The distance, D, travelled by a particle is directly proportional to the square of the time, t, taken. When t = 40, D = 30. find a formula for D in terms of t. Calculate the value of D when t = 64​

Answers

Answer 1

Answer:

The formula for D in terms of t is D=0.01875t²

The value of D is 76.8

Step-by-step explanation:

See above for an image

Hope I helped!

The Distance, D, Travelled By A Particle Is Directly Proportional To The Square Of The Time, T, Taken.
Answer 2

After calculating by definition of proportionality, the value of D is 76.8

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The distance, D, travelled by a particle is directly proportional to the square of the time, t.

So, We can defined as;

⇒ D = k × t²

Where, 'k' is constant of proportion.

Here, When t = 40, D = 30,

⇒ D = k × t²

⇒ 30 = k × 40²

⇒ 30 = k × 1600

⇒ k = 30 / 1600

⇒ k = 3/160

So, When t = 64, the value of D is,

⇒ D = 3/160 × 64²

⇒ D = 76.8

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Related Questions

Which ones are correct please help me.

Answers

Answer:

I think it's the third choice because line segments are congruent and not equal. Line segments also have little lines on top of the letters.

Step-by-step explanation:

2 Answers: Choice A and choice C

======================================================

Explanation:

AB = BC refers to the fact that expressions 2x+7 and 4x-3 are equivalent. They represent numbers when we replace x with some number. So after doing that replacement, we have something in the form number = number.

So this is why choice A is one of the answers.

[tex]\overline{AB} \cong \overline{BC}[/tex] says "segment AB is congruent to segment BC". The horizontal lines over the lettering indicates we have a segment. The equal sign with a squiggle over top is the congruence symbol. In geometry, we say two items are congruent if they are the same. You can think of making a clone of the object and then sliding it over. In this case, we've cloned segment AB to form segment BC.

This is why choice C is the other answer.

--------------

Choices B and D are close, but not quite correct. Choice B is missing the segment markers. Choice D is missing the congruence symbol. Congruence and equality are very similar ideas, so often they get mixed up.

What is the slope of the line on the graph?

A. 1/2

B. -1/2

C. 2

D. -2

Answers

Answer:

b

Step-by-step explanation:

what decimal is between 4/5 and 5/6

Answers

Answer: .81 or .82

Step-by-step explanation:  

Daily Temperatures in New York: These are the daily temperatures in New York from Monday to Thursday: Monday: 1 degree Celsius; Tuesday: 2 degrees Celsius; Wednesday: 5 degrees Celsius; Thursday: -1 degrees Celsius. On which day was the temperature the WARMEST?

Answers

Answer:

Wednesday

Step-by-step explanation:

The given daily temperature in New York from Monday to Thursday:

Monday: [tex]1^{\circ}C[/tex]

Tuesday: [tex]2^{\circ}C[/tex]

Wednesday: [tex]5^{\circ}C[/tex]

Thursday: [tex]-1^{\circ}C[/tex]

Now, among the given temperatures,[tex]1^{\circ}C, 2^{\circ}C, 5^{\circ}C,[/tex] and [tex]-1^{\circ}C,[/tex] the highest temperature is [tex]5^{\circ}C[/tex].

As the day having the highest temperature is the warmest day which is Wednesday.

So, on Wednesday the temperature was warmest.

URGENT!!! I REALLY NEED HELP! also its not D I just clicked on it

Answers

Answer:

i think the answer is C. x = {1,3}

Step-by-step explanation:

Answer:

I DON'T 74CKIN KNOW.

jk, pretty sure it's x = 1

Step-by-step explanation:

Is 1.888... an irrational number? (i have a 1 in math :C)

Answers

No, 1.888 is a rational number.

Answer: No, 1.888 is a rational number. In mathematics, the irrational numbers are all the real numbers which are not rational numbers. That is, irrational numbers cannot be expressed as the ratio of two integers. When the ratio of lengths of two line segments is an irrational number, the line segments are also described as being incommensurable, meaning that they share no "measure" in common, that is, there is no length ("the measure"), no matter how short, that could be used to express the lengths of both of the two given segments as integer multiples of itself.

pls help? I need to know the answer asap​

Answers

What’s the question? So you could put point s


Round £432.75
to 2 significant
figure.

