in a positive number of two digits, the sum of the digits is 15, if the digits are interchanged, the number is increased by 9. Find the number.​

Answers

Answer 1

Answer:

the number is 78

Step-by-step explanation:

call x is the tens digit (0<x<9)

y is the unit digit (0[tex]\leq[/tex]y[tex]\leq[/tex]9)

we have:

10y+x=[tex]\oveline{yx}[/tex] (1)

10x+y= [tex]\overline{xy}[/tex] (2)

acording (1),(2) and the topic we have: (10y+x)-(10x+y)=9 ⇔9y-9x=9

⇔y-x=1 (3)

and x+y=15 (4)

from (3), (4) we have a system of equation

[tex]\left \{ {{y-x=1} \atop {x+y=15}} \right.[/tex]

⇔[tex]\left \{ {2y=16} \atop {x+y=15}} \right.[/tex]

⇔[tex]\left \{ {{y=8} \atop {x+8=15}} \right.[/tex]

⇔[tex]\left \{ {{y=8} \atop {x=7}} \right.[/tex] (conditions are satified)

the number is 78


Related Questions

A rectangle has a perimeter.of 60 m. Find
the length of the rectangle if its breadth is:
10 m

Answers

Answer: 10 M

Step-by-step explanation:

What’s 27/162 reduced to lowest terms?

Answers

ANSWER:
1/6

EXPLANATION:
Both 27 and 162 are divisible by 9, so u divide them by 9.
3/18 is what you get, and both 3 and 18 are divisible by 3, so u divide both by 3 which gives u 1/6



Hi. Please help me. A cone has a volume of 350 cubic meters. The area base is 70 square meters. What is the height of the cone?

Answers

Answer:

Tha answer to your question is 15m

Step-by-step explanation:

pi * r^2 * h / 3

Area of the base = pi*r^2 = 70   so...

350 = 70 * h / 3  

350 = (70/3) * h     multiply both sides by 3/70

350 (3/70) = h = 15 m

Hope this helps you

Answer:

15m

Step-by-step explanation:

Using Fomula- V=AB h/3

h= 3 V/AB= 3· 350/70= 15m

Given the proportion a/b = 8/15, what ratio completes the equivalent proportion a/b

Answers

The ratio completes the equivalent proportion a/b is 16/30.

What is a proportional relationship?

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given proportion is a/b = 8/15.

To get the equivalent proportion multiply both the numerator and denominator by 2 we get

16/30

Multiply both the numerator and denominator by 3 we get

24/45

Therefore, the ratio completes the equivalent proportion a/b is 16/30.

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Find the equation for the tangent plane and the normal line at the point Po(1,3,3) on the surface x2 + 3y2 + 4z2 = 64. + Using a coefficient of 1 for x, the equation for the tangent plane is?

Answers

The equation for the tangent plane at the point (1,3,3) on the surface [tex]x2 + 3y2 + 4z2 = 64 is 2x + 6y + 8z - 71 = 0[/tex].

The equation of the tangent plane at the point (1,3,3) on the surface [tex]x2 + 3y2 + 4z2 = 64 is 2x + 6y + 8z - 71 = 0[/tex]. This equation gives the equation of a plane that has the same normal vector as the surface at the given point and passes through the given point. The normal vector of the surface at the given point can be found by taking the partial derivatives of the surface equation with respect to x, y, and z, and then evaluating the partial derivatives at the given point. The partial derivatives are 2x, 6y, and 8z. When evaluated at (1,3,3), the normal vector is (2,18,24). The equation of the tangent plane can then be found by taking this normal vector and the given point, and using the point-normal form of the equation of a plane. We have the normal vector (2,18,24) and the point (1,3,3). When substituted into the point-normal form of the equation of a plane, we get [tex]2x + 6y + 8z - 71 = 0[/tex], which is the equation of the tangent plane.

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Which statement is true about the function f(x) = 8x³?
The function is even because f(-x) = f(x).
The function is odd because f(-x) = f(x).
The function is even because f(-x) = -f(x).
The function is odd because f(-x) = -f(x).

Answers

Answer:

Step-by-step explanation:

Since −f(x) is constant with respect to f, the derivative of −f(x) with respect to f is 0.0

Side 1/10 original length what fraction of the original surface area is the new surface area

Answers

The fraction of the original surface area to the new surface area is 1/100.

