If universal set U = { 1, 2, 3.......10 } A = {factor of 6} B = {factor of 8} and C= {factor of 9} then show (A intersection B intersection C (colon ) in Venn diagram by Shading ​

Answer:

Read below

Step-by-step explanation:

If there are 12 marbles it could split up many different ways for it to be equal among every color. 4 of each for 3 colors or 3 of each for 4 colors. The list goes on you could even have 12 different colors.

Answer:

I think it's the second one, by using the process of elimination and knowing there are 12 in total we could simplify it and that can equal 1/6 and 1/6 is 5 sections 1 coin. You see what I mean.

Step-by-step explanation:

I think it's wrong, looking forward to another week of punishment. Hooray. Woo-Hoo, yay.

The length of a person’s forearm if the length of their foot is 8 inches.

A linear equation is an equation that describes a straight line on a graph. It is an algebraic equation that involves two variables, usually x and y, and can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope of a line is the measure of the steepness of the line, or how much it rises or falls for a given change in x. It can be calculated as the change in y divided by the change in x between any two points on the line.

The y-intercept is the point where the line crosses the y-axis, or the value of y when x is zero.

Let

x ----> Length of Foot in inches

y ----> Length of Forearm in inches

we have

y=1.11x-0.83

For x=8 in

To find y, change the value of x in the linear equation.

y=1.11(8)-0.83=8.05in

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The complete question is :

The data on the graph show the foot lengths and forearm lengths for a group of people. The line of best fit for the data is shown. Use the equation of the line of best fit to predict the length of a person’s forearm if the length of their foot is 8 inches.

A graph is labeled as Foot Length versus Forearm Length. The horizontal axis is labeled as Length of Foot left parenthesis inches right parenthesis and the vertical axis is labeled as Length of Forearm left parenthesis inches right parenthesis. The values on the horizontal axis range from 0 to 15 in increments of 1 and the values on the vertical axis range from 0 to 15 in increments of 1. Several points are scattered throughout the graph and a line is shown which passes between these points and the equation of the line is labeled as y equals 1 decimal point 1 1 x minus 0 decimal point 8 3.

A.8.88 inches

B.6.94 inches

C.9.16 inches

D.8.05 inches

If alpha specialize in growing apples beta specialize in growing oranges the both could gain profit by the trade is true for the statement

Comparative advantage describes a situation in which a person or a country involved in trade processes may not have an absolute advantage, but can still benefit from trade on a comparative basis.

The nations frequently trade goods based on their comparative advantages so that both parties can benefit from trade.

According to the stated information,

Alpha can produce either 18 oranges or 9 apples per hour, while beta can only produce 16 oranges or 4 apples per hour, it is stated.

so ,If alpha specialize in growing apples and beta specialize in growing oranges the both could gain profit by the trade

Hence, option C is true

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Answer:

x=2, y=6

Step-by-step explanation:

To find the average speed for the whole journey, you need to calculate the total distance traveled and divide it by the total time taken. Here's how you can do it:

Distance traveled at 60 mph = 60 mph x 3 hrs = 180 miles

Distance traveled at 45 mph = 45 mph x 2 hrs = 90 miles

Total distance traveled = 180 miles + 90 miles = 270 miles

Total time taken = 3 hrs + 2 hrs = 5 hrs

Average speed for the whole journey = Total distance / Total time

= 270 miles / 5 hrs

= 54 mph

Therefore, Alex's average speed for the whole journey is 54 mph.

In an exam, your working out might look something like this:

60 mph x 3 hrs = 180 miles

45 mph x 2 hrs = 90 miles

Total distance traveled = 180 miles + 90 miles = 270 miles

Total time taken = 3 hrs + 2 hrs = 5 hrs

Average speed for the whole journey = Total distance / Total time

= 270 miles / 5 hrs

= 54 mph

Make sure to show your calculations clearly and label your units to avoid any confusion.

Answer:

19

Step-by-step explanation:

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

As per linear equation, option-A and option-B are the equations of  straight line.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

Given equations are:

A. \(3x + 2y = 8\)

It is an equation of a straight line as it matches the standard form of a linear equation.

B. \(y = \frac{x}{2} - 5\)

This is also an equation of a straight line as it matches the standard form of a linear equation.

C. \(y = x^{2} + 3\)

It is not an equation of a straight line as it does not match the standard form of a linear equation.

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Answer:

A8 = 66 [8th term]

Step-by-step explanation:

Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)

To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.

So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.

The eighth term of the arithmetic sequence is 66.

Given that,

Based on the above information, the calculation is as follows:

An = 10n - 14

= 10(8) - 14

= 80 - 14

= 66

Therefore we can conclude that the eighth term of the arithmetic sequence is 66.

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Answer:

480

Step-by-step explanation:

Take 96 and divide it by 2 to get what ten percent would be: 48

Then just multiply 48 by ten for 100% (The number): 480.

To check, take a calculator and do 480-20% and it equals 96.

Answer:

y=-2x+5

Step-by-step explanation:

To figure out the equation of a line, use the formula y=mx+c, where y and x represent the co-ordinate values, m is the slope and c is the y-intercept (where the graph cuts the y-axis).

The slope can be found by taking two points (x1,y1) and (x2,y2), and using the formula m=(y2-y1)/(x2-x1):

(0,5) and (1,3)

m=(3-5)/(1-0)

m=-2

We can see from the graph that the line cuts the y-axis at y=5, so c=5.

Now that we know m and c, we plug these values into our formula to get y=-2x+5

Answer:

9-6r

Step-by-step explanation:

9(1−r)+3r

Use the distributive property to multiply 9 by 1−r.

9−9r+3r

Combine −9r and 3r to get −6r.

Answer: 9−6r

Answer:

-6r + 9

Step-by-step explanation:

9( 1 - r ) + 3r

9 - 9r + 3r

9 - 6r

So, the answer is -6r + 9

Answer:

Step-by-step explanation:

Step-by-step explanation:

I will assume the height is 85 cm

 and the base is given as 245 cm^2

volume is just     area * height

     volume = 85 cm * 245 cm^2 = 20 825 cm^3

Answer:

la recta

Step-by-step explanation:

Answer:

1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Step-by-step explanation:

We need to find the factors of 18
which are; 1,18; 2,9; 3,6
So therefore we'd pick:
1 cm and 18 cm

2 cm and 9 cm

3 cm and 6 cm

Answer:

foće de moçhò de casà là ocoreatane

Answer:2+2=4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

think of it like this

1+1=2+1=3+1=4

glad i could help

Hehehe

Answer:

1,695.6 in. 3

Step-by-step explanation:

Answer:

\(sec\ y = \frac{6}{b}\)

Step-by-step explanation:

Given

\(sin\ y = \frac{a}{6}\)

\(tan\ y = \frac{a}{b}\)

Required

sec y

From trigonometry;

\(sec\ \theta = tan\ \theta\ /\ sin\ \theta\)

Substitute y for θ

\(sec\ y= tan\ y\ /\ sin\ y\)

Substitute values for tan y and sin y

sec y = a/b ÷ a/6

\(sec\ y= \frac{a}{b} /\ \frac{a}{6}\)

\(sec\ y= \frac{a}{b} *\ \frac{6}{a}\)

\(sec\ y= \frac{6 * a}{a *b}\)

\(sec\ y= \frac{6 a}{ab}\)

Divide numerator and denominator by a

\(sec\ y= \frac{6}{b}\)

Hence, the value of sec y is

\(sec\ y= \frac{6}{b}\)

Answer:

Step-by-step explanation:

You want to show that the point (4, -4) is on the graph of x² +y² = 32, and you want the tangent and normal lines at that point.

The point is on the curve because when x = 4 and y = -4 the resulting statement is 16 +16 = 32, which is a true statement.

The tangent to a circle is most easily found by first considering the normal. The normal line will be the line through the point on the circle and the center of the circle. Here, the center is (0, 0). The slope of the normal line is ...

  m = y/x = -4/4 = -1

The tangent line's slope is the opposite reciprocal of this:

  m = -1/(-1) = 1

The point-slope form of the equation for the tangent line is ...

  y -k = m(x -h) . . . . . equation for line with slope m through point (h, k)

  y -(-4) = 1(x -4) . . . . . equation for line with slope 1 through point (4, -4)

  x -y = 8 . . . . . . . . . . add 4-y to put in standard form

The equation of the tangent line is x - y = 8.

In the section above, we found the slope of the normal line is -1. We also noted that the normal line goes through the point (0, 0). Then the point-slope form of the normal line is ...

  y -0 = -1(x -0)

  y = -x

The equation of the normal line is y = -x.

__

Additional comment

The normal line can also be written as x + y = 0.

The tangent line can also be written as y = x -8.

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Answer: the number of vibrations per second when the tension is 180 kg and the length of the string is 0.8 m is 3.6.

Step-by-step explanation:

Let's start by writing the general equation that relates v, t, and l:

v ∝ √t / l

Here, the symbol ∝ means "is proportional to." We can also write this equation using a constant of proportionality k:

v = k * √t / l

Now, we can use the information provided in the problem to solve for the value of k:

6 = k * √225 / 0.6

Simplifying, we get:

k = 6 * 0.6 / √225

k = 0.48

Now that we have the value of k, we can use the equation to find the number of vibrations per second when the tension is 180 kg and the length of the string is 0.8 m:

v = 0.48 * √180 / 0.8

Simplifying, we get:

v = 3.6

Therefore, the number of vibrations per second when the tension is 180 kg and the length of the string is 0.8 m is 3.6.

Answer:

Pedro saves $9.55 each week.

Complete question :

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 410 grams. If a 32 ​-week gestation period baby weighs 3300 grams and a 40 ​-week gestation period baby weighs 3600 ​grams, find the corresponding​z-scores. Which baby weighs more relative to the gestation​ period? Find the corresponding​ z-scores. Which baby weighs relatively more​?

Answer:

32 - 35 weeks = 0.56

40 weeks : 1.22

40 weeks babies weigh more

Step-by-step explanation:

Given that :

32 - 35 weeks babies :

Mean (m) = 2800

Standard deviation (s) = 900

Weight (x) = 3300

40 weeks babies :

Mean (m) = 3100

Standard deviation (s) = 410

Weight (x) = 3600

Obtain the standardized score for both categories :

Zscore = (x - m) / s

32 - 35 weeks :

Zscore = (3300 - 2800) / 900

Zscore = 0.555555 = 0.56

40 weeks :

Zscore = (3600 - 3100) / 410

Zscore = 1.2195121 = 1.22

Zscore for 40 weeks is higher than 32-35 weeks.

Hence, 40 weeks babies weigh more.

Answer:

98-40sqrt6

I used a calculator after trying to foil

Answer: The moving of decimal to the left is a shortcut to the operation of multiplying number by decimal numbers

Step-by-step explanation:

the power of 10 that is involved in converting the measurements of pete is -4, so he needs to multiply the measurement by 10^-4 to convert it.

Answer:

Sample Response: Because he moved the decimal 4 places to the left, Pete is dividing by 10 to the 4th power, or 10,000. Pete moved the decimal place 4 places to the left. Pete is dividing by 10 to the 4th power, or 10,000.

Step-by-step explanation:

it was on edg

                                                      hope it helps :b

Answer: 180 gallons needed

Step-by-step explanation:

Zykeith,

Assume x gallons of 50% antifreeze is needed

Final mixture is x + 60 gallons

Amount of antifreeze in mixture is 0.4*(x+60)

Amount of antifreeze added is .5x + .1*60 = .5x + 6

so .5x + 6 = .4(x + 60)

.5x -.4x = 24 -6

.1x = 18

x = 180

Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:

\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)

Simplifying the equation:

\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)

\(\qquad\quad\implies 0.1x = 21\)

\(\qquad\qquad\implies \bold{x = 210}\)

\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)