Write a linear function that relates y to x .


y=

Answer: A= 1.60 sec

And I am not sure if B is correct, but I got 14.77 ft.

Step-by-step explanation:

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Jon who is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by -

h(t) = 5 + 25t - 16t²

where [t] is the time in seconds.

[A] -

At h = 4ft, we can write -

4 = 5 + 25t - 16t²

- 16t² + 25t + 1 = 0

On solving, we get -

t = 1.602 seconds

[B] -

We have -

h(t) = 5 + 25t - 16t²

For maximum height -

dh/dt = 0

d/dt(5 + 25t - 16t²) = 0

0 + 25 - 32t = 0

32t = 25

t = 25/32

t = 0.79 seconds

Therefore -

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

Answer:

Area of ACEG is 100

10

Step-by-step explanation:

Pythagorean says CE = EG = AG = AC = 10

Answer:

I think the answer is 100

Step-by-step explanation:

Use the pythagorean theorem to find out the missing side

6^2 plus 8^2 equals 100

The square root of 100 is 10. The lengths of the sides are 10.

10 times 10 is 100.

I hope this helps :)

Answer:

one

Step-by-step explanation:

distribute: 3x+15 = x+10

add like terms: 2x = -5

divide: x= -5/2

Answer:

10/14  25/35

Step-by-step explanation:

For the first one multiply times 2

For the second one multiply times 5

Answer:

D

Step-by-step explanation:

the answer for this question

y = - x + 3

Answer: 16/20

Step-by-step explanation:

If ur asking for the sine of angle C

Answer:

73

Step-by-step explanation:

2+2+3+65+1

=4+3+65+1

=7+65+1

=72+1

=73

Answer:

5^2+h^2=12^2, the answer would be ~10.97 ft.

Step-by-step explanation:

I would use the Pythagorean theorem to solve this problem. Put in the things that you know, so in this image we are given one of the legs and the hypotenuse of the triangle.

Pythagorean theorem is :

a^2+b^2=c^2 with a and b being the legs and c being the hypotenuse.

Once you plug in the hypotenuse and one of the legs, solve for the other leg by subtracting a^2 (5^2) from 12^2 (c^2), which will give you 119, and then take the square root of 119 and you will get your answer.

Answer:

45

Step-by-step explanation:

each bracelet takes 15 min

15*3=45

1 hour = 60 minutes..

In 1 hour she makes 4

In 2 hours (120 minutes) she makes 8

So in each hour she makes 4 ( 8 /2 = 4)

So In 3 hours she will make 3 x 4 = 12 bracelets

Answer:

252/448 and 36/64 form a proportion

Step-by-step explanation:

The easiest way to do this is to let 252/448 = 36/64

Then cross multiply to get 252(64) = 36(448)

                                                16128 = 16128

Since the two products are equal, then 252/448 and 36/64 form a proportion.  If the the two products were unequal, then the two fractions would NOT form a proportion.

Answer:

7x - 4 + 35 = 72

7x + 31 = 72

7x = 41

x = 41/7 *you cant simplify*

x = 5 6/7 as a mixed number

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

Yes, the defining characteristic of an arithmetic sequence is that any term subtracted by the previous term is a constant, called the common difference. In this case the common difference is 32-35=29-32=26-29= -3

Answer:

The answer is: One loaf of bread contains one and halve cups of flour.

Answer:

The answer is: One loaf of bread contains one and halve cups of flour.

Step-by-step explanation:

Answer:

r=1, h=9

r=2, h=2.25

r=5, h=0.36

r=12, h=0.0625

r=r, h=9/r²

Step-by-step explanation:

Volume of a cone = πr²h/3

3π=πr²h/3

r²h=9

when r=1?

r²h=9

1²h=9

h=9

when r=2?

r²h=9

2²h=9

4h=9

h=2.25

when r=5?

r²h=9

5²h=9

25h=9

h=0.36

when r=12?

r²h=9

12²h=9

144h=9

h=0.0625

when r=r?

r²h=9

h=9/r²

The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.

Volume is the amount of space that is occupied by a three dimensional object.

The volume of a cone (V) is given by:

V = (1/3)πr²h

Where r is the radius and h is the height.

For a radius of 1:

3π = (1/3)π*(1)² * h

h = 9

For a radius of 2:

3π = (1/3)π*(2)² * h

h = 2.25

For a radius of 5:

3π = (1/3)π*(5)² * h

h = 0.36

For a radius of 12:

3π = (1/3)π*(12)² * h

h = 0.02

The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.

Find out more on Volume at: https://brainly.com/question/1972490

Answer:

3rd one : 2.1x10-³

4th one : 3.7

Answer:

The guy above me is correct, but for some clarification:

1: 7.8

2: 3.3 * 10^3

3: 2.1 * 10^-3

4: 3.7

Answer:

B. (3x - 12)° = (2x + 8)°

Step-by-step explanation:

This equation can be used to solve x.

3x - 12 = 2x + 8

3x - 2x = 12 + 8

x = 20°

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

Verification:

3(20) - 12 = 2(20) + 8

60 - 12 = 40 + 8

48° = 48°

Step-by-step explanation:

four times only......................

Tomando el cociente entre la masa de la muestra y la masa de un átomo, veremos que hay 1.7*10^21 átomos de uranio en la muestra.

Para determinar el número de átomos en la muestra, simplemente debemos dividir la masa de la muestra (0.7 gramos) por la masa de un átomo de uranio (4*10^(-25) kg)

Donde la complicación viene por que tenemos distintas unidades.

Para resolver esto, podemos escribir la masa de la muestra en kilogramos.

Sabemos que: 1g = 1*10^-3 kg

Entonces podemos reescribir la masa de la muestra como:

0.7g = (0.7)*(10^-3 kg) = 7*10^-4 kg

Ahora si podemos tomar el cociente, el número de átomos esta dado por:

[tex]N = \frac{7*10^{-4}kg}{4*10^{-25}kg} = 1.7*10^{21}[/tex]

Así podemos concluir que hay 1.7*10^21 átomos de uranio en la muestra.

Sí quieres aprender más sobre átomos, puedes leer:

https://brainly.com/question/16929981

9514 1404 393

Answer:

  12. (x, D, E, F) = (8, 38°, 75°, 67°)

  13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

  25x = 200 . . . . . . . add 20, simplify

  x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

  ∠D = 5(8) -2 = 38°

  ∠E = 9(8) +3 = 75°

  ∠F = 11(8) -21 = 67°

__

13. (10x -4) +(4x -22) +(x +11) = 180

  15x = 195 . . . . . . . . . . add 15, simplify

  x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

  ∠P = 10(13) -4 = 126°

  ∠Q = 4(13) -22 = 30°

  ∠R = 13 +11 = 24°

Given:

The approximate number of blood cells B passing through an animal's major artery each millisecond is given by

[tex]B=17m^{\frac{4}{3}}[/tex]

Where, m is animal's mass in kilograms.

To find:

The number of blood cells passing through a 243 kg bear's major artery each millisecond.

Solution:

We have,

[tex]B=17m^{\frac{4}{3}}[/tex]

Putting m=243, we get

[tex]B=17(243)^{\frac{4}{3}}[/tex]

[tex]B=17(1516.381107)[/tex]

[tex]B=25778.4788191[/tex]

[tex]B\approx 25778[/tex]

Therefore, the number of blood cells passing through a 243 kg bear's major artery each millisecond is approximately 25,778.

Answer:

Volume of sphere = 36π cm³

Step-by-step explanation:

Given:

Radius of sphere = 3 cm

Find:

Volume of sphere.

Computation:

Volume of sphere = (4/3)πr³

Volume of sphere = (4/3)π(3)³

Volume of sphere = (4/3)π(27)

Volume of sphere = 36π cm³

Answer: The answer would be c  2x + 4

Step-by-step explanation:

Answer: ye its 9072

Step-by-step explanation:

Answer:

900 miles long

Step-by-step explanation:

Given data

Le the total mile of the trip be x

Autumn fell asleep at 39% of the trip, which is equal to 351 miles

so

=39/100*x= 351

0.39x= 351

divide both sides by 0.39

x= 351/0.39

x= 900 miles

Hence the trip is 900 miles long

Answer:

900

Step-by-step explanation:

900

219,45656837198276857689087657

Answer:

A

Step-by-step explanation:

Just plug in [tex]x=a+2[/tex].

Answer:You set it up as y=mx+b

Step-by-step explanation:

Answer: √0.16

Step-by-step explanation:

√0.16 = 0.4