A.f(x)=500(0.05)^x
B. f(x)=500(1.05)^x
C. f(x)=500+50x
D. f(x)=500x+50

The length of the lateral edge of the pyramid is approximately 852 feet.

To solve this problem, we can use the Pythagorean theorem and trigonometry. First, we need to find the slant height of the pyramid, which is the distance from the apex to the midpoint of one of the sides. We can use the following formula:

\(s = \sqrt{(h^2 + (b/2)^2)}\)

where s is the slant height, h is the height of the pyramid, and b is the length of one side of the square base. Plugging in the given values, we get:

\(s = \sqrt{(480^2 + (755/2)^2)} = 610.94\) feet (rounded to two decimal places)

Next, we can use the slant height and half the length of the base to find the length of the lateral edge. Let's call this length L. We can use the following formula:

\(L = \sqrt{(s^2 + (b/2)^2)}\)

Plugging in the values we know, we get:

\(L = \sqrt{(610.94^2 + (755/2)^2)} = 851.98\)feet (rounded to two decimal places)

Therefore, the length of the lateral edge of the pyramid is approximately 852 feet.

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All the equations that represent a linear function include the following:

a. y = 2x - 7

f. y = 6 - x

In Mathematics, a linear function is a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases or decreases simultaneously;

y = mx + c

Where:

In conclusion, we can logically deduce that only the equations y = 2x - 7 and y = 6 - x represent a linear function.

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Answer:

subs 3 and 4 into the equation and then compare the two equation to get the value of two constants p n q

Answer:

5.8 is your answer mate

Step-by-step explanation:

hello

Answer:19.8$

Step-by-step explanation:

Answer:

Mark me as brainliest

and zoom in

Answer:

180*0.1=18

Step-by-step explanation:

Answer: Hopes this helpss

Step-by-step explanation:

to find the x intercept substitute in 0 for y and solve for x

To find the y-intercept, substitute in 0 for x and solve for y

x intercept (-3,0)

y intercept ( 0, 3/2)

Answer: B

Because 4x5=20

5x7=35

4x7=28

add them toghether=83

83x2=166

Answer:

the answer is -1

Step-by-step explanation:

-2.1 - (-1) = -1.1

Answer:

y = 1/2x + 7

Step-by-step explanation:

To reverse the order of integration, we need to rewrite the limits of integration in terms of the other variable.
The value of the given integral by reversing the order of integration is (5/12)(\(e^{24}\) - 1).

The given integral is ∫∫ \(5e^{(2x)}\) dx dy, where the limits of x are from 0 to 4 and the limits of y are from 0 to 3y.
To integrate with respect to y first, we need to express the limits of y in terms of x.
From the limits of y given, we have 0 ≤ y ≤ 3y, which simplifies to 0 ≤ y.
Now we need to find the upper limit of y. To do this, we set the expression for the upper limit equal to the constant 12, which is the upper limit of x.
So we have 3y = 12, which gives y = 4.
Thus, the limits of integration become ∫∫ \(5e^{(2x)}\) dy dx, where the limits of y are from 0 to 4 and the limits of x are from 0 to 3y.
Now we can integrate with respect to y:

∫∫ \(5e^{(2x)}\) dy dx = ∫ 0^4 ∫ 0^(3y) \(\int\limits^4_0 \int\limits^{(3y)}_0 5e^{(2x)} dx dy\)
= \(\int\limits^4_0  [5/2 e^{(2x)}]_0^{(3y)} dy\)
= \(\int\limits^4_0  [5/2 (e^{(6y)} - 1)] dy\)
= \([5/12 (e^{(6y)} - 1)]_0^4\)
= \((5/12)(e^{24} - 1)\)
Note that the order of integration can be reversed if the integrand is continuous on a rectangular region that contains the original region of integration.

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Answer:

\(\boxed{x=13.89\:km}\)

Step-by-step explanation:

Pythagorean theorem

\(x^2=(12^2)+(7^2)\)

\(x^2=144+49\)

\(x^2=193\)

\(x=\sqrt{193}\)

\(\boxed{x=13.89\:km}\)

Answer:

see below :)

Step-by-step explanation:

He will have 16 portions of dog food.

12 divided by 3/4 = 16

Answer:

He will have 16 portions of Dog Food.

Step-by-step explanation:

12 devided by 3/4 is 16

Answer:

Step-by-step explanation:

Given parameters:

Dimensions of the equilateral triangle = 6.2cm

Unknown:

Perimeter = ?

Solution:

The perimeter of the triangle is the sum of all its sides;

  Perimeter = 3(L) for an equilateral triangle;

 Perimeter  = 3(6.2) = 18.6cm

to the nearest mm = 19.0cm

You should pay approximately $10,117.09 initially to secure the annuity and receive annual payments of $1500 over the 9-year period.

To find the cost of the annuity, we need to calculate the present value of the future payments. The present value represents the current worth of future cash flows, taking into account the interest earned or charged over time. In this case, we'll calculate the present value of the $1500 payments using compound interest.

The formula to calculate the present value of an annuity is:

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

Where:

PV is the present value of the annuity (the amount you should pay initially)

PMT is the payment amount received annually ($1500 in this case)

r is the interest rate per period (6.28% or 0.0628)

n is the total number of periods (9 years)

Let's substitute the values into the formula:

PV = $1500 × [1 - (1 + 0.0628)⁻⁹] / 0.0628

Calculating this expression:

PV = $1500 × [1 - 1.0628⁻⁹] / 0.0628

PV = $1500 × [1 - 0.575255] / 0.0628

PV = $1500 × 0.424745 / 0.0628

PV ≈ $10117.09

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Answer:

The answer is A.

Step-by-step explanation:

(4)(-5)(3) best represents Laurie’s maximum depth.

Hopefully, this helps! :D

Ask your question below!

The answer is A, because (4)(-5)(3)

Have a nice day! :)

Answer: B. 8x5y5

Step-by-step explanation: i guessed it but it was worth a try

The probability that a randomly chosen part is defective is 0.16, or 16%.

The probability that a randomly chosen part is defective, we need to use the law of total probability.

Let \($D$\) be the event that a part is defective and let \($M_i$\) be the event that the part came from machine \($i$\), for \($i = A, B, C$\).

Then we have:

\($P(D) = P(D|M_A)P(M_A) + P(D|M_B)P(M_B) + P(D|M_C)P(M_C)$\)

60% of the products come from machine A, 30% from machine B, and 10% from machine C.

Therefore:

\($P(M_A) = 0.6$\)

\($P(M_B) = 0.3$\)

\($P(M_C) = 0.1$\)

The probability of a part being defective is 10% if it comes from machine A, 30% if it comes from machine B, and 40% if it comes from machine C.

Therefore:

\($P(D|M_A) = 0.1$\)

\($P(D|M_B) = 0.3$\)

\($P(D|M_C) = 0.4$\)

Substituting these values into the law of total probability, we get:

\($P(D) = 0.1 \cdot 0.6 + 0.3 \cdot 0.3 + 0.4 \cdot 0.1 = 0.16$\)

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Answer:

The correct option is;

Dennis must have stopped for an hour in the middle of this trip

Step-by-step explanation:

The given parameters are;

The distance Dennis covered in 5 hours = 500 km

Dennis's average speed in the first two hours = 150 km/h

Dennis's average speed in the last two hours = 100 km/h

Therefore;

Dennis traveled 150 km/h × 2 h = 300 km in the first two hours

Dennis traveled 100 km/h × 2 h = 200 km in the last two hours

Which gives, Dennis traveled 300 km + 200 km in  2h + 2h = 4h

Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.

Given:

The function is:

\(f(x)=x^2-16\)

To find:

The inverse of the function.

Solution:

We have,

\(f(x)=x^2-16\)

Step 1: Substitute \(f(x)=y\).

\(y=x^2-16\)

Step 2: Interchange x and y.

\(x=y^2-16\)

Step 3: Isolate y.

\(x+16=y^2\)

\(\pm \sqrt{x+16}=y\)

\(y=\pm \sqrt{x+16}\)

Step 4: Substitute \(y=f^{-1}(x)\).

\(f^{-1}(x)=\pm \sqrt{x+16}\)

Therefore, the inverse function of the given function is \(f^{-1}(x)=\pm \sqrt{x+16}\).

Answer:

An altitude of a triangle is a segment from a vertex of the triangle, perpendicular to the side opposite that vertex of the triangle.

Step-by-step explanation:

Answer:

There are approximately 24 ways to order them to form a line

Answer:

The answer is 3/20 or 0.15 as a decimal.

Step-by-step explanation:

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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Linear regression is a method of fitting a straight line between a dependent variable and an independent variable.

However, this method can be extended to accommodate some forms of non-linear relationships between the response and predictor(s). Some forms of non-linear relationships can be accommodated in a linear model if we include transformed versions of the predictor(s). Moreover, polynomial regression is one method for incorporating non-linear associations in a linear model. Thus, all of the given options are correct. So, the correct option is (A) The linear regression model may be extended to accommodate some forms of non-linear relationships between the response and predictor(s). (B) Some forms of non-linear relationships may be accommodated in a linear model if we include transformed versions of the predictor(s). (C) Polynomial regression is one method for incorporating non-linear associations in a linear model.

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The symbols p,x, and s represent sample statistics.

- p (pronounced "p-hat") is the sample proportion. It is used to estimate the population proportion. It is computed as the number of successes in the sample divided by the sample size.

-x (pronounced "x-bar") is the sample mean. It is used to estimate the population mean. It is computed as the sum of all the values in the sample divided by the sample size.

- s is the sample standard deviation. It is used to estimate the population standard deviation. It measures how spread out the data is in the sample. It is computed as the square root of the sum of the squared deviations from the sample mean divided by the sample size minus one.

These sample statistics are used to make inferences about the corresponding population parameters, which are denoted by Greek letters such as μ (mu) for the population mean and σ (sigma) for the population standard deviation.

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The model's fit to the data is weak, indicated by a correlation coefficient of -0.34. There is a weak negative relationship between the variables, with the model's predictions being imprecise and scattered around the line of fit.

A relationship coefficient of - 0.34 shows a frail negative connection between's the factors in the information. This intends that as one variable expands, the other variable will, in general, diminish, however, the relationship isn't a serious area of strength for exceptionally.

The line of fit for the information recommends that there is a general pattern or example, however, it doesn't fit the information focuses intently. The scatterplot of the information would show focuses spread around the line, for certain focuses straying a considerable amount from it.

The model's capacity to foresee the specific upsides of the reliant variable in light of the free variable(s) is restricted. In outline, the attack of the model to the information isn't an area of strength for extremely, there is a frail negative connection between the factors.

The model's forecasts may not be profoundly precise, and there may be different elements or factors not caught by the model that impact the information.

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