Suppose that a leatherback turtle swam 7.5 kilometers in 3 hours at a constant speed.How many kilometers per hour did the turtle swim?

Answer:

Look at the y axis

Step-by-step explanation:

Each division is 2 units, so look and mark 8,2 carefully
If it confuses you, take 16, 4 as well because I dunno how flexible are your drawing tools
Hope this helps :)

Edit: Sorry but I have just realized what had happened, I took the time variable for the y axis. (Sorry, I am used to using the time variable on the y axis

To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

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An whole score distribution converted to z-scores would not alter the distribution's shape. "True" statement.

Z-scores let statisticians and traders know whether a score falls within the norm for a given data set or deviates from it.

Thus, an whole score distribution converted to z-scores would not alter the distribution's shape.

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Answer:

The square root must be between the square roots of the perfect squares just above and just below your number.

For example the square root of 89 must be between 9 and 10.

Step-by-step explanation:

Answer:

A=2132

Step-by-step explanation:

Solution

A=a+b/ 2h=44+8/ 2·82=2132

To find the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3, we first need to compute the derivative of the function.

f(x) = ln(4sec(x))
f'(x) = (1/sec(x)) * (4sec(x)) * tan(x) = 4tan(x)
Next, we use the arc length formula:
L = ∫ [a,b] √[1 + (f'(x))^2] dx
Substituting in the values, we get:
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
We can simplify this by using the identity 1 + tan^2(x) = sec^2(x):
L = ∫ [0,π/3] √[1 + (4tan(x))^2] dx
 = ∫ [0,π/3] √[1 + 16tan^2(x)] dx
 = ∫ [0,π/3] √[sec^2(x) + 16] dx
 = ∫ [0,π/3] √[(1 + 15cos^2(x))] dx
 = ∫ [0,π/3] √15cos^2(x) + 1 dx
Using the substitution u = cos(x), we get:
L = ∫ [0,1] √(15u^2 + 1) du
This can be solved using trigonometric substitution, but the details are beyond the scope of this answer. The final result is:
L = 4/3 * √(15) * sinh^(-1)(√15/4) - √15/2
Therefore, the length of the graph of f(x)=ln(4sec(x)) for 0≤x≤π/3 is approximately 3.195 units.

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Answer:

x ≥ \(\frac{21}{5}\)

Step-by-step explanation:

Given

\(\frac{5}{18}\) - \(\frac{x-2}{9}\) ≤ \(\frac{x-4}{6}\)

Multiply through by 18 ( the LCM of 18, 9 and 6 ) to clear the fractions

5 - 2(x - 2) ≤ 3(x - 4) ← distribute parenthesis and simplify

5 - 2x + 4 ≤ 3x - 12

9 - 2x ≤ 3x - 12 ( add 2x to both sides )

9 ≤ 5x - 12 ( add 12 to both sides )

21 ≤ 5x ( divide both sides by 5 )

\(\frac{21}{5}\) ≤ x , that is

x ≥ \(\frac{21}{5}\)

P-value of less than 0.05 is typically considered statistically significant, indicating that the relationship between the variables in the regression equation is unlikely to be due to chance.

To find the p-value for the regression equation that fits the given data, you would need to conduct a regression analysis. This involves analyzing the relationship between the variables in the data set and determining whether there is a statistically significant relationship. Unfortunately, the data set you provided does not have any indication of what the variables are or what the regression equation is, so it is impossible to provide a specific answer to your question.
However, if you do conduct a regression analysis and obtain a p-value, you would round your answer to four decimal places as requested in the question. The p-value is a decimal value that represents the probability of obtaining the observed results if the null hypothesis is true. Based on the data provided, we first need to calculate the regression equation. However, the data seems to be presented in an unclear format. Please provide the data as pairs of x and y values, like this: (x1, y1), (x2, y2), (x3, y3), and so on. Once you provide the data in this format, I'll be happy to help you find the p-value for the regression equation, rounded to four decimal places.

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Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer:

44 peppers can be bought for $20.

Step-by-step explanation:

Given that:

The local farm market sells 5 peppers for $2.25

Unit rate = \(\frac{2.25}{5}\)

Unit rate = $0.45

We have to find the number of peppers we can buy with $20.

Let,

p be the number of peppers.

0.45p = 20

Dividing both sides by 0.45

\(\frac{0.45p}{0.45}=\frac{20}{0.45}\)

p = 44.44

Rounding to nearest whole number

p = 44

Hence,

44 peppers can be bought for $20.

Answer:

You can buy 44 peppers

Step-by-step explanation:

I did this in my class and i got it correct so i know its right

Answer:

Q (-4,-5)

R (-4,-8)

P (-10,-5)

S (-10,-8)

Step-by-step explanation:

Let ages of Seema and her mother be “5x” years and “12x” years respectively.

Difference between ages is 21 years

Hence,

12x - 5x = 21

7x = 21

x = 3

Therefore,

Age of Seema = 5 × 3 = 15 years

Age of her mother = 12 × 3 = 36 years

Ratio of ages after three years = ( 15+3 ) / (36+3 )

= 18 / 39

= 6 / 13

= 6 : 13

Answer:

70

Step-by-step explanation:

30 + 40 = 70

I don't know, but has anyone gotten the glitch where someone anwnsers your question, then its deleted?

the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.

A force applied across a distance is what is referred to as work.

In this problem,

the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft).

Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done.Work is a force applied across a distance, and it is measured in a unit of energy called foot-pounds. In this problem, the force applied is the weight of the cable (5 lb/ft) multiplied by the length of the cable (100 ft). Therefore, the work done is equal to the force applied (500 lb) multiplied by the distance (100 ft), resulting in 500 ft-lb of work done. This means that 500 ft-lb of energy must be expended in order to move the cable 100 ft. This energy can be provided by a variety of sources, such as human labor, a motor, or some other mechanism.

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For a study to allow conclusions about causality, researchers must randomly assign participants to conditions and manipulate the independent variable.

For a study to establish causality, there are several key requirements that researchers must adhere to:

Randomly assign participants to conditions:

Random assignment is crucial to ensure that participants have an equal chance of being assigned to different experimental conditions.

By randomly assigning participants, researchers can minimize the potential confounding effects of individual differences and distribute them evenly across groups.

This helps establish a causal link between the independent variable (manipulated condition) and the dependent variable (outcome).

Manipulate the independent variable:

Researchers must deliberately manipulate the independent variable, which is the factor believed to have a causal effect on the dependent variable.

By manipulating the independent variable and observing the resulting changes in the dependent variable, researchers can infer causality.

The manipulation allows for comparisons between different conditions, enabling researchers to draw conclusions about the causal relationship between variables.

Gather a random sample of participants:

It is important to collect a random sample of participants from the target population.

Random sampling helps ensure that the sample is representative of the larger population, increasing the generalizability of the study's findings.

A random sample reduces the risk of sampling bias, where the characteristics of the sample deviate significantly from those of the population.

Control extraneous variables:

To establish causality, researchers must control for extraneous variables, factors other than the independent variable that could influence the dependent variable.

This can be achieved through techniques like random assignment, matching participants on relevant characteristics, or using statistical methods such as regression analysis to account for these variables.

It is worth noting that making sure participants are all of the same socio-economic status is not a requirement for establishing causality.

In fact, including participants with diverse socio-economic backgrounds can enhance the external validity and generalizability of the study's findings.

The focus should be on minimizing confounding variables and establishing a clear causal relationship between the independent and dependent variables.

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Answer:

1/36 is the scale factor

Step-by-step explanation:

Answer 15 years

Step-by-step explanation: 93,150/31,050=3

if you want the number to be multiplied by three you need it to increase by 300%.

300/20=15

31050x(20%x15)=93,150

Answer:

-4

Step-by-step explanation:

If you graph the two coordinates the line is going down, so the answer is going to be negative. The slope is -4/1 but simplified is -4. Hope this helps. Have a great night.

Answer:

Step-by-step explanation:

it will take jocelyn 2 hours to make 120 cookies

Answer:

following square root of a number is. Select the letter of your choice below.

A. 3 and 4. G. 8 and 9

B. 4 and 5. H. 9 and 10

C. 5 and 6. I. 10 and 11

D. 6 and 7. J. 11 and 12

E. 7 and 8. K. 12 and 13

_1. √11. _6.√109

_2.√35. _7.√124

_3.√41. _8.√131

_4.√67. _9.√146

_5.√89 _10.√155

GIVE ME SOME ANSWER JUST FOR MY MO

One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

.......................................

Step-by-step explanation:

The parametric equations for the line through the point p = (-4, 4, 3) that is perpendicular to the plane 2x + y + 0z = 1 are:

The equation of the plane is given by 2x + y = 1Therefore, the normal vector of the plane is N = [2,1,0]A line that is perpendicular to the plane must be parallel to the normal vector, so its direction vector is d = [2,1,0].To find the parametric equations of the line, we need a point on the line. We are given the point p = (-4,4,3), so we can use that.

The parametric equations are:x = -4 + 2t, y = 4 + t, z = 3The point (x,y,z) will lie on the line if there exists some value of t that makes the equations true.At what point q does this line intersect the yz-plane?The yz-plane is given by the equation x = 0, so we substitute this into the parametric equations for x, y, and z to get:0 = -4 + 2tSolving for t, we get t = 2. Substituting this into the equations for y and z, we get:y = 4 + 2 = 6, z = 3So the point of intersection q is (0,6,3).

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Answer:

C. -12-(-15) =3

Step-by-step explanation:

you subtract the two numbers to get the distance.

Answer:

Step-by-step explanation:

392/275 as a fraction

Answer: Yes Sofia will have enough money

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

Explanation:

Refer to the drawing below. I've split the hexagon into two pieces. The bottom is a rectangle and the top is a trapezoid.

The area of the rectangle is 16*7 = 112 square meters.

The trapezoid has 16 as one of the parallel sides. The other side is x meters. We'll use the perimeter 54 to determine what x must be

sum of the exterior sides = perimeter

6+7+16+7+6+x = 54

42+x = 54

x = 54-42

x = 12

The top most side is 12 meters. This is the missing side of the trapezoid. The hexagon has a height of 12.66 meters, so the trapezoid's height must be 12.66-7 = 5.66 meters. Refer to the blue segment I marked in the drawing below.

area of the trapezoid = 0.5*height*(base1+base2)

area = 0.5*5.66*(16+12)

area = 79.24 square meters

----------------

Recap so far

The total area of the entire hexagon is therefore 112+79.24 = 191.24 square meters.

Let's convert that to square decimeters.

Recall that 1 decimeter = 10 centimeters

Multiply both sides by 10

1 decimeter = 10 centimeters

10*(1 decimeter) = 10*(10 centimeters)

10 decimeters = 100 centimeters

10 decimeters = 1 meter

Then,

\(191.24 \text{ sq m}= 191.24 \text{ sq m} * \frac{10 \text{ dm}}{1 \text{ m}} * \frac{10 \text{ dm}}{1 \text{ m}}\\\\= \frac{191.24*10*10}{1*1} \text{ sq dm}\\\\= 19124 \text{ sq dm}\\\\\)

The entire lawn is 19124 square decimeters.

----------------

We have one final block of calculations to determine the total price.

x = number of rolls

1 roll covers 90 square decimeters

x rolls cover 90x square decimeters

90x = 19124

x = 19124/90

x = 212.489 approximately

Round up to the nearest integer to get x = 213. It doesn't matter that 212.489 is closer to 212. We round up to clear the hurdle. It means we'll have leftover grass that isn't used (perhaps it could be handy to have some back up grass just in case mistakes are made, and some patches need to be redone).

In short, Sofia needs 213 rolls.

1 roll costs $4.50

213 rolls will cost 213*4.50 = 958.50 dollars.

This is under the $1000 threshold (with 1000-958.50 = 41.50 dollars to spare).

Sofia will have enough money to pay for all of the grass.

Answer:

A unique triangle will be produced if you are given: all three sides (Side-Side-Side) two sides and the included angle (Side-Angle-Side) two angles and the included side (Angle-Side-Angle)

Step-by-step explanation:

oof sorry I barely realized that I was supposed to select a number....sorry, but hope this helps :)

The decimal number 46.71 is 0.01 more then 46.7.

The given decimal numbers are 0.01 and 46.7.

To add decimals, follow these steps: Write down the two numbers, one under the other, with the decimal points lined up. Add zeros so the numbers have the same length. Then add normally, remembering to put the decimal point in the answer.

Now, 46.7 + 0.01

= 46.71

Therefore, the decimal number 46.71 is 0.01 more then 46.7.