A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second. y=-16x^2+218x+75

Answers

Answer 1

Answer:

6.81s

Step-by-step explanation:

First you must know that the velocity of the body is zero at the maximum height.

v =dy/dx

v= -32x+218

Since v = 0

-32x+218 =0

32x =218

x= 218/32

x = 6.81s

Hence the rocket reaches its maximum height after 6.81s

Answer 2

Answer i got it wrong it was 5.94

Step-by-step explanation:


Related Questions

Which shows the list of numbers in order from least to greatest?
F31, ,-21, 13 5|, –1
O 1
o 351..-1, -21, F3
o 35,-12,-

Answers

Answer:

The first one

Step-by-step explanation:

Note the brackets means absolute value so the order of the first one goes like this

-1, 3/2, 2, 3, 3.5

Thus it's from least to greatest

please answer quickly
geometry reflections translation: (x, y)->(x+2, y- 1)
H(-2, 4), 1(0,5), H3, 2)

Answers

Answer:

H'(0, 3); I'(2, 4); J'(5, 1)

Step-by-step explanation:

H'(-2+2,4-1)

H'(0, 3)

I'(0+2, 5-1)

I'(2, 4)

J'(3+2, 2-1)

J'(5, 1)

Four students simplified the expression.
410
45
Camilla added the exponents: 410 + 5 = 415
Bentley divided the exponents: 410 + 5 = 42
Mira multiplied the exponents: 410.5 = 450
Regan subtracted the exponents: 410 - 5 = 45
Which student correctly simplified the expression?

Answers

Answer:

camilaaaaaaaaaaaaaaa

Answer:

Regan subtracted the exponents: 410 − 5 = 45

30 POINTS!!!!
A scuba diver is swimming at a depth of 46 meters below sea level. He swims 0.5 meters toward the surface every 3 seconds.

What is his location relative to the surface after 15 seconds?

Answers

he is at sea level 43.5 i am pretty sure

Answer:

The scuba diver would be 43.5 meters from the surface after 15 seconds

Step-by-step explanation:

So first we need to take 0.5 and multiply it by 5 since we know 15 divided by 3 is equal to 5, and we get 2.5

We then take 46 and subtract 2.5 from it, resulting in 43.5

Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply. They have different slopes. They have different y-intercepts. The substitution method results in the false statement, 8 = –1. The solution is (8, –1). There is no solution.

Answers

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

Answer:

B,C and E

Step-by-step explanation:

It is trust me

I
If 3 lb. of candy cost $20. 25, how much
would 1 lb. of candy cost?
HELP

Answers

Answer:

1lb would be 6.75 because you need to divide 20.25 by 3 lb

Step-by-step explanation:

can u explain how to do this question..pls​

Answers

Answer:

use this formula, you will get the answer

Step-by-step explanation:

√(x2-x1)²+(y2-y1)²

Answer:

RS ≈ 5.39

Step-by-step explanation:

Calculate the length using the distance formula

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

with (x₁, y₁ ) = R(- 2, 6) and (x₂, y₂ ) = S(- 4, 1)

RS = [tex]\sqrt{(-4+2)^2+(1-6)^2}[/tex]

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

     = [tex]\sqrt{4+25}[/tex]

      = [tex]\sqrt{29}[/tex]

      ≈ 5.39 ( to 2 dec. places )

Which statement correctly describes the relationship between the graph of f(x) and g(x)=f(x−7)?

The graph of g(x) is the graph of ​f(x)​ translated 7 units down.
The graph of g(x) is the graph of ​f(x)​ translated 7 units left.
The graph of g(x) is the graph of ​f(x)​ translated 7 units right.
The graph of g(x) is the graph of ​f(x)​ translated 7 units up.

Answers

Step-by-step explanation:

When the number is inside the parenthesis. It means horizontal shift. Now negative is to the right and positive is to the left. Since it is negative 7 it would be 7 units to the right

any more help just ask :)

Answer:

The graph of g(x) is the graph of ​f(x)​ translated 7 units up.

Step-by-step explanation:

Moreeeeee points. Hope you guys like

Answers

Answer:

Thank you very much :3

Have a great day!

also 1 + 1 is 2

Answer:

yeah I like that your free points and thanks

Which phrases could n + 10 represent? Check all that apply.
the sum of a number and ten
the difference between a number and ten
a number plus ten
the difference between ten and a number
ten more than a number

Answers

The sum of a number and ten,

A number plus ten,

Ten more than a number.

