Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=\dfrac12x^2 -10xd(x)= 2 1 ​ x 2 −10xd, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 2, end fraction, x, squared, minus, 10, x How many seconds after diving will Rui reach his lowest altitude?

Answers

Answer 1

Answer:

Rui will reach his lowest altitude after 20seconds of diving

Step-by-step explanation:

Given the function that models the altitude of Rui at any time x expressed as:

d(x) = 1/2 x² - 10x

The height of rui at his lowest altitude will be zero. Substitute d(x) = 0 into the expression and get x

d(x) = 1/2 x² - 10x

0 = 1/2 x² - 10x

-1/2x² = 10x

1/2 x = 10

Multiply both sides by 2

x/2 × 2 = 10×2

x×1 =20

x = 20

Hence Rui will reach his lowest altitude after 20seconds of diving


Related Questions

Which expression is equivalent to (o)(0)
0000000)?
0 131
13j
O i+ 13

Answers

Answer:

[tex]j^{13}[/tex]  is correct. This expression is showing j to the 13 power.

The equivalent expression is [tex]j^{13}[/tex]

Option C is the correct answer.

We have,

The expression:

j (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j)

There are 13 j's so,

This can be written as,

[tex]j^{13}[/tex]

Thus,

The equivalent expression is [tex]j^{13}[/tex]

Learn more about expressions here:

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If y = mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?

Answers

Answer:

3

Step-by-step explanation:

Given

y = mx ( m is the constant of proportionality )

Given y = 12 when x = 4 , then

12 = 4m ( divide both sides by 4 )

3 = m ← constant of proportionality

Answer:

m = 3

Step-by-step explanation:

Find the constant of proportionality by plugging in x and y into the equation, and solving for m

y = mx

12 = m(4)

Divide each side by 4

3 = m

So, the constant of proportionality is 3

What is the value of x ?

Answers

Answer:

I.8   D.30  H.153  A.20 cm

Step-by-step explanation:

Three vertices of a rectangle are shown on the grid.


What are the coordinates of the missing vertex? Enter the answer in the boxes.

PLEASE HELP IM SUPER CONFUSED:(

Answers

(3,7) I believe because that coordinate completes the rectangle

Answer:

5,8

Step-by-step explanation:

The distance from Kim's house to NYC is 100 miles more than the distance from her house to LA. If the sum of the distances is 3,000 miles, how far is it from Kim's house to New York City?

Please help and show how you solved it!!

Answers

Answer:

1550miles

Step-by-step explanation:

assume her house to LA has x miles, therefore her house to NYC is x+100miles

x+x+100=3000

2x=2900

x=1450

x+100=1550miles

The drama club at Northside High School needs to raise at least $350 to purchase new props and costumes for their upcoming production of Annie. They need to
determine how many boxes of donuts (2) and bags of cookies (Y) to sell. They will earn $3 profit on each box of donuts and $1 profit on each bag of cookies.
Which could not be a way to earn enough money?
seling 25 boxes of donuts and 290 bags of cookies
selling 30 boxes of donuts and 260 bags of cookies
selling 45 boxes of donuts and 220 bags of cookies
selling 60 boxes of donuts and 160 bags of cookies

Answers

Answer:60 donut boxes and 160 cookies

Step-by-step explanation:

Multiply the boxes of donuts by $3, multiply the cookies by $1, add those two answers together to see if they equal at least 350

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The option that can not be a way to earn enough money is

Selling 60 boxes of donuts and 160 bags of cookies.

Option D is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount needed to earn = $350 or more

Profit from a box of donuts = $3

Profit from a box of cookies = $1

Now,

Selling 25 boxes of donuts and 290 bags of cookies.

= 25 x 3 + 290 = 75 + 290 = $365

Selling 30 boxes of donuts and 260 bags of cookies.

= 30 x 3 + 260 = $350

Selling 45 boxes of donuts and 220 bags of cookies.

= 45 x 3 + 220 = 135 + 220 = $355

Selling 60 boxes of donuts and 160 bags of cookies.

= 60 x 3 + 160 = 180 + 160 = $340

Thus,

The option that can not be a way to earn enough money is

Selling 60 boxes of donuts and 160 bags of cookies.

Option D is the correct answer.

Learn more about expressions here:

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No funny business


Rosa jumped 280 times in 7 hours. At that rate, how many times would she jump in 6 minutes? ​

Answers

Answer: 4 times
Solution: 60 minutes * 7 = 420
280/420 = ans
ans * 6 = 4

Find Equivalent Expression

1/2 (4x + 4)



x + 4


2x + 2


2x + 8


4x + 4

Answers

Answer:

2x+2

Step-by-step explanation:

hello :

1/2 (4x + 4) =(1/2) (4x + (1/2) (4) = 2x+2

Triangle LKJ is similar to triangle TSR. Which of the following statements is true?

Answers

Answer:

the 3rd choice is correct

Step-by-step explanation:

Select the number that is a solution to the inequality t > 6.
A 2
B 6
C 5.2
D 6.01
E 0.6

Answers

Answer:

D. 6.01

Step-by-step explanation:

6.01 is greater than six.

Answer: D

Step-by-step explanation:

“>” means greater than. So, T has to be bigger than 6. 6.01 is bigger.

On a scale drawing, a building is 5 1/2 inches tall. If the scale drawing is 1 inch. : 8 inch tall is the building?

Answers

Answer:

44 inches

Step-by-step explanation:

Given that :

Scale of drawing = 1 inch : 8 inches

Height of building in drawing = 5 1/2 inches

Using the scale provide for the drawing, the actual height of the building is :

Height of building in drawing * 8 inches

5 1/2 * 8

5.5 * 8 inches

= 44 inches

1. If Jeremy found 80% of the collector cards and Tim found 41 of the 45 cards,
who has more collector cards?

Answers

Answer:

Tim has more

Step-by-step explanation:

41/45 when you type it into a calculator is 91% and 91%>80%

3 800 millimeters expressed in metres is​

Answers

Answer:

3.8 meters

Step-by-step explanation:

Answer:

hi sorry i just want points YOSHIII :3

Step-by-step explanation:

What is the square root of -1?

Answers

Answer:

Step-by-step explanation:

B, i

The answer would be -1


Ruby is building a pentagon-shaped garden and a hexagon-shaped garden.

.the perimeter of the pentagonal garden is 47 1/2ft

.The perimeter of the hexagonal garden is 61 1/2ft

Witch statement is false about this scenario?

A) the equation to find the length of each side of the pentagonal garden is 6x=47 1/2

B) The length of each side of the pentagonal garden 9 1/2 ft


C) The equation to find the length of each side of the hexagonal garden is 6x=61 1/2


Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

If x is the side length of the regular pentagon, the perimeter is the sum of its 5 side lengths: 5x. To find the side length, we can use the formula that sets this equal to the known perimeter:

  5x = 47 1/2 . . . . . . mismatch with statement A

Statement A is false.

Julie has picked 10× 3 silver three red three green and one orange she now has a 12% chance of picking which color

Answers

Answer:

None of the colors

Step-by-step explanation:

The given parameters can be represented as:

[tex]Silver = 3[/tex]

[tex]Red = 3[/tex]

[tex]Green = 3[/tex]

[tex]Orange =1[/tex]

[tex]Total = 10[/tex]

Required

Which has a probability of 12%

To do this, we calculate the probability of each color.

This is calculated as:

[tex]P(Color) = \frac{Color}{Total}[/tex]

So, we have:

[tex]P(Silver) = \frac{Silver}{Total}[/tex]

[tex]P(Silver) = \frac{3}{10}[/tex]

Express as percentage

[tex]P(Silver) = 30\%[/tex]

[tex]P(Red) =\frac{Red}{Total}[/tex]

[tex]P(Red) =\frac{3}{10}[/tex]

Express as percentage

[tex]P(Red) =30\%[/tex]

[tex]P(Green) = \frac{Green}{Total}[/tex]

[tex]P(Green) = \frac{3}{10}[/tex]

Express as percentage

[tex]P(Green) = 30\%[/tex]

[tex]P(Orange) = \frac{1}{10}[/tex]

[tex]P(Orange) = 0.1[/tex]

Express as percentage

[tex]P(Orange) = 10\%[/tex]

So, we have:

[tex]P(Silver) = 30\%[/tex]

[tex]P(Red) =30\%[/tex]

[tex]P(Green) = 30\%[/tex]

[tex]P(Orange) = 10\%[/tex]

From the above calculations, none of the colors have a probability of 12%.

Plz help! It’s due soon!!!
Will mark brainliest if correct!

Answers

Answer:

14)A

15)J

Step-by-step explanation:

Identify the type of slope of the graph

please help !

