PLEASE SOMEONE HELP!!

Using the vertex of the quadratic equation, it is found that a maximum height of 78.75 feet is reached after 2.13 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the height is modeled by:

h(t) = -16t² + 68t + 6.5.

The coefficients are a = -16, b = 68, c = 6.5, and the vertex will be given by:

[tex]x_v = -\frac{b}{2a} = -\frac{68}{-32} = 2.13[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a} = -\frac{68^2 - 4(-16)(6.5)}{-64} = 78.75[/tex]

A maximum height of 78.75 feet is reached after 2.13 seconds.

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Answer:

The base is a triangle with a base length of 11 m and a corresponding height of 7 m. The height of the prism is 14 m. 12.

Prime

Hope it helps.

Do comment if you have any query.

Answer:

prime

Step-by-step explanation:

I tried to delete my answer

Using the Newton's law of cooling, the time it takes to cool to 100°F is 116 mins.

According to the Newton's law of cooling, the when an object is exposed to the surrounding it looses heat rapidly untill it is at a thermal equilibrium with the suurroundings.

Now;

T(t) = T(s) + (To - Ts)e^-kt

T(t) = temperature at time T

To = initial temperature

Ts = temperature of the surrounding

k = colling constant

t = time taken

200 = 68 + (230 - 68)e^-15k

200 = 68 + 162e^-15k

200 - 68/162 = e^-15k

ln(0.815) = -15k

k = ln(0.815)/-15

k = 0.014 min-1

Now;

100 = 68 + (230 - 68)e^-( 0.014t)

100 -68/162 = e^-( 0.014t)

0.198 =e^-( 0.014t)

ln(0.198) = -( 0.014t)

t = ln(0.198)/-0.014

t = 116 mins

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Answer:

27.8 nearest tenth pints

To find, divide the value by 16

Answer:

Step-by-step explanation:

According to definition of the function, each input must have exactly one output.

One of the given relationships - T-shirt prices reveals two outputs.

All the rest show one-to-one relationship.

Answer:

16 quarters

Step-by-step explanation:

4 x 4 = 16

$1 = 4 quarter

Flynn has 16 quarters.

Solution:

D. y = –0.5x + 5

In this chart, the slope, (m):

[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\hookrightarrow \sf \frac{-6-0}{-2-0}[/tex]

[tex]\hookrightarrow \sf \frac{-6}{-2}[/tex]

[tex]\hookrightarrow \sf 3[/tex]

Equation:

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

[tex]\hookrightarrow \sf y-(-6)= 3(x-(-2))[/tex]

[tex]\hookrightarrow \sf y+6= 3x+6[/tex]

[tex]\hookrightarrow \sf y+6-6= 3x+6-6[/tex]

[tex]\hookrightarrow \sf y= 3x[/tex]  

⇒ Thus we found in the chart, the slope is 3 and y-intercept : 0

From this D only has the greatest y-intercept than the chart.

Answer:

D

Step-by-step explanation:

Sorry if I'm late for the party, hope this helps anyways! :)

Answer:

n=9M, when m is 6,n=18

Step-by-step explanation:

If n is proportional to M

n=kM

27=3k

k=27/3

k=9

the formula on terms of n and M is

n= 9M

2) If m= 6,

n= 3M

n=3(6)

n=18

Answer:

n = 108

Step-by-step explanation:

given n is proportional to m² then the equation relating them is

n = km² ← k is the constant of proportion

to find k use the condition n = 27 when m = 3 , then

27 = k × 3² = 9k ( divide both sides by 9 )

3 = k

n = 3m² ← equation of proportion

when m = 6 , then

n = 3 × 6² = 3 × 36 = 108

Answer:✨Samantha✨

Step-by-step explanation:

Answer:

Step-by-step explanation:

given that a bag contains 6 balls labelled A to F.

Given that a ball is drawn at random and its letter is recorded as outcome.

