In 2011, the average daily temperature in Darrtown was 65°F. In 2012, the average daily temperature increased by 3% but then decreased by 4.5% in 2013.
What was the daily average temperature in Darrtown in 2013?
A. 62°F
B. 64°F
C. 68°F
D. 74°F

a)

[tex]\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}[/tex]

b)

[tex]\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}[/tex]

c)

[tex]\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}[/tex]

Answer:

Second Option

Step-by-step explanation:

Graph is sloping down so your first number must be negative, hence eliminating option 3.

y-intercept is negative, hence eliminating option one. By process of elimination, your answer is option 2. Sorry for the brief explanation. Do let me know if you need any further explanation. Thanks!

Answer:

P can be located anywhere below the x-axis but not directly on the y-axis

Step-by-step explanation:

To start, "a" refers to the x coordinate for P and "b" is the y coordinate. The y axis is the vertical line on a graph and anything below the point of 0 is negative. If x can't be 0, that also means that it can't be on the y axis. So, if the x coordinate can be any number and y is negative, P can be anywhere below the x-axis and not on the y-axis (drawing a graph will help with understanding, too).

Answer:

3,864 Km

Step-by-step explanation:

920/60=15.333333

15.33333*252=3,864

Hey there! I'm happy to help!

We see that points A and B are on the same horizontal line, and and they are 10 units apart. C and D are on their own horizontal line and they are also 10 apart. This means that this is a square, so we multiply one side by itself

10²=100

The area is 100 square units.

Have a wonderful day! :D

Answer:

A: not a function

B: function

C: Not a function

D function

Step-by-step explanation:

A: doesn't pass vertical line test

B: No repeating x values, for every x-value there is only one y-value

C: X value has 2 y values

D: pass vertical line test

Answer:

-51

Step-by-step explanation:

Answer:

0.30612244897959

Step-by-step explanation:

Answer:

x = -11

Step-by-step explanation:

-12 = x - 1

-12 + 1 = x

x = -11

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 11}}}}}[/tex]

Step-by-step explanation:

[tex] \bigstar{ \sf{ \: - 12 = x - 1}}[/tex]

[tex] \tt{Step \: 1 \: }[/tex] : Swap the sides of the equation

[tex] \hookrightarrow{ \sf{x - 1 = - 12}}[/tex]

[tex] \tt{Step \: 2 \: }[/tex] : Move 1 to right hand side and change it's sign

[tex] \hookrightarrow{ \sf{x = - 12 + 1}}[/tex]

[tex] \tt{Step \: 3}[/tex] : Calculate

Remember : The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \hookrightarrow{ \sf{x = - 11}}[/tex]

The value of x = 11

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

Yes, it is AC.

Explanation:

There’s no other way of naming it.

Answer:

2(2x - 3)(x^2 -4)

Step-by-step explanation:

the second one

Answer:9

Step-by-step explanation:when an absolute value has a negative it turns to a positive which makes this problem 3x3

Answer:

9

Step-by-step explanation:

3×-3= -9

absolute value of -9 is 9

Answer:

1

Step-by-step explanation:

Just replace 0 instead of x and simplify.

The required value of h(0) is 1.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.

Now the given function is,

h(x) = -x + 1

To find the value of h(0), put x= 0 in the given equation

⇒ h(0) = -0+ 1

Since, -0+ 1= 1

∴We obtain,

h(0) = 1

which the required value of h(0).

Hence,the required value of h(0) is 1.

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Answer: First choice. ECFBDA

Explanation:

The answer choices list either step E or step F first.

It turns out that step E must come first because we place the compass on the original angle ABC to help copy this angle.

The arc formed on angle ABC intersects the two rays as described in step E. Those two intersection points are labeled point D and point E, which is what step C describes. So C must be the next step.

Therefore the correct sequence is ECFBDA.

ECFBDA is the correct order of steps for bisecting angle ABC.

"Angle bisector is defined as the ray which divides an angle into two equal measures."

According to the question,

Rearrange the given statements in correct order of steps for angle bisector.

E. Place the compass on point B, and swing an arc that intersects rays BA and BC.

C. Place point D on the intersection of the arc on ray BA and point E on                                                

    the intersection of the arc with ray BC.

F. Place the compass on point D, and draw an arc inside the angle.

B. Keeping the compass the same distance , place the compass on point

    E. draw an arc inside the angle.

D.  Place point F on the intersection of the arcs created from points D

     and E.

A. Draw a ray from point B through point F.

Hence, ECFBDA is the correct order of steps for bisecting angle ABC.

Learn more about angle bisector here

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Answer:

The meet at first time at starting point after 336 seconds,

Vanu have completed 7 laps while Tanuj has completed 6 laps.

Step-by-step explanation:

Given that Venu and Tanuj take 48 seconds and 56 seconds to

complete a lap respectively.

To meet them again at the startiong point, the  time taken must be multiple of 56 and 48.

So, the minimum time required to meet them again at the startiong point is time taken for first time meet.

Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.

Number of laps by Venu

[tex]=\frac{336}{48}=7[/tex]

Number of laps by Tanuj

[tex]=\frac{336}{56}=6[/tex]

Answer:

Step-by-step explanation:

I - E = P

-E = P - I

E = I  - P

Answer:

2(2W+12) < 560

Step-by-step explanation:

Perimeter of a rectangular dog pen P = 2(L+W) where;

L is the length of the dog pen

W is the width of the dog pen

If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12

If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560

The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)

Substituting the given parameters;

2([W+12]+W)<560

2(2W+12)<560

Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560

Answer:

(8-28i)/53

hope it helps!

Step-by-step explanation:

The phrase “the difference between a number and 5” as a variable expression would look like: x - 5

Answer:

44 in

Step-by-step explanation:

Answer:

t = 74 / 9

Step-by-step explanation:

-9(t - 2) = 4(1 - 15)

-9t + 18 = 4 - 60

-9t + 18 = -56

 -18      -18

-9t = -74

/-9     /-9

t = 74 / 9

t = 8.22

Answer:

t = 74 / 9 ~= 8.222

Step-by-step explanation:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 * 1 + 4 * -15

-9t + 18 = 4 + -60

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 / 9

Alternatively:

-9 ( t - 2 ) = 4 ( 1 - 15 )

-9 * t + -9 * -2 = 4 ( - 14 )

-9t + 18 = -56

-9t = -56 + -18

-9t = -74

t = 74 /9

Cheers.

The value of 8 is 800,000.

The value of each digit in a number is known as the place value.  The place value of 8 in the number 865,202 is 800,000.

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

The place values on the left of the decimal point start as ones, tens, hundreds, and so on. The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so on

The place value of 8 in the number 865,202 is 800,000.

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Answer:

Step-by-step explanation:

Refer to attached. All answers included.

Answer:

9/10

Step-by-step explanation:

Answer:

x = -9

Step-by-step explanation:

Answer:

x= -9

Step-by-step explanation:

2x+20=-3x-25

+3. +3

5x+20=-25

-25. -25

5×=-45

÷5. ÷5

×= -9

Answer:

1924

Step-by-step explanation:

1998

-   75

--------

1924 so he was born in 1924

Step-by-step explanation:

W^2 = 46.

We know that 6^2 = 36 and 7^2 = 49.

Therefore W should be between 6 and 7.

Answer:

350 miles in 7 hours

Step-by-step explanation:

1. find

if 9=405

1=v(represent with a variable

2. do the same for the others and select the highest number