Ava is making Vampire punch for the Halloween party. The recipe makes 12 servings and calls for 3/5 cups of cranberry juice. how much cranberry juice will she need for 15 servings

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

9514 1404 393

Answer:

  d.  50 x 10^-2 m​

Step-by-step explanation:

"c" is the SI prefix for "centi-" meaning one hundredth, or 10^-2. Then ...

  50 cm = 50×10^-2 m

Answer:

Commutative Property of Multiplication. Associative Property of Multiplication.

Step-by-step explanation:

Answer:

x= 0/-8

y= 0/5

Step-by-step explanation:

Brain-List?

Answer:

a=92  b=37  c=51

Step-by-step explanation:

a= 7x-6

b=3x-5

c=4x-5

7x-6+3x-5+4x-5=180

14x-16=180

14x=196

x=14

Answer:

the first one on the list because it said refect

Answer:

They have room for 166 more people.

Step-by-step explanation:

485 - 319 = 166

Answer:

166 people.

Step-by-step explanation:

If there is room for 485 and 319 people are coming, just subtract. 485-319=166.

Answer: 1 625.5cm or 16.255m

Step-by-step explanation:

convert all m measurements into cm by multiplying, add all the cm measurements together. this equation is 12.5cm+ 475cm+ 245cm+ 587.5cm+ 305.5cm= 1625.5cm.

convert the cm measurements back to m measurements (i only assume because you said . m at the end)

The total amount of fabric she cut is  17.255 m .

The total length of the fabric can be determined by adding the length of the different pieces. Addition is determining the total value or summing two or more numbers.

In order to add the different lengths, the lengths have to be in meters.

100cm - 1 meter

475cm = 475 / 100 = 4.75m

245cm = 245 / 100 = 2.45m

Now that all the lengths are in the same units, they can now be added together; 1.125 + 5.875 + 3.055 + 4.75 + 2.45 = 17.255 m

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Answer:

The answer is 9

Step-by-step explanation:

brainiest because im in a brother war please

Answer:

81/4

Step-by-step explanation:

Given the equation x^2 – 9x + 38 = 0

Subtract 38 from both sides

x^2 – 9x + 38 - 38= 0 - 38

x^2 - 9x = -38

Next is to complete the square, to do this  we will add the square of the half of coefficient of x to both sides as shown;

Coefficient of x is - 9

Half of -9 will be (-9/2)

Squaring the result will give (-9/2)² = 81/4

Hence the number that would have to be added to "complete the

square" is 81/4 to have;

x^2 - 9x + 81/4= -38 + 81/4

(x-9/2)² = -38 + 81/4

Hence the required value is 81/4

Answer:

x=1,-3

Step-by-step explanation:

Answer:

A i guess

Step-by-step explanation:

23 + 4 ⋅ 8

I got the answer 55 so see what is close to 55

Answer:

2 ^ 3 + 4 * 8 = 40

Step-by-step explanation:

So going by the order of operations, PEMDAS,

There are not parenthesis so we can skip that part.

exponents on the other hand we have 2^3. Don't be fooled. It's not 2 * 3. What you have to do is multiply 2 by itself 3 times. So 2 * 2 * 2 = 8. Step one Done!

The M in PEMDAS is multiplication! So we solve that part next! 4 * 8 = 32. Step 2 Done!

Now for the final step, for A in PEMDAS you have to add both sums together. 8 + 32 = 40

Final answer: 40

I hope this helps! <3

Answer:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

Answer:1920

Step-by-step explanation:

Sorry if this is not accurate but here is how your gonna do it

Find the constant speed per hour (The quotient is 80) then multiply that by 24 which you will get 1920 Hopefull this helps and its correct :D

Answer:

a

 [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

b

  [tex]N = 25[/tex]

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      [tex]\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%[/tex]

=>    [tex]\frac{\alpha }{2} = 2.5 \%[/tex]

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      [tex]N = 1000 * \frac{\alpha }{2}[/tex]

=>   [tex]N = 1000 * 0.025[/tex]

=>   [tex]N = 25[/tex]

Answer:

Step-by-step explanation:

Hey

Answer:

35 and 25.

Step-by-step explanation:

x+y=60

x-y=10

Subtract eq1 by eq2

x-x+y-(-y) = 60-10

2y=50

y=25.

x+25=60

x=35

Hope this helps :D

#Team Rainbows

Answer:

-$5.50>x>$20

Elena has more than -$5.50 but less than $20.

Step-by-step explanation:

Ok, so the question says that Elena has -$5.50 in her account. That means that she owes someone ( the bank) $5.50.

Elena then mows the lawn which may have paid off her debt. But we don't know that for sure.

All they give us is that Elena has less than $20 in her bank account.

So your answer may look like this:

-$5.50>x>$20

Elena has more than -$5.50 but less than $20.

Elena earned, amount more than -$5.50 and less than $20 by mowing the lawn.

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

For example, x>3 (x should be greater than 3)

Given,

Account balance of Elena with her parents = -$5.50.

Which means she is in debt of $5.50.

Elena then  adds a certain amount of money to her balance by mowing the lawn,

which may have paid off her debt, that is not sure.

But,

Account balance of Elena after mowing the lawn is more than - $5.50 less than $20.

Let the money Elena earned by Elena earned mowing the lawn  = x

Then,

Possible amount she earned mowing the lawn = -$5.50 < x <$20.

Hence, Possible amount Elena earned mowing the lawn is

between -$5.50 and $20 = -$5.50 < x < 20.

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Answer:

1pound of granola= $3.25

g pound of granola=g*3.25

=3.25g$

1 pound of flour = 0.74$

f pound of flour = f*0.74

= 0.74f$

The expression to determine the total cost of buying the above items= (3.25g+0.74f)

Step-by-step explanation:

Answer:

-4, 6

Step-by-step explanation:

[tex]2x^2 -4x - 48 = 0 \\ \\ 2( {x}^{2} - 2x - 24) = 0 \\ \\ {x}^{2} - 2x - 24 = 0 \\ \\ {x}^{2} - 6x + 4x - 24 = 0 \\ \\ x(x - 6) + 4(x - 6) = 0 \\ \\ (x - 6)(x + 4) = 0 \\ \\ x - 6 = 0 \: \: or \: x + 4 = 0 \\ \\ x = 6 \: \:o r \: \: x = - 4 \\ \\ x = - 4, \: \: 6[/tex]

Answer:

Love and support from parents and respect parents

Being a positive role model to everyone and understands friends weaknesses

Compares body to others and obsessed about weight loss

Communicate well with parents and cooks food and do chores

Guidance on decision making in whatever situation and positive friendship

Knowledgeable on teenage health issues and admits faults

Step-by-step explanation:

I figured this out by matching the statements to the correct ending and if there was any I was unsure on I worked that out afterwards.

Answer:

1 1/8  2 1/4 - 1 1/8= 1 1/8

Step-by-step explanation:

Hoped I helped Im Eve btw. Have an amazing day and consider marking this as brainliest if you do thank you in advanced! :3

Answer:

OK

Step-by-step explanation:

LOL SO WHAT I . DID

IS ik the qudrents and just ask siri maybe she will help but i got qudrent 3

Answer:

-14

Step-by-step explanation:

(-6)-(-2)= -4

(-10)-(-6)= -4

therefore there is a 4 number Gap between them:

(-10) + (-4) = -14

The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

= Probability of 2 + Probability of 3 + Probability of 4

= 0.20 + 0.35 + 0.28

= 0.83

Hence, The probability that a cat will have at most 4 kittens is to be considered as the 0.83.

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The probability that a cat will have at most 4 kittens is 0.83

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the number of kittens in the litter be = A

Now , when A = 2

The probability distribution is = 0.20

Now , when A = 3

The probability distribution is = 0.35

Now , when A = 4

The probability distribution is = 0.28

Now , when A = 5

The probability distribution is = 0.15

And , the probability that a cat will have at most 4 kittens is calculated by

P ( x ≤ 4 ) = P ( 2 ) + P ( 3 ) + P ( 4 )

               = 0.20 + 0.35 + 0.28

               = 0.83

Therefore , the probability that a cat will have at most 4 kittens is 0.83

Hence , The probability that a cat will have at most 4 kittens is 0.83

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