Would like to see the step-by-step how to solve this!

Answer:

6

Step-by-step explanation:

2*3=6

By solving the expression 3×(1×2) , we get 58

"An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases."

We have

m × n denotes m+5n

3×(1×2)

Take 1×2

Here, m = 1 and n = 2

Write in m+5n format for expression 1×2

⇒ 1+5(2)               (∵ m+5n)

⇒ 1+10

⇒ 11

Then we have

3×11

Write in m+5n format for expression 3×11

Here, m = 3 and n = 11

⇒ 3+5(11)

⇒ 3+55

⇒ 58

Hence, By solving expression 3×(1×2) ,  we get 58

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The amount of money that it would cost to border the outside of the rectangular swimming pool using 1-yard tiles that cost $4 each is (16L - 32) dollars.

Mathematically, the perimeter of a rectangle can be calculated by using this formula;

P = 2(L + W)

Where:

From the information provided, the width of this rectangle is given by:

W = L - 4

Substituting the given variables into the formula, we have;

P = 2(L + W)

P = 2(L + L - 4)

P = 2(2L - 4)

P = 4L - 8

For the cost of this rectangular swimming pool, we have:

Cost, C = 4P

Cost, C = 4(4L - 8)

Cost, C = (16L - 32) dollars.

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To compute the surface area of revolution about the -x- axis over the interval [0,1] for y=−3, we can use the formula:

SA = 2π ∫[a,b] y√(1+(dy/dx)²) dx

where a=0, b=1, and dy/dx is the derivative of y with respect to x. In this case, y=−3, so dy/dx=0.

Plugging in these values, we get:

SA = 2π ∫[0,1] -3√(1+0²) dx
SA = -6π ∫[0,1] dx
SA = -6π[x]₀¹
SA = -6π(1-0)

SA = -6π

Since surface area cannot be negative, we take the absolute value of the result, which gives us:
SA = 6π

Therefore, the surface area of revolution about the -x- axis over the interval [0,1] for y=−3 is 6π.

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Answer: 32

Step-by-step explanation:

Multiply by reciprocal. -> y >or= 32

32=32

24<32

16<32

8<32

Answer:

The total value of the given expression is 12.

Step-by-step explanation:

(-2 + 1)² + 5(12 ÷ 3) - 9

First, do the expressions within the parentheses.

(-1)² + 5(4) - 9

Next, simplify the exponents.

1 + 5(4) - 9

Next, multiply 5 by 4.

1 + 20 - 9

Add 1 and 20 together.

21 - 9

Subtract 9 from 21.

12

So, the final answer to this equation is 12.

The simplification form of the number expression (-2 + 1)² + 5(12 : 3) - 9 is 12; the answer is 12.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

= (-2 + 1)² + 5(12 : 3) - 9

The ratio can be described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

= (-1)² + 5(12/3) - 9

= 1 + 5(4) - 9

= 1 + 20 - 9

= 21 - 9

= 12

Thus, the simplification form of the number expression (-2 + 1)² + 5(12 : 3) - 9 is 12; the answer is 12.

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The length of the arc will be 22 cm.

Length of the radius 'r'= 28 cm

central angle 'a' in degrees = 45

The formula for length of arc is 2πra÷360

The standard value of pie that we take is 22÷7

so after putting all the given values, we get,

2×22/7×28×45 = 22cm.

Radius is any line that we draw from the centre of the circle to its outside edge.

Arc is the part of the circle's circumference.

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Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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The constants that have to multiply to eliminate one variable from the system are 12 and 5.

The equations are

5x+13y = 232

12x + 7y = 218

Elimination Method

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with multiplication or division of coefficients of the variables

Both x term and y terms, choose x terms  and apply the elimination method

The coefficient of x in the first equation is 5 and 12 in the second equation

Coefficient is a number that is being multiplied by the variable. 2x+6x+14. The 2x, 6x, and 14 are terms because they are being added together. 2 and x; 6 and x are factors because they are being multiplied together. 2 from 2x and 6 from 6x are the coefficients because they are being multiplied by the variable.