Answers

Answer:

= 3.66

Step-by-step explanation:

there you go have a good day

£432.75 to 2 significant figure, is 4.3275*10²  

What is a significant figure?

The term significant figures refers to the number of important single digits (0 through 9 inclusive) in the coefficient of an expression in scientific notation.

Given a term £432.75

Rounding £432.75 to 2 significant figure, we get,

432.75 = 4.3275*10²

Hence, 432.75 to 2 significant figure, is 4.3275*10²

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PLEASEEE HELP!!!
Find value of y!

Answers

Step-by-step explanation:

9x+21=11x-1 (corresponding angle)

-2x=-22

x=11

11x-1+5y-5=180

11*11+5y-6=180

121+5y-6=18

5y+115=180

5y=180-115

5y=65

y=13

Which of the following values are in the range of the function graphed below?
Check all that apply.
A. 2.
B. 1
C. 1/2
D. -1
E. 5

Answers

Answer:

B. 1 and C. 1/2

Step-by-step explanation:

Confirmed

Find three consecutive even integers such that the sum of the smallest integer and twice the second is 12 more than the third

Answers

Answer:

6, 8 , 10

Step-by-step explanation:

smallest = x

medium = x+2

largest = x+4

The smallest integer and twice the second is 12 more than the third:

x + 2(x+2)  = 12+ (x+4)

x + 2x + 4  = x +16

3x  +  4 = x + 16

2x =  12

x = 6

What is 73 divided by 42,895

Answers

Answer:

587.602739726

Step-by-step explanation:

Answer:

73 divided by 42,895=0.00170183005

Step-by-step explanation:

42,895 divided by 73587.602739726

Solve for x
14x = 5(2x – 4) – 12

Answers

The answer is
X = - 8

Answer:

x=3

Step-by-step explanation:

14x= 5(2x-4) - 12

14x= 10x - 20 - 12

14x= 10x -8

24x= 8

x= 3

Find the distance between the two points in simplest radical form.
(-1,9) and (4, -3)

Answers

Answer:

GIVEN BY POINTS :-

( -1, 9) , ( 4 , -3)

Here ,

[tex]\bullet \: \: x _{1} = - 1 \\ \bullet \: \: x _{2} = 4 \\ \bullet \: \: y _{1} = 9 \\ \bullet \: \: y _{2} = - 3 \\[/tex]

Using Distance formula :

[tex]= > \sf d = \sqrt{( {x _{2} - x _{1}) }^{2} + {( {y _{2} - y _{1}) }^{2} } } \\ \\ = > \sf d = \sqrt{ ({ 4 + 1)}^{2} + { ( - 3 - 9)}^{2} } \\ \\ = > \sf d = \sqrt{ {5}^{2} + {( - 12)}^{2} } \\ \\ = > \sf d = \sqrt{25 + 144} \\ \\ = > \sf d = \sqrt{169} \\ \\ = > \boxed{ \sf{ d = 13\:units }}\\ [/tex]

Answer: 13

Step-by-step explanation:

(-1, 9) \text{ and } (4, -3)

(−1,9) and (4,−3)

(x_1,y_1)\text{ and }(x_2,y_2)

(x  

1

,y  

1

) and (x  

2

,y  

2

)

\text{Distance Formula: }\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

Distance Formula:  

(x  

1

−x  

2

)  

2

+(y  

1

−y  

2

)  

2

 

 

\sqrt{(-1-4)^2+(9-(-3))^2}

(−1−4)  

2

+(9−(−3))  

2

 

 

Plug in.

\sqrt{(-1-4)^2+(9+3)^2}

(−1−4)  

2

+(9+3)  

2

 

 

Negative of a negative is a positive.

\sqrt{(-5)^2+(12)^2}

(−5)  

2

+(12)  

2

 

 

Add/Subtract

\sqrt{25+144}

25+144

 

Square

\sqrt{169}

169

 

Perfect Square

13

13

Final Answer.

The highest point in Argentina is 6,960 meters above sea level. The lowest point is 105 meters below sea level. What is the difference between the highest and lowest points?

Answers

Answer:

7,065 meters.

Step-by-step explanation:

The problem is asking for "the difference" between two points. "The difference" means you're subtracting. The second point says it is below sea level, though. That makes it a negative number. Thus:

[tex]6960-(-105)=x[/tex]

When subtracting by a negative number, think of it as addition, since the negative cancels out the subtraction sign. This turns it into:

[tex]6960+105=7065[/tex]

There is a 7,065 meter difference between the two points.

