write the number 1,900 in scientific notation

1.) slope: -4 (m = -4)

2.) slope: 0 (m = 0)

3.) slope: undefined (infinite)

4 & 5 are pictured below:)

hope this helps!

30 ÷ 60 = .5 mile per minute

the diameter of the wheel is 26 inches

circule perimeter = 2 pi r

r = 1/2 d = 13 inch

circule perimeter = 81.7 inches

half mile = 31680 inch

31680 ÷ 81.7 = 387. 76 revolutions per minute

Answer:

V=0

Step-by-step explanation:

9V + 19 =19

9V=19-19

9V=0

V=0

Answer:

y = -2x - 1

Step-by-step explanation:

the ? mark part or the first [] is the slope

the slope is rise / run

the "rise" is 2 down

the "run" is 1 left

so

-2 / 1 is the slope

the y intercept is -1 as the line touches the y axis at -1

so

y = -2x - 1

is your answer

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

Answer:

\(x =\) \(16\frac{2}{11}\)

Step-by-step explanation:

According to the image, those are verticle angles, so I came up with this equation that can help me solve this problem:

5x+12+6x-10=180

11x+2=180

11x=178

x=\(16\frac{2}{11}\)

Answer:

A cross section parallel to the base is a square with side lengths of less than 2 ft.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.

B D E

Step-by-step explanation:

Answer:

BDE

Step-by-step explanation:

I GOT IT RIGHT

Answer:

13) 25 and 17

14) cupcakes = $5

brownies = $3

Step-by-step explanation:

13)  you can set this up as equations

so x + y = 42

x-y = 8

solve simultaneously by subtracting from each other

2y = 34

y= 17

if y = 17

42 - 17 = 25 = x

14) set up as equations again

Ben    7c + 10b = 65

franklin   7c +7b = 56

subtract from eachother

3b = 9

b = $3

7c + 10(3) = 65

7c = 35

c = $5

Answer:

First question = 2&8

Second question = Cupcakes 6.5 Brownies 8

Step-by-step explanation:

Answer:

$ 5.94

28 + 7= 35

5.94 + 5.94 + 5.94 + 5.94 + 5.94 + 5.94 = 35.64

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

Learn more on equations of conic sections here: https://brainly.com/question/30989935

#SPJ1

Answer:

yes it is

Step-by-step explanation:

Answer:

yeah

Step-by-step explanation:

The simplified expression involving complex numbers is given as follows:

5 + 5i.

Complex numbers are number that have a real and an imaginary part, and are defined as follows:

z = a + bi.

In which:

The basic relation of complex numbers is given as follows:

i² = -1.

The fraction for this problem is given as follows:

(2 + i)(4 - 2i)/(1 + i).

The numerator is simplified as follows:

(2 + i)(4 - 2i) = 8 - 4i + 4i - 2i² = 8 + 2 = 10.

Hence the fraction is of:

10/(1 + i).

To remove the complex number from the denominator, the entire fraction is multiplied by the conjugate of the denominator, hence:

10/(1 + i) x (1 - i)/(1 - i) = 10(1 + i)/(1 - i²) = 10(i + 1)/2 = 5 + 5i.

More can be learned about complex numbers at https://brainly.com/question/10662770

#SPJ1

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

Learn more about area of rectangle on:

https://brainly.com/question/23677609

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

The two triangles are similar because angle C = C' and angle A = A'. The scale factor is 4/3

Similar triangles are triangles that have the same shape, but their sizes may vary. The corresponding angles of similar triangles are congruent.

Also, the ratio of corresponding sides of similar triangles are equal.

Therefore to show that that the two triangles are equal;

Tan A = 4/3

Tan A = 1.333

A = 53.1°

Tan A' = 5.3/4

Tan A' = 1.33

A' = 53.1°

Therefore the two triangles are similar.

The scale factor = 4/3

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

Answer:

14.574

Step-by-step explanation:

Answer:

Step-by-step explanation:

14.574

The sentence that best describes the paragraph is: "The pirates didn't believe Caesar would kill them because he was their prisoner." So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

The paragraph recounts the events of Caesar's kidnapping by pirates while crossing the Aegean Sea. Despite being held captive, Caesar maintained an attitude of superiority. The pirates demanded a ransom of 20 talents of silver, but Caesar insisted they ask for 50. This indicates that Caesar saw himself as more valuable than the initial ransom amount suggested by the pirates.

After the ransom was paid, Caesar did not forget the pirates' actions. He raised a fleet, pursued the pirates, and captured them. The sentence implies that the pirates didn't believe Caesar would actually kill them because he was their prisoner and they likely saw his promises as mere jest.

However, Caesar, true to his word, had the pirates crucified on his own authority.

This sequence of events highlights Caesar's determination, strategic thinking, and his ability to command respect even in dire circumstances. Despite being initially taken prisoner, he managed to turn the tables on the pirates, assert his authority, and exact his revenge. So, the correct option is c) Pirates didn’t believe Caesar will kill them because he was their prisoner.

For more such questions on prisoner

https://brainly.com/question/13802253

#SPJ8

Answer:

$44.04

Step-by-step explanation:

let 3 be the number of people and 14.68 the person owes

3*14.68 = 44.04

Answer:

$45

Step-by-step explanation:

10% of 50 = 5

50 - 5

Answer:

$45

Step-by-step explanation:

50 x 0.10 = 5

50-5=45

Answer:

1180

Step-by-step explanation:

(42×28)+4 =x

x= 1180

Answer:

x+100

Step-by-step explanation:

x^2-10,000/x-100

x^2-10000 is a difference in squares and can be factored.

x^2-10000 = (x+100)(×-100).

(x+100)(x-100)/(x-100)

(x-100) cancel each other.

x+100 remains.

The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

For similar question on diameter.

https://brainly.com/question/28162977

#SPJ8

Answer:

aã/fjd &dsjf éfbcsçvn bñßã

Answer:

it will take 9 hours to travel 567

Step-by-step explanation:

Hope this helps:)

Answer:

113.1 in³

Explanation:

The volume of a sphere can be calculated as:

Where π is 3.1416 and r is the radius of the sphere.

The radius of the sphere is half the diameter, so the radius is equal to:

So, the volume of the sphere in cubic inches is:

Therefore, the answer is 113.1 in³

The critical value that corresponds to a confidence level of 99% for a sample size of 14 is approximately 2.617, rounded to three decimal places.

What is Normal distribution ?

In statistics, a normal distribution, also known as a Gaussian distribution or bell-shaped distribution, is a probability distribution that is symmetric and bell-shaped, with the majority of the data concentrated around the mean and progressively less data towards the tails.

Using a Z-table, the critical value for a confidence level of 99% is approximately 2.617.

Alternatively, you can use a Z-score calculator, which is a tool that allows you to directly input the confidence level and sample size to calculate the critical value. For a sample size of 14 and a confidence level of 99%, the critical value is approximately 2.617.

Therefore, the critical value that corresponds to a confidence level of 99% for a sample size of 14 is approximately 2.617, rounded to three decimal places.

To learn more about Normal distribution from given link.

https://brainly.com/question/31327019

#SPJ1