Ying is a professional deep water free diver.
His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by:
D(x)=\dfrac{1}{36}(x-60)^2-100D(x)=
36
1

(x−60)
2
−100D, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 36, end fraction, left parenthesis, x, minus, 60, right parenthesis, squared, minus, 100
What is the lowest altitude Ying will reach?

Answers

Answer 1

Answer:

The lowest point is -100 meters, or 100 meters down

Step-by-step explanation:

D(x)=1/36(x-60)^2-100

This equation is in vertex form

y = a(x-h)^2 +k  where (h,k) is the vertex

Since a is positive, the parabola opens up

The vertex is the minimum, which means it will be the lowest point

The vertex is (60,-100)

The lowest point is -100 meters, or 100 meters down

Answer 2

Given expression

y=1/36(x-60)²-100

Compare to the vertex form

y=a(x-h)²+k

We get

.

a=1/36(h,k)=vertex=(60,-100)

As a is positive parabola is opening upwards and vertex is minimum

Lowest altitude is -100m


Related Questions

a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price

Answers

Answer:

at first subtract 80 from 112 then divide it by 80 after that multiply it by 100%

Find the length of the segment AB.
Plz help!!! I’ll give you brainliest.

Answers

Answer:

Its 5 i think? You just count how many units from point A to Point B is.

The answer to the question is be 5

Are points N, R, S, and W coplanar? Explain.

Answers

Two or more points are said to be coplanar if they all lie on the same plane.

Based on the given diagram, we can see that the points N, R, S, and W all lies on the same plane A. Due to this fact, we can conclude that N, R, S, and W are coplanar.

Assuming any of the four points fall outside plane A, then we can say they are not coplanar.

Based on the explanation above, we can conclude that points N, R, S, and W all lie on the same plane.

Learn more here: https://brainly.com/question/18174023

What is the sum of 5 numbers whose average is 5 more than 5?

Answers

Answer:

The sum of 5 numbers with an average of 5 more than 5 is 50

Step-by-step explanation:

Let the first five letters of the alphabet be equal to the 5 numbers being summed.

Let the average be represented by the following equation:

[tex]\frac{a + b + c + d + e}{5} = 10[/tex]

To find the sum, we should get rid of the denominator. To do that we multiply 5 on both sides

[tex]\frac{a + b + c + d + e}{5} (5) = 10(5)\\a + b + c + d + e = 50[/tex]

Therefore, we see to it that the sum of the 5 numbers is 50.

write another fraction that is equivalent to 4/5.

Answers

Answer:

8/10 could be one of the answers

You can multiply 4 and 5 by the same number and get alot of other answers

like 4/5× 5/5 which would have a fraction of 20/25 which would be equal to 4/5, its just bigger and more complicated really.

Help anyone can help me do this question,I will mark brainlest.

The question (g) is P(p,4p),Q(-2p,8p)
(h) is R(-2m,5m),S(-4m,-2m)​

Answers

Answer:

e)_/13

f)13

g)5p

h)_/53m

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

see explanation

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

(g)

with (x₁, y₁ ) = P (p, 4p) and (x₂, y₂ ) = Q (- 2p,8p)

d = [tex]\sqrt{(-2p-p)^2+(8p-4p)^2}[/tex]

   = [tex]\sqrt{(-3p)^2+(4p)^2}[/tex]

   = [tex]\sqrt{9p^2+16p^2}[/tex]

   = [tex]\sqrt{25p^2}[/tex]

   = 5p

------------------------------------------------------------

(h)

with (x₁, y₁ ) = R (- 2m, 5m) and (x₂, y₂ ) = S (- 4m, - 2m)

d = [tex]\sqrt{(-4m-(-2m))^2+(-2m-5m)^2}[/tex]

   = [tex]\sqrt{(-4m+2m)^2+(-7m)^2}[/tex]

   = [tex]\sqrt{(-2m)^2+49m^2}[/tex]

   = [tex]\sqrt{4m^2+49m^2}[/tex]

  = [tex]\sqrt{53m^2}[/tex]

 = m[tex]\sqrt{53}[/tex]

Find the vertex of the graph of the function.
f(x) = (x - 10)2 - 8 (2 points)
A. (10, -8)
B. (-8, 0)
C. (0, 10)
D. (-8, 10)

Answers

Answer:

A. (10, -8)

Step-by-step explanation:

Given function:

f(x) = (x - 10)² - 8

The vertex form of a quadratic function:

f(x) = (x - h)² + k, where (h, k) is the vertex

According to the above, the vertex of the given function is:

(10, -8)

Correct choice is A

Step-by-step explanation:

y=(x-10)²-8

General equation of parabola

vertex form is given by

y=a(x-h)²+k

On comparing we get

h=10k=-8

So vertex is at (10,-8)

HELPPPP PLSSS
Members of a lacrosse team raised $1814.75 to go to a tournament. They
rented a bus for $1168.50 and budgeted $58.75 per player for meals. Which
equation could be used to determine 2, the number of players the team can
bring to the tournament?

Answers

Answer: Choice B

x = (1814.75 - 1168.50)/(58.75)

==============================================

Explanation:

x = number of players

58.75x = cost of all the meals for those x players

58.75x + 1168.50 = adding on the cost of the bus

58.75x + 1168.50 = 1814.75

----------

Let's solve for x.

58.75x + 1168.50 = 1814.75

58.75x = 1814.75 - 1168.50

x = (1814.75 - 1168.50)/(58.75)

x = 11

This means 11 players can go on the trip.

1 player = $58.75 in meals

11 players = 11*58.75 = $646.25 total in meal costs

646.25 +  1168.50 = 1814.75

So this confirms the answer.

The correct equation to determine the number of players (x) the team can bring to the tournament is x = (1814.75 - 1168.5) / 58.75.So, the correct answer is B. x = (1814.75-1168.5)/58.75

The amount raised by the lacrosse team is $1814.75. They spent $1168.50 on the bus rental and budgeted $58.75 per player for meals. Let's break down the expenses:

Total expenses = Bus rental cost + (Number of players * Meal cost per player)

Total expenses = $1168.50 + (x * $58.75)

The equation that represents the total expenses in terms of the number of players (x) is: Total expenses = $1168.50 + $58.75x

Since the team raised $1814.75, we can set up the equation:

Total expenses = Amount raised

$1168.50 + $58.75x = $1814.75

Now, let's solve for x:

$58.75x = $1814.75 - $1168.50

$58.75x = $646.25

Dividing both sides by $58.75:

x = $646.25 / $58.75

x = 11

So, the correct equation to determine the number of players (x) the team can bring to the tournament is: B. x = (1814.75 - 1168.5) / 58.75

To know more about equation:

https://brainly.com/question/29657983

#SPJ3

Correct Question is:

Members of a lacrosse team raised $1814.75 to go to a tournament. They

rented a bus for $1168.50 and budgeted $58.75 per player for meals. Whichequation could be used to determine x, the number of players the team can bring to the tournament?

A. 1168.5x = 1814.75 - 58.75

B. x = (1814.75-1168.5)/58.75

C. x= (1168.5-1814.75)/58.75

D. 1814.75 = 58.75(x+1168.5)

the slop of the line shown below is 3/2 what is the value of a

Answers

Answer:

6, because the slope is equivalent to the value of a / 4. you see the run is 4, double of two, so the answer that makes sense is 6 as it is double of three.

Pls Help I need this in 10 mins

Answers

Answer:

Step-by-step explanation:

i think its D sorry if wrong!

a
Find the perimeter of the given square.
9.
4x
2x + 6

Answers

The answer is 12x + 12

9. 6(0.4 +0.3) =
I need it now!!!!!
:)

Answers

Answer:

4.2

Step-by-step explanation:

0.4+0.3=0.7

0.7x6=4.2

Answer:

4.2

Step-by-step explanation:

6(0.4+0.3)

=> 6(0.7)

=> 6 x 0.7

=> 4.2

Picture shown!
If P = (3,4), Find:
Rx-axis (P)

Answers

Answer:

not 100% up to speed on that notation, but if it means to

rotate over the x-axis then: (3,-4) would be the answer

Step-by-step explanation:

Is 0.62473 a member of the set? For each set of real numbers, select yes or no​

Answers

?

Step-by-step explanation:

can't see the opinions

what is the slope of a line parallel to 3x+y=7

Answers

Answer:

slope is also same as gradient

if 3x+y=7

make y the subject of formula

y=7-3x

so from,y = mx +c

compare the equations

if -3x=mx

divide both sides by x

I.e m=-3

Factorize: 7xyz + 21x^2 y​

Answers

Answer:

[tex]7xyz + 21 {x}^{2} y [/tex]

factorise out 7, x and y:

[tex] = 7xy(z + 3x)[/tex]

Answer:

[tex]\huge\boxed{\sf 7xy (z + 3x)}[/tex]

Step-by-step explanation:

[tex]\sf 7xyz +21x^2y\\\\H.C.F. = 7xy\\\\Hence, \ Take \ 7xy \ as \ common\\\\= 7xy (z + 3x)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Eduardo has in his pocket $1 in pennies, $1 in nickels, and $1 in dimes. If he randomly pulls out just one coin, what is the probability that he will pull out a dime?

Answers

The probability of picking a dime from the coins in his pocket is 1/13

1 penny = 1 cent

Hence, 100 pennies = $1

1 nickel = 5 cent

20 nickels = $1

1 dime = 10 cent

10 dime = $1

This means that :

Eduardo has :

100 pennies 100 pennies 20 nickels 100 pennies 20 nickels 10 dimes

Total coins = (100 + 20 + 10) = 130 coins

Recall :

Probability = required outcome / Total possible outcomes

P(dime) = number of dimes / total coins

P(dime) = 10 / 130 = 1/13

Hence, the probability of picking a dime = 1/13

Learn more : https://brainly.com/question/18153040

Need help on aleks knowledge check, due rlly soon thank you

Answers

Answer:

a) y = [tex]\frac{1}{2} x[/tex]

b) y = [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

I. If y = 9 and x = 18

  so x is double value of y or y * 2

  y will be half of x value

 that makes y = [tex]\frac{1}{2}[/tex] x

II. If x = 5, replace x with 5

    y = [tex]\frac{1}{2}[/tex] (5)

    y = [tex]\frac{5}{2}[/tex]

Answer:

(a).

[tex]{ \boxed{ \sf{y = \frac{1}{2}x }}}[/tex]

b).

[tex]{ \boxed { \sf{y = \frac{5}{2} }}}[/tex]

Step-by-step explanation:

explanation for (a):

[tex]{ \sf{y \: \alpha \: x}} \\ { \sf{y = kx}} [/tex]

when y is 9, x is 18

[tex]{ \sf{9 = (k \times 18)}} \\ { \sf{k = \frac{1}{2} }}[/tex]

therefore equation is:

[tex]{ \sf{y = \frac{1}{2}x }}[/tex]

explanation for (b):

when x is 5:

[tex]{ \sf{y = \frac{1}{2}x }} \\ \\ { \sf{y = \frac{1}{2} \times 5}} \\ \\ { \sf{y = \frac{5}{2} }}[/tex]

Math For test help plz due in 45 mins

Answers

It is the third option

[tex]\huge{\underline{\underline{\mathfrak{\red{Answer}}}}}[/tex]

3rd one✓✓

what is double the difference of x and 3 then divided by 2 in expression form?

