A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s. find its displacement during this time interval. answer in units of m\

Answer:

a) 18

b)248

c) 58

Step-by-step explanation:

The formula is:

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n-1)d

[tex]a_{n}[/tex]  Is the number at the n term

[tex]a_{1}[/tex] Is the first number in the sequence

n Is the number for the term

d is the common difference.  How much is added each time in the sequence.  In this case, 2.5

Put in the numbers that you know and solve for the unknown.

A:

[tex]a_{8}[/tex] = 0.5 + (8 -1)(2.5)

[tex]a_{8}[/tex]  = 0.5 +(7)(2.5)

[tex]a_{8}[/tex] = 0.5 + 17.5

[tex]a_{8}[/tex] = 18

B:

We follow the same pattern, but we are now looking for [tex]a_{100}[/tex].

[tex]a_{100}[/tex] = 0.5 + (100-1)(2.5)

[tex]a_{100}[/tex] = 0.5 + 247.5

[tex]a_{100}[/tex] = 248

C:

This time we know the value of the number in the sequence, we do not know which term it is.

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d  Put in what we know

148 = 0.5 + (n -1)2.5  Distribute the 2.5

148 = 0.5 + 2.5n - 2.5  Combine like terms

148 = 3 + 2.5n  Subtract 3 from both sides of the equation

145 = 2.5n  Divide both sides by 2.5

58 = n

Answer: A

Step-by-step explanation:

Answer:

[tex]e=\frac{-5e-90}{216}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5}d+\frac{4}{9}e=-2d+\frac{7}{18}e-1[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7}{18}e-1 < - Muiltiply[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}=-2d+\frac{7e}{18}- < - Muiltiply Again\\[/tex]
[tex]\frac{2}{5}d+\frac{4e}{9}-\frac{4e}{9}=-2d+\frac{7e}{18}-1-\frac{4e}{9} < - Subtract BothSides[/tex]
[tex]\frac{2}{5}d=-2d-\frac{e}{18}-1 < - Simplify[/tex]
[tex]\frac{2}{5}d+2d=-2d-\frac{e}{18}-1+2d < - AddToBothSides[/tex]
[tex]\frac{12}{5}d=-\frac{e}{18}-1 < - Simplify[/tex][tex]\frac{12d}{12}=-\frac{\frac{5e}{18}}{12}-\frac{5}{12} < - DivideBothSides[/tex]
[tex]e=\frac{-5e-90}{216}[/tex]

Answer:

x = 1/2 or 0.5, y = 1

Step-by-step explanation:

it just means a system of equations.

-4x + 3y = 1

6x - y = 2

let's multiply the second equation by 3 and add both resulting equations :

-4x + 3y = 1

18x - 3y = 6

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

14x 0 = 7

14x = 7

x = 7/14 = 1/2 = 0.5

6x - y = 2

6×1/2 - y = 2

3 - y = 2

-y = -1

y = 1

Answer:

D.

Step-by-step explanation:

The inequality graphed matches the graph on the answer choice D.

Hope this helps <3

Yes, it is not possible to have an absolute maximum or absolute minimum.

Here,

We are examining a function over an interval ( a , b ) , for a and b finite,

We have to find,  is it possible not to have an absolute maximum or absolute minimum.

What theorem indicates the existence of absolute maxima or absolute minima of a function?

If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].

Now,

The function is define over an interval (a, b).

Hence, the function is define on open interval.

So, it is not possible to have an absolute maximum or absolute minimum.

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Answer: [tex]\frac{3-x}{2}[/tex]-4

Step-by-step explanation:

(3-x)/2 -4=[tex]\frac{3-x}{2}[/tex]-4

Answer:

6 1/3 cups are in 2 cups

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 3/3 = 1 cup

+

1/3 + 1/3 + 1/3 = 3/3 = 1 cup

1 cup + 1 cup = 2 cups

Therefore it is 6 1/3 cups.

Using algebraic expressions and equations to solve this problem, a 19- inch piece of steel is cut into three pieces measuring 2 inches, 4 inches, and 13 inches.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "=".

