A particle moves along a line so that its position at any time t > 0 is given by the function s(t) = - t3 + 7t2 - 14t +8 where s is measured in meters and t is measured in seconds. Find the displacement during the first 5 seconds.

Answer:

6/11 divided by 2 2/3 (=9/44)

2/7 divided by 4/5 (=5/14 or 15/42 scaled up)

1 6/7 divided by 3 (= 13/21 or 26/42 scaled up)

3/10 divided by 1/8 (=2 2/5)

Step-by-step explanation:

You cannot divide a fraction by a fraction. Instead, multiply by the reciprocal ( flip it)

2/7 divided by 4/5= 2/7 x 5/4

Multiply straight across the top, 2x5= 10

10 is the numerator

Now multiply straight across the bottom.

7x4= 28

28 is the denominator.

10/28 is the answer to this problem, however it can be simplified. Both 10 and 28 are divisible by 2. This simplifies to 5/14.

For mixed numbers, you first have to make them improper fractions.

Ex: 2 2/3

Take the denominator (3) multiply it by the whole number (2) and add the numerator (2)

3x2=6 (now add the remaining 2 from the numerator) 6+2= 8. 8 is your new numerator and you will keep the existing denominator of 3 making the improper fraction 8/3.

Answer:

proportional READ BELOW

Step-by-step explanation:

so its going by multiplying by 8's bc of the -10

so i think it is

id k tho  havent done negatives

please dont sue me if im wrong

Answer:

Step-by-step explanation:

No of saves in 3 games = 12

Rate of saves per game = 12 ÷ 3 = 4

Answer:

[tex]\displaystyle x = 24[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{4}{5} = \frac{x}{30}[/tex]

Step 2: Solve for x

Answer:

Volume of the counter = Length × Width × Height

                                      = 19 1/2 × 8 3/4 × 2

                                      = 341 1/4 cubic metres

Answer:

21%

Step-by-step explanation:

Another 10% increased means it becomes 110*110/100 = 121. The first 10% increase means the second 10% increase will be an actual 11% increase from the original, so it will be a total of 21%.

Answer:

Step-by-step explanation:

Because the first 10% increase is calculated as 10% of what you started with. The second 10% is 10% of what you started with plus 10% of the increase caused by the original 10% increase.

Let's do the maths…

Let's start with 100 to make things easy.

We know that 10% of 100 is 10.

We know that 20% of 100 is 20.

So if we increase 100 by 10% we get 110.

If we increase 100 by 20% we get 120.

Now lets do the 10% plus 10%.

From the first 10% increase we were left with 110.

Now if we take 10% of the 110 we have 11.

Add that to the 110 and we get 121.

This is why people are surprised how quick a lone can rise if we don't pay it off. We are paying interest on the basic sum plus interest on the interest, then interest on the interest on the interest.

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Answer:

A. 0

Step-by-step explanation:

2-2/4-(-5)=0/9

Answer:

Answer: Undefined

Step-by-step explanation:

Its undefined because the line is vertical. This is also why the answer isnt zero.

Hope this helps (:

Answer:

10x-20 uhhh yeah that's the answer

Answer:

72

Step-by-step explanation:

Formula: A= 3.14r^2

4069.44^2 = 3.14r^2

(divide both sides by 3.14)

1296=r^2

(find sqr root of 1296)

36=r

to find the diameter with the radius, multiply radius by 2... 36*2= 72

The diameter of a pond with an area of 4069.44^2 is 72!

Hope this helps anyone :)

Step-by-step explanation:

0.9(17) -2.7(3) =

15.3-8.1

=7.2

Answer:

true.

A chord that passes through the center of a circle is called a diameter and is the longest chord.

Step-by-step explanation:

A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.

i hope this helps you.      :)

Answer:

He should use the computer less.

Step-by-step explanation:

It is bad for mathews eyes.

Answer:

Every straight line can be represented by an equation: y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

Step-by-step explanation:

hope this helps.

:)

Answer:

90 total teachers

Step-by-step explanation:

The total number of teachers at the school is 90 whereas there are  36 female and 54 male teachers.

What information do we have?

Probability teacher is female = 3/5

Number of male teachers = 36

Probability teacher is male = 1 - (3/5)

Probability teacher is male = 2/5

Total number of teacher = 90 teachers

the total number of teachers in the school is 90 teachers.

Find out more information about 'Probability'.

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Answer:

1/6

Step-by-step explanation:

if there is 1/3 bag of candy, 1/3 of 1/3 is 1/9

Answer:

its 1/9

Step-by-step explanation:

Answer:

Step-by-step explanation:

Complete Question:

The amount of money, y, pizzeria W makes by selling x pizzas can be modeled by the equation y = 15x. The relationship of the amount of money pizzeria L makes is shown in the following graph.

