Please answer this question now in two minutes

The best option is to buy the $14 pizza because it will be cheaper and we will consume more pizza.

To know the best option between buying 2 slices for $2 each or buying a full 8 slices for $14, we must perform the following operations.

According to the above, buying the large 8-slice pizza we will be able to eat 2.6 slices for $4.6. This means that each slice will cost us $1.76.

On the other hand, if we bought 2 slices for $2 each, we would be paying more money for less pizza.

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Answer:

x-9

Step-by-step explanation:

I didn't know if you wanted it graphed or simplified so I gave ya both, hope it helps!!!

Answer: x - 9

Step-by-step explanation:

= x + 3 - 12

= x + (3 - 12)

= x-9

Answer:

i think b) option b

Step-by-step explanation:

lmk if this is incorrect

Answer:

d=6

There's is the answer , and the explantion luv , stay safe <3 , and motivated :).

Answer:

d=6

Step-by-step explanation:

The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

a) The proportion of adult women in the given geographical region is approximately 49%. Hence, in a sample of 600 people, we would expect (0.49) x 600 = 294 women.

b) The standard deviation of the sampling distribution can be calculated as follows:SD(p) = sqrt{ [p(1-p)] / n }where p = proportion of women in the population = 0.49, n = sample size = 600Substituting these values, we get:SD(p) = sqrt{ [0.49(1-0.49)] / 600 }SD(p) = 0.024

c) On average, we would expect 294 women in a sample of size 600.

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x + 7 = -8

(x + 7) - (7) = -8 - (7)

x = -8 - 7 = -15

The correct answer is -15

❄ Hi there,

let us first consider this: What should we do to get x all alone, on one side of the equation?

Since

we should

\(\ \sf{x=-8-7}\)

\(\triangleright \ \sf{x=-15}\)

That's it!

❄

The predicted gain (or loss) from a single trial is 53 cents per game on average.

A roulette wheel has the number 1 through 36, as well as 0 and 00. If you wager $1 that an odd number would show up, you will win or lose $1 depending on whether or not that occurrence occurs. If random variable X represents your net benefit, X=1 with probability 18/38 and X=-1 with probability 20/38.

E(X) = 1(18/38) – 1 (20/38) = -$.053

On average, the casino wins  5 cents for each game.

If the stakes are raised, the casino makes even more money:

E(X) = 10(18/38) – 10 (20/38) = -$.53

If the cost is $10 for each game, the casino wins an averaged of 53 cents per game. If 10,000 games are played in a single night, that's a cool $5300.

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The values of g(y) at the specified values of the independent variable are:

(a) g(0) = 7

(b) g(7/3) = 0

(c) g(s + 2) = 1 - 3s.

To evaluate the function g(y) at the specified values of the independent variable, we substitute the values of y into the expression for g(y) and simplify:

(a) g(0) = 7 - 3(0) = 7 - 0 = 7

(b) g(7/3) = 7 - 3(7/3) = 7 - 7 = 0

(c) g(s + 2) = 7 - 3(s + 2) = 7 - 3s - 6 = 1 - 3s

Therefore, the values of g(y) at the specified values of the independent variable are:

(a) g(0) = 7

(b) g(7/3) = 0

(c) g(s + 2) = 1 - 3s.

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Answer:

2nd option

Step-by-step explanation:

Under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

P (- 8, 1 ) → P' (- 8, - 1 )

Q (- 6, - 8 ) → Q' (- 6, 8 )

R (4, - 3 ) → R' (4, 3 )

Answer:

Step-by-step explanation:

17

To determine which payment plan the real estate investor would prefer, we need to compare the present value of each payment option. Assuming a discount rate of 0%, meaning no time value of money is considered, we can directly compare the payment amounts.

1. Payment of $2,000 at the first of each month: This results in a total payment of $24,000 over the 12-month lease.

2. Upfront payment of $24,000: This option requires paying the full amount at the beginning of the lease.

3. Payment of $2,000 at the end of each month: Similar to option 1, this results in a total payment of $24,000 over the 12-month lease.

4. Upfront payment of $12,000 and $12,000 half-way through the lease: This option requires paying $12,000 at the beginning of the lease and another $12,000 halfway through the lease.

Since all the payment options have a total cost of $24,000, the real estate investor would likely prefer the payment plan that offers more flexibility or matches their cash flow preferences. Options 1 and 3 provide the investor with the option to pay monthly, while options 2 and 4 require a larger upfront payment. The choice would depend on the investor's financial situation and preferences.

The variance of the distribution  for puppies is  1.25

We are provided some values such that-

number of puppies in a litter are ranging from 2 to 6,

also we have squared deviations, or distances from the expected value of 4.5

We know very well that

variance(X)=∑[squared deviations × Probability of(X)]

or Var(X)=∑[squared deviations × PX)]

Now, we have squared deviations and probability for each of the puppies,

So putting the values, we got that

=>var(X) = (6.25×0.05)+(2.25×0.15)+(0.25×0.25)+(0.25×0.35)+(2.25×0.25)

=>var(X) = 0.3125 + 0.3375 + 0.0625 + 0.0875 + 0.45

=>var(X) = 1.25

Hence, we can conclude that the variance of the distribution is 1.25

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Answer:

(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.

Step-by-step explanation:

Use the distance formula:

We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:

The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.

The population in 2019 is  111,974.

An exponential equation can be described as an equation with exponents. The exponent is usually a variable.

The general form of exponential equation is f(x) = \(e^{x}\)

Where:

The form of this equation would be:

Initial population x \((1 + percent increase)^{number of years}\)

p(t) = 45,000 x \((1 + 0.2)^{t}\)

p(t) = 45,000 x \((1.2)^{t}\)

Population in 2019: p(t) = 45,000 x \((1.2)^{5}\) = 111,974

Where:

t = 2019 - 2014 = 5

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Answer:

D:y=5x-8

steps- by- step explanation

Answer:

Step-by-step explanation:

f(x) = -2(x+3)^2 -1 would be the fourth graph because its translated 3 to the left, negative, and 1 down

f(x)=2(x+3)^2+1 would be the first graph since it's translated 3 to the left, positive, and shifted 1 up

f(x)=-2(x+3)^2+1 would be the second graph since it's translated 3 to the right, negative, and shifted 1 up

f(x)=2(x-3)^2+1 would be the third graph since it's translated 3 to the right, positive, and shifted 1 up

Answer:

\(\boxed {\boxed {\sf D. \ 30 \ feet}}\)

Step-by-step explanation:

The area of a square is found by multiplying the base and the height, but since all the sides are equal, it is equal to multiplying a side by another side.

\(a=s*s\)

\(a=s^2\)

We know the square garden has an area of 900 square feet. We can substitute this value in for a.

\(900 \ ft^2=s^2\)

Since we are solving for the side, we have to isolate the variable s. It is being squared. The inverse of a square is the square root, so we take the square root of both sides.

\(\sqrt {900 \ ft^2}= \sqrt{s^2}\)

\(\sqrt {900 \ ft^2}=s \\\)

\(30 \ ft=s\)

One side of the garden is equal to 30 feet and choice D is correct.

Step-by-step explanation:

Area of square garden=a^2

ATQ

➝a^2=900 sq.feet

➝a=√900

➝a=30feets

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

5 minutes

Step-by-step explanation:

2 minutes per lap

2 minutes for 2/5 km = 1 minute for 1/5 lap

1 x 5/5 = 5 minutes

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

Answer:

4(10-2x³)

Step-by-step explanation:

4×10=40

4×-2x³ = -8x³

final answer = 40 - 8x³

The formula for dy/dx is the derivative of y with respect to x. It represents the rate of change of y with respect to x.

In calculus, the derivative of a function with respect to a variable x is a measure of how much the function changes as the variable x changes. The notation for the derivative of a function y with respect to x is dy/dx, read as "delta y over delta x". This notation is called a "derivative" and it represents the rate of change of the function y with respect to x.

The derivative of a function can be calculated using the limit definition of the derivative or with the use of different rules such as power rule, product rule, quotient rule, chain rule, and more. The derivative can also be represented graphically as the slope of a tangent line to the function's graph.

Derivatives are widely used in mathematics, physics, engineering, and other sciences to model various phenomena.

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When using the "closest to" strategy, we would round 67 to 70 because the absolute difference between 67 and 70 is smaller than the absolute difference between 67 and 60.

To determine which tidy number 67 is closer to using the strategy "closest to," we can look at the distance between 67 and 60 as well as the distance between 67 and 70. The distance between 67 and 60 is 7, while the distance between 67 and 70 is 3. Since 67 is closer to 70 than 60, we would say that 67 is closer to 70 using the "closest to" strategy.

This is because the goal of the "closest to" strategy is to find the tidy number that minimizes the distance from the given number, and in this case, 70 is closer to 67 than 60.

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