A diagonal path divides a square park in half. If the park is 50 yards on each side, how long is the path?

Answer:

option B

35

Step-by-step explanation:

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

Formula to calculate combination

nCr = n! / r! * (n - r)!

We are given C(7,3)

here n = 7

        r = 3

7C3 = 7! / 3! * (7 - 3)!

       = (7x6x5x4x3x2) / (3x2)(4x3x2)

       = (7x6x5) / (3x2)

       = 210 / 6

       = 35

Final answer:

The value of C(7, 3), which is the number of combinations of 7 items taken 3 at a time, is 35. The calculation uses the combinations formula C(n, k) = n! / (k! * (n - k)!), simplifying the factorials and the result is determined.

Explanation:

To evaluate C(7, 3), we need to calculate the number of combinations of 7 items taken 3 at a time. The formula for a combination is given as:

C(n, k) = n! / (k! * (n - k)!)

Here, n represents the total number of items and k represents the number of items to choose. Let's plug in the values to calculate this:

C(7, 3) =[tex]7! / (3! * (7 - 3)!) = 7! / (3! * 4!)[/tex] = (7 x 6 x 5 x 4 x 3 x 2 x 1) / ((3 x 2 x 1) * (4 x 3 x 2 x 1))

After canceling the matching factorial terms, we get:

C(7, 3) = (7 x 6 x 5) / (3 x 2 x 1) = 210 / 6 = 35

Therefore, the value of C(7, 3) is 35.

Answer:

C

Step-by-step explanation:

if you add 2 sides of a triangle the other must be smaller and if you subtract 2 sides the other must be greater

Answer with explanation:

For, set of three numbers to be sides of triangle, the sum of two should be greater than third.

→1.

3, 3,8

3 +3 is not greater than 8.So, it can't be sides of triangle.

→2.

5,5,14

5+5 is not greater than 14.So, it can't be sides of triangle.

→3.

3,3,2

3+3>2

3+2>3

Sum of two sides is greater than third, so it can be sides of triangle.

→4.

5,5,10

5+5 is not greater than 10.So, it can't be sides of triangle.

Option: C→3,3,2

Answer:

the answer is A

Step-by-step explanation:

because two negatives turn to a positive

Answer:

A

Step-by-step explanation:

It is a rule that two negatives make a positive. Also, it is the only one with the correct format on the number line.

Answer:

A line: slope, y-intercept from the equation

A quadratic: vertex or axis of symmetry from the equation

Step-by-step explanation:

When graphing a line, you need the y-intercept and slope. This can be found by using the equation.

When graphing a parabola or quadratic, you need the vertex or axis of symmetry. This can also be found from the equation.

➷ When exponents are separated with parenthesis, multiply them together:

3 x -5 = -15

The simplified expression would be X^-15

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer: x^15

have a great day

Answer:

(4g+3)(g-2)

Step-by-step explanation:

well they all have a common factor of 2

so divide all of it by two 2[(4g^2-5g-6)]

then factory that to get (4g+3)(g-2)

Hopefully this helps you :)

Answer:

each side of the square is 2cm

To find the base of a square with an area of 4 cm², we take the square root of the area. The base of the square is 2 cm because the square root of 4 is 2.

To work out the base of a square with an area of 4 cm², we note that a square's area is calculated by multiplying one of its sides by itself, which is represented as side length² or a². Given that a square's area is 4 cm², we set up the equation a² = 4 cm². Solving for a, we take the square root of both sides of the equation. The side length a is thus 2 cm, since the square root of 4 is 2. Therefore, the base of the square is 2 cm.

Answer:

37.52 feet

Step-by-step explanation:

Given in the question the equation

h = -16t² + 47t + 3

where h is height in feet

            t is time in minutes

a = -16

b = 47

c = 3

To find the maximum height of the football

t = -b / 2a

 = -47 / 2(-16)

 = 1.47 sec  

h = -16(1.47)² + 47(1.47) + 3

  = 37.52 feet

➷ The correct option would be D. 3g = 21

As it is 3 tickets per game, the total number of tickets would be 3 multiplied by the number of games

This equation could then be rearranged to find the number of games.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

The answer is D.

Step-by-step explanation:

It costs 3 tickets to play a game at the fair.

So the number of games, g = total number of tickets / 3,

g = 21 / 3

3g = 21

The answer is D.

The rate of change on a graph represents how fast or slow the changes are happening, while the initial value is the starting point. To find these on a graph, you determine the slope of the line for the rate of change, and look at the intercept on the y-axis for the initial value. These values give us insights into the reading pace and starting point of the teacher.

The rate of change in a graph represents the slope of the line. It tells us how the quantity being measured changes over time. If the graph is a straight line, the rate of change is constant, but if the line is curved, the rate of change varies.

To find the rate of change, you need to select two points on the graph and find the difference in the page numbers divided by the difference in the corresponding time points. That is (pages end - pages start) / (time end - time start).

The initial value is the point where the teacher started reading the book. This point is seen as the intercept on the y-axis of the graph.

The interpretation of these values would be that the rate of change tells us how quickly the teacher is reading the book, and the initial value tells us at what page number the teacher started reading.

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Initial value: The teacher initially read 150 pages. Rate of change: The teacher read 100 pages per day. The graph shows that the teacher is reading at a consistent pace and is making good progress on the book.

The initial value of the graph is the y-intercept, which is 100 pages. This means that the teacher had already read 100 pages before the graph starts.

The rate of change of the graph is the slope, which is calculated as (change in y) / (change in x). In this case, the slope is (750 - 100) / (5 - 1) = 130 pages/day.

This means that the teacher is reading 130 pages per day.

Interpretation:

The teacher is reading at a rate of 130 pages per day. This means that each day, the teacher is reading 130 more pages than the previous day.

The initial value of 100 pages means that the teacher had already read a significant portion of the book before the graph starts. It is possible that the teacher was reading ahead, or that the teacher was reading a chapter book to the class and had already finished the first chapter.

Overall, the graph shows that the teacher is reading at a consistent pace and is making good progress on the book.

For such more question on graph

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Answer:

36000pi

Step-by-step explanation:

V = 4/3*pi*r^3  so we need to know r

we know surface area, which is 4pi*r^2=3600pi.  so we can solve for r

r=30

so v = 4/3*pi*30^3 = 36000pi

Answer:

Step-by-step explanation:

Givens

His tank contains 8 gallons

He spends 16.50 on gas

A gallon of gas costs 1.50 dollars

Millage = 30 mpg

Find the gas added.

Total gas (in gallons) added = amount spent / cost per gallon

Total gas (in gallons) added = 16.50 / 1.50

Total gas (in gallons) added = 11 gallons.

Find the total number of gallons in his tank.

Total = what was there + What he bought.

Total = 8 + 11

Total = 19 gallons.

Find the distance he can travel

Total distance = gallons * miles / gallon

Total distance = 19 * 30

Total distance = 570 miles.

Tyler and Statton could potentially travel a total distance of 570 miles with the amount of gas they have.

The question is asking for the total distance that the boys could travel on the bought gas. Tyler bought $16.50 worth of gas at $1.50 per gallon, which means he bought 11 gallons ($16.50/$1.50). Tyler initially had 8 gallons of gas in his tank. Therefore, he now has a total of 8 + 11 = 19 gallons of gas. His Jeep gets 30 miles for every gallon of gas. Therefore, the total distance they can travel is 19 gallons * 30 miles/gallon = 570 miles.

So, "Tyler and Statton could potentially travel 570 miles with the gas in the tank".

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➷ Equations come in the form y = mx + c

'c' is the y intercept

In this equation, the y intercept is -3

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The y-intercept of the given equation y = 4x-3 is -3.

The y-coordinate of a point where a line, curve, or surface intersects the y-axis is called y-intercept.

According to the given question.

We have an equation y = 4x -3.

To find the y-intercept substitute x = 0 in the above equation y = 4x -3.

[tex]\implies y = 4x -3\\\implies y = 4(0) - 3\\\implies y = -3[/tex]

Hence, the y-intercept of the given equation y = 4x-3 is -3.

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All sides are equall

Answer:

side a is less then a sum of the other two

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side. If you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side.

= 28/5x + 328/5

is the answer. work is on attached piece of paper

Answer:

4

(

7

x

+

82

)

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

jajajajajajajajajajajajajaja

11.2

Answer:

I think its 70

Step-by-step explanatio

Hope this helps!

Answer:

A. 140

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the value of z.

Upon looking at our given circle we can see that z is the intercepted arc to the inscribed angle that measures 70 degrees.

We know that measure of intercepted arc of a circle in two times the measure of inscribed angle.

Using inscribed angle theorem we can set an equation as:

[tex]z^{\circ}=2\times 70^{\circ}[/tex]

[tex]z^{\circ}=140^{\circ}[/tex]

Therefore, the value of z is 140 and option A is the correct choice.

Answer:

 Find out the true statement of the diagram.

To proof

The statement true about the diagram is

Ray KM is an angle bisector of ∠NKL

REASON

KM ia an angle bisector of ∠NKL.

angle bisector is a line which divide the an angle in two equal parts.

As shown in the diagram

KM divided the angle ∠ NKL

and also in the diagram

∠LKM =61°

∠MKN = 61°

that means KM divided ∠NKL in two equal angle

thus

Ray KM is an angle bisector of ∠NKL

Hence proved

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Step-by-step explanation:

Answer:

Ray KM is an angle bisector of NKL.

Step-by-step explanation:

edge 2022

Answer:

graph a

Step-by-step explanation:

you have to look at the numbers carefully and that was the only graph that showed everything

Answer:

Step-by-step explanation:

Jerry is driving at a steady speed on an highway.

After 2.5 hours he has driven = 150 miles.

speed = [tex]\frac{150}{2.5}[/tex] = 60 miles/hour

then after 5.5 hours he has covered 330 miles.

speed = [tex]\frac{330}{5.5}[/tex] = 60 miles/hour

Total time he has driven = 2.5 + 5.5 = 8 hours

total distance he covered = 150 + 330 = 480 miles.

Therefore, after 2.5 hours he covered 150 miles and after 8 hours he covered 480 miles with an steady speed of 60 miles/hour.

Graph A shows his constant speed and his distance covered varies with time.

Answer:

one spent $3,800 and the other spent $5,700

Step-by-step explanation:

first add the 3 and 2 so you get 5 then divide 9,500 into 5 which is 1900 then multiply that by 2  which is 3800 now we know one man spent $3800 then we do the same thing with 3 so we take 1900 and multiply it by three which is $5700

your answer is that one man spent $3,800 and the other spent $5,700

Answer: 27/12 or 2 3/12

Step-by-step explanation: First off we would need to find a common denominator, so all the fractions could be added together easily, and we could use a denominator of 12 because 6 times 2 equals 12, 4 times 3 equals 12, and 3 times 4 equals 12. So 5/6 would become 10/12, 3/4 would become 9/12, and 2/3 would become 8/12. So adding them all together would give you a sum of 27/12 or 2 3/12. Hope this helped!

Answer:

A = 21

Step-by-step explanation:

Hello

The triangle area is= (base*height)/2, so

A = (6*7)/2

A = 42/2

A = 21

Remember that a trinagle is the area of half square =D

Best regards

Is this an answer? I don’t think this is a question buddy

Answer:

x = 3, -2

Step-by-step explanation:

To help us factor, we can split the middle term up into the sum of the terms -3x and 2x:

[tex]x^2+(-3x)+2x-6=0[/tex]

From there, we can factor out an x from the first two term and a 2 from the last two to obtain the equation

[tex]x(x-3)+2(x-3)=0[/tex]

Factoring out an (x - 3) from each term gives us the equation

[tex](x-3)(x+2)=0[/tex]

At this point, we can divide by either x - 3 or x + 2 to obtain the two equations

[tex]x-3=0[/tex] and [tex]x+2=0[/tex]

Solving both for x gives us the solutions x = 3 and x = -2. We can verify these by substituting them back into the original equation:

[tex]3^2-3-6=0\\9-3-6=0\\6-6=0\\0=0[/tex]

[tex](-2)^2-(-2)-6 = 0\\4+2-6=0\\6-6=0\\0=0[/tex]

Answer:

The distance written as a decimal is 3.7

To write 3 7/10 miles as a decimal, multiply the whole number by the denominator and add the numerator, then write the result over the denominator. Simplify the fraction if possible.

To write the distance in decimal form, we need to convert the mixed number to a decimal. The given distance is 3 7/10 miles. To do this, we multiply the whole number, 3, by the denominator, 10, and add the numerator, 7. So, 3 multiplied by 10 plus 7 equals 37. Then, we write 37 over the denominator 10, giving us 37/10. Finally, we can simplify this fraction by dividing the numerator and denominator by their greatest common factor, which in this case is 1. Dividing 37 by 1 gives us 37, and dividing 10 by 1 gives us 10. Therefore, the distance of 3 7/10 miles can be written as the decimal 3.7 miles.

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Answer:

A

Step-by-step explanation:

We obviously can take out D and B, as roses are 31% while carnations are 19%. Since roses have a larger percentage, it obviously can't be less than carnations but 300 is beyond the logical answer. This leaves us with 69 or 93.   19% is 57, so a 12 percent rise will not equal an increase of only 12 flowers. Therefore, without even any calculations, I can confidently tell you that your answer is A.

Answer:

y = -5x - 21

Step-by-step explanation:

Given in the question,

equation of a parallel line

y = -5x + 6

point through which it passes

(-4,-1)

Step1

Find the gradient of the equation given, as it is parallel so it will have same gradient

equation of straight line

y = mx + c

where m is gradient

            c is y intercept

y = -5x + 6

m =-5

Step2

Find y-intercept

-1 = -5(-4) + c

-1 = 20 + c

c = -20 - 1

c = -21

Step3

form the equation

y = -5x - 21

Answer:

[tex]y=-5x-21[/tex]

Step-by-step explanation:

The given line has equation;

[tex]y=-5x+6[/tex]

This line is in the form  [tex]y=mx+c[/tex], where [tex]m=-5[/tex]

[tex](x_1,y_1)=(-4,-1)[/tex]

The required equation can be found using the formula;

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the given point and slope to get,

[tex]y+1=-5(x+4)[/tex]

Expand

[tex]y=-5x-20-1[/tex]

[tex]y=-5x-21[/tex]

Answer:

33.912 in

Step-by-step explanation:

find the area of the circle first by: multiplying 1.5squared X 3.14= 7.065

the multiply it by the height (4.8) = 33.912

The volume of the cylindrical can is 33.9292 cubic inches.

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. The volume is given by the formula -

V = π * [tex]r^{2}[/tex] * h

where V = volume of cylinder, r = radius and h = vertical height

It is said that the cylindrical can has a radius of 1.5 inches and a height of 4.8 inches.

Thus we have r = 1.5 inches and h = 4.8 inches .

⇒ Volume (V) = π * 1.5 * 1.5 * 4.8 cubic inches

∴  V = 33.9292 cubic inches .

Therefore, the volume of the cylindrical can is 33.9292 cubic inches.

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Answer:

So, Sam only asked 20 people in his entire middle school. That is a very small fraction of the amount of kids attending that school. He cannot say that video games is 75% of the entire school's favorite weekend activity if he only asked 20 people. To get a better, more valid result, he should ask around 100+ kids.

Step-by-step explanation: