Sketch a graph of f(x)

Answer:

Lines with the same slope are parallel.

mparallel=2

Step-by-step explanation:

The existence of this relief in the Persian capital city clearly portrays the monumental and artistic nature of the Persian Empire.

The Persian Empire, renowned for its grandeur and opulence, left a rich legacy of architectural and artistic achievements. One of the remarkable features of the Persian Empire was its emphasis on monumental structures and elaborate artistic expressions. The existence of the relief in the Persian capital city stands as a testament to the empire's commitment to showcasing its power, wealth, and cultural sophistication. The relief, with its intricate detailing, impressive scale, and artistic finesse, reflects the grand vision and ambition of the Persian Empire. It serves as a visual representation of the empire's wealth, craftsmanship, and mastery of architectural techniques. The Persian rulers, recognizing the significance of art and architecture in projecting their imperial might, invested considerable resources and talent in creating magnificent structures and artworks. Through the existence of this relief, the Persian Empire conveyed its desire to leave a lasting legacy and demonstrate its dominance in the ancient world. The relief's presence in the capital city symbolizes the empire's cultural and artistic achievements, leaving an enduring impression of the Persian Empire's monumental and artistic nature.

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Answer:

Factors of 15: 1, 3, 5 and 15.

Factors of 17: 1 and 17.

Factors of 26: 1, 2, 13 and 26

Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.

Actually you can find all the answers in the Internet.

Answer:

3/28

Step-by-step explanation:

3/7 x 1/2 x 1/2......

Answer:

y is 7

Step-by-step explanation:

Answer:

Triangle 3: 3, 4 ,5

Step-by-step explanation:

Well, you can easily tell by 3, 4, 5 being a Pythagorean triple.

But you have to use the Pythagorean Theorem to solve this.

So you get the side lengths of the two shortest sides, and you add the squared versions of them together.

So: 3^2+4^2 and if that equals the biggest side:5^2 then it's a right triangle.

Answer:

4

Step-by-step explanation:

Go up 1 and go right 3, repeat that pattern.

The solutions of a quadratic equation are,

⇒ x = 1 and x = - 7/2

We have to give that,

A quadratic equation is,

⇒ 2x² + 5x = 7

Now, By using the Quadratic formula, we get;

⇒ 2x² + 5x = 7

⇒ 2x² + 5x - 7 = 0

⇒ 2x² + 7x - 2x - 7 = 0

⇒ x (2x + 7) - 1 (2x + 7) = 0

⇒ (x - 1) (2x + 7) = 0

This gives two solutions,

⇒ x - 1 = 0

⇒ x = 1

⇒ 2x + 7 = 0

⇒ 2x = - 7

⇒ x = - 7/2

Therefore, The solutions are,

⇒ x = 1 and x = - 7/2

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Answer:

Step-by-step explanation:

Width = w

triple the width = 3*w = 3w

Length = 7 yards longer than triple the width = 3w + 7

Perimeter = 438 yards

2*(length +width) = 438

2*(3w+ 7 + w) = 438       {Combine like terms}

2 * (4w + 7)     = 438

     2*4w +2*7 = 438       {Use distributive property}

         8w + 14 = 438          {Subtract 14 from both side}

                  8w = 438 - 14

                  8w = 424          {Divide both sides by 8}

                    w = 424/8

                     w = 53 yards

Length = 3*53 +7 = 159 + 7 = 166 yards

Width = 53 yards

Length = 166 yards

Answer:

6

Step-by-step explanation:

Because they are the same

Answer:

D. 2019

Step-by-step explanation:

So I started by rewriting the function f(x)

1000 = 10^3 so

    f(x)=10^3 times 1.03^x

1.03 = 103/100 so

     f(x)= 10^3 times (103/100)^x

to raise a fraction to a power you just raise the numerator and denominator to that power so

      f(x)= 10^3 times 103^x/100^x

change it to exponential form with a base of 10

     f(x)=10^3 times 103^x/10^2x

then you can reduce it with the 10^3

     f(x)=103^x/10^2x-3

so now that thats in more of a standard form you can find the intersection of the two functions

which is at (9.012,1305.244)

x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.

Answer:

y ≤ -1/3x + 1

Step-by-step explanation:

find the slope and y-intercept and write equation in form of

y = mx + b;  m = slope and b = y-intercept

if you start at (0,1) and move down and to the right to (3,0) you get a slope equal to -1/3

we can see by looking at the graph that the y-intercept is 1

therefore, y ≤ -1/3x + 1

Answer:

0

Step-by-step explanation:

It is not possible to roll a number greater than 6 on a number cube

A probability of 0 means "impossible". This is because a standard number cube (aka a die) has sides labeled 1 through 6. There is no way to roll something larger than 6 on a single die.

Answer:

$38

Step-by-step explanation:

cost of ticket for adult = $22

cost of ticket for youngster = $16

______________________________

cost of ticket for John's mom = $22 as she is adult

cost of ticket for john = $16 as he is young , his age is less than 18 years

Total cost of ticket for John and his mother = $22 + $16 = $38

Answer:

a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths

Step-by-step explanation:

In numbers it is written in the order

Th    H    Tens    Units    Decimal   Tenths   Hundredths  Thousandths

57    8      0          0          .                0             22

57     8      0         0          .                 3

This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze

3/10 and 22/100

Converting them into decimals we get

0.3 and 0.22

therefore 0.3 is greater than 0.22

so Choice a is only correct .

a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths

Answer: The person above me is correct

explanation:

I said that because i don't want no one saying that i copied them

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

\(V=\pi r^2h\)

Where, r = radius

h = height

Put the value into the formula

\(V=\pi\times(2)^2\times13\)

\(V=163.3\ cm^3\)

Hence, The volume of the cylinder is 163.3 cm³.

Answer:

Infinite

Step-by-step explanation:

Let's assume that h=2

-9(2)+9(2)=0

-18+18=0

And if we assumed that h=9

Then: - 9(9)+9(9)=0

- 81+81=0

Thus, h can be any number

The probability of exactly 5 boys in 8 births with a probability of 0.512 for a boy is approximately 0.281, or 28.1%.

The probability of exactly 5 boys in 8 births can be calculated using the binomial probability formula:

P(X = k) = (n choose k) * \(p^k\) * \((1 - p)^{(n - k)\)

where X is the random variable representing the number of boys, n is the number of births, p is the probability of having a boy in a single birth, and k is the specific number of boys we want to calculate the probability for.

In this case, we want to find the probability of exactly 5 boys, so we plug in n = 8, p = 0.512, and k = 5:

P(X = 5) = \((8 choose 5) * 0.512^5 * (1 - 0.512)^{(8 - 5)\)

= 0.281

Therefore, the probability of exactly 5 boys in 8 births with a probability of 0.512 for a boy is approximately 0.281, or 28.1%.

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Complete Question:

With n=8 births and the probability of having a boy p=0.512: If the requirements for using the normal approximation for the binomial distribution are met, calculate the probability of having P(exactly 5 boys). If the requirements are not met, state "Normal approximation should not be used" O 0.61 O 0.23 O None of these O Normal approximation should not be used O 0.83 O 0.77

The area of the regular polygon is 891 square units.

What is a polygon?

A polygon is a closed shape in a two-dimensional plane made of line segments rather than curves. The word "polygon" is created by fusing the words "poly" (which indicates numerous) and "gon" (means sides).

We are given measures of a nonagon which is a nine sided figure.

So, since side is 12, therefore,

⇒ Perimeter = 9 * 12

⇒ Perimeter = 108

We are given apothem to be 16.5.

So,

⇒ Area = \(\frac{1}{2}\) * Apothem * Perimeter

⇒ Area = \(\frac{1}{2}\) * 16.5 * 108

⇒ Area = 891 square units

Hence, the area of the regular polygon is 891 square units.

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Answer: 274 degrees.

Step-by-step explanation:

If the temperature in an oven increases by 8 degrees every minute, then in 3 minutes the temperature will increase by 8 x 3 = 24 degrees.

Therefore, the temperature in the oven after 3 minutes will be:

250 + 24 = 274 degrees.

Answer:

y-7=3(x+2)

Step-by-step explanation:

Point Slope Form is:

\(y-y_1=m(x-x_1)\)

We are given the point of (-2, 7) and the slope of 3.

Plug in the appropriate values:

\(y-y_1=m(x-x_1)\rightarrow \boxed{y-7=3(x+2)}\)

Hope this helps.

Answer:

look at graph

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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Answer:

so here you have given four point if you find slope be between A and B and then another slope between C and D so according to the formula Slopem1 × slopem2 = -1

if this condition fulfil then it's perpendicular

The total number of combinations of the numbers 1 through 10, using only 5 integers, that can combine to add up to 15 is the product of the number of ways in which we can choose 5 integers out of 10 and the number of ways in which we can divide these 5 integers into 4 parts such that their sum is 15. This is equal to 252 × 21 = 5292. The total number of combinations is 5292.

We can use a combination formula which is given by C(n,r) = n! / (r! * (n-r)!).Here, n is the total number of integers available (10 in this case) and r is the number of integers we are choosing (5 in this case).So, we can choose any 5 integers out of 10 in C(10,5) ways which is equal to 252.
Then, we need to find the number of ways in which these 5 integers can combine to add up to 15. We can use a stars and bars method to do that.Let's assume that we have 5 stars representing the 5 integers we chose. Now, we need to divide these stars into 4 parts using 3 bars, such that the sum of stars on the left of the first bar, between the first and second bars, between the second and third bars, and on the right of the third bar, adds up to 15.Each bar divides the stars into two groups.
So, we can say that we are placing 3 identical objects (bars) in a row of 5 identical objects (stars). Using a combination formula, the number of ways in which we can place 3 identical objects in a row of 5 identical objects is C(5+3-1, 3-1) = C(7, 2) = 21.So, the total number of combinations of the numbers 1 through 10, using only 5 integers, that can combine to add up to 15 is the product of the number of ways in which we can choose 5 integers out of 10 and the number of ways in which we can divide these 5 integers into 4 parts such that their sum is 15.

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1) Point-slope form: y + 3 = -3(x - 7) and Slope-intercept form: y = -3x + 16

2) Point-slope form: y + 4 = -1/4(x + 3) and Slope-intercept form: y = -1/4x - 19/4

3) Point-slope form: y + 1 = -7(x + 1) and Slope-intercept form: y = -7x - 6

4) Point-slope form: y - 9 = 4(x + 3) and Slope-intercept form: y = 4x + 21

5) Point-slope form: y - 7 = 4(x - 2) and Slope-intercept form: y = 4x - 1

1) Passing through (7,-3) and perpendicular to the line whose equation is Y = (1/3)x + 5.

To find the equation of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the given line. The given line has a slope of 1/3, so the perpendicular line will have a slope of -3 (negative reciprocal of 1/3).

Point-slope form:

Using the point-slope form, where (x₁, y₁) is the given point (7,-3), and m is the slope (-3):

y - y₁ = m(x - x₁)

y + 3 = -3(x - 7)

Slope-intercept form:

To convert the equation to slope-intercept form (y = mx + b), we simplify the equation:

y + 3 = -3x + 21

y = -3x + 18

2) Passing through (-3,-4) and perpendicular to the line whose equation is Y = -4x + 4.

Again, we find the slope of the given line, which is -4, and take its negative reciprocal to get the slope of the perpendicular line, which is 1/4.

Point-slope form:

Using the point-slope form, with (x₁, y₁) as (-3,-4) and m as 1/4:

y - y₁ = m(x - x₁)

y + 4 = 1/4(x + 3)

Slope-intercept form:

Simplifying the equation:

y + 4 = 1/4x + 3/4

y = 1/4x - 13/4

3) Slope = -7 passing through (-1,-1).

Using the point-slope form, with (x₁, y₁) as (-1,-1) and the given slope of -7:

y - y₁ = m(x - x₁)

y + 1 = -7(x + 1)

Slope-intercept form:

Simplifying the equation:

y + 1 = -7x - 7

y = -7x - 8

4) Slope = 4 passing through (-3,9).

Using the point-slope form, with (x₁, y₁) as (-3,9) and the given slope of 4:

y - y₁ = m(x - x₁)

y - 9 = 4(x + 3)

Slope-intercept form:

Simplifying the equation:

y - 9 = 4x + 12

y = 4x + 21

5) Slope = 4 passing through (2,7).

Using the point-slope form, with (x₁, y₁) as (2,7) and the given slope of 4:

y - y₁ = m(x - x₁)

y - 7 = 4(x - 2)

Slope-intercept form:

Simplifying the equation:

y - 7 = 4x - 8

y = 4x - 1

These are the detailed solutions for finding the equations of the lines in point-slope form and slope-intercept form based on the given conditions.

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Step-by-step explanation:

10/2=(x+9)/4= 5y/3

5 =(x+9)/4 = 5y/3

x+9 = 5×4

x+9 = 20

x = 11

5y/3= 5

5y = 15

y = 3

therefore, x = 11 and y = 3

The area of the swimming pool on the scale drawing will be 300 sq. centimeters.

A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.

For the given scale drawing 1 centimeter represents 2 meters, therefore, the length of 40 meters in one scale drawing will be equal to,

40 meters = 40/2 centimeters = 20 centimeters

The width of 30 meters one scale drawing will be equal to,

30 meters = 30/2 centimeters = 15 centimeters

Now, the area of the swimming pool on the scale drawing will be,

Area= 20 centimeters × 15 centimeters = 300 sq. centimeters

Hence, the area of the swimming pool on the scale drawing will be 300 sq. centimeters.

The complete question is:

A rectangular swimming pool measures 40 meters in length and 30 meters in width. in the scale drawing of the pool, 1 centimeter represents 2 meters. then what is the area of the swimming pool on the scale drawing?

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