(4.03 MC) the table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal / number of cup of raisins
8 4
10 5
12 6

Answer:

pi/3, 5pi/3

Step-by-step explanation:

We can see that when cosine is at 1/2, the angle measures are pi/3 degrees and 5pi/3 degrees. You can use a unit circle to find this. You can also find arccos(1/2), but that will only give you the value pi/3, not 5pi/3.

We can plug these in to find that they are indeed equal to 1/2.

The x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

Here, we have,

To find the x-value that corresponds to a y-value of 1/2 between π and 2π for the equation y = cos(x), we can use the inverse cosine function (also known as arccosine or cos⁻¹).

The inverse cosine function will give us the angle whose cosine is a specific value.

In this case, we want to find the angle whose cosine is 1/2.

Using the inverse cosine function, we can write the equation as:

x = arccos(1/2)

To solve this equation, we need to evaluate the inverse cosine of 1/2. In general, the inverse cosine of a value returns an angle between 0 and π (180 degrees). In this case, we are interested in finding an angle between π and 2π.

The value of arccos(1/2) is π/3.

Therefore, the x-value that corresponds to a y-value of 1/2 between π and 2π is π/3.

It's important to mention that the cosine function is periodic, so there are multiple x-values that can correspond to a y-value of 1/2. In this case, we have chosen the x-value that lies between π and 2π.

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Answer:

9

Step-by-step explanation:

Each side is being multiplied by 1.5.

3 times 1.5 is 4.5.

7 times 1.5 is 10.5.

6 times 1.5 is 9.

Answer:

-2.78

Step-by-step explanation:

You first divide and then multiply.

Answer:

answer choice is B

Step-by-step explanation:

Use mathaway and scan the problem

Answer:

The value of x is the value where the line crosses the x-axis!

________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake!!

I enjoy learning from them:)

Answer:

x = y - b/m (with the obvious restriction m ≠ 0 )

Step-by-step explanation:

If

y = mx + b

subtracting b from both sides

y - b = mx

dividing both sides by m

y - b/m = x

flipping the sides (to make it look more normal)

x = y - b/m

Answer:

x=32

Step-by-step explanation:

Answer:

See below for answer

Step-by-step explanation:

Set up the equation 5x+7x+9x=2100 and solve for x:

5x+7x+9x=2100

21x=2100

x=100

Now multiply the proportion by 100:

5:7:9 * 100 = 500:700:900

This means that Antony will get $500, Terry will get $700, and Jack will get $900.

The answer to the question is

D)  ($9. 60, $9. 84)

tom's snowman has to increase by anything greater than 4.4 ft

Answer:

4.5 feet

Step-by-step explanation:

9+4.5=13.5

13.5>13.4

We have: PT = NT <=> 4x - 17 = x + 10 <=> 3x = 27 <=> x = 9

=> NT = 4x - 17 = 4.9 - 17 = 19

Δ RNT have:

[tex]RT^2 = NT^2 -RN^2 =19^2 -14^2=165\\=>RT=\sqrt{165} [= 12.84523258][/tex]

Ok done. Thank to me :>

Answer:

answer B

Step-by-step explanation:

becuase b is bad for you

Answer:

12+26x=64

Step-by-step explanation:

64-12=52

52/2=26

$26 per pass

equation 12+26x=64

x=2 in this case x is representing the number of passes

12 is the ticket

and 64 is total cost

[tex] \frac{1}{5} + \frac{3}{4} \times \frac{3}{5} = \\ [/tex]

[tex] \frac{1}{5} + \frac{9}{20} = \\ [/tex]

[tex] \frac{4}{20} + \frac{9}{20} = \\ [/tex]

[tex] \frac{13}{20} \\ [/tex]

Answer:

8 cm

Step-by-step explanation:

According to the condition,

[tex]\dfrac{PQ}{RS} = \dfrac{QT}{ST}\\\\\implies \dfrac{9}{3} = \dfrac{QT}{4}\\\\ \implies 3 =\dfrac{QT}{4}\\\\\implies QT = 3 \times 4 = 12~ \text{cm}\\\\\text{Hence}~ QS =QT - ST = 12 -4 = 8~ \text{cm}[/tex]

Answer:

From the list the multiple of 3 is 24

Answer:

Dean ran 8.0467 kilometers

Step-by-step explanation:

First, you need to know how much kilometers are in a mile. 1 mile is 1.60934 kilometers, so once you found that out, then you would do 1.60934x5 which gets you 8.0467. Hope it helps!

Answer:

Jayden's solution is incorrect.

Jayden divided 14 by 2 and then added 1.5

Jayden substituted the wrong value for a.

The equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that there is a total of 15 events. And in order to win 75% of the event, Cheyenne need to win,

The number of matches Cheyenne needs to win = 75% of 15

                                                                                 = 11.25 ≈ 12 events

Since Cheyenne has already won 6 events out of 15, she needs to win 6 more events.

Hence, the equation that can be used to determine how many events Cheyenne will need to win in a row to have an overall win rate of 75% is x+6=(3/4)×15.

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Answer:

No, Yes, No, Yes

Step-by-step explanation:

A function is where each input (the first value in the ordered pair) only has one output (the second value in the ordered pair)

1.

List of inputs: 1, 2, 2, 7

List of outputs: 3, 5, 7, 9

For the input value of 2, there is more than one output. 2 is mapped to both 5 and 7, so this is not a function

2.

Inputs: 1, 2, 3, 4

Outputs: 3, 5, 7, 9

Each input only has one output, so this is a function

3.

Inputs: 1, 1, 1, 1

Outputs: 3, 5, 7, 9

For the input value of 1, there is more than one output. 1 is mapped to 4 values, so this is not a function

4.

Inputs: 1, 2, 3, 4

Outputs: 3, 3, 3, 3

Each input is only mapped to one output, so this is a function

Answer:

16

Step-by-step explanation:

261 - 256 - 251

-5 by step

to 50th term there is 49 -5's from 261.

261 + 49.(-5) = 261 - 245 = 16

Answer:

16

Step-by-step explanation:

The sequence appears to be an arithmetic sequence. To find the 50th term we should create a general formula for the sequence.

General formula of an arithmetic sequence: [tex]a_n=a_1+(n-1)d[/tex]

where An = nth term, a1 = first term , n = number of terms and d = common difference.

The first term is 261 so a1 = 261

The common difference appears to be -5

( 256 - 261 = -5 ) and ( 251 - 256 = -5 )

so d = -5

We want to find the 50th term so n = 50

We then plug all of this in to get the 50th terms

Formula : [tex]a_n=a_1+(n-1)d[/tex]

a1 = 261 , n = 50 and d = -5

[tex]a_n=261 + (50-1)-5[/tex]

subtract 1 from 50

[tex]a_n=261+(49)(-5)[/tex]

multiply 49 and -5

[tex]a_n=261-245[/tex]

subtract 245 from 261

[tex]a_n=16[/tex]

The 50th term is 16

Answer:

m=2

Step-by-step explanation:

m=y2-y1/x2-x1

m=3-1/1-0

m=2/1

m=2

Answer:

2

Step-by-step explanation:

because i got it right on the quiz

Answer:

It will take 5 minutes to make one balloon structure. 7 balloons are used in 1 sculpture For part b the answer would be: Tom's unit rate for balloons used per minute would be 1.4

Step-by-step explanation:

Answer:

10^2=100

because all u would do is put down 10 two times and then u just multiply those 2 numbers

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

This is an exterior angle theorem question.

To answer this question, you must know what the exterior angle theorem is:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)

So first, you need to add the two opposite interior angles.

3x+8+2x+9 is equal to 5x+17.

Then, you make an equation setting 5x+17 equal to the exterior angle.

5x+17 = 8x-16.

To solve this equation, first add 16 on both sides

→5x+33 = 8x

Then, subtract 5x on both sides

→ 33 = 3x

Finally, divide both sides by 3 to get x=11

Answer: The next term is -243.

Answer:

-243

Step-by-step explanation:

The common ratio in this geometric sequence is -3. Therefore, the next term will be 81(-3) = -243.