Coco's garden has 888 tomato plants, 444 pepper plants, 333 squash plants, and 666 pumpkin plants.
For every 777 plants in Coco's garden, there are 2_____ plants.

Final answer:

To convert 300mm to meters, divide 300 by 1000 because there are 1000 mm in a meter, resulting in 0.3 meters.

Explanation:

To convert millimeters to meters, we use the conversion factor that 1000 mm equals 1 m. Therefore, to convert 300mm to meters, you divide 300 mm by 1000 because there are 1000 mm in a single meter. So, let's carry out the calculation:

300 mm ÷ 1000 = 0.3 m

Thus, 300 mm is equal to 0.3 meters.

In mathematics, a percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",

Given that a metal bar weighs 8.18 ounces and 96% of the bar is silver.

The amount of Silver in the bar is

[tex] A=\frac{96}{100}(8.18) =7.8528 [/tex].

The amount of Silver in the bar in ounces is [tex] 7.8528\;ounces [/tex].

Since the mean waiting time is 12 minutes, the median waiting time would also be 12 minutes.

Here's how we can find the median waiting time:

Since the mean waiting time is 12 minutes, it means that if you were to add up all the waiting times of different arrivals and divide by the number of arrivals, you would get 12 minutes.

Now, for the median waiting time, we're looking for the value that falls exactly in the middle of all the waiting times.

If the distribution is symmetrical, which is often the case with waiting times, the mean and median will be the same.

Using the equation for the margin of error, it is found that the 99% confidence interval will be wider than the 95% confidence interval for µ.

The margin of error of a confidence interval is given by an equation in the following format:

[tex]M = t\frac{s}{\sqrt{n}}[/tex]

In which:

In this problem, a 99% confidence interval will have a higher value of t than a 95% confidence interval, hence a higher margin of error, and thus will be wider.

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Answer:

Option A. 1 over 5. 10 hours

Step-by-step explanation:

This question can be solved by the unitary method.

∵ Oil company fills [tex]\frac{1}{10}[/tex] of a tank in the time = [tex]\frac{1}{5}[/tex] hurs

∴ Full tank can be filled in the time = [tex]\frac{\frac{1}{5} }{\frac{1}{10} }[/tex] hours.

= [tex]\frac{1}{5}\times 10[/tex]

Therefore, the expression that can be used to determine the time that it will take to fill the tank completely will be Option A.

Answer:

ME=z×s/√n

Step-by-step explanation:

Basically the answer is C.

Answer:

Expanded: 4x² - 4x - 168 = 0
Solutions: x = -6, 7

Explanation:
If you need to expand the expression:

First, distribute the 4 to the binomial directly to its right but multiply each term within the parentheses by 4.
4(x - 7) = 4(x) + 4(-7) = 4x - 28
The new equation is (4x - 28)(x + 6) = 0

Next, we use the FOIL method. This is an acronym that instructs which terms in each binomial are multiplied together. It stands for Firsts, Outsides, Insides, and Lasts.
Firsts: 4x(x) = 4x²
Outsides: 4x(6) = 24x
Insides: -28(x) = -28x
Lasts: -28(6) = -168

Put them into one equation and combine like terms.
4x² + 24x - 28x - 168 = 0
4x² - 4x - 168 = 0

If you need solutions to the expression:

First, divide both sides of the equation of the 4 that was previous factored out.
4(x - 7)(x + 6) = 0
[4(x - 7)(x + 6)] / 4 = 0 / 4
(x - 7)(x + 6) = 0

Now, set each binomial equal to 0 and solve for x using whatever operations are necessary.
x - 7 = 0                             x + 6 = 0
x - 7 + 7 = 0 + 7                 x + 6 - 6 = 0 - 6
x + 0 = 7                            x + 0 = - 6

x = 7                                  x = - 6

The solutions to the expression are x = -6, 7

Final answer:

To show that the given vector field is not a gradient vector field, we need to compute its curl. The curl is computed by taking the cross product of the gradient operator with the vector field. By computing the partial derivatives and simplifying, we find that the curl of the given vector field is not zero, which indicates that it is not a gradient vector field.

Explanation:

To show that the vector field is not a gradient vector field, we need to compute its curl. The given vector field is f(x,y,z) = <ycos(-2x), -2xsin(y), 0>. The curl of a vector field is defined as the cross product of the gradient operator with the vector field. In this case, the curl of f(x,y,z) is computed as:

curl(f) = ∇ × f = (∂f_z/∂y - ∂f_y/∂z)i + (∂f_x/∂z - ∂f_z/∂x)j + (∂f_y/∂x - ∂f_x/∂y)k

By computing the partial derivatives and simplifying, we find that:

Substituting these values back into the curl formula, we get:

curl(f) = (2ycos(-2x))i + 0j + (-2sin(y))k

This shows that the curl of the vector field is not zero, which means the vector field is not a gradient vector field.

To change 0.45 to a percent, we can move the decimal point 2 places to the right and add the percent sign.

If we move the decimal 2 places to the right, we will end up with 45 and then we will add the percent sign and it will become 45%

Therefore, 0.45 to a percent is 45%

Solution:

The Preimage function is , F(x)=|x|

Consider a point (a,b) on the function, F(x)=|x|. it means

b=|a|-----(1) satisfies the function.

Now the function F(x)=|x|  is vertically stretched by 5 units.It means

x=a , y= b+5

x=a, b=y-5

So, putting the value of a and b in equation (1).

y-5=|x|

y= |x| + 5 is vertical stretch of y= |x| by 5 units.

Answer:

Answer = 1

Step-by-step explanation:

The output of the function (f ^ g)(30) in this context refers to first calculating the output of the g function given x = 30, then substituting this output into the f function. With g(30) = sqrt(x - 5) and f(x) = 2x - 8, we find that (f ^ g)(30) = 2.

To find (f ^ g)(30), we first need to find the output of the g function when x = 30 and then substitute this output into the f function. This is also known as the composition of functions.

First, let's find the output of the g function when x = 30. Given that g(x) = sqrt(x - 5), for x = 30, g(30) = sqrt(30 - 5) = sqrt(25) = 5.

Next, we substitute this output into the f function. Given that f(x) = 2x - 8, when x = 5, f(5) = 2(5) - 8 = 10 - 8 = 2.

Therefore, (f ^ g)(30) = 2.

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To find the value of [tex](f ^ g)(30)[/tex], substitute 30 into both f(x) and g(x) to find f(30) and g(30). Then substitute g(30) into f(x) to find the final value.

In this mathematics question, you're asked to find the value of [tex](f ^ g)(30)[/tex]where [tex]f(x) = 2x - 8[/tex]and g(x) = square root of x - 5. To calculate (f ^ g)(x), we first need to find the value x in both functions f and g. So, let's find f(30) and g(30) first.

Firstly, substitute x = 30 into f(x). So, [tex]f(30) = 2*30 - 8 = 52[/tex]. Now, substitute x = 30 into g(x). So, g(30) = square root of (30 - 5) = square root of 25 = 5.

Now, f ^ g(30) means we substitute the output of g(30) = 5 into f(x) which gives us [tex]f(5) = 2*5 - 8 = 2.[/tex]

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