c. The height h of a diver over the water is modeled by the equation h = 5t^2 + 8t + 3 where h denotes the height of the diver over the water (in meters) and t is time measured in seconds. Rewrite this equation, finding t in terms of h.

Answers

Answer 1

Answer:

steps below

Step-by-step explanation:

h = 5t² + 8t + 3

5t² + 8t + (3-h) = 0

** ax²+bx+c=0       x= (-b±√b²-4ac)/2a

[tex]t=\frac{-8+\sqrt{64-4*5*(3-h)} }{10\\}\\ =\frac{-8+\sqrt{4+20h} }{10}\\ = -0.8 +0.2* \sqrt{1+5h}[/tex]   ..... h≥3 to make t≥0


Related Questions

50% of what number is 60?

Answers

Answer:

50% of 60 is 30

Step-by-step explanation:

Mathematic 20 don’t understand

Answers

Answer:          

8.8 x 10 to the 9th power

Step-by-step explanation:

Please help, its Geometry

Answers

Hope it helps just read it and type it in XD

Please help me with my Geometry.

Answers

Step-by-step explanation:

2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :

1. support post (14ft), post to back (b), the long roof line

2. front to post (f), support post (14ft), dotted line

so, because the multiplication factor is the same for the sides, the ratio

"support post" / f

must be the same as

b / "support post"

14 / f = b / 14

b = 14²/f = 196/f

and then we know that

f + b = 53

by putting the first into the second equation we get

f + 196/f = 53

f² + 196 = 53f

f² - 53f + 196 = 0

the solution of such a quadratic equation in general is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = f

a = 1

b = -53

c = 196

f = (53 ± sqrt(53² - 4×1×196))/(2×1) =

= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =

= (53 ± 45)/2

f1 = (53 + 45)/2 = 98/2 = 49

f2 = (53 - 45)/2 = 8/2 = 4

as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.

therefore, the support post is positioned 4ft from the front of the house.

How do you rewrite 7x3+7x5

Answers

If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]

7x3+7x5 = 7x(3+5) = 7x8 = 63
Ok done. Thank to me :>

Can someone please explain how to do the complex algebraic equation? I couldn't find any answers online

Answers

A complex equation is an equation that involves complex numbers when solving it. For example, <4+3i> is a complex number. The 4 or a part is the real part of the number and the 3i or b part is the imaginary part of the number.

Calculate the HCF of 8a³-27, 4a²-9 and 4a²-12a+9​

Answers

[tex] \: \: \: \: \: [/tex]

first add

(3a²-5a+5)+(a³-5a²+8)

=3a²-5a+5+a³-5a²+8

=a³-2a3a²-5a²+5+8

=a³-2a²+13

and now,

substract a³-2a²+13 from a²-4a²-9

=7a²-4a²-9-(a³+13)

=7a²-4a²-9-a³+2a²-13

= a³+7a²-4a²+2a²-9-13

=-a³+5a²-22

hope it helps

Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
a=8
b=10
c=60

Answers

b the answer is b bc c and a are wrong and it wouldn’t be correct

If EF = 2x + 5 and FG = x + 9, what is EG?

Answers

Answer:

3x + 14

Step-by-step explanation:

Just add them together.

2x + 5 + x + 9

= 3x + 14

6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency? ​

Answers

Answer:

$4, 116.66 times 35%=1,440.83 is the answer.

Step by step equation:

The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)

all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83

What are the slopes to
3x+6=30
&
4y+2x+9​

Answers

The first one is undefined and the second one is 1/2

help with this graph please and thanks​

Answers

Basically the dot would go where the -2 and the -5 meet up. (PS make this brainliest.)

Java 1

Question 15
Another word for "looping" is:

a. encapsulation
b. iteration
c. reiteration
d. generalization
e. inheritance

Answers

Answer:

the anwser is b

Step-by-step explanation:

it is another word for looping

Roger ran eight laps around a ¼ mile track during PE on Monday.How many feet did Roger run in completing eight laps

Answers

Answer:

10560 feet

Step-by-step explanation:

you're welcome :)

a) Complete the table of values for x + y = 6
Х
-2
-1
0
1
2
3
y

Answers

Answer:

8 , 7 , 6 , 5 , 4 , 3

Step-by-step explanation:

Insert your x into the equation, then simplify for y.

Select all relations that represent function

Answers

Answer:

The last three are all functions.

The first one is not because by defenition of function, an x value cannot have two y values.

The second one is because a function f(x) is the same thing as y

The third one is because x value does not repeat, and that is all that matters.

