The function h(t)=-16t^2+75t+80 models the height in feet, h, of a ball as it is thrown into the
air at time, t, in seconds. At which of the following times will the ball be 124 feet above the
ground?

Answers

Answer 1

Answer:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Step-by-step explanation:

[tex]124 = -16t^2+75t+80\\-16t^2+75t-44=0[/tex]

Solving for t using the quadratic formula we get:

[tex]t = 4\\[/tex]

or

[tex]t=0.6875[/tex]

Answer 2

The times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

What is meaning of the term function?an expression, rule, or law defining a connection between one variable (a independent variable) and the other (the dependent variable). Functions are common in mathematics and are required for the formulation of actual relationships with in sciences.

The function given for the height of the ball thrown is;

h(t) = -16t^2+75t+80

In which, h is the  height in feet,

t, is the time till ball is in air( in seconds. )

When height h = 124 feet.

Time t = ?

Put h = 124 in the given equation.

124 =  -16t^2+75t+80

On solving.

-16t^2+75t-44 = 0.

16t^2 - 75t + 44 = 0.

Solve the quadratic equation by the quadratic formula,

t = 4 and t = 0.68 seconds.

Thus, the times taken by the ball to be 24 feet above the ground is t = 4 and t = 0.68 seconds.

To know more about the function, here

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Related Questions

adding and subtracting matrices ​

Answers

Answer:

I NEED POINTS

Step-by-step explanation:

I'm just gonna answer this.

PLEASE HELP
WILL GIVE BRAINLIEST

Answers

Answer:

The answer will be 1.25

Step-by-step explanation:

12 7/12 - 11/1/3 = 1.25

Hope this helps!

answer:
19/12

step-by-step explanation:
make fractions into like terms
1/3 can be 4/12
12 • 12
144 + 7
151/12
11 • 12
132 + 4
136/12
151 - 132
19/12

Jewan is setting up a monthly budget. His gross monthly income is $3125, but 20% is deducted for taxes. How much money is deducted in taxes, and how much is his monthly net pay?

Answers

Answer:

$625

$2500

Step-by-step explanation:

tax = percent of tax x income

0.2 x 3125 = 625

amount remaining = income - tax

3125 - 625

Plz help on this ASAP I forgot

Answers

Answer:

B) If you use 9 cups of almonds, you need 5 cups of flour

Step-by-step explanation:

If 9 is your x-coordinate, that represents 9 cups of almond.

If 5 is your y-coordinate, that represents 5 cups of flour.

Therefore, B is correct

find the volume of the cone above in terms of pi

Answers

192 pi
good luck :))))

Find the area of the Regular Octagon below and show all mathematical reasoning.

Answers

9514 1404 393

Answer:

  200√2 square units

Step-by-step explanation:

The area of a regular polygon with n sides and radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

Here, we have n=8 and r=10, so the area is ...

  A = (8/2)(10²)sin(360°/8) = 4·100·√2/2

  A = 200√2 . . . square units

Only answer if you're sure you have the correct answer for this problem, please solve correctly.

Answers

Answer:

first option: m= 532 - 57h

Step-by-step explanation:

comment if u need explanation :)

Which name best describes the polygon with vertices (0,0), (4,8), (12,8) and (16,0)?


A. Trapezoid
B. Square
C. Triangle
D. Pentagon


Answers

The name of the polygon with the vertices at (0,0), (4,8), (12,8) and (16,0) is a Trapezoid. Option A

How does a Trapezoid look like?

A trapezoid is a four-sided flat polygon.

It has two parallel sides that has different lengths. The other two sides are non-parallel and  also does have lengths.

A trapezoid has four angles, two of which are acute and two of which are obtuse.

A trapezoid's parallel sides are calld bases, while its non-parallel sides are called legs.

The height of a trapezoid is the perpendicular distance between its two bases. Trapezoids appear in a variety of sizes and forms, but its distinguishing feature is the presence of two parallel sides.

|             o                          o

|
|
|
|
|
|

|o___________________________o_

If you connect the "o" which represents the coordinates, you will draw a Trapezod.

Find more exercises that include a Trapezoid:

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what is
78x98=
34x65=
45x78=
23x65
11x98=
1,029x75,674=

Answers

Answer:

78x98 7644

34x65 2210

45x65 2925

23x65 1495

11x98 1078

1029x75674 77868546

Translate the expression: 3 times the difference between 7 and
g is 90

Answers

Answer:

3(7-g)=90

You multiply the expression by 3. The difference means to subtract two values. The whole equation equals 90.

8. Which choice is chord?
LG
CH
LM
CJ

Answers

Answer:

Step-by-step explanation:

LG: is a chord. Are there others?

CH: is a radius. C is the center of the circle.

LM: You have to draw in LM. LM would be a secant. It cuts the circle in exactly two places.

CJ: Anything coming from C and ending at the circumference is going to be a radius.

Rachel rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that one number cube lands on a 1 and the other lands on an even?

Answers

Answer:

4/6. out of 1 2 3 4 5 6 only 3 number are even.but it says lands on 1 and the other lands on even. so 3 +1 = 4. sorry if it doesnt make sense

Alaina surveys 75 of her classmates and finds that 48% of them like to eat tacos. She also finds that 60% of her 45 relatives like tacos. How many more
of her classmates like tacos as compared to her relatives?

Answers

Answer:  9 more of her classmates like tacos as compared to her relatives

Step-by-step explanation:

first mutiply 75 x 48 =3600

3600/100=36

Then, 45 x 60=2700

2700/100=27

and substract 36-27=9

thats the answer, hope this helped!

Geometry question on finding x.

Answers

Answer:

[tex] x =63^o[/tex]

Step-by-step explanation:

Given :-

[tex]\text{ $\overline{MN} $ and $\overline{ML}$ are tangents .}[/tex]

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]

Hence the value of x is 63° .

Which situation is most likely to have a constant rate of change?

Answers

Answer:

It's C ez claps

Step-by-step explanation:

HELP ME DEAR GOD-


Let H be the event that a coin flip lands with heads showing, and let T be the event that a flip lands with tails showing. (Note that P(H) = P(T ) = 0.5.) What is the probability that you will get heads at least once if you flip the coin ten times? Let A be the probability that heads appears at least once and B be the probability that heads does not appear.


If you flip the coin 10 times the probability you will get a heads at least once is ???

Answers

Answer:

The probability you will get a head at least once is 50%.

Step-by-step explanation:

Since the question is asking about the probability you will get, we can assume we’re answering based on theoretical probability. This type of probability is based on logic.

A coin always has two sides, one with head and the other with tails. So we can easily represent this as half and half. 1/2 as a fraction. 0.5 as a decimal. 50% as a percent. This means that P(H) will be equal to any one of these as they are all the same. The same can be said for the probability that a head does not appear, in other words, a tail appears. The reason being that the probability is split evenly between the two. This will again mean that P(T) will equal to any one of those.

So, A = 50% and B = 50%. The probability you will get a head at least once is 50%.

SARAH makes $43,000 per year, is single, and lives in Connecticut. She has $19,000 in subsidized loans and $8000 in unsubsidized loans.

Answers

Answer:

The standard repayment plan.

Step-by-step explanation:

Here is the complete question :

SARAH makes $43,000 per year, is single, and lives in Connecticut. She has $19,000 in subsidized loans and $8000 in unsubsidized loans. Which repayment plan will be the cheapest for her in total?

The standard repayment plan is a repayment plan where a fixed sum is paid monthly for 10 years. This makes a total of 120 payments. The advantage of the standard repayment plan over the federal repayment plan is that less interest is paid and payment is made over a shorter period

Because unsubsidized loans accrue a higher interest expense when compared to subsidized loans, Sarah should pay off her unsubsidized loan first. This would minimise interest payment

Below. What is m∠1?

m∠1 =

Answers

Answer:

m∠1 = 70°

Step-by-step explanation:

Step 1

Sum of angles on a straight line = 180°

Hence:

180° - 101°

= 79°

Sum of interior angles in a triangle = 180°

Therefore,

m∠1 = 180° - (79 ° + 31°)

m∠1 = 180° - 110°

m∠1 = 70°

pls help me out here! ty in advance!!

Answers

Answer:

the value for x=50

Step-by-step explanation:

180=74+56+x

180=130+x

x=50

If Amy has 5 apples and she eats 3 how many does she have left?

Answers

Answer:

2 apples.

Step-by-step explanation:

Answer:

She has 2 more apples left!

Step-by-step explanation:

Simple: this is the equation: 5 - 3 = 2!

find the square root of the following:
a. 1434/25

Answers

Answer:

7.57363849

Step-by-step explanation: square root of 57.36 = 7.57363849

Answer:

1434/25 is 57.36 the square root of 57.36 is 7.57

Which statements apply to the expression (3/5^3) cubed? Check all that apply.

