The height (in feet) of a rocket from ground level is given by the function f(t) = -16t2 + 220t. What is the instantaneous velocity of the rocket 12 seconds after its launch?

Answers

Answer 1

Answer:

-164 ft/second.

Step-by-step explanation:

The instantaneous velocity is given by the derivative;

f(t) = -16t^2 + 220t

V = f'(t) = -32t + 220

So at 12 seconds:

V = -32*12 + 220

= -164 ft/second ( It is negative because it is descending).


Related Questions

In the figure below, which term best describes point V?

Answers

Answer:

A

Step-by-step explanation:

The name of the point represented by V is an orthocenter. Option A

An orthocenter of a triangle.

A triangle's point of concurrency is its orthocenter. It is the location where the triangle's three altitudes come together.

A line segment drawn perpendicular from a triangle's vertex to the other side or its extension represents the triangle's altitude.

Usually, the letter "H" is used to indicate the orthocenter. It is a crucial point in triangle geometry and has a variety of characteristics and connections to other triangle points like the circumcenter and centroid.

Learn more on orthocenter here: https://brainly.com/question/22440007

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estimate the limit of x-3/x^2-9

Answers

Answer:

b

Step-by-step explanation:

The central angle of a circle measures
97º and intercepts a minor arc. What is
the measure of its major arc?​

Answers

Answer:

Step-by-step explanation:

Steven nas a deck OF 52 playing cards, as shown below. Determine the
theoretical probability of each event. Express each probability as a fraction
simplest form.
A. Randomly selecting a red card
B. Randomly selecting a 7, 8, 9, or 10
C. Randomly selecting the 6 of diamonds
D. Randomly selecting a card that is not a king

Answers

The answer. Because Steven has 52 playing cards right. The answer is c.

Step-by-step explanation:

a. Randomly selecting a red card =

[tex] \frac{1}{2 } [/tex]

have 26 card choices

B. Randomly selecting a 7, 8, 9, or 10 =

[tex] \frac{4 \times 4}{52} = \frac{16}{52} = \frac{4}{13} [/tex]

(have 4*4 card choice)

C. Randomly selecting the 6 of diamonds =

[tex] \frac{1}{52} [/tex]

(only 1 card choice)

D. Randomly selecting a card that is not a king

[tex]1 - \frac{4}{52} = \frac{48}{52} = \frac{12}{13} [/tex]

1 - all possibility that can select the king

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?

Answers

Answer:

-66

Step-by-step explanation:

There will be $66 left after the $12 spent on lunch. 66 + -66 = 0

The number could be -66 combined with the amount left in the account to make zero.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Student has $78 in his checking account

Student spends $12 on lunch

Let, the number is x

78 + x - 12 = 0

x = - 66

Learn more about Arithmetic operations here:

brainly.com/question/25834626

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If a shirt costs $40 and the amount of tax collected was $2 what is the sales tax rate?

Answers

Answer:

5%

Step-by-step explanation:

To find the tax, we take the price times the tax rate

2 = 40* rate

Divide each side by 40

2/40 =rate

.05 = rate

Changing to percent form

5% = rate

Answer:

tax rate = 2 / 40  = 1 /20 = 0.05 *100 = 5%

Step-by-step explanation:

What’s the correct answer for this question?

Answers

Answer:

D

Step-by-step explanation:

Izan can use the slope formula to show that the slope of KL and MN are equal.

Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands.The table shows the numbers of kernels and berries on two of Belinay's garlands. Based on the ratio, complete the missing values in the table.

Answers

Answer:

20 kernels

21 Berries

Step-by-step explanation:

Belinay is making garlands of popcorn kernels and berries to feed the wildlife. The diagram shows the ratio of popcorn kernels to berries Belinay uses on the garlands

Kernels 4

Berries 3

Kernerls : Berries :: 4 : 3

in Garland  A  - Berries = 15

if berries  = 3  then  Kernel  = 4

=> if berries  = 1  then  Kernel  = 4/3

=> if berries  = 15  then  Kernel  = 15 * 4/3  = 20

Kernels in Garland A = 20

in Garland B  -  Kernel = 28

if Kernel = 4  Then Berries = 3

=> if Kernel = 1  Then Berries = 3/4

=> if Kernel = 28  Then Berries = 18 * 3/4 = 21

Beriies in Garland B = 21

Garland         Kernels             Berries

A                     20                   15

B                      28                   21

Answer:

Garland         Kernels             Berries

A                     20                   15

B                      28                   21

Step-by-step explanation:

What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.

