A rocket is fired upward from ground level with an initial velocity of 1600ft/sec . When will the rocket be above 1000ft? Show your work. Round your answer to the nearest tenths. Write the answer in set notation.

Answers

Answer 1

Answer:

{t: 0.6 < t < 99.4}.

Step-by-step explanation:

Use one of the equations of motion under gravity.

s = ut + 0.5gt^2       where s = distance, u = initial velocity, g = acceleration due to gravity and t = the time.

So we have:

1000 = 1600t  + 0.5* -32*t^2            ( acc due to gravity is negative as we are acting against it).

16t^2 - 1600t + 1000 = 0

t =  (1660 +/- sqrt(1600^2 - 4*16*1000) / 32

This gives t = 0.629 , 99.371 seconds.

So the time is above 0.6 seconds (to the nearest tenth) and before 99.4 seconds.


Related Questions

help me pleaseeeeeeeee​

Answers

Answer:

Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence

Thank me Later :D

Step-by-step explanation:

Complete the conjecture based on the pattern you observe in the examples below:

Conjecture: The sum of any two odd numbers is ___

1 + 1 = 2 9 + 11 = 20

1 + 5 = 6 13 + 21 = 34

7 + 9 = 16 101 + 103 = 204


Conjecture: The product of any two numbers is ___

1 . 1 = 1 9 . 11 = 99

1 . 3 = 3 13 . 11 = 143

3 . 7 = 21 101 . 103 = 10,403


Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___

3 . 5 = 4² - 1 7 . 9 = 8² - 1

4 . 6 = 5² - 1 6 . 8 = 7² - 1

5 . 7 = 6² - 1 8 . 10 = 9² - 1

Answers

Step-by-step explanation:

the writing and spacing of the problem description is difficult to understand.

but there is no mystery. look at the examples.

all of them

3×5 = 15 = 16 - 1 = 4² - 1

4×6 = 24 = 25 - 1 = 5² - 1

5×7 = 35 = 36 - 1 = 6² - 1

6×8 = 48 = 49 - 1 = 7² - 1

7×9 = 63 = 64 - 1 = 8² - 1

8×10 = 80 = 81 - 1 = 9² - 1

so, what does this look like ?

(x-1)×(x+1) is always equal to (x² - 1)

A book has 5 pages,10 copies of the same books will be made .How many pages will be printed?

Answers

Answer:

50

Step-by-step explanation:

5 pages * 10 copies = 50 pages

the net force on a
rock with a mass of 20 kg is
19.6 N. What is the accelera-
tion of the rock?

Answers

0.98 m/s^2
19.6/20=aw
F=ma

SCALENE


EQUILATERAL


ISOSCELES

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

An isosceles triangle is a triangle with 2 equal sides, and in this given figure, we can see that it has been marked to show us that two sides are equal, so isosceles is the answer.

Answer:

isosceles triangle

Step-by-step explanation:

From the picture, we know that two sides are equal.

If two sides are equal, then it is an isosceles triangle

alguien me ayuda????

Answers

What do you need help with?

Solve for x.

2x/3 +1=3

O x =6
O x =3
O x = 1 1/3
O x = 2 2/3

Answers

Answer:

3......................

Answer:

X=3!

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.  

Step 2: Subtract 1 from both sides.

Step 3: Multiply both sides by 3/2.

Answer:

x=3

work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

Answers

Answer:

x = 3.08

Step-by-step explanation:

Area formula:

A = 1/2bh

The height is:

h = (x + 2)sin 45° =  (x + 2) ×√2/2

Substitute the value for area and set equation:

4√2 = 1/2 ×  (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)    

Note the second root ignored as negative

Answer:

x = 3.08  (3 s.f.)

Step-by-step explanation:

Area of a Triangle (using sine)

 [tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]

where:

a and c are adjacent sidesB is the included angle

Given:

Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°

Substitute the given values into the formula:

[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]

[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]

[tex]\implies (2x-3)(x+2) =16[/tex]

[tex]\implies 2x^2+4x-3x-6=16[/tex]

[tex]\implies 2x^2+x-22=0[/tex]

Use the Quadratic Formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]

[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]

As distance is positive:

[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]

solve please ;3 ( will give brainliest ♡ )

Answers


Hey!!

If h(x) =7x + 3x^2 and u want h(4)
U just do this x=4

h(x) =7x + 3x^2 , x=4

h(4) =7x4 + 3x4^2
h(4) =28 + 3x4^2
h(4) =28 + 48
h(4) =76 , i think that’s it

please help I dont understand ​

Answers

Answer:

I dont know The answer sorry

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters. Two two-centimeter holes are drilled in the plate, positioned as shown in the figure. Find the coordinates of the center of each hole.

Answers

top hole

x = 38 cos 60

y = 38 sin 60

bottom hole

x = 38 cos 30

y = 38 sin 30

The coordinate of holes is (43.3, 25) and (25, 43.3).

Circle

It is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Given

A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.

Two 2 centimeter holes are drilled in the plate.

To find

Two 2 centimeter holes are drilled in the plate, positioned.

How to find the position of holes?

Holes are at 50 cm from the center at an angle of 30 and 60 degrees.

So the coordinate will be given by

[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]

Then for the first hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]

For the second hole r = 50, at 30 degrees,

[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]

Thus the coordinate of holes is (43.3, 25) and (25, 43.3).

More about the circle link is given below.

https://brainly.com/question/11833983

Please solve with explanation

Answers

Answer:

Hope it helps you.......

d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?
1. cos x sin^2x
2. 1+2 sin^2x cos x
3. 3 sin^2x cos x
4. 2 sinx cos x+sin^2x cos x
5. 2 cos x sin^2x+ sin x cos x

Answers

Step-by-step explanation:

1)2*(Cos(x)^2*Sin(x))-Sin(x)^3

2)4*(Cos(x)^2*Sin(x))-2*Sin(x)^3

3)6*(Cos(x)^2*Sin(x))-3*Sin(x)^3

4)2*Cos(x)^2+2*(Cos(x)^2*Sin(x))-2*Sin(x)^2-Sin(x)^3

5)Cos(x)^2+4*(Cos(x)^2*Sin(x))-Sin(x)^2-2*Sin(x)^3

What is the value of the expression3+3⋅72−9⋅103+3⋅72−9⋅10 ?

Answers

-7.763 will be the total to the answer.

what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)?

Answers

Answer:

X = 2

Step-by-step explanation:

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.
4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

5. Explain what the solution means in the context of the word problem.

Answers

Answer:

C is the inequality

Hope it's help :D

Step-by-step explanation:

For question

4. Graph the solution to your inequality on a number line or describe, in words, how to graph the inequality on a number line.

ABCD is a rectangle and AC and BD are its diagonals. If AC = 10 cm, then BD is?

A. 10 cm
B. 5 cm
C. 15 cm
Or D. 20 cm

Lemme know, take ur timeee

Answers

Answer:

A. 10 cm

Step-by-step explanation:

In a right angled triangle, a² + b² = c² where c is the diagonal or hypotenuse. If you split a rectangle diagonally into two right angle triangles, the a and b of both triangles would be the same length. Therefore, the c or diagonals would also be the same length - 10 cm.

Hope this helps!

10 because they are congruent

Find an equivalent system of equations for the following system:
2x + 4y = 4
−5x + 5y = 5

A. 2x + 4y = 4
−3x + y = −1

B. 2x + 4y = 4
7x + 5y = −1

C. 2x + 4y = 4
7x − y = 5

D. 2x + 4y = 4
7x − y = −1

Answers

answer is A. it’s jus correct

The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.

Answers

Answer:

(64.7, 67.9)

Step-by-step explanation:

(66.3-2*08, 66.3+2*0.8)

(66.3-1.6, 66.3+1.6)

(64.7, 67.9)

translate the sentence into an inequality.
The product of w and 8 is greater than or equal to -16.

Answers

The inequality would be 8w≥-16

Answer:

8w ≥ -16

It's pretty simple.

Product means it has something to do with multiplication.

≥ This is the greater than or equal to sign.

Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest

Answers

Big bag don't mean everything wavy

I got 99 problems like Jay Z

Caught a felony judge tried to slave me

Lost my grandmother R.I.P Mavy

I got money and move shady

What is the formula for distance?

Answers

Answer:

Hope my answer helps you mark me brianliest plz

Step-by-step explanation:

d =√(x2-x1)+(y2-y1)

Distribute: -(14s+9)-7(s+11)

Answers

Answer: -21s-86

Step-by-step explanation:

Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86

Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

From the question,

We are to distribute -(14s+9)-7(s+11)

To do this,

We will clear the bracket by distributing the terms outside

That is,

-(14s+9)-7(s+11) becomes

-14s -9 -7s -77

Now, if desired, we can simplify further by collecting like terms

-14s -9 -7s -77

-14s -7s -9 -77

Then, we get

-21s -86

The simplified expression is -21s -86

Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

Learn more here: https://brainly.com/question/11854155

Lee has 14 strawberry scones and 21 Raspberry scones. He wants to make as many identical bags of scones as possible. Each bag should have an equal number of Strawberry scones and an equal number of Raspberry scones. What is the greatest number of bags Lee can​ fill? Explain how you know.

Answers

Answer:

SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D

Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.


An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.

Answers

Answer:

the second and last sentences.

Step-by-step explanation:

Its the most reasonable!

Answer:

It is accutally 1st 2nd and 3rd plz trust me

Step-by-step explanation:

it is the corect

If the f(x)=2x-1 and g(x)=x^2-1 find what the g(f(a-1)) is

Answers

Answer:

GOOD LUCK ON YOUR TEST YOU WILL DO GOOD

Step-by-step explanation:

what is the lcm of 9 and 12

Answers

Hi there! To find the LCM of 9 and 12, let's first list some of their multiples.

9: 9, 18, 27, 36, 45, 54, 63, 72, 81...

12: 12, 24, 36, 48, 60, 72, 84...

Do you see what I see? The LCM is 36. Hope this helps!

~Just an emotional teen who listens to her favorite songs

[tex]SilentNature[/tex]

solve 4(2x-5)=5x+4 pls​

Answers

Answer:

x=8

Step-by-step explanation:

4(2x-5)=5x+4

Distribute

8x -20 = 5x+4

Subtract 5x from each side

8x -20 -5x = 5x+4-5x

3x-20 = 4

Add 20 to each side

3x-20+20 = 4+20

3x = 24

Divide by 3

3x/3 =24/3

x=8

May I please receive help?
Please

Answers

Answer:

A) F=25°

B) AB=12

‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌‌

Line segment RS has endpoints R (-2, 4) and S (-4, -1).

Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).


Name the transformation that maps line segment RS to line segment R''S''.

Answers

Answer:

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀  .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

           y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"

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