If an arrow is shot upward on the moon with a velocity of 50 m/s, its height (in meters) after t seconds is given by H = 50t − 0.83t^2.

Answers

Answer 1

Answer:

The velocity is: 48.34m/s

Step-by-step explanation:

Given

[tex]u = 50m/s[/tex] --- initial velocity

[tex]h = 50t - 0.83t^2[/tex]

Required

The velocity after 1 second

We have:

[tex]h = 50t - 0.83t^2[/tex] and [tex]t = 1[/tex]

Differentiate

[tex]h' = 50 - 1.66t[/tex]

We have that:

[tex]v = h'[/tex]

So, the equation becomes

[tex]v = 50 - 1.66t[/tex]

Substitute 1 for t

[tex]v = 50 - 1.66*1[/tex]

[tex]v = 50 - 1.66[/tex]

[tex]v = 48.34[/tex]


Related Questions

need help w this pls guys

Answers

Answer:

B

Step-by-step explanation:

A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Round your answer to the nearest whole cubic inch.

Answers

the ball would actually come out to 5

Figure JKLM is similar to figure PQRS.
S
J
к
R
Р
M
L
Which proportion must be true for these figures?
QR JK
F
=
QP
LM
QR
RS
=
KL
JK
QR
H
Il
PO
LM
QR
Il
PS
IM
KL

Answers

Answer:

the answer is D

Step-by-step explanation:

i found it in quizzes and Quizlet

1) Find the area of  ABC to the nearest square centimeter.

Answers

that is right correct answer

i need help 3x²+7x+3=0

Answers

Answer:

60

Step-by-step explanation:

3x=3 multiplied by 2 which is 3x3=9

so, 9+(7x= 7x7=49) 49+3=61 rounded to 60

A recent study revealed that the average weight of babies born in the United States is normally distributed with a mean of 7.5 pounds. This number is lower than recent years and so researchers are interested in determining what factors are associated with lower birth weights. One researcher decides to look at the age of the mother to determine if younger mothers have babies that are significantly heavier or lighter than average. To study this the researcher collects data from 87 babies who were born to mothers between the ages of 16 and 18. Only one baby was measured per mother. Twins and other multiple births were excluded. The average weight for these babies was 7.3 pounds with a standard deviation of .6 pounds.

Which of the following statements is relevant to the assumption of Normality?

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population
b. only one baby was measured per mother
c. weights of babies are normally distributed in the population
d. the study used a sample that is different than the comparison population and measured weight on a ratio scale

Answers

Answer:

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population

Step-by-step explanation:

The population mean = μ= 7.5

Sample mean = x`= 7.3

Sample standard deviation= s= 0.6

Sample size = 87

Assuming normality we perform z test

z= x`-u/s/√n

z= 7.3-7.5/0.6/√87

z= -3.11

The critical region for 0.05 for two tailed test is z>+1.96 and Z<-1.96

Since the calculated z= -3.11 falls in the critical region Z<-1.96 we conclude that birth rate is lower in the young mothers.

a. the standard deviation for young mothers is not expected to be different than the standard deviation in the population

Only choice a is correct because when n > 30 the population standard deviation and the sample standard deviation are assumed to be normal

Choice b cannot be the correct option because it is already inferred that only one baby was measured per mother.

Choice C cannot be also the best choice because it is already assumed.

Choice d is totally incorrect.

What is the median please help please help

Answers

Answer:

54.5

Step-by-step explanation:

To find the median, first we have to put the numbers in ascending/increasing order.

43, 60, 50, 36, 58, 50, 73, 59, 69, 51 is your set

36, 43, 50, 50, 51, 58, 59, 60, 69, 73 is your set in order.

The median is the middle number of the data set. Your set has an even number of entries, so we have to average the 2 middle numbers, which are 51 and 58.

36, 43, 50, 50,     51, 58,         59, 60, 69, 73

51 + 58 = 109

109/2 = 54.5

Please help!! What is (-4r) (-30) - (-8) when r = 8

Answers

Answer:

968

Step-by-step explanation:

just substitute r for 8 and solve!

(-4r) (-30) - (-8) when r = 8

-4(8)×(-30)+8

-32 × -30 +8

960 + 8

968

Find the domain and range of the given graph?
HELPPPP PLSS​

Answers

Answer:

The domain would be -3≤x≤2 and the range would be -5≤y≤4

Step-by-step explanation:

The domain is where the x values cover, so since on the graph the points range from having -3 as the x value to 2, x would be anything between or equal to these values.

The domain is where the y values cover, so since on the graph the points range from having -5 as the y value to 4, y would be anything between or equal to these values.

What is the rule of 72?​

Answers

Answer:

Brainiest please

Step-by-step explanation:

In finance, the rule of 72, the rule of 70 and the rule of 69.3 are methods for estimating an investment's doubling time. The rule number (e.g., 72) is divided by the interest percentage per period (usually years) to obtain the approximate number of periods required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.

-7(6m+ 2) = -308 showing work

Answers

[tex]\sf\purple{m\:=\:7}[/tex] ✅Step-by-step explanation:

[tex] - 7(6m + 2) = - 308 \\ ➪ \: - 42m - 14 = - 308 \\ ➪ \: - 42m \: = - 308 + 14 \\ ➪ \: m = \frac{ - 294}{ - 42} \\ ➪ \: m \: = 7[/tex]

To verify:-

[tex] - 7(6 \times 7 + 2) = - 308 \\ ➵ - \: 7(42 + 2) = - 308 \\ ➵ \: - 7 \times 44 = - 308 \\ ➵ \: - 308 = - 308[/tex]

L. H. S. = R. H. S.

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

A video store charges $5 per game rental plus $12 to rent the game system. Write an expression for renting the game system and a number of games.