Answers

Answer:

The true statements are

3/5 is the base

3 is the exponent

(3/5)³ = 3/5 × 3/5 × 3/5

(3/5)³ = 27/125

Step-by-step explanation:

Let a and b be any integer, given the expression;

[tex]a^b[/tex]

a is the base

b is the exponent

Similarly if we have;

[tex]a^3[/tex]

This means we can multiply a in three places as shown;

[tex]a^3 = a \times a \times a[/tex]

Applying this to the given expression

[tex](\frac{3}{5} )^3 = \frac{3}{5} \times \frac{3}{5} \times \frac{3}{5} \\Also\\(\frac{3}{5} )^3 = \frac{3 \times 3 \times 3}{5 \times 5 \times 5} \\(\frac{3}{5} )^3 = \frac{27}{125}[/tex]

The base value will be 3/5 and the exponent is 3

Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1


15 points pls I need ASAP

Answers

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

the answer is A because the first intercept would be at positive three

Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *

Answers

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace

Answers

Answer:

Equation for the skating palace

= 6 + 2x

Step-by-step explanation:

Let the number of hours = x

For skating palace, the equation is written as:

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.

$6 + $2 × x

= 6 + 2x

For Mathland , the equation is written as:

Mathland skating rink charges $4.00 an hour to skate .

$4 × x

= 4x

Therefore, the equation that represents the situation on the skating palace is :

6 + 2x

How do I solve this problem?

Answers

Step-by-step explanation:

Solution:

Given,

t1( first term ) a = -15

t2( second term ) b = -9

CD(Common Difference) = ?

We know,

CD = b - a

= -9 - ( - 15 )

= -9 + 15

= 6

Now,

t1 = -15

t2 = -9

t3 = -3

t4 = 3

t5 = a + ( n - 1 )CD

= -15 + ( 5 - 1 ) 6

= -15 + 24

= 9

t50 = a + (n - 1 ) CD

= -15 + ( 50 - 1 ) CD

= -15 + 49 × 6

= -15 + 284

= 269

So the sum of t50 is 269.

What is the value of x in the equation 2x + 3y = 36, when y = 6?
08
9
27
36​

Answers

2x+3(6)=36
2x+18=36
subtract 18 both sides
2x=18
x=9

A straw is placed inside a rectangular box that is 2" x 6" x 8". If the straw fits exactly into the box diagonally from the bottom left corner into the top right back corner how long is the straw?

Answers

Answer: [tex]10.2"[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular box is [tex]2"\times 6"\times8"[/tex]

If the Straw  fits exactly into the box diagonally

So, the length of the longest diagonal of the rectangular box is equal to the length of the straw i.e.

[tex]\Rightarrow l=\sqrt{2^2+6^2+8^2}\\\\\Rightarrow l=\sqrt{4+36+64}\\\\\Rightarrow l=\sqrt{104}\\\Rightarrow l=10.19\approx 10.2"[/tex]

The tables show the number of hours students
studied and the number of questions answered
correctly on a quiz. Which table shows a
proportional relationship?

Answers

You didn’t include pictures.????

Melissa has 120 vanilla cake pops to sell. Each vanilla cake pops is covered with one topping. 1/2 ​ of the cake pops are covered with chocolate sprinkles. 1/3​ of the cake pops are covered with strawberry sprinkles. * the rest are covered with green sprinkles. How many cake pops are covered with green sprinkles?

Answers

Answer:

The Answer is 20 cake pops are covered with green sprinkles.

Step-by-step explanation:

So if you have 1/2 choclate, 1/3 strawberry, and the rest are green, you first need to convert the Chocolate and the Strawberry into the same fraction. As shown:

Chocolate: 1/2=3/6

Strawberry:1/3=2/6

The rest are Green sprinkles.

So, your equation would be:

Chocolate sprinkles + Strawberry Sprinkles + Green Sprinkles = Total

And their are 5/6 of Chocolate and Strawberry Sprinkles...

That would mean 100 Chocolate and Strawberry Sprinkles!

Because 1/6 of 120 is 20 and multiply that by five and you have 100...

Now that we have that, and we know the rest are green...

we just do 120-100=20

So their you go!

Sorry its long but hope it helps! <3

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