If the second piece is twice as long as the first piece, we can write this as an algebraic expression "2x" where x is the length of the first piece.

If the third piece is three inches more than five times the length of the first piece, we can write this as an algebraic expression "3 + 5x" where x is the length of the first piece.

If the three pieces were cut from a single piece of steel 19-inches long, we can write the equation for the sum using the algebraic expressions.

let x = length of first piece

2x = length of second piece

3 + 5x = length of third piece

x + 2x + 3 + 5x = 19 inches

Solving for x,

8x = 19 -3

8x = 16

x = 2 inches

length of first piece = 2 inches

Substitute the value of x in the expressions for the second and third piece.

length of second piece = 2x

length of second piece = 2(2)

length of second piece = 4 inches

length of third piece = 3 + 5x

length of third piece = 3 + 5(2)

length of third piece = 3 + 10

length of third piece = 13 inches

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a) Shelly Lemony's down payment is $24,000.

b) The loan amount is $96,000.

c) The monthly payment is $8,350.89.

d) The finance charge is $4,210.68.

The down payment represents the initial up-front partial payment for the purchase of the equipment on loan.

The down payment reduces the cost of the equipment to the loan amount.  Finance companies demand a down payment to ascertain the buyer's willingness and ability to proceed with the loan arrangement.

It is a sign of commitment to meet the loan contract obligations.

Monthly Pay:   $8,350.89

Total Loan Amount = $96,000.00

Upfront Payment $24,000.00

Equipment loan = $120,000

Number of periods = 12 months

APR = 8%

Total of 12 Loan Payments = $100,210.68

Total Loan Interest = $4,210.68

Total Cost (price, interest, tax, fees) = $124,210.68

Thus, Shelly will make a down payment of $24,000 or 20% of the equipment loan.

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Multiplication is the opposite of division. When we multiply 4.15*3 we get 13.53.

Multiplication is one of the four basic arithmetic operations, alongside the addition, subtraction, and division. In math, multiply means the repeated addition of groups of the equal sizes.

The symbols for multiplication are cross (x), asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).

Commutative Property: According to this property, when we multiply two numbers, the result will not change depending on the order.

Associative property: It states that if we multiply three or more numbers consecutively, the order is irrelevant.

4.51

X   3

-----------

13.53

-----------

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The ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

For given question,

We have been given the unit conversion.

A traditional unit of length in Japan is the ken

and 1 ken = 1.97 m

We need to find the the ratios of (a) square kens to square meters.

First we find the square of 1 ken.

⇒ 1 square kens = (1.97 m)²

⇒ 1 square kens = 1.97 × 1.97 m²

⇒ 1 square kens = 3.88 m²                  ..................(1)

And 1 square meters = 1 m²                 ................. (2)

Now we take the ratio of square kens to square meters.

From (1) and (2),

⇒ 1 ken² / 1 m² = 3.88 / 1

⇒ 1 ken² / 1 m² = 3.88

Therefore, the ratios of (a) square kens to square meters (1 ken² / 1 m²) is 3.88

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Using the fact that the two angles are complementary, the we will find that the measures are:

∠1 = = 14°

∠2  = 76°

By looking at the diagram, we can see that the sum of the measures of angles 1 and 2 must be equal to 90° (this means that the two angles are complementary).

We also can see that:

∠1 = x - 5

∠2 = 4x

Then we can solve the linear relation:

(x - 5) + 4x = 90

x - 5 + 4x = 90

5x - 5 = 90

5x = 90 + 5 = 95

x = 95/5 = 19

Then the measures of the two angles are:

∠1 = (x - 5)° = (19 - 5)° = 14°

∠2 = 4x = 4*19° = 76°

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Here is your Answer

step by step explanation

Hit thanks, if it's help full

Answer:

It would still be 1408

Step-by-step explanation:

There are no decimal points to round to the nearest hundreth

Answer:

1408.00

Step-by-step explanation:

1408.00    ==>the underlined digit which is 1 digit away from the decimal is the hundredth digit.

Answer:

-1, 2

Step-by-step explanation:

Plug the "x" on the top row into the "x" on the equation.

y = 3(0) - 1 = -1

y = 3(1) - 1 = 2

For the given vertical angles that is angle A = (4x-8) and angle B=(3x+18) the value of x = 26

We have been given that angle A and angle B are both vertical angles. Therefore both the angles will be equal as vertical angles are equal.

Thus,   angle A = angle B

Now we will put the value of the respective angles and solve for x, we will get,

       angle A = angle B

      (4x-8)° = (3x+18)°

       4x – 3x = 18 + 8

            x = 26

hence the value of x = 26

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Number of  train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.

As given,

Cost of standard train ticket = 3 per ride

Price of frequent rider pass= 18.75 each month

Cost of ticket using rider pass = 2.25 per ride

let x be the number of rides

Equation:

18.75 + 2.25x < 3x

⇒ 0.75x > 18.75

⇒ x > 25

Therefore, number of  train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.

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Answer:

The answer is Option C

Answer:

I think the answer would be C

Step-by-step explanation:

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

No, The given relation isn't a function.

[ For a relation to be a function, every value that lies in the domain ( set A ) should have only one corresponding value in its Range ( set B ) but here, -1 has two corresponding values that are : (-1) and (2) ]

Therefore, conclusion can be made that the given relation isn't a function.

Answer:

Not a function.

Step-by-step explanation:

Functions

A function is a special type of relation where each input (x-value) has a single output (y-value).

The given function is not a function as the input value of x = -1 has multiple output values of y = 2 and y = -1.

∠24°

What is an inscribed angle in a circle?

Inscribed angles are angles whose vertices are on a circle and that intersect an arc on the circle. The measure of an inscribed angle is half of the measure of the intercepted arc and half the measure of the central angle intersecting the same arc.

given that intercepted arc = ∠48°

The intercepted arc is the arc that is inside the inscribed angle and whose endpoints are on the angle.

If the intercepted arc is twice the size of the inscribed angle, then the inscribed angle is half the size of the intercepted arc. So if the intercepted arc is 48 degrees, the inscribed angle is 48 / 2 = 24 degrees.

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Answer:

I times the 12 by 5 and divided by 2 and subtract by 12

I get 18 and I thought it is 18

Answer:

Step-by-step explanation:

If a fair dice is rolled 6 times, 2/6 times the number would be greater than 4

If rolled 12 times, then 4/12 times the number would be greater than 4

4/12 = 1/3

Answer:

y=2x+5

y=-1.5x+9

3y=-2x+10

Step-by-step explanation:

2x+y=5

y=2x+5

9-y=1.5x

-y=1.5-9

y=-1.5x-9

2x=-3y+10

3y=-2x+10

Answer:

x=3

Step-by-step explanation:

or,x-2=1

or,x=2+1

or,x=3

Answer:

Step-by-step explanation:

9990000 are 7 digit phone number combinations are possible.

what is permutation and combination?

Find every 7-digit phone number combination that exists first.

Given that the digit can be repeated, a total of 107 combinations are available.

The next step is to identify all conceivable combination of seven-digit numbers that begin with "911."

since it begins with "911" Therefore, there are just 4 digits left. 104 combinations are thus feasible in total.

The total number of potential combinations that begin with "911" is then subtracted.

We finally get

10⁷  - 10⁴

= ( 10³ - 1 ) ×  10⁴

= 999 × 10⁴

= 9990000

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Step-by-step explanation: See attached step by step

Answer:

No they are not 'like' terms

Step-by-step explanation:

8x  and   2x    WOULD be 'like' terms

8x   and 2x^2    are not

8x and 2x^3    are not either

Answer:42

Step-by-step explanation:

Hayfa dose 336 jumping jacks in 8 mins so you divide 336 by 8 and that equals 42

Answer:

42 jumping jacks

Step-by-step explanation:

To find how many Hayfa does in a minute divide 336 by 8

➟ 336/8

➟ 42

∴ Hayfa can do 42 jumping jacks in a minute