What is the volume of the rectangular prism?a prism has a length of 8 inches, width of 2 inches, and height of 12 and one-half inches.16 in.322 and one-half in.3200 in.3 212 and one-half in.3

Answer:

252 in²

Step-by-step explanation:

The figure can be considered as a rectangle with the rectangle on the right to be added on and the rectangle on the left to be subtracted.

Area of rectangle with length 12 and width 15 + 6 = 21 is

A = length × width = 12 × 21 = 252 in²

Since the areas of the 2 rectangles to be added / subtracted are equal

both 6 × 3 = 18 in² , then they can be ignored

Then area of figure = 252 in²

if the shopkeeper increased the price of hat by 5% and now the rate is $33.60 the hat cost $32 when it first went on sale.

Let the original price of the hat be x dollars.

After the increase of 5%, the new price of the hat is:

x + 0.05x = 1.05x

We are told that the new price of the hat is $33.60, so we can write:

1.05x = 33.60

To solve for x, we divide both sides by 1.05:

x = 32

Therefore, the original price of the hat was $32.

Price increase is a common practice for businesses to adjust their pricing strategies according to market trends or to cover their increased costs. It is important for businesses to carefully consider the impact of a price increase on their customers, as it may affect their sales volume and profitability. The percentage of the price increase should be decided based on various factors such as production costs, competition, and customer demand. Communicating the price increase to customers in a clear and transparent manner can help to maintain customer trust and satisfaction. In addition, businesses may consider offering promotional discounts or value-added services to offset the impact of the price increase.

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The typical concentration of hydrogen ions in human saliva is of H* = 10^(-7), using the logarithmic equation.

The logarithmic equation in the context of this problem is presented as follows:

pH = -log(H*).

In which the parameter H* is the concentration of hydrogen ions of the substance.

For the human saliva, the pH has a numeric value as presented as follows:

pH = 7.

Hence the concentration is calculated as follows:

7 = -log(H*).

log(H*) = -7.

The power of 10 and the logarithm are inverse functions, hence the power of 10 can be inserted into both sides of the equality to isolate the concentration variable H*.

10^(log(H*)) = 10^(-7)

H* = 10^(-7).

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Answer:yes

Step-by-step explanation:0 and 0 means that those numbers dont move that distance apart 1 that 1 X 1 it seems so it would equal 1 2 and 4 2 x 2 = 4 and 3 X 3 equals 9

To eliminate the parameter in the pair of parametric equations x = t - 3 and y = t^2 + 5, the correct equation is y = x^2 - 6x - 14.

To eliminate the parameter t and express y in terms of x, we can substitute the expression for x in terms of t into the equation for y.

Given x = t - 3, we can rearrange it to obtain t = x + 3.

Substituting this value of t into the equation for y = t^2 + 5, we get:

y = (x + 3)^2 + 5.

Expanding this equation, we have:

y = x^2 + 6x + 9 + 5,

y = x^2 + 6x + 14.

Therefore, the correct equation that eliminates the parameter t and expresses y in terms of x is y = x^2 + 6x + 14.

The other options presented (Oy = x^2 - 14, Oy = x^2 + 6x + 14, Oy = x^2 + 14) are not correct as they do not correspond to the elimination of the parameter t and the substitution of x in terms of t in the equation for y.

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Answer:

1. V=490 yds^3

2. V=151.25 in^3

3. V=51 m^3

4. V=435 cm^3

5. V= 837 ft^3

Step-by-step explanation:

Just multiply all of the values if that helps :)

If the perimeter of the train ticket is 60 centimeters and it's length is 17 centimeter long it's height is 13 centimeter

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

To find the perimeter of a rectangle we add all this sides together. This means that the perimeter of a rectangle is given as ;

P = l+l+w+w

P= 2(l+w)

60 = 2( 17+w)

60 = 2( 17+w)

17+w= 60/2

17+ w = 30

w = 30-17

w = 13cm

Therefore the height of the train ticket is 13cm

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Answer:

\( \: \)

One Square Feet is equivalent to 0.0022956820843815 Decimal.

Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.

We are going to use very simple Square Feet to Decimal conversion formula for that.

see the calculation example given below.

Convert 56 Square Feet to Decimal ⇒ 56 Square Feet

= 56 × 0.0022956820843815 = 0.12855819672536 Decimal

The new image would be smaller in sample size than the original image.

For example, if the scale factor is 0.5, the new image will be half the size of the original image. To determine the exact size of the new image, the scale factor is multiplied with the width and height of the original image. For example, if the original image is 200 x 100 pixels, and the scale factor is 0.5, the new image will be

(200 x 0.5) = 100 x (100 x 0.5)

= 50 pixels.

The same concept applies when the scale factor is a decimal. For example, if the scale factor is 0.75, the new image will be three-quarters the size of the original image. In this case, the new image would be

(200 x 0.75) = 150 x (100 x 0.75)

= 75 pixels.

In summary, when the scale factor is less than 1, the new image will always be smaller than the original image, depending on the scale factor. The exact size of the new image can be determined by multiplying the width and height of the original image with the scale factor.

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Answer:

between 4 and 20......................

The number should be bigger than difference of both sides and smaller than sum of both sides.

So

12+8=20

12-8=4

So it should be 4<x<20

which means between 4 and 20

Do you really have brown eyes?

Answer:

4 < x < 20

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

12 - 8 < x < 12 + 8

4 < x < 20 ← range of values for third side

Answer:

$900

Step-by-step explanation:

first you need to find the unit rate by dividing 270 by 3, which the answer would be 90. now we have $90. now we need to find the amount for 10 people, and we already have the unit rate. with the 90 dollars, we multiply it by 10. your final answer would but $900 for 10 people. hope this helps!

Answer:

Step-by-step explanation:

Cross multiply and solve for x:

Answer:

4.71 x 10^4

I did maf

Answer: It should be 4.71 x 104.

The probability of at least 15% of 100 Indianapolis residents supporting the patriots in gaint match Super Bowl XLVI is 0.293.

By using the normal distribution method, a mean u and standard deviation σ,

The ratio of people who wants the Giants to eat patriots is p = 0.90,

The assumed sample size denoted by n is 100,

and their distribution's mean is u = 0.90,

by using the standard deviation formula is

σ = √(p(1 - p) ÷ n),

σ = √(0.90(1 - 0.90) ÷ 100),

σ = 0.03,

we get that the standard deviation is σ = 0.03

Here the probability that at least 15% of 100 Indianapolis residents encouraged the Patriots in the gaint match  Super Bowl XLVI is

P(X > 0.15) = 1 - P((X - u) ÷ σ) > (0.90 - 0.15) ÷ 0.03))

The significant value of X,

X - u ÷ σ = Z

we get,

P(X > 0.75) = (Z<5)-1

P(X < 0.75) = 1.293 - 1

P(X < 0.75) = 0.293

By solving we get, The probability of at least 15% of 100 Indianapolis residents supporting the patriots in gaint match Super Bowl XLVI is 0.293.

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A relation between sets is referred to as a function when there is exactly one output for each input.

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

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Answer:

Step-by-step explanation:

Ans .: The dimensions of the container that will minimize the cost are a base with sides of length 16.7 cm and a height of 8.35 cm.

To minimize the cost of the container, we need to find the dimensions that will use the least amount of material. Let's call the length of one side of the square base "x" and the height of the container "h".

The volume of the container is given as 2000 cm^3, so we can write:

V = x^2h = 2000

We need to find the dimensions that will minimize the cost, which is determined by the amount of material used. We know that it costs twice as much per square centimeter to make the top and bottom as it does the sides.

Let's call the cost per square centimeter of the sides "c", so the cost per square centimeter of the top and bottom is "2c". The total cost of the container can then be expressed as:

Cost = 2c(x^2) + 4(2c)(xh)

The first term represents the cost of the top and bottom, which is twice as much as the cost of the sides. The second term represents the cost of the four sides.

To minimize the cost, we can take the derivative of the cost function with respect to "x" and set it equal to zero:

dCost/dx = 4cx + 8ch = 0

Solving for "h", we get:

h = -0.5x

Substituting this into the volume equation, we get:

x^2(-0.5x) = 2000

Simplifying, we get:

x^3 = -4000

Taking the cube root of both sides, we get:

x = -16.7

Since we can't have a negative length, we take the absolute value of x and get:

x = 16.7 cm

Substituting this into the equation for "h", we get:

h = -0.5(16.7) = -8.35

Again, we can't have a negative height, so we take the absolute value of "h" and get:

h = 8.35 cm

Therefore, the dimensions of the container that will minimize the cost are a base with sides of length 16.7 cm and a height of 8.35 cm.

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Answer:

Either A or D

Step-by-step explanation:

I got It right Hope it helps this you guys

Answer:

21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

7÷\(\frac{1}{3}\)

7*\(\frac{3}{1}\)

21

Answer:

20t+10L>=190

Step-by-step explanation:

No, x - 3 is not a factor of the polynomial x³ + 4x² + x - 6. The remainder of the synthetic division is 42, indicating that the binomial does not divide the polynomial evenly.

To determine whether the binomial x - 3 is a factor of the polynomial x³ + 4x² + x - 6, we can use synthetic division. Synthetic division allows us to divide the polynomial by a linear binomial and check if the remainder is zero.

The coefficients of the polynomial are:

a = 1

b = 4

c = 1

d = -6

We set up the synthetic division as follows:

        3 |   1    4    1   -6

           |___________

We bring down the coefficient of the highest power term, which is 1:

        3 |   1    4    1   -6

           |___________

                1

Next, we multiply the divisor, 3, by the value we just brought down and write the result below the next coefficient (4):

        3 |   1    4    1   -6

           |___________

                1

            3

We add the result to the next coefficient:

        3 |   1    4    1   -6

           |___________

                1

            3

           ______

                4

We repeat the process by multiplying the divisor (3) by the new result (4) and write the product below the next coefficient (1):

        3 |   1    4    1   -6

           |___________

                1

            3

           ______

                4

           12

We add the result to the next coefficient:

        3 |   1    4    1   -6

           |___________

                1

            3

           ______

                4

           12

           ______

               16

Finally, we multiply the divisor (3) by the new result (16) and write the product below the last coefficient (-6):

        3 |   1    4    1   -6

           |___________

                1

            3

           ______

                4

           12

           ______

               16

           48

We add the result to the last coefficient:

        3 |   1    4    1   -6

           |___________

                1

            3

           ______

                4

           12

           ______

               16

           48

           ______

               42

The remainder is 42, which is non-zero. Therefore, x - 3 is not a factor of the polynomial x³ + 4x² + x - 6.

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Answer:

take 25 degree as reference angle

let hypotenuse be x

using cos rule

cos 25=adjacent/hypotenuse

0.90=4/x

0.90x=4

x=4/0.90

x=4.44

Step-by-step explanation:

Answer:

620 cm2

Step-by-step explanation:

The base of the prism is a rectangle with 24 cm x 10 cm, so the base area is:

B = 24 * 10 = 240 cm2

The cross section is a triangle with base = 24 cm and height = 5 cm, so its area is:

C = 24 * 5 / 2 = 60 cm2

The sides are rectangles with 10 cm x 13 cm, so their area is:

D = 10 * 13 = 130 cm2

The total surface area is:

S = B + 2C + 2D = 240 + 2*60 + 2*130 = 620 cm2

The integral that needs to be evaluated is given by:∫36f(x)(25 – 10)30 dxTo solve the above integral, the following substitution can be made:u = x5 – 10Differentiating both sides of the above equation with respect to x gives:du/dx = 5x4Integrating both sides of the above equation with respect to x gives:dx = du/5x4

Substituting the above equation in the original integral,

we get:∫36f(x)(25 – 10)30 dx= ∫36f(x) (25 – u)30 (dx/5x4)Integrating both sides of the above equation with respect to u, we get:(1/5) ∫36f(x) (25 – u)30

Substituting the value of u back in the above equation,

we get:(1/5) ∫36f(x) (25 – (x5 – 10))30 dx(1/5) ∫36f(x) (35 – x5)30 dx

This can now be integrated using the power rule of integration to give:(1/5) * (36/6) * (35x – (1/6)x6) + C, where C is the constant of integration

Therefore, the final answer is: (6/5) * (35x – (1/6)x6) + C, where C is the constant of integration.

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fractions with the same denominator added together

You must add the numerators and keep the same denominator when adding fractions with the same denominator. Since the denominators of the two fractions are the same, we must add the numerators while maintaining the same denominator, which is 4.

What are the parts of fraction?

A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

The number below the bar is called the denominator . It tells the number of equal parts into which the whole has been divided. The number above the bar is called the numerator. It tells how many of the equal parts are being considered.

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The function values are:
a) g(102) = 207
b) g(1-42) = -79
c) g(1-72) = -139
d) g(182) = 369
e) g(1a+22) =  2a + 49
f) g(1a2+2) = 2a2 + 9

The problem is asking to evaluate the function g(x) at specific values of x. To find g(102), for example, we substitute 102 for x in the expression for g(x) and simplify:

g(102) = 2(102) + 5 = 207

Similarly, for g(1-42), we substitute -42 for x:

g(1-42) = 2(-42) + 5 = -79

g(1-72) = 2(1-72) + 5 = -139

g(182) = 2(182) + 5 = 369

For g(1a + 22), we substitute "a+22" for x:

g(1a+22) = 2(a+22) + 5 = 2a + 49

And for g(1a²+2), we substitute "a²+2" for x:

g(1a²+2) = 2(a²+2) + 5 = 2a² + 9

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Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.

Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.

Complete question:-

How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?

a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size

b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size

c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size

d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size

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Revenues, expenses, and the dividends account are closed through the Income Summary account. The statement is false.

Revenues, expenses, and the dividends account are not closed through the Income Summary account. The Income Summary account is used during the closing process in accounting to transfer the balances of revenue and expense accounts to the retained earnings account. The purpose of the Income Summary account is to summarize the net income or net loss for the period.

After transferring the balances to the Income Summary account, the final step of the closing process involves closing the Income Summary account directly to the retained earnings account. The dividends account, on the other hand, is closed directly to the retained earnings account as well. Therefore, revenues, expenses, and the dividends account are closed directly to the retained earnings account, not through the Income Summary account.

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Answer:

It's arithmetic

Step-by-step explanation:

For n=0 you got 4

For n=1 you got 4-1/6

For the next element the value will be the current element minus 1/6

To solve:

We multiply the denominator by 5:

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then: