Find the first 5 terms of the following sequence. For the first term let a_1=1. Round your answer to the nearest hundredth.a_n= \frac{2^n}{n^2} 1st term = Answer2nd term = Answer3rd term = Answer4th term = Answer5th term = Answer

The pair of triangles shown are similar because the sides are proportional and corresponding angles are congruent.

Answer:

Y=-1/4x+-6

Step-by-step explanation:

convert the line to slope intercept form

x is the slope and the last thing is the y intercept

Perimeter = 36 units

width = x

length = 4x - 2

Equation of perimeter = 2width + 2length

Substitution

36 = 2(x) + 2(4x - 2)

Expanding

36 = 2x + 8x - 4

36 = 10x - 4

36 + 4 = 10x

40 = 10x

x = 40/10

x = 4

Given:

There are 6 roses in a vase of 14 flowers.

Required:

To find the ratio of all flowers in the vase to daisies.

Explanation:

The total number of daisies in the vase are

So the ratio of all flowers in the vase to daisies is,

Final Answer:

A rational number can be represented by dividing two integers.

So, it can be represented as a ratio of 2 integers.

-7 = -7/1

-7 is a rational number

The greatest number of plates he can make to share is 6.

From the information, Gabe has just moved to a new town and wants to share plates of baked goods with his neighbors and he has 16 cookies and 24 brownies to share.

It should be noted that this illustrates that we have to find the highest common factor for 16 and 24.

This will be:

18 = 2, 3, 6, 9 and 18.

24 = 2, 3, 4, 6, 8, 12 and 24

The highest common factor is 6.

Therefore, the number will be 6 plates.

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Answer:

The image is given below as

From the image above, we can deduce that

From the image also, we will have that

Hence,

The value of x= 64°

The value of y = 116°

Answer:

7,290,000.answer

Step-by-step explanation:

1 km= 100000 m

1 hour = 60 minute

8100 km = 810000 m

9 hour=540 minute

60/540.00 cancel

6/54 will be than cut 6×9=54

SO,multiply 810000×9 = 7,290,000

Answer:

The answer is 7,290,00

Step-by-step explanation:

1 km= 100000 m

1 hour = 60 min

8100 km = 810000 m

9 hour=540 min

60/540.00 cancel

6/54 will be than cut 6×9=54

so ,multiply 810000×9 = 7,290,000

The value of the variable x associated to the triangle is equal to 6.

Triangles are figures with three sides and three internal angles. According to Euclidean geometry, the sum of the measures of the internal angles is equal to 180° and we must solve the following equation for x:

(8 · x - 18) + 40 + 110 = 180

(8 · x - 18) + 150 = 180

(8 · x - 18) = 30

8 · x = 48

x = 6

The triangle has internal angles of 30°, 40° and 110° and the value of variable x is 6.

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The formula for the confidence interval is;

Where:

Given:

The mean is 25.4, the sample size n is 89, the standard deviation s is 2.4.

a. For the 95% confidence interval, the z-score for a 95% interval is 1.96.

Therefore, the 95% confidence interval is;

Answer: (24.90, 25.90)

b. For the 90% confidence interval, the z-score for a 90% interval is 1.645.

Therefore, the 90% confidence interval is;

Answer: (24.98, 25.82)

c. For the 99% confidence interval, the z-score for a 99% interval is 2.576.

Therefore, the 99% confidence interval is;

Answer: (24.74, 26.06)

Answer:

y=4/3x+17/3

Step-by-step explanation:

Perpendicular lines have reciprocal negative slopes, find the slope of the new line:

-3/4 --> m = 4/3

Write line in point slope form:

y-3 = 4/3(x+2)

Distribute:

y-3=4/3x+8/3

Simplify:

y=4/3x+17/3

Answer:

mi cola es grande

Step-by-step explanation:

uhh

Molly gave away 90 trading cards out of 250 trading cards to her friend Carol.

Initially molly had 250 cards.

She gave away n trading cards to her friend.

Now molly has (250 - n) trading cards.

Initially Marcus had 4430 trading cards.

The number of cards that Marcus gave away is is three times of molly.

Cards gave away by Marcus = 3n

Now, Marcus is left out with (430 - 3n) trading cards/

After giving away the cards,

Molly and Marcus had same number of trading cards.

So, we can write,

250-n = 430-3n

Now, we have a linear relation between the number of cards given away and the remaining cards,

Further solving,

2n = 180

n = 90.

So, Molly gave away 90 cards.

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Answer:

  x = -11

Step-by-step explanation:

You want to know the value of x that correctly solves the equation 3.2x -5 = -40.2.

This 2-step linear equation is solved in the usual way:

Step 1: isolate the variable term

  3.2x -5 +5 = -40.2 +5 . . . . . . . . . add 5 to both sides

  3.2x = -35.2 . . . . . . . . . . . . . simplify

Step 2: isolate the variable

  3.2x/3.2 = -35.2/3.2 . . . . . . . . . . divide both sides by the coefficient of x

  x = -11 . . . . . . . . . . . . . . . . . . simplify

Result of matrix multiplication [tex]\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] \times \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] = \left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right] [/tex].

A matrix is a series of numbers forming a square or rectangle arranged in rows and columns enclosed in square brackets [ ] or regular brackets ( ).

Solution:

[tex]\left[\begin{array}{ccc} - 1&2&0\\3&2&4\\ - 5& - 1&6\end{array}\right] \times \left[ \begin{array}{cc} 2& - 3 \\ 7& - 1 \\ 1&2 \end{array} \right] [/tex]

[tex] \left[ \begin{array}{cc} - 1 \times 2 + 2 \times 7 + 0 \times 1 & - 1 \times ( - 3) + 2 \times ( - 1) + 0 \times 2 \\3 \times 2 + ( - 2) \times 7 + 4 \times 1&3 \times ( - 3) + ( - 2) \times ( - 1) + 4 \times 2\\ - 5 \times 2 + ( - 1) \times 7 + 6 \times 1&( - 5) \times ( - 3) + ( - 1) \times ( - 1) + 6 \times 2 \end{array}\right ][/tex]

[tex]\left[\begin{array}{ccc} 12&1\\ - 4 &1\\ - 11&28\end{array}\right ][/tex]

The probability of having an even or a number greater than 9 is 2/3.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. The more likely the event is to happen, the closer the probability value would be to 1.

The sample space of two 6-sided dice would be 36

Of this 36, there would be 18 which would have an even sum.

There would be 6 with a sum greater than 9.

The probability of having an even or a number greater than 9 = (18/36) + (6/36) = 24 / 36 = 2/3

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Answer:

  5/9

Step-by-step explanation:

You want the probability that a roll of 2 dice will produce a sum that is even or greater than 9.

Half the numbers on each die are even. Their sum will be even when the dice show ...

  even + even . . . . p = (1/2)(1/2) = 1/4

  odd + odd . . . . . . p = (1/2)(1/2) = 1/4

So, the 36 possible outcomes will produce an even sum (1/4) +(1/4) = 1/2 of the time. That is, there are 1/2(36) = 18 outcomes with an even sum.

The sums that are greater than 9 are 10, 11, 12. Of these, 10 and 12 are outcomes that are even, so are already counted.

The sum 11 can be made two ways: 6 +5 or 5 +6.

So, "or greater than 9" adds 2 outcomes to the 18 we have already counted.

The final tally of outcomes of interest is ...

  18 + 2 = 20 . . . . of 36 possible outcomes

That is ...

  P(even or >9) = 20/36 = 5/9

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The number 13% as an equivalent fraction is 13/100

From the question, the given parameter is

13%

This above number is a percentage or percentile

So, we have

Percentage = 13%

Next, we multiply the percentage by 1

So, we have

Percentage = 13% x 1

Express 1 as 100/100

So, we have

Percentage = 13% x 100/100

Evaluate the product of 13% and 100

So, we have

Percentage = 13/100

Rewrite as

Fraction = 13/100

The fraction cannot be further simplified

Hence, the equivalent fraction of 13% is 13/100

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Answer:

The answer is A

We need to isolate on the equation

since any number multiplied by one is the same, then z times 1 is z, so we can write

Now, we can add -8 to both side and get

since 8 - 8 is zero, we have

then, z is equal to -8.

Answer: A=-16  B=-5  C=-3

Step-by-step explanation:

Firstly, we have to write the general depreciation fomula as follows;

where V(t) represents the value of the commodity after a certain t years

I is the initial value of the item

r is the annual percentage change (rate of depreciation)

t is the number of years

a) Here, we want to calculate the annual rate of change

According to the data given in the question;

V(t) = $13,000

I = $41,000

r = ?

t = 2004-1994 = 10 years

Now, we proceed to substitute these values, to find the find of r as follows;

b) To write r in percentage form, we have to multiply the answer in 'a' above by 100

We have this as ;

c) Here, we want to get the car value by year 2009

In that instance;

V(t) = ?

I = $41,000

r = 0.1085

t = 2009-1994 = 15

Substituting these values, we have;

To the nearest 50 dollars, this is $7,300

Answer:Dear Mikey,

I saw your progress on how to serve the best food and we wanted to see if you could help us or join our company if you want.

Call 923-456-2483

Sincerely Johns Bagel Company

Step-by-step explanation:

Given the points (0,0) and (3,6)

slope = y2 - y1 / x2 -x1

x1= 0, y1 = 0 , x2= 3, and y2 = 6

slope = 6 - 0 / 3 - 0

slope = 6 / 3

slope = 2

the answer is 2

The horizontal axis represents the time in hours, and the vertical axis represents the number of miles ran.

So for the first part we have 3 miles in 30 minutes (0.5 hour), so we can draw a line from point (0, 0) to point (0.5, 3)

For the second part, he rests for 15 minutes (0.25 hour), so the y-value doesn't change, therefore we have a horizontal line from (0.5, 3) to (0.75, 3).

Then, we have 2 miles in 15 minutes, so we have a line from (0.75, 3) to (1, 5).

And finally, 1 mile in 15 minutes, so a line from (1, 5) to (1.25, 6).

Sketching the graph, we have:

Answer:

Step-by-step explanation:

Answer:  Y = 3x + 3

Simply plug in points on graph calculator.

Answer:

Step-by-step explanation:

I think it might be y=3/1+6 ??? i might be wrong

The final velocity of the Ferrari will be 84.53 km/h. with an initial velocity of 10 km/h, accelerates at a rate of 50 km/h/min for 3 minutes.

This is a typical question from Newtonian mechanics. To solve this problem we have to convert all the given data into a standard unit like C.G.S.

Now, we will convert 10 km/h and 50 km/h by using the formula. (km/h × 5/18 = m/s )

10 km/h = 10× 5/18 = 2.78 m/s

50 km/h = 50× 5/18 = 13.89 m/sec/min = 0.23 m/s²

3 min = 3 × 60 = 180 sec. ( 1 min = 60 sec )

Now, we have to use the formula from Newton's law of motion,

v = u + at/2 .

Now we can calculate the final velocity,

v = 2.78 + (0.23 × 180)/2 = 2.78 + 20.7 = 23.48 m/s

Now, we have to calculate the velocity in km/h, which is (23.48 × 5 )/8 = 84.53 km/h. as we know (km/h = m/s ×18/5 ).

Therefore, the final velocity will be 23.48 m/s according to the given inputs and criteria.

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Answer: 7+(11/r)

Step-by-step explanation:

In the local hamburger shop the total number of hamburgers sold on Wednesday , based on the given data is :

325 hamburgers.

A General Rule for Equation Solving

here form a equation based on given data ;

let ,  Hamburgers be = x

let, Cheeseburgers be = y

here , No. of burgers (hamburgers and cheeseburgers )sold  = 598

here,

x + y = 598 =>(1)

y = x - 52  => (2)

solving 2 equations ,

x + ( x - 52 ) = 598

x + x - 52     = 598

2x = 598 + 52

x = 650 /2

x =  325

on Wednesday  325 hamburgers were sold.

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For the given functions, we will find the first derivative of each function

Note:

a, and b are constants

y, f, and g are functions

2) y = (a+bf)/g

We will use the quotient rule to find y' as follows:

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

3) y = (x+f)/g

We will use the quotient rule to find y' as follows:

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

4) y = (x+f)³

We will use the exponent rule to find the derivative as follows:

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

5) y = ax² + bg² + f

so, y' will be as follows:

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