The radius of a circle is 333 units. What is the diameter of the circle?

The area of one lateral face of the triangular prism could be 20 ft².

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Since the base of the prism is triangular so there will be three lateral faces.

Dimensions of rectangular lateral faces are:

1)8 feet by 2.5 feet

2)8 feet by 6 feet

3) 8 feet by 6. 5 feet

Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²

Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²

Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²

Therefore, the area of one lateral face of the triangular prism could be 20 ft².

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Answer:

10125

from 10:30 to 11:15 is 45 mins so 225*45=10125

If Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am then she can talk 2025 words.

Two or more expressions with an equal sign is called as equation

Given that,

Liz is very talkative. She can speak 225 words in 5 minutes. At this rate, if she talks from 10:30 am to 11:15 am, we need to find number of words she can talk 10:30 am to 11:15 am.

We know that in 1 hour we have 60 minutes.

From 10:30 am to 11:15 am we have 45 minutes.

Now we can formulate an equation

225/5=x/45

Apply cross multiplication

225×45=5x

10125=5x

Divide both sides by 5.

x=2025.

Hence 2025 words she can talk from 10:30am to 11:15am.

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(a) The probability that the first pass he completes is the second pass is approximately 0.013.

(b) The probability that the first pass he completes is the first or second pass is approximately 0.019.

(c) The probability that he does not complete his first two passes is approximately 0.316.

To find the probability, we use the geometric distribution. In this case, the football player completes a pass 69.1% of the time, which means the probability of completing a pass is 0.691.

(a) To find the probability that the first pass he completes is the second pass, we are essentially looking for the player to fail on his first pass and then succeed on his second pass. The probability of failing the first pass is (1 - 0.691) = 0.309. Since the geometric distribution deals with the probability of the first success occurring on a specific trial, we use the formula P(X = k) = (1 - p)^(k-1) * p, where p is the probability of success. Plugging in the values, we get P(X = 2) = (0.309)^(2-1) * 0.691 ≈ 0.013.

(b) To find the probability that the first pass he completes is the first or second pass, we need to calculate the probability of succeeding on either the first or second pass. This can be calculated as P(X = 1) + P(X = 2), where P(X = k) is calculated using the geometric distribution formula. Therefore, P(X = 1) = 0.691 and P(X = 2) ≈ 0.013, giving us a total probability of approximately 0.691 + 0.013 ≈ 0.019.

(c) To find the probability that he does not complete his first two passes, we need to calculate the probability of failing on both the first and second pass. Using the complement rule, the probability of not completing a pass is (1 - 0.691) = 0.309. Therefore, the probability of failing on the first two passes is P(X = 1) * P(X = 2), which is approximately 0.309 * 0.309 ≈ 0.316.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

The height of the batholiths in meters will be 556.26 meters.

It is characterized as the process of converting one quantity unit into another, followed by division and multiplication by a conversion factor.

It is given that the given height in the feet is 1825.

We have to convert its unit into meters,

As we know that

1 feet = 0.3048 metere

1,825 feet=0.3048 × 1,825

1,825 feet=556.26 meters

Thus, the obtained value of the height of the batholiths in meters will be 556.26 meters.

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The multiplier of 0.5% is 0.005

A percentage multiplier is a number that is used to calculate a percentage of an amount

In order to determine 0.5% of a number we can multiply the number by a multiplier:

0.5% = 0.5/100 = 0.005

Therefore, 0.005 is the multiplier

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The given statement "The this pointer is not automatically passed to static member functions of a class." is false as static member functions can be called without creating an object of the class, and the "this" pointer is used to refer to the current instance of the class. Since no instance is required for static member functions, the "this" pointer is not applicable in this case.

In object-oriented programming, a class is a blueprint for creating objects, and member functions are functions defined within a class that can be called on objects of that class.

Static member functions, also known as class methods, are special member functions that are associated with the class itself rather than any specific object or instance of the class. They are declared using the "static" keyword.

Since static member functions do not operate on specific instances of the class, they do not have access to the "this" pointer. The "this" pointer is a hidden pointer that points to the current object instance, allowing non-static member functions to access the data members and other member functions of the object. However, static member functions do not have this pointer because they are not tied to any specific object.

Static member functions can only access static members of the class, which include static variables and other static member functions. They can be called using the class name itself, without creating an instance of the class. This is because they are not associated with any particular object but rather with the class as a whole.

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Answer:

S=2t

or

T=1/2 S

The vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0 is r(t) = <0, 2, 0> - t<1, -1, 0>.

To find a vector equation with parameter t for the line of intersection of the planes x + y + z = 2 and x + z = 0, we can solve the system of equations formed by the planes.
First, let's solve for y in terms of x and z from the equation x + y + z = 2. Rearranging the equation, we have y = 2 - x - z.
Now, substitute this expression for y in the equation x + z = 0. We have x + (2 - x - z) + z = 2, which simplifies to 2 - z = 2.
Solving for z, we find z = 0.
Substituting z = 0 into the equation x + z = 0, we have x = 0.
Now that we have the values of x, y, and z, we can form a vector equation for the line of intersection as follows:
r(t) =  = <0, 2 - x - z, 0> = <0, 2, 0> - t<1, -1, 0>.

