How do you solve this??

21 a(little 6) b(little 5)
————————————
7 a(little 3) b

The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Answer:

6 cups.

2 3/4 X 3 1/3

Step-by-step explanation:

Answer:

C is the correct answer.

If you need an explanation tell me.

More people like the action movies.

Comparison of two numbers, means to examine the differences between numbers, quantities or values to decide if it is greater than, smaller than or equal to another quantity.

According to the given question

We have a data in which

Number of people who liked action movie = 78

Number of people who liked action movie = 60

Number of people who disliked the action movie = 22

And, number of people who disliked the drama movie = 40

From the given data we conclude, that action movie is liked by more people as compared to drama movie because 78 > 60.

Hence, the action movie is better received by the audience than the drama.

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Answer:

(100/500) *200 =40%

Step-by-step explanation:

Answer:

(-3 + -2y)(5 + -1y) = 0

Step-by-step explanation:

Simplifying

(y + -5)(2y + 3) = 0

Reorder the terms:

(-5 + y)(2y + 3) = 0

Reorder the terms:

(-5 + y)(3 + 2y) = 0

Multiply (-5 + y) * (3 + 2y)

(-5(3 + 2y) + y(3 + 2y)) = 0

((3 * -5 + 2y * -5) + y(3 + 2y)) = 0

((-15 + -10y) + y(3 + 2y)) = 0

(-15 + -10y + (3 * y + 2y * y)) = 0

(-15 + -10y + (3y + 2y2)) = 0

Combine like terms: -10y + 3y = -7y

(-15 + -7y + 2y2) = 0

Solving

-15 + -7y + 2y2 = 0

Solving for variable 'y'.

Factor a trinomial.

(-3 + -2y)(5 + -1y) = 0

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

Answer:

24 frames per second

Step-by-step explanation:

Answer:

First, let's establish a few facts based on your question:

1. The food costs $7 per pound.

2. An adult animal eats x pounds of food per day.

3. There are other costs totaling $15,000 per week.

4. We are assuming a 7-day week.

Now, let's write an expression for the total cost of keeping an adult animal for one week.

The food cost for one day for an adult animal is 7x dollars (because the animal eats x pounds of food per day, and each pound costs $7).

So, an adult animal's food cost for one week (7 days) is 7x * 7 dollars.

Plus the other expenses of $15,000 per week, the total cost for one week becomes:

7x * 7 + 15,000

This simplifies to:

49x + 15,000

This expresses the total cost of keeping an adult animal for one week.

The baby animal usually eats less than an adult. We can't establish an exact formula if we don't have a specific proportion or ratio. Let's assume a baby animal eats half the amount of an adult animal (0.5x); you could adjust this as per the actual ratio for your specific animal.

So, a baby animal's food cost for one day is 7*0.5x dollars.

A baby animal's food cost for one week (7 days) is 7*0.5x * 7 dollars.

So, adding the other expenses of $15,000 per week, the total cost for one week becomes:

7*0.5x * 7 + 15,000

This simplifies to:

24.5x + 15,000

This would be the expression for the total cost of keeping a baby animal for one week, assuming it eats half the amount of an adult. You can adjust the 0.5 factor to match your specific animal's actual food consumption ratio of the baby to the adult.

Answer:

So we will use combinations, as it does not matter what order they get chosen in.

The combinitoric that you will plug in to your calculator is: nCr(12,7)

Therefore, the answer is 792

Answer:

Step-by-step explanation:

Area=πr²

area= π(12)²

area=452.4cm²

\(P(t)=3400e^{0.04t}\implies 68000=3400e^{0.04t}\implies \cfrac{68000}{3400}=e^{0.04t} \\\\\\ 20=e^{0.04t}\implies \log_e(20)=\log_e(e^{0.04t})\implies \log_e(20)=0.04t \\\\\\ \ln(20)=0.04t\implies \cfrac{\ln(20)}{0.04}=t\implies 74.89\approx t\)

that's about 74 years and 325 days more or less.

based on the exponential equation which is really a continuously compounding equation with an initial value of 34000 in 1994, so 74 years later that'd be 1994 + 74 = 2068, then we add the 325 days to that, well, that's pretty much in November in 2069.

Answer:

2x - 2

Step-by-step explanation:

There are two steps to take here.  First add together the -3 + 2 in the brackets:

2(x - 3 + 2)

= 2(x - 1)

Now use the distributive property and multiply each term in the brackets by two:

2(x - 1)

= 2x - 2

And you now have it in simplest form.

Work Shown:

Plug x = 4.3 into the equation given

ŷ = 2.6 − 3.1x

ŷ = 2.6 − 3.1(4.3)

ŷ = 2.6 − 13.33

ŷ = -10.73

Note: The symbol ŷ is read as "y hat". It's used to estimate the y value when it comes to regression equations.

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

33 bags and 4 cookies remaining

Step-by-step explanation:

268/8=33.5

Now do reverse to find the remainder ammount of cookies

33*8=264

Since each bag contains 8 cookies, there is...

33 bags and 4 cookies remaining

to find the remainder ammount of cookies you subtract 268-264 and you have 4 cookies left over.

Answer: James has 33 bags and 4 cookies remaining

Step-by-step explanation:

Answer:

  1.81530×10⁴

Step-by-step explanation:

Keep the first 6 digits of the mantissa:

  1.81530×10⁴

__

Here, the 7th digit is less than 5, so it and all to the right are dropped.

Answer:

the answer is 0.14285714285 theres whole answer because i dont know if u need it rounded or not

Step-by-step explanation:

the bitly stuff is not real

Answer:

Step-by-step explanation:

hello :

use identity : a²-b²=(a-b)(a+b)

(2x+1) (2x-1)= (2x)²-1 =4x²-1

Answer:

one: 9

Two: D

Step-by-step explanation:

One

The symbol used is x≥8 so 8 is included in the function part. That would mean that F(x) = 9

Two

The value you need to use is -4x + 3. That's because -2≤x and the symbol ≤ makes - 2 inclusive.

-4(-2) + 3 = 8 + 3 = 11

3a

The function is decreasing over -4x + 3

It goes from 11 to -29 roughly. That means it's going from a positive to negative number. Definitely decreasing

3b

The function is a constant when x≥8. The value of the function is 9 no matter what x is.

3c

The function is increasing from - 2x to 8 which is going from -9 to 11  

Answer:

the mean is 6

Step-by-step explanation:

5+5+8= 18

then divide 18 by 3 bc there is 3 numbers and u get 6

hope this helps

Answer:

S= 450 C=250 both=$700

Step-by-step explanation:

S=200+50w

C=100+30w

w=5

Answer:

Initial Value: 19,900

Value after 11 years: 7953

Explanation:

The initial value of the car is its value at t =0. Therefore, to find this initial value, we put in t = 0 to get

Hence, the initial value is $19,900.

Now, to find the value after 11 years, we put t = 11 into the equation and get

which gives (rounded to the nearest dollar)

which is our answer!

Hence, the value after 11 years is $7953.

Formula: r = C/2π

Solve with the given values.

r = 452.16/2(3.14)

r = 452.16/6.28

r = 72

Therefore, the radius is approximately 72 units.

Best of Luck!

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

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