The table represents the total miles traveled, y, after a certain number of hours, x. A 2-column table with 5 rows. Column 1 is labeled hours: x with entries 1.5, 3.0, 5.0, 5.5, 7.0. Column 2 is labeled Miles: y with entries 60, 120, 200, 220, 280. Which linear equation represents the scenario? y = 7x + 280 y = 40x + 60 y = 40x y = 3x + 120

Answers

Answer:

y=40x

Step-by-step explanation:

got it right lol

Answer:

y = 40x

Step-by-step explanation: I took the test on edge

Question
A stationery store sells packages of two different-sized square stickers. The
side length of the smaller sticker, S(x), is modeled by the function
S(x) = { Væ+3, where x is the area of the larger sticker in square inches.
Which graph shows S(x)?

Answers

Answer:the answer is b

Step-by-step explanation:

help
thanks!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The answer is A because that information they gave to you

5(2x+3)+2(4x –1)
I need help

Answers

This is what I did. The overall answer is 18x+13

Simplify the following expression:
-12 - 9+ 12 + p

Answers

Answer:

p - 9

Step-by-step explanation:

Here are three different recipes for Orangey-Pineapple Juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.
Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice.
Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice.

Which two recipes will taste the same, and which one will taste different?

Answers

Answer:

Recipe 1 and 2 will taste the same .

Step-by-step explanation:

they will taste same because they have equal ratios

1.4:6=2:3

2.6:9=2:3

3.9:12=3:4

2:3 =2:3

recipe 1 and 2 are same.

Select all that are equivalent to 43.


12


64


4 × 3


4 × 4 × 4


(4 × 4) × 4


3 × 3 × 3 × 3

Answers

Answer:

6

Step-by-step explanation:4/9

Answer:

43 Is a prime number

Does her equation make sense? If so, explain why her
equation must be true. If it is not correct, determine what is incorrect and
rewrite the equation.

Answers

Yes , the equation make sense because right angle is 90 degree. Also two angles make up 90 degree

Select the correct answer.
An archeologist discovered two artifacts buried beneath the ground. She found the first artifact at an elevation of meters and the second at an elevation of meters. What is the distance between these two elevations?
A.
meters
B.
meters
C.
meters
D.
meters

Answers

The answer is gonna be: B

Answer:

answer is

A

Step-by-step explanation:

Martina opens a savings account with an initial deposit and makes no other deposits or withdrawals. She earns interest on her initial deposit. The total amount of money in her savings account at the end of each year is represented by the sequence shown.
100, 105, 110.25, ...
Which recursive formula can be used to determine the total amount of money earned in any year based on the amount earned in the previous year?

A. f(n + 1) = f(n) + 5
B. f(n + 1) = 5f(n)
C. f(n + 1) = 1.05f(n)
D. f(n + 1) = 0.05f(n)

Answers

1.05 should be it

Step-by-step explanation:

In a recursive formula, each term of the sequence is found by using the previous term.  In this case, the sequence is geometric because we are multiplying each term by the same constant, called a common ratio.

To find this common ratio, we find the percent of change between terms.  We do this by using the formula

% change = (amount of change)/(original amount)

The amount of change between the first two terms is 105-100 = 5.  This makes the percent change

5/100 = 0.05

The amount of change between the second two terms is 110.25-105 = 5.25.  This makes the percent change

5.25/105 = 0.05

However, the common ratio in the sequence is not 0.05.  This is because multiplying by this decimal would make the terms decrease instead of increasing.  In this case, we are taking 100% of the number and adding an extra 5% (0.05 = 5%); this makes our common ratio 105% = 1.05.

This gives us the recursive formula

Answer:

the correct answer is C. f(n + 1) = 1.05f(n)

Step-by-step explanation:

just got it right 2020 edg

4.
Convert the following times into decimal time on the 24 hour clock:
1:30 PM=
09:12 AM=
11:54 PM=
4:15 PM=

Answers

Answer:

1:30pm = 13:30pm

09:12am = 09:12am

11:45 pm = 23:54pm

4:15pm = 16:15pm

Step-by-step explanation:

I'm in military school :)

can somebody please help!!! asap!! thank you, anything is appreciated!!