Since each ball is equally likely to be drawn the sample space for one ball drawing is

S = {A,B,C,D,E,F} and n(S) = 6

Let G be the event of choosing a lable from D to F

G = The event of choosing a label from D to F= {D,E,F}  n(A) = 3

A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.

i.e. the sample space while flipping a coin is: {H,T}

The sample space while tossing a six-sided die is: {1,2,3,4,5,6}

Here it is given that:

A bag has six balls labeled:  A,B,C,D,E,F

One ball will be randomly picked, and its letter will be recorded as the outcome.

       This means that the sample space is given by:

                     Sample space={ A,B,C,D,E,F}

Now, when the event is choosing a letter from   D to F.

            Then the sample space is:

                     Sample space= {D,E,F}

Answer:

0.8L = red

0.64L = yellow

0.06L = white

Step-by-step explanation:

R : Y : W

20 : 16 : 1.5

20 + 16 + 1.5 = 37.5

1.5 ÷ 37.5 = 0.04

0.04 × 20 = 0.8L = red

0.04 × 16 = 0.64L = yellow

0.04 × 1.5 = 0.06L = white

Answer:

79.8

Step-by-step explanation:

Answer:

check the attachment and explanation below

Step-by-step explanation:

Explanation for statement 3 :

Suppose The number of shoppers on Saturday is 100 and the number of shoppers on Sunday is 200

Total number of shoppers = 300

On Saturday :

Q₃ = 70 then 25% of shoppers spent more then $70

then 25 shopper spent more then $70

On Sunday:

M’ = 70 then 50% of shoppers spent more then $70

then 100 shopper spent more then $70

On both days:

(100+ 25) shopper spent more then $70

Then 125 shopper spent more then $70

But 125 is not 75% of 100+200=300

Answer:

6

Step-by-step explanation:

8+4=12

12-6=6

Answer: It is the third to the top

Step-by-step explanation:

90's block each other out add you rotate it 180 degrees you get this.  

Answer:

[tex]3.14 \times 10 ^{3} < 2.6 \times 10^{3} [/tex]

Step-by-step explanation:

[tex]3.14 \times 10 ^{3} [/tex]

[tex]3140[/tex]

[tex]2.6 \times 10 ^{4} [/tex]

[tex]26000[/tex]

Answer:

I am positve it 2mph

Step-by-step explanation:

becuase for evry hr u drive 2 miles

Answer:

x=1 y=4
x=2 y=7
x=3 y=10

Step-by-step explanation:

To find the answer, you have to plug in the x-value for the equation to find y.

You will then find out that every time x increases by 1, y increases by 3.

Answer:

Step-by-step explanation:

First find the volume of the Cylinder, plug in the Radius (3), and the height (14) into the formula.

V= 3 x (3 squared) 9 x 14

V of Cylinder = 378 cm^3

V of Cone use the formula given,

V = [tex]\frac{3*9*5}{3}[/tex]

V = 45 cm^3

Add them together and you get 423 cm^3

Answer: the person above is wrong

Step-by-step explanation: Some ratios are not fractions.

and All fractions are ratios

Answer:

15.

Step-by-step explanation:

1) property:

m(∠B)+m(∠D)=180°;

2) according to the property:

3x+9x=180°; ⇒ x=15°

The value of x is 15 degree in the trapezoid ABCD.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles

A trapezoid is a quadrilateral with one pair of opposite sides parallel.

ABCD is a trapezoid.

We have to find the value of x in the given quadrilateral.

The sum of opposite angles of a quadrilateral is 180 degrees.

m(∠B)+m(∠D)=180°

From the figure m(∠B) is 3x and m(∠D) is 9x

3x+9x=180°

Combine the like terms

12x=180

x=15 degrees.

Hence, the value of x is 15 degree in the trapezoid ABCD.

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Answer:

Multiply the grade on the assignment by the grade weight. In the example, 85 times 20 percent equals 17, and 100 times 80 percent equals 80.

Step-by-step explanation:

Answer:

7176

Step-by-step explanation:

23 is a prime factor.

3 & 13 are the prime factors of 39.

2, 2, & 2 are the prime factors of 8.

Determine the max. number of times each prime factor occurs.

Calculate: 2^3 x 3 x 13 x 23 = 7176

Answer:

7,176

Step-by-step explanation:

The LCM of these numbers is found when you multiply the three numbers together: 23*39*8 = 7,176

Hope this helps!