Answers

Answer:

{2(x-3)}/2

I hope that's helpful

please somebody can help me

alguien me puede ayudar plis

Answers

Answer:

8) her hair was 8 inches long

The temperature reading that is halfway between −10 degrees and 40 degrees is ___ degrees.
If the temperature was −3 degrees in the morning and 8 degrees in the afternoon, the change in temperature during that time is ____ degrees.
If the temperature has been changing at a rate of −1.5 degrees each hour, and it is currently 5 degrees, the temperature 4 hours ago was ___ degrees.
If the temperature continues to change at this rate of −1.5 per hour, and it is currently 5 degrees, the temperature in 4 hours will be ____ degrees.

Answers

Answer:

30, +11, 11, -1

Step-by-step explanation:

-10 + 30 = 10, 40 - 30= 10

-3 + 11 = 8

5 + (1.5 x 4) = 11

5 - (1.5 x 4) = -1

Point Q is the image of Q (0,6) under the translation (x,y) (x+7,y-5)

What are the coordinates of Q?

Answers

Answer

7, 1

Step-by-step explanation:

do math

help please!!!!!!!!!!!!!!​

Answers

Answer:2

2b√5ab

Step-by-step explanation:

Answer:

[tex] \sqrt{20a {b}^{3} } \\ = \sqrt{4 \times 5 \times ab {b}^{2} } \\ = 2b \sqrt{5ab} \\ thank \: you[/tex]

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.

it's a optional mathematics Questions please solve him​

Answers

Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3

Can someone please help me with this question, and also tell me an easy way to do these type of questions. (Show working)

Answers

Answer:

6 hours 45 minutes

Step-by-step explanation:

Calculate the time from 9.25 pm on Monday until midnight, then add on time from midnight until 4.10 am on Tuesday, that is

9.25 pm → midnight = 2 hours 35 minutes , then

2 hours 35 minutes + 4 hours 10 minutes

= (2 + 4) + (35 + 10)

= 6 hours 45minutes

The total time is 6hours and 45 minutes. Hope this all helps

Two rules for creating a pattern are given below. Each rule begins with a number called the input and
creates a number called the output.
Rule 1: Increase the input by 4 to get the output.
Rule 2: Multiply input by 2. Then subtract 1 to get the output.
Which input and output table works for both rules?
Choose 1 answer:
Input
Output
5
9
Input
Output
10
14
Input
Output
8
15

Answers

Answer:

A

Step-by-step explanation:

Table A

input is 5 and output is 9

Using the 2 given rules

Increase the input by 4 to get output , then

5 + 4 = 9 ← correct output

Multiply input by 2 and subtract 1 to get output , then

2 × 5 - 1 = 10 - 1 = 9 ← correct output

Table A works for both rules

which of the following statement is not
is not true?
A-√25 is an integer
B is a rational number
C va
is an irrational number

D 4 is a whole number

Answers

Answer:

C is  not true.

Step-by-step explanation:

√9/√4

= 3/2 which is rational.

Answer:

C.

[tex]{ \sf{ \frac{ \sqrt{9} }{ \sqrt{4} } \: is \: an \: irrational \: number}}[/tex]

Step-by-step explanation:

(√9)/(√4) is rational, because

[tex] \frac{ \sqrt{9} }{ \sqrt{4} } = \frac{3}{2} [/tex]

2x + 4y - 3(x + 2y)2

Answers

Answer:if you are simplifying :-4x-8y

if you are factoring -4(x+2y)

Step-by-step explanation:

-2 1/2 to -5 3/4 what is the distance between the two on a number line

Answers

Answer:

3 1/4

Step-by-step explanation:

difference between the 2 = -5 3/4-(-2 1/2) = -5 3/4+2 1/2 = -3 1/4

since distance is +ve, answer is 3 1/4

Answer:

3 1/4

distances are always positive.. "how many steps would you need to take to walk from -2 1/2 to -5 3/4 on a number like ...

-3,-4,-5 would be three steps , but then you would be at -5 1/2. 1/2 is 2/4's

you are 1/4 away from the -5 3/4 so add another 1/4

Step-by-step explanation:

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