what’s the area of the fingure for a brianlist ??!

The slope represents the predicted change in sales price for each additional square foot of a home. Using this slope, you can then create the regression line equation, which will help you predict the sales price based on square footage for homes in the subdivision.

To predict the sales price based on square footage for homes in this subdivision using the least squares regression line, you would need to follow these steps:

1. Collect data: Gather data on the sales prices and square footages of homes in the subdivision. This data will be used to calculate the regression line.

2. Calculate the mean: Find the average (mean) sales price and average square footage for the homes in your data set.

3. Calculate deviations: For each home, calculate the deviation of its sales price from the mean sales price and the deviation of its square footage from the mean square footage.

4. Calculate products: Multiply the deviations of sales price and square footage for each home, and then sum the products.

5. Calculate squared deviations: Square the deviations of square footage for each home, and then sum the squared deviations.

6. Calculate the slope: Divide the sum of products by the sum of squared deviations. This will give you the slope of the least squares regression line.

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0.0006 .

The probability that both systems of an atomic reactor will fail simultaneously is 0.0006.

This is calculated by multiplying the probability of cooling system A failing (0.02) by the probability of cooling system B failing (0.03) which results in 0.0006, rounded to four decimal places.

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Answer:

y>-2x-1 answer is b

-4x+y> 1 is c I believe

Step-by-step explanation:

Kilograms and lbs are two different units of measurements used to measure weight or mass. 85 kg is equal to 187.39 lbs.

Kilograms are a part of the metric system and are the most widely used unit of measurement for non-liquid ingredients in cooking and grocery shopping. Pounds are part of the Imperial system of measurement and are commonly used in the United States. One kilogram is equal to 2.20462262 pounds, which is why 85 kg is equal to 187.39 lbs.

To convert between the two, divide the number of kilograms by 0.453 to get the number of pounds. For example, if you have 100 kg, divide it by 0.453 to get 220.46 lbs. Conversely, to convert from pounds to kilograms, multiply the number of pounds by 0.453 to get the number of kilograms.

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Step-by-step explanation:

the answer is in the photo attached.

Answer:

12.5%

Step-by-step explanation:

Given parameters:

Cost price  = 32000

Selling price of the AC = 28000

Unknown

Arthur's loss percent = ?

Solution:

To find the loss percent; use the formula below;

  Arthur's loss percent  = \(\frac{|selling price - cost price|}{cost price} x 100\)

Input the parameters and solve;

  Arthur's loss percent = \(\frac{|28000 - 32000|}{32000}\) x 100 = 12.5%

His loss percentage is  12.5%

Answer:

157.98  \(in^2\)

Step-by-step explanation:

Given: volume of pyramid is equal to 100 cubic inches and height of the pyramid is 5 inches

To find: surface area of the pyramid

Solution:

Let h denotes the height of the pyramid and 'a' denotes side of the square base of the pyramid.

Volume of the pyramid = \(\frac{1}{3}a^2h\)

Also,

Volume of the pyramid = 100 cubic inches

\(\frac{1}{3}a^2h=100\\\frac{1}{3}a^2(5)=100\\a^2=\frac{100\times 3}{5}=60\\a=\sqrt{60}\)

Surface area of the pyramid  \((S) =a\sqrt{4h^2+a^2}+a^2\)

So,

\(S=\sqrt{60}\sqrt{100+60}+60\\=\sqrt{60}\sqrt{160}+60\\=\sqrt{9600}+60\\=97.9796+60\\=157.9796\\\approx 157.98\)

Surface area = 157.98  \(in^2\)

Answer:

Surface area of the pyramid = 157.99 in²

Step-by-step explanation:

Volume of a pyramid is given by the formula,

Volume = \(\frac{1}{3}(\text{Area of the base})\times \text{height}\)

100 = \(\frac{1}{3}\text{(Side)}^{2} \times \text{height}\)

300 = s² × 5

s² = 60

s = √60

s = 2√15 in ≈ 7.746 in

Now surface area of the pyramid = Area of base + 4×(Area of one lateral side)

Area of square base = (Side)² = 60 in

Area of one lateral side = \(\frac{1}{2}(\text{Base})(\text{Lateral height})\)

Since Lateral height = \(\sqrt{(h)^{2}+(\frac{S}{2})^{2}}\) [By applying Pythagoras theorem in the given triangle]

                                  = \(\sqrt{(5)^{2}+(3.873)^{2}}\)

                                  = \(\sqrt{25+15}\)

                                  = \(\sqrt{40}\)

                                  = 6.325 in.

Now area of lateral side = \(\frac{1}{2}(7.746)(6.325)\)

                                        = 24.497 in²

Surface area of the pyramid = 60 + (4×24.497)

                                               = 60 + 97.987

                                               = 157.987 in²

                                               ≈ 157.99 in²

Answer:

C

Step-by-step explanation:

find out the 35% OF 36.00

36x35%=9

36-9=27

Answer:

4.24

Step-by-step explanation:

3.64 + 3/5

3.64 + 0.6 <--- 3/5 = 0.6 as a decimal

= 4.24 <--- Final answer

If we pick four toppings on the pizza, then the number of  ways that quadruple pizza can be made if four toppings must be different is 210.

If the 4 toppings on the quadruple pizza must be different, then we need to choose 4 toppings out of 10 available toppings, without repetition.

In this case, we have n = 10 (the total number of toppings) and

⇒ r = 4 (the number of toppings to be chosen for the pizza).

So, the number of different quadruple pizzas that can be made is:

⇒ ¹⁰C₄ = 210;

Therefore, there are 210 different quadruple pizzas that can be made with four different toppings out of the ten available toppings.

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Given:

The quadratic equation is:

\(16x^2-20x-6=0\)

To find:

The correct values for the quadratic formula.

Solution:

If a quadratic equation is \(ax^2+bx+c=0\), then the quadratic formula is:

\(x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\)

We have,

\(16x^2-20x-6=0\)

Here, \(a=16,b=-20, c=-6\). Substituting these values in the above quadratic formula, we get

\(x=\dfrac{-(-20)\pm \sqrt{(-20)^2^2-4(16)(-6)}}{2(16)}\)

Therefore, the quadratic formula for the given equation is \(x=\dfrac{-(-20)\pm \sqrt{(-20)^2^2-4(16)(-6)}}{2(16)}\).

There is a 16% probability that the individual actually had the disease given a positive test result.

The probability that the individual had the disease can be calculated as follows:

Let A = Event of testing positive and actually having the disease

Let B = Event of testing positive but not actually having the disease

We are looking for P(A|B), which is the probability of actually having the disease given a positive test result.

Using Bayes' Theorem, we have:

P(A|B) = P(A) * P(B|A) / P(B)

Bayes' theorem is a mathematical formula used in probability theory to calculate the probability of an event based on prior knowledge of conditions that might be related to the event.

It states that the conditional probability of an event A given event B is equal to the product of the probability of event B and the conditional probability of event A given event B, divided by the probability of event B. The formula is represented as P(A|B) = P(B|A) * P(A) / P(B).

Where:

P(A) = 1/500 (probability of having the disease)

P(B|A) = 0.95 (probability of a correct positive result given that the individual has the disease)

P(B) = P(B|A) * P(A) + P(B|A') * P(A') (probability of a positive test result)

= 0.95 * 1/500 + 0.01 * 499/500 (probability of a false positive result given that the individual does not have the disease)

Plugging in the values, we have:

P(A|B) = (1/500) * 0.95 / [0.95 * 1/500 + 0.01 * 499/500] = 0.16 or 16%

Therefore, there is a 16% probability that the individual actually had the disease given a positive test result.

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The statement is true; given a bounded sequence (sn), there exists a monotonic subsequence whose limit is the limit superior (lim sup) of (sn).

To prove this, consider the set A of all subsequential limits of (sn), denoted as {x: x is a subsequential limit of (sn)}. Since (sn) is bounded, A is also bounded. By the Bolzano-Weierstrass theorem, A contains at least one accumulation point, which we denote as L.

Now, construct a subsequence (sk) such that for each k, sk is the element of (sn) that is closest to L among the elements not yet chosen. By construction, (sk) is a monotonic subsequence.

To show that lim sk = L, we consider any ε > 0. Since L is an accumulation point of A, there exists an element snk in (sn) such that |snk - L| < ε. As (sk) consists of elements that are closest to L, we have |sk - L| ≤ |snk - L| < ε. Thus, lim sk = L, which proves the existence of a monotonic subsequence whose limit is lim sup sn.

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Step-by-step explanation:

the domain of a function is always the interval or set of all valid input values (usually x, but here t).

the range is the interval or set of all valid result values (usually y or f(x), here h(t)).

as the graph shows, the function works only for values of t starting at 0 (at 0 seconds the object has 0 ft height, it is still on the ground and about to launch).

and it ends at t = 7.

obviously the object hits the ground after 7 seconds again after coming back down. so, the height function does not make any sense for values of t after that.

so, again, the domain is

0 <= t <= 7

In order to find the number of distinguishable permutations of the group of letters A, A, G, E, E, E, M, we can use the following formula:

The number of permutations = n! / (n1! n2! ... nk!), where n is the total number of objects to be arranged, and n1, n2, ..., nk are the numbers of objects that are identical to one another.

For this problem, we have 7 letters with 2 A's, 3 E's, and 1 G and 1 M letter.

Using the formula above, we can find the number of distinguishable permutations: 7! / (2! 3! 1! 1!) = (7 × 6 × 5 × 4 × 3 × 2 × 1) / [(2 × 1) × (3 × 2 × 1) × (1 × 1) × (1 × 1)] = 2520

Therefore, there are 2520 distinguishable permutations of the group of letters A, A, G, E, E, E, M.

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Answer:let the cost be y

and the number of months be x

given that the cost is modeled as

y= 15x+25

we can solve for the charges after a series of months

say we want to calculate the charges for 5 month, we then have to put x=5 in the expression

y=15x+25.

y= 15(5)+25

y= 75+25

y=100

the charges for 5 months is $100

you can estimate for any number of months just put the number of months for x  

Step-by-step explanation:

The expression for the marginal revenue function is MR(q) = 600r - 7.

The given product's revenue function is R(q) = - 7q + 600qr.

To find an expression for the marginal revenue function, we can use the following steps:

Step 1: Take the first derivative of the revenue function with respect to q to obtain the marginal revenue function MR(q).

Step 2: Simplify the expression for MR(q) to record the final result.

In other words, the marginal revenue function MR(q) is the derivative of the revenue function R(q) with respect to q. Here, R(q) = - 7q + 600qr.

So, we have to differentiate R(q) with respect to q to get MR(q).

The derivative of - 7q with respect to q is - 7.

The derivative of 600qr with respect to q is 600r because the derivative of q with respect to q is 1.

MR(q) = dR(q) / dq

= (d/dq)(- 7q + 600r)

= (- 7) + (600r)

= 600r - 7

The equation that represents the marginal revenue function is MR(q) = 600r - 7.

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Answer:  8

Step-by-step explanation:

EQ1:   a + b + c = 2            -->       b + c = 2 - a

EQ2:  ab + bc + ac = -1     -->        b + c = (-1 - bc)/a

EQ3:  abc = -2                  -->           bc = -2/a

Set EQ1 = EQ2 and substitute bc using EQ3 to solve for "a":

\(2-a=\dfrac{-1-bc}{a}\\\\\\\text{Clear the denominator:}\\a(2-a)=-1-bc\\\\\text{Substitute bc:}\\a(2-a)=-1-\dfrac{-2}{a}\\\\\\\text{Clear the denominator:}\\a^2(2-a)=-a+2\\\\\\\text{Simplify and set equal to 0:}\\2a^2-a^3=-a+2\\0=a^3-2a^2-a+2\\\\\text{Factor:}\\0=a^2(a-2)-1(a-2)\\0=(a^2-1)(a-2)\\\\\text{Solve for a:}\\a^2-1=0\qquad a-2=0\\a=\pm1}\qquad \qquad a=2\)

Consider the solution a = 2 and plug it into EQ1 to solve for "b"

b + c = 2 - 2

b + c = 0

b = -c

Plug in a = 2, b = -c, and c = c into a³ + b³ + c³

  2³ + (-c)³ + c³

= 8 - c³ + c³

= 8

The estimated local maximums are (0,-2) and (0,π), and the estimated local minimums are (0,0) and (0,2π).

The graph of f consists of two parts: a line increasing to (0,-2) and a curve starting at (0,0) and intercepting the x-axis at (0, π, and 2π). To estimate the local maximum and local minimum of the graph, we need to look for points where the function changes direction.For the line segment, the graph is increasing until it reaches (0,-2). This point can be considered a local maximum because the graph starts decreasing afterward.

For the curve, we have points at (0,0), (0, π), and (0, 2π). At (0,0), the graph is flat and does not change direction, so it is considered a local minimum.

At (0,π), the graph changes direction from increasing to decreasing, making it a local maximum.Similarly, at (0, 2π), the graph changes direction from decreasing to increasing, which means it is also a local minimum.Therefore, the estimated local maximums are (0,-2) and (0,π), and the estimated local minimums are (0,0) and (0,2π).

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Answer:

5m+3 =3m

Step-by-step explanation:

−6(t − 8) = 12

-6((6) -8) =12

5m+3=3m

5m-3m=3

2m=3

2(6)≠3

t + 5 = 11

(6) + 5 = 11

9 = 2x − 3

2x = 9+3

2(6) = 12

Answer:

Step-by-step explanation:

In finding the COMMON DIFFERENCE, subtract the 2nd term and the first term.

a1 = -4

a2 = -2

Let "d" representing the COMMON DIFFERENCE.

d = -2 -(-4)

d = -2 + 4

d = 2

ANSWER:

THE COMMON DIFFERENCE OF THIS SEQUENCE IS 2

Answer:

3

Step-by-step explanation:

Givens

Start by looking at the 'distance' (number of spaces) between 1 and 10

a = 1

l = 10

n of terms = 4

L_4 = 10

a = 1

Equation

L_4 = a + (n - 1)*d

10 = 1 + (4 - 1)*d

10 - 1 = 3d

9 = 3d

9/3 = d

d = 3

So the terms you get from 1 to 10

1  4   7 10

Discussion

But we actually started at 1, not -11. Let's fill in the 3 blanks leading up to 1

-11 ____ ____ ____ 1

a = - 11

t = 5

L= 1

1 = - 11 + (5 - 1) d

1 = -11 + 4d                Add 11

1+ 11 = 4d

12 = 4d

12/4 = d

d = 3

======================

Could we have done this more directly. Yes, we could have

a = - 11

t = 8       There are 8 terms in all.

L_8 = 10

L_9 = a + (n-1)d

10 = - 11 + (8-1)d

10+11 = 7d

21 = 7d

21/7 = d

d = 3

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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Answer:

Answer: Given that a photograph of a bacteria enlarged 50,000 times attains a length of 5 cm. Therefore, the actual length of the bacteria is = (5/50000) cm = 0.0001 cm.

Step-by-step explanation:

^^

The required polynomial f(x) is f(x) = x³ - 3x² - 13x - 21.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial etc. ax+b is a polynomial.

Here,
By the Factor Theorem, we know that:

f(x) = a(x - 7)(x + 1)(x + 3)

where a is a constant.

To find the value of a, we can use one of the given zeros. Let's use x = 7:

0 = f(7) = a(7 - 7)(7 + 1)(7 + 3) = 0

So, a = 0 if f(7) = 0. This makes sense as if x = 7 is a zero of the polynomial, then (x - 7) is a factor of the polynomial.

Now, we can write f(x) as,

f(x) = 0(x - 7)(x + 1)(x + 3) = 0

We can introduce a leading coefficient of 1, and write:

f(x) = a(x - 7)(x + 1)(x + 3) = 1(x - 7)(x + 1)(x + 3)

Expanding this out, we get:

f(x) = (x - 7)(x + 1)(x + 3)

= (x² - 6x - 7)(x + 3)

= x³ - 3x² - 13x - 21

Therefore, the polynomial f(x) is f(x) = x³ - 3x² - 13x - 21.

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Answer:

d × (5d + 11)

Step-by-step explanation:

5d² + 11d

Factor out d from the expression

When d is factored out;

5d² becomes 5d

11d becomes 11

And d multiplies it all;

d × (5d + 11)

From the word problem, we know that:

• Matt earns $6 per hour spreading mulch

• Matt earns $4 per hour pulling weeds

Since Matt spent 3 hours spreading mulch, we can find his earnings multiplying 3 by $6.

Since Matt spent 2 hours pulling a weed, we can find his earnings multiplying 2 by $4.

Finally, we add up Matt's earnings from doing both activities.

Therefore, last week Matt earned $26.

Answer:

Cost increase= $1,156

New model cost= $35,156

Step-by-step explanation:

Giving the following information:

The next model of a sports car will cost 3.4% more than the current model. The current model costs 34,000.

Cost increase= 34,000*0.034

Cost increase= $1,156

New model cost= 34,000 + 1,156

New model cost= $35,156

Answer:

a, b, and d are all correct

im 99% sure

Step-by-step explanation: