The graph models the linear relationship between temperatures in degrees Fahrenheit and temperatures in degrees Celsius.

What is the rate of change of the temperature in degrees Fahrenheit with respect to the temperature in degrees Celsius?

Determine whether each infinite geometric series diverges or converges. The series converges.

If the series converges, state the sum. 1+ 1/4 + 1/16 + . . . .

The sum of the infinite series is 4/3

What is the sum of the infinite series?

Given:

[tex]a(\text{ the first term })=1\\\\r=\frac{a_{2} }{a_{1} } =\frac{1/4}{1} =\frac{1}{4}\\[/tex]

Since   [tex]\vert r \vert < 1[/tex] , the  infinite series converges.  

The sum of infinite geometric series is:

[tex]S_\infty=\frac{a}{1-r} ; -1 < r < 1\\\\S_\infty=\frac{1}{1-\frac{1}{4}}=\frac{4}{3}[/tex]

The sum of the infinite series is 4/3

What is an infinite geometric series?

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Answer:

48°

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180°.

We can use this information to find the value of third angle, represented with x.

70 + 62 + x = 180 add like terms

132 + x = 180 subtract 132 from both sides

x = 48°

1/2 is  the probability of following event. The card is a 4 .

In statistics, what does a probability mean?

In a standard 52 card deck, there are 4 categories each having 13 cards.

Spades ; Hearts ; Diamonds ; Clubs

Hearts and Diamonds are red.

No. of red cards= 13 x 2 = 26

Probability, P(r) = No. of red cards/ Total no. of cards

P(r) = 26/52 = 1/2

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Answer:

.715 meters

Step-by-step explanation:

The probability that all three cards will be red is [tex]\frac{2}{17}[/tex]

In a deck of cards, the total number of cards is 52.

The total number of red cards in a deck is 26 i.e., half the total number of cards.

Selection of 3 cards from 52 cards is done according to 52C3.

Selection of 3 cards from 26 red cards is done according to 26C3.

∴ Probability = [tex]\frac{Favorable Outcomes}{Total Outcomes}[/tex]

= [tex]\frac{26C3}{52C3}[/tex]

= [tex]\frac{2600}{22100}[/tex]

= [tex]\frac{2}{17}[/tex].

Hence, the probability that all three chosen cards from the deck of 52 cards will be red is [tex]\frac{2}{17}[/tex].

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Answer:

16/39

Step-by-step explanation:

1/3=13/39

1/13=3/39

13/39+3/39=16/39

Ilhan's average speed in the race is 11.03 miles per hour.

The average speed is a scalar measure of the total distance divided by the total time.

The average speed shows an object's displacement rate from one point to another.

Speed measures the rate of fastness, while the average speed shows the average rate of fastness of an object in movement.

The average speed is measured in magnitude without direction as a scalar quantity.

Beginning time for the race = 7:22 am

Ending time for the race = 8:07 pm

Time used = 12hours 45 minutes or 12.75 hours (8:07 pm - 7:22 am)

Swimming 2.4 miles

Cycling 112 miles

Running 26.2 mile

Total distance = 140.6 miles

Average speed = Distance/Time

= 11.03 miles per hour (140.6/12.75)

Thus, Ilhan's average speed in the race is 11.03 miles per hour.

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Answer:

2x + 12

Step-by-step explanation:

Use the distributive property of multiplication over addition.

2(x + 6) = 2 × x + 2 × 6 = 2x + 12

Answer:

first is positive

second is also positive

third id negative

forth is also negative

Step-by-step explanation:

1) and 2) It is because there is no sign before the solution.

for 3) and 4) there is a - (minus) sign before the product so the solution is negative.

Answer:

F= ma is the formula of Newton’s Second Law of Motion.

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

Answer:

{36+7[6-2(10÷)+9(2)]}÷4

Answer:

Step-by-step explanation:

The length and width of the rectangle is 46 feet and 10 feet respectively.

Let the length of the rectangle be x and the width of the rectangle be y.

Now, the length of the rectangle is 4 less than 5 times its width.

Therefore,

x = 5y - 4

The perimeter of a rectangle is given as two times the sum of its length and breadth.

Perimeter = 2( length + breadth)

P = 2( x + y)

Now, the perimeter of the rectangle is 112 square feet.

Therefore,

112 = 2( 5y - 4 + y)

( 112 /2) = 5y - 4 + y

6y - 4 = 56

6y = 56 + 4

6y = 60

y = ( 60 / 6)

y = 10

Now,

x = 5y - 4

x = 5 × 10 - 4

x = 50 - 4

x = 46

So, the length of the rectangle is x = 46 feet and the breadth of the rectangle is y = 10 feet.

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Answer:

35 pennies

Step-by-step explanation:

Savannah started with 5 pennies. You gave her 3 pennies each day for 10 days. The first day you gave her 3 pennies she now has 8. Now the for the second day you add 3 to 8 which 11. You keep adding 3 each day for 10 days.

Easiest way: 10×3=30 30+5=35

She will have 35 pennis after 10 days.

I answered the first question where it asked: "How much money will Savannah have after 10 days."

The expression for the height is given as 3V/pir³

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the ape-x or vertex.

The formula for calculating the volume of a cone is expressed according to the equation;

V = 1/3pir³h

We are to make h the subject of the formula;

V = 1/3pir³h

Cross multiply

3V = pir³h

Divide both sides by pir³

3V/pir³ = pir³h/pir³

3V/pir³ = h

Swap

h = 3V/pir³

Hence the expression for the height is given as 3V/pir³

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Mean = 295.4

321, 285, 300, 285, 286, 293,298

Solution:

The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean

or

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.

Mean :

Mean is a statistical concept that carries a major significance in finance and is used in various financial fields and business valuation. Mean, median, and mode are the three statistical measures of the central tendency of data.

Let there be "n" number of items in a list.

mean of data = sum of data/number of data

= 321 + 285 + 300 + 285 + 286 + 293 + 298 / 7

= 2098/7

= 295.4

Mean = 295.4

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Answer:

7 + 3 * x = 52

x = 15

Step-by-step explanation:

Let's call the number x.

The sum of seven and three times a number is 52

Let's substitute x for "a number" and write it mathematically:

7 + 3 * x = 52

3 * x = 52 - 7

3 * x = 45

x = 15

Correct answer is A. Amal owes Bella  x 3(-2.5)

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given,

School sells bags of popcorn on Fridays for $2.50.

money paid back to Bella after 3 weeks - 1/2

⇒ Amal owes Bella =  x 3(-2.5)

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For both graphs to be parallel, the value of a = -1/2.

If two graphs are parallel, their equation expressed in slope-intercept form y = mx + b, will have the same value of m which is the slope of the graphs.

Given, 4 = 3x + 6y, rewrite both equations in slope-intercept form:

4 = 3x + 6y

-3x + 4 = 6y

-3x/6 + 4/6 = 6y/6

-1/2x + 2/3 = y

y = -1/2x + 2/3 [slope (m) = -1/2]

This means that for both graphs to be parallel, the value of a = -1/2.

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Answer:

-4 smh

Step-by-step explanation:

ono edge

Answer:

false

Step-by-step explanation: You start by answering what's n parenthesis first (pemdas) 3(27 + 6) =

. 3 • 33=

. 99 then answer the second. Problem 18 + 27= 45

So now you know 99>45 which means answer is false

Answer: 58

Step-by-step explanation:

Increment of 3

4th term is 10,

5th term is 13,

6th term is 16,

7th term is 19,

8th term is 22,

9th term is 25,

10th term is 28,

11th term is 31,

12th term is 34,

13th term is 37

14th term is 40

15th term is 43

16th term is 46

17th term is 49

18th term is 52

19th term is 55

Meaning that the 20th term is 58

Answer:

a₂₀ = 58

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = a₂ - a₁ = 4 - 1 = 3 , then

a₂₀ = 1 + (19 × 3) = 1 + 57 = 58

Answer:

a = 2, 4

b = 3,0

c =1,2

Step-by-step explanation:

Answer:

C. 14.7

Step-by-step explanation:

I did it on my calculator

thanks man you gudjkkhshsj

The equation that models the cost x, in dollars, of each movie download is x = $(35 ± 3)/6

From the question, we are to write an equation that models the cost x, in dollars, of each movie download

From the given information,

Steven buys 6 movie downloads and the total cost is $3 above or below

$35

That is,

6x = $(35 ± 3)

Then,

The cost x, in dollars, of each movie download is

x = $(35 ± 3)/6

Hence, the equation is x = $(35 ± 3)/6

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Answer

3.7lb=

2.92=

lb=

6.63

Step-by-step explanation:

Answer:

it is -17/15

Step-by-step explanation:

-1/3-4/5

get the LCM .15

=(15*-1/3-1/5*15)/15

=-17/15

Answer:

2 hours and 22 minutes

Step-by-step explanation:

Rate x Time = jobs

Mr. Comb's rate is 1 field in 5 hours or 1/5.

Mr. Ramset's rate is 1 fiend in 4.5 hours.

If we take the time and rate that it takes Mr. Comb's to mow one field and add it to the time and rate that it takes Mr. Ramset's to move one field  we can find out how long it takes them to mow one field together

RT + RT = 1 (job)

1/5T + 1/4.5T = 1  We need a common denominator.  I just multiplied 5 x 4.5  for get 22.5  Rewrite 1/5 and 1/4.5 with a common denominator or 22.5 we get the equivalent fractions that we can add together.

4.5/ 22.5T + 5/22.5T = 1  Add the fractions together

9.5/22.5T = 1  We want to solve for T, so we will multiply both sides of the equation by 22.5/9.5

9.5/22.5(22.5/9.5)T= 1 22.5/9.5

T = 22.5/9.5  When I divide these, I get 2 35/95 hours.  I need to change the fraction part of an hour to minutes.  I will use the unit multiplies 60 minutes/ 1 hour.

35hours/95 (60 minutes/1 Hour) = 22.10526331579.  I need to round this to the nearest minutes which will be 22 minutes.

There are 210 ways to write 5 of the letters of the word ALGORITHM in a row if the 2 two letters must be TH

Given data

the word ALGORITHM

the first two letters must be TH

ALGORITHM has 9 letters and order of writing the letters is important, so we use Permutation to solve this

The 2 letters TH are fixed and this reduces the number of letters in the word from 9 to 7. Also, the the first two being fixed reduces the letters arrangement to be 3.

This means that we have the arrangement as follows:

7P3

= 7! / ( 7 - 3 )!

= 7! / 4!

= 7 * 6 * 5 * 4! / 4!

= 7 * 6 * 5

= 210 ways

Hence there are 210 ways to write 5 of the letters of the word ALGORITHM in a row if the 2 two letters must be TH

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