Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x2 + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

Answers

Answer 1

Answer:

There is no actual question here, this is just a statement.

re-read the question .... i assume it says "what is the highest that she will get during a dive?"

highest point is at t = 33/32  

– 16(33/32)^2 + 33(33/32) + 4 =

62.015625

Step-by-step explanation:

Answer 2

Lindsey will be 30 feet in the air at approximately 1.09 seconds and 2.48 seconds.

To find the time at which Lindsey will be 30 feet in the air, we need to solve the quadratic equation y = -16x² + 33x + 45 for x when y = 30.

Setting y equal to 30, we have:

30 = -16x² + 33x + 45

Rearranging the equation, we have:

16x² - 33x - 15 = 0

To solve this quadratic equation, we can factor or use the quadratic formula. In this case, factoring might be more challenging, so we'll use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values from our equation, we have:

x = (-(-33) ± √((-33)² - 4(16)(-15))) / (2(16))

Simplifying, we get:

x = (33 ± √(1089 + 960)) / 32

x = (33 ± √(2049)) / 32

Calculating the square root of 2049, we have:

x = (33 ± √(2049)) / 32

x ≈ 1.09 or x ≈ 2.48

To learn more about quadratic equation click on,

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Complete question is:

Lindsey is a member of the swim team at a local university. She has been working hard to perfect her dive for an upcoming swim meet. Lindsey's dive can be modeled by the quadratic equation y = – 16x² + 33x + 45, where x is time in seconds, and y is Lindsey's height in the air in feet.

At what time will Lindsey be 30 feet in air?


Related Questions

This morning, Sam walked 4 kilometers in 50 minutes. At what rate did Sam walk?

Use the formula r = StartFraction d Over t EndFraction, where r is the rate, d is the distance, and t is the time,
0.08 kilometers per minute
12.5 kilometers per minute
46 kilometers per minute
200 kilometers per minute

Answers

Answer:

A 0.08 kilo per min

Step-by-step explanation:

This morning, Sam walked 4 kilometers in 50 minutes. At what rate did Sam walk?

Use the formula r = StartFraction d Over t EndFraction, where r is the rate, d is the distance, and t is the time,

0.08 kilometers per minute

12.5 kilometers per minute

46 kilometers per minute

200 kilometers per minute

which of the following equations is an example of direct variation?

Answers

Answer:

C

Step-by-step explanation:

[tex] \frac{x}{3} [/tex]

answer please and no links .....thank you​

Answers

Answer:

8,3,-1,3,15

Step-by-step explanation:

y=x^2-1

y(-3)=8

y(-2)=3

y(0)=-1

y(2)=3

y(4)=15

4.
A turtle crawls 567 mm in 27 minutes. How far (measured in cm) can the turtle
crawl in a minute?

Answers

Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

There are 7 blue counters, 3 green counters and 1 red counter in a bag.
There are no other counters in the bag.
Hubert takes at random 2 counters from the bag.
Work out the probability that both counters are blue.

Answers

Answer:

21/55

Step-by-step explanation:

7 blue counters, 3 green counters and 1 red counter  = 11 counters

1st counter

P(blue)= blue / total = 7/11

Now there are only 10 counters

6 blue counters, 3 green counters and 1 red counter  = 10 counters

2nd counter

P(blue)= blue / total = 6/10 = 3/5

P(blue blue) = 7/11 * 3/5 = 21/55

Assuming you are creating a book with 549 pages with a size of 8.5in x 11in. how many words will the story be?
A student was conducting a study to determine how many pages he would need for the book he is writing. So, he found that the following number of words fit on each type of the following papers using an 11 point font:

Answers

Answer:

439,200 words

Step-by-step explanation:

800 words per 8.5 inches by 11 inches piece of paper

800 times 549 = 439,200 words

Sally collected 22 pounds of cans to recycle
and plans to collect 1.8 more pounds each
week. In this situation, what is the value of
the y-intercept?

Answers

Step-by-step explanation:

this is an example u can see and write it yourself...

i need B.

EMERGENCY THANK YOU VERY MUCH!!!

Answers

Answer:

A. Mean = 9.7 (take all the numbers and divide by 10)

Mode = 12

Range = 5

B. Unsure. Would suggest either Mean - average and can tell when bus is running late or early or Mode - highest and lowest time combined

Write an equation that represents the line.
Use exact numbers

Answers

Answer:

y = 5/6x + 8/3

Step-by-step explanation:

y = mx + b (m is the slope, b is the y-intercept)

(-2, 1) (4, 6)

m = change in y / change in x

m = 5/6

y = 5/6x + b

Plugging in (4, 6):

6 = 5/6(4) + b

6 = 20/6 + b

36/6 = 20/6 + b

36/6 - 20/6 = b

b = 16/6

b = 8/3

y = 5/6x + 8/3

Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. This process continues through 3 more generations.

Answers

4x4=16 16x3=48 so I think the answer is 48

the volume of hemisphere is 1527.4cm^3.find the radius of the hemisphere to the nearest whole whole number.(take π to be 22/7)​

Answers

Answer:

radius of the hemisphere = 9 cm approx

Step-by-step explanation:

Volume of hemisphere = [tex]\frac{2}{3} \pi r^{3}[/tex]

1527.4 = [tex]\frac{2}{3} * \frac{22}{7} * r^{3}[/tex]

[tex]\frac{7*15274*3}{2*22*10}[/tex] = [tex]r^{3}[/tex]

[tex]\frac{320754}{440}[/tex] = [tex]r^{3}[/tex]

[tex]r^{3}[/tex] = 729

r = [tex]\sqrt[3]{729}[/tex]

r = 9 cm approx.

PLEASE EXTREMELY URGENT!!!
what is the solution to -2(8 x - 4) < 2x + 5

o x>1/6
o x<1/6
o x>6
o x<6

Answers

Answer:

1/6 <x

Step-by-step explanation:

-2(8 x - 4) < 2x + 5

distribute

-16x+8 < 2x+5

Add 16x to each side

-16x+16+8 < 2x+16x+5

8<18x+5

Subtract 5 from each side

8-5 < 18x+5-5

3<18x

Divide by 18

3/18 <18x/18

1/6 <x

I think it migth be the first one

give me brainlieSt

it is 1/6

Please help asap!!!!

Answers

Answer:

1. B,D

2. D

3. C

4. J

Step-by-step explanation:

If the density of the wood is 3 pounds per cubic foot and if the weight of the solid is
360 pounds, what is the width, w, in feet, of the solid?
(A) 5.0
(B) 2.5
(C) 2.4
(D) 1.5

The area of the triangular face of the solid is 48 if that helps

Answers

The width in feet of the given solid is 1.136

Density is defined as the ratio of the mass per unit volume

Density = Mass/Volume

Given

Weight = 360 pounds

Density = 3 pounds per cubic foot

Get the mass;

Since W = mg

m = W/g

m = 360/2.2

m =163.64  lbm/kg

Get the volume

From the formula;

Volume = Mass/Density

Volume = 163.64 /3

Volume = 54.55 ft³

Next is to get the width

Volume of the triangular prism = Base Area * Width

Base Area = 48ft²

54.55 = 48w

w = 54.55/48

w = 1.136

Hence the width of the solid in feet is 1.136ft

Learn more on how to calculate density here https://brainly.com/question/17887628

I'm stuck on here, please, someone help me.

Answers

Answer:

Answer B

Step-by-step explanation:

therw is one full one and one with five

Triangle LMN is dilated by a factor of 1.25 to create triangle PQR what is the length of PQ A 20 cm B 18.75 cm C 17 cm di 12 cm

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]\triangle LMN \to \triangle PQR[/tex]

[tex]k = 1.25[/tex]

Required

The length of PQ

[tex]\triangle LMN \to \triangle PQR[/tex] means that the side lengths of LMN are multiplied by 1.25 to get the side lengths of PQR

And it implies that the following sides are corresponding

[tex]LM \to PQ[/tex]

[tex]MN \to QR[/tex]

[tex]LN \to PR[/tex]

So, we have:

[tex]PQ = k * LM[/tex]

[tex]PQ = 1.25* LM[/tex]

The question is incomplete.

Assume LM = 16, then:

[tex]PQ = 1.25* 16[/tex]

[tex]PQ = 20[/tex]

Problem 2 Find the mBC.

Answers

Answer:

38º

Step-by-step explanation:

<BAC is a central angle. The corresponding arc, BC will be equal to the measure of the central angle.

So mBC = 38º

The lines below are perpendicular. If the slope of the green line is ž, what is
the slope of the red line?
-5
5
m =

Answers

Answer:

B or (-2/3)

Step-by-step explanation:

Perpendicuar lines have negative inverse slopes SO

3/2 ---> -2/3

Find the indicated side of the right triangle

Answers

Answer:

Step-by-step explanation:

tan30°=3/x

xtan30°=3

x=3/tan30°

x= 5.2


Please help me find the area of this figure! Thanks!!

Answers

Answer:

Step-by-step explanation:

Figure consists of three parts; one Triangle , one   rectangle and  a square.

Triangle:

Base = b = 13+9 = 22 cm

height =  16 cm

[tex]Area \ of \ triangle = \frac{1}{2}* b*h\\\\= \frac{1}{2}*22*16\\\\= 11 *16\\\\= 176 \ cm^{2}[/tex]

Rectangle 1:

length = 14 cm

Width = 4 cm

Area of R1 = length * width = 14 * 4 = 56 cm²

Area of Square R2:

side = 8 cm

Area of square = side * side = 8 * 8 = 64 cm²

Area of shaded region = 176 + 56 + 64 = 296 cm²

The function m is given in three equivalent forms.
Which form most quickly reveals the zeros (or "roots") of the function?
Choose 1 answer:
m(x) = 2(x +4)^2 – 8
m(x)= 2x^2 + 16x + 24
m(x)=2(x+6)(x+2)

Write one of the zeros

Answers

Definitely C, the last one

The greatest number which on dividing 1657 and 2037 leaves nemainder 6 ands respectively is?​

Answers

Answer:

It would be 127

Step-by-step explanation:

We see that they only have 127 common in their prime factorization. Hence, HCF(1651, 2032) = 127. Hence, the greatest number which divides 1657 and 2037 leaves a remainder of 6 and 5 respectively is 127.

The GCF of 10 and 18 is 6.
TRUE
FALSE

Answers

Answer:

False

Step-by-step explanation:

Because the gcf of 10 and 18 is 2

Answer:

False

Step-by-step explanation:

Any factor of a number must evenly devide into the number. 6 does not even divide into 10, so no. The GCF of 10 and 18 is 2.

4. Find the range of the number line shown below. ​

Answers

Answer:

I think is 4

Step-by-step explanation:

a. 51 b.102 c.112 d.258

Answers

Might need to add the question with the multiple choice

What is five ones and eight tenths greater than or less than or equal to fifty eight tenths

Answers

Answer:

definetely 2

Step-by-step explanation:

Answer:

Less than

Step-by-step explanation:

Five ones and eight tenths simplifies to 85 and fifty eight tenths simplifies to 580. So, here you can clearly see 85 < 580.

Hope this helps! :)

Can the quotient of two irrational numbers ever be a rational number?

Answers

Answer: Yes, it can.

Step-by-step explanation:

3π / 2π = 1.5

√20 / √5 = 2

I guess it can.

order the following expressions by their values from least to greatest

Answers

N-Q, N, Q-N

Explanation: N=-2/Q=1
Equations:
-2-1=-3(N-Q)
-2(N)
1- -2=3(Q-N)

Evaluate 10 + 8 ÷ 2 − 4

Answers

Step-by-step explanation:

we will solve this question according to BODMAS rule...

B for bracket

O for of

D for division

M for multiplication

A for addition

S for Subtraction

10+4-4

14-4

10 Answer..

Answer:

10

Step-by-step explanation:

Using order of operations as stated in PEMDAS , that is

division is performed before addition/ subtraction , then

10 + 8 ÷ 2 - 4

= 10 + 4 - 4

= 14 - 4

= 10

Plzzz help 10 points and will mark brainiest
hint: answer is a fraction

Answers

Answer:

1/3

Step-by-step explanation:

The left side of FA is 6 units.

The left side of FB is 2 units.

From 6 to 2, you divide by 3.

Same for the top,

FA is 9 units, while FB is 3 units.

I hope this helps!

pls ❤ and mark brainliest pls!

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