Near a coral reef, a barracuda swam at a steady speed for 4.4seconds. It swam 33meters in that time. What was its speed?
Write your answer to the tenths place.

Answer:

K (- 10, - 2 )

Step-by-step explanation:

To obtain the original coordinates multiply by the reciprocal of \(\frac{1}{4}\)

That is multiply the image coordinates by 4

K' (- 2.5, - 0.5 ) → K (-2.5(4), (- 0.5(4) ) → K (- 10, - 2 )

Answer:

2.0

Step-by-step explanation:

I think this is right

The given statement "a model y = β0 β1x ε, in which y is a binary variable, is called a linear probability model." is False because it is called dichotomous response model

A model in which y is a binary variable, taking on values of 0 or 1, is called a binary or dichotomous response model. The model equation for this type of model is:

y = 1 if p ≥ 0.5

y = 0 if p < 0.5

where p is the probability of y = 1 given the values of the predictors.

The model equation for a linear probability model is:

y = β0 + β1x + ε

where y is a continuous variable bounded between 0 and 1, and β0 and β1 represent the intercept and slope coefficients, respectively. The error term ε is assumed to be normally distributed with mean zero and constant variance.

Linear probability models have some drawbacks, including the possibility of predicting probabilities outside the range of 0 and 1 and violating the assumption of constant variance in the error term. As such, alternative models such as logistic regression are often preferred for binary response data.

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Therefore , the solution of the given problem of unitary method comes out to be $1.5 one apple cost.

To finish a work using the unitary strategy, multiply the quantity by two after computing the size of a small slice. The unit variable technique, which is just an expression, helps to distinguish a coded item from a specific group or collection of groups. For example, 40 pens would cost Rs. 400 (or $1.01 or 400 pounds). There is a chance that one nation will have complete control over the technique used to do this. Almost all living things have a unique trait.

Here,
Given :

=> 3 pound bag of apples cost $16

=> 8 apples in a pound

So,

In 3 pounds there are 3*8 = 24 apples

=> 24/16

=> 12/8

=> 3/2

=> 1.5

Therefore , the solution of the given problem of unitary method comes out to be $1.5 one apple cost.

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a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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Answer:

67.5

Step-by-step explanation:

I've learned this multiple ways but in my opinion this is the easiest. Just times everything together so, 40 x 2.5 x 1.2 which equals 135 and then divide 135 by 2 which equals your answer of 67.5 which is rounded to the nearestt tenth already.

Answer:

132

Step-by-step explanation:

Given arithmetic series:

\(\displaystyle \sum^{12}_{k=1}(37-4k)\)

\(\textsf{Apply\:the\:Sum\:Rule}:\quad \displaystyle \sum a_n+b_n=\sum a_n+\sum b_n\)

\(\implies \displaystyle \sum^{12}_{k=1}37-\displaystyle \sum^{12}_{k=1}4k\)

\(\textsf{Apply\:the\:constant\:multiplication\:rule}:\quad \displaystyle \sum c\cdot a_n=c\cdot \sum a_n\)

\(\implies \displaystyle \sum^{12}_{k=1}37-\displaystyle 4\sum^{12}_{k=1}k\)

Therefore:

\(\implies 37 \cdot 12 - 4(1+2+3+4+5+6+7+8+9+10+11+12)\)

\(\implies 444 - 4(78)\)

\(\implies 444 - 312\)

\(\implies 132\)

The cost function for folding bicycles is given by c ( x ) = 4300 510 x 0.2 x 2 and the demand function p ( x ) = 1530. The production level that will maximize the profit is 2,550 folding bicycles

To maximize profit, you need to find the production level at which the difference between revenue and cost is the greatest. First, let's define the given functions:
Cost function, C(x) = 4300 + 510x + \(0.2x^{2}\)
Demand function, P(x) = 1530
The revenue function can be calculated as the product of price and quantity:
Revenue function, R(x) =P(x) × x = 1530x
Now, the profit function is the difference between the revenue and the cost:
Profit function, π(x) = R(x) - C(x) = 1530x - (4300 + 510x + \(0.2x^{2}\))
Simplify the profit function:
π(x) = 1020x - \(0.2x^{2}\) - 4300
To find the production level that maximizes the profit, you need to find the critical points of the profit function by taking its first derivative and setting it equal to zero:
π'(x) = 1020 - 0.4x
Now, set the first derivative equal to zero and solve for x:
0 = 1020 - 0.4x
0.4x = 1020
x = 2550
Thus, the production level that will maximize the profit is 2,550 folding bicycles.

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Answer:

B. (top right) 6y - 5x = 18

Step-by-step explanation:

Is the equation of the given line

y = -6/5 x - 7?

The x is missing.

If so, then the slope of the given line is -6/5.

A perpendicular line has a slope that is the negative reciprocal of -6/5, so we need a slope of 5/6.

A.

6x - 5y = 30

-5y = -6x + 30

y = 6/5 x - 6

Here the slope is 6/5, so this is not it.

B.

6y - 5x = 18

6y = 5x + 18

y = 5/6 x + 3

This is it.

C.

6x + 5y = 20 has negative slope, so it is not it.

D.

5x + 6y = 42 has negative slope, so it is not it.

In 2.63  hours the prices of the two stocks be the​ same

Two or more expressions with an Equal sign is called as Equation.

Given,

The price of Stock A at 9 A.M. was $12.71.

Price has been increasing at the rate of $0.08 each hour

Price of Stock B was $13.21

The price has been decrease at the rate of $0.11 each hour.

We can write in the form of equation , to find how many hours will the prices of the two stocks be the​ same

12.71+0.08h=13.21-0.11h

0.11h+0.08h=13.21-12.71

0.19h=0.5

Divide both sides by 0.19

h=0.5/0.19

h=2.63

Hence, in 2.63  hours the prices of the two stocks be the​ same

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The fifth term of the sequence is 16, and the answer is 16.

The common difference is 3, and the first term in the sequence is 4.. Therefore, the second term is 4 + 3 = 7, the third term is 7 + 3 = 10, and so on.

To find the fifth term of the sequence, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

where a1 is the first term, d is a common difference, and n is the term number we want to find.

Substituting the given values, we get:

a5 = 4 + (5-1)3

= 4 + 43

= 16

Therefore, the fifth term of the sequence is 16, and the answer is (3) 16.

The complete question is:-

In a sequence, the first term is 4 and the common difference is 3. The fifth term of this sequence is

1) -11

2) -8

3) 16

4) 19

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Answer:

6000 pounds or lbs.

Step-by-step explanation:

A ton=2000 lbs.

Hope this helps! ;-)

Answer:

Step-by-step explanation:

1.Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v. We can use this to get the tangent vectors by taking the respective partial derivatives. Tu=<7, 1, 13> by taking the u derivatives of the components and Tv=<0, -1, 1> by taking the v derivatives of the components.

2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>

3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30. Multiply this by the magnitude of the normal vector to find that Area(S)=30sqrt(294)

4. To integrate, we first must put the initial function in terms of the parameters we found in the first step. Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (sqrt294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6). From here the problem can be integrated like any other double integral, the final answer being 190sqrt(294)

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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ANSWER

[5, ∞)

EXPLANATION

First we have to solve each inequality separately:

And the other inequality

Graphing this solution set:

Solution x ≥ 5 includes solution x ≥ 1, so the solution is [5, ∞)

To find Q1 and Q3, we can utilize the percentile formula: P(k) = (k/100) * (n+1).

Median = 52, Q1 = 32, Q3 = 72, IQR = 40.

Both numbers fall within the acceptable range, there are no outliers.

Given the numbers 72 and 32, we can find the median, Q1, Q3, and interquartile range (IQR). First, we arrange the numbers in ascending order: 32, 72.

Method 1: Using the Percentile Formula

To find Q1 and Q3, we can utilize the percentile formula: P(k) = (k/100) * (n+1), where k is the percentile and n is the number of observations.

For Q1:

P(25) = (25/100) * (2+1) = 0.75

Q1 is the 0.75th observation, which is 32.

For Q3:

P(75) = (75/100) * (2+1) = 2.25

Q3 is the 2.25th observation, which is 72.

Method 2: Using the Median of Subgroups Formula

Divide the observations into two subgroups. Since we have an even number of observations, the subgroups will be equal:

Subgroup 1: 32

Subgroup 2: 72

The median of subgroup 1 is 32, and the median of subgroup 2 is 72. Therefore, Q1 = 32 and Q3 = 72.

Now, we can calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 72 - 32 = 40.

Since both numbers fall within the acceptable range, there are no outliers.

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You're looking for the slope of the line that forms the triangle's hypotenuse (the diagonal). The slope formula's "rise" and "run" parameters are the two "legs" of the triangle. Slope is a climb or a run.

You may determine a line's slope using a slope triangle, which is a visual aid. Slope refers to how steep something is.

Consider ascending 1,000 feet in the air while piloting a plane. You have advanced (horizontally) 3,000 feet when you are 1,000 feet above the ground. You can calculate how steep your rise was using these two measurements.

The inclination is determined by the height at which the plane rises while moving a predetermined distance forward.

To put it another way, it aids in determining the slope of the line linking the plane's starting point and current location.

Triangle with an airplane slope

You may have seen the following slope formula:

Slope: climb / run

The rise is the triangle's vertical distance. Horizontal distance is measured as the run. For our aircraft, we receive:

Slope is equal to 1,000/3,000 feet, or one-third.

In other words, the plane rises one foot vertically for every three feet it moves across the ground.

The ascension of a plane is steeper if it is 2,000 feet above the earth after moving ahead 3,000 feet. It has advanced further vertically for the same horizontal distance. The triangle's slope is less flat in this instance.

Longer is the triangle's horizontal leg.

Slope is defined as: rise/run = 2,000 ft/3,000 ft = 2/3

1/3 is a smaller climb slope for the first airplane than 2/3 is for the second. More steeply ascending is the second aircraft.

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Answer:

x =7

Step-by-step explanation:

To solve this, you must get x by itself.

3x-5 = 16      1.  Add 5 on both sides

3x = 21         2. Divide by 3 on both sides

x = 7

Answer:

A)1/2

Step-by-step explanation:

While discussing on a topic we need to understand, observe, practice and listen and participate in the topic. We should completely involve in the group discussion.

To involve in discussion more effectively we need to understand the topic first. We should explore ideas and exchange information. we should expand and clarify the knowledge. Need to improve the ability to think critically. We should improve  language skills. we need to be confident while speaking. We need to observe how do other students enter into the discussion. we need to identify the main ideas. An easy way to participate is to add to the existing discussion. Start by making small contributions. Do agree with what someone has said or disagree. Ask others to expand on their point.

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Answer:

5.6 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan 34 = x / 8.3

8.3 tan 34 = x

5.59842 = x

To the nearest tenth

5.6 =x

\(3) \: y = \frac{ - 8}{2} ; \: y = - 4\) ✅

Step-by-step explanation:

\(2 \: y = - 8 \\ ⇢  y = \frac{ - 8}{2} \\ ⇢ y = - 4\)

\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}\)

Answer:12or39

Step-by-step explanation:

hope this helps!!

There are 136 cannonballs in the stack outside Captain Miguel Cervantes de Nava's y Colon's barracks window in Sevilla in the year 1842.

As a captain in the Royal Spanish Navy in Sevilla in the year 1842, the number of cannonballs in the stack can be calculated using a simple mathematical formula called the Gauss formula.

The Gauss formula is named after the mathematician Carl Friedrich Gauss and is used to sum up an arithmetic progression.

An arithmetic progression is a sequence of numbers where each number is the sum of the previous number and a fixed number called the common difference. In the case of the cannonball stack, the common difference is 1 as each layer of cannonballs has one more cannonball than the previous layer.

To use the Gauss formula, we need to know the first term, the last term, and the number of terms. In this case, the first term is 1 (the bottom layer has 1 cannonball), the last term is 16 (the top layer has 16 cannonballs), and the number of terms is 16 (there are 16 layers of cannonballs).

Now, we can apply the Gauss formula: sum = (n/2)(first term + last term)sum = (16/2)(1 + 16)sum = 8 x 17sum = 136Therefore, there are 136 cannonballs in the stack outside Captain Miguel Cervantes de Nava's y Colon's barracks window in Sevilla in the year 1842.

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Multiply both sides of the second equation by 2.

Add the obtained equation to the first equation.

Divide both sides of the equation by 10.

Substitute the obtained value of y into the first equation and then solve for x.

Thus, the solution of the equation is (5,3).

9514 1404 393

Answer:

  1 < 15 -2a < 7

Step-by-step explanation:

There are a couple of ways you can do this.

1) Put the minimum and maximum values of a into the expression to see what its corresponding values are:

  15-2a for a=4:

     15-2(4) = 7

  15-2a for a=7:

     15-2(7) = 1

Then ...

  1 < 15-2a < 7

__

2) Solve for a in terms of the value of 15-2a, then impose the limits on a.

  x = 15 -2a

  2a = 15 -x

  a = (15 -x)/2

Now, impose the given limits:

  4 < (15 -x)/2 < 7

  8 < 15 -x < 14 . . . multiply by 2

  -7 < -x < -1 . . . . . . subtract 15

  7 > x > 1 . . . . . . . . multiply by -1

  1 < 15-2a < 7 . . . . . use x=15-2a

_____

The vertical extent of the attached graph is the range of possible values of 15-2a. It goes from 1 to 7.

Answer:

{35} square units

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height.

Formula :- A = B × H

B→ Base

H→ height

Area of the parallelogram = Base × Height

→ Area= 5×7

→ 35

\(-------------\)

hope it helps...

have a great day!!

Answer:

The answer is 35. Its essentially a rectangle but a piece was moved.

Step-by-step explanation:

7x5=35

I'm sorry, but what exactly are the expressions?

If you comment the expression under my answer, I'll edit my answer and actually answer it.

But nobody can answer an expression that doesn't exist-

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer: Perimeter of given square:40,Area of given square:100

Perimeter of Dilated square:200

Area of Dilated square: 2500

Step-by-step explanation: