A map has a scale of 1/2 inches=16 miles the distance between two parks on the map is 2 3/4 inches how many miles apart are the parks

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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The Probability of guessing the right combination in one try is approximately 0.0007716, or 0.07716%.This probability is extremely low, indicating that it is highly unlikely to guess the correct combination by chance in a single attempt.

The probability of guessing the right combination in one try, we need to calculate the total number of possible combinations and the number of successful outcomes.

In this case, we have 4 dials, each with 6 letters. Since each dial can be set to one of the 6 letters, the number of possible combinations for each dial is 6.

To calculate the total number of possible combinations for the lock, we need to multiply the number of options for each dial. In this case, since we have 4 dials, the total number of combinations is:

6 * 6 * 6 * 6 = 6^4 = 1,296

So, there are 1,296 possible combinations in total.

Now, to calculate the probability of guessing the right combination in one try, we divide the number of successful outcomes (which is 1, as there is only one correct combination) by the total number of possible outcomes:

Probability = Number of successful outcomes / Total number of possible outcomes

Probability = 1 / 1,296

Simplifying this fraction, we get:

Probability = 1 / 1,296 ≈ 0.0007716

Therefore, the probability of guessing the right combination in one try is approximately 0.0007716, or 0.07716%.

This probability is extremely low, indicating that it is highly unlikely to guess the correct combination by chance in a single attempt. Locks with multiple dials and options are designed to provide a high level of security by creating a vast number of possible combinations, making it difficult to guess the correct one.

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The presence of these organic elements, according to scientists, is insufficient evidence for the existence of ancient life on Mars since the molecules been created via other non-living processes. This assertion true.

Everything that includes carbon compounds produced by living things is considered to be organic matter. Lawn trimmings, leaves, twigs, branches, moss, algae, lichens, any animal parts, sewage, dust, insects, earthworms, and bacteria are just a few examples of what it includes.

Carbohydrates, lipids, protein, and nucleic acids are the four main kinds of organic substances that are found in all living organisms.

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Answer:

w = 55 yards

Step-by-step explanation:

P = 2*(l + w)

P - perimeter, l - length, w - width

294 = 2*( 92 + w)

294/2 = 92 + w

147 = 92 + w

w = 147 - 92

w = 55

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

The answer are

B and C

Step-by-step explanation:

r=d/2=12/2=6

r=16/2=8

Circumference=2pir

C=2×6pi

C=12pi

C=2pir

C=2×8pi

C=16pi

Answer:

23.2 points

Step-by-step explanation:

If the question is how many points did he earn in round 3, this is the answer.

Hope this helps, have a great day :)

Answer:

The answer is 10

The number of tickets that will be sold is 5560.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets sold will be = 94520/17 = 5560.

Hence, the number of tickets that will be sold is 5560.

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Since the albatross flies according to the function d =50t

This is a proportional relationship since it is a linear equation without a linear coefficient

Then the constant of proportionality, let's call it k, is 50

Data for the question :

102.05 99.85 112.3 97.15 111.23 105.37 105.64 106.5 102.97 107.82 106.36 111.24 107.28 114.14 106.28 106.96 98.25 111.55 107.75 101.02 101.12 97.7 97.66 100.54 115.77 112.91 111.04 112.15 102.87 101.14 107.13 108.56 109.56 103.57 108.68 104.59 116.74 116.22 100.22 103.97 111.2 109.34 115.78 101.59 107.93 104.23 96.25 103.84 102.47 102.96 99.26 101.42 108.58 107.69 99.88 102.71 111.25 99.4 117.04 106.35 110.44 102.34 107.25 107.63 105.2 109.14 115.54 101.51 108.49 112.32 109.27 97.54 102.46 105.94 109.42 111.05 102.63 106.99 102.03 108.84 118.8 108.64 95.35 105.47 104.45 102.15 111.4 108.27 104.82 108.4 109.05 116.11 103.7 121.2 99.62 102.81 109.56 103.35 113.02 103.79

Answer:

Range = 25.35

Variance = 29.46

Standard deviation = 5.43

The variation in price of Prozac is high

Step-by-step explanation:

The range of the data :

Maximum - Minimum.

121.2 - 95.35 = 25.35

The variance, s :

s² = Σ(X - m²) / n - 1

Mean, m = Σx / n

X = individual data point

m = mean of data

n = sample size

Using a calculator of save time and ensure accuracy :

s² = 29.45522

The standard deviation, s

s = sqrt(variance)

s = sqrt(s²)

s = sqrt(29.45522)

s = 5.42726.

The range, variance and standard deviation, all measure the degree of variation in a dataset. The values of these statistical measure obtain for the price of 1 product across different pharmaceutical stores, suggests thatvthe variation in price is high;

With a range of about 25.35 and standard deviation of 5.43

Answer:

8

−

2

+

1

2

8x-2x+12

8x−2x+12

Simplify

1

Combine like terms

8

−

2

+

1

2

{\color{#c92786}{8x}}{\color{#c92786}{-2x}}+12

8x−2x+12

6

+

1

2

{\color{#c92786}{6x}}+12

6x+12

Solution

6

+

1

2

Step-by-step explanation:

^^

So, Gina's farm produced approximately 471.8 tons of sweet potatoes this year. Rounded to the nearest whole number, this is 472 tons.

When we talk about an increase, we are referring to a change in quantity or value that is greater than the original amount. In other words, an increase means that something has gotten bigger, larger, or more than it was before.

Given by the question.

To find out how much sweet potatoes Gina's farm produced this year, we need to add 40% of last year's production to the amount produced last year:

40% of 337 tons = 0.4 x 337 = 134.8 tons

Adding this to last year's production gives:

337 + 134.8 = 471.8 tons

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The different sums are possible are 18.

As, the number of different sums possible is given by the equation:

Number of different sums = n x m

In other words, we multiply the number of outcomes for the first spinner by the number of outcomes for the second spinner to get the total number of unique sums.

So, the different sums are possible

= 2 x 3 x 3

= 18

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Answer:

Step-by-step explanation:

The first step is to distribute the 2m and 3 to (\(m^2-2m+2\)), like so:

\((2m+3)(m^2-2m+2)\)

\(2m^3-4m^2+4m+3m^2-6m+6\)

Then, add like terms:

\(2m^3 -m^2 -2m + 6\)

We can solve this type of question using trigonometric functions. Here, we use sine of the angle of take-off with the horizontal runway.

Thus, the distance that the plane has traveled is equal to 2880 ft.

The equation represents the image of the line y = 3x +1 is y' = 3(x - 3) +1.

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .

Given:

The transformation that translates function y = f(x) by h units right and k units up is

y' = f(x -h) +k

We have y= 3x+ 1

So, After translating 3 units to x axis the function will become

y' = 3(x - 3) +1

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Reduce the expression, if possible, by cancelling the common factors.

Exact Form: \( \:- \frac{3}{10} \\ \)

Decimal form\( \: \:- 0.3\)

Answer:

i

Step-by-step explanation:

Answer:

did you forget a picture?

Step-by-step explanation:

if you did, either add it in the comments, or make a new question

As per the matrix, the three linearly independent eigenvectors are 0, 0.05 and 1.

Now let's consider the given matrix A. We are asked to find three linearly independent eigenvectors and their corresponding eigenvalues. Linearly independent eigenvectors are important because they allow us to represent any vector in the space as a linear combination of these eigenvectors.

The first eigenvector v1 is -1, and it corresponds to the eigenvalue λ1 = 0. To check if this is indeed an eigenvector, we multiply it by A and check if the resulting vector is a scalar multiple of v1. In this case, Av1 = 0v1, which means that v1 is indeed an eigenvector with eigenvalue λ1 = 0.

The second eigenvector v2 is also -1, and it corresponds to the eigenvalue λ2 = 0. Again, we multiply it by A and check if the resulting vector is a scalar multiple of v2. Av2 = 0v2, which means that v2 is an eigenvector with eigenvalue λ2 = 0.

The third eigenvector v3 is 0, and it corresponds to the eigenvalue λ3 = 1. We repeat the same process and check if Av3 is a scalar multiple of v3. In this case, Av3 = 0.05v3, which satisfies the given condition of having all entries with absolute value smaller than 0.05. Therefore, v3 is an eigenvector with eigenvalue λ3 = 1.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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Answer: 7200 + 100c < 27500

Step-by-step explanation:

27500 kilograms is the maximum weight that the container can hold; the limit

7200 kilograms are said to have been loaded already

We want to find how many 100 kilogram crates (c) can still be loaded with the already loaded 7200 kilograms

The amount of 100 kilogram crates is c plus the previous added amount of 7200 kilograms has to be less than 27500 kilograms because that is the maximum amount of weight the shipping container can hold.

Answer:

3.8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+5^2=6^2

a^2+25=36

a^2=36-25

a^2=11

a=3.3

but on the answers provided write 3.8 because its close

Answer:

the solution to the equation is m = 28/3, or approximately 9.3333

Step-by-step explanation:

To solve this equation, you need to get the variable, in this case "m," by itself on one side of the equation. To do this, you can start by isolating the fraction on the left side of the equation. You can do this by multiplying both sides of the equation by 2/3, which will cancel out the 2/3 on the left side:

3m/2/3 = 7

(2/3) * (3m/2/3) = (2/3) * 7

3m/2 = 7 * (2/3)

3m/2 = 14/3

Next, you can multiply both sides of the equation by 2 to get rid of the fraction on the left side:

(2) * (3m/2) = (2) * (14/3)

3m = 28/3

Finally, you can simplify the right side of the equation by dividing both sides by 3 to get the final solution:

(3m) / 3 = (28/3) / 3

m = 28/3

Therefore, the solution to the equation is m = 28/3, or approximately 9.3333.

Answer:

Maybe m = 14/9

Maybe m = 14

Step-by-step explanation:

It is not clear what you mean by the fraction on the left side.

Do you mean

3m/(2/3) = 7  ?

If so:

3m = 7 × 2/3

3m = 14/3

m = 14/9

Do you mean

(3m/2)/3 = 7   ?

If so:

3m/2 = 21

m = 21 × 2/3

m = 14

Do you mean something else?