I am trying to create a study guide and I need step by step explanation on this question please

For this problem, we are given three cubes. Cube A is on top of cube B, the cube C is glued to the side of cube B. We need to calculate the surface area for the whole piece.

The surface area of a cube is given by the following:

Where "l" is the measurement of the length of the side on each cube.

To calculate the whole surface area, we need to calculate each cube individually then sum them. Let's start with cube A, since this cube is on top of Cube b, one of its faces shouldn't count for the surface area, therefore we have:

Now we need to calculate the surface area for cube C, which is very similar to cube A, as shown below:

Finally, we need to calculate the area for cube B, this one is different because we need to subtract one face from cube A and one for group C.

The total area is the sum of all areas:

The total surface area is equal to 2080 square inches.

Answer:

11.796

Step-by-step explanation:

2nd term

[tex] {1.3}^{2} = 1.3 + \frac{1.3}{ \frac{10}{3} } [/tex]

[tex] {1.3}^{2} = 1.69[/tex]

add first term

[tex]27.8 + 1.69 = 29.49[/tex]

times by 0.4 or ×2/5

[tex]29.49 \times \frac{2}{5} = \frac{58.98}{5} [/tex]

[tex] = 11.796[/tex]

we have the expression

The amount Rebecca has put into fixed savings each month to cover her annual expenses for life insurance, auto insurance and real estate taxes is $ 194.

Given that:-

Amount invested in life insurance = $ 255

Number of payments in life insurance = 4

Amount invested in real estate taxes = $ 455.35

Number of payments in real estate taxes  = 2

Amount invested in auto insurance = $ 66.21

Number of payments in auto insurance = 6

We have to find the amount Rebecca has put into fixed savings each month to cover her annual expenses for life insurance, auto insurance and real estate taxes.

Hence,

Total amount put by Rebecca in a year = 255*4 + 455.35*2 + 66.21*6 = 1020 + 910.70 + 397.26 = $ 2,327.96

Amount put by Rebecca in a month = 2327.96/12 =  $ 193.997 ≈ $ 194

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Given:

length of the piece of string = 3/4 inches

length of the piece that we need = 1/8 inches

The number of smaller piece that we can get from the original piece of string can be calculated using the formula:

Applying this formula:

If the number of pieces is represented as n:

Answer:

a) The probability of exactly 21 particles arrive in a particular one minute period is 0.0426

b) The probability of exactly one particle arrives in a particular one second period is 0.2042

Probability is the ratio of the total number of conceivable outcomes to the number of outcomes in an exhaustive set of equally likely alternatives that result in a particular occurrence.

The probability is given by:

P(X=x) = (e⁻ⁿ nˣ)/x!

a)  The probability of exactly 21 particles arrive in a particular one minute period is given by :

P(X=21) = (e⁻16 × 16²¹)/21!

P(X=21) = (2.176746853×10¹⁸)/51090942171709440000

P(X=21) = 0.0426

b) The probability of exactly one particle arrives in a particular one second period is :

1 min = 16 particles

1 sec = 16/60 particles

1 sec = 0.2667 particles

P(X=1) = (e⁻⁽¹⁶/⁶⁰⁾ × (16/60)¹)/1!

P(X=1) = 0.2042

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SOLUTION

We want to solve the expression

Now, use the minus sign to multiply the other part

That is

We have

Hence the answer is 2y - 5

Jane, Chau, and Deshaun have $22, $16 and $44 respectively in their wallets.

let x represent represent the amount of Jane.

let Y represent represent the amount of chau.

let z represent represent the amount of Deshaun.

Jane, Chau, and Deshaun have a total of $82"  can be represented as

x + y + z = $82 .......(1)

Deshaun has 4 times what Jane has. It  can be represented mathematically as

y = 2x     .......(2)

Chau has $6 less than Jane. It can be represented mathematically as

z= x- 6   .......(3)

we can now solve the equations using the substitution method

substitute equation (2)  and (3)  into equation (1)

x + y + z = $82

x + 2x + x-6 = $82

4x -6 = $82

4x - 6  = $82

4x = $82 + 6

4x = 88

x = $22

from equation 2

y = 2x

y = 2 x 22 = $44

z = x- 6

z = 22 - 6

z=$16

Jane, Chau, and Deshaun have $22, $16 and $44 respectively in their wallets.

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EXPLANATION

Since we have the function:

Graphing this an the transformation into a graph calculator we have:

We can see that the transformated function is translated 2 units to the right, and that It is also translated 4 units down.

Thus, the transformations are the following:

g(x) is the graph of f(x) translated 2 units to the right and 4 units down.

To get 1 cup of pf trail mix, we need to mix 2 parts of cashew and 3 part of golden raisin. This means that to make one cup of pf trail mis, we are using 5 parts in total (2 cashew+3 golden raisin). Then, this means that out of one cup the exactly amount of golden raisin is 3/5 of the cups we have. So, having this fraction in mind, we only need to multiply the total number of cups to calculate the parts we are using. In this case, we have 30 cups. So if we want to calculate the parts of golde raisin we multiply 30 by the previous fraction. That is

So to make 30 cups of pf trail mix, jose needs 18 parts.

According to the given diagram the sum of ABD, DBE and EBC must be 90. Use this information to find the measure of DBE:

The measure of DBE is 24 degrees.

The required point-slope form of the equation of the line exists y + 9 = 4/3 (x + 9).

A slope of a line exists the change in the y coordinate with respect to the change in the x coordinate. The net change in the y-coordinate exists defined by Δy and the net change in the x-coordinate exists defined by Δx. Where “m” exists the slope of a line. So, tan θ to be the slope of a line.

The slope of the line exists a tangent angle created by line with horizontal.

i.e. m = 4/3 where x in degrees.