To make it the same

Prime factorization

Prime factorization is a process of writing all numbers as a product of primes.

5 = 5×1

12 = 2×2×3

LCM (5, 12 ) = 2×2×3×5 = 60

Multiply the first equation by 12 and the second equation by 5

60x + 156y = 2784

60x + 35y = 1090

Subtract equation 2 from equation 1

121y = 1694

Eliminated x term

The constants that we have to multiply to eliminate one variable from the system are 12 and 5

The complete question is:

Which constants can be multiplied by the equations so one variable will be eliminated when the systems are added together? 5x + 13y = 232

12x + 7y = 218

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yes, the probabilities associated with each X are all positive and they all add up to 1.

What is probability?

The probability of an event can be calculated using the probability formula by simply dividing the favourable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anywhere between 0 and 1, as the favourable number of outcomes can never exceed the total number of outcomes.

For the given probability distribution, we have

A) The sum for all probabilities in the second column is 1. So, this is a probability distribution.

b) yes, the probabilities associated with each X are all positive and they all add up to 1 in the given table.

Hence, the probabilities associated with each X are all positive and they all add up to 1

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Answer:

\( \frac{7}{4} \pi\)

or

\( \frac{3}{4} \pi\)

Step-by-step explanation:

See attached. I know (very haphazard). But the basic method is to inverse the trig function. This gives you the position of the terminal angle. -45 degrees means that you turned 45 degrees clockwise and are in quadrant 4. This corresponds to an angle of rotation of 315 degrees counter clockwise which is what we are looking for since the specified domain is betwern 0 and 360 degrees or 0 and 2 pi.

The next thing to remember is that Tan is also negative in Quadrant 2 (using the ASTC rule). This corresponds to an angle of rotation of 180 - 45 = 135 degrees.

Hope that helps.

Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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Have a GREAT day!!!

Answer:

a, 6.63324958....

Step-by-step explanation:

Answer: A. 82

Step-by-step explanation:

The measure of <BAD can be found by simply adding 25(<BAC)+57(<CAD) = 82.

\(\mathrm{BAD}=\mathrm{BAC}+\mathrm{CAD}=25^{\circ}+57^{\circ}=82^{\circ}\).

Hope this helps.

(a) False
(b) True
(c) True
(d) True
(e) True
(f) True
(a) False: ∇f(a,b,c) is not parallel to the tangent plane to S at (a,b,c).

(b) True: ∇f(a,b,c) is perpendicular to the tangent plane to S at (a,b,c).

(c) True: If ⟨m,n,q⟩ is a nonzero vector on the tangent plane to S at (a,b,c), then ⟨m,n,q⟩×∇f(a,b,c) must be ⟨0,0,0⟩.

(d) True: If ⟨m,n,q⟩ is a nonzero derivative vector on the tangent plane to S at (a,b,c), then ⟨m,n,q⟩.∇f(a,b,c) must be 0.

(e) True: ∣∇f(a,b,c)∣=∣−∇f(a,b,c)∣

(f) True: Let u be a unit vector in R3. Then, −∣∇f(a,b,c)∣≤Duf(a,b,c)≤∣∇f(a,b,c)∣

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Answer:

3y-9<27

3y<27+9

3y<36

y<36/3

y=12

Answer:

no photo

Step-by-step explanation:

we need a photo to decide if answer is correct or not

the range in this set of data is 25 inches. To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

The range in a set of data is the difference between the maximum and minimum values in the set.

To find the range of snowfall amounts, we need to look at the line plot and identify the highest and lowest amounts of snowfall that were recorded.

Let's say that the highest amount recorded was 30 inches and the lowest amount recorded was 5 inches. Then the range would be:

range = highest amount - lowest amount

range = 30 - 5

range = 25

Therefore, the range in this set of data is 25 inches.

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Answer:

22,3 is the answer to the question

Answer:

It's D

Step-by-step explanation:

Therefore , the solution of the given problem of hexagon comes out to be 2700 meters square is the area of hexagon.

It is a polygon with five sides that is used in geometry. The inner angles of a straightforward pentagon add up to 540°. Simple or self-intersecting pentagons are both possible. A pentagram is a self-intersecting regular pentagon. Five angles and all sides of a regular pentagon are equal. It is referred to as an irregular pentagon if the side lengths and angle measurements do not match. All outside angles, as far as we are aware, balance out inside angles.

Here,

Given :

=> 300 meters

and

2400 meters

So,

=> area = 2400 +300 = 2700 meters square

Therefore , the solution of the given problem of hexagon comes out to be 2700 meters square is the area of hexagon.

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Answer:

f(x) = -1/2x + 2

Step-by-step explanation:

f(x) = ax + b

x = 0 , y = 2

y = 0 , x = 4

\(a = \frac{y'' - y'}{x'' - x'}\\a= \frac{2 - 0}{0 - 4} \\a= \frac{2}{-4} = \frac{-1}{2}\)

\(0 = \frac{-1}{2} . 4 + b\\0 = -2 + b\\b = 2\)

f(x) = -1/2x + 2

Step-by-step explanation:

3×3 = 9, so it's greater than 3

3×4/3 = 4, so it's greater than 3

3×5/5 = 3, so it's equal to 3

3x4/9 = 4/3, so it's less than 3

3x5/6 = 5/2, so it's less than 3

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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As a result, in order to make the most money, the widgets must be sold for $15.83, to the nearest cent.

The cost that consumers pay for a single piece of a good is known as the price at which it is sold. For instance, if a company produces lamps, the sales unit price is indeed the cost to customers of a single lamp. We must identify the x value that maximizes the profitability function y = -6x² + 190x - 826 in order to estimate the selling price for widgets that will yield the highest profit.

Calculus can be used in this process. The critical points, or maximum and lowest values of the function, can be found by taking the derivatives of a profitability function in relation to x and setting it to zero. The derivative test can then be used to assess if the crucial point is indeed a maximum or even a minimum. If we take the profit function's derivative with regard to x, we get:

y' = -12x + 190

By setting y' to zero and figuring out x, we obtain:

-12x + 190 = 0

x = 15.83

The critical value of x is therefore 15.83.

We must compute the second derivative of a profit function with respect to x to determine if this critical point is indeed a maximum or a minimum:

y'' = -12

The critical point at x = 15.83 corresponds to the greatest value of the money demand function since y" is negative. In order to optimize the profit, the widgets must be sold for $15.83, to the nearest cent.

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Convert it to a decimal and multiply is the best way to describe rate in simple interest formula.

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number. An interest rate indicates how expensive borrowing is or how lucrative saving is. Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount.

Given

The r in the simple interest formula stands for rate.

Convert it to a decimal and multiply is the best way to describe rate in formula.

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Answer:

1)C 2)A  3)D

Step-by-step explanation:

Answer: (a): 162 (b):

Step-by-step explanation: Since Mr.Siva had 54 cups sold which is 3/9 all we have to do is multiply 3/9 to the point where its a whole so 3/9 x 3 is 1, whatever we do with this fraction we do with the cups he sold, so 54 x 3 is 162. Since we know that he had a total of 162 cups, all we have to do is subtract how many cups he sold in the morning which was 54. So 162 - 54 is 108. Hope this help! :)

The point (4, 9) satisfies both inequalities, it is a solution to the system of inequalities.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

We can check if the point (4, 9) is a solution to the system of inequalities by substituting x = 4 and y = 9 into both inequalities and verifying if they are true.

First, we check y ≥ x + 2:

9 ≥ 4 + 2

9 ≥ 6

This is true, so (4, 9) satisfies the first inequality.

Next, we check y ≤ 2x + 1:

9 ≤ 2(4) + 1

9 ≤ 9

This is also true, so (4, 9) satisfies the second inequality.

Hence, the point (4, 9) satisfies both inequalities, it is a solution to the system of inequalities.

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