the formula for converting degrees fahrenheit (f) to degrees kelvin (k) is:
solve for f, in terms of k
k=5/9(f+459.67)

The two co-captians can be chosen in 21 different ways.

If the two co-capitans are equivalent, then we need to find combinations.

So we want to find how many combinations of 2 elements we can make out of a set of 7 elements.

This is given by:

[tex]C(7, 2) = \frac{7!}{(7 - 2)!*2!} = \frac{7*6}{2} = 21[/tex]

So the two co-captians can be chosen in 21 different ways.

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Using correlation coefficients, it is found that that the correct option is given as follows:

The correlation would stay the same because the change in units for time would have no effect on it.

The correlation coefficient does not have units, hence if the units of the measures is changed, the coefficient remains constant, which means that the correct option is given by:

The correlation would stay the same because the change in units for time would have no effect on it.

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Step-by-step explanation:

the answer is b 5 according to the graph

Answer:

[tex]\cos^{-1}( \cos 43^{\circ}) = 43^{\circ}[/tex]

Step-by-step explanation:

The correct answer of the given function [tex]cos^{-1}[/tex] (cos 43°) will be 43°.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

We know that the inverse trigonometric function of any function will vanish.

[tex]cos^{-1}[/tex]  (cos 43°)  = 43° cos inverse has vanished with cos and thus 43° is coming out to be the answer.

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Answer:

7 + 7 = 14

you have 7 apples and add 7 more thats 14

Step-by-step explanation:

Answer:

C. -2(9 + 32n)

Step-by-step explanation:

-2(9 + 32n)

= -2*9 - 2*32n

= (-18) - 64n.

Answer: I'm a fourth grader Here's my answer One degree

I hope This helps and yes It will make sense because Each on line is one degree and I got A test And it was right Any questions just type In the comments

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

         Find the slope of the line that passes through (6, 9) and (9, 5).

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

[tex]\boxed{\\\begin{minipage}{3cm}\xrightarrow {slope\:formula\:below} \\ $\displaystyle\frac{y_2-y_1}{x_2-x_1}$ \\ \end{minipage}}}[/tex]

Substitute 5 for y₂, 9 for y₁, 9 for x₂ and 6 for x₁:-

[tex]\boxed{\frac{5-9}{9-6}}[/tex]

On simplification,

↬ [tex]\boxed{\frac{-4}{3}}[/tex]

   ►So we conclude that the slope of the line is

 ►[tex]\boxed{-\frac{4}{3}}[/tex] ◀︎

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The two consecutive integers that the value of log₄7342 lie between are 6 and 7

The two consecutive integers that the value of log₅(1/500) lie between are -4 and -3

Consecutive integers are whole numbers that follow each other without gaps. For example, 1 and 2; 6 and 7; 5 and 6; 18 and 19 etc.

From the question, we are to determine between what two consecutive integers must the value of log₄7342 lie  

The value of log₄7342 = 6.42

On the number line, 6.42 is between 6 and 7.

Hence, the two consecutive integers that the value of log₄7342 lie between are 6 and 7

For log₅(1/500)

The value of log₅(1/500) = -3.861

On the number line, -3.861 is between -4 and -3

Hence, the two consecutive integers that the value of log₅(1/500) lie between are -4 and -3

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5x²-20

5(x²-4)

hope it helps...!!!

The probability of the spinner landing only once on yellow in two spins is P = 0.375

All the possible outcomes have the same probability, so, the probability that in two spins the spinner land only once in yellow is given by the quotient between the number of outcomes that have only one yellow and the total number of outcomes.

All the outcomes are:

{RR, BB, YY, GG, RB, BR, RY, YR, RG, GR, BY, YB, BG, GB, YG, GY}

16 in total.

The ones where the spinner lands only once on yellow are:

{RY, BY, YB, YG, GY, YR}

6 outcomes.

So the probability is:

P = 6/16 = 0.375

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Answer:C

Step-by-step explanation:

Answer:

the value of x=9 and AB(h)=9.396

Answer:

x ≥ - 89

Step-by-step explanation:

−51 ≤ x + 38

Step 1: Flip the equation.

Step 2: Subtract 38 from both sides.

Answer:

∠ A = 140° , ∠ B = 30° , ∠ C = 10°

Step-by-step explanation:

the sum of the 3 interior angles = 180°

sum the given angles and equate to 180

x - 5 + 2x + 140 = 180

3x + 135 = 180 ( subtract 135 from both sides )

3x = 45 ( divide both sides by 3 )

x = 15

then

∠ A = 140°

∠ B = 2x = 2 × 15 = 30°

∠ C = x - 5 = 15 - 5 = 10°

Answer:

Step-by-step explanation:

Find the measures of the interior angles of the triangle.

180 = 140 + 2x + x - 5

40 + 5 = 3x

45 = 3x

x = 45 : 3

x = 15°

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

check

180 = 140 + 2 * 15 + 15 - 5

180 = 180

the answer is good

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

Find the angles

140° = angle A

2x = 15 * 2

2x = 30° (angle B)

x - 5 = 15 - 5

x = 10° (  angle C)

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

check

140 + 30 + 10 = 180°

the answer is good

Answer:

584

Step-by-step explanation:

8 + 8 squared + 8 cubed is 8 plus 64 plus 512 which is 584

Answer:

Use the pythagorean theorem.

[tex]a^2 + b^2 = c^2[/tex]

The length of one leg, a is 11, and the length of the hypotenuse, the longest side (or c) is 17. Substitute

[tex]11^2 + b^2 = 17^2 \\121 + b^2 = 289\\[/tex]

Subtract 121 from both sides to isolate B

[tex]b^2 + 121 - 121 = 289 - 121\\b^2 = 168[/tex]

Take the square root of both sides to isolate b

[tex]\sqrt{b^2} =\sqrt{168} \\b = 12.961[/tex]

Answer: Heyaa! :)

Your Answer Is.. (3w+7)² Or is 1 depending on if u want the GCF (GFC means to.. Find the prime factors of each term in order to find the greatest common factor (GCF).

Step-by-step explanation:

Factor using the perfect square rule.

Step-by-step explanation:

9w²+42w+49

since this is in (a-b)² form

3²w²+2*3w*7+7²

(3w+7)²

Answer:

Step-by-step explanation:

You could do it either way, but I have attached an image with one way to do it.

Then, using the exterior angle theorem, you can do:

(180-4x) + 100 = 3x

280 - 4x = 3x

280 = 7x

x = 40

From there, don't forget to plug in the numbers if you need to do so :)

The quadratic regression equation is y = -0.02x^2 + 2x - 6

The table of values is given as:

speed (mph) 45 55 65 75

fuel (mpg) 43 45 38 32

Next, we determine the regression equation using a graphing calculator (see attachment)

From the graphing calculator, we have:

a = -0.02, b = 2 and c = -6

A quadratic regression is represented as:

y = ax^2 +bx + c

So, we have:

y = -0.02x^2 + 2x - 6

Hence, the quadratic regression equation is y = -0.02x^2 + 2x - 6

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Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]

Answer:

hey its fine but just add one more line in the between somewhere because it should be total 12 sectors and you have only 11.

Step-by-step explanation:

check the pic for reference

Answer:

I think it should be good =D

Step-by-step explanation:

Answer:

S (- 9, - 8 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here the endpoints are R (- 11, - 12 ) and T (- 7, - 4 ) , then

midpoint = ( [tex]\frac{-11-7}{2}[/tex] , [tex]\frac{-12-4}{2}[/tex] ) = ( [tex]\frac{-18}{2}[/tex] , [tex]\frac{-16}{2}[/tex] ) = (- 9, - 8 )

Answer:

-2

Step-by-step explanation:

Given that;

f(x) = x² -2x

and g(x) = 6x + 4

(f + g)(x) = x²-2x+6x+4

:- x² +4x + 4 = 0

x² +2x +2x + 4 = 0

x(x + 2)+2(x + 2) = 0

(x + 2)(x + 2) = 0

:- x = -2

Answer:

.0013

Step-by-step explanation:

8 hours is 3 standard deviations BELOW the mean   z-score = -3

  from z scor table , tis corresponds to .0013

Answer:

7/24

Step-by-step explanation:

The total amount of unshaded area of shape B is the sum of the areas of the unshaded regions of shapes A and B.

Unshaded area in A: 1 - 2/3 = 1/3

Unshaded area in C: 1 - 5/8 = 3/8

Sum of unshaded areas of A and B: 1/3 + 3/8 = 8/24 + 9/24 = 17/24

Shaded area of B: 1 - 17/24 = 24/24 - 17/24 = 7/24

Answer:

your answer is N = {xxx: =9n