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Answer:

7% of 4,300 is $301

$345 + $301 = $646

She would make $646.00

Brainly plz :))

a. The corresponding unit rate of Dog Cakes, Bark Bits, and Woofy Waffles for each package is $1.85 per pound, $2.25 per pound, and $1.90 per pound respectively.

b. The best buy using the unit rates found in Part A is $1.85 per pound.

Part A: We divide the cost by the size to determine the unit pricing for each package.

Dog Cakes: The unit price is $74 divided by 40 pounds or $1.85 per pound.

Bark Bits: $27 divided by 12 pounds equals $2.25 per pound.

Unit pricing for Woofy Waffles is $76 divided by 40 pounds or $1.90 per pound.

Part B: We compare unit pricing to get the best purchase. The greatest deal is the package with the lowest unit price. The greatest deal in this situation is Canine Cakes, which has the lowest unit price at $1.85 per pound.

Even though Canine Cakes and Woofy Waffles have the same size (40 pounds), Canine Cakes has a cheaper unit rate than Woofy Waffles. The product with the highest unit rate is Bark Bits, making it the most costly per pound. Canine Cakes is the greatest purchase based on unit prices.

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The question is -

Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food.

Canine Cakes Bark Bits Woofy Waffles

Size (pounds) 40 12 40

Cost $74 $27 $76

Part A: Calculate the corresponding unit rate for each package.

Part B: Determine the best buy using the unit rates found in Part A. Explain your answer.

Answer:

63 and 17 differ by 46

Answer:

64

Step-by-step explanation:

Surface area=2(wl+hl+hw)

w=4, h=4, l=2

2(4(2)+4(2)+(4)(4))

2(8+8+16)

2(16+16)

2(32)

64

Answer:

f(x)=-5/9x+46/9

Step-by-step explanation:

Find the coordinates:(2,4)(-7,9)

Find the slope:

m=-5/9

Find the y-intercept:

b=46/9 (or 5 1/9)

Put it together:

You get f(x)=-5/9x+46/9

Answer:

go to 1.6 on the number line

Step-by-step explanation:

then just divide 1.6 by 4 then find where that answer is on the number line

Considering the total of peas is 72, Sally's initial number of peas was 56.

Assuming the two brothers did not eat any peas, the total of peas both at the beginning and end is 72 peas.

By the end, Sally has 25 peas and Will has 72 peas.

Before the mother declared none of them would have dessert Sally had given Will half of her peas. This means 25 peas represent half of the peas:

25 x 2 = 50 peas        22 peas in Will's plate

Before this, Will had given Sally half of his peas

22 peas x 2 = 44 peas              28 peas on Sally's plate

Right before this, Sally gave Will half of her peas:

28 x2 = 56 peas                      16 peas on Will's plate

Let's check this answer:

S= 56            W= 16         -Beginning

S= 28            W=44         - Sally gives Will half of her peas

S= 50            W=22          - Will gives sally half of his peas

S=25             W= 47         -Sally gives will half of her peas

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The number of units manufactured at a cost of $6500 is 125.

Given, the cost of manufacturing x units is given by C(x) = x^2 - 70x + 4400.

We need to find the number of units manufactured at a cost of $6500, which means we need to find the value of x when C(x) = 6500.

So, we have:

x^2 - 70x + 4400 = 6500

x^2 - 70x - 2100 = 0

We can solve this quadratic equation by using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = -70, and c = -2100.

Plugging in these values, we get:

x = (-(-70) ± sqrt((-70)^2 - 4(1)(-2100))) / 2(1)

x = (70 ± sqrt(4900 + 8400)) / 2

x = (70 ± sqrt(13300)) / 2

x = (70 ± 115.28) / 2

x = 92.64 or -22.64

Since we are looking for a positive number of units, we can discard the negative solution.

Therefore, the number of units manufactured at a cost of $6500 is x = 125.

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The probability that the number pyramid will land on three and the spinner will stop on blue is 1/24.

To determine the probability that the number pyramid will land on three and the spinner will stop on blue, we need to know the total number of possible outcomes for both events and the number of favorable outcomes for the desired outcome.

Let's assume that the number pyramid has six sides numbered from one to six, and the spinner has four sections colored blue, red, green, and yellow. If both the number pyramid and spinner are fair and unbiased, each outcome is equally likely.

Number pyramid outcomes: There are six possible outcomes, namely numbers one to six.

Spinner outcomes: There are four possible outcomes, namely blue, red, green, and yellow.

To find the probability of both events happening together, we need to multiply the probabilities of each event occurring individually, assuming they are independent events (i.e., the outcome of one event does not affect the outcome of the other).

