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The diffusion time of the red blood cell to take oxygen through the membrane is 25uS.

The small capillaries in the lungs are in close contact and it takes a red blood cell 0.5 seconds to squeeze through the capillary.

The diffusion time for the oxygen across the 1 um thick membrane separating the air is given by,

t = x²/2D

Where,

t is the diffusion time,

x is the thickness of the membrane,

D is the diffusion coefficient.

Putting values,

t = (1 x 10⁻⁹)²/2 x 2 x 10⁻¹¹

t = 10⁻⁷/4

t = 25 x 10⁻⁹ seconds.

t = 25 uS.

so, the diffusion time is 25uS.

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Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

The value of 'x' in the rhombus BCDE is, 7 units.

A quadrilateral with all equal sides is a rhombus.

Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposite sides of a parallelogram are equal.

A rhombus has 360° of interior angles total.

A rhombus's adjacent angles add up to 180°.

A rhombus's diagonals are perpendicular to one another and cut each other in half.

From, The property of rhombus that all the sides are of equal length,

We can form an equation, x + 1 = 8.

x = 7.

So, The value of x is 7.

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The event for which the probability can be calculated from the two events given is event B.

Given that:

Mean = 2.5 children per family

Standard deviation = 1.3 children per family

Here, for event B, the sample size is going to take 40.

So, the distribution can be formulated to be approximately normal distribution since the sample size is 40 which is greater than 30.

So, the mean is the same which is 2.5.

The standard deviation can be calculated as 1.3/√40.

So, event B can be calculated for the probability.

Hence the event is event B.

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The complete question is given below:

The distribution of the number of children per family in the United States is strongly skewed right with a mean of 2.5 children per family and a standard deviation of 1.3 children per family.

Event A: Randomly selecting a family from the United States that has 3 or more children.

Event B: Randomly selecting 40 families from the United States and finding an average of 3 or more children.

The probability of one of the two events can be calculated even though the distribution of the population is strongly skewed right. For which event can the probability be calculated?

No, the assertion does not imply that all circles are smooth forms.

The location of all the points on a plane whose sum of the distances from two fixed points in the plane is constant is known as an ellipse. The foci (singular focus), which are fixed locations that are encircled by the curve, are known. Directrix is the fixed line, and the eccentricity of the ellipse is the constant ratio.

No, the assertion does not imply that all circles are smooth forms. Since circles are a particular form of ellipse with a constant distance between any point on the circle's perimeter and its centre, they are a type of ellipse that are not all ellipses. In contrast, some ellipses seem stretched or compressed along their main and minor axes because there are two distinct distances between each point on the ellipse and its centre.

Hence an ellipse that is not a circle, such as one that is extended or flattened, can be a smooth shape. Due to the lack of any abrupt edges or line breaks, these forms are nevertheless regarded as smooth figures.

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Using Double-Angle Formulas, 2 sin(16°) cos(16°)= sin(32°), 2 sin(40°) cos(40°) = sin(80°)., tan(0) = 0.

To simplify the expressions using Double-Angle Formulas and solve the equation.

(a) 2 sin(16°) cos(16°)

Using the Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:

sin(2 * 16°) = sin(32°)

So, the simplified expression is sin(32°).

(b) 2 sin(40°) cos(40°)

Using the same Double-Angle Formula for sine: sin(2x) = 2sin(x)cos(x), we can rewrite the expression as:

sin(2 * 40°) = sin(80°)

So, the simplified expression is sin(80°).

Now, let's solve the given equation:

tan(0) = 0

There is no need to provide a comma-separated list of answers because tan(0) is always equal to 0.

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Answer:

x = 11

Step-by-step explanation:

The angle RST contains both angle QST and QSR

We were also given the angle of RST which was 65

With this information we can assume that the angle measure of QST + QSR will equal the angle measure of 65

SO, we can set this expression up:

65 = QST + QSR

65 = 2x + (3x - 10)

Now to solve for x

65 = 2x + 3x - 10

65 = 5x - 10

+10       +10

55 = 5x

/5      /5

11 = x

Answer:

30 months total

Step-by-step explanation:

15+5=20

600÷20=30

9514 1404 393

Answer:

  32 ft^2

Step-by-step explanation:

The area can be figured several ways. Here are two of them.

__

Add components

The figure can be divided into two smaller rectangles, (b) and (d) in the attached drawing. The area of each is the product of its dimensions.

  Area b = (4 ft)(3 ft) = 12 ft^2

  Area d = (10 ft)(2 ft) = 20 ft^2

Area of the figure is Area b + Area d = 12 ft^2 + 20 ft^2 = 32 ft^2.

__

Subtract white space

The figure is bounded by an overall rectangle that is 10 ft wide and 5 ft high. The area of that rectangle is

  Area a+b+c+d = (10 ft)(5 ft) = 50 ft^2

The area of whitespace 'a' is ...

  Area a = (3 ft)(3 ft) = 9 ft^2

Area c has the same dimensions, so the same area. The area of the figure is the area of the bounding rectangle less the area of the two corner white spaces (a) and (c).

Area of the figure is ...

  Area a+b+c+d -Area a -Area c = 50 ft^2 -9 ft^2 -9 ft^2 = 32 ft^2.

Answer:

Step-by-step explanation:

The vertex is halfway between focus and directrix, at (0,0).

The equation has the form y = ax².

Focal length p = distance between focus and vertex = 1

p = 1/|4a|

1 = 1/|4a|

|a| = ¼

The focus lies below the vertex, so the parabola opens downwards and a<0.

y = -¼x²

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is \(x^2=-4y\)

Given :

a parabola with the focus at (0, -1) and the directrix y= 1

The standard equation of parabola is  \(y-k=\frac{1}{4p} (x-h)^2\)

Focus is at (0,-1)

The midpoint of focus and directrix is the vertex

Directrix is at y=1

Midpoint of (0,-1)  and y=1 is (0,0)

So the vertex is (0,0) that is our (h,k)

Now we find the value of p

The distance between vertex (0,0)  and focus (0,-1) is the value of p

focus  and vertex are 1 unit away. So p=-1

we got h=0 and k=0 and p=-1

Replace all the value in the standard equation

\(y-0=\frac{1}{4(-1)} (x-0)^2\\y=\frac{-1}{4} x^2\\4y=-x^2\\x^2=-4y\)

Equation represents a parabola with the focus at (0, -1) and

the directrix y=1 is \(x^2=-4y\)

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The equation of the circle with a radius of 111 and a center at (9, 5) is:

To determine the equation of a circle, we use the standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) represents the center coordinates of the circle, and r represents the radius.

In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:

(x - 9)^2 + (y - 5)^2 = 111^2

Expanding and simplifying further:

\((x - 9)^2 + (y - 5)^2 = 12321\)

Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:

(x - 9)^2 + (y - 5)^2 = 12321

This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.

To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.

It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.

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Answer:

6

Step-by-step explanation:

2/3, 1 1/3, 2, 2 2/3, 3 1/3, 4

Therefore, the student reads 2,436 pages on Thursday by the given equation.

According to the given information, the student reads three times as many pages on Thursday as on Wednesday. Let's say that the number of pages read on Wednesday is represented by the variable w. Then, we can write the equation:

Pages on Thursday = 3 * Pages on Wednesday

In this equation, we know that Pages on Wednesday = w. So we can substitute w into the equation and get:

Pages on Thursday = 3w

We are also given that on Wednesday, the student read 812 pages. So we can substitute 812 for w and get:

Pages on Thursday = 3 * 812

Simplifying, we get:

Pages on Thursday = 2,436

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Answer:

A ( SAS )

Step-by-step explanation:

Answer:

No mode

Hope this helps!

Step-by-step explanation:

Answer:

In a Euclidean space of any number of dimensions, a plane is uniquely determined by any of the following: Three non-collinear points (points not on a single line). A line and a point not on that line. Two distinct but intersecting lines.

Step-by-step explanation:

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Answer:

\(x=-7; x=11\)

Step-by-step explanation:

Let's bring 10 to the LHS first.

\(x^2-7x-44=0\).

At this point we need two numbers that add to -7 and multiply to -44. From the signs we can tell that the greater of the two is negative, and the smaller is positive. Furthermore, since \(44=11\times 4\)  we found our two suspects: -11 and 4 (which indeed add up to -7)

Now we can factorize the equation as

\((x-11)(x+4) =0\)

which tells us that either \(x-11=0 \rightarrow x=11\) or \(x+7=0 \rightarrow x=-7\)

D). $8,340. is the correct option. The present value of the lease payments is closest to $8,340 (option D).