Answers

Answer:

m=[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.
148

Answers

74 degrees

An angles value is 1/2 of the value of its corresponding arc. Angle x has the corresponding arc of 148, so it’s 148/2 or 74 degrees

Using n = 3.14, find the area of a circle with a radius of 16.
Round your answer to the nearest hundredth.
HELPPP

Answers

Answer:

803.84=A

Step-by-step explanation:

The area of a circle can be found by using the equation [tex]\pi r^{2}[/tex]=A.

[tex]\pi r^{2}[/tex]=A

[tex](3.14)(16^{2})[/tex]=A

(3.14)(256)=A

803.84=A  and the units are, how ever the radius is measured cubed

A sandwich shop has 60 stores and 50% of the stores are in California. The rest of the stores are in Nevada. Part 1 out of 2 How many stores are in California and how many are in Nevada? There are stores in California and in Nevada. Next
Need it Now!​

Answers

Answer:

100/50=one over two which is half and half of sixty is thirty so therefore thirty stores are in California and thirty stores are in Nevada too

Ellen is making smoothies. The recipe calls for 1 and 1/4 cups of strawberries. How many cups of strawberries, written as a fraction greater than one, are used in the recipe?

Answers

Answer:

the number of cups of strawberries needed in the recipe is ⁵/₄

Step-by-step explanation:

Given;

cups of strawberries needed for the smoothies =  1 and 1/4 cups

To obtain the number of cups of strawberries needed in the recipe as a single fraction, the given mixed fractions will be converted into an improper fraction.

Note: Improper fractions are always greater than 1

Number of cups of strawberries [tex]=1 + \frac{1}{4} = \frac{4 + 1}{4} = \frac{5}{4}[/tex]

Therefore, the number of cups of strawberries needed in the recipe is ⁵/₄

What is the slope of the line that contains the points (-1, 2) and (4,3)? O A. - 1/3 O B. 011 O c. 5 O D. -5

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

-3/19

Step-by-step explanation:

Given data

We have the coordinates

(-1, 2) and (4,3)

x1=-1

y1=2

x2=4

y2=3

The expression for the slope is given as

Slope= y2-y1/x2-x1

Substiute

Slope=  3-2/4-(-1)

Slope= 1/4+1

Slope= 1/5

Hence the slope is 1/5

Write 4.015 105 as an ordinary number
A.40,150
B.41,5001
C.401,500
D.415,000

Answers

A is the correct answer I do believe

Select the correct answer.
Consider this equation.

Answers

Answer:

I say the answer is D

Step-by-step explanation:

I

think

it

is

D

Answer:

Combine like terms (add the 5x to the -2x to get 3x). Move the -4 to the other side to get 3x= 12. Divide both sides by 3 to get x=4

plz give me brainly if its right

Step-by-step explanation:

Giving brainlist to whoever answers

Answers

Answer:

2/8 (could be simplified to 1/4)

Step-by-step explanation:

There are 8 total possibilities, and there are two A's

Pls help a girl out

Answers

Answer:

m[A is 30

m[B is 60

m[B is 90

The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years, the

standard deviation is 1.7 years.

Use the empirical rule (68 - 95 - 99.7%) to estimate the probability of a gorilla living longer than 14.3

years.

Percent ____

Answers

Answer:

68%

Step-by-step explanation:

Empirical rule formula

= 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the above question,

Mean = 16 years

Standard deviation = 1.7 years

Score = 14.3 years

We have to find the number of standard deviation to determine the percentage

Hence,

14.3 = 16 - 1.7x

Collect like terms

1.7x = 16 - 14.3

1.7x = 1.7

x = 1.7/1.7

x = 1

This means the data falls within 1 standard deviation from the mean hence, the probability of the gorilla living longer than 14.3 years is 68%

The triangles shown below must be congruent.

Answers

Answer:

A yes it is there the same thing.

You just carpeted a 9 x 12 foot room for $480. The carpet is priced by square foot. About how much would you expect to pay for the same carpet in another room that is 21 x 28 feet?

(With explanation)

Answers

First you would find the amount of money you’d need by square foot which you can find by multiplying 9 by 12 then dividing 480 by that number (which is 108) that will give you approximately $4.44 per square foot.

Next you would multiple 21 by 28 to find out the amount of square feet in that room (which is 588) then you can multiply that by $4.44 to get $2,610.72.

So you will expect to pay $2,610.72 for a 21 x 28 room

Answer:

ok so..to find out the amount it cost per square foot you have to multiply 9*12=108 ft

108ft=$480

$480/108=4.44~~~~~it's continuous

so then multiply 21*28=588

588*4.44~~~~=2613.33~~~~its continuous too.

Step-by-step explanation: answer is

=$2613.33 ~~~~its continuous too.

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