An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer

Answer:

m and p

p and q

Step-by-step explanation:

both m and q are 71° so what plus 71 = 90; 19. therefore, m and p are complementary as well p and q.

Step-by-step explanation:

f(x)=(2×2)-3x+20

0=4-3x+20

0=-3x+24

3x=24

×=24÷3

x=8

Answer:

y = 3

Step-by-step explanation:

2x+6y=5x+4y   if x=2

2(2)+6y=5(2)+4y

4+6y=10+4y

-4     =-4

6y=6+4y

-4y=   -4y

2y=6

/2=/2

y=3

Answer:

$9.90

Step-by-step explanation:

$2.97 divided by 3 equal 0.99 cents

0.99 multiplied by 10 equal 9.90

Answer:

4.8cm

Step-by-step explanation:

a²+b²=c² where c is the hypotenuse so

Let's plug in those values

11²+b²=12²

b²=12²-11²

b²=23

b=4.8

Answer:

300/60=5 Hours

Hope it helps

Answer:

5hours

Step-by-step explanation:

................

300÷60

Answer:

Answer true or false and see what happens

Step-by-step explanation:

Answer:

<3 = 77⁰

Step-by-step explanation:

Since 77⁰ and <3 are interior angles, angles inside the parallel line are in the same. This means that <3 will be 77⁰.

Hope this helps and stay safe, happy, and healthy, thank you :) !!

?=103°

Answer:

<3+77=180 co interior angle

<7=180-77=103°

Answer:

Its A

Step-by-step explanation:

ez

Answer:

A

Step-by-step explanation:

y= -3x + 7

Answer: all

Step-by-step explanation:

Answer: You randomly choose two socks from a drawer, hoping they will match.

You draw two numbers from 1 to 10 from a hat without replacing them first.

Step-by-step explanation:

dependent events: compound events in which one event affects the likelihood of the other event

independent events:compound events in which one event does not affect the likelihood of the other event

Answer:

The correct option is (c).

Step-by-step explanation:

The given number is -0.904.

We need to represent the number in scientific notation.

Any number can be written in scientific notation as follows :

[tex]a\times 10^b[/tex]

Where

a is a real number and b is an integer

We can write it as follows :

[tex]-0.904=-9.04\times 10^{-1}[/tex]

Hence, the correct option is (c).

Answer:

Monday hours        +    Thursday hours         =      Total hours

            1 1/2                 +        2 3/4                   =       3 +    (? how do you add 1/2+3/4)

 Now, you could convert to all improper fractions:

               3/2                 +        11/4

               6/4                 +         11/4               [4 is the Least Common Multiple of 2 and 4]

                           17/4

                           4 1/4                                   [then back to mixed numbers]

 Or. you could add 1+2=3

     and    1/2  +  3/4

              2/4   +  3/4

                    5/4

                 1 1/4        [convert to mixed number]

         3 + 1 1/4  = 4 1/4        [remember to add the 3]

Step-by-step explanation:

Answer:

Solve for y.

y= −5+2x

Rewrite in slope-intercept form.

y=2x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x y

0 −5

5/2 0

Graph the line using the slope and the y-intercept, or the points.

Slope: 2

y-intercept: (0,−5)

x y

0 −5

5/2 0

Step-by-step explanation:

Hope it is helpful....

Answer:

[tex]A=150\ cm^2[/tex]

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]

So, the area of the triangle is equal to [tex]150\ cm^2[/tex].

Answer:

D

Step-by-step explanation:

You can see that the hanger is perfectly balanced

So that means that:

5 ones = 2 x's

So:

1+1+1+1+1=x+x

simplified

2x=5

D

Answer:

Listen to music or watch a video about what your about to study. Or do what I do... eat while studying

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 3 5 7 11 13 17 19 23 29

The sum = 129

Answer:

36

Step-by-step explanation:

you have to multiple and find the other area

Total number of children are 116 and adults are 160.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Let the number of children entered in park = x

And the number of adults entered in park = y

Fee for children = $20

Fee for adults = $35

According to given condition,

Total number of people = 276

⇒x+y = 276     (1)

Total fees collected = $7620

⇒20x+35y = 7620      (2)

By solving equation (1) and (2),

The value of x is 116

And value of y is 160

Total number of children are 116 and adults are 160.

To know more about Equation on:

https://brainly.com/question/187506

#SPJ2

Answer:

There is a sufficient evidence that the coefficient b1 is not zero

There is a sufficient evidence that the coefficient b2 is not zero

Step-by-step explanation:

Given

[tex]n = 30[/tex]

[tex]b_1 = 2.815[/tex]

[tex]Sb_1 = 0.75[/tex]

[tex]b_2 = -1.249[/tex]

[tex]Sb_2 = 0.41[/tex]

[tex]\alpha = 0.05[/tex]

Claim: Coefficient is zero

The null and alternate hypotheses are:

[tex]H_0: \beta_1 =0\\\\H_1: \beta_1 \ne 0[/tex]

The test is two tailed because the alternate hypothesis contains [tex]\ne[/tex]

Calculate the rejection region

[tex]P(t < -t_0) = P(t > t_0) = \frac{\alpha}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = \frac{0.05}{2}[/tex]

[tex]P(t < -t_0) = P(t > t_0) = 0.025[/tex]

Calculate the degrees of freedom

[tex]df = n -2[/tex]

[tex]df = 30 -2[/tex]

[tex]df = 28[/tex]

On the student's T distribution table, the t value at 28 and column with [tex]\alpha = 0.05[/tex] (two tailed) is:

[tex]t\ value = 2.048[/tex]

The rejection value will contain all value lesser than -2.048 and all values greater than 2.048.

So: We reject [tex]H_0[/tex] when [tex]t < -2.048[/tex] and [tex]t >2.048[/tex]

Testing the first independent variable

Calculate test statistic

[tex]t = \frac{b_1 - 0}{Sb_1}[/tex]

[tex]t = \frac{2.815 - 0}{0.75}[/tex]

[tex]t = \frac{2.815 }{0.75}[/tex]

[tex]t = 3.753[/tex]

[tex]t = 3.753 > 2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Testing the second independent variable

Calculate test statistic

[tex]t = \frac{b_2 - 0}{Sb_2}[/tex]

[tex]t = \frac{-1.249 - 0}{0.41}[/tex]

[tex]t = \frac{-1.249 }{0.41}[/tex]

[tex]t = -3.0463[/tex]

[tex]t = -3.0463 < -2.048[/tex]

This implies that, we reject [tex]H_o[/tex] and accept [tex]H_1[/tex]

There is a sufficient evidence that the coefficient b2 is not zero

Answer:

United States federal law signed into law by President Bill Clinton on May 20, 1993, and which came into effect on January 1, 1995.

Step-by-step explanation:

Hope It Helps :)

Answer:

it is B

Step-by-step explanation:

hope it helps :) have a nice day!

Answer:

B

Step-by-step explanation:

Answer:11,15

Step-by-step explanation:

x axis is 11

y axis is 15

y axis stands talll

x axis lays down

Answer: 1.25 minutes per lap

Step-by-step explanation:

Her total time divided by total laps is 15 divided by 12, which is 1.25

Answer:

Kenith runs 0.8 laps a minute

Step-by-step explanation:

Answer:

Missing dimension is 6

Step-by-step explanation:

2.5 times 4 is 10, to get to 60, your missing 6, 60/10=6