A student asks how to find the shortest path between two points A and B on two different faces which are neither the top or bottom of a right rectangular prism without leaving the prism. How do you respond?

Answer:11

Step-by-step explanation:x+12=23

                                            x=23-12

                                              x=11

Answer:

it will take at least 9 years for Lucy's investment to grow to more than $5,000. Since we can't have a fraction of a year, the answer is 10 years (rounded up from 9.09).

Step-by-step explanation:

We can solve this problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the initial investment (principal), which is $4,000 in this case

r = the interest rate per year, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the number of years

We want to find the number of years t it will take for the account balance to exceed $5,000. So we can set up the following inequality:

A > 5000

Substituting the values we have into the compound interest formula and simplifying, we get:

4000(1 + 0.03/1)^(1t) > 5000

Simplifying further, we get:

1.03^t > 1.25

To solve for t, we can take the logarithm of both sides of the inequality:

log(1.03^t) > log(1.25)

t*log(1.03) > log(1.25)

t > log(1.25) / log(1.03)

Using a calculator, we find that:

t > 9.09

Answer:

16

Step-by-step explanation:

a and b are called valuables while 16 is the coefficient of both a and b.

Answer:

576 cm2

Step-by-step explanation:

Answer:

There are 68 rows

Step-by-step explanation:

2,380 divided bye 35 is 68

Answer: 68 rows

Step-by-step explanation:

If this helped you put a thanks and review please?!

Answer:

The inverse function is:

f(x)=√x−2

Step-by-step explanation:

To find the inverse function of y=f(x) you have to transform the formula to calculate x in terms of y.

y=x2+2

x2=y−2

x=√y−2

Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:

y=√x−2

You have to calculate the domain of the result function.

Here you have the expression under square root sign, so the domain is the set where x−2≥0

x−2≥0⇒x≥2

Let's practice a little algebra and set the second distance to x.

9/4=270/x

solve

9x=270*4

x=30*4

x=120

The second distance is 120.

Done! any question about this just ask me in the comment.

Answer:

177 feet which is the first option

Step-by-step explanation:

The height of the kite can be determined from the formula

sin 45 = height/length of string since the three form a right triangle with 45° angle

or

height = sin 45 x length of string

length of string = 250 feet

height = sin 45 x 250 feet
           = 176.77 feet
           = 177 feet rounded to the nearest foot

Answer: 177 feet which is the first option

Answer:

g(x)=(x+5)^2

Step-by-step explanation:

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Answer:

ok no problem

i am here to give knowledge

Answer:

fast as heck 0.o (i think 170

Step-by-step explanation:

Answer:

Step-by-step explanation:

solution:

            Data,

                      driving speed of car intially velocity at = Vi = 60km/h

                      the speed was then raised to final velocity at = Vf = 70km/h

                       the total period of speed raised = t = 5 sec

            Req,    acceleration = ?

                     put the formulae :  a =  Vf - Vi/t

                            a = 70 - 60/5

                             a =  2 m/sec2 ans

Answer:

m = -5

Step-by-step explanation:

16−(7m+3)=8(1−m)

16 - 7m - 3 = 8 - 8m

16 - 3 - 8 = 7m - 8m

5 = -m

(-1) * 5 = -m * (-1)

-5 = m

therefore, m = -5

Answer:

The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.

Answer:

Step-by-step explanation:

To find the percent decrease in sales, we need to calculate the amount of decrease and divide it by the original amount, then multiply by 100 to express the answer as a percentage.

Amount of decrease = $1.15 million - $1.03 million = $0.12 million

Percent decrease = (Amount of decrease / Original amount) x 100%

= ($0.12 million / $1.15 million) x 100%

= 10.43%

Rounding to the nearest tenth of a percent, the percent decrease is 10.4%.

The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

We have to given that;

All the expressions are,

⇒ (x+3)(2x-1) / (x+3)

⇒ (3x²+3x) / (4x+5)

⇒ (3x+4√x-7) / (2x+2)

⇒ (2x²-3x³+5) / 5x

Since, A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

Hence, We can simplify all the expressions as,

⇒ (x+3)(2x-1) / (x+3)

⇒ (2x - 1)

Hence, It is not a rational expression.

⇒ (3x²+3x) / (4x+5)

⇒ 3x (x + 1) / (4x + 5)

Hence, It is a rational expression.

⇒ (3x+4√x-7) / (2x+2)

⇒ (3x + 4√x - 7) / 2 (x + 1)

Hence, It is a rational expression.

⇒ (2x²-3x³+5) / 5x

Hence, It is a rational expression.

Thus, The correct expression which is not a rational expression,

⇒ (x+3)(2x-1) / (x+3)

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Answer:

the answer is 28

So the equation in the form y=kx is: y = 180,000x, where y is the cost in dollars and x is the length of the commercial in seconds.

In mathematics, an equation is a statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equal sign, with the expression to the left of the equal sign indicating the left-hand side of the equation, and the expression to the right of the equal sign indicating the right-hand side of the equation. Equations can be used to describe relationships between variables, to solve problems, and to model real-world phenomena.

Here,

a. Yes, the cost of the commercials is proportional to the length of time the commercial aired.

b. To find the cost of a commercial in dollars per second, we need to divide the cost by the length of the commercial in seconds. Using the given values, we get:

For a 15-second commercial: $2,700,000 ÷ 15 = $180,000 per second

For a 60-second commercial: $10,800,000 ÷ 60 = $180,000 per second

For a 90-second commercial: $16,200,000 ÷ 90 = $180,000 per second

For a 120-second commercial: $21,600,000 ÷ 120 = $180,000 per second

We can see that the cost per second is constant at $180,000. So the equation in the form y=kx is:

y = 180,000x, where y is the cost in dollars and x is the length of the commercial in seconds.

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The area of the sidewalk is 388 square feet.

To find the area of the sidewalk you can find the area of each individual shape and add them together.

Area of the first triangle T = (1/2) x 6 ft x 11 ft = 33 sq. ft.

Area of the second triangle = (1/2) x 6 ft x 18 ft = 54 sq. ft.

Area of the rectangle = 6 ft x 30 ft = 180 sq. ft.

Area of the square = 11 ft x 11 ft = 121 sq. ft.

Therefore, the total area of the sidewalk is:

33 sq. ft. + 54 sq. ft. + 180 sq. ft. + 121 sq. ft. = 388 sq. ft.

So, the area of the sidewalk is 388 square feet.

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Answer:

(-15, 5)

Step-by-step explanation:

(x + 1)/2 = -7

x + 1 = -14

x = -15

(y + 3)/2 = 4

y + 3 = 8

y = 5

Answer: (-15, 5)

Measuring to fit a cabinet opening includes a few extra steps to get the doors made in the right sizes for your remodel or renovation:  

Measure the inside edges: When measuring the width, measure from left to right, starting with the inside edge of the left stile (vertical part of the face frame) to the inside edge of the right stile. When measuring height, measure from the inside edge of the bottom rail (horizontal part of the face frame) to the inside edge of the top rail. We build to 1/16 inch increments, so be precise.

Add space for door overlay: Cabinet doors for framed cabinets must be larger than the cabinet opening to look right and close properly. We refer to this as an "overlay". The industry standard for most cabinet doors is a 1/2 inch overlay around the cabinet door. To create a 1/2 inch door overlay on all four sides, add 1 inch to your total height, and 1 inch to your total width

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

The slope will be 25

Step-by-step explanation:

slope is change in y over change in x

so..the change in Y is 25, and in X is 1 so..

25/1 = 25

Answer:

23,29,31,37.

....................

The value of h is 0.39

Trigonometric functions are the periodic functions which denote the relationship between angle and sides of a right-angled triangle.

Tan 7 degrees is the value of tangent trigonometric function for an angle equal to 7 degrees. The value of tan 7° is 0.1228.

According to the given question.

We have a trigonometric function.

\(tan7 = \frac{h}{3.2}\)

Since, the value of tangent 7 degrees is 0.1228.

Substitute, the value of tangent 7 degrees in the given trigonometric function.

⇒ \(0.1228 = \frac{h}{3.2}\)

⇒\(0.1228 (3.2) = h\)

⇒\(h = 0.39\)

Hence, the value of h is 0.39

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer: b=-2

Step-by-step explanation:

3(b+3)-4(-2+b)=19

3b+9+8-4b=19

-b+17=19

-b=19-17

-b=2

-b/-1=2/-1

b=-2

Answer:

24

Step-by-step explanation:

Volume to fill =  1 x 2 x 3/2 = 3  cm^3

Volume of cube to fill this volume  1/2 * 1/2 * 1/2 = 1/8 cm^3

3/ (1/8) = 24

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

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Answer: $227,226.51

Step-by-step explanation:

First, we need to convert the period to weeks.

9 1/2 years = 9.5 years

1 year = 52 weeks

9.5 years = 494 weeks

Next, we can use the formula for the future value of an annuity:

FV = (PMT x (((1 + r/n)^(n*t)) - 1)) / (r/n)

where:

PMT = payment amount per period

r = annual interest rate

n = number of compounding periods per year

t = number of years

Plugging in the given values:

PMT = $300

r = 0.055 (5.5% expressed as a decimal)

n = 52 (compounded weekly)

t = 9.5 years = 494 weeks

FV = ($300 x (((1 + 0.055/52)^(52*494)) - 1)) / (0.055/52)

FV = $227,226.51

Therefore, the future value of the annuity is approximately $227,226.51.