Find the area of a rectangle with a length of 3 feet and a width of 2 7/8 feet.

The surface area of the pyramid is given by the equation A = 170.4 inches²

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be represented as A

Now , the equation will be

The slant height of the pyramid h = 6 inches

The side of the equilateral triangle = 12 inches

So , the perimeter of the triangle = 3 x side length

Substituting the values in the equation , we get

The perimeter of the triangle = 36 inches

The area of the base = 62.4 inches²

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Substituting the values in the equation , we get

Surface Area of Pyramid = 62.4 + ( 1/2 ) ( 36 x 6 )

On simplifying the equation , we get

Surface Area of Pyramid = 62.4 + ( 108 )

Surface Area of Pyramid = 170.4 inches²

Hence , the surface area of pyramid is 170.4 inches²

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Answer:

44.6 °F ≤ T ≤ 59 °F

Step-by-step explanation:

Firstly, we need to convert from celsius to Fahrenheit

That would be;

F =(9/5 * C) + 32

For 15

we have F = (9/5 * 15) + 32

F = 27 + 32 = 59 °F

for 7

we have F = (9/5 * 7) + 32

F = 12.6 + 32 = 44.6 °F

So we now write the inequality. That would be;

44.6 °F ≤ T ≤ 59 °F

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show (\(\sqrt{65})^{2}\) + \(b^{2}\) = \(9^{2}\) and solve for b. The square root and square cancel each other out, so you get 65 + \(b^{2}\) = 81.

Subtract 65 from both sides to get \(b^{2}\) = 16.

Then take the square root of both sides to get b = \(\sqrt{16}\) which equals 4.

Answer:

I believe the answer is $5.25

Answer:

4 inches.

Step-by-step explanation:

Since the shape is a square, each side length will be the same. This mean that you must find the square root of 36 to find the length of each side of the new square.

√36=6

Each side of the new square is 6. It says it was lengthened by 2 inches. Subtract 2 from 6.

6-2=4

Each side of the original square is 4 inches.

Hope this helps!

Please mark as brainliest if correct!

The coefficient matrix for the system is

[ 2  2 ]

[-4 -2 ]

The characteristic equation is

det(A - lambda*I) = 0

where A is the coefficient matrix, I is the identity matrix, and lambda is the eigenvalue. Substituting the values of A and I gives

| 2-lambda    2      |

|-4           -2-lambda| = 0

Expanding the determinant gives

(2-lambda)(-2-lambda) + 8 = 0

Simplifying, we get

lambda^2 - 6lambda + 12 = 0

Using the quadratic formula, we find that the eigenvalues are

lambda1 = 3 + i*sqrt(3)

lambda2 = 3 - i*sqrt(3)

To find the eigenvectors, we need to solve the system

(A - lambda*I)*v = 0

where v is the eigenvector. For lambda1, we have

[ -sqrt(3)   2      ][v1]   [0]

[ -4          -5-sqrt(3)][v2] = [0]

Solving this system, we get the eigenvector

v1 = 2 + sqrt(3)

v2 = 1

For lambda2, we have

[ sqrt(3)   2     ][v1]   [0]

[ -4         -5+sqrt(3)][v2] = [0]

Solving this system, we get the eigenvector

v1 = 2 - sqrt(3)

v2 = 1

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gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.

Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..

The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.

An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.

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Answer:

$2.34

Step-by-step explanation:

7.76+4.50+1.90+1.90+1.60=17.66

20-17.66=2.34

Answer:

answer is $2.34

Step-by-step explanation:

what you do is just $20.00-$7.76-$4.50-$1.90-$1.90-$1.60= $2.34

hope it helped

Answer:

\(\huge\boxed{\sf 288.9\ unit\²}\)

Step-by-step explanation:

Given that,

a = 29

b = 28

c = 22

= Sum of all sides

= 29 + 28 + 22

= 79

= P / 2

= 79 / 2

= 39.5

= \(\sqrt{s(s-a)(s-b)(s-c)}\)

Where s is semi-perimeter.

Put the given data:

= \(\sqrt{39.5(39.5-29)(39.5-28)(39.5-22)}\)

= \(\sqrt{39.5(10.5)(11.5)(17.5)}\)

= \(\sqrt{83468.4}\)

1001 many times will the digit 9 occur in the final product.

First of all,

13×7 × 11 =1001

The result is 4 digit number and hence when multiplied by 3 digit number, it is resulting in the number repetition.

             123× 1001 = 123123

             445 × 1001 = 445445

Based on this logic we can assume that,

             99 × 101 = 9999

             85× 101 = 8585

             20 × 101 = 2020.

2.  Any 3 digit number multiplied with 1001 will result in same pattern. for example:

              123 × 1001 = 123123

              997 × 1001 = 997997

              500× 1001 = 500500

Ans so on.

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Answer:

m=-4/5 and b=1

Step-by-step explanation:

The original formula is y=mx ±b and when asked to find those they are placed in the formula.

Since it is based on actual facts, the likelihood that the baseball player will get a hit in his subsequent at-bat is an empirical probability (the number of times the player got a hit out of the total number of times at bat).

A. Because it is based on observable data, the likelihood that the baseball player will get a hit in his subsequent at-bat is an empirical probability (the number of times the player got a hit out of the total number of times at bat).

b. Because it is based on equally plausible events in a limited sample space, the possibility that any one of the five students will be picked at random to serve as the spokesperson is a classical probability.

c. Because it is based on equally likely occurrences in a limited sample space, the chance of winning the $1 million prize in the Lotto Canada lottery is a classical probability.

d. The likelihood of an earthquake in northern California with a magnitude of 11.0 or higher during the next ten years is susceptible to interpretation because it is based on expert opinion rather on data collected from observation or equally plausible outcomes.

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Answer:

The second one the amount of monthly sales

Step-by-step explanation:

The 2000 is the total

Answer:

take out x+60 and = x+54 cross multiply for starters

The probability that the arrangement reads xoxox is 0.099

This question involves the advanced probability involving permutations.

So, whenever we have to get the probability of the events occurring together , we multiply their probabilities.

Here, I am denoting probability of x/o in n position as by 'p(x/o)n'.

So, we start from x in the first position, then p(x1)= 3/5=0.6

Now, for getting o in the second position , we have p(o2)= 2/4 =0.5 as the no. of tiles is now reduced to 4.

Similarly , for p(x3)= 2/3= 0.66

p(o4)= 1/2= 0.5

and in the last p(x5) = 1 since its a sure event as we are left with no tile now.

So, the total probability of xoxox is P= p(x1). p(o2).p(x3).p(o4).p(x5)

 = (0.6)x (0.5) x (0.66) x (0.5) x 1 = 0.099

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Answer:

she washes 5 cars per hour

Answer:

Sue washes 5 cars an hour

Step-by-step explanation:

25/5 = 5 cars an hour

Answer:

5 to 3

Step-by-step explanation:

15/3=5

6/3=3

Answer:

5:2

Step-by-step explanation:

15:6 can both be divided by 3, 15/3 = 5, 6/3 = 2, making the ratio,

5:2 hope i helped you (and could i have brainliest it would help me!)

Answer:

mean

Step-by-step explanation:

SOLUTION

From the question, we have been told that the total calories is 100

Calories from fat is 10

Percent of fat becomes

Hence the answer is 10.0%

The CLI option on the MODEL statement of an MLR analysis in PROC GLM produces confidence intervals for the mean response at all predictor combinations in the dataset. b

The CLI option stands for "Confidence Level of Intervals," and it specifies the level of confidence for the confidence intervals produced.

By default, the CLI option is set to 0.95, which means that the confidence intervals produced will have a 95% level of confidence.

These confidence intervals provide a range of values within which the true mean response at a particular combination of predictor values is expected to fall with a specified level of confidence.

They can be useful for assessing the uncertainty associated with the estimated mean response at different combinations of predictor values and for making inferences about the relationships between predictors and the response variable.

The CLI option, which stands for "Confidence Level of Intervals," defines the degree of confidence in the confidence intervals that are generated.

The CLI option's default value of 0.95 designates a 95% degree of confidence for the confidence intervals that are generated.

With a given degree of confidence, these confidence intervals show the range of values within which the real mean response for a specific set of predictor values is anticipated to fall.

They can be helpful for determining the degree of uncertainty surrounding the predicted mean response for various combinations of predictor values and for drawing conclusions on the connections between predictors and the response variable.

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Answer:

B

Step-by-step explanation:

The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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Answer:

The given function is k(t) = cos(2πt/3).

The general form of a cosine function is A*cos(Bx - C) + D, where:

Comparing this form to the given function, we can see that:

Therefore, the amplitude of k(t) is 1, the period of k(t) is 3, the phase shift of k(t) is 0, and the vertical shift of k(t) is 0.

Answer:

t = 0

Step-by-step explanation:

\(slope = \frac{f(2) - f(1)}{2 - 1}\)

  \(-2 = \frac{t - 2}{1}\\\\-2 = t - 2\\\\t = 0\)

After 3 years, all's accounts will have approximately $1302.84.

The interest earned on All's investment after 3 years is $102.84.

We have,

(a)

The formula for the future value of a CD with monthly compounding.

FV = P(1 + r/12)^(12n)

where:

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of years

In this case,

All invest $1200, the interest rate is 1.27% compounded monthly, and the investment is for 3 years.

Plugging these values into the formula, we get:

FV = 1200(1 + 0.0127/12)^(12*3) ≈ $1302.84

(b)

To find the amount of interest earned, we subtract the initial investment from the future value:

Interest = FV - P

= $1302.84 - $1200

= $102.84

Thus,

After 3 years, all's accounts will have approximately $1302.84.

The interest earned on All's investment after 3 years is $102.84.

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Answer:

Step-by-step explanation:

Answer:

0.33= 33/100

The solution to the system of equations is x = 5 and y = -1.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given a system of equation 2x - 6y = 16 and x + y = 4

Let's start with the second equation:

x + y = 4

We can solve for one of the variables, say y, by subtracting x from both sides:

y = 4 - x

Now we can substitute this expression for y into the first equation:

2x - 6y = 16

2x - 6(4 - x) = 16

Expanding and simplifying, we get:

2x - 24 + 6x = 16

Combining like terms, we get:

8x - 24 = 16

Adding 24 to both sides, we get:

8x = 40

Dividing both sides by 8, we get:

x = 5

Now we can substitute this value of x into either of the original equations to find y. Let's use the second equation:

x + y = 4

5 + y = 4

Subtracting 5 from both sides, we get:

y = -1

Therefore, The solution to the system of equations is x = 5 and y = -1.

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Step-by-step explanation:

2πr^2h

2*22/7*6*6*3

2*22/7*36*3

2*22/7*108

Answer:‘12.92

Step-by-step explanation:

Answer:

Step-by-step explanation:

$12.99

applying coupon

\(12.99(1-12\%) = 12.99*88\% = 11.4312\\11.4312 * (1+13\%) = 12.917=12.92\)