I need help figuring out the answers.

Step-by-step explanation:

First, let's find the area of the rectangular sides using the dimensions given.

16 x 7 = 112 [tex]in^2[/tex]

112 is just for one rectangle. We need to find the area for 3 rectangles.

112 x 3 = 336 [tex]in^2[/tex]

Now, we need to find the area of the triangle. Using the formula let's find the area.

bh/2

7 x 8/2

56

Our answer is 56 as we find the area of two triangles and 28 x 2 equals 56.   To find the prism's total area, we have to add the areas altogether.

56 + 336 =

Answer: 392 [tex]in^2[/tex]

The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.

A. 9 unit.

The firm maximizes its profit where MR equals MC and here at quantity 9, MR equals MC.

B. 7.25

In perfect competition, the price is equal to MR. Because firms are price takers. So the price will be 30.

Profit per unit =Price - ATC

=30-22.75

=7.25

C. 65.25

Profit =(Price - ATC) *quantity

=(30-22.75)*9

=65.25

A market having perfect competition involves buyers and sellers exerting no significant impact on product pricing. Such markets are composed of numerous parties possessing alike items, with easy ingress and egress from the same domain.

Read more about profit here:

https://brainly.com/question/1078746

#SPJ1

Answer:

Step-by-step explanation:

The b is area of the base which is l x w

so if you substituted in you get V= l x w x h

So they are the same

Answer & Step-by-step explanation:

The Radius should be about 2.228 and the Diameter is 4.456. The area of the circle is 15.59

Based on their unit rates (hourly rates), William earns $3.20 less per hour than Carson.

The unit rates can be determined as the quotients of the total earnings divided by the number of hours worked by each worker.

Total earnings in 21 hours = $451.50

The total number of hours worked = 21 hours

Hourly rate = $21.50 ($451.50 ÷ 21)

Hours (x)  Earnings (y)   Hourly Rate

   8             $146.40        $18.30 ($146.40 ÷ 8)

 32             $585.60      $18.30 ($585.60 ÷ 32)

 36             $658.80      $18.30 ($658.80 ÷ 36)

40             $732.00       $18.30 ($732.00 ÷ 40)

William's hourly rate = $18.30

Difference between Carson's and William's hourly rate = $3.20 ($21.50 - $18.30)

Thus, judging from their hourly rates, we can conclude that Carson earns more per hour than William.

Learn more about the unit rates at https://brainly.com/question/4895463.

#SPJ1

William's Earnings

Hours (x)  Earnings (y)

   8             $146.40

 32             $585.60

 36             $658.80

40             $732.00

Answer:

40

Step-by-step explanation:

Perimeter of rectangle = 2(l + w)

L= 12

W = 8

Let's solve

2(12 + 8) = 40

So, the perimeter of the rectangle is 40

Answer:

-------------------------

Convert the equation in below steps to solve for x:

Divide both sides by a:

Log both sides with base b:

Here is the answer:

The height of the rectangular pyramid is calculated as:

h = 17 units.

The formula for calculating the volume of a rectangular pyramid is expressed as:

Volume (V) = 1/3 * lwh, where:

Given the following:

l = 9 units

w = 14 units

Volume of rectangular pyramid (V) = 714 cubic units.

Plug in the values:

714 = 1/3 * 9 * 14 * h

714 = 42h

714/42 = h

h = 17 units.

Learn more about the rectangular pyramid on:

https://brainly.com/question/27270944

#SPJ1

Answer:

the resale value after 4 years would be 11,812.5

Step-by-step explanation:

I'm sorry if this is wrong this is based on what I know :)

Answer:

The answer to your question is $8,384.77

Step-by-step explanation:

Average annual value lost: $12,913.57

First year depreciation: $6,625.00

Total depreciation: $18,115.23

Total depreciation percentage: 68.36%

Value of vehicle at end of ownership period: $8,384.77

I hope this helps and have a wonderful day!

The ship moved almost 72.5 degrees north of west to arrive at its destination.

1.: According to a trigonometrical rule, the square of a side in a plane triangle is equal to the sum of the squares of the other sides minus twice that amount plus the cosine of the angle between the other two sides.

BC² is equal to AB² + AC² - 2AB AC cosx

BC² = 17657 - 22068 cosx BC² = 942 + 1192 - 2 94 119 cosx

BC ≈ 105.2

cos(x) = (2 BC AB) / (BC² + AB² - AC²)

cos(x) = (105.2² + 94² - 119²) / (2 × 105.2 × 94)

cos(x)=0.301 = 72.5 degrees

As a result, the ship moved almost 72.5 degrees north of west to arrive at its destination.

Learn more about cosine on

https://brainly.com/question/28758375

#SPJ1

To find the height of the tissue box, we use the formula for the volume of a rectangular prism, substituting the given values. We get a height of approximately 11.0 inches, rounded to the nearest tenth.

To find the height of the tissue box, we need to use the formula for the volume of a rectangular prism, which is:

volume = length x width x height

We are given the volume of the tissue box as 1,001 cubic inches, and its width and length as 7 inches and 13 inches, respectively.  We can enter these values as substitutes in the formula to obtain:

1,001 = 13 x 7 x height

The right side of the equation is simplified, and the outcome is:

1,001 = 91 x height

Dividing both sides by 91 gives:

height = 1,001 / 91

We can evaluate this expression with a calculator to obtain:

height ≈ 11.0

Therefore, the height of the tissue box is approximately 11.0 inches, rounded to the nearest tenth.

Learn more about volume of a rectangular prism

https://brainly.com/question/24284033

#SPJ1

The requried completely factored form of the given polynomial is (q+w)(c+y).

We can group the first two terms and the last two terms together, then factor out the common factors:
= cq+cw+qy+wy
= c(q+w) + y(q+w)
= (q+w)(c+y)

Therefore, the completely factored form of the given polynomial is (q+w)(c+y).

Learn more about the factorization of polynomials here:

https://brainly.com/question/28315959

#SPJ1

"The solutions to the equation are complex conjugates of each other" as Lindsey is solving the quadratic equation [tex]x^2[/tex]−2x+6=0.

To solve the quadratic equation [tex]x^2 - 2x + 6 = 0[/tex], Lindsey can use the quadratic formula:

x = (-b ± √([tex]b^2[/tex] - 4ac)) / 2a

In this case, a = 1, b = -2, and c = 6. Substituting these values into the formula, we get:

x = (-(-2) ± √([tex](-2)^2[/tex] - 4(1)(6))) / 2(1)

x = (2 ± √(-20)) / 2

Since the discriminant ([tex]b^2[/tex] - 4ac) is negative, the square root of -20 is an imaginary number.

Therefore, the two solutions to the equation are complex conjugates of each other:

x = (1 + √5i) and x = (1 - √5i)

Thus, the correct statement is: "The solutions to the equation are complex conjugates of each other."

For more details regarding quadratic equation, visit:

https://brainly.com/question/30098550

#SPJ1

Answer:

3√2

Step-by-step explanation:

We can find the value of x using the following equation:

x² = 2×9

x² = 2×9

x² = 18

x = 3√2

Answer:

Step-by-step explanation:

Triangle area formula: 1/2bh

Then use the Pythagorean theorem to find out what AB is.

AB= sqrt 76

8.72

8.72*18*1/2

78.5 approx

The perimeter and the area of the rectangle are given as follows:

Considering dimensions l and w, the perimeter of the rectangle is given as follows:

P = 2(l + w).

The dimensions in this problem are of 7 in and 3.2 in, hence the perimeter is given as follows:

P = 2(7 + 3.2)

P = 10.4 inches.

The area of a rectangle is given as follows:

A = lw.

Hence:

A = 7 x 3.2

A = 22.4 in².

More can be learned about the perimeter and the area of a rectangle at https://brainly.com/question/24571594

#SPJ1

Since the angle at the center of the circle is 120 degrees, the angle subtended by the minor arc XY at the center of the circle is also 120 degrees.

The circumference of a circle with radius r is given by 2πr, where π is the constant pi (approximately equal to 3.14).

The total circumference of the circle is 2π(23 cm) ≈ 72.4 cm.

Since the minor arc XY subtends an angle of 120 degrees at the center of the circle, it will have a length that is 120/360 = 1/3 of the total circumference.

Therefore, the approximate length of the minor arc XY is (1/3)(72.4 cm) ≈ 24.1 cm.

So the closest option to this value is option D, 24 cm.

Answer: A. 48 cm

Step-by-step explanation:

I just did it :)

The solution is:

a) 22-t mph; is the rate of the boat when it travels upstream.

b) 22+t mph. is the rate of the boat when it travels downstream.

Here, we have,

a) When the boat travels​ upstream, the current hinders the boat (the speed of the boat decreases). Thus, the speed of the boat upstream becomes

22-t mph.

b) When the boat travels​ downstream, the current helps the boat (the speed of the boat increases). Thus, the speed of the boat downstream becomes

22+t mph.

Hence, The solution is:

a) 22-t mph; is the rate of the boat when it travels upstream.

b) 22+t mph. is the rate of the boat when it travels downstream.

To learn more on speed click:

brainly.com/question/28224010

#SPJ1

Answer:

hope it helps

Step-by-step explanation:

The given equation is as follows:

3x + 7 = 19

To solve for x, we need to isolate x on one side of the equation.

First, we can start by subtracting 7 from both sides of the equation to get rid of the constant term:

3x + 7 - 7 = 19 - 7

Simplifying, we get:

3x = 12

Next, we can find x by dividing both sides of the equation by 3:

3x/3 = 12/3

Simplifying, we get:

x = 4

Therefore, the solution to the equation 3x + 7 = 19 is x = 4.

Using simplification of equations, we can find the value of x to be = 4.

Equations are mathematical statements with the equals (=) symbol and two algebraic expressions on either side. This illustrates the equality of the relationship between the expressions printed on the left and right sides. The formula LHS = RHS (left hand side equals right hand side) is utilised in all mathematical equations. To determine the value of an unknown variable that represents an unknown quantity, you can solve equations. A statement is not regarded as an equation if it has no "equal to" symbol. It'll be regarded as a term.

This is the equation that is provided:

3x + 7 = 19

We must isolate x on one side of the equation in order to find its value.

To eliminate the constant term, we can begin by deducting 7 from both sides of the equation:

3x + 7 - 7 = 19 - 7

To put it simply, we obtain 

3x = 12.

Then, by multiplying both sides of the equation by 3, we can determine x:

3x/3 = 12/3

To put it simply, we obtain x = 4.

Consequently, x = 4 is the answer to the equation 3x + 7 = 19.

To know more about equations, visit:

brainly.com/question/29657983

#SPJ1

Answer:

x

Step-by-step explanation:

[tex] \frac{1}{5} (25x - 10x) - 2x \\ = \frac{1}{5} (15x) - 2x \\ = 3x - 2x \\ = x[/tex]

The equation that expresses y in terms of x is y = x - 2.

To find an equation that expresses y in terms of x, we need to determine the relationship between the two variables. One way to do this is by finding the slope of the line that passes through the given points.

Using the two points (40, 38) and (70, 68), we can find the slope as:

slope = (change in y) / (change in x)

slope = (68 - 38) / (70 - 40)

slope = 30 / 30

slope = 1

This means that for every increase of 1 in x, y also increases by 1.

We can now use the point-slope form of a linear equation to find the equation of the line passing through these points:

y - 38 = 1(x - 40)

Simplifying:

y = x - 2

Therefore, the equation that expresses y in terms of x is y = x - 2.

Learn more about linear equations here:

brainly.com/question/11897796

#SPJ1

Answer: f(−3) = -5/2

f(−1) = -5/2

f(3) = 3/4

Step-by-step explanation: For x ≤ -1, we have:

f(x) = 7/2 + 2x

For x = -3, we have:

f(-3) = 7/2 + 2(-3)

f(-3) = 7/2 - 6

f(-3) = -5/2

For x = -1, we have:

f(-1) = -5 + 3(-1)/2

f(-1) = -5/2

For -1 < x < 3, we have:

f(x) = -5 + 3x/2

For x = 3, we have:

f(3) = 1/4 (3)

f(3) = 3/4

Answer:

the first one and the second one.

Sara should have $4,578 removed from her projected income of $124,075 for the year 2022.

Determine Sara's taxable income by subtracting the standard deduction for head of household from her projected income. According to the tax table, the standard deduction for head of household for 2022 is $18,650. Therefore, Sara's taxable income is:

$124,075 - $18,650 = $105,425

Find the tax bracket that Sara's taxable income falls into. According to the tax table, for head of household, the tax brackets for 2022 are:

10% on taxable income from $0 to $14,100

12% on taxable income over $14,100 to $54,200

22% on taxable income over $54,200 to $86,350

24% on taxable income over $86,350 to $164,900

32% on taxable income over $164,900 to $209,400

35% on taxable income over $209,400 to $523,600

37% on taxable income over $523,600

Since Sara's taxable income is $105,425, she falls into the 24% tax bracket.

Calculate the amount of taxes that Sara owes based on her tax bracket. To do this, we need to find the amount of taxable income that falls within the 24% tax bracket, and multiply it by the tax rate. According to the tax table, the amount of taxable income within the 24% tax bracket for head of household is:

$105,425 - $86,350 = $19,075

Therefore, Sara's tax liability is:

$19,075 x 0.24 = $4,578

So, Sara should have $4,578 removed from her projected income to cover her taxes for the year.

To learn more about tax liability here

brainly.com/question/31058149

#SPJ1

We can plot 7/10 as 0.7 and 1(1/5) as 1.2 on the number line.

We have,

To plot 7/10, we need to divide the number line into 10 equal parts and then count 7 parts starting from 0.

We can label this point as 7/10.

To plot 1(1/5), we first note that 1 is to the left of the 1/5 mark on the number line.

We can divide the section between 0 and 1/5 into 5 equal parts and count 1 part starting from 0.

Then, we can move to the left of 1 and count 1 more part starting from the 1/5 mark.

We can label this point as 1(1/5).

Alternatively,

We can convert 1 1/5 to an improper fraction first:

1 (1/5) = (5 x 1 + 1) / 5 = 6/5

Then, we can plot 6/5 by dividing the number line into 5 equal parts and counting 6 parts starting from 0.

We can label this point as 6/5 or 1(1/5).

Thus,

We can plot 7/10 as 0.7 and 1(1/5) as 1.2 on the number line.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ

Answer:

  (b)  0.4

Step-by-step explanation:

You want the experimental probability that Antonia will make both of her next two free throw attempts.

The "experimental" probability is the fraction of times the outcome of interest occurred in the trials used for the experiment.

Here, Antonia made both free throws in trials 2, 5, 9, and 10 of the ten trials, so her record for making both free throws is 4 out of 10 trials. We are to assume this 4/10 ratio is the probability that the next 2 attempts will result in Antonia making both free throws.

The experimental probability of making both free throws is 0.4, choice B.

<95141404393>

The probability term that best describes these events is D. complementary.

Complementary events are those that cannot occur simultaneously and are mutually exclusive and exhaustive in probability, meaning that their probabilities add up to 1. Nikoli rolls a number cube with six possible outcomes in this scenario: 1, 2, 3, 4, 5, and 6.

Because events A and b have no common outcomes and their union encapsulates all outcomes that could result from rolling a number cube, they are complimentary events.

Find out more on complimentary events at https://brainly.com/question/29508911

#SPJ1

Answer:

2((7)(9) + (7)(10) + (9)(10)) = 2(63 + 70 + 90)

= 2(223) = 446 square feet

It would take the assistant 17 hours, 30 minutes to do it alone

Algebraic expressions are defined as expressions that are composed of terms, variables, constants, factors and coefficients.

They are also made up of arithmetic operations, such as;

From the information given, we have that;

Josephine makes the correction in 7 hours

They both do it for 5 hours

Let the assistant be x, we then have;

7x/7 + x = 5

cross multiply the values

7x = 37 + 5x

collect the like terms

2x = 35

x = 35/2

x = 17. 5 hours

x =17 hours, 30 minutes

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1