The formula
K = 5/9 (F - 32) + 273.15 converts a Fahrenheit temperature to a Kelvin temperature. Solve the formula for F. Then find the Fahrenheit temperature for a Kelvin temperature of 310.15 K

Answer:

(2) B

Step-by-step explanation:

According to the graph

p(2, 3) so (-b, a) is (-3, 2)

So B is right

Answer:

[tex]B = ( - b,\: a)[/tex]

Step-by-step explanation:

Since P has the coordinates (a, b), then (a,b) would be (2, 3). Therefore:

[tex]a = 2\: and \: b = 3[/tex]

We are trying to find what point has the coordinates (-b, a). Recall:

[tex]a = 2 \: \: \: \: \: \: \: \: b = 3 \\ ( - b, \: a) = \\ ( - 3, \: 2)[/tex]

The point that is at (-3, 2) is point B.

Answer:

See the attached graph

Step-by-step explanation:

The solution is the labelled point of intersection in the graph

Answer:

B

Step-by-step explanation:

Add 15,181 and 137 then for part b subtract 15,181 and 4,893 and that's a way higher number than 4,893 and 137

Answer:

Step-by-step explanation:

+ 15,181 ft.

- 137 ft.

d = | 15,181 - ( - 137 ) | = 15,318 ft.

15,318 ÷ 2 = 7,659 ft. > ( 4,893 + 137 ) ft.

⇒ the answer is (B).

Answer:

Twice as large, or 180 cubic inches more

Step-by-step explanation:

To find the volume/ cubic inches of Emilia's pencil box, multiply base x width x height.

12 · 5 · 3 = 180

Do the same with Richard's pencil box, but multiply the height by 2

12 · 5 · 3(2) = 360

Subtract 180 from 360 to get 180.

Richard's pencil box is 180 cubic inches larger than Emilia's

Hope this helps!

√a × √b = √ab

only if at atleast one among a,b is positive

here both a,b is non negative so not possible

Step-by-step explanation:

Remember when expanding radicals,

[tex] \sqrt{ab} = \sqrt{a} \times \sqrt{b} [/tex]

When expanding radicals into two radicals, we don't let our radicand have two negative answers.

[tex]i = \sqrt{ - 1} [/tex]

[tex] {i}^{2} = - 1[/tex]

We don't do this

[tex] (\sqrt{ - 1} ) {}^{2} = \sqrt{ - 1 \times - 1} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

[tex] - 1 = 1[/tex]

Answer:

b

Step-by-step explanation:

its correct

Step-by-step explanation:

a)

y = 2x³ + 4x

a polynomial of 3rd degree cannot have an axis of symmetry.

it can only have a point of symmetry, like in this case.

(0, 0) is the point of symmetry, because due to the fact there is no squared term, any negative x values create exactly the same values (in absolute values) as their positive counterparts - just negative.

the vertex of a polynomial of 3rd degree is the point where the function changes directions.

that point for x³ is the origin, as it is for x. the factors only stretch the graph, but the vertex stays the same.

only if we had a term like (x+a)³ in the polynomial, this would shift the vertex.

so, the point of symmetry and the vertex are the same :

(0, 0).

b)

y = -x² + 4x - 5

the vertex form of a quadratic function is

f(x) = a(x − h)² + k

with (h, k) is the vertex.

x = h is the axis of symmetry.

we use "complete the square" to get it into that form.

-x² + 4x - 5 = -(x² - 4x + 5) = -(x - 2)² - 1

therefore,

y = -(x - 2)² - 1

h = 2, k = -1

the vertex is (2, -1)

the axis of symmetry is x = 2

Answer:

1

Step-by-step explanation:

Given that, 1 to the power of 3

Generally, the rules for exponentiation states that if l is any real number and m is a positive integer, then lm can be shown as:

lm = l × l × … × l (m times)

Hence, 1 to the power of 3 can be written as 13, where the number 1 is called the base, and 3 is the power or exponent of the expression.

Therefore, 13 = 1 × 1 × 1 = 1

Hence, 1 to the power of 3 comes as 1.

Answer:

1

Step-by-step explanation:

No matter what power you raise one to it will still be 1

Answer:

Step-by-step explanation:

f(x)=x2−4x−

12Set x2−4x−

12 equal to 0.x2−4x−

12

=

0

Solve for

x

.

x

=

6

,

−

2

[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]

Answer:

20000(.05)^x-750

Step-by-step explanation:

That's the equation for figuring out the population

Answer:

What are we suppose to answer...

Answer:

The answer is [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Use rise over run, so you go up 1 then go to the right twice giving you the slope

The number of views snapgram, bookface and giggle have are 8, 32.3, 17.7 views respectively.

let

= x + 24.3 - 14.6

= x + 9.7

Total = snapgram + bookface + giggle

58 = x + (x + 24.3) + (x + 9.7)

58 = x + x + 24.3 + x + 9.7

58 = 3x + 33

3x = 58 - 34

3x = 24

x = 24/3

x = 8 views

Therefore,

snapgram views = x

= 8 views

Bookface views = x + 24.3

= 8 + 24.3

= 32.3 views

Giggle views = x + 9.7

= 8 + 9.7

= 17.7 views

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[tex]|-24 \div 2^2|\\\\\\=\left|-24 \times \dfrac 1{2^2} \right|\\\\\\=\left|-\dfrac{24}4\right|\\ \\\\=|-6|\\\\\\=6[/tex]

Answer:

x = 14

Step-by-step explanation:

The different types of angle relationships:

Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.

Creating an equation:

We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.

In other words 9x - 14 + 5x - 2 = 180

Solving for x

Know that we have created an equation we can solve for x algebraically.

9x - 14 + 5x - 2 = 180

==> combine like terms

14x - 16 = 180

==> add 16 to both sides

14x = 196

==> divide both sides by 14

x = 14

And we are done!

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

[tex] \textbf{Let's solve for x } [/tex]~

[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]

[tex] \texttt{[ by linear pair property ]} [/tex]

[tex]\qquad \sf  \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x - 16 = 180[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 180 + 16[/tex]

[tex]\qquad \sf  \dashrightarrow \:14x = 196[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 196 \div 14[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 14[/tex]

[tex] \texttt{Therefore, the value of x is 14} [/tex]

I Hope you understood the whole procedure ~

Answer:

B - 181/500

Step-by-step explanation:

To convert percentages to fractions you divide by 100. That would make this 36.2/100. But we dont like fractions with decimal points in so you would multiply the whole thing by 5 to get rid of the .2 this makes the answer 181/500

Answer:

181/500

Step-by-step explanation:

Firstly do

362/1000 so their is no decimals

then

181/500 which is your answer

By finding common factors, we conclude that we can divide the trees in 6 or in 9 parts, but not in 8.

We know that each of these parts needs to have the same number of each type of trees.

So we need to see if 6, 8, or 9, are common factors between 36 and 54.

First:

6*6 = 36

9*4 = 36

So 9 and 6 are factors of 36.

And 9*6 = 54

So 9 and 6 are factors of 54.

(8 is not a factor of neither)

So 9 and 6 are common factors between 36 and 54.

Then we can divide the trees in 6 or in 9 parts, but not in 8.

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Answer:

-7.75

Step-by-step explanation:

[tex]\text{if}\ x = 8 \rightarrow y = 124\\y \propto x\\y = kx\\\\124 = k \times 8 = 8k\\\frac{124}{8} = \frac{8k}{8}\\15.5 = k\\\\\text{We've now found the formula}\\y \propto x\\y = kx = 15.5x\\\\x = -\frac{1}{2} \rightarrow y = ?\\y = 15.5x = 15.5 \times -\frac{1}{2} = -7.75[/tex]

Answer:

2) x=5

4) 6y-3

Step-by-step explanation:

2) 2x-3=7

Add 3 on both sides (-3+3 cancel each other out and 7+3 is 10)

Now your equation is 2x=10

Divide 2 from both sides

2x/2 cancel each other and 10/2 is. Therefore, x=5

4) 3(2y-1)

3 times 2y is 6y

3 times -1 is -3 (negative times positive is negative)

Equation: 6y-3

Answer:

72.

Step-by-step explanation:

2 x{15 plus[24-(1.5 x2)]}

Using PEDMAS:

= 2 x {15 + [24-(3)]}

= 2 x (15 + 21)

= 2 x 36

= 72.

The mean of the data set is 22.1

The sample proportion of numbers less than the mean is %53

To find the mean,

We would sum the numbers and then divide them by the number of data.

25.5 + 26 + 18.2 + 15.3 + 28.5 + 27 + 20.7 + 20.2 + 26.1 + 18.2 + 21.4 + 17.9 + 24.3 + 22.6 + 19.6

= 331.5

331.5/15= 22.10.

To find the proportion of numbers, we would order them:

15.3

17.9

18.2

18.2

19.6

20.2

20.7

21.4

---------

22.6

24.3

25.5

26

26.1

27

28.5

The discontinuous line shows the split of the data that are less than the mean.

Those data are 8 in number and their proportion is:

8 / 15

= 0.53

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Answer:

y=3x-2

For plotting graph we have to put some x values in above equation then we get y Ans

when x=0,y=-2

when x=1,y=1

when x=2,y=4

when x=-1, y=-5

when x=-2, y=-8

Step-by-step explanation:

Answer:

y=3x-2

Step-by-step explanation:

Answer:

monomial

Step-by-step explanation:

Answer:

Neither?

Step-by-step explanation:

3/10 = 0.3

12/20 = 0.6

5/20 = 0.25

I would say that its up to you what you want to put.

Sorry if it doesn't help.

The goat race is 324.25 meters longer than the ant race .

The goat race is 325 meters long. The ant race is 75 centimetres long.

The goat race is in meters while the ant race is in centimetres.

Let's convert the ant race to meters.

Hence,

1 cm  = 0.01 m

75 = ?

cross multiply

Ant race = 0.75 meters

Therefore, let's find the difference between the goat race and the ant race.

325 - 0.75 = 324.25 meters.

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Answer: Step 1: To compare the distances, they must both be in meters or both be in centimeters. Change 75 centimeters to meters.

So=75 cm ÷ 100 = 0.75 m

Step-by-step explanation:

Step 2: Determine how much longer the goat race is than the ant race in meters.  

o get the correct answer, subtract the length of the ant race in meters from the length of the goat race.

Remember to line up the decimal points and add zeros as plac

eholders. The difference of 325 and 0.75 is 324.25.

The goat race is 324.25 meters longer than the ant race.

Step-by-step explanation:

I think the question should be m<-2.2 according to your number line

the answer is graphed. I hope it helps

Answer:B

Step-by-step explanation: this is because when it is greater than, it goes right, and if there is no "equal to" it is closed circle and B has a closed circle going to the right of -2.2