Answer:

The sum of a number and ten

A number plus ten

Ten more than a number

Step-by-step explanation:

edg

Will be mark brainless

A. 28
B. 0
C. 4
D. 1

Answers

the answer to your problem is A or 28

The perimeter of a rectangle is 70cm.
Its shortest side has a length of 10cm.

Answers

Answer:

l=25 cm

Step-by-step explanation:

The perimeter of a rectangle

2(l+w)=70 cm

(l+10)=70/2

l=35-10

l=25

Note : you have no question. So I just assume it

Which are the intercepts of the equation y+2=4(x+1) ?

Answers

Answer:

x-intercept is ([tex]- \frac{1}{2}, 0[/tex]) and y-intercept is ([tex]0, 2[/tex])

Step-by-step explanation:

How do we find the y-intercept of a function?

We solve the equation when x=0. Let's try that with [tex]y+2=4(x+1)[/tex]

First, let's simplify it so that it resembles [tex]y=mx+b[/tex] more noticeably

[tex]y = 4x + 4 - 2 \\y = 4x + 2[/tex]

Now let's plug in 0 for x to find the y-intercept:

[tex]y = 4\cdot 0 + 2\\y = 2[/tex]

How do we find the x-intercept of a function?

We solve the equation when y=0. Let's try this from the simplified equation we got ([tex]y = 4x + 2[/tex])

[tex]0 = 4x + 2\\-2 = 4x\\\frac{-2}{4} = x\\x = - \frac{1}{2}[/tex]

We must remind ourselves that all y-intercepts have an x that is equal to 0 and that all x-intercepts have a y equal to 0.

That means that our x-intercept will be ([tex]- \frac{1}{2}, 0[/tex]) and our y-intercept will be ([tex]0, 2[/tex])

This corresponds to the 3rd option counting from the left.

Good luck!

Which is a better deal and why? And find the unit rate for both if you wanna help pls

Answers

Unit rate = cost / quantity

Lower unit rate is better deal.

3.50/10 = 0.35

2.40/6 = 0.40

The original 10 for 3.50 is the better deal.

Answer:

As we know that

Unit = Rate/Quantity

[tex] \tt \: \dfrac{3.50}{10} = 0.35[/tex]

[tex] \tt \dfrac{2.40}{6} = 0.40[/tex]

The original deal was better because it was cheap than new deal.

A rectangle is 15 feet long and 9 feet wide. Find its area.

Answers

Step-by-step explanation:

Since area = length(width) = l(w)

We need to multiply 15 and 9.

15(9) = 135

Therefore, the area of the rectangle is 135 ft

Area of the rectangle is 135 feet square

What is Rectangle?

A rectangle is a quadrilateral with four right angles.

What is Area?

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

Given,

Length of the rectangle = 15 feet

Width of the rectangle = 9 feet

Area of the rectangle = Length × Width

=15×9

=135 feet square

Hence, the area of the Rectangle is 135 feet square

Learn more about Rectangle and Area here

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A
116°
27°
.Y
37°
Z
A. AZ
B. ZY
C. AY
D. ZW

Answers

Answer:

B.  ZY

Step-by-step explanation:

The longest side of any triangle will always correlate with the largest angle. Since m∠A = 116° and is biggest, the corresponding side ZY would be the largest side.

What is the area of the figure composed of a parallelogram, a square, anda rectangle?
10 in.
3.5 in.
4 in.
6 in.
12.5 in.
Enter the answer in the box.
___ square inches

Answers

Answer:

126 in^2.

Step-by-step explanation:

Area of parallelogram = 10 * 3.5 = 35.

Area of the square = 4*4 = 16.

Area of the rectangle = 6 * 12.5 = 75

Total area = 35 + 16 + 75

= 126 in^2.

A line passes through the origin and (4, 5). Which point is also on the line?

Answers

Answer:

I belive (8,10)

Step-by-step explanation:

8 is 4 twice

10 is 5 twice

It is 8,10 i think that’s right

The temperature is 4 °C at 6 a.m. and rises 13 °C by midday.
What is the temperature at midday?

Answers

Answer:

17°C

Step-by-step explanation:

temperature rises by 13, so the temperature will be 4+13 = 17°C

The graph of a non-invertible function passes through the points (−2,4), (0,2), and (3,−2).

How is the inverse of this function graphed?

Answers

9514 1404 393

Answer:

line y = x(4, -2), (2, 0), (-2, 3)

Step-by-step explanation:

The graph of an inverse relation is the reflection of the graph of the relation over the line y = x. That interchanges the coordinates of the points of the function. (-2, 4) becomes (4, -2) when so reflected, for example.

6.4 divided by 208 What is the quotient for the equation above?

Answers

Answer:

0.030769

Step-by-step explanation:

Find the equation of the line.
Use exact numbers.
y =
x+
Can I please get an explanation :)

Answers

Answer:

the equation is in form

y=mx+b where

m=slope

and

b=y-int (the y value for the vertex)

first we look to see what the y value is for the point where x=0 and we can see that it is 5 so b=5

then we look at the slope, slope it the amont of units up then to the side are needed to reach the next point, in this case the line goes up 1 then to the right 1 so the slope is 1/1 (1) so the full equation is

y=x+5

Step-by-step explanation:

The angle lies in Quadrant II.
sin0=3/4
What is cos 0?

Answers

Answer:

cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex]  ⇒ B

Step-by-step explanation:

Let us solve the question using one of the identities of trigonometry

sin²Ф + cos²Ф = 1

∵ sinФ = [tex]\frac{3}{4}[/tex]

→ Substitute it in the rule above to find cos Ф

∴ ([tex]\frac{3}{4}[/tex])² + cosФ² = 1

∴ [tex]\frac{9}{16}[/tex] + cosФ² = 1

→ Subtract [tex]\frac{9}{16}[/tex]  from both sides

∴ cos²Ф = [tex]\frac{7}{16}[/tex]

→ Take √ for both sides

cosФ = ± [tex]\frac{\sqrt{7}}{4}[/tex]

∵ Angle Ф lies on the second quadrant

∴ cosФ is a negative value

∴ cosФ = [tex]-\frac{\sqrt{7}}{4}[/tex]  

cosФ is [tex]-\frac{\sqrt{7}}{4}[/tex]  

Which expression is equal to 567.083?
A
(5×100)+(6×10)+(7×1)+(8×100)+(3×1000)
B
(5×100)+(6×10)+(7×1)+(8×110)+(3×1100)
C
(5×100)+(6×10)+(7×1)+(8×1100)+(3×11000)
D
(5×100,000)+(6×10,000)+(7×1000)+(8×10)+(3×1)

Answers

Answer:

the answer is D

Step-by-step explanation:

u just have to add them all up

please help me with this

Answers

Answer:

B

Step-by-step explanation:

I need help solving this

Answers

Answer:

x=10

y=25

Step-by-step explanation:

3x-10+5x+30+6x+20=180

14x+40=180

14x=180-40

14x=140

x=10

9x-10=4y-20

9(10)-10=4y-20

90-10=4y-20

80=4y-20

80+20=4y

100=4y

25=y

select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))

Answers

Answer:

Me and my massive brain, among other massive things of mine, believe it to be -1

Step-by-step explanation:

The value of the function F(g(x) will be equal to (7 / 2).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given functions are:-

f(x)=3x-7 g(x)= x +(1/x-1)

The function F(g(x) is written as :-

F(g(x) = 3 [ x + ( 1 / ( x-1 )) -7 ]

F(g(x) = 3 [ (3 + (1/2) - 7 ]

F(g(x) = 3 (7 / 2 ) -7

F(g(x) = ( 21/2) - 7

F(g(x) = ( 21-14 ) ( 2 )

F(g(x) = ( 7/2 )

Therefore the value of the function F(g(x) will be equal to (7 / 2).

To know more about function follow

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A side of the triangle below has been extended to form an exterior angle of 132°. Find the value of x.

Answers

Answer:

114 degree

Step-by-step explanation:

Lola's hockey team lost 15% of
their games this season. If they
lost 3 games, how many games
did they play in total?
(show your work)

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

Let [tex]x[/tex] = games played in total

From the fact that [tex]15\%[/tex] of the games the team played is equivalent to [tex]3[/tex] games, we can write:

[tex]15\%x = 3[/tex]

[tex]x=3\div 15\%[/tex]

[tex]=20[/tex]

∴ Lola's hockey team played a total of 20 games.

Hope this helps :)

HELPPPPPPPPPPPP PLSSSSSS

Answers

Answer:

(x, y) → (x + 8, y - 3)

Step-by-step explanation:

To find the rule of translation, we can find one point on both figures to calculate the change in the x-axis and y-axis.

Let's say we take the point D (0, -1).

(-1, 0) → (7, -3)

Change in x = 7-(-1)

                    = 7 + 1

                    = 8

Change in y = -3-0

                    = -3

Thus, the change is (x + 8, y - 3)

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