Which pizzeria makes more money per pizza?

A. Pizzeria L makes more money per pizza.

B. Pizzeria W makes more money per pizza.

C. They make the same amount per pizza.

Answer:

B. Pizzeria W makes more money per pizza.

Step-by-step explanation:

The proportional relationship showing how amount of money made(y) is related to the amount of pizzas sold (x) for pizzeria W is given by the equation y = 15x.

the constant of proportionality/unit rate, k = 15.

This represents the amount in dollars, made per pizza.

So, Pizzeria W makes $15 per pizza.

For Pizzeria L, using any point on the line, say, (2, 24),

k = y/x = 24/2 = 12.

This represents the unit rate, which is the amount Pizzeria L makes per pizza.

Thus, Pizzeria L makes $12 per pizza.

We can conclude that, Pizzeria W makes more money per pizza.

Answer:

L

Step-by-step explanation:

The sequence that fulfills all the conditions is 4% of 250 = 10.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

From the table and a bit of thinking, we can construct a sequence that has whole value and percentage value as integers.

After trying with different sequences and by hit and trial we found a sequence that is,

4% of 250 = 10 which fills all the conditions.

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Answer:

3. reflective property

4.AE=CE

5.<AED=<CED 5.SSS congruence

Answer:

Step-by-step explanation:

Answe is 0.74

Answer:

cos⁡L=adjacenthypotenuse=817≈0.4706≈0.47cosL=hypotenuseadjacent​=178​≈0.4706≈0.47

Step-by-step explanation:

KLM15817(opposite of ∠L)(adj. to ∠L)(hypotenuse)Find cos⁡LFind cosLSOH CAH TOASOH CAH TOA

Answer:

u+133°=180

u=180-133

u=47°

Answer:

U = 47

T = 86

Step-by-step explanation:

133 + U = 180 ( straight line)

or, U = 180 - 133

or, U = 47

Being isosceles triangle

47 + 47 +T = 180

or, 94 + T = 180

or, T = 180 - 94

or, T = 86

hope it will help you

Answer:

x=2, y=-2

Step-by-step explanation:

The expression 42+24n in factor form is  6(7+4n).

An expression is combination of variables, numbers and operators.

The given expression is 42+24n

Forty two plus twenty four n.

We need to factor out the expression.

TO do this we have to find the greatest common factor of 42 and 24

The factor of 42 are 1, 2, 3, 6, 7, 14, 21 and 42

The factors of 24 are  1, 2, 3, 4, 6, 8, 12 and 24.

The common factors are 1,2,3, and 6.

The greatest common factor is 6.

S0 the expression in factor form is  6(7+4n)

Hence, the expression 42+24n in factor form is  6(7+4n).

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Answer:

Carter's bedroom

Step-by-step explanation:

Carley's bedroom :12.3 x 6.9 = 84.87 sq feet

Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet

Answer:

Step-by-step explanation:

Carley's bedroom :12.3 x 6.9 = 84.87 sq feet

Carter's bedroom : 10.4 x 8.2 = 85.28 sq feet

Answer:

(-2,1)

Step-by-step explanation:

Substitute the value of y (x+3) from one equation into the second equation (2x+5)

X+3 = 2x + 5

add -2x to both sides

-x+3=5

add -3 to both sides

-x=2

x=-2

substitute -2 for x in either equation to find y.

y=-2+3

y=1

Check your answer by substituting x and y into either equat to make sure it equals.

y=x+3

1=-2+3

1=1

or

y=2x+5

1=2(-2)+5

1=-4+5

1=1

From the given frequency table,

Frequency represents the number of people who made the calls.

Total number of people who made the calls = 16 + 11 + 5 + 3 + 1

                                                                          = 36

Number of people who made less than 13 calls = 16 + 11 + 5

                                                                                 = 32

Number of people who made at least 9 calls = 5 + 3 + 1

                                                                            = 9

Percentage of people who made at least 9 calls = [tex]\frac{\text{Number of people who made at least 9 calls}}{\text{Number of people who made the calls}}\times 100[/tex]

= [tex]\frac{9}{36}\times 100[/tex]

= 25%

Difference in the number of people who made the calls between 5-8 calls than 13-16 calls = 11 - 3 = 8

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Answer:

0.64π rad

Step-by-step explanation:

The formula for calculating the length of an arc is expressed as;

length of an arc = theta/360 * 2πr

r is the radius = 13 feet

arc length = 26feet

Substitute

26 = theta/360 * 2(3.14)(13)

26 = 81.64 theta/360

81.64 theta = 26 * 360

81.64 theta = 9360

theta = 9360/81.64

theta = 114.64

Hence the radian measure is 114.64/180 π = 0.64π rad