There are an average of 45 buffalos for every 125 acres in the Canadian wilderness. How many buffalos are there in 150 acres?

Answer: 14

Step-by-step explanation:

\(f(x) = 3x^2 - 5x\)

\(518 = 3x^2 - 5x\)

\(0 = 3x^2 - 5x - 518\)

Use Quadratic formula with a = 3, b = -5, c = -518 to get:

x = 14, and -37/3

Since the number of rows cannot be negative, the answer must be positive. So there are 14 rows.

Answer:

Answer should be 248.

Step-by-step explanation:

Multiple 62 by 4.

Answer:

each part will have about 7.9 acres and the prime number is 53

Step-by-step explanation:

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

Answer:

Hop it's helpful!

Step-by-step explanation:

check my attachment for detailed explanation!

The actual errors for Exercise 1 can be computed by subtracting the calculated values from the true values of the functions. For example, the actual error for sin(1.1) can be found by subtracting sin(1.1) = 0.8912 from the calculated value of 0.8890. The actual error in this case is 0.0022.

Error bounds for these functions can be found using the error formulas. For the function f(x) = sin x, the error bound can be found using the formula |E| <= M|x-a|, where M is the maximum value of the first derivative of the function, and a is the value of x at which the error is computed. In this case, M = 1 and a = 1.1, so the error bound is |E| <= 1 * |1.1 - 1.1| = 0.  

For the function f(x) = ex - 2x2 + 3x - 1, the error bound can be found using the formula |E| <= M|x-a|2, where M is the maximum value of the second derivative of the function, and a is the value of x at which the error is computed. In this case, M = e and a = 1.1, so the error bound is |E| <= e * |1.1 - 1.1|2 = 0.

Learn more about errors:

https://brainly.com/question/29481949

#SPJ11

Answer: The board is 54 inches wide

The width of a whiteboard, in inches, is 54.

Multiplication is a type of mathematical operation. The repetition of the same expression types is another aspect of the practice.

For instance, the expression 2 x 3 indicates that 3 has been multiplied by two.

We know that the width of the whiteboard is 4.5 feet.

However, if we need to express this width in inches, we have to convert feet to inches, as the two units are not directly comparable.

There are 12 inches in a foot.

Therefore, to convert a value in feet to inches, we can simply multiply the value by 12. In other words, 1 foot is equal to 12 inches.

So, to convert the width of the whiteboard from feet to inches, we can simply multiply the width (4.5 feet) by the conversion factor of 12 inches/foot as follows:

4.5 feet × 12 inches/foot = 54 inches

Therefore, the whiteboard is 54 inches wide.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ2

Parrots are tropical birds. These parrots survive, while most others cannot, due to a variation that allows these parrots to live in colder climate.

Parrots are found on all tropical and subtropical continents and regions including Australia and Oceania, South Asia, Southeast Asia, Central America, South America, and Africa. There are some important facts of Parrots are they can live over 100 years and also speak in like human voice. Parrots weight around 7 pounds.

About the diet of parrot, but all species are vary too what are available in the environment in which they live. Parrots are mostly eating fruits, nuts, chilly, grasses, leafy vegetation and all types of food.

And it also for help us to convey any message and about any story teller.

Learn more about Tropical birds at:

https://brainly.com/question/3195259

#SPJ4

90 different two-scoop ice cream cones we can make.

To find how many different two-scoop ice cream cones can you make:

Therefore, 90 different two-scoop ice cream cones we can make.

Know more about permutations and combinations here:

https://brainly.com/question/4658834

#SPJ4

Answer:

4

Step-by-step explanation:

The area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

We have to find the area of the region enclosed by one loop of the curve.

The given curve is:

r = sin(10θ)

Consider the region r = sin(10θ)

The area of region bounded by the curve r = f(θ) in the sector a ≤ θ ≤ b is

A = \(\int^{b}_{a}\frac{1}{2}r^2d\theta\)

Now to find the area of the region enclosed by one loop of the curve, we have to find the limit by setting r=0.

sin(10θ) = 0

sin(10θ) = sin0   or    sin(10θ) = sinπ

So θ = 0             or      θ = π/10

Hence, the limit of θ is 0 ≤ θ ≤ π/10.