How to find the fraction of the original surface area to the new surface area?

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

Since the ratio of the new side to original length is 1/10.

Thus, the fraction of the original surface area to the new surface area will be the square of the ratio of the length. That is:

fraction of length = new length/ original = 1/10

fraction of area = (1/10)² = 1/100

fraction of area = new area/original area

1/100 = new area/original area

new area = 1/100 * original area

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Cylinder B is the image of cylinder A after dilation by a scale factor of 4. If the surface area of cylinder A is 137 km, find the surface area of cylinder B, the image.

Answers

Answer:

Correct option is C)

Given s= 7m, h=9 m

Lateral surface area = Area of the curved surface =2πrh=2×

7

22

×7m×9m=396m

2

Total surface area = Area of curved surface + Area of two circular surfaces

=2πrh+2πr

2

=396m

2

+2×

7

22

×7m×7m=(396+308)m

2

=704m

2

The surface area of cylinder B is 548 square km.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, cylinder B is the image of cylinder A after dilation by a scale factor of 4.

The surface area of cylinder A is 137 km².

Then the surface area of cylinder B is 4×137

= 548 square km.

Therefore, the surface area of cylinder B is 548 square km.

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given the following histogram for a set of data, how many values in the data set are greater than 10.5 but less than 12.5?

Answers

The number of values greater than 10.5 and less than 12.5 is 5. By adding the frequencies between these quantities, we could get the number.

A histogram is a graph representing frequency distribution of data points in a dataset. In one axis the data points are given, and the other axis is the frequency. It can be used in both discrete and continuous dataset. In discrete data, there will be individual data points and for continuous it will be a range.

Here the given dataset is a continuous dataset. The frequency of datapoints between 10.5 and 11.5 is 2 and frequency between 11.5 and 12.5 is 3. So the total will be 2+3 = 5.

So the frequency or values between 10.5 and 12.5 is 5

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The complete question is in the image.

Determine, whether each set of measures can be the sides of a right triangle.
1) 3,4,5
2) 5,5,10
3) 8,12,13
4) 26,24,10

Answers

1 and 4 are able to be triangle measures


Find and simplify the expression if f(x) = x² - 8.


f(-3)=? (simplify)

Answers

The expression when simplified gives the value as f(-3) = 1.

What are functions?

The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

The given expression is:

f(x) = x² - 8

To find the value of f(-3), substitute the value of x = -3:

f(x) = x² - 8

f(-3) = (-3)² - 8

f(-3) = 9 - 8

f(-3) = 1

Hence, the expression when simplified gives the value as f(-3) = 1.

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Urgent: Pls help we find the right answer:(

Answers

The best description for this distribution is bimodal.

What is the Bimodal ?

Bimodal is a term used in statistics to describe a distribution with two modes, or peaks, in the frequency of occurrence of the values.

The distribution of the values: 3, 3, 5, 4, 3, 2, 5, 6, 5, 1 is best described as:

c. Bimodal

Bimodal means that the distribution has two modes, or peaks, in the frequency of occurrence of the values. In this case, the values 3 and 5 both have a high frequency of occurrence, forming two distinct modes in the distribution.

Therefore, the best description for this distribution is bimodal.

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Based on the same previous scenario, calculate the deviation (score - mean). Square each response and then add the deviation squared. Divide the answer by n. What is the variance?

6, 7, 7, 8, 8, 8, 8, 9, 9, 10.

Answers

Step-by-step explanation:

1.  Calculate the mean of the data: (6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 9 + 10) /    10 = 8

2.  Subtract the mean from each data point to get the deviation:

6 - 8 = -27 - 8 = -17 - 8 = -18 - 8 = 08 - 8 = 08 - 8 = 08 - 8 = 09 - 8 = 19 - 8 = 110 - 8 = 2

3. Square each deviation:

-2^2 = 4-1^2 = 1-1^2 = 10^2 = 00^2 = 00^2 = 00^2 = 01^2 = 11^2 = 12^2 = 4

4. Add up the squared deviations: 4 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 4 = 12

5.Divide the sum of squared deviations by the number of data points (n-1), which is 9 in this case: 12 / 9 = 1.33

Answer:
So, the variance is 1.33.

