The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equation that tells us when the t-shirt hits the ground. b. At what time does the t-shirt hit the ground. SHOW ALL WORK. Round to 2 decimal places.

Answers

Answer 1

Answer:

[tex](a)\ -16t^2 + 7t + 63=0[/tex]

[tex](b)\ t = 2.215[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 7t + 63[/tex]

Solving (a): Equation when it hits the ground.

This means that [tex]h(t) = 0[/tex]

So, we have:

[tex]h(t) = -16t^2 + 7t + 63[/tex]

[tex]-16t^2 + 7t + 63=0[/tex]

Solving (b): The value of t in (a)

[tex]-16t^2 + 7t + 63=0[/tex]

Using quadratic formula, we have:

[tex]t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

This gives:

[tex]t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}[/tex]

[tex]t = \frac{-7 \± \sqrt{4081}}{-32}[/tex]

[tex]t = \frac{-7 \± 63.88}{-32}[/tex]

Split

[tex]t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}[/tex]

[tex]t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}[/tex]

[tex]t = -1.7775; or\ t = 2.215[/tex]

Time can't be negative; So:

[tex]t = 2.215[/tex]


Related Questions

please answer In(5x-3)=4

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]

⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).

# ꧁❣ RainbowSalt2²2² ࿐

(checking answer!)

What is the fraction representation of 0.196 (6 repeating)?

Answers

Answer:

49/250 I think I'm not sure though

Answer:

[tex]\frac{59}{300}[/tex]

Step-by-step explanation:

Recall that [tex]\frac{x}{9}[/tex] returns the decimal [tex]0.\overline{x}[/tex]. In this case, we only want the 6 repeating. We can achieve this by finding the fraction excluding the 6 and then adding the repeating fraction with the 6.

0.19 as a fraction is simply [tex]\frac{19}{100}[/tex]

[tex]\frac{6}{9}[/tex] returns a repeating digit 6. However, we would like the 6 to be in the thousands place. Since it's already in the tenth place, we will divide the fraction by 100 to put it in the thousands place: [tex]\frac{6}{9}\cdot \frac{1}{100}=\frac{6}{900}[/tex]

Adding these two fractions, we get:

[tex]\frac{6}{900}+\frac{19}{100}=\frac{6}{900}+\frac{171}{900}=\frac{177}{900}=\boxed{\frac{59}{300}}[/tex]

the price of a photography machine in RS60000.find the price after inculding13%tax

Answers

Answer:

Rs. 67800

Step-by-step explanation:

Price of photograph = 60000 = 100%

Tax = x dollars = 13% of 60000

100% + 13% = 113% = 1.13

Multiply

1.13(60000) = 67800

To check, lets find 13% of 60000 and add to 60000

13% = 0.13

0.13(60000) = 7800

60000 + 7800 = 67800

Units = Rs

Rs. 67800

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A parabola has x-intercepts at -3 and 4. Write 2 possible equations of parabolas in
standard form that could satisfy the requirements.

Answers

x=-3

x=4

hope helps you

have a nice day

12) Two hexagonal pyramids are similar. The perimeters of the pyramids are 36 inches and 30
inches. If the volume of the larger pyramid is 64873 in what is the volume of the smaller
pyramid?
Please help me:)

Answers

Answer:

54061 in³

Step-by-step explanation:

Using proportion

Perimeter of smaller pyramid/ Perimeter of Larger pyramid = volume of smaller pyramid/ volume of Larger pyramid

30/36 = x/64873

Cross Mulitiply

36 × x = 64873 × 30

x = 64873 × 30/36

x = 54060.833333 in³

Approximately = 54061 in³

Therefore, the volume of the smaller pyramid is 54061 in³

solve the equation x - 4 = -3 help yall-

Answers

Answer:

x = 1

Step-by-step explanation:

x - 4 = -3

(add 4 to both sides)

x - 4 + 4 = -3 + 4

x = 1

Answer:

x = 1

Step-by-step explanation:

So you have to separate the x from the rest of the equation

so you can add 4 to both sides so x is by itself

so ur left with:

x = -3 + 4

and that is equal to x = 1

Hope that helps :)

Can Some one help fast easy question

Answers

Answer: x = 2

Step-by-step explanation:

4x + 4 = 2x + 8

2x = 4

x = 2

Answer: x = 2.

Step-by-step explanation: 4x+4=2x+8 subtract 4 from both sides.

4x = 2x+4 subtract 2x on both sides

2x = 4        divide both sides by two

x = 2

I hope this helps, have a nice day.

if anyone could just look at my recent question pls its super easy its just simplyfing

Answers

Answer: K

Step-by-step explanation:

Ill do it

help me with this please (2)

Answers

Answer:

Step-by-step explanation:

surface are of triangular prism =(a+b+c)h+bh

=(5+5+4)11+4*6

=14*11+24

=154+24

=178 yd^2

Which pair of angles must be supplementary?

2 lines intersect to form right angles. Another line goes through the lines diagonally to form 6 angles. From top left, clockwise, the angles are 2 (90 degrees), 1, 6, 5 (90 degrees), 4, 3.
Angle 1 and Angle 6
Angle 2 and Angle 5
Angle 5 and Angle 4
Angle 6 and Angle 2

Answers

Answer:

It has to be Angle 1 and Angle 6

Step-by-step explanation:

Hope it helps :)

Answer:

a or 1st answer

Step-by-step explanation:

edge

PLs, help me with this math question

Answers

Answer

for a area  of 10 i would do  rays like 2 by 5

Step-by-step explanation:

it would be  like  5 over and 2 down

need help again pls and ty​

Answers

Answer:

22 square units

Step-by-step explanation:

Area of a triangle formula:

A = 0.5bh

Given:

b = 11

h = 4

Work:

A = 0.5bh

A = 0.5(11)(4)

A = 5.5(4)

A = 22

Round 122.1587 to the nearest hundredth?

Answers

Answer:

100

Step-by-step explanation:

H T U

1 2 2

2 is a num below 5 therefore

2=0

If sin Θ < 0, cos Θ > 0, and tan Θ < 0, what quadrant are we in?

Answers

Answer:

um.. I do not know lol have funn

Which expression is equivalent to the following?
[tex]sin^4(x)-cos^4(x)[/tex]

This is basically calculus......

Answers

Step-by-step explanation:

[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]

[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]

[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]

[tex] = 2\sin^{2}x - 1[/tex]

[tex] = - \cos2x[/tex]

Note: I used the identity

[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]

for the last step.

PS. I love proving trigonometric identities!

find the product.
enter your answer in simplest form.

6x2/3 = _=_

Answers

Answer: 4

Step-by-step explanation:

6 • 2/3 =
12/3 =
4

find the value of x help ASAP

Answers

3x - 6 = 90

3x - 6 + 6 90 + 6

3x = 96

3x ÷ 3 = 96 ÷ 3

x = 32

What is 6.27 in expanded form?

Answers

Answer:

6+0.2+0.07

hope this helps

have a good day :)

Step-by-step explanation:

a small chocolate sundae costs $3. each topping you add costs $0.50. how much would it cost to get a small sundae with P toppings added?

Answers

Answer:

3=0.5p

Step-by-step explanation:

The cost to get a small sundae with P toppings added represented  as 3 + 0.5p.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let's consider the toppings added to the chocolate sundae represented by p.

We will use the unitary method,

The cost of topping added to one chocolate = $0.50

The cost of topping added to p chocolate = $0.5p

So, the cost to get a small sundae with P toppings added is;

3 + 0.5p

Therefore, the cost to get a small sundae with P toppings added represented  as 3 + 0.5p

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ5

Does the expression have a positive or negative value? PLS NO SCAMS THANK YOU

Answers

Answer:

positive because 2 negatives being multiplied=a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the expression has positive number because along with multiplying the number we should multiply sign too so when we multiply "-" * "-" it gives us "+"(positive ).

please solve the question with the process​

Answers

Answer:

Step-by-step explanation:

1-2(2x+1)=1-(x-1)

-1(2x+1)=1-(x-1)

-2x-1=1-x-1

-2x+x=0+1

-x=1

x=-1

The interior angle measure of a regular polygon is calculated with the following formula, where n represents the number of sides or interior angles of the regular polygon.




Determine the measure of the interior angles of a regular octagon and identify whether or not a regular octagon can be used as the only shape in a regular tessellation.


144°, no

135°, yes

144°, yes

135°, no



THE RIGHT ANSWER IS A 144°, no

Answers

Answer:

Step-by-step explanation:

The interior angle measure of a regular polygon is calculated with 180*(n-2)/n, where n represents the number of sides.

A regular octagon has 10 sides so it interior angle = 180*(10-2)/10

= 144

A tessellation is a tile pattern with the same polygon repeating. The polygon's interior angles must combine to form 360 degree. A regular octagon has interior angle of 144 degree which does not add to 360 degree. So a regular octagon cannot be used as the only shape in a regular tessellation.

The answer is 144°, no.

Answer:

Step-by-step explanation:

oct means 10

(n-2)/n * 180

= (10-2)/10 * 180

= 144°

144 + 144 = 288 < 360

144 + 144 + 144 = 432 > 360

so a regular octagon can NOT be used as the only shape in a regular tessellation.

ans is A

PLSSS HELP ME WITH THESE :)))

Answers

Answer:

7) [tex]x \to x - 3[/tex].

8) [tex]y \to y + 2[/tex]

9) The entire quadratic equation did not get reflected.

Step-by-step explanation:

7) A horizontal translation to the right is of the form:

[tex]x \to x - a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex], then the horizontal translation is represented by [tex]x \to x - 3[/tex].

8) A vertical translation upwards is of the form:

[tex]y \to y + a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex] , then the vertical translation is represented by:

[tex]y \to y + 2[/tex]

9) The only component of the quadratic equation that was reflected was the part [tex](x-3) ^{2}[/tex] along the x-axis. We can create the entire function by applying the following steps:

(i) [tex]f(x) = x^{2}[/tex] (Original function)

(ii) [tex]f(x) = (x-3)^{2}[/tex] (Horizontal translation)

(iii) [tex]f(x) = - (x-3)^{2}[/tex] (Reflection)

(iv) [tex]f(x) = -(x-3)^{2} + 2[/tex] (Vertical translation)

The entire quadratic equation did not get reflected.

what is the measure of this angle? god bless help pls

Answers

Answer:

The angle SQR is half the intercepted arc SR which is 43°

Write the equation of the line in slope-intercept form.

Answers

Answer:

[tex]consider : (7, 0) \: and \: (0, 70) \\ m = \frac{(70 - 0)}{(0 - 7)} \\ m = - 10 \\ y = mx + c \\ 0 = ( - 10 \times 7) + c \\ c = 70 \\ \therefore \: \: y = - 10x + 70[/tex]

Please help solve
[tex]\left \{ {{y=-2x+6} \atop {y= x-3}} \right.[/tex]
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[tex]\left \{ {{y=3x} \atop {x+y=52} \right.[/tex]

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The answers to the first two systems of equations

No links please! And I need this math answer quick

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Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

What is the greatest common factor of 20, 12, and 36?

Answers

Answer:

The answer is 4

Step-by-step explanation:

out of the total 225 students surveyed, what is the probability that a randomly selected student who is enrolled in spanish will also be taking math?

Answers

Answer:

5 ÷ 5 = 1

125 5 25

Step-by-step explanation:

The number between the two it's the number of people who does both

Which coordinate grid shows M plotted at (4,3)​

Answers

Answer:

B

Step-by-step explanation:

4,3 is x 4 y 3

Answer:

B

Step-by-step explanation:

graphs are put like this (x,y) your coordinate is (4,3) 4 is the x-axis meaning go right 4 times, 3 is your y so go up 3 times

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