The fourth one is a function too since x values do not have two y values

A commercial airplane is flying at an elevation of 15,000 feet and ascends to an elevation of 20000 feet at a rate of 1250 feet per minute. How many minutes does this ascent take?

Answers

Answer:

4 minutes

Step-by-step explanation:

Put it into an equation

20000 = 1250x + 15000

Subtract 15000 from both sides

5000 = 1250x

Divide both sides by 1250

4 = x

Beth sold half of her comic books and then bought nine more. She now has 28. With how many did she begin?
Equation:
Answer;
Steps to solve:

Answers

Answer:

She had 38!

Step-by-step explanation:

28-9 is 19 then just multiply that by two which is 38

Answer:

38

Step-by-step explanation:

28-9=19 19+19=3

subtract 9 from 28 then you get 19 then you add 19 to 19 and you get 38

Please help!
5^3 x 5^-7

Answers

Answer: 0.0016

Step-by-step explanation:

5^3 = 125

5^-7 = 0.0000128

125 * 0.0000128 = 0.0016

Simplify using order of
operations.
53 + 28 : 7-1

Answers

Step-by-step explanation:

53 + 28 =81

7-1=6

81:6

÷3 both side

27:2

Lowest form is 27:2

Shanice won 88 pieces of gum playing the bean bag toss at the county fair. At school she gave four to every student in her math class. She only has 8 remaining. How many students are in her class?

Equation:
Answer:
Steps to solve:

Answers

Equation: 88-8=80
80/4=20

Answer: there are 20 students in her class

Steps: Subtract what was remaining. Use the difference(80) and divide by how much she gave the students(4). After dividing the quotient would be 20 which is the amount of students in her class.

Answer:

20

Step-by-step explanation:

88 divided by 4 = 22, She gave 4 gums to each student, 8 divided by 4 = 2.

22 - 2 = 20

Select the correct answer.
Consider the formula for the slope between two coordinate points, m, shown below.
V2 — 91
m =
12 - 11
Which of the following equations is equivalent to the slope formula?
OA.
OB.
*1 =
Y2 =
m(x2 - x) + y
mly₂-4₂) + x2
12 = m(y₂ - y₂) + x1
yz = m(x2 – x1) + y2
O C.
OD
=
Reset
Next

Answers

Answer:

it's A

Step-by-step explanation:

yeah-ya ............... right?

in what situation are we supposed to use tan inverse

Answers

[tex]\huge\bold\green{ANSWER}[/tex]

The inverse trig ratios, you can find the angle measure, given two sides.

Inverse Tangent: If you know the opposite side and adjacent side of an angle in a right triangle, you can use inverse tangent to find the measure of the angle.

Calvin works at a facility which processes apples. It costs the facility $0. 68 to make either a jar of applesauce or a bottle of apple juice. Due to the nature of the process and contractual agreements, Calvin’s facility must make and sell three jars of applesauce for every two bottles of apple juice. A jar of applesauce sells for $2. 20, and a bottle of apple juice sells for $3. 15. If the facility has annual overhead costs of $368,500, not including production costs, how many bottles of apple juice will the facility have sold when it breaks even every year? Round to the nearest whole bottle, if necessary. A. 38,789 b. 77,579 c. 116,368 d. 167,500.

Answers

The number of bottles the facility requires to sell when it breaks is given by

a system of two simultaneous equations.

When the facility breaks even, it would have sold 77,579 bottles of apples juice.

Reasons:

The cost to make a jar of applesauce or a bottle of apple juice = $0.68

Number of jars of applesauce to be sold foe every 2 bottles of apple juice = 3 jars

The selling price for a jar of applesauce = $2.20

Selling price for a bottle of apple juice = $3.15

Annual overhead cost excluding production cost = $368,500

Required: Number of bottles of apple juice sold by the facility when it breaks even annually.

Solution:

Let J represent the number of bottles of apple juice sold, and let S represent the number of jars of apple sauce, by excluding the production cost, we have;

(3.15 - 0.68)·J + (2.2 - 0.68)·S = 368,500

S : J = 3 : 2

Which gives;

[tex]\displaystyle \frac{S}{J} = \mathbf{ \frac{3}{2}}[/tex]

[tex]\displaystyle S= \frac{3}{2} \cdot J[/tex]

Therefore;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot S = (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{368,500}[/tex]

Which gives;

[tex]\displaystyle (3.15 - 0.68) \cdot J + (2.2 - 0.68) \cdot \frac{3}{2} \cdot J = \mathbf{ \frac{19 \cdot J }{4} } = 368,500[/tex]

[tex]\displaystyle J = \frac{368,500 \times 4}{19} = \frac{1474000}{19}=77578\frac{18}{19} \approx 77,579[/tex]

The number of bottles of apple juice sold, J ≈ 77,579 bottles

Learn more about simultaneous equations here:

https://brainly.com/question/10724274

Would this be increase or decrease? 75 people to 25 people?

