There's a roughly linear relationship between the length of someone's femur (the long leg-bone in your thigh) and their expected height. Within a certain population, this relationship can be expressed using the formula h=63.8+2.39fh=63.8+2.39f, where hh represents the expected height in centimeters and ff represents the length of the femur in centimeters. What is the meaning of the ff-value when h=169h=169?



A:The femur length for someone with an expected height of 169 centimeters.


B:The change in expected height for every one additional centimeter of femur length.


C:The expected height for someone with a femur length of 169 centimeters.


D:The femur length for someone with an expected height of 44 centimeters.

Answer: ok i kown

Step-by-step explanation:

i kown

Step-by-step explanation:

\(( - \frac{3}{5} ) \times ( - 15) = \\ = \frac{3}{5} \times 15 = \\ = 3 \times 3 = 9\)

a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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Answer:

\(0.39,\frac{1}{2},0.6,\frac{2}{3}\)

Step-by-step explanation:

Since \(\frac{1}{2}=0.5\), this would go behind \(0.6\), and since \(\frac{2}{3}=0.6\bar{6}\), this would go in front of \(0.6\)

Hence, the order of the numbers from least to greatest would be \(0.39,\frac{1}{2},0.6,\frac{2}{3}\)

Answer:

3/4

Step-by-step explanation:

Answer: t+7= 13

Step-by-step explanation:

Jermaine has "t" trading cards whereas Jasmine has 7, together they make 13 trading cards.

So t+7= 13.

(t=6)

The area after 15 years is 517.40km²

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600\((0.9275)^{t}\)

here we put t=15, then we get

y=1600\((0.9275)^{15}\)

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

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"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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Answer:

The area of the shape is 3m³ square centimetres.

Step-by-step explanation:

We know that the area of single square is m² cm².

There are m squares per row, so for the area of the row, we multiply that by m, giving us m³ cm².

Finally, we know that there are three rows, so we need to multiply that by three, giving a total area of 3m³ cm²

Here is the answer to your question.Q1: Using MATLAB instruction:\(\[ z_1=[2+5 i 3+7 i ; 6+13 i 9+11 i], z_2=\left[\begin{array}{lll} 7+2 i & 6+8 i ; 4+4 s q r t(3) i & 6+s q r t(7) i \end{array}\right] \] i.\) Find z1z2 and display the result in rectangular form.

Since the sizes of z1 and z2 are compatible, we can multiply them. The MATLAB code for multiplying z1 and z2 is shown below:>>z1

=\([2+5i 3+7i; 6+13i 9+11i]; > > z2=[7+2i 6+8i; 4+4*sqrt(3)*i 6+sqrt(7)*i]; > > z1z2=z1*z2 The result of z1z2 is:z1z2\)

=  -39.0000 + 189.0000i  -50.0000 - 97.0000i -152.0000 - 50.0000i  -42.0000 +154.0000iTo represent the result in rectangular form, we need to use the real() and imag() functions to get the real and imaginary parts of the product. .

Then, we can combine these parts using the complex() function to get the result in rectangular form. The MATLAB code for this is shown below:>>rectangular_result

= complex(real(z1z2), imag(z1z2))

=  -39.0000 + 189.0000i  -50.0000 - 97.0000i -152.0000 - 50.0000i  -42.0000 +154.0000i

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Answer:

girth is better than length. your welcum ;)

To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).

To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.

The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.

By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

The LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.

We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra.

Here, we refer to these letters as variables.

So, we have the expression:

(−18−−−√3)3+334=(−183)3 + 334

Now, check it as follows:

(−18√3)3+334=(−183)3 + 334

-93.531+334=-549+334

240.469= -215

Ans: FALSE

Therefore, the LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.

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Correct question:

Evaluate the expression: (−18−−−√3)3+334=(−183)3 + 334=?

To find the volume of the can, we can use the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

Given:

Diameter = 3.5 inches

Radius = Diameter / 2 = 3.5 / 2 = 1.75 inches

Height = 5 inches

Using π = 3.14, we can substitute the values into the volume formula:

Volume = 3.14 * (1.75^2) * 5

Calculating the expression:

Volume ≈ 3.14 * 3.0625 * 5

Volume ≈ 48.08 cubic inches

Rounding the answer to the nearest hundredth, the volume of the can is approximately 48.08 cubic inches.

Therefore, the correct option is: 48.08 cubic inches.

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Answer:

y-intercept is (3,0)

x-intercept is (0,3)

Step-by-step explanation:

Answer:

y-intercept ⇒ (0, 3)

x-intercept ⇒ (3, 0)

Step-by-step explanation:

The question asks us to find the x and y-intercepts for the following equation:

\(-7x -7y=-21\)

• Let's calculate the y-intercept first:

The point where a line crosses the y-axis is called the y-intercept. At this point, the value of the x-coordinate is 0.

Therefore, to find the y-intercept, we simply have to substitute x = 0 into the given equation and solve for y:

\(-7(0) - 7y = -21\)

⇒ \(-7y = -21\)

⇒ \(y = \frac{-21}{-7}\)                  [Dividing both sides of the equation by -7]

⇒ \(y = \bf 3\)  

Therefore, the y-intercept is (0, 3).

• Now let's calculate the x-intercept:

Similar to the y-intercept, the x-intercept is the point where the line crosses the x-axis and the value of the y-coordinate at this point is 0.

Therefore, substituting y = 0 into the given equation and solving for x, we get:

\(-7x -7(0) = -21\)

⇒\(-7x = -21\)

⇒ \(x = \frac{-21}{-7}\)                 [Dividing both sides of the equation by -7]

⇒ \(x = 3\)

Therefore, the x-intercept is (3, 0).

After performing the linear regression evaluation, the equation of the regression line is:

(i) y = 1.40x + 1.45

To locate the linear regression line for the given records, we will use a statistical software program or a calculator. By analyzing the data points, we can decide the equation of the road that satisfactorily represents the connection between the hours of the stand being open (x) and the profit (y).

After performing the linear regression evaluation, the equation of the regression line is:

y = 1.40x + 1.45

This equation shows that for each extra hour the stand is open, the profit increases by using $1.40. The y-intercept, represented with the aid of the regular term 1.45, shows that although the stand isn't always open, there may be nevertheless a base income of $1.45.

The linear regression line for the given statistics indicates a positive relationship between the hours of the stand being open and the earnings earned. As the hour's increase, the earnings have a tendency to increase as nicely.

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The correct question is:

The linear regression line for the given data is y = 1.28x + 2.93. This equation represents the relationship between the hours the stand is open (x) and the corresponding profit (y).

To find the linear regression line for the given data, we can use statistical software or a calculator. The linear regression line represents the best fit line through the data points.

First, we list the given x and y values:

x: 1, 2, 3, 4, 5, 6, 7

y: 3.58, 5.18, 6.24, 7.97, 7.09, 8.31, 11.33

Using the software, we calculate the linear regression line. The result is y = 1.28x + 2.93, rounded to two decimal places.

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QUESTION

gabriel and raj were running a lemonade stand at the local park. they decided to pay their sister to operate the stand. the following values represent the profit y after x hours of the stand being open. using a calculator or statistical software, find the linear regression line for the data. enter your answer in the form y =mx+b, with m and b both rounded to two decimal places.

X    Y

1   3.58

2   5.18

3   6.24

4    7.97

5   7.09

6    8.31

7    11.33

Answer:

Students in her classes At the beginning of the semester, but 13 students withdraw from her classes before Test three. So now she has 150 students. If she has one classes in total, in each class has an equal number of students. How many students are in each class round your answer to the nearest ones? Well, first of all, if she only has one class, then there's 150 students in that class is or class, this is the middle school math teacher signing out.

lazyuser30

Answer:

this is just a hint

Step-by-step explanation:

the question measures 6.EE.7 because it asks the student to solve a real-world problem by writing an equation of the form px=qpx=qpx=q for a case in which p,qp,qp,q and x are all non-negative rational numbers. In this case the equation includes a division expression and shows the total cost of $13.50\$ 13.50$13.50 divided by 666, the number of spiral notebooks.

Answer:

first off i just want to say i hate aleks but ill still give the answer

Step-by-step explanation:

1.75^-0.5 = 0.75592894

3/2^2.4 = 2.6461778

To dilate a point at a point, you start by selecting a center of dilation and a scale factor.

Then, for each point that you want to dilate, you do the following:

For example, if you wanted to dilate point P by a scale factor of 2, with the center of dilation at O, you would draw a line segment from O to P, double its length, and then draw a new line segment from O to the new point, using the new length that you calculated. The new point would be the point that you arrive at when you complete this line segment.

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Answer:

25 students peer teacher, 22 students per tutor, 4 tutors for 81 students

Step-by-step explanation:

You need to find the unit rate,

for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.

Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.

The distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.

The distribution of X, representing the IQ of an individual from the ruling species on the faraway planet, is a normal distribution with a mean (μ) of 106 and a standard deviation (σ) of 18. This can be denoted as X ~ N(106, 18), where "N" represents the normal distribution.

In this distribution, the majority of IQ values will cluster around the mean of 106. The standard deviation of 18 indicates the average amount of variation or dispersion from the mean. The normal distribution is symmetric, which means that the probabilities of IQ values being above or below the mean are equal.

The shape of the normal distribution is bell-shaped, with the highest point being at the mean. As we move away from the mean, the probability of observing extreme values decreases. The spread of the distribution is determined by the standard deviation, where a larger standard deviation indicates a wider spread of IQ values.

the distribution of X follows the characteristics of a normal distribution with a mean of 106 and a standard deviation of 18, reflecting the IQ distribution of the ruling species on the faraway planet.

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On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 106 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual.  What is the distribution of X? X ~ N( 106 , 18 )  

Answer:

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

Step-by-step explanation:

Rows and columns of numbers are arranged in a matrix.

The term "matrix" refers to an assortment of numbers put up in rows and columns to form a rectangular array. The elements, or entries, of the matrix are the integers. A rectangular table of numbers is known as a matrix, or more generally, a table made up of abstract quantities that may be multiplied and added.

In a matrix, the horizontal lines are referred to as rows, and the vertical lines as columns. An m-by-n matrix is one that has m rows and n columns; m and n are referred to as the matrix's dimensions. Always list the number of rows before listing the number of columns when describing a matrix's dimensions.

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Answer:

x = 25

Step-by-step explanation:

3x + 5 + 5x - 25 = 180 (collect like terms)

8x - 20 = 180 (add 20 on both sides)

8x = 200 (divide by 8 on both sides)

x = 25

Since they are supplementary that mean together they add up to 180 so that's why I added them together.

Answer:

B

Step-by-step explanation:

The slope is 4.

Let's find the slope between your two points.

(1,−2); (3,6)

(x1,y1) = (1,−2)

(x2,y2) = (3,6)

Use the slope formula:

m = y2−y1 / x2−x1

= 6− −2 / 3−1

= 8 / 2

= 4

Answer:

m = 4

Answer:

B. 4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Point A: (3, 6), This will be the x1 and y1

Point B: (1, -2) , This wil be the x2 and y2

So:

m = (-2 - 6) / (1 - 3)

= -8 / -2

= 4

Answer:

A

Step-by-step explanation:

Answer:

A) y ≥ 350x + 17,000

Step-by-step explanation:

If 17,000 is the original, you won't multiply or divide it by x. But since it goes up by at least 350 each year you will multiply by x.

So to set it up, you will have 350x + 17,000, and since it's at least, you will have a great than or equal to sign (≥)

y ≥ 350x + 17,000

(a) The critical numbers is -3.

(b) The open intervals where the function is increasing is  (-∞, -3).

(c) The open intervals where is decreasing when the interval is (-3, ∞).

Now let's look at function, f(x) = (x+9)/(x+2)³. To find the critical numbers of this function, we need to find where the derivative is equal to zero. The derivative of this function can be found using the quotient rule and is:

f'(x) = [(x+2)³ - 3(x+2)²(x+9)]/(x+2)⁶

Setting this equal to zero and solving for x, we get x = -3. So, the critical number of the function is -3.

If the derivative is positive, the function is increasing. If the derivative is negative, the function is decreasing.

To the left of the critical number (-3), the derivative is negative (since (x+2)³ - 3(x+2)²(x+9) is negative for x < -3).

Therefore, the function is decreasing on the interval (-∞, -3).

To the right of the critical number, the derivative is positive (since (x+2)³ - 3(x+2)³(x+9) is positive for x > -3). Therefore, the function is increasing on the interval (-3, ∞).

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The formulas for the rigid transformations of the figures are listed below:

Case 1: (x, y) → (x - 10, y + 9)

Case 2: (x, y) → (- y, x)

Case 3: (x, y) → (- x, y)

Case 4: (x, y) → (- y, x)

Case 5: (x, y) → (x, - y)

Case 6: (x, y) → (x, y + 10)

In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:

Then, by direct inspection, we derive the following rigid transformations:

Case 1 (Translation)

(x, y) → (x - 10, y + 9)

Case 2 (Rotation)

(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))

(x, y) → (- y, x)

Case 3 (Reflection about y-axis)

(x, y) → (- x, y)

Case 4 (Rotation)

(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)

(x, y) → (- y, x)

Case 5 (Reflection about x-axis)

(x, y) → (x, - y)

Case 6 (Translation)

(x, y) → (x, y + 10)

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Answer:

\(x = 6\)

Step-by-step explanation:

\(x = 6\)

is the answer.,