Find the arc length of the partial circle.

We know that an inch is equivalent to 2.54 centimeters, then if we want to know how many inches are in a centimeters we do this:

In this case, we have 20 centimeters, then replacing a by 20 we find the equivalent inches to 20 like this:

Answer:

\(-2(x-7)+(x+1)=5\)

Step-by-step explanation:

We can divide both sides by -2 to obtain

\(-2(x-7)+(x+1)=5\)

Answer:

320 yards per minute

Step-by-step explanation:

1 mile =1760 yards

So we will do 1760 multiplied by 26 which equals to

45760 yards in 2 hours and 23 minutes

There is 2 hours which means we have to do

60 x 2 = 120 and then we add 23 minutes

120 + 23 = 143

So there's 143 minutes in 2 hours and 23 minutes

Now, we have to work out how much yards per minute

he ran

So, we will have to do :

45760 divided by 143

45760/143 which equals 320

so the answer is 320 yards per minute

I hope this helped you and i hope i did the question correctly

anyways have a good day

Answer:

Step-by-step explanation:

1 right angle=90

half right angle=45

90+45=135

Answer:

135°

Step-by-step explanation:

1 right angle = 90°

\(\frac{1}{2} \\\) of a right angle = 90° ÷ 2 = 45°

1\(\frac{1}{2}\) right angles = 90° + 45° = 135°

The answer is 135°

Answer:

for us to be able to ascertain whether a function has no limit we approach from two points which are from zero and infinity.

Step-by-step explanation:

the two best path to approach a function is to approach from zero and approach from infinity, literary what we are trying to do is approach from the smallest to the greatest and it each point we can conclude with certainty whether the function has a limit or not.

Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.

As 50 x 10 = 500 and the 5 in 23,521 represents 500.

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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The solutions to the questions are:

From the question, we have the following parameters that can be used in our computation:

The housing loses at a rate of 5.4% per year

The "loses at a rate" means that the function decreases with time

So, the function is a decay function

From the question, we have the following parameters that can be used in our computation:

The house was worth of 131,000 in 2009

This represents the initial value

So, the initial value is 131,000

This is the decay factor of the function

Recall that

The housing loses at a rate of 5.4% per year

So, we have

Base = 1 - 5.4%

Evaluate

Base = 0.946

We have

Initial = 131000

Base = 0.946

So, the function is

f(x) = 131000(0.946)ˣ

This means that x = 2019 - 2009

x = 10

So, we have

f(10) = 131000(0.946)^10

Evaluate

f(10) = 75193.90

Hence, the value is $75193.90

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Answer:

\(x=21 ways\)

Step-by-step explanation:

From the question we are told that:

Bike space \(N=7\)

Number of Bike \(n=5\)

Generally the equation for This combination is mathematically given by

 \(x=^NC_n\)

 \(x=^7C_5\)

 \(x= \frac{7!}{5!2!}\)

 \(x= 7*6/2\)  

 \(x=21 ways\)

The variable t in the equation is 1.

3t - 18 = 4(-3 - 3/4t)

Open the bracket on the right side

3t - 18 = 4(-3 - 3/4t)

3t - 18 = -12 - 3t

add 3t to both sides of the equation

3t - 18 = -12 - 3t

3t - 18 + 3t = -12 - 3t + 3t

3t + 3t  - 18 = -12

6t - 18 = - 12

Add 18 to both sides of the equation

6t - 18 = - 12

6t - 18 + 18 = - 12 + 18

6t = 6

divide both sides by 6

6t = 6

6t / 6 = 6 / 6

t = 1

Therefore, the value of t is 1.

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The value of c that satisfies the condition a + b = 10 is 10.

To find the value of c such that the sum of the x- and y-intercepts of any tangent line to the curve √x + √y = √c is equal to 10, we can use the fact that the x-intercept occurs when y = 0, and the y-intercept occurs when x = 0.

First, let's find the x-intercept. When y = 0, we can substitute this value into the equation:

√x + √0 = √c

Simplifying, we have:

√x = √c

Squaring both sides of the equation, we get:

x = c

So, the x-intercept is given by (c, 0).

Next, let's find the y-intercept. When x = 0, we can substitute this value into the equation:

√0 + √y = √c

Simplifying, we have:

√y = √c

Squaring both sides of the equation, we get:

y = c

So, the y-intercept is given by (0, c).

Since we want the sum of the x- and y-intercepts to be equal to 10, we have:

c + 0 = 10

Simplifying, we find:

c = 10

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Answer:

\(\displaystyle 5\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Limits

Limit Rule [Variable Direct Substitution]:                                                             \(\displaystyle \lim_{x \to c} x = c\)

Derivatives

Derivative Notation

Instantons Rate of Change

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x² + x - 1

x = 1

Step 2: Find Change

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

y=5x+44

Step-by-step explanation:

Parallel lines have equal gradients therefore the line will have a gradient =5

Substitute the gradient into the equation y= mx+c. You'll get something like this: y=5x+c

Substitute the given point into the equation. You'll get something like this: 9=5(-7)+c

Calculate the value of c. You'll get 44 as the value of c.

Then substitute the value of c into the original equation. You'll get y= 5x+44

Answer:

1/2 mile

Step-by-step explanation:

its 2 1/2 miles right? so u just have to find the difference.

2.5-0.25=2.25

2.25-1.75=0.5

0.5 miles is left

Answer:

Show the shape.

Step-by-step explanation:

Answer:

You didn't attach any work.

Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

50?

Step-by-step explanation:

31: 62*100 =

(31*100): 62 =

3100: 62 = 50

Answer: Not gonna spoon feed but the ratio is -3
6 * -3 = -18

-18 * -3 = 54
u should be able to get t4, t5 and t6 now by urself

The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer:

x+y=11

Step-by-step explanation:

take the square root of both sides.

(x-7) + (y+3) = 7

collect like terms

x+y = 7+7-3

Answer:

x² + y² - 14x + 6y + 9 = 0

Step-by-step explanation:

the equation of a circle in general form is

x² + y² + 2gx + 2fy + c = 0

given

(x - 7)² + (y + 3)² = 49 ← expand factors using FOIL

x² - 14x + 49 + y² + 6y + 9 = 49 , that is

x² + y² - 14x + 6y + 58 = 49 ( subtract 49 from both sides )

x² + y²- 14x + 6y + 9 = 0 ← in general form

One square inch would be equal to that. It is impossible to create a trapezoid since any attempt to do so will result in the formation of a square.

This is further explained below.

Generally, In American and Canadian English, a trapezoid is the name given to a particular kind of quadrilateral that has at least one set of parallel sides. A trapezoid is referred to as a trapezium in British English and in other varieties of the English language.

In conclusion, That would be equivalent to one square inch if we were to convert it. The development of a trapezoid is mathematically impossible since every effort to do so would always end in the production of a square.

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Answer:

Step-by-step explanation:

a:

Divide the triangle into four smaller triangles. It already has one horizontal line; adding two diagonal lines would render the image (attached).

Now, you have one triangle (on top) with an area of 1 CM. having the identical size triangles (4) leads us to the total of areas of them: 1 + 1 + 1 + 1 = 4 cm

b:

\(trapezoid = 1 inch^{2}\\triangle = \frac{1}{3} inch^{2}\\A = 1 \frac{1}{3} inch^{2}\\\)

To calculate the mean, median, and mode, we first need to know what each of these terms represents. The mean, also known as the average, is the sum of all the values divided by the total number of values. To find the mean, add up all of the values and divide by the number of values. The median is the middle value in a set of data when it is arranged in order from least to greatest. The mode is the value that occurs most frequently in a set of data. Here's an example to illustrate these concepts:

Let's say we have a set of data consisting of the following values: 2, 5, 5, 7, 8, 10, 12. To find the mean, we add up all of the values and divide by the number of values. In this case, the sum of the values is 49 (2+5+5+7+8+10+12) and there are 7 values, so we divide 49 by 7 to get the mean, which is approximately 7. To find the median, we first need to arrange the data in order from least to greatest: 2, 5, 5, 7, 8, 10, 12. The middle value is 7, so that is the median. To find the mode, we look for the value that occurs most frequently. In this case, 5 occurs twice, which is more than any other value, so the mode is 5.
In conclusion, the mean, median, and mode are all measures of central tendency that can be used to describe a set of data. The mean is the average value, the median is the middle value, and the mode is the value that occurs most frequently. When calculating these measures, it is important to carefully consider the data and choose the appropriate method for finding each value.

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