Answers

Answer:

decreased

Step-by-step explanation:

Decreased because the number is going down

5x10^6 is how many times greater than 5x10^4

Answers

Answer:

By 100 times.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

5x10^6= 5000000  

5x10^4= 50000  

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)


Question: 5x10^6 is how many times greater than 5x10^4
Answer:

Help help help help math math

Answers

Answer:

5

Step-by-step explanation:

Chloe can read 75 words in 45 seconds. At this rate, how many words can she read in 15
minutes

Answers

Answer:

1500

Step-by-step explanation:

PLZ HELP, I need it done in like 20 mins. PLZZZ

Answers

Answer:

16.8

Step-by-step explanation:

Plug the equation (700+(-196))/((30+(3.5-(1/2))))+(-3)) into a calculator

42 is the product of 6 and y. Solve for y

Answers

Answer:

y=7

Step-by-step explanation:

42/6=7

Answer:

y =7 iits divided

Step-by-step explanation:

y =6/42

y= 7

Other Questions
Study the chart of word parts.Based on the table, what is the definition ofcontradiction?Word PartDefinitioncontra-againstdictsay or speakO the act of saying something in agreementO the process of saying what will happenthe act of saying something that is the oppositeo the process of giving a speech-ionact or process pls help i will give brainliest!!!!! :) If you can buy four bulbs of elephant garlic for $8 how many can you buy with $32? Help help help help pls do you guys skate? and can you guys do tricks How many real solutions are there to the equation: x + y = 10don't forget the explanation? can anyone help with this.plsi will mark as brainliest answer if it is correctneed explanation 53:24Which statement about the function is true?The graph of the function f(x) = -(x + 3)(x - 1) isshown below.The function is positive for all real values of xwherex 1.1627O The function is negative for all real values of xwherex 1The function is positive for all real values of xwherex > 0The function is negative for all real values of xwhereX-1-642.46-2-24Mark this and returnSave and ExitNextSubmit Why is saving important to the economy.......and to you? 2x^2=3x+10 completing the square Devin sent his aunt a thank-you card for her thoughtful graduation gift. Is a thank-you card a direct or indirect object? Company Z understands that their business is at risk. How can they use step two in theDecision Making Process to reach their end goal of increasing sales and customer satisfaction? Pls help meeee !!!! Plzzz helppo Which allele is recessive?Which allele is dominant? What is the one defining abiotic factor of a desert?cold temperatureshigh windslittle or no rainfallhigh humidity Explain what happens during soil depletion and also how we can help prevent this naturally without chemicals? PLZ FAST TYY The probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941. If an insurance company sells a one-year, $12,000 life insurance policy to such a person for $495, what is the company's expectation The production of electricity and natural gas is most important to which countrys economy?A-ItalyB-Russia C-FranceD-Romaina Plz hurry Which sentence in this excerpt from George Bernard Shaws Pygmalion reveals that Henry Higgins is proud to be an English speaker?THE NOTE TAKER: A woman who utters such depressing and disgusting sounds has no right to be anywhereno right to live. Remember that you are a human being with a soul and the divine gift of articulate speech: that your native language is the language of Shakespear [sic] and Milton and The Bible; and don't sit there crooning like a bilious pigeon.THE FLOWER GIRL: (quite overwhelmed, and looking up at him in mingled wonder and deprecation without daring to raise her head): Ahahahowowoo!THE NOTE TAKER (whipping out his book): Heavens! what a sound! (He writes; then holds out the book and reads, reproducing her vowels exactly) Ahahahowowoo!THE FLOWER GIRL (tickled by the performance, and laughing inspite of herself): Garn!THE NOTE TAKER: You see this creature with her kerbstone English: the English that will keep her in the gutter to the end of her days. Well, sir, in three months I could pass that girl off as a duchess at an ambassador's garden party. I could even get her a place as lady's maid or shop assistant, which requires better English. That's the sort of thing I do for commercial millionaires. And on the profits of it I do genuine scientific work in phonetics, and a little as a poet on Miltonic lines. difference between boot disk and booting in 5 points