Macs farm has a total of 18 horses and 27 cows. what is the ratio of horses to cows in simplest form?

As x increases without bound, the graph of f(x)  approaches y=0 increases without bound .

We have function [tex]f(x)=3(2.5)^x[/tex]

From the graph we can see that as x decreases without bound  the graph of f(x) approaches y=0.

Also the exponential function in the graph is approaching y=0 as x decreases on the left side of the curve.

Here as the exponential function here the power is x variable and the exponential function cannot be negative for any value of x.

Therefore as x increases without bound, the graph of f(x)  approaches y=0 increases without bound .

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Step-by-step explanation:

i took the test :)

Given that b is the number of calories that can be burned using the stationary bike, and the burning rate is 5 cal / min, therefore:

b = 5 t

where t is the time spent on the stationary bike

Answer:

B=5t

Step-by-step explanation:

Answer: Option 'A' is correct.

Step-by-step explanation:

since we have given a line AB and CD such that AB║CD,

And a transversal say 'l' cut the two parallel lines

And we know that when a transversal cuts two parallel lines we get linear pair and corresponding angles

But relation between angle 'a' and angle 'd' is vertically opposite angles.

So, Option 'A' is correct.

After solving the equation, the equivalent equation obtained which has an infinite solution will be equal to -2(x + 5). Hence, option D is correct.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation in the question,

-5(x + 2) + 3x

Now, solve the equation,

-5x - 10 + 3x

= -5x + 3x - 10

= - 2x - 10

So, the equivalent equation will be,

-2(x + 5), it has an infinite solution because it is the same equation.

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At a mean of 95 pounds per passenger and standard deviation of 35 pounds, multiplying this with the total number of passengers = 200, results in:

absolute mean = 95 * 200 = 19,000

absolute std dev = 35 * 200 = 7,000

Calculating for the z score:

z = (x – u) / s

where x is sample value = more than 20,000; u is the sample mean = 19,000; s is std dev = 7,000

z = (20,000 – 19,000) / 7,000

z = 0.143

From the distribution tables,

P (z = 0.14) = 0.5557

Therefore a 55.57% chance that it will be more than 20,000 pound limit

Final answer:

Using the Central Limit Theorem, we calculate the probability that the total weight of passengers' baggage exceeds 20,000 pounds for an airplane with 200 passengers to be approximately 0.0217.

Explanation:

To solve this problem, we use the Central Limit Theorem which states that if we have a large enough sample size, the distribution of the sample means will be approximately normally distributed regardless of the original distribution's shape. Given that the mean weight of an individual passenger's baggage is 95 pounds with a standard deviation of 35 pounds, and that there are 200 passengers, we can calculate the mean and standard deviation of the total baggage weight.

The mean total weight, μtotal, is calculated as the product of the mean individual weight and the number of passengers, so μtotal = 95 pounds × 200 = 19,000 pounds. The standard deviation of the total weight, σtotal, is calculated as the standard deviation of the individual weight multiplied by the square root of the number of passengers, so σtotal = 35 pounds × √200 ≈ 494.97 pounds.

Using the standard normal distribution, we find the z-score for the probability that the total weight exceeds 20,000 pounds by subtracting the mean from the limit and dividing by the standard deviation: z = (20,000 - 19,000) / 494.97 ≈ 2.02.

Looking up this z-score in a standard normal table or using a calculator, we find that the probability of the total baggage weight exceeding 20,000 pounds is approximately 0.0217.

A protractor is preferred over a ruler when measuring angles, especially in geometric shapes or when dealing with rotational aspects. While a ruler is great for measuring lengths and distances, it can't accurately measure angles.

For example, let's say you want to measure the angle between two lines on a piece of paper. A ruler can only give you an approximation by comparing lengths, but a protractor will give you an exact measurement of the angle in degrees.

To use a protractor, align the center hole of the protractor with the vertex of the angle. Then, align one side of the angle with the zero-degree mark on the protractor. Finally, read the number where the second side of the angle intersects the protractor scale. This gives you the precise measurement of the angle.

In conclusion, when dealing with angles, a protractor is the preferred tool for accurate measurements, providing exact angles in degrees.

The dimensions of the one whose area is largest is 39 by 39

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(L + W)

L is the length of the rectangle

W is the width

Given that the perimeter is 156, hence;

2(L + W) = 156

2L + 2W = 156

L + W = 78

W = 78 - L

The area of the rectangle is expressed as:

A = LW

A = L(78-L)

A = 78L - L^2

To get the dimensions of the one whose area is largest, dA/dL = 0

dA/dL = 78 - 2L

0 = 78 - 2L

2L = 78

L = 78/2

L = 39

Recall that 2(L+W) = 156

2(39 + W) = 156

39 + W = 78

W = 78 - 39

W = 39

Hence the dimensions of the one whose area is largest is 39 by 39

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divide 18 by 3

18 / 3 = 6

 there are 6 girls on the team

Final answer:

To find the other number when the product of two numbers is 40 and one of the numbers is 5/11, we divide 40 by 5/11 to solve for the unknown number. The other number is found to be 88.

Explanation:

The question asks to find the other number when the product of two numbers is 40 and one of the numbers is given as 5/11. To do this, we can set up an equation where the product of 5/11 and the unknown number (which we can call 'x') is equal to 40.

The equation would be: (5/11) × x = 40. To solve for x, we need to do some algebraic rearrangement by dividing both sides of the equation by 5/11. This brings x into the numerator on the left side and shifts the 5/11 to the denominator on the right side. Therefore, we get x = 40 × (11/5).

Next, we multiply 40 by 11/5. This calculation results in x = 88. Thus, the other number is 88.

The example of a function is:

  The price of a piece of cloth and the length of the cloth.

We know that a function is a relation in which each element of a set is mapped to a single element of the other set.

i.e. an element has just one image.

1)

The time it takes to mow a lawn and the age of the person mowing the lawn.

This is not a example of function since, the time taken by two person's of different age may be same to mow a lawn.

This means that there is  more than one image of a single element i.e. time.

2)

The distance to school and the time you spend at school.

The time one spend at school at different days may be different even if the distance to school is same.

3)

The price of a movie ticket and the height of the customer.

Two person's with different height will buy a movie ticket at the same cost.

Hence, this relation won't be a function.

4)

The price of a piece of cloth and the length of the cloth.

As we know that the price of a cloth is fixed according to the length.

Hence, the relation is a function.

( As corresponding to each price we have a unique length if a piece of clothing )

Answer:

Associative property and commutative property true for addition, not true for subtraction.

Step-by-step explanation:

Associative property and commutative property true for addition.

i) a + (b + c) = (a + b) + c  ---> Associative property of addition

ii) a + b = b + a --> commutative property of addition.

These properties not true for subtraction.

That's the reason Juan used additive inverse before applying these property.

Hope this will helpful.

Thank you.

         [tex]\bold{ a + (b + c) = (a + b) + c } \to[/tex] Associative property of addition

         [tex]\bold{a + b = b + a } \to[/tex] commutative property of addition.

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The total commission that she will earn on the sale of these two vehicles is $4,250.