14. The referee at a college football game is standing 12 yards behind the ball. The
back judge is standing 22 yards in front of the ball. The field judge is standing
exactly halfway between them. Using coordinates to model the situation, find
how far in front of the ball the field judge is. Explain.

Answer:

7.4secs

Step-by-step explanation:

If the path of a swim team member is modeled by the equation

h(t) = -0.875t²+5.25t+14

where t is time in seconds and h is the height above the surface of the water

If she need to finish in no later than 5feet above the surface, the expression will become:

-0.875t²+5.25t+14≤5

-0.875t²+5.25t+14-5≤0

-0.875t²+5.25t+9≤0

Rewriting using fraction

-7/8t²+21/9t+9≤0

To get the time that this happens we will need to factorize the resulting expression above;

On factorising

Find the roots of the equation using the formulas

t = 3+3√105/7

t = 3+ 3(10.25)/7

t = 3 + (30.75)/7

t = 3 + 4.393

t = 7.393

t = 7.4secs

Hence this happens at t = 7.4secs

Answer:

The time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Step-by-step explanation:

You want to know when a member of the swim team finished his jump no later than 5 feet above the surface of the water to prepare for the splash, that is, when t is 5 feet above the surface of the water. Substituting h(t) for this value 5 in the equation you obtain:

5= -0.875*t²+5.25*t+14

A quadratic equation has the general form:

a*x² + b*x +c= 0

where a, b and c are known values ​​and a cannot be 0.

Taking the equation 5= -0.875*t²+5.25*t+14 to that form, you get:

 -0.875*t²+5.25*t+14-5=0

  -0.875*t²+5.25*t+9=0

The roots of a quadratic equation are the values ​​of the unknown that satisfy the equation. And solving a quadratic equation is finding the roots of the equation. For this you use the formula:

[tex]\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]

In this case, solving the equation is calculating the values ​​of t, that is, you find the time when the swim team member is 5 feet above the water surface.

Being a= -0.875, b=5.25 and c= 9, then

[tex]\frac{-5.25+-\sqrt{5.25^{2}-4*(-0.875)*9 } }{2*(-0.875)}[/tex]

[tex]\frac{-5.25+-\sqrt{27.56+31.5 } }{-1.75}[/tex]

[tex]\frac{-5.25+-\sqrt{59.06 } }{-1.75}[/tex]

[tex]\frac{-5.25+-7.685}{-1.75}[/tex]

Then:

[tex]t1=\frac{-5.25+7.685}{-1.75}[/tex] and [tex]t2=\frac{-5.25-7.685}{-1.75}[/tex]

Solving for t1:

[tex]t1=\frac{2.435}{-1.75}[/tex]

t1= -1.39 ≅ -1.4

Solving for t2:

[tex]t2=\frac{-12.935}{-1.75}[/tex]

t2= 7.39 ≅ 7.4

Since time cannot be negative, the time when the swim team member is 5 feet above the water surface is 7.4 seconds.

Answer:A= 21 cm2

                = 3.25 in2

                = 3 in2

Step-by-step explanation:

2.8 in = 7.112 cm

          = 7 cm

A        =  [tex]\pi[/tex][tex]r^{2}[/tex] * [tex]\frac{49}{360}[/tex]

          = 22/7*7*7*49/360

          = 20.96

          = 21 cm2

Answer:

25%

Step-by-step explanation:

find the differences between original price $4000 and the altered price $5000.

$5000 - $4000 = $1000

to find the tax percent charged, take the difference price, divide by the original price and multiply with 100, ( to find percentage, it is a must to multiply with 100 ).

1000/4000 x 100

= 25%

so you will get 25 %

Based on the scholarships and grants that Jamal will receive, his estimated cost per year is $25,050.

If his family contributes $21,000, he will have to contribute $4,050.

If Jamal has $0 in savings, the amount to save each month is $337.50.

If Jamal has $1,000 in savings, the amount to save each month is $254.17.

If Jamal has $2,000 in savings, the amount to save each month is $170.83.

= Cost per year of private university - Scholarships - Work study program

= (25,100 + 8,000 + 1,300 + 750) - 8,200 - 1,900

= 35,150 - 8,200 - 1,900

= $25,050

= Estimated cost - family contribution

= 25,050 - 21,000

= $4,050

The amount that Jamal should save monthly can be found as:

= (Amount to contribute - Amount already saved ) / Number of months in year

If Jamal has $0, he should save:

= (4,050 - 0) / 12

= $337.50

If Jamal has $1,000:

= (4,050 - 1,000) / 12

= $254.17

If Jamal has $2,000:
= (4,050 - 2,000) / 12

= $170.83

Find out more on the cost of college at https://brainly.com/question/9299811.

Answer:

Step-by-step explanation:

- 6x + 7y = - 6 ⇒ 6x = 7y + 6 ...... (1)

6x - 8y = 12 ........ (2)

(1) ------> (2)

( 7y + 6 ) - 8y = 12

- y + 6 = 12

y = - 6 ------> (1)

- 6x + 7( - 6 ) = - 6

6x = - 42 + 6

x = - 6

( - 6 , - 6 )

Step-by-step explanation:

This question is not complete check well

Answer:

1100 milliliters.

Step-by-step explanation:

First, separate the numbers 275, it will be 200, 70, and 5.

Second, multiply 4x200, it equals 800

Third, multiply 4x70, it equals 280

Fourth, multiply 4x5, it equals 20.

Fifth, add them all together one by one like 280+20=300, then add 280+800 which is 1100.

Answer:

ECF and BCF (option 3)

Step-by-step explanation:

Complementary angles are angles that have degrees that add up to 90. From the picture, you can see that angle ECF and BCF put together form a right, or 90 degree angle, so that is your answer.

Hopefully this helps - let me know if you have any questions!

Answer:

x = 4 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

to find the solutions equate the quadratic to zero

x² - 8x + 11 = 0 ( subtract 11 from both sides )

x² - 8x = - 11

solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 11 + 16

(x - 4)² = 5 ( take square root of both sides )

x - 4 = ± [tex]\sqrt{5}[/tex] ( add 4 to both sides )

x = 4 ± [tex]\sqrt{5}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

48 :)

Step-by-step explanation:

Answer:

11 I'm pretty sure

Step-by-step explanation:

Answer:

No

Yes

No

Yes

Step-by-step explanation:

52-38<11

53-38<11

Both of these are no because they are greater than 11

Answer:

No

Yes

No

Yes

Step-by-step explanation:

put in the values instead of w and check if it is correct

[tex]52-38=14[/tex] which is not less than 11 so no

[tex]44-38=6[/tex] which is less than 11 so yes

[tex]53-38=15[/tex] which is not less than 11 so no

[tex]48-38=10[/tex] which is less than 11 so yes

Answer:

216

Step-by-step explanation:

6 * 6*6 = 216 possible outcomes

The number of outcomes for a rolling of cube three times = 216 outcomes

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

When rolling a six-sided number cube three times, we can calculate the total number of outcomes by considering the number of possible outcomes for each individual roll

Now , For each roll of the number cube, there are six possible outcomes

Since we are rolling the cube three times, we need to multiply the number of outcomes for each roll together:

Number of outcomes = 6 x 6 x 6 = 216

Hence , there will be 216 possible outcomes when rolling a six-sided number cube three times

To learn more about probability click :

https://brainly.com/question/17089724

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Answer:

I'm guessing you are saying 2r, t, and 2

If that is the case, then the terms are 2r, t, and 2.

Step-by-step explanation:

Terms are numbers in an equation, like terms is when you combine something that is the same variable.

Answer:

4

Step-by-step explanation:

absolute value, if it's a negative number, will be positive. if it's a positive number, it will stay positive.

Answer:

My guess 4

Step-by-step explanation:

i used to do this stuff but i thinks its 4

Answer:

It is possible.

Step-by-step explanation:

Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem

Answer:

19,200

Step-by-step explanation:

round 56 to 60 and round 324 to 320 then multiply the two numbers

Answer:

6(9+3)

Explanation:

Add 9 and 3 which is 9 + 3

THEN multiply by 6 which is 6(9 + 3)

I put parentheses because it's sayings to add first and then multiply!

Step-by-step explanation:

I guess the meaning is that after 3 more days the week will be over, and she has to reach her goal by then.

x = the average number of miles to ride each of the 3 days

x = (34.1 - 14)/3

the solution is

x = 20.1/3 = 6.7 miles

Answer:

Blue

Step-by-step explanation:

I graphed it, and got the same thing.

The length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.

The arc of the circle is defined as the product of the angle and the radius of the circle.

[tex]Arc=\theta \times r[/tex]

Now it is given in the question that

circle P, i.e. center is point P.

QS is a diameter with a length of 20 cm so radius =10 cm

Given that RP is the radius with

To find the length of arc QR =?

Now for finding the arc of QR we will find the angle [tex]\angle QPR[/tex] since we have the angle [tex]\angle RPS=123^o[/tex].

[tex]\angle QPR+\angle RPS=180[/tex]

[tex]\angle QPR+123=180[/tex]

[tex]\angle QPR=57^o[/tex]

[tex]\angle QPR=\dfrac{57\times\pi}{180} =0.99\ radian[/tex]

Now the formula for finding the arc will be given by

[tex]Arc \ (QR)=\angle QPR\times r[/tex]

[tex]Arc\ (QR)=0.99\times 10=9.9\ cm[/tex]

Thus the length of the arc of the QR which is formed in a circle from center P will be equal to 9.9 cm.

To know more about Arc of circle follow

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Answer:

make sure it’s acute

Step-by-step explanation:

since when you measure 90°​ the angle has to be acute

Answer:

Minimum

Need to know:

Derivative power rule: d/dx xⁿ = nxⁿ⁻¹

Derivative constant rule: d/dx c = 0

Step-by-step explanation:

A way to determine whether the quadratic equation has a maximum or a minimum is by graphing it.

If we look at the image below, we notice that the graph does not go to the bottom infinitely, but it keeps going up infinitely. This means there is a minimum to this graph.

Another way to determine this is through calculus.

First, we have to find the point of extremum

Find the derivative of the given equation

d/dx 4x² -  3x - 43

You can separate the terms and solve them individually

d/dx 4x² = 4(2)(x²⁻¹) = 8x

d/dx -3x = -3(1)(x¹⁻¹) = -3(1)(1) = -3

d/dx -43 = 0

y' = 8x - 3

Set y' to equal 0

8x - 3 = 0

Add 3 to both sides

8x - 3 = 0

    + 3   + 3

8x = 3

Divide both sides by 8

8x/8 = 3/8

x = 3/8

There is only one point of extremum

Now we have to test whether the equation changes from negative to positive or positive to negative

If it changes from negative to positive, that point is a minimum

If it changes from positive to negative, that point is a maximum

To find this, pick a number less than 3/8 and plug it in the place of x in the derivative equation. We'll use 0.

y' = 8(0) - 3 = -3

Now we will do the same for a number larger than 3/8. We'll use 1

y' = 8(1) - 3 = 5

Since the lesser side of 3/8 is negative and the larger side of 3/8 is positive, that means it changes from negative to positive. This point is a minimum.

Answer:

the order is 30,60,90,120

Step-by-step explanation:

its ten times 3 then u just keep adding the same amount every ten.

Answer:

A

Step-by-step explanation:

x g(x)

-2 1/36

-1 1/6

0 1

1 6

2 36

~

Answer:

False.

Step-by-step explanation:

Think of the number 12 which is 2 * 2 * 3.

Now square 12 to 144.

144 is a perfect square since it is the square of 12.

144 = 2 * 2 * 2 * 2 * 3 * 3

What are the factors of 144?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144.

That is a lot more than 3 factors.

Answer:

The value of B is 11 times the value of a.

Step-by-step explanation:

a =|   2    |   4   |    7    |   10    |

b =|  22  |   44  |    77  |   110   |

22          44       77          110

÷2          ÷4        ÷7         ÷10

---------   --------   -------     ---------

11            11           11           11

I hope this helps!

Answer:

see explanation

Step-by-step explanation:

from the table we can see that

the value of b is 11 times the value of a