The point-slope of the equation of the line is given by,

y - y₁ = m(x - x₁)

Put the values in the above equation of the line

y - (-9) = 4/3 (x - (-9))

y + 9 = 4/3 (x + 9)

Therefore, the required point-slope form of the equation of the line is y + 9 = 4/3 (x + 9).

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Answer:

The design fee is $40.

Step-by-step explanation:

The y intercept means the cost when the number of shirts ordered is 0. This means that in the context of this problem the y intercept is the design fee.

Given

A graph of a polynomial with the real coefficients.

To find:

a) The intervals in which the function is increasing is,

b) The value of x at which the unction has local minima.

From the graph shown in the figure, there is only one local minimum at x=-2.

c) The sign of the functions leading coefficient is positive.

Since the graph is moving upwards.

d) The degree of the function is 5.

The expressions that represent a quadratic expression in factored form is (x + 1)(x − 2).

Quadratic expression  can be described as the mathematical expression that posses  the variable which have highest power of 2.

It should be noted that the quadratic equation is usually expressed in the form ax^2 + bx + c where the abc are the known numbers in the equation  that will be used in the calculation of the factors of the equation and in the quadratic equation the number a will not be equal to zero in the equation.

Therefore, option C is correct.

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Given

Client takes 1 1/2 of medication one time

Find

how many tablets will client have been taken at the end of 4 days.

Explanation

Client takes medication one time = 1 1/2

Client takes medication three times =

medication for 4 days =

Final Answer

The client takes 18 tablets at the end of four days.

It is a cylinder.

1.- Calculate the area of the base and the top

Area = 2*pi*r^2

Area = 2*3.14*5^2

Area = 157 cm^2

Total area of the base and top = 2 x 157 = 314 cm^2

2.- Calculate the perimeter of the circle.

Perimeter = 2*pi*r

Perimeter = 2*3.14*5

Perimeter = 31.4 cm

3.- Calculate the lateral area

Lateral area = 5 x 31.4

Lateral area = 157 cm^2

4.- Calculate the total area = 157 + 314

= 471 cm^2

5.- Result

D. None of the above

since the student do 32 questions in a time of 28 minutes, then the rate of response is 32/28=8/7 questions/minute ,then the students will be able to complete 160 questions in 20(7)= 140 minutes

Answer:

perpendicular

Step-by-step explanation:

Square

Rectangle

Right triangle

Cube

Rectangular prism

are all examples of perpendicular shapes

 i hope this helped

have a good day ^^

is choice a

iner loop Limacon

Given:

The sum of measure of angle m and r is 90 degrees.

GIVEN:

We are given the following polynomial;

Required;

We are required to sketch the graph of the function. Also, to use the synthetic division and the remainder theorem to find the zeros.

Step-by-step solution;

We shall begin by sketching a graph of the polynomial function.

From the graph of this polynomial, we can see that there are four points where the graph crosses the x-axis. These are the zeros of the function. One of the zeros is at the point;

That is, where x = -1, and y = 0.

We shall take this factor and divide the polynomial by this factor.

The step by step procedure is shown below;

Now we have the coefficients of the quotient as follows;

That means the quotient is;

We can also divide this by (x - 1) and we'll have;

We now have the coefficients of the quotient after dividing a second time and these are;

The remaining two factors are the factors of the quadratic expression we just arrived at.

We can factorize this and we'll have;

The zeros of this polynomial therefore are;

Therefore;

ANSWER:

Since we have a markdown of $1.30 we just need to substract this amount to the original price, then we have:

Therefore the reduced price is $5.20

Answer:

4x + 4y ≤ 80

6x + 8y ≤ 100

Explanation:

Let's define x as the number of children and y as the number of adults.

For Matinee tickets, they spend $4 per child and $4 per adult, so if the total is no more than 80, we get:

4x + 4y ≤ 80

In the same way, they spend $6 per child and $8 per adult on the evening tickets, so

6x + 8y ≤ 100

Therefore, the system is

4x + 4y ≤ 80

6x + 8y ≤ 100

Part A

we have that

Both students verify the identity properly

student A ----> expand the left side of the identity

student B ----> expand the right side of the identity

but the result is the same

both students proved that the given equation is an identity

Part B

and

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

Given,

The points which the line passes, (x₁, y₁) = (7, 6)

Slope of the line, m = 0

We have to find the equation of the line:

We know that,

y - y₁ = m(x - x₁)

So,

y - 6 = 0(x - 7)

y - 6 = 0

y = 6

That is,

The equation of the line that passes through the point (7, 6) with slope 0 is y = 6

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Saving account that pays 5% interest compounded daily is much better than the account that pays 5% interest compounded semiannually.

As given in the question,

Interest rate = 5%

Types of account = Saving account

Pays the interest in two forms :

Compounded semiannually and Compounded daily

Saving account that pays 5% interest compounded daily is much better than the account that pays 5% interest compounded semiannually.

Reason :

Frequency of interest given on compounded daily is much higher and increase the amount much faster as compare to compounded semiannually.

When interest compounded daily generate 365 compounding periods a year, where as compounded semiannually generates two times in a year.

Therefore, saving account that pays 5% interest compounded daily is much better than the account that pays 5% interest compounded semiannually.

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We need to check each of the options to determine which equation is true

x = -2

equation1: 2.4x + 2.6 = 17

2.4(-2) + 2.6 = 17

-4.8 + 2.6 = 17

-2.2 = 17

equation2: 16 = -8(-6 - 2x)

16 = -8(-6 -2(-2))

16 = -8(-6+4)

16 = -8(-2)

16 = 16

equation 3: 3

Answer:

See graph

Step-by-step explanation: