10. What is the greatest common factor of 500; 1,000 ;
and 12,500 ?
A. 5
B. 100
C.
125
D. 250
E. 500

Answer:

1

Step-by-step explanation:

Just as for any positive number, the product of a negative number and its reciprocal must be equal to 1. Thus, the multiplicative inverse of any negative number is its reciprocal.

Answer:

Hope this helped!

Step-by-step explanation:

The most easiest way to understand this is by considering a simple right angled triangle:-

For any right angled triangle

sin(theta)=perpendicular/hypotenuse

cos(theta)=base/hypotenuse

Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.

Answer: m=(-1/2. 1)

Step-by-step explanation:

m=midpoint

m=((-2+1)/2, (4+(-2))/2)

m=(-1/2, (4-2)/2)

m=(-1/2, 2/2)

m=(-1/2. 1)

Answer:

Step-by-step explanation:

You can easily convert 3 minutes into seconds using each unit definition:

Minutes

minute = 60 s = 60 s

Seconds

1 s

= 1 sec / 60 = 0.01667 min

With this information, you can calculate the quantity of seconds 3 minutes is equal to.

In 3 min there are 180 s.

Which is the same to say that 3 minutes is 180 seconds.

Answer:

GH = 19

Step-by-step explanation:

FG = 13 FH = 32

32 - 13 = 19

Answer:

GH = 19

Step-by-step explanation:

FH = 32

FG = 13

FH is the total length of the line. FG is only equal to a segment.

So you're going to subtract the total length from the segment.

It should look like this

\(32 - 13 = GH\)

When you subtract 32 from 13, you'll get 19, which is equal to the length of GH.

Answer:

The equation of the plane is

8(x - 5) - 7(y - 4) - 5(z - 5) = 0

8x - 7y - 5z + 13 = 0

Step-by-step explanation:

Given 3 points, P(x₁, y₁, z₁), Q(x₂, y₂, z₂), and R(x₃, y₃, z₃).

We can calculate the equation of the plane through those points as

a(x - x₀) + b(y - y₀) + c(z - z₀) = 0, where (x₀, y₀, z₀) are the coordinates of any one of the points P, Q, or R, and <a,b,c> is a vector perpendicular to the plane.

The vector perpendicular to the plane is obtained by writing vector PQ and PR and taking the cross or vector product.

For this question,

P = (5, 4, 5)

Q = (-5, -1, -4)

R = (-2, 1, -2)

PQ = (-5, -1, -4) - (5, 4, 5) = (-10, -5, -9)

= (-10î - 5ĵ - 9ķ)

PR = (-2, 1, -2) - (5, 4, 5) = (-7, -3, -7)

= (-7î - 3ĵ - 7ķ)

PQ × PR is then

| î ĵ ķ |

|-10 -5 -9|

|-7 -3 -7|

= î [(-5×-7) - (-9×-3)] - ĵ [(-10×-7) - (-9×-7)] + ķ [(-10×-3) - (-7×-5)]

= î (35 - 27) - ĵ (70 - 63) + ķ (30 - 35)

= 8î - 7ĵ - 5ķ

Hence, (a, b, c) = (8, -7, -5)

And using point P as (x₀, y₀, z₀) = (5, 4, 5)

The equation of the plane is

a(x - x₀) + b(y - y₀) + c(z - z₀) = 0

8(x - 5) - 7(y - 4) - 5(z - 5) = 0

8x - 40 - 7y + 28 - 5z + 25 = 0

8x - 7y - 5z = 40 - 28 - 25 = -13

8x - 7y - 5z + 13 = 0

Hope this Helps!!!

''The planets farthest from the Sun have the coolest surface temperatures" is the accurate statement.

The amount of energy received from the Sun decreases with increasing distance, so the planets farthest from the Sun receive the least energy and therefore have the coolest surface temperatures.

This can be seen in our solar system, where the outer planets (Mars, Jupiter, Saturn, Uranus, and Neptune) are colder than the inner planets(Mercury, Venus, and Earth)

Therefore, the statement "The planets farthest from the Sun have the coolest surface temperatures" is accurate.

Learn more about planets on:

https://brainly.com/question/18496962

#SPJ1

Answer:

neeeeeeeeeeeeeeeeeuuuuuuuuuuuuu58907

Step-by-step explanation:

For the area to be  at the point of or exactly 5, both the base and height is one that needs to be positive integers and also satisfy the equation.

The area of a triangle is one that is given by the formula:

Area = (base × height) / 2.

So for one to calculate the area, one need to know the base and height of the triangle. With a geoboard, the base and height could be known by the number of pegs along of all side.

So, If the geoboard does not give room for a base and height combination that runs according to the formula for an area of 5, then it would not be possible to make a triangle with that given  area.

Learn more about triangle  from

https://brainly.com/question/23945265

#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:

$137.80

Step-by-step explanation:

We can solve for \(\frac{1}{3}\) of Luis's money using this equation:

Subtracting that from the total cost:

275.59 is the leftover cost of the new gaming console that the siblings have to evenly split. To find out how much the sibling have to pay each, you can use this equation:

Therefore, to pay for the new gaming console, Benjamin and Audrey will need to each contribute $137.80 to evenly pay for the remaining cost.

Answer:

Step-by-step explanation:

Answer:

no solution

Step-by-step explanation:

took the test

The summary of Angle Relationships in a Circle is given.

The following is an overview of angle relationships in a circle:

The vertex of a central angle is the center of the circle. A central angle's length equals the length of the arc it crosses.

Inscribed angle: An angle with a circle as its vertex and sides that intersect two separate arcs. An inscribed angle has half the length of the arc it intersects.

Tangent-chord angle: A tangent-chord angle is generated when a tangent and a chord cross at the point of tangency. The length of this angle is half the length of the intercepted arc.

To learn more about the intersecting chord theorem:

https://brainly.com/question/15298662

#SPJ1

Answer:

Factors of 27

Step-by-step explanation:

Thus; in considering factors ,we find the numbers in which can go into the number without any remainder.

Hence, one is a factor of every number

Answer:

hehehehe hey lois im in brainly

Step-by-step explanation:

this is so fricking epic

The distance is changing at 153 nots at 5 P.M.

According to the Pythagoras Theorem, the square of the hypotenuse of a right angle triangle is equal to the sum of squares of the other two sides of the triangle. A derivative is suppose x and y are two variables, then the rate of change of x with respect to y is called a derivative. Differentiation is a process of finding the derivative of a function.

According to the question,

At noon, ship A is 50 nautical miles due west of ship B.  (given)

Ship A is sailing west at 17 knots                                        (given)

ship B is sailing north at 17 knots                                       (given)

using the Pythagorean Theorem,

c^2 = a^2+b^2

Here, c is the distance between them at any point

a is the distance of ship A from initial point

b is the distance of ship B from initial point

Now,

initially ship A is due by 50 nautical miles           (given)

and in 5 hours it travels 35*17 miles                    (given)

So, a = 50+5*17 = 50+85 = 135 nautical miles

Similarly b = 5*17 = 85 nautical miles

c^2 = 135^2+85^2 = 18225+7225

= 25450

c = √25450

c = 159.53 nautical miles

But we need to find how fast (in knots) is the distance between the ships changing

that is we need dC/dt     (differentiation)

c^2 = a^2+b^2

Differentiating we get,

2cdc/dt = 2a*da/dt + 2b* db/dt

(the power comes on front during differentiating)

We now have da/dt = 17

db/dt = 17

So, dc/dt = (135*17+85*17)/(159.53) = 153 approx. knots

Therefore, we can conclude that the distance is changing at 153 nots at 5 P.M.

To learn more about differentiation

visit; https://brainly.com/question/24062595

#SPJ1

Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).

From the graph;

Using midpoint formula;

\(( \frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

We substitute in our values

\(( \frac{0+2}{2},\frac{4+(-2)}{2}) \\\\( \frac{2}{2},\frac{4-2)}{2}) \\\\( \frac{2}{2},\frac{2}{2}) \\\\( 1, 1 )\)

Given the initial point( x₁,y₁) and the final point( x₂,y₂ ), the midpoint of the line is ( 1, 1 ).

Learn more about midpoints here: https://brainly.com/question/4747771

#SPJ1

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

for such more question on quantity

https://brainly.com/question/29792134

#SPJ8

Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer: E

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

(x=0 is a removable discontinuity and x=6 is an infinite discontinuity)

at x=-5 the limit from the left and right are not equal to one another

Given

To find

we know that

Inserting the value of radius

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.

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

The electric field is the derivative of the electric potential with respect to position. So we can find the electric field by finding the derivative of V(y) with respect to y.

What does a math function mean?

a mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variablevariable).

dV/dy = 8y - 3

So, at position y=6, the electric field is E = dV/dy = 8*6 - 3 = 45

Therefore, the magnitude of the electric field at position (2,6) is 45 N/C.

learn more about function

https://brainly.com/question/11624077

#SPJ4

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

To know more about standard deviation, visit: https://brainly.com/question/23907081

#SPJ1

Answer:

2 students play both

Step-by-step explanation:n(u)=28

n(b)=7,n(b)=5,n(who play neither sport)=18

HERE,

n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)

28=7+5-n(BnB)+18

28=30-n(BnB)

n(BnB)=30-28

 =2 answer

Answer:

Simplifying the expression `n + n - 0.18n`, we get:

n + n - 0.18n = 2n - 0.18n

Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.

Looking at the answer choices:

a. 1.18n

b. 1.82n

c. n- 0.18

d. 2n - 0.82

We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.

Therefore, the answer is d. 2n - 0.82.

Step-by-step explanation: