When completing a multiple linear regression analysis, which of the following is the first value you should check before proceeding?

Answer:yes it is a triangle

Step-by-step explanation:

let's assume this triangle's sides are a,b and c.

we know this equation: \(a+b > c > |a-b|\\c+b > a > |c-b|\\a+c > b > |a-c|\\a=6\\b=7\\c=9\\13 > 9 > 1--- > which is true\\16 > 6 > 2----- > which is true as well\\15 > 7 > 3------ > it is true,too\\all of this equations are true so, this is a triangle\)

approximately 42.5 milligrams of the substance will remain after 22 hours.Since the radioactive substance decays exponentially, we can use the formula:N = N0 * e^(-kt)

where N is the amount of substance remaining after time t, N0 is the initial amount of substance, k is the decay constant, and e is the base of the natural logarithm.

We know that the initial amount of substance is 170 milligrams, and after 12 hours, 85 milligrams remain. We can use these values to solve for the decay constant k:

85 = 170 * e^(-k*12)

Dividing both sides by 170, we get:

0.5 = e^(-k*12)

Taking the natural logarithm of both sides, we get:

ln(0.5) = -k*12

Solving for k, we get:

k = ln(2)/12

Now we can use this value of k to find the amount of substance remaining after 22 hours:

N = 170 * e^(-k*22)

N = 170 * e^(-22*ln(2)/12)

N = 170 * e^(-11*ln(2)/6)

N ≈ 42.5

Therefore, approximately 42.5 milligrams of the substance will remain after 22 hours.

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer:

see below

Step-by-step explanation:

area of a cylinder = top circle + bottom circle + lateral

r=4 h=5

lateral = perimeter of the circle * height = 2π*4 * 5 =40π

area of a circle = πr² = 16π

top & bottom =32π

total = 40π+32π =72π = 226.08

The surface area of a cylinder exists 72π square units.

A cylinder's surface area is equal to two times the sum of its side and base areas.

Let the equation be

Surface area = 2(base area) + (side area)

The Base area of the equation be

Base area = πr²

When r = 4,

substitute the values in the above equation, we get

Base area = π(4)²

simplifying the equation, we get

Base area = 16 π

side area = 2πrh

side area = 2π × 4 × 5

side area = 40π

The Surface area of the equation be

Surface area = 2(base area) + (side area)

substitute the values in the above equation, we get

surface area = 2 × (16 π) + 40π

simplifying the equation, we get

surface area = 32π + 40π

surface area = 72π

Therefore, the surface area exists 72π square units.

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Answer:

\( \sqrt{ \frac{9}{2} } \)

Answer:

\(x = \sqrt{70} \)

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

b

Step-by-step explanation:

Answer:

Hi! The answer to your question is B. 30 Trees

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

round

Step-by-step explanation:

Answer:

it would be round  or sphere

Answer:

1. The angles of a triangle added up all together is 180. So, we can solve a as an equation!

36+57+a=180.

From this, we can figure out a:

a=87

2. The same goes for this one, just a bit different. We write our equation like this:

3x+90=180

we solve this:

3x=90

we divide both sides by 3 and get:

x=30

Answer:

12.8%

Step-by-step explanation:

25000 - 3200 = 21800

21800/25000 = 87.2%

100 - 87.2 = 12.8

12.8%

ratio between side length AB and side length DE = 1

In a coordinate plane location of a particular point is represented by the

pair of two numerical terms that is bounded by a parenthesis. That is called coordinate pair.

From the triangle ABC and triangle DEF that plotted in the XY coordinate plane, we measured from the point coordinate that side length AB = side length DE

side length DF = side length BC

side length EF = side length AC

we also observed that the three corresponding angles of ABC is equal to the corresponding angles of DEF.

The above statement is true for congruence theorem.

hence the above two triangles are congruent.

from the graph, we find point coordinate A (1,1), B(4, 1), D (-1, 1) and E (-4, 1)

length formula = √(x₂ - x₁) ² + (y₂- y₁) ²

length of AB = √(4-1) ²+ (1-1)² = 3

length of DE = √( -4+1) ²+ (1-1) ² = 3

ratio, n = length AB/ length DE = 3/3 =1

n= 1

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a) The value of p₀=1

b)  The population in the year 2020 is 1.3 billion.

c)  The function f(x)=1.5 billion reaches India's population in the year 2030.

A function is a relationship between two or more inputs, each of which corresponds to exactly one output. A domain and a codomain or range are assigned to each function.

a) Given, The population of India after x years is f(x)=p₀(1.01355)ˣ⁻²⁰⁰⁰

Also in 2000, the population reached 1 billion.

That is when x=2000, f(x)=1

f(2000)=1

p₀(1.01355)ˣ⁻²⁰⁰⁰⁻²⁰⁰⁰=1

p₀×1=1

p₀=1

Hence p₀=1

b) Here the objective is we have to find the population in the year 2020

Then the value of f(x) when x=2020

Hence,

f(2020)=p₀(1.01355)ˣ⁻²⁰²⁰⁻²⁰²⁰

f(2020)=1(1.01355)²⁰

f(2020)=1.3

Therefore, the population in the year 2020 is 1.3 billion.

c) f(x)=1.5

p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5

1×p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5

p₀(1.01355)ˣ⁻²⁰⁰⁰=1.5

ln(p₀(1.01355)ˣ⁻²⁰⁰⁰)=ln(1.5)

(x-2000)ln(1.01355)=ln(1.5)

x-2000=ln(1.5)/ln(1.01355)

x=(ln(1.5)/ln(1.01355))+2000

x=30.12+2000

x=2030.12

Hence in the year 2030, the population might reaches to 1.5 billion.

Therefore, f(x)=1.5 billion

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The complete question is:

In 2000 , India's population reached 1 billion, and its projected to be \( 1.45 \) billion in 2025 . Use the function \( f(x

Show transcribed data

In 2000 , India's population reached 1 billion, and it's projected to be

1.45

billion in 2025 . Use the function

f(x)=P0(1.01355)

x−2000

find the help find the following a) What is p₀

​? billion b) Predict India's population in 2020 to the nearest tenth of a billion. billion c) Use the function to determine the year when India's population might reach

1.5

billion. (Round to the nearest year) Question 21 Out of pocket spending for healthcare in the United States increased between 2000 and 2008 . The function

f(x)=2572e

0.0359x

models the average annual expenditures per household, dollars, In this model,

x

represents the year,

x=0"

Answer: 7

Step-by-step explanation:

First and foremost, we should note that when we estimate 52.14 degrees to the nearest whole number would be 52 degrees.

Also, when we estimate 44.65 degrees to the nearest whole number will be 45. This is because the number in it's tenth place is above 4 which means we'll add 1 to 44 making 45.

Then the best estimate of the number of degrees that the temperature has risen will be the difference between 52 and 45 which is:

= 52 - 45

= 7

Answer:

7

Step-by-step explanation:

Answer: ITS IS THIS or that i dont know what you mean.

Step-by-step explanation: Is this what you're looking for? if you were paying attention you would've KNOWN SO NExt time PAY ATTENTION BUT GOOD LUCK

Answer:

(0,8), (8,-1)

Step-by-step explanation:

Answer:

x < -2

Step-by-step explanation:

1. Original Inequality: 10 – 2(2x + 2) > 14

2. 10-4x-4>14

Distribute the -2 to 2x and 2.

3. Simplify the left side: 6-4x>14

Do 10-4

4. Subtract: -4x>8

Subtract 6 from both sides to get x by itself

5. Divide: x< -\(\frac{8}{4}\)

You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.

6. Simplify: x< -2

7. Check:

10-2(2(-3) +2) > 14

10-2(-6 + 2)

10-2(-4)

10+8

18 > 14

Hello! :)

−4x + 6 > 14 Simplify both sides

−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides

−4x > 8

-4x/-4 > 8/-4 Divide both sides by -4

x < -2 (ANSWER)

Hope this helped you!

THEDIPER

By applying power properties we conclude that the trascendental expression \(\frac{2^{x+5}-2\cdot 2^{x+3}-4\cdot (2^{x+1})-6\cdot 2^{x-1}}{2^{x+4}+36\cdot (2^{x-2})}\) is simplified into the rational expression \(\frac{5}{24}\).

Exponential functions are trascendental functions, these are, expressions that cannot be described algebraically. In this question we must apply power properties to simplify the entire expression. We must use the following properties to simplify the expression:

By applying power properties we conclude that the trascendental expression \(\frac{2^{x+5}-2\cdot 2^{x+3}-4\cdot (2^{x+1})-6\cdot 2^{x-1}}{2^{x+4}+36\cdot (2^{x-2})}\) is simplified into the rational expression \(\frac{5}{24}\).

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The FORTRAN program to compute the sine function and cosine function are written.

Here's the FORTRAN program to compute the sine function using the power series expansion in one line:

program SinFunction

 implicit none

 integer :: i, n

 real :: x, term, result

 write(*,*) "Enter the value of x: "

 read(*,*) x

 term = x

 result = term

 n = 1

 do i = 1, 10

   term = -term * x * x / ((2 * n) * (2 * n + 1))

   result = result + term

   n = n + 1

 end do

 write(*,*) "sin(", x, ") =", result

end program SinFunction

And here's the FORTRAN program to compute the cosine function using the power series expansion in one line:

program CosFunction

 implicit none

 integer :: i, n

 real :: x, term, result

 write(*,*) "Enter the value of x: "

 read(*,*) x

 term = 1.0

 result = term

 n = 1

 do i = 1, 10

   term = -term * x * x / ((2 * n - 1) * (2 * n))

   result = result + term

   n = n + 1

 end do

 write(*,*) "cos(", x, ") =", result

end program CosFunction

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Answer:

#2

63 questions correctly

Step-by-step explanation:

I hope this helps

15 questions 8 incorrect

15/8= 1.875

135/1.875= 72 incorrectly

135 questions- 72incorrectly= 63correct questions

The equation for an exponential that models this data set is: p = 10(2)^t

To determine an equation for an exponential that models the given data set in the form p = a(b)^t, we first need to identify the values of a and b. To do this, we can use two points from the data set and solve for a and b. Let's choose the points (0, 10) and (2, 40):

When t = 0, p = 10: 10 = a(b)^0 = a
When t = 2, p = 40: 40 = a(b)²

Dividing the second equation by the first, we get:

4 = (b)²

Taking the square root of both sides, we get:

b = 2

Now that we have the value of b, we can use one of the original equations to solve for a:

10 = a(2)^0 = a

So, a = 10.

Therefore, the equation for an exponential that models this data set is:

p = 10(2)^t

We can check this equation by plugging in the other data points and verifying that they satisfy the equation. And rounding b to the nearest hundredth gives us b = 2.00.

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Answer:

Step-by-step explanation:

(-3,14)  ; (6 , -1)

x₁ = -3   ; y₁ = 14

x₂ = 6   ;  y₂ = -1

\(Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{-1-14}{6-[-3]}\\\\\\=\dfrac{-15}{6+3}\\\\=\dfrac{-15}{9}\\\\\\m=\dfrac{-5}{3}\)

Slope intercept form: y = mx +b

y = (-5/3)x + b

Plugin x = -3 and y = 14

\(14 = \dfrac{-5}{3}*(-3)+b\\\\14=5+b\\\\\\14 -5 = b\\\\b = 9\)

Slope intercept form:

\(y=\dfrac{-5}{3}x +9\)

Answer:

D, $100.00

Step-by-step explanation:

1. Find out how much what each percent is out of 400

Food - 20% of 400 = 80

Entertainment - 18% of 400 = 72

Savings - 15% of 400 = 60

Misc - 12% of 400 = 48

Clothes - 10% of 400 = 40

2. Subtract the money from 400

400 - 80 = 320

320 - 72 = 248

248 - 60 = 188

188 - 48 = 140

140 - 40 = 100

3. All we have left is 100, so he spent $100 dollars on rent.

The given series, ∑ (n = 1 to ∞) sqrt(2)^n, is divergent.

To determine the convergence or divergence of the series, we need to analyze the behavior of the general term. In this case, the general term is given by n√(2n).

We can use the limit comparison test to examine the convergence of the series. Let's consider the series ∑n√(2n) and compare it with a known series that has a known convergence behavior. We'll choose the harmonic series ∑1/n as our comparison series.

By taking the limit of the ratio of the two series as n approaches infinity, we have:

lim(n→∞) (n√(2n))/(1/n)

Applying algebraic simplification and simplifying the expression inside the limit, we get:

lim(n→∞) (n√(2n))/(1/n) = lim(n→∞) (n√(2n)) * (n/1)

                                    = lim(n→∞) n^2 * √(2n)

                                    = lim(n→∞) √(2n^3)

Now, as n approaches infinity, √(2n^3) also approaches infinity. Thus, the limit of the ratio is infinity.

According to the limit comparison test, if the limit of the ratio is a positive finite number, the two series have the same convergence behavior. If the limit is zero, the series are both convergent or both divergent. However, if the limit is infinity, the series diverge.

In this case, the limit is infinity, indicating that the series ∑n√(2n) diverges. Therefore, the given series is divergent.

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Answer:

p(-2) = -11

p(0) = -3

p(5) = 17

Step-by-step explanation:

Think of p(x) as a y.  Just substitute the x values into the equation, and with some basic algebra, you should get your answer

p(-2) = -3 + (-8) = -11

p(0) = -3 + 0 = -3

p(5) = -3 + 20 = 17

The ratio of the numbers of bananas to the number of oranges is 2:3, thus Ms Rehka bought 48 bananas.

A ratio is a fraction which shows the way of dividing two quantities.

Since the ratio of the numbers of bananas to the number of oranges is 2:3 furthermore there are 24 more oranges to bananas.

Let

Since the ratio of the numbers of bananas to the number of oranges is 2:3, we have that

x:y = 2:3

x/y = 2/3

Also, there are 24 more oranges to bananas. We have that

y = x +24

Substituting y into the ratio, we have

x/y = 2/3

x/(x + 24) = 2/3

Cross-multiplying, we have

3x = 2(x + 24)

Expanding the brackets, we have

3x = 2x + 48

3x - 2x = 48

x = 48

So, Ms Rehka bought 48 bananas.

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Answer:

y=50x

Step-by-step explanation:

The dots rise up by 50 and go right by one. rise/run=slope

There is no y-intercept because the line intersects at the origin, (0,0)

So, the answer is y=50x.

Answer: slope = \(\frac{1}{2}\)

Step-by-step explanation:

        Since we are given a graph with clear points, we will use "rise over run" by counting the units between points upwards and rightwards.

        Since this line is going up from bottom left to upper right, we have a positive slope.

        Starting at (0, -3) we count up one unit and right two units to (2, -2), giving us a slope of \(\frac{1}{2}\).

Answer:

A= 90 , b= 12 , c=60,

Step-by-step explanation:

cuz im smart like that