Which of the following statements best represents the relationship between a relation and function ?

Answer:

The answer is 754.4 cm²

Step-by-step explanation:

a = r²π

a = (31/2)²π

a ≈ 754.4

The area of the clock face is 754.4 cm²

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the clock will be calculated as:-

a = r²π

a = (31/2)²π

a ≈ 754.4

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Answer:

a. 12/13

Step-by-step explanation:

For a right triangle, sin theta = opposite side/ hypotenuse

sin C = 24/26

Sin C = 12/13

Answer:

The correct answer option is y = -4.

Step-by-step explanation:

We are to find the equation of the mid-line for the following function:

[tex]y=3cos(x-\pi)-4[/tex]

[tex]3 cos((x - \pi ) - 4 = 3 cos(x) - 4[/tex] because [tex]cos(x-\pi) = cos(x)[/tex]

[tex]-1 \leq cos(x) \leq 1[/tex]

[tex]-3 \leq 3cos(x) \leq 3[/tex]

[tex]-3-4 \leq 3 cos(x)-4 \leq 3-4[/tex]

[tex]-7 \leq 3 cos(x)\leq-1[/tex]

The range is -7 to -1 so the midpoint is [tex]\frac{-7-1}{2} =-4[/tex]

Therefore, the equation of the mid-line for the given function is y = -4.

Answer:71.4

Step-by-step explanation:140*51%

The answer is 71.4 because 51% =.51 and .51•140= 71.4

the next two numbers in this pattern is 62,248...

Answer:

512, - 2048

Step-by-step explanation:

Note that the next term rule between consecutive terms is multiply by - 4, that is

2 × - 4 = - 8

- 8 × - 4 = 32

32 × - 4 = - 128

Continue this process to obtain the next 2 terms

- 128 × - 4 = 512

512 × - 4 = - 2048

Answer:

the explicit formula for the geometric sequence  2,6,18,54 is [tex]a_{n}=a_{1}.r^{n-1}[/tex]

2,6,18,54

Step-by-step explanation:

In the sequence given: 2,6,18,54

The common ration is 3 because

a₁ = 2

a₂= 2*3 =6

a₃ = (2*3)*3 = 2*3^2 = 18

a₄= (2*3*3)*3 =2*3^3 = 54

Here we see for a₂ 3 has power 1, for a₃ 3 has power 2 and so on.

So, the formula will be

[tex]a_{n}=a_{1}.r^{n-1}[/tex]

Here aₙ is the no of term.

a₁ is the first term of the sequence

and r is the common ratio among the sequence.

Answer:

b(n)=2⋅3 ^n−1

Answer:

I recommend the work that pays  $45,000 a year because the monthly income is greater than the other job

Step-by-step explanation:

we know that

The first work pays $45,000 a year

so

The monthly income is equal to

$45,000/12=$3,750 per month

The second work pays $20.50 an hour

Remember that

1 year= 52 weeks

so

In one year pays -----> (8)*(5)*(52)($20.50)=$42,640 a year

The monthly income is equal to

$42,640/12=$3,553.33 per month

I recommend the work that pays  $45,000 a year because the monthly income is greater than the other job

Answer: If you take 6 in and multiply by 12 You would get 72 inches

*Step By Step explanation* 6 Multiplied by 12 equals 72

Rounding would not be necessary.

Answer:

The correct option is B. 226 inches³

Step-by-step explanation:

The diameter of the cone is given to be 12 inches

So, The radius of the cone will be 6 inches

Also, The height of the cone is given to be 6 inches'

Now, we need to find the volume of the cone.

So, Volume of the cone is given by the formula :

[tex]Volume=\frac{1}{3}\pi\times radius^2\times height[/tex]

[tex]Volume=\frac{1}{3}\times 3.14\times 36\times 6[/tex]

[tex]Volume=226.08[/tex]

[tex]Volume\approx 226.08\:inches^3[/tex]

Therefore, the correct option is B. 226 inches³

the answer is A.) 3/10

Option: B is the correct answer.

            [tex]B.\ \ \dfrac{7}{10}[/tex]

We know that P(A or B) i.e. P(A∪B) is calculated by using the formula:

[tex]P(A\bigcup B)=P(A)+P(B)-P(A\bigcap B)[/tex]

( The students are: Fran, Juan , Ian and Ella )

( The students are: Mickey, Mai, Marcus , Ian and Ella)

( since those students are: Ian and Ella)

Hence, we have:

[tex]P(A)=\dfrac{4}{10}\\\\\\P(B)=\dfrac{5}{10}\\\\\\P(A\bigcap B)=\dfrac{2}{10}[/tex]

Hence, we have:

[tex]P(A\bigcup B)=\dfrac{4}{10}+\dfrac{5}{10}-\dfrac{2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{4+5-2}{10}\\\\\\i.e.\\\\\\P(A\bigcup B)=\dfrac{7}{10}[/tex]

Answer:

Second option

Third option

Last option

Step-by-step explanation:

You have the expression [tex]3x - 12 - 2(x + 12)[/tex], you can find the following equivalent expressions:

Apply Distributive property:

[tex]3x - 12 - 2x -24[/tex]

Group the first two terms and factor out 3:

[tex]=3(x - 4) - 2x -24[/tex] (Second option)

Apply Distributive property and then add the like terms:

[tex]=3x - 12 - 2x - 24[/tex]

[tex]=x-36[/tex] (Last option)

Group the first two terms and factor out 3:

[tex]=3(x - 4) - 2(x + 12)[/tex] (Third option)

Answer:

x

2

−

4

x

−

12

Step-by-step explanation:

Answer:

y = 1.6 x

y = 24

Step-by-step explanation:

The general equation of a direct variation is

y = k x

In this case

x = 10

y = 16

y = k*x

16 = 10*k

16/10 =  k

k = 1.6

y = 1.6x

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

Let x = 15

y = 1.6 * 15

y = 24

Answer:

150

Step-by-step explanation:

Final answer:

Miss Balcon would work 150 hours in 4 weeks as a secretary at a Christian school.

Explanation:

In order to find out how many hours Miss Balcon would work in 4 weeks, we need to first calculate the number of hours she works in a week. She works 7 1/2 hours each day, and since there are 5 days in a week, she works a total of 7 1/2 x 5 = 37 1/2 hours in a week.

Now, to find out how many hours she would work in 4 weeks, we can multiply the number of hours she works in a week by 4. So, 37 1/2 x 4 = 150 hours.

Therefore, Miss Balcon would work 150 hours in 4 weeks.

Answer:

100

Step-by-step explanation:

Write the numbers in increasing order:

45, 58, 70, 100, 450, 600, 805

Now, pick the middle number.

The median is 100.

Answer:

100

Step-by-step explanation:

Set the set in order first,

45, 58, 70, 100, 450, 600, 805

Now clear each side by one step after another

45, 58, 70, 100, 450, 600, 805

     58, 70, 100, 450, 600

           70, 100, 450

                 100

Hope this helps

Answer:

94.1 m²

Step-by-step explanation:

Use the sine rule to find BC

[tex]\frac{BC}{sin82}[/tex] = [tex]\frac{12}{sin40}[/tex]  ( cross- multiply )

BC × sin40° = 12 × sin82° ( divide both sides by sin40° )

BC = [tex]\frac{12sin82}{sin40}[/tex] ≈ 18.487

Area = [tex]\frac{1}{2}[/tex] × 12 × 18.487 × sin58° ≈ 94.1

two ratios are equal and form a proportion.

Answer:

they form a proportion.

Check the picture below.

Answer:she would have at least gotten a 75 to pass.

Step-by-step explanation:76+82+71+75=304

304÷4= a solid 76%

Answer:

My best guess is b. 111

Step-by-step explanation:

She first catches 54 and returns them then she catches 70 and 13 of those she had previously caught, so she only caught 57 new frogs. So within the sample time period she had caught a total of 54+57= 111 frogs.

Answer: 111

Step-by-step explanation:

she catches 54 and puts on the leg bands. The next day she catches 70 but 13 of them were from the previous day.

So, 54+70-13=111

Answer:

A. 10 fluid ounces

Step-by-step explanation:

One fluid ounce is equal to one quart. This means she had 64 fluid ounces in her jug. She poured 6 3/4 fluid ounces in 8 mugs, so you would multiply 6 3/4 by 8 to get 54. Now you go back to the original amount, 64, and subtract 54 from that. 64 minus 54 equals 10. I hope this helped!

Answer:

118°

Step-by-step explanation:

Since it is an isosceles triangle, two angles must be the same.

Also angles in a triangle add up to 180° and from this we can deduce that

x + ( 31 + 31 ) = 180

( Simplify )

x + 62 = 180

( - 62 from both sides )

x = 118°

Answer:

Final answer is [tex]a_0=-9[/tex]

Step-by-step explanation:

Given equation is [tex]5-a_0=14[/tex]

Now we need to solve the given equation 5-a_0=14 for the unknown variable  [tex]a_0[/tex] .

We can do that by isolating [tex]a_0[/tex]

To isolate a_0, let's subtract 5 from both sides

[tex]5-a_0-5=14-5[/tex]

[tex]-a_0=9[/tex]

multiply both sides by -1

[tex]-a_0(-1)=9(-1)[/tex]

[tex]a_0=-9[/tex]

Hence final answer is  [tex]a_0=-9[/tex]

Answer:

4.4721

Step-by-step explanation:

Hi, hope you’re having a good day!

Could you please add the picture?

Thanks, have a good day! ❤️❤️

The picture is not shown, if you could add it, I would be happy and try and answer as best I can! Have a good day! :)

Answer:

1. 31/99 2. 215/999 3. 6704/9999

Answer:

31/100, 215/100, 419/1250

Answer:

[tex]z=13(\cos 157\degree +i\sin157\degree)[/tex]

Step-by-step explanation:

The given complex number is

[tex]z=-12+5i[/tex]

The polar form of this complex number is;

[tex]z=r(\cos \theta +i\sin \theta)[/tex], where

[tex]r=\sqrt{(-12)^2+5^2}[/tex]

[tex]r=\sqrt{144+25}=\sqrt{169}=13[/tex]

and

[tex]\theta =\tan^{-1}(\frac{5}{-12})[/tex]

This implies that;

[tex]\theta=157\degree[/tex] to the nearest degree.

Hence the polar form is

[tex]z=13(\cos 157\degree +i\sin157\degree)[/tex]

Step-by-step explanation:

62.56

9.2 * 6.8 = about 63

Since you are estimating, first round the numbers.

Change 9.2 to 9 and change 6.8 to 7. This leaves you with 9 * 7, which is 63, and since you are estimating, your answer doesn’t need to be exact.

Answer:

d. 53.1°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you ...

Cos = Adjacent/Hypotenuse

You are given the lengths of t (hypotenuse) and r (adjacent to S), so you can find the angle from ...

cos(S) = r/t = 12/20

S = arccos(12/20) ≈ 53.1° . . . . . use the inverse cosine function

Answer:

d. 53.1

Step-by-step explanation:

this is the correct answer on ed-genuity, hope this helps! :)

Factor out common terms in the first two terms, then in the last two terms

4x^2(5x - 3) + 3(5x - 3)

Factor out the common term 5x - 3

= (5x - 3)(4x^2 + 3)

Answer:

In mathematics, a parabola is a plane curve that is mirror-symmetrical and is approximately U-shaped.

Answer:

Step-by-step explanation:

a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity ideally follows a curve of this shape.

A parabola is a two-dimensional, mirror-symmetrical curve, which is approximately U-shaped when oriented as shown in the diagram below, but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to define curves of exactly the same shape.

Answer:

It's d. 0.

Step-by-step explanation:

The log (to any base) of 1 = 0, so log8 1 = 0, and the whole expression is equal to 0:

 0 * log3 27 = 0.

The expression log8 1 * log3 27 evaluates to 0, so the equivalent expression from the options is d - 0.

The expressions we need to evaluate are log8 1 * log3 27. The log of 1, no matter what the base, is always 0. This is because any number raised to the power of 0 is 1. So, log8 1 is equal to 0. Now, evaluate log3 27. The log base 3 of 27 is 3 because 3 cubed (or 3 to the power of 3) is 27. So, log3 27 equals 3. Thus, log8 1 * log3 27 = 0 * 3 = 0. Comparing with the given options, we find that the only equivalent expression is option d - 0.

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