Explanation: Given data: Annual payment = $2,000Discount rate = 10%

The payments will be made at the beginning of each year. Due to an equal annual payment, this is an annuity payment problem.

We need to find the present value of an annuity of $2,000 for 5 years at a discount rate of 10%.

Let us find the present value of the annuity by referring to the present value of an annuity table provided in Exhibit 14B-

1.The discount factor for 5 years at 10% rate is 3.791.

The present value of an annuity of $1 per year for 5 years at a discount rate of 10% is $3.791.So, the present value of an annuity of $2,000 for 5 years at 10% is:$2,000 x 3.791 = $7,582.

Using rounding off to the nearest whole dollar, we get $7,582. This is not the closest answer among the given options when rounded off to the nearest dollar.

Therefore, we need to check the table for the present value of annuity for 5 years and 10% interest rate for $1 and round off to the nearest dollar to check the closest answer.We get a present value of $7,913.Rounding this value off to the nearest dollar, we get $7,913.

The correct answer would be the value which is closest to $7,913 among the given options. Therefore, option D) $8,340 is closest to $7,913.

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Answer:

noun

1.

a surface of which one end or side is at a higher level than another; a rising or falling surface.

Step-by-step explanation:

steepness

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)

step one: identify two points on the line

step two: select one to be (x1,y1) and the other to be (x2,y2)

step three: use the slope equation calulate slope

2x-3=8+7(+3)

2y-3(+3)=8x+7(+3)

2y=8x+10

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

2y=8x+10

y=4x+5

Answer:

m=4

Answer:

kristen is at 1065

Step-by-step explanation:

The addition is one of the four fundamental mathematical operations. The height of Kristen's balloon and Gigi's balloon are 1065ft and 1110ft respectively.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

Kristen's balloon rises 225 feet

Kristen's balloon falls 105 feet

Kristen's balloon again rises 445 feet

Hence, the height of Kristen's balloon and Gigi's balloon with respect to the ground are 1065ft and 1110ft respectively.

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Answer:

Step-by-step explanation:

Equation:

-3k = 108

We need to separate -3 from k. So we must do the inverse operation.

Divide both sides by -3

k = -36

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Answer:

Step-by-step explanation:

Answer:

y=5 x=-2

Step-by-step explanation:

Answer:

Salary after 9 years: $86,000

Salary after t years: ($2,000×t)+$68,000

The behavior of the function falls to the left and rises to the right.

Given function  f(x)=x^3-4x^2+7,

Firstly identify the degree of the function which is :

3

Now identify the leading coefficient which is :

1

Now, we know that if the degree is odd then the function ends in opposite direction.

And also the leading coefficient is positive which leads to rise of the graph to the right.

By using the degree and leading coefficient we can determine the behavior of the function by using  below statements ;

1. Even and Positive: Rises to the left and rises to the right.

2. Even and Negative: Falls to the left and falls to the right.

3. Odd and Positive: Falls to the left and rises to the right.

4. Odd and Negative: Rises to the left and falls to the right

So the behavior of the function falls to the left and rises to the right.

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To determine the value of the standard normal random variable z for which the area to the right of z is 0.2643, we can use the standard normal distribution table or a statistical software.

The value of z corresponding to an area to the right of z can be obtained by subtracting the given area from 1 since the area to the right is complementary to the area to the left. Therefore, the area to the left of z would be 1 - 0.2643 = 0.7357.

By referring to the standard normal distribution table or using a statistical software, we can find the z-value associated with an area of 0.7357. In this case, the z-value is approximately 0.611, indicating that the value of z for which the area to the right is 0.2643 is approximately 0.611.

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Answer: The expression which must fill in each blank space to complete step 3 is; Choice B; Cos(A)Cos(B).

Which expression must fill in each blank space?

From the task content; It follows that the mathematical evaluation is in a bid to derive the Trigonometric identity for Tan (A-B).

From observation, it follows that the required expression is; cos(A)sin(B). This is because upon division of each term by the expression, the result is as in Step 4.

Answer:

the answer is that tania got  21 correct and 4 incorrect

Step-by-step explanation: