During a biology course, Jacobi learned that the diameter of red blood cells can be written as 6.5x10 to the -3 power millimeters. Express the number of millimeters in the standard notation

Therefore, In the figure, a∥b  angle m∠7 = 34° .

An angle is a figure in Euclidean geometry made up of two rays that share a vertex, or common terminus, and are referred to as the sides of the angle. Angles of two rays lie in the plane containing the rays. Angles can also result from the intersection of two planes. Dihedral angles are the name given to them.

Here,

Given that a and b are parallel lines,

∠3 and ∠7  are corresponding angles and congruent

m∠3 = 34°

thus ,m∠7 =m∠3 = 34°

so, m∠7 = 34°

Therefore, In the figure, a∥b  m∠7 = 34° .

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The solution to the differential equation is y = ∫cos(x)e^xdx / e^x.

A. To compute the integrating factor for a given differential equation, we use the following steps:

1. Write the given differential equation in the form of y' + P(x)y = Q(x).
2. Identify the coefficient of y as P(x) and the right-hand side of the equation as Q(x).
3. Compute the integrating factor (IF) using the formula IF = e^(∫P(x)dx).

B. To solve the differential equation by hand using the integrating factor, follow these steps:

1. Compute the integrating factor (IF) using the formula IF = e^(∫P(x)dx) from step A.
2. Multiply both sides of the differential equation by the integrating factor.
3. Simplify and rearrange the equation to get it in the form of (IF * y)' = IF * Q(x).
4. Integrate both sides of the equation to solve for y.

C. To use technology to find the solution to the differential equation and compare it with the solution found by hand, follow these steps:

1. Use software or a calculator with an integral function to compute the integrating factor and solve the differential equation.
2. Compare the solution obtained using technology with the one found by hand to check for consistency and accuracy.

D. To draw the slope field for the differential equation and plot the solution on it using technology, follow these steps:

1. Use software or an online tool capable of drawing slope fields to graphically represent the differential equation.
2. Plot the solution obtained in step C on the slope field to visualize how it fits with the slope vectors.

Now let's apply these steps to the given differential equations:

1. For the equation y + 3y = 2 with initial condition

y(0) = 4:
A. The coefficient of y is 1, so P(x) = 1 and

Q(x) = 2.

The integrating factor is IF = e^(∫P(x)dx)

= e^(∫1dx)

= e^x.
B. Multiply both sides of the equation by e^x:

e^xy + 3e^xy = 2e^x.
  Simplify and rearrange: (e^x * y)' = 2e^x.
  Integrate both sides: e^x * y = 2e^x + C.
  Solve for y: y = 2 + Ce^(-x).
  Using the initial condition y(0) = 4, we find

C = 2.
  Conclusion: The solution to the differential equation is y = 2 + 2e^(-x).

2. For the equation y + y = ?

with initial condition y(0) = 1:
A. The coefficient of y is 1, so P(x) = 1 and

Q(x) = ?.

The integrating factor is IF = e^(∫P(x)dx)

= e^(∫1dx)

= e^x.
B. Multiply both sides of the equation by e^x: e^xy + e^xy = ?e^x.
  Simplify and rearrange: (e^x * y)' = ?e^x.
  Integrate both sides: e^x * y = ?e^x + C.
  Solve for y: y = ? + Ce^(-x).
  Using the initial condition y(0) = 1,

we find C = 1 - ?.
  Conclusion: The solution to the differential equation is y = ? + (1 - ?)e^(-x).

3. For the equation y + y = cos(x):
A. The coefficient of y is 1, so P(x) = 1 and

Q(x) = cos(x).

The integrating factor is IF = e^(∫P(x)dx)

= e^(∫1dx)

= e^x.
B. Multiply both sides of the equation by e^x: e^xy + e^xy = cos(x)e^x.
  Simplify and rearrange: (e^x * y)' = cos(x)e^x.
  Integrate both sides: e^x * y = ∫cos(x)e^xdx.
  Solve for y: y = ∫cos(x)e^xdx / e^x.
  Use technology or a table of integrals to evaluate the integral.
  Conclusion: The solution to the differential equation is y = ∫cos(x)e^xdx / e^x.

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Answer The formula df = (c – 1) (r – 1) is used to find the degree of freedom – The degree of freedom of the chi-square test is calculated by the formula df = (c – 1) (r – 1), where c represents the column number of cell and r represents the row number of the cell.

Answer:

His commission was $247.50

Step-by-step explanation:

Percentage

Joquan's brother earns a  2.5% commission on the amount he sells.

Last week, he sold $9,900 worth of shoes, thus his commission will be calculated as follows:

2.5% of $9,900 = 2.5 *$9,900 / 100 = $247.50

His commission was $247.50

The correct options for the given polynomial are:

To analyze the end behavior of a polynomial we need to look at the degree and the sign of the leading coefficient.

Remember that the degree is the largest exponent of the polynomial.

Here we can see that the degree is 12, so it is even.

And the leading coefficient (the coefficient in the term with the largest exponent) is -10, so it is negative.

Then the first correct option is:

NEG/EVEN

That means that in both ends the polynomial tends to negative infinity, so:

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Answer:

u haven't attached anything

but if u need any help ask the question again or put it in the comments

ur welcome

Answer:

free points

Step-by-step explanation:

The polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, then remainder is -1/(x + 2).

What is the Polynomial Division?

A polynomial is divided by another polynomial in an arithmetic operation called division, usually with a lower degree than the dividend. A polynomial may or may not be produced when two polynomials are divided.

To perform the polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, we can use the standard long division algorithm. Here are the steps:

x + 2 | x⁸ + 0x⁷ + 0x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x - 1

   - x⁸ - 2x⁷

   ------------

         2x⁷ + 0x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x

         2x⁷ + 4x⁶

         ----------

                   - 4x⁶ + 0x⁵ + 0x⁴ + 0x³ + 0x² + 0x

                   - 4x⁶ - 8x⁵

                   ------------

                              8x⁵ + 0x⁴ + 0x³ + 0x² + 0x

                              8x⁵ + 16x⁴

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

                                        -16x⁴ + 0x³ + 0x² + 0x

                                        -16x⁴ - 32x³

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

                                                     32x³ + 0x² + 0x

                                                     32x³ + 64x²

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

                                                                 -64x² + 0x

                                                                 -64x² - 128x

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

                                                                          128x - 1

Therefore, we have:

(f(x))/(d(x)) = Q(x) + (R(x))/(d(x)) = x⁷ - 2x⁶ + 4x⁵ - 8x⁴ + 16x³ - 32x² + 64x - 128 + (-1)/(x + 2)

Hence, the polynomial division of f(x) = x⁸ - 1 by d(x) = x + 2, then remainder is -1/(x + 2).

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The critical value of t for constructing a 99% confidence interval with a sample size of 30 and a sample standard deviation of 0.05 is 2.7564.

A confidence interval is a range of values within which the population parameter is estimated to lie with a certain level of confidence. In this case, we are constructing a 99% confidence interval for the population mean. The critical value of t is used to determine the width of the confidence interval.

The formula for calculating the confidence interval for the population mean is:

Confidence interval = sample mean ± (critical value) * (standard deviation of the sample / square root of the sample size)

Given that the sample size is 30 (n = 30) and the standard deviation of the sample is 0.05 (S = 0.05), we need to find the critical value of t for a 99% confidence level. The critical value of t depends on the desired confidence level and the degrees of freedom, which is equal to n - 1 in this case (30 - 1 = 29). Looking up the critical value in a t-table or using statistical software, we find that the critical value of t for a 99% confidence level with 29 degrees of freedom is approximately 2.7564.

Therefore, the 99% confidence interval for the population mean would be calculated as follows: sample mean ± (2.7564) * (0.05 / √30). The final result would be a range of values within which we can be 99% confident that the true population mean lies.

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Answer:

17

Step-by-step explanation:

\(2\times 3^2-1\)

We can solve this by follow PEMDAS order of operations:-

1) Exponents

\(2\times \:9-1\)

2) Multiplication

\(18-1\)

3) Subtraction

\(17\)

~

Hope this helps!

Answer:

Those angles are in opposite either in vertical or horizontal. They are opposite angles

Answer:

Third one : y + 1 = 3(x - 2)

Step-by-step explanation:

The standard form is y - y1 = m(x - x1)

Answer:

1) A = 48 sq units  2) 42 sq units

Step-by-step explanation:

The formula to find the area of a trapezoid of a trapezoid is A = 1/2(b1+b2)h.

So for number 1, it is stated that the height of each unit is 2. Now let's substitute the variables in the formula with the actual bases and heights. I got A = 1/2(8+4)8, A=6*8, A=48 sq units.

For number 2, each unit also has a height of 2. Let's substitute the variables in the formula again. And we get A = 1/2(10+4)6, A = 7*6, A = 42 sq units.

This is how you find the areas of the trapezoids!

Answer:

On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.

Answer:

\(\frac{3x^2}{y}\)

Answer:

D. {1}

Step-by-step explanation:

F(x)=3x−1

Let F(x) =2

2 = 3x-1

Add 1 to each side

2+1 = 3x-1+1

3 =3x

Divide by 3

3/3 = 3x/3

1 =x

The probability of a family having three males and two females can be calculated using the concept of binomial probability.

In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.

There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").

The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.

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Answer:

-17 9/10

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28

Answer:

There is No real solutions.

Step-by-step explanation:

Answer:

The range is 8.

Step-by-step explanation:

5-(-3)=8

Answer:

Step-by-step explanation:I believe it’s A sorry if I’m wrong.

Based on the given angles, the missing answers of the sequences uploaded screenshots are:

The following answers are constructed based on the sequences of each problems not as the sequences of the uploaded screenshots.

3. Since ∠1 + ∠2 = 180°; then both are supplementary angles

4. Both ∠1 and ∠2 have equal size of angle and share no adjacent side; then both are vertical angles

5. 116° + 64° = 180°; then both are supplementary angle

8. Angles ∠3 and ∠4 are adjacent supplementary because it shares an adjacent side and its sum is 180°.

10. Angles ∠3 and ∠5 are vertical since they share no adjacent side but have equals size of angle.

12. Angles ∠1 and ∠5 are adjacent but neither complementary or supplementary because it sums are not 90° either 180°.

13. x and 107° are vertical angles; then:

x = 107°

15. x and 142° are supplementary angles; then:

x + 142° = 180°

x = 38°

17. ∠RST = 112°

∠RST = x + 87° = 112°

x = 35°

19. It is given that:

x + 127 = 180°

x = 53°

x = y = 53°

y + z = 90°

53° + z = 90°

z = 37°

21. ∠G + ∠H = 180°

51° + ∠H = 180°

∠H = 129°

22. ∠1 = ∠2

∠2 = 128°

23. ∠J + ∠K = 90°

∠J + 73° = 90°

∠J = 17°

2. Corresponding angles and congruent

4. Alternate interior angles and congruent

6. Consecutive interior angles and supplementary

8. Alternate exterior angles and congruent

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Carla's behavior of putting in extra practices to become faster can be seen as an example of (Option A.) compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

Carla's behavior of putting in extra practices to become faster can be seen as an example of compensation. This is because she is trying to make up for her perceived lack of speed by working harder to become as fast as her teammates.

By engaging in extra practices, Carla is attempting to compensate for her lack of speed and improve her performance. This is different from rationalization, which is the act of making excuses for one's behavior, or from regression, which is the act of reverting to a younger age in response to a stressful situation.

Finally, displacement is the act of redirecting one's emotions or anger onto another person or object.

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Answer:

4668

Step-by-step explanation:

you would just multiply 778 by 6

778*6=4668

The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

If a current flows at 5 mph. A boat can travel 20 mi downstream in the same amount of time it can go 12 mi upstream. The speed of the boat in still water is 20mph.

Boat speed x mph

Current speed 5 mph

Against current x - 5 mph

With current x + 5 mph

Distance against current 12

Distance with current 20

Time = same equate the time against with time with current

t=d/r

12 /(x- 5)= 20 /(x+ 5)

12 ×(x+ 5 )= 20 ×(x- 5 )

12 x + 60= 20 x -100

12 x -20 x = -100 + -60

-8x = -160

x = -160/-8

x= 20 mph

Therefore the speed of the boat in still water is 20mph.

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Answer:

ether:

y= 1/3 = 0.333

OR

y= 3/2 = 1.500