. The number of travelers that arrive within the first hour can be determined by simulating the arrival times until the cumulative sum exceeds 60 minutes.
c. A histogram can be created by counting the number of travelers whose arrival times fall into specific time intervals.

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Given:

A figure of a right angle triangle.

To find:

The value of Tan R.

Solution:

Trigonometric Ratio: In a right angle triangle,

\(\tan \theta =\dfrac{Perpendicular}{Base}\)

Using the above trigonometric ratio in the given triangle, we get

\(Tan R =\dfrac{AD}{AR}\)

\(Tan R =\dfrac{13}{17}\)

Therefore, the correct option is C.

Answer:

You will earn $323.4 per week

Step-by-step explanation:

We are given:

Cost per hour = $13.20

Number of hours you work each week = 24.5 hours

We need to find how much money do you earn per week.

Amount of money you earned per week = Cost per hour * Number of hours worked

Amount of money you earned per week = 13.20 * 24.5

Amount of money you earned per week = 323.4

So, you will earn $323.4 per week

Answer:

inverse: f-(x)=x+3/5

Step-by-step explanation:

Set f(x)=x and x=y

x=y-3/5

isolate y by adding 3/5 to both sides

x+3/5=y

this is the inverse :)

Let's begin by identifying key information given to us:

Principal (p) = $690

Interest rate (r) = 7% = 0.07 per year

Time (t) = 8 years

The amount of money that Ji-yoon has in 8 years is calculated as shown below:

Answer:

E

Step-by-step explanation:

Have a good day :)

Fill the 3-gallon jug all the way.

Pour those 3 gallons of water into the 5-gallon jug.

Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).

Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.

Empty the 5-gallon jug.

Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.

Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1 gallon already in there, and leaves you with exactly 4 gallons.

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Fill the 3-gallon jug all the way.

Pour those 3 gallons of water into the 5-gallon jug.

Fill the 3-gallon jug all the way again, and pour as much as it takes to fill the 5-gallon jug (which is 2 gallons).

Now you have 5 gallons in the 5-gallon jug and 1 gallon in the 3-gallon jug.

Empty the 5-gallon jug.

Pour the 1 gallon in the 3-gallon jug into the 5-gallon jug.

Now fill the 3-gallon jug all the way, and pour all 3 gallons into the 5-gallon jug, which, added to the 1-gallon already in there, leaves you with exactly 4 gallons.

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Answer:

I believe its either 20 or 14

Answer:

x+2

hope this helps ;)

and cute pfp

Answer:

Step-by-step explanation:

x-1, because 3 fits the criteria, x>=1

Using the Riemann sum, we divide the interval [2, 4] into n equal subintervals, where Δx = (4 - 2) / n.

To find the expression for the area under the graph of the function f(x) = x^2 √(1/2x) as a limit, we can use the definition of a Riemann sum and take the limit as n approaches infinity of the sum from i = 1 to n.

The Riemann sum is a method to approximate the area under a curve by dividing it into smaller rectangular regions. In this case, we need to express the area under the graph of f(x) as a limit of a Riemann sum.

The expression for the area under the graph of f(x) as a limit is given by:

lim n → ∞ Σ i=1^n [f(xi) Δx]

In this formula, xi represents the ith subinterval, Δx represents the width of each subinterval, and f(xi) represents the value of the function at a point within the ith subinterval.

To calculate the Riemann sum, we divide the interval [2, 4] into n equal subintervals, where Δx = (4 - 2) / n. Then, for each subinterval, we evaluate f(xi) and multiply it by Δx. Finally, we sum up all these values as n approaches infinity.

However, without evaluating the limit or specifying the specific method of partitioning the interval, it is not possible to provide a more precise expression for the area. The given information is insufficient to calculate the exact value.

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Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the plot goes from 3 to 15 and 9 is in the middle so half the plot is less than 9 and the other half is greater than 9

The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.

Given

(x + 9)² =  x² + 18x +----

Required to find the missing term =?

It is given the form of ( a + b)² = a² + 2ab + b²

Putting the given values in the above form we get the value of the missing term from the equation

(x + 9 )² = x² + 2 × x ×9 + 9 × 9

              = x² + 18x + 81  

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Thus, we get the value of the missing term as 81.

Thus, the ideal selection is option C.

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Answer:

Use the quotient property of logarithms, logb(x)−logb(y)=logb(xy) log b ( x ) - log b ( y ) = log b ( x y ) . log3(4010) log 3 ( 40 10 ). Step 2.

A binomial random variable is the sum of repeated Bernoulli trials.

In statistics, a Bernoulli trial is a random experiment with two possible outcomes: success or failure, with a fixed probability of success denoted by p.

A binomial random variable is obtained by performing a sequence of n independent and identical Bernoulli trials, each with probability of success p.

The random variable X represents the number of successes that occur in these n trials. The binomial distribution describes the probability of obtaining k successes in n trials.

The probability of success in each trial can be different, but it should remain fixed for all the trials. The binomial distribution is commonly used in quality control, polling, and market research, among other fields.

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Step-by-step explanation:

Lidal : 9 rolls for £3.51

1 roll for 3.51/9 = £0.39

Oldi : 4 rolls for £1.52

1 roll for 1.52/4 = £0.38

so, Oldi has the best value for money when buying toilet rolls.

The circle equation a center (4, -7) and radius 9 is described by the equation (x - 4)2 + (y + 7)2 = 81.

A circle is the locus of all those point which are equidistant from a single point. The circumference of a circle is its furthest boundary. A circle with a radius of 9 and a center at (4, -7).

The equation must be solved to describe a circle with a center at (4, -7), and a radius of 9.

As we already know, a circle's standard form equation is

⇒ (x - h)² + (y - k)² = r²

Where r is the radius and (h, k) are the center's coordinates.

Given here are the values of (h, k) = (4, -7) and (r), which is 9.

Thus by entering the indicated values.

We get,

⇒ (x - 4)² + (y - (- 7))²  is equal to 92.

Equation of a circle: (x - 4)² + (y + 7)² = 81

As a result, the circle's equation is (x - 4) ² + (y + 7)

A circle's radius is 9, and its center is (4, -7).

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