A football player throws a ball down the side line. The ball's height above the
ground is modeled by the equation h=-8t^2+24t+4, where h is the height
in feet and t is the time in seconds.
At what two times will the ball be at a height of 16 feet?

Answers

Answer 1

Answer:  t₁=1.5-0.5√3 c ≈0.634 c       t₂=1.5+0.5√3 c ≈2.366 c

Step-by-step explanation:

h=-8t²+24t+4      h=16 feet     t₂=?

\(16=-8t^2+24t+4\\\\16-16=-8t^2+24t+4-16\\\\0=-8t^2+24t-12\\\)

Divide both parts of the equation by -4:

\(0=2t^2-6t+3\)

Thus,

\(2t^2-6t+3=0\)

a=2     b=-6    c=3

D=b²-4ac

D=(-6)²-4(2)(3)

D=36-24

D=12

√D=√12

√D=√(4*3)

√D=2√3

\(t=\frac{-bб\sqrt{D} }{2a} \\\\t=\frac{-(-6)б2\sqrt{3} }{2(2)} \\\\t=\frac{6б2\sqrt{3} }{4} \\\\t_1=1.5-0.5\sqrt{3}\ c \\\\t_2=1.5+0.5\sqrt{3}\ c\)

A Football Player Throws A Ball Down The Side Line. The Ball's Height Above Theground Is Modeled By The

Related Questions

Determine the product of (4.2 × 10–1) ⋅ (5.7 × 10–1). Write your answer in scientific notation. Question 7 options: A) 239.4 × 10–1 B) 2.394 × 10–1 C) 23.94 × 10–1 D) 239.4 × 10–2

Answers

Answer:

Its B

Step-by-step explanation:

B is the proper answer in scientific notation and scientific notation is only one decimal placed

The most common form of scientific notation inserts a decimal point after the first significant digit

Reflect (6,-4) across the -axis. Then reflect the result across the -axis. What are the coordinates of the final point?”

Answers

The coordinates of the final point after the reflections across the x-axis twice is (6, -4)

What are the coordinates of the final point?

Reflecting a point across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate.

So reflecting (6,-4) across the x-axis gives us the point (6,4).

Reflecting this result again across the x-axis means that we keep the x-coordinate the same, but change the sign of the y-coordinate again.

So reflecting (6,4) across the x-axis gives us the point (6,-4).

Therefore, the final point after both reflections is (6, -4).

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Katie uses the equation y = 30x + 70 to model the data.what is the meaning of the slope of the linear model

Answers

Answer:

Step-by-step explanation:

What is the x - intcrcept for the following equation? y=-3​

Answers

The given equation, y = -3 is the equation of a horizontal line (y = b) with a slope of zero. The attached screenshot shows the graph of the given equation.

The x-intercept is the point on the graph where the line crosses the x-axis, with coordinates of (a, 0).

Linear equations involving horizontal lines always have the same y-coordinate regardless of its corresponding x-coordinate.

Hence, the given equation, y = -3 has the same y-coordinate of -3. Since it represents a horizontal line at y = -3, it is below the x-axis. This means that it will never cross the x -axis (please see the attached screenshot for your reference).

Therefore, y = -3 has no x-intercept.
What is the x - intcrcept for the following equation? y=-3

What is the value of the square root of 2 to the third decimal place?

Answers

Answer:

1.414

Step-by-step explanation:

can we express 1,012 as the sum of two consecutive number?​

Answers

Answer:

Step-by-step explanation:

Let's check if we can express it or not ;

Let the two consecutive number be x and x + 1 .

x + x + 1  =  1012

2x + 1 = 1012

2x = 1011

x = 505.5

Then two consecutive numbers are 505.5 and 506.5

It isn't said that number should be integer ? It can be anything . That is why " yes " would be the correct answer .

Is the equation a linear function?
y = -x + 3 +

Answers

A linear function is y=mx + b so yes (assuming + sign at end is accidental)

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Find the product and explain the process and reasoning.
0.67 x 0.3 =

Answers

Answer: 0.201

Step-by-step explanation:(0.67)(0.3)

0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.

A formula for calculating A, the area of trapezoid, is A = 1/2 h ( b + b ), where h is height of the trapezoid, and b1 and b2 are the lengths of the parallel sides. What is A when h=4 centimeters, b1 = 10 centimeters, and b2 = 5 centimeters ? A. 35 cm 2 B. 30 cm 2 C. 25 cm 2 D. 45 cm 2 ?

Answers

The area of the trapezium is 30 square centimeters at the values of h = 4 cm, b = 10 cm, and b' = 5 cm.

We can use the formula for the area of a trapezoid:

A = 1/2 * h * (b + b')

Substituting the given values, we get:

A = 1/2 * 4 cm * (10 cm + 5 cm)

Simplifying the expression inside the parentheses:

A = 1/2 * 4 cm * 15 cm

Multiplying:

A = 30 cm²

Therefore, when h = 4 cm, b = 10 cm, and b' = 5 cm, the area of the trapezoid is 30 square centimeters.

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Gina, Jared, and Edward sat on their grandmother's porch shelling peas for dinner. There were 2 big bowls of peas, and each person shelled an equal amount.
How many bowls of peas did each person shell?
PLSS HELP

Answers

Answer: 2/3 bowl

Step-by-step explanation: you divide the 2 bowls by 3 since there are 3 people

How many 11-card hands are possible with a 20-card deck?

Answers

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I NEED TO TURN IT IN TODAY

CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION I NEED TO TURN IT IN TODAY

Answers

Answer:

The answer is 833.65384615385

Step-by-step explanation:

make e the subject
e-5=2f

Answers

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

can someone please help me with this ?

can someone please help me with this ?

Answers

You need to match them in straight horizontal lines

Step-by-step explanation:

You need to replace the coordinates in the equations.

For example let's take (-6,-9) first. - 6 is the x coordinate and - 9 is the y coordinate. Let's replace it in the different equations and see which one is accurate.

Y = 2/3 x - 5 = 2/3×(-6) - 5 = - 9

(we were supposed to get y as - 9 and therefore this one is correct)

Our first match —> (-6,-9) & y = 2/3x - 5

Next coordinate, (-9,-11.5)

Replace in second because we found the first one already.

Y = 1/2 x - 7 = 1/2×(-9) - 7 = - 11.5

(y is supposed to be -11.5 so this one is correct too)

(-9,-11.5) & y = 1/2x- 7

Next coord, ( 4,-1)

Y = 6/8×(4) - 4 = - 1

(woah this one is correct too haha, why are they in the exact order-)

(4,-1) & y = 6/8 x - 4

Last ones left are the last two obviously but we can cross check.

Y = 4/8×(-8) + 1 = -3

Correct.

(-8,-3) & y = 4/8 x + 1

A theater sells t tickets at a price of p dollars each. The theater conducts a survey and predicts that if the price of each ticket is changed by $2, the number of tickets sold will change by 15 tickets. If n is the number of times the theater changes the ticket price by $2, the expression (p+ 2n) (t-15n) can represent the theaters's total revenue, in dollars. In this expression, what does (t-15n) represent?

A. the number of tickets that the theater will sell If the ticket price is increased by $2

B. the number of tickets the theater will sell if the ticket prices increased by $2n

C.the number of tickets the theater will sell if the ticket price is decreased by $15​

Answers

Answer:

B

Step-by-step explanation:

You have to look at the second term to be sure of the meaning of t - 15n

What the given term says is that the total number of tickets sold (p) will decrease by 15 times the number of increases that there are.

The other term says that the cost of 1 ticket will increase that each ticket will increase by 2 dollars for each change in the ticket prices providing that change is 2 dollars.

C is out of the question. The information talks about 2 dollars per increase which is the first term.

A is not quite correct. It implies there is exactly 1 ticket increase. The crorect answer is the ticket increases can be a number of times (n)

The answer is B

Answer:

The answer is B

Step-by-step explanation:

\(tanx^{2} -\frac{1}{3} =0\)

Answers

try snapping a pic of the problem and uploading it again? i can not see what you need help with

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

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Find two positive real numbers whose product is a maximum.
The sum of the first and three times the second is 42.

Answers

Answer:

21, 7

Step-by-step explanation:

1st number = x, 2nd number = y

Given x + 3y = 42    (1)

find maximum value of xy.

Multiply by x on (1), get

x^2 + 3xy = 42x

3xy = -x^2 + 42x = -(x^2 - 42x)

Make a perfect square,

3xy = -(x^2 - 42x + 21^2) + 21^2

3xy = 21^2 - (x - 21)^2

Note (x - 21)^2 is non-negative, so when x = 21, the right hand side has a maximum value of 21^2, so xy is a maximum.

Use (1) and x = 21, we get 21 + 3y = 42, 3y = 21, y = 7

Hence, the two positive real numbers are 21 and 7

Alberto changes 800 Argentine pesos (ARS) into dollars (S) when the rate is S1 - 3.8235 ARS
He spends $150 and changes the remaining dollars back into pesos when the rate is
SI - 3.8025 ARS.
Calculate the amount Alberto now has in pesos.

Answers

Answer:

Alberto now has 225.23 pesos

Step-by-step explanation:

800 (ARS) / 3.8235 = x(s)

x = 209.23 dollars (s)

209.23 dollars (s) - 150 dollars (s)

= 59.23 dollars (s)

59.23 * 3.8035 = 225.23 (ARS).

A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?

Answers

Answer:  if with 3.14 v= 37512.5333

if with pi v= 37531.56

Step-by-step explanation:

the formula is 1/3hπr^2

r= 2d so radius is 32

plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)

John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip

Answers

$26.40

ten percent is 88 divided by 10= 8.8

8.8 multiplied by 3 is 26.40

G

Where in the museum did Jake and Summer agree to meet?

at the Venus De Milo statue

at the museum cafe

in the Denon wing

at the portrait of the Mona Lisa

What’s the answer

Answers

Answer:

A) at the Venus De Milo statue

Step-by-step explanation:

do it

Jake and Summer agreed to meet in this specific part of the museum in the story Teen detectives:

At the Venus De Milo statue

Teen detectives story

This is a reading comprehension activity about the story Teen detectives, which follows the adventures of Jake and Summer.

Reading comprehension

In reading comprehension exercises, you have to read the text or story carefully, then read the exercise's instructions and finally select the key words that can help you understand the whole story better.

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For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?

Answers

The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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I need the area choices below

I need the area choices below

Answers

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

A triangle has vertices (0, 2), (3, 1), and (6.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth.​

Answers

Answer:

6 + 2√10 units.

Step-by-step explanation:

We can use the distance formula to find the distance between the points. The points are ,

(0,2)(3,1)(6,2)

Distance 1 :-

=> D₁ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₁ = √{ (0-3)² + (2-1)² }

=> D₁ = √{ 3² + 1² }

=> D₁ = √{ 9+1}

=> D = 10

Distance 2:-

=> D₂ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₂ = √{ (6-3)² + (2-1)² }

=> D₂ = √{ 3² + 1² }

=> D₂ = √{ 9 + 1}

=> D = 10

Distance 3 :-

=> D₃ = √{ (x₁ - x₂ )² + ( y₁ - y₂ )² }

=> D₃ = √{ (6-0)²+(2-2)²

=> D₃ = √6²

=> D = 6

→ Perimeter = D₁ +D₂ + D₃

→ Perimeter = √10 + √10 + 6

Perimeter = 6 + 210 units

Hence the perimeter is 6+210 units.

What is the HCF of 27 and 15

Answers

Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

5x3=15 and 3x9=27 so it’s 3.

solve the inequality and graph the solution.
4 |3x + 5| ≤ 16

Answers

The solution to the inequality is -3 ≤ x ≤ -1/3

Solving inequality with modulus

Given the inequality:

4|3x+5| ≤ 16

Let us simplify it by dividing both sides by 4 to get:

|3x+5| ≤ 4

Next, we can break the inequality into two cases, depending on whether 3x+5 is positive or negative:

First: 3x+5 ≥ 0

In this case, the inequality simplifies to:

3x+5 ≤ 4

Subtracting 5 from both sides, we get:

3x ≤ -1

Dividing by 3 (which is positive) gives:

x ≤ -1/3

Second: 3x+5 < 0

In this case, the inequality simplifies to:

-3x-5 ≤ 4

Adding 5 to both sides, we get:

-3x ≤ 9

Dividing by -3 (which is negative and requires us to flip the inequality), gives:

x ≥ -3

Therefore, the solution to the inequality is:

-3 ≤ x ≤ -1/3

The interval [-3,-1/3] is the solution set, and it includes all values of x between -3 and -1/3, including the endpoints.

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Which quadratic equation models the main cable
of the bridge correctly?
O y=0.048x^2 – 2494
y = 0.048x^2-6
y = 0.0048(x - 50)^2 + 6
y=0.0048(x - 6)^2 + 50

Which quadratic equation models the main cableof the bridge correctly?O y=0.048x^2 2494y = 0.048x^2-6y

Answers

Answer:

Y=0.0048(x-50)^2 + 6

Step-by-step explanation:

Someone got my answer deleted but it is right on edge, and i am sure because i took this problem already :)

Answer:

Option C is your answer Y=0.0048(x-50)^2 + 6

Step-by-step explanation:

Just completed it.

PLEASE HELP WILL GIVE BRAINLIEST

PLEASE HELP WILL GIVE BRAINLIEST

Answers

The value of n that satisfies the given polynomial expression is 10

Simplifying a polynomial expression

From the question, we are to determine determine the corresponding value of n in the simplified expression.

The given expression is

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

First, we will simplify this expression

(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)

(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)

(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)

Simplify further

(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)

(12x⁵ + (6 - 2n)x³ - 52nx² - 26)

By comparison with (12x⁵ - 14x³ - 520x² - 26)

(6 - 2n)x³ = - 14x³

and

- 52nx² = - 520x²

Solve (6 - 2n)x³ = - 14x³ for n

(6 - 2n)x³ = - 14x³

6 - 2n = - 14

6 + 14 = 2n

20 = 2n

n = 20/2

n = 10

Similarly,

Solve - 52nx² = - 520x² for n

52n = 520

n = 520/52

n = 10

Hence, the value of n is 10

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the graph shows two points from the table representing a proportional relationship. Which point corresponds to the last entry in the table?

Answers

Answer:

Step-by-step explanation: second point correspond to the last entry in the table

Solve the following equation by first writing the equation in the form ax^2 = C:
t² - 490
a. t = 49
b. t = +49
C. t = 7
d. t = +7

Answers

Answer: c.) t = 7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge 2021

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