Now the area of the required region is

A = \(\int^{\pi/10}_{0}\frac{1}{2}(\sin10\theta)^2d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\sin^{2}10\theta d\theta\)

A = \(\frac{1}{2}\int^{\pi/10}_{0}\frac{(1-\cos20\theta)}{2}d\theta\)

A = \(\frac{1}{4}\int^{\pi/10}_{0}(1-\cos20\theta)d\theta\)

A = \(\frac{1}{4}\left[(\theta-\frac{1}{20}\sin20\theta)\right]^{\pi/10}_{0}\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin20\frac{\pi}{10})-(0-\frac{1}{20}\sin20\cdot0)\right]\)

A = \(\frac{1}{4}\left[(\frac{\pi}{10}-\frac{1}{20}\sin2\pi)-(0-\sin0)\right]\)

A = 1/4[(π/10-0)-(0-0)]

A = 1/4(π/10)

A = π/40

Hence, the area of the region enclosed by one loop of the curve r = sin(10θ) is π/40.

To learn more about area of enclosed curve link is here

brainly.com/question/29062159

#SPJ4

The y/x = 7/10 equation represents a proportional relationship that has a constant of proportionality equal to 0.7.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality. A set of such values is called a solution set to the considered equation or inequality.

The usual representation of a proportional relationship is:

 y = kx

You want the constant of proportionality (k) to be 7/10, so this is:

 y = (7/10)x

Dividing by x gives the equivalent relationship:

 y/x = 7/10

Hence, The y/x = 7/10 equation represents a proportional relationship that has a constant of proportionality equal to 0.7.

To learn more about the inequality visit,

brainly.com/question/16339562

#SPJ4

Answer:

a. 8 y/s; divide 40(distance) by 5(time)

b. 1/8 2/16 3/24 4/32 5/40 6/48 7/56; multiply speed and time ex. 8×1=8; 8×2=16; 8×3=24 and so on

c. 80 yards; multiply time and distance 8×10

Answer:

I think that the answer is AB+BC=AC

For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

As given in the question,

Given:

Line segment AB with coordinates A( 4,5) and B(12, 9)

Line segment AB divided by point P in the ratio AP : PB = 3: 1

Let (x ,y) be the coordinates of point P .

Coordinates of A(4,5) = ( x₁, y₁)

B(12,9) = (x₂ , y₂)

Ratio m : n = 3 : 1

Coordinates of point P is given by:

x = (mx₂ + nx₁)/ ( m+ n)

  = [3(12) + 1(4)] / (3+1)

  = ( 36 +4)/ 4

  = 40 /4

  = 10

x = (my₂ + n y₁)/ ( m+ n)

  = [3(9) + 1(5)] / (3+1)

  = ( 27 +5)/ 4

  = 32/4

  = 8

P(x ,y) = P(10, 8)

Therefore, For the line segment AB with coordinates A( 4,5) and B(12, 9) divided by point P in the ratio AP : PB = 3 : 1 then coordinates of P are ( 10,8).

Learn more about line segment  here

brainly.com/question/25727583

#SPJ1

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (3, - 6) into the partial equation

- 6 = 6 + c ⇒ c = - 6 - 6 = - 12

y = 2x - 12 ← equation of line

Answer:

y=2x-12

Step-by-step explanation:

slope=m=y-(-6)/x-3

2=y+6/x-3

y+6=2(x-3)

y=2x-12

The probability of getting 2 or more heads in 5 successive coin tosses is 13/16 or approximately 0.8125.

To calculate the probability of getting 2 or more heads in 5 successive tosses of a fair coin, we need to consider all the possible outcomes that satisfy this condition.

The total number of possible outcomes when tossing a coin 5 times is 2^5 = 32, as each toss has 2 possible outcomes (heads or tails).

To find the probability of getting 2 or more heads, we need to calculate the probability of the complementary event, which is getting 0 or 1 head and subtract it from 1.

The probability of getting 0 heads (all tails) is (1/2)^5 = 1/32.

The probability of getting 1 head and 4 tails is (5 choose 1) * (1/2)^5 = 5/32.

Therefore, the probability of getting 2 or more heads is 1 - (1/32 + 5/32) = 26/32 = 13/16.

For more such questions on probability

https://brainly.com/question/25839839

#SPJ4

The surface area of one slice of the wedding cake is approximately 17.7 square inches.

To find the surface area of one slice of the wedding cake, we need to calculate the area of a circle. The formula for the area of a circle is A = πr², where A is the area and r is the radius.

The diameter of the cake is 30 inches, the radius is half of the diameter, which is 15 inches. Plugging this value into the formula, we get A = π(15)² = 225π square inches.

Since the cake is cut into 40 equally sized slices, each slice will have an equal portion of the total surface area. Therefore, we divide the total surface area by 40 to find the surface area of one slice.

Surface area of one slice = (225π square inches) / 40 ≈ 17.7 square inches (rounded to one decimal place).

learn more about circle here:

https://brainly.com/question/12930236

#SPJ11

Step-by-step explanation:

Use Pythagorean theorem to find the base of the right triangle

221^2 = 195^2 + b^2

b = 104 km

triangle area = 1/2 base * height =  1/2 * 104 * 195 = 10140 km^2

Now multiply by the height to find volume

10140 km^2  * 15 km  = 152100 km^3

The circumference of the outer circle is greater than the circumference of the inner circle by 44/7 feet.

What exactly is a circle?

A circle is a basic closed form made up of all points on a plane that are at a fixed distance from the centre. The radius is the distance between the centre and any point on the circle. A circle is often represented by the mathematical symbol "∘" or the equation (x-a)² + (y-b)² = r², where (a,b) is the center and r is the radius.

Now,

To find the circumference of the outer circle, we need to add the distance between the two circles to the circumference of the inner circle and then calculate the circumference of the resulting larger circle.

Circumference of the inner circle = πd = π*44 = 44π feet

Distance between the circles = 2 ft

Diameter of the larger circle = diameter of inner circle + distance between the circles = 44 ft + 2 ft = 46 ft

Circumference of the larger circle = πd = π(46) = 46π ft

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle

by 46π - 44π

= 2*π feet=

=2*22/7=

=44/7 feet.

To know more about circle visit the link

brainly.com/question/11833983

#SPJ1

first we have to made the division so:

the the addition so:

The R code provided performs various data manipulation tasks, including creating variables, combining vectors into a dataframe, and summarizing data. It does not require any external visual representation.

Task 1:

1. The `str()` function is used to investigate the structure of the `my_mtcars` dataframe. It will display information about the variables and observations in the dataframe.

2. To calculate engine displacement per cylinder, you need to divide a variable (XXXX) by the `cyl` variable. Replace the two XXXX placeholders with the name of the variable representing engine displacement.

  For example, if the variable representing engine displacement is named `disp`, the code will be:

  `my_mtcars$UnitEngine <- my_mtcars$disp / my_mtcars$cyl`

3. Use the `summary()` function to summarize the newly created variable `UnitEngine` and display descriptive statistics.

Task 2:

4. Create a numeric vector named `Pets` with the numbers (1, 1, 1, 0, 0).

  `Pets <- c(1, 1, 1, 0, 0)`

5. Create a numeric vector named `Order` with the numbers (3, 1, 2, 3, 3).

  `Order <- c(3, 1, 2, 3, 3)`

  Note: The instructions for creating the 'Order' vector were not provided in the given code, so it is assumed that you need to create it here.

6. Create numeric vectors `Siblings` and `IDs` with the provided values.

7. Combine all four vectors (`Pets`, `Order`, `Siblings`, `IDs`) into a dataframe named `myFriends` using the `data.frame()` function.

8. Use `str()` to display the structure of the dataframe and `summary()` to summarize the dataframe.

9. To list all values of the 'Pets' variable, use `myFriends$Pets`.

10. To print the value in the fifth observation of the 'Pets' variable, use `myFriends$Pets[5]`.

11. Use `cbind()` to add a vector called 'age' to 'myFriends'.

12. Define a vector named `names` with the given names. Then use `cbind()` to add the 'names' vector to 'myFriends'. Print the structure of 'myFriends' to see the data type of the 'names' variable.

Note: Please make sure to replace the XXXX placeholders and follow the instructions carefully to obtain accurate results.

To learn more about vector, click here: brainly.com/question/12985874

#SPJ11