Answers

Answer:

I believe its true, Im reallly sorry if its wrong

Step-by-step explanation:

True it is a factor

Yo welcome

Help please if you can thanks

Answers

Answer:

The answer is C

Step-by-step explanation:

In 1 they are talking about future tense: What will happen

In 2 they are talking about present tense: What is happening

So they said what they are going do to and now they are doing it

Hope this helped:)

what value of x makes the equation true 2( x + 10) =4( 2x - 1)

Answers

Answer:

6

Step-by-step explanation:

Step-by-step explanation:

Answer:-

[tex]\bf{2( x + 10) =4( 2x - 1)}[/tex]

We need the value of x. So, we will break the brackets first.

[tex]\bf{2( x + 10) =4( 2x - 1)}[/tex]

[tex]\bf{2x + 20 = 8x - 4}[/tex] [ Distributive Property]

[tex]\bf{2x -8x = -20 - 4}[/tex] [ Brought x to one side and signs interchange]

[tex]\bf{-6x = -24}[/tex]

[tex]\bf{x = \dfrac{24}{6}}[/tex]

[tex]\bf{x = 4}[/tex]

Hope it helps :)

should education be left at state control or brought to national control? and why?

Answers

state because each state has its own problems. like with climates and etc. if it was national we would all suffer from one’s benefit rather than are own
Other Questions
Upon whose ideas is our Bill of Rights based? A paragraph can give _____ about the topic.A factsB opinionsC both A and BD neither A nor B A factory makes memory cards in batches of 4000. For testing purposes, 150 memory cards are selected at random from each batch. Of this sample, 9 memory cards are found to be broken. About how many memory cards in the batch are likely to be broken in all? Which situation can be modeled by the equation y = mx + b? Big Foot produces sports socks. The company has fixed expenses of $80,000 and variable expenses of $0.80 per package. Each package sells for $1.60. The number of packages Big Foot needed to sell to earn a $24,000 operating income was 130,000 packages. If Big Foot can decrease its variable costs to $0.70 per package by increasing its fixed costs to $95,000, how many packages will it have to sell to generate $24,000 of operating income? Is this more or less than before? Why? Begin by identifying the formula to compute the sales in units at various levels of operating income using the contribution margin approach. ( Fixed expenses + Operating income ) Contribution margin per unit = Sales in units (Round your answer up to the nearest whole unit.) Big Foot will have to sell packages to generate $24,000 of operating income. what might rural people have had more trouble accepting the one-child policy than city people? PLEASE HELP :( What organelles found in plant cells, but not in animal cells, would you expect to find more of in the plant's leaf cells and not find very many if anyat all in the plant's root cells?Explain why there would be more of these organelles. Refer to the NASA article "Responding to Climate Change."How does the text make a connection between greenhouse gases and climate change?Agriculture uses greenhouse gases, helping to limit climate change.Atmospheric greenhouse gases cause the earth to warm up, causing climate change.Extreme weather events cause greenhouse gases to build up, which results in climate change.Greenhouse gases cause the earth to cool down, which helps to limit climate change. Refer to Passage 1 to answer this question. How does the author feel about the "schemes" of others who have tried to address the problems caused by poor children in Ireland? A.) He thinks these ideas are hilarious. B.) He respects and admires these works. C.) He believes these plans have many mistakes. D.) He fears that these schemes place children in danger. 6How has human activity negatively affected sea turtle populations? The ____ were victorious in the French and Indian war ( im dumb ) A. French B indianC British What are the properties used to solve 4(x+3)=20 If you have 3,000,456 cars and some one stole 20,113 what is the answer Based on the gender of the noun, choose the correct definite article._______educacin Find the slope of the line passing through the points (2,5) and (8,-4). Which of the following are solutions to the equation. 6x^2-2x+36=5x^2+10x PLEASE HELPa.18 b.-3 c.4 d.6 e.-4 f.-6 pleas can y'all help me "Yuck!" This statement represents which of the following functions of language? (2 points)Group of answer choicesPhaticConativeEmotivePoetic I need the answers ASAP show work pleas 3. Tyrone wants to determine how fast a bowling ball travels when it is bowled. He uses a stopwatch torecord, in seconds, the time it takes for the bowling ball to reach the pins. Which unit would be mostappropriate to measure the length of the bowling lane?A. metersB. kilometersC. millimetersD. centimeters