Probability of landing on three: Since the number pyramid has six sides, and we want to land on three, there is only one favorable outcome (three) out of the six possible outcomes. Therefore, the probability of landing on three is 1/6.

Probability of stopping on blue: Since the spinner has four sections, and we want it to stop on blue, there is only one favorable outcome (blue) out of the four possible outcomes. Therefore, the probability of stopping on blue is 1/4.

To find the probability of both events occurring, we multiply these probabilities:

Probability of landing on three and stopping on blue = (1/6) * (1/4) = 1/24

Therefore, the probability that the number pyramid will land on three and the spinner will stop on blue is 1/24.

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The probability that a homebuilder takes 200 days or less to complete a house is approximately 0.8238, or 82.38%.

Explanation :

To answer this question, we can use the concept of the z-score. The z-score tells us how many standard deviations a data point is from the mean.

Let's calculate the z-score for a completion time of 200 days:
z = (x - μ) / σ
where x is the completion time, μ is the mean, and σ is the standard deviation.
Plugging in the values, we get:
z = (200 - 176.7) / 24.8 = 0.93

To find the probability associated with this z-score, we can use a z-table or a calculator. In this case, the probability is 0.8238.

This means that there is an 82.38% chance that the completion time of a house will be 200 days or less, given that the completion time follows a normal distribution with a mean of 176.7 days and a standard deviation of 24.8 days.

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Answer: They are equal, but if you are buying something else with it,, say a case, the website

Step-by-step explanation:

Website:

1/4 +1/4 = 1/2

Store:

1/2

Answer:

the 50% off is the better deal

Step-by-step explanation:

200 x .50= 100 so on the first phone you save $100

the website you get 25% off so .25 x 200=50 so 200 - 50 =150 then you get another 25% off .25 x 150 =37.50 so 150 - 37.50 = 112.50.

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

In the given table, we are asked to find the linear regression equation and the correlation coefficient between X and Y.

To find the linear regression equation, we need to calculate the slope (b) and the y-intercept (a) using the given data points. We can use the formula:

b = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)

a = (Σy - bΣx) / n

where n is the number of data points, Σxy is the sum of the products of x and y, Σx is the sum of x values, Σy is the sum of y values, and Σx^2 is the sum of squared x values.

Once we have the values of a and b, we can form the linear regression equation ŷ = a + bx.

To calculate the correlation coefficient (r), we can use the formula:

r = (nΣxy - ΣxΣy) / √((nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2))

This formula calculates the covariance between X and Y divided by the product of their standard deviations.

By comparing the calculated values of the linear regression equation with the given options, we can determine the correct answer. Similarly, by comparing the calculated correlation coefficient with the given options, we can find the correct answer for Q25.

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Answer:

7781

Step-by-step explanation:

order of operations = PEMDAS P- Parentheses then E- Exponents then M- Multiplication then D- Division then A- Addition then S- Subtraction

(6² x| 6³ + 3 ) + 2² - 2

(36 x 216 + 3 ) + 2² - 2

(36 x 216 + 3 ) + 2² - 2

(7776 + 3 ) + 2² - 2

(7779 ) + 2² - 2

7779 + 4 - 2

7783 - 2

7781

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer:

D. is the correct option

Step-by-step explanation:

There is a total of 5 people, so we can either split the pizza cost into 5, or into 10 and multiply by 2 (since each guest ate 2 slices) We'll do the first option since it's simpler.

$17.49 ÷ 5 = 3.489 or rounded up to $3.50

Next, we'll add $1.19 to $3.59 which equals $4.69

Hope this helps!

Answer:

Step-by-step explanation:

In a case whereby Tia invests $2500 an interest rate of 5% compound quarterly the investment worth at the end of 5 years is $3205.

Taking into consideration the time value of money, anyone who puts money in a bank or other financial institution also receives additional revenue in terms of the recipient, known as interest.

This issue can be solved using the compound interest formula, which is represented as follows:

A = P(1 + r n t)

Future value is A.

4 times are compounded in a year, which is the number n.

t = number of years equals 5.

P is equal to 2500.

5 percent yearly interest rate equals 0.05.

A =2500 ( 1 + 0.05/4)^4*5

A=2500 ( 1 + 0.0125)^20

A= $3205

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The value of the correlation coefficient based on the provided R-squared is approximately 0.995562, indicating a strong positive linear relationship between leaf water potential and sap flow velocity for tree #2.

The correlation coefficient, denoted as "r," is a measure of the strength and direction of the linear relationship between two variables.

It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In the given least squares regression output, the value of R-squared (R-sq) is provided as 0.99115489.

R-squared represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s).

It is calculated as the squared value of the correlation coefficient (r).

To find the value of the correlation coefficient based on R-squared, we take the square root of R-squared:

r = √(R-sq)

Using the given value of R-squared (0.99115489), we can calculate the correlation coefficient:

r = √(0.99115489) ≈ 0.995562

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