Answers

Answer:

12 + 5X = Y

Step-by-step explanation:

Given that a video store charges $ 5 per game rental plus $ 12 to rent the game system, to write an expression for renting the game system and a number of games the following logical reasoning must be performed:

5 = variable not fixed, depends on the number of games

12 = fixed variable

X = number of games

Y = total value

12 + 5X = Y

Thus, if 5 video games were rented, the equation would operate as follows:

12 + 5x5 = Y

12 + 25 = Y

37 = Y

Sara made enough raspberry jam to fill 3
1
jars of equal
8
size. Then she made strawberry jam. If the amount of the
strawberry jam she made was the amount of raspberry
jam she made, how many jars could she fill with strawberry
jam?

Answers

Answer:

5/8 Jar

Step-by-step explanation:

I took the test...

Rank the following methods of timekeeping from least precise to most precise
A clock with an hour, minute, and second hand

A calendar

A clock with only an hour hand

A clock with an hour and minute hand​

Answers

1- a calendar 2- A clock with only an hour hand 3- A clock with an hour and minute hand 4- A clock with an hour minute and second hand ( 4 being the most precise)

joe paid 14.00 for a board game. this is 70% of the original price. what was the original price?

Answers

Answer:

I'm going to be honest

Step-by-step explanation:

I don't have any clue sorry.

Help me please giving out brainliest!

Answers

Answer:

Your answer is B

Step-by-step explanation:

If you use the division you technically can't use the distributive property, so it could be A. But if you had to use it; I would say the best way to do so it to multiply everything by 1.

help me i need help pls

Answers

Answer:

13

Step-by-step explanation:

4x-9=×+12. x=1 plug it in and u get 13

Guided Practice Type your answer and then click or tap Done. Evaluate -x2 - 4x-4 for x= -3. I VO ]​

Answers

Answer:

[tex]P(x) = x^{2} -4x -4\\\\P(x=-3) = (-3)^2 - (4*-3) -4\\\\P(x=-3) = 9 + 12 -4 =17[/tex]

HELP WILL GIVE BRAINLIST

Answers

Number 1 and number 3 are the ones that are equivalent

If mLM=25 and mLL=25, find mLJKM

50
18
162
117

Answers

Answer:

[tex] \displaystyle m\angle JKM = 50[/tex]

Step-by-step explanation:

remember that,

if a side of a triangle expanded exterior so formed is equal to the sum of the two interior angles

so,

[tex] \displaystyle m\angle JKM = 25 + 25[/tex]

simplify addition:

[tex] \displaystyle m\angle JKM = 50[/tex]

can someone please help sovle this

Answers

Answer:

3

Step-by-step explanation:

[tex]4x * x = 9 * 4[/tex]

[tex]4x^2 = 36[/tex]

[tex]x^2 = 9[/tex]

[tex]x = 3[/tex]

what is 103 more than 1000​

Answers

Answer:

Step-by-step explanation:

         We are looking for a new number which is 1000 more than 103.

We will get the new number by adding 1000 to 103.

We write it down as:

103+1000=1103

And finally the solution for: What number is 1000 more than 103?

is 1103 ans

please mark me as brainliest..

please mark me as brainliest

What is the total surface area of the solid?
9.7 mm
9.7 mm
8 mm
10 mm
11 mm
16 mm

Answers

We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.

Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.

11 x 10 x 2 = 220

Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320

Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.

9.7 x 16 x 2 = 310.4

Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88

Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm

sorry but I don't know, I'm in the 3rd grade and I don't know much about this, I hope this will be useful to you, I just could do it! I'm sorry❤️

Alyana needs to buy a piece of glass to cover the top of a circular table. The table has a diameter of 24 inches. How much glass is needed for the job? [Use pi = 3.14] *

Answers

Answer:

452.16 inches²

Step-by-step explanation:

→ Write circle area formula

π × r²

→ Substitute in the numbers

3.14 × 12²

→ Simplify

452.16 inches²

On average, about 45,000,000 gallons of water flow over the Niagara Falls in 60 seconds. About how much water flows over the Niagara Falls in one second?

Answers

Answer:

750 000

Step-by-step explanation:

45 000 000 ÷ 60 = 750 000 gallons of water per second

The average of 2 3 and what number is 10?
pls help

Answers

i think it’s 5 tbh it’s random

-2x + 7y = 20
x + 7y = 32

Answers

Answer:

(4,4)

Step-by-step explanation:

1) Using substitution: move 7y to the other side by subtraction

x = 32 - 7y

2) substitute in for x in the first equation

-2(32 - 7y) + 7y = 20

3) distribute

-64 + 14y + 7y = 20

4) add like terms and solve for y

21y = 84

y = 4

5) plug in y value of for in one of the eqautions to get x value

-2x + 7(4) = 20

x = 4

Help ur homie out pls

Answers

I'm still doing the rest but number 1 is D

What is coordinates of point C?

Answers

Answer:

(3,6)

Step-by-step explanation:

Using the midpoint segment formula

M(X, Y) = [(ax1+bx2/2, ay1+by2/2)]

Given (-2 -6) and (4,6) divided in the ratio 1:5

X = 1(-2) + 5(4)/1+5

X = -2+20/6

X = 18/6

X = 3

Similarly

Y = 1(-6)+ 5(6)/1+5

Y = -6+30/6

Y = 24/6

Y = 4

Hence the required coordinate of C is (3,6)

Need help anything would help at this point !!!? Extra points

Answers

Answer:

here,radius =2 in

now use formula pie (r)^2 where pie is 3.14

=pie *(r)^2

=3.14*(2in.)^2

=3.14*4in.^2

12.56in.^2

Step-by-step explanation:

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