For the period 1995-2002, the total personal expenditures (in billions of dollars) in the United States for food, f(x), and for housing, h(x), can be described by the equations shown below, where x is the number of years past 1995.†
f(x) = 40.74x + 742.65 and h(x) = 47.93x + 725
Find the year in which these expenditures were equal and the amount spent on each. (Round the year up. Give the amount correct to the nearest whole billion.)
year______
amount ______

Answers

Years: 2.455 years

Amounts: $843 billions

This can be solved by using equation solving method.

What is personal expenditures?

An expense classified as personal is one that is not related to a trade or enterprise, a passive activity, or an investment. Personal consumption spending is often divided into two categories: goods and services. Groceries, automobiles, and fuel are a few examples of products. Rent, medical treatment, and insurance are a few examples of services.

f(x) = 40.74x + 742.65

h(x) = 47.93x +725

For f(x) = h(x),

40.74x + 742.65 = 47.93x +725

47.93x - 40.74x = 742.65 - 725

x (47.93-40.74) = 17.65

x = 17.65 /7.19 = 2.455 years.

2.455 years after 1995, that is in 1998, these expenditures would be equal to each other.

The amount spent on each would be :-

40.74(2.455) + 742.65 = $842.667

= $843 billions.

Years: 2.455 years

Amounts: $843 billions

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Consider the following competing hypotheses: Hop=0, H₁0. The value of the test statistic is z = -3.38. If we choose a 5% significance level, then we
O reject the null hypothesis and conclude that the population mean is significantly different from zero

Answers

The required, we have strong evidence to suggest that the population means is not equal to zero.

What is the null hypothesis?

The null hypothesis, denoted as H0, is a statistical hypothesis that assumes that there is no significant difference between a population parameter and a hypothesized value or between two or more population parameters.

Here,
If we choose a 5% significance level, this means that we are willing to reject the null hypothesis (Hop=0) if the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value under the null hypothesis is less than 5%.

The observed value of the test statistic is z = -3.38. This means that the observed value is 3.38 standard deviations below the mean under the null hypothesis.

We can use a standard normal distribution table or calculator to find the probability of obtaining a z-score as extreme as -3.38 or less. The probability is approximately 0.0004, or 0.04%.

In other words, we have strong evidence to suggest that the population means is not equal to zero, and we can be 95% confident that the true population means falls within a certain range of values (based on the confidence interval).

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Eighth grade V.3 Area and perimeter: word problems 6MY
You have
A
Keith has a tent that is 3 feet wide by 8 feet long. Keith wants to buy a plastic tarp to go
under the tent. The tarps are sold for $1.00 per square foot. How much would it cost to buy a
tarp that is the same size as Keith's tent?
Submit

Answers

The total cost to purchase a tarp that is the same size as Keith's tent is given as follows:

$24.

How to obtain the area of a rectangle?

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

The dimensions for the tarp in this problem are given as follows:

Width of 3 feet.Length of 8 feet.

Hence the area is given as follows:

A = 3 x 8 = 24 square feet.

As the cost is $1.00 per square feet and there are 24 square feet, the total cost is given as follows:

$24.00.

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ATP singles rankings for tennis players rank Rafael Nadal as 2 and Roger Federer as 1. This is an example of an interval scale. True or false

Answers

The required ATP singles rankings for tennis players rank is false.

What are ATP signals?

An interval scale is a type of measurement scale that has equal units of measurement and a zero point, meaning that differences between scale values can be meaningfully compared, but there is no meaningful interpretation of the zero point.

In tennis, ranking points are assigned based on a player's performance in a set number of tournaments over a rolling 52-week period, but the actual number of points assigned to a player is not an interval scale.

Thus, it is incorrect to say that the ATP singles rankings for tennis players are an example of an interval scale.

The given statement is false.

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I’m not sure how to answer these questions can someone help

Answers

Step-by-step explanation:

14/16 = 7/8

3/12 = 1/4

16/28 = 4/7

20. What area of the figure below if one square is 1cm x 1cm? a. 6 cm ² b. 8cm ² c. 10 cm². d. 12cm ²

Answers

The area of figure above is a) 6cm²

Square Area Formula

In addition to the circumference, a square shape also has an area, where the area of a square is calculated by squaring the length of its side.

Formula: Area of square= s²

The question above, the side of square is 1 cm.

so the area of one small square is 1×1= 1cm²

Because the shape is contain of 6 small square, therefore the total area is 6×1cm²=6cm²

Square properties

A square has the following properties

Has 4 equal sides Every angle formed by a side is a right angle Each diagonal bisects the angle formed by the sides The intersection of the diagonals forms a right angle

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Sara went on a holiday for 20 days. It rained on a quarter of the days. On how many days did it rain?

Answers

Step-by-step explanation

So you need to find a quarter of 20. A quarter is equal to 1/4. So to find that take 20 and decide by 4.

So

20/4 = 5

So 5 days it rained

You are given an Isosceles Trapezoid,

If one of the base angles equals 45 then what is the measure of it's opposite angle?

Answers

The measure of trapezoid's opposite angle is 135°. The solution has been obtained by using properties of trapezoid.

What is a trapezoid?

Four sides make up the quadrilateral of a trapezoid, two of which are parallel while the other two are not. It is also referred to as a trapezium. A closed, four-sided form or figure known as a trapezoid has its own perimeter and can enclose an area.

We are given that one base angle is equal to 45°

We know that in a trapezoid

Base angle + Opposite angle = 180°

Using this, we get

⇒45° + Opposite angle = 180°

⇒Opposite angle = 180° - 45°

Opposite angle = 135°

Hence, the measure of trapezoid's opposite angle is 135°.

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20 points for brainliest answer

Answers

The rate of inflation for potatoes was 21%, for oranges it was 40%, and for ground beef it was 67%.

What do you mean by rate?

In mathematics, rate is a concept used to describe the change in one quantity with respect to another. It is usually represented as a fraction or a ratio and can be thought of as a measure of how fast one quantity is changing with respect to another.

For example, the rate of change of position with respect to time is called velocity. The rate of change of velocity with respect to time is called acceleration. Similarly, the rate of change of any function with respect to its independent variable is called the derivative of the function, and it represents the instantaneous rate of change at a given point.

Rate can also be used to describe the relationship between two quantities that are changing at the same time. For example, in economics, the interest rate is the ratio of the amount of interest earned or paid to the amount of money invested or borrowed. In science, the rate of a chemical reaction is the change in the concentration of a reactant or a product over time.

The rate of inflation for each item can be calculated using the formula:

r = (P2/P1)¹/ⁿ - 1

where P1 is the price per pound in 2009 and P2 is the price per pound in the given year, and n is the number of years between the two prices (in this case, n = 1 year).

For Potatoes:

P1 = $0.620

P2 = $0.749

n = 1

r = (0.749/0.620)¹/¹ - 1 = 0.21 or 21%

For Oranges:

P1 = $0.910

P2 = $1.280

n = 1

r = (1.280/0.910)¹/¹ - 1 = 0.40 or 40%

For Ground beef:

P1 = $2.251

P2 = $3.775

n = 1

r = (3.775/2.251)¹/¹ - 1 = 0.67 or 67%

So, the rate of inflation for potatoes was 21%, for oranges it was 40%, and for ground beef it was 67%.

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Adam ran 2/5 mile. Julie ran 3/8 mile. How many more feet did Adam run more than Julie ( A mile is 5780 feet)

Answers

114.9 feet did Adam run more than Julie.

What is Equation?

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

To compare the distances run by Adam and Julie, we need to convert both distances to feet.

Given Adam ran 2/5 mile and Julie ran 3/8 mile.

2/5 of a mile is equal to 2/5 * 5780 = 2312.4 feet

3/8 of a mile is equal to 3/8 × 5780 = 2167.5 feet.

Now let us find the difference between two persons.

So, Adam ran 2312.4 - 2167.5 = 114.9 feet.

Hence, 114.9 feet did Adam run more than Julie.

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The cylindrical part of an architectural column has a height of 325 cm and a
diameter of 30 cm. Find the volume of the cylindrical part of the column. Use
3.14 for 7 and round your answer to the nearest cubic centimeter if needed.
325 cm
30 cm
OA. 76,538 cm³
OB. 918,450 cm³
OC. 229,613 cm³
OD. 73,125 cm³

Answers

Answer:

30/2 = 15cm = r

(Pi)r^2 = area of circle

(Pi)(15)^2 =706.5cm

Area of circle x height = volume

706.5 x 325 = 229613cm^3

please answer the screenshot question

Answers

Answer:

[tex]m\angle C\approx42.774^\circ[/tex]

Step-by-step explanation:

Use the Law of Sines

[tex]\displaystyle \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}\\ \\ \frac{\sin47^\circ}{28}=\frac{\sin C}{26}\\ \\ 26\sin47^\circ=28\sin C\\ \\C = \sin^{-1}\biggr(\frac{26\sin47^\circ}{28}\biggr)\\\\C\approx42.774^\circ[/tex]

The length of a rectangle is 4 in longer than its width.
If the perimeter of the rectangle is 40 in, find its area.

Answers

Answer: 396

Step-by-step explanation:

length- x+4

width - x

perimeter = 40

40 = x+4+x

40-4=2x

36=2x

x=18

length - 18+4=22

width - 18

area = 22*18 = 396

Question 7 of 10
Alex purchased a 2010 model sedan for $24,000. The dealership offered him
a $199/month payment plan for 48 months, at the end of which the unpaid
balance will be due. If the interest rate is 6%, find the balloon payment due at
the end of 48 months.
OA. $19,726.27
OB. $18,153.21
O C. $15,000
OD. $14,448

Answers

The balloon payment due at the end of 48 months is approximately $19,726.27.

Answer choice (A) is the closest option.

What is the present value of an annuity?

Present value of an annuity is a financial concept that refers to the current value of a series of regular and equal payments or cash flows to be received or paid out in the future.

To find the balloon payment due at the end of 48 months, we can use the formula for the present value of an annuity:

PV = PMT x ((1 - (1 + r)^-n) / r)

where PV is the present value of the annuity (i.e. the balloon payment), PMT is the monthly payment, r is the interest rate per month (i.e. 6% / 12 = 0.005), and n is the number of periods (i.e. 48).

We can first find the total amount paid over 48 months:

Total payments = $199/month x 48 months = $9,552

We can then find the remaining balance on the car after 48 months:

Remaining balance = $24,000 - $9,552 = $14,448

Finally, we can use the present value formula to find the balloon payment:

PV = $199 x ((1 - (1 + 0.005)^-48) / 0.005) + $14,448

PV ≈ $19,726.27

Hence, the balloon payment due at the end of 48 months is approximately $19,726.27.

Answer choice (A) is the closest option.

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Answer: I got u ma

Step-by-step explanation:

Which of the following is equivalent

1. 6(a+2)

2. 6a+12

3. 3(2a+4)

Answers

both 1 and 2 are equivalent because 6(a+2) can be simplified to 6a + 12.
All of them I think

can someone tell me how to find last three parts?

Answers

The population in the year 2000 is 1230  students.

The equation for the population, P, of the school t years after 2000 is P = 53t + 1389.

The population of the school in 2015 in 2025 students

How to find the population in the year 2000?

The starting population in 2003 is 1389.

average population growth per year = 53

The population in the year 2000 will be:

number of year = 2000 - 2003 = -3  (3 years back)

population in the year 2000 = 1389 -3(53) = 1230

To find an equation for the population, P, of the school t years after 2000. We can write:

P = 53t + 1389

Using your equation, predict the population of the school in 2015:

t = 2015 - 2003 = 12

P = 53t + 1389

P = 53(12) + 1389

P = 2025 students

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Please help meee
Mr larson only wears his kilts on days he doestn ride his motorcycle. He owns 12 kilts and 10 motorcycles. He randomly picks one each day and returns it when he gets home. If you bumped into mr larson on Monday and Tuesday what is the percent probability that he was riding his motorcycle on both days?
Yall im crying help meee

Answers

On solving the provided question, we can say that there is a probability 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.

What is probability?

Probability theory is an area of mathematics that calculates the likelihood of an occurrence or a proposition being true. A risk is a number in the range of 0 and 1, whereas 1 implies certainty and a probability of roughly 0 indicates how likely an event seems to be to occur. Probability is a mathematical expression of the chance or chances that a given event will occur. Probabilities can alternatively be stated as integers between 0 and 1 or as % from 0% to 100%. the ratio of occurrences among equally likely choices that result in a certain event in comparison to all other outcomes.

Assuming that his decisions for the two days are independent, we must multiply the chance that he rides his motorbike on Monday by the probability that he rides it on Tuesday in order to get the likelihood that he does so on both Monday and Tuesday. Considering that his decisions on the two days are separate, Hence, the likelihood is:

(10/22) x (10/22) = 100/484 = 0.2066 or 20.66%

Hence, there is a roughly 20.66% chance that Mr. Larson rode his motorbike on both Monday and Tuesday.

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Name three acts by the British Crown the Declaration of Independence argued demonstrated the crown's disregard for the natural rights of its subjects? a financial system or budget that has a careful supervision of resources to prevent too much spending or excess is called a(n) . responses economy You are _____ smoke in the restaurant. Read the opening lines of Eleanor Roosevelt's speech "The Struggle for Human Rights."I have come this evening to talk with you on one of the greatest issues of our timethat is the preservation of human freedom. I have chosen to discuss it here in France, at the Sorbonne, because here in this soil the roots of human freedom have long ago struck deep and here they have been richly nourished.What tone do these lines convey? A 53-years old lady was found by imaging to have 50% narrowing in her left renal artery. The change in blood flow for that artery is: (poiseuille Law) A. 13 reduction in flowB. 12 increase in flowC. 1/16 increase in flowD.1/16 reduction in flow technological advances a. rarely result in an increase in productivity. b. always involve buying lots of expensive equipment. c. introduce new techniques or methods so that firms can produce more with less. d. are equally common across all firms. e. are always the result of private-sector innovation. By the early twenty-first century, how were the majority of national borders in Africa determined?by traditional pre-colonial national bordersby historic property rights of African tribesby natural features such as rivers and desertsby the boundaries of former European colonies Can you make 5 sentences using the word mortage which of the follwoing is not one of the three privacy rights created by the supreme courtt through its interpretation of vasious constitutional amendments Please help!! Unit test question 50 pnts!!!! Kyle is applying to be a police officer. In his interview, he describes that he loves watching the news and following current cases. He explains that he is honest, caring, compassionate, and has a very deep sense of integrity. He then explains that he is in excellent physical condition and trains regularly in hand-to-hand combat. He tells them that he is a member of the Police Explorers, a group that trains and rides along with the local police. He also tells them that he graduated at the top of his class and was a state finalist on the mock trial team. Which table accurately lists Kyles personal interests, skills, achievements, values, and experiences? A 2-column table with 5 rows. Column 1 has entries Personal interests, Skills, Achievements, Values, Experiences. Column 2 has entries grades and mock trial finalist; physical condition and training; following cases on the news; honest, caring, compassionate, has integrity; Explorers. A 2-column table with 5 rows. Column 1 has entries Personal interests, Skills, Achievements, Values, Experiences. Column 2 has entries following cases on the news; honest, caring, compassionate, has integrity; grades and mock trial finalist; physical condition and training; Explorers. A 2-column table with 5 rows. Column 1 has entries Personal interests, Skills, Achievements, Values, Experiences. Column 2 has entries grades and mock trial finalist; honest, caring, compassionate, has integrity; Explorers; physical condition and training; following cases on the news. A 2-column table with 5 rows. Column 1 has entries Personal interests, Skills, Achievements, Values, Experiences. Column 2 has entries following cases on the news; physical condition and training; grades and mock trial finalist; honest, caring, compassionate, has integrity; Explorers. Which of the following skill sets is important for the next generation of hard drive engineers to have?#1. Chemistry and physics#2. Motion control#3. Software development#4. All of the above. what is dynamic systems theory? how would this theory account for the development of children's ability to crawl? On Monday it took 5 people 3 and half hours to build a wall. An identical wall needs to be built on Tuesday but only 2 people are available. Each person is paid 9.30 for each hour or part of an hour they work. Work out how much each builder will be paid for the work completed on Tuesday. in command mode, what letter command will have the same effect as hitting the left arrow key? Q2.(2)The parts of the blood can be separated from each other by spinning the blood in a centrifuge.The image below shows the separated parts of a 10 cm blood sample.10 cm35 cm3Plasma-White blood cells and platelets to haRed blood cells7.5cm3(a) Calculate the percentage of the blood that is made up of plasma.