Answers

Answer:

Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term

24x3=72

subtract 72 to find the term

8-72=-64

Should be -64 but we will still continue the pattern to double check

8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64

-64 is the 25th term

Hope this helps

Step-by-step explanation:

For the functions f(x)=6x−4 and g(x)=2x2+5, find (g∘f)(x).

Answers

Answer:

72x^2-96x+37

Step-by-step explanation:

Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!

Answers

Answer:

B

Step-by-step explanation:

Since the equation is all positive, the curve should concave towards the 4th quadrant.

Bbbbb ite b itsbdbdksjbcnwkskdkannxjxksla

What statement accurately describes the scatter point?
A. There are three distinct clusters.
B. There are no outliers.
C. There is one outlier.
D. There are two outliers.

Answers

D- there are two outliers

Find two numbers for which the sum is 101 and the difference is 47

Answers

Answer:

74 and 27

Step-by-step explanation:

let x and y be the numbers

x + y =101........eqn 1

x - y = 47.......eqn 2

solve simultaneously

from equation 2, make x the subject

x= 47 + y........eqn 3

put eqn 3 into eqn 1

(47+y) + y = 101

47 + 2y = 101

       2y= 101 - 47

       2y=54

         y= 54/2

         y= 27

put y=27 into eqn 3

x = 47 + 27

x = 74

74 and 27

74+27=101
74–27=47

Plzzz mark as brainleast plzzz plzzz

The mean life of a tire is 30,000 km. The standard deviation is 2000 km. 95% of all tires will have a life between___ km and ___km.

Answers

Answer:Need more infromation

Answer:

Between 26,000 and 34,000 km.

Step-by-step explanation:

95% of a data set will be within 2 standard deviations of the mean.

Therefore, the range will be from "μ - 2σ" to "μ + 2σ".

A group of students is given a 10 by 10 grid to cut into individual unit squares. The challenge is to create two squares using all of the unit squares. Their teacher states that after the two new squares are formed, one should have a side length two units greater than the other.Which equation represents x, the side length of the greater square?

Answers

Answer:

8 is the side length of the greater square.  100=x^2+(x-2)^2

Step-by-step explanation:

64+36=100

8 squared plus 6 squared equals 10 squared

8 is 2 more than 6

100=x^2 +y^2

x-y=2

100=x^2+(x-2)^2

What is 4/12 x 70.please help me

Answers

Answer:

70/3

Step-by-step explanation:

Your welcome :)

Step-by-step explanation:

4 / 12 = 1/3 = 0.33

0.33 x 70 = 23. 33

A child is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 33,500 feet and the child’s eyes are located 8,200 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the child’s line of sight to the plane?

Answers

Answer:

  about 76.2°

Step-by-step explanation:

The geometry can be modeled by a right triangle with the given dimensions being the side opposite the angle (height = 33,500 ft) and the side adjacent to the angle (8,200 ft). The fact that you know these two sides suggests the inverse of the tangent function may be useful.

  Tan = Opposite/Adjacent

  tan(angle) = (33,500/8,200)

  angle = arctan (335/82) ≈ 76.246°

The angle of elevation is about 76.2°.

3х + 8 = 15
2x — 8y = 10

Answers

Answer:

  (x, y) = (5, 0)

Step-by-step explanation:

Maybe you're trying to solve the system ...

3x +8y = 152x -8y = 10

It is convenient to add the two equations to eliminate the y-variable.

  (3x +8y) +(2x -8y) = (15) +(10)

  5x = 25 . . . . . . simplify

  x = 5 . . . . . . . . divide by 5

Substituting into the first equation, we have ...

  3(5) +8y = 15

  8y = 0 . . . . . . . subtract 15

  y = 0 . . . . . . . . divide by 8

The solution to the pair of equations we think you want to solve is ...

  (x, y) = (5, 0)

Work out the size of x

Answers

Answer:13°

Step-by-step explanation:

a + b + x=180 sum of angles in a =180°

85° is alternate to a

Therefore a=85°

98° and b are supplementary angles

98+b=180

b=180-98

b=82°

Recall that

a + b + x=180

85+82+x=180

167 + x=180

Collect like terms

x=180-167

x=13°

A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign language translations with two computerized language translators. Because the type of language translated was also considered a significant factor, translations were made with both systems for three different languages: Spanish, French, and German. Use the following data for translation time in hours.

Language
Spanish French German
System 1 9 12 13
13 16 17
System 2 9 15 19
13 17 25

Test for any significant differences due to language translator system (Factor A), type of language (Factor B), and interaction. Use = .05.

Complete the following ANOVA table (to 2 decimals, if necessary).

Source of Variation Sum of Squares Degrees of Freedom Mean Square F
Factor A
Factor B
Interaction
Error
Total

The p-value for Factor A is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 18

What is your conclusion with respect to Factor A?
- Select your answer -Factor A is significantFactor A is not significantItem 19

The p-value for Factor B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 20

What is your conclusion with respect to Factor B?
- Select your answer -Factor B is significantFactor B is not significantItem 21

The p-value for the interaction of factors A and B is - Select your answer -less than .01between .01 and .025between .025 and .05between .05 and .10greater than .10Item 22

What is your conclusion with respect to the interaction of Factors A and B?

Answers

Answer:

The ANOVA table and the solution are attached below

(7 points) Briefly explain what perfect multicollinearity is and how it relates to what is often called the "dummy variable trap". This is where if you have multiple binary regressors (variables that are either 0 or 1) to represent a series of groups, you have to leave the variable that represents one of the groups out of the regression.

Answers

Find the given attachments

Solve for x
8 (V2 - x) = 11

Answers

Answer:

V^2 - 11/8

Step-by-step explanation:

8(V^2 - x) =11

V^2 = 11/ 8 + X

X= V^2 - 11/8

Answer:

x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Step-by-step explanation:

Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11

Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]

Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

What whole number when rounding to the nearest hundred is 700

Answers

Answer:

honestly quite a lot

Step-by-step explanation:

any number from 650-699, and also from 700-749

Answer:

range, 700-749

Step-by-step explanation:

he diameter of the circle is 18 m. Eugene incorrectly says that the circumference of the circle is about 113.04 m. What is the circumference of the​ circle? What mistake did Eugene ​make? Use 3.14 for pi.

Answers

Answer:

The circumference of the​ circle is [tex]C=56.55 \:m[/tex].

Eugene confused the radius with the diameter to find the circumference of the circle.

Step-by-step explanation:

The circumference of a circle is the distance around the outside of the circle.

The circumference of a circle is found using this formula:

[tex]\begin{matrix} C=\pi \cdot d\\or\\ \, C=2\pi \cdot r \end{matrix}[/tex]

From the information given the diameter of the circle is 18 m. Therefore, the circumference of the​ circle is

[tex]C=\pi \cdot d\\\\C=3.14 \cdot 18 \approx 56.55 \:m[/tex]

Eugene used the wrong formula to find the circumference of a circle.

[tex]C=2\cdot(3.14)\cdot 18=113.04 \:m[/tex]

He confused the radius with the diameter.

Answer:

Eugene used the wrong formula to find the circumference of a circle.

He confused the radius with the diameter.

Step-by-step explanation:

Needing help can’t seem to find the answers? ‍♀️

Answers

Step-by-step explanation:

19. Kim's Path = √240² + 100²

= √57600 + 10000

= √67600

= 260 ft.

Answer:

17 question: we are going to use Pythagorean Theorem :

33^2 + 56^2 = x^2

1089+3165 = x^2

4225=x^2

x=-65

x=65

the answer is c)65

18 question i dont know :((

19 question : we are going to use same method as the first question : the answer is 260 ft

that's all that i can do for you

Step-by-step explanation:

hope this helps you :)

If a binomial is A polynomial, Then a poly nominal is a binomial. Is this always, sometimes, or never

Answers

Sometimes true. Take for example the trinomial [tex]x^2+2x-3,[/tex] which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial [tex]x+2.[/tex]

Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?

Answers

Answer: Equilateral, isosceles and scalene.

Step-by-step explanation:

Which expression is equivalent to m n + z?
n m + n
z + m z
m z + n
z + n m

Answers

Answer:

z + n m

Step-by-step explanation:

These expressions are equivalent because the commutative property of addition, which states that when adding two terms, the order doesn't matter.

If this answer is correct, please make me Brainliest!

Answer:

It's "c"

Step-by-step explanation:

i just did this on edge

A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes. At α = 0.01, test the retailer's claim. Assume the distribution is normally distributed. Round the test statistic to the nearest thousandth.

Answers

Answer:

The claim is not true

Step-by-step explanation:

We are given that A local retailer claims that the mean waiting time is less than 8 minutes.

[tex]H_0:\mu=8[/tex]

[tex]H_a:\mu<8[/tex]

A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.

[tex]\bar{x}=6.3[/tex]

s = 2.1

n = 20

Since n <30 and population standard deviation is unknown

So,we will use t test

So,[tex]t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}[/tex]

t=-3.62

α = 0.01

Degree of freedom = df=n-1=20-1=19

[tex]t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861[/tex]

t calculated < t critical

So, we failed to reject null hypothesis

Hence the claim is not true

the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?

Answers

Answer:

Denote B(x, y), we have:

-10 + x = 2 x (-16) => x = -22

  8 + y = 2 x 6 => y = 4

=> B(-22, 4)

Hope this helps!

:)

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