Find the area of a circle with a diameter of 6 cm.
User = 3.14
A 9.42 cm
18,84 cm
© 28.26 cm
0 113.01 cm

Answer:

-1.25

Step-by-step explanation:

\(\boxed{slope = \frac{y1 - y2}{x1 - x2} }\)

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate

Slope of line

\( = \frac{6 - ( - 4)}{1 - 9} \\ = \frac{6 + 4}{ - 8} \\ = - \frac{10}{8} \\ = - \frac{5}{4} \\ = - 1.25\)

Answer:

\(40x+32y\leq 5,000\\x\geq 0, y\geq 0\)

Step-by-step explanation:

Let the number of acre of corn planted =x

Let the number of acre of soybeans planted =y

Seed costs for a farmer are $40 per acre for corn and $32 per acre for soybeans.

The farmer wants to spend no more than $5,000 on seed.

Therefore the linear inequality is:

\(40x+32y\leq 5,000\\x\geq 0, y\geq 0\)

Next, we graph the inequality

\(When$ x=0, y\leq156.25\\When$ y=0, x \leq 125\)

The graph is attached below.

We want to find an inequality that says how many seeds of each type the farmer can buy.

The inequality is:

$40*x + $32*y ≤ $5,000

The information given is:

Then if he buys seeds for x acres of corn and y acres of soybeans, the total cost is:

cost = $40*x + $32*y

And he wants to spend no more than $5,000, then we have the inequality:

$40*x + $32*y ≤ $5,000

Notice that there are a lot of possible solutions to this inequality, so the inequality actually describes all the different possibilities that the farmer has to not spend more than $5,000 on seeds.

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Answer: 5h+9

Step-by-step explanation:

10h + (-5h)

5h+(6(+3))

Answer:

let the heart be x

let the circle be y

so since * is 20, and we have 2 stars equal to 2 circles,

so, according to the first balance,

2(20) + x = 2(y)

40 + x = 2y --------------------------- let it be equation 1

so, according to the second balance,

3(y)  = 2(x) + 2(20)

3y = 2x + 40 ------------------------ let it be equation 2

lets take the value of x from equation 1 and substitute x with that in eq. 2

x = 2y - 40

now, substituting x in eq, 2

3y = 2(2y - 40) + 40

3y = 4y - 80 + 40

3y = 4y - 40

40 = y

substituting the value of y in the equation we made of x

x = 2y - 40

x = 2(40) - 40

x = 40

So, the value of heart = 40

the value of star = 40

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

2/17

Step-by-step explanation:

Given, \( \frac{16}{17} - \frac{14}{17} \), to find the difference, first look for the common denominator of both fractions.

Common denominator of both fractions is 17.

Divide the common denominator by the denominator of each fraction, then multiply the result by its numerator and solve as follows:

\( \frac{1(16) - 1(14)}{17} \)

\( \frac{16 - 14}{17} \)

\( \frac{2}{17} \)

The answer is 2/17

\( \frac{16}{17} - \frac{14}{17} \) = 2/17

Answer:

C) 77

Step-by-step explanation:

77 times 2= 154

200-154= 46

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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The most accurate way to estimate the percentage of the given value = ¼×66. Which is option C

Percentage is defined as the representation of a given value all over 100 and is given with a symbol of %.

The given value.= 66

The 26% of 66 would be given as follows;

26/100 × 66/1

= 1716/100

= 17.16

Therefore, the most accurate way to represent 26 percentage of 66 would be = ¼ × 66 which would be = 16.5 and is approximately 17.

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Complete question:

Which is the most accurate way to estimate 26% of 66

¼×64

⅔×60

¼×66

⅔×60

A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.

This version is also referred to as zero-intercept regression or homogeneous regression.

It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.

The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.

However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.

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Answer:

Step-by-step explanation:

You end up with a 30°-60°-90° triangle inside of △ABC.

The sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2.

AB is opposite the 30° angle. AM is opposite the 90° angle and has length 10, so AB is half the length of AM.

AB = 5 units.

Answer:

B (1, -3)

Step-by-step explanation:

Step 1:  Use the midpoint formula to find the coordinates of the endpoint:

Normally, we find the midpoint of a segment using the midpoint formula, which is given by:

M = (x1 + x2) / 2, (y1 + y2) / 2, where

Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:

x-coordinate of B:

x-coordinate of midpoint = (x1 + x2) / 2

(-2 = (-5 + x2) / 2) * 2

(-4 = -5 + x2) + 5

1 = x2

Thus, the x-coordinate of the endpoint B is 1.

y-coordinate of B:

y-coordinate of midpoint = (y1 + y2) / 2

(2 = (7 + x2) / 2) * 2

(4 = 7 + x2) -7

-3 = y2

Thus, the y-coordinate of the endpoint B is -3.

Thus, the coordinates of the endpoint B are (1, -3).

Answer:

10

Step-by-step explanation:

Let the first number be x, and the second number be y.

x + y = 5

x - y = 2

Solve for x in first equation.

x + y = 5

x = 5 - y

Put x as 5-y in the second equation, and solve for y.

(5-y) - y = 2

5 - 2y = 2

-2y = -3

y = 3/2

Put y as 3/2 in the first equation and solve for x.

x + y = 5

x + 3/2 = 5

x = 7/2

The difference of their squares would be:

(7/2)² - (3/2)²

49/4 - 9/4

40/4 = 10

A unit circle attached

The angle is 5π/3

We are 99% confident that the true proportion of employed individuals working at home at least once per week is between 11.8% and 21.8%.

The formula for a confidence interval for a proportion is

p ± Z(α/2) * \(\sqrt[(p(1-p))/n],\)

where p is the sample proportion and

n is the sample size.

Given n=250 and 42 individuals working from home, we find

p=42/250

= 0.168.

For a 99% confidence level, Z(α/2) is approximately 2.58.

Plugging in these values, we get 0.168 ± 2.58 * \(\sqrt{[(0.168*(1-0.168))/250]. }\)

This results in an interval (0.118, 0.218).

Therefore, we are 99% confident that the true proportion of employed individuals working at home at least once per week is between 11.8% and 21.8%.

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Answer:

B and E

Step-by-step explanation:

Answer:

Step-by-step explanation:

b!

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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Answer:

Hi... Do this for solve

Answer: y =1/2x + 5/2  

Step-by-step explanation: you have to use the slope formula y = mx + b to find the equation between those two points

Answer: Jayden is saying that 45 degrees + 45 degrees + 45 degrees=90 which is wrong it would equal 180 so all those angles at up to 180 if I'm not mistaken

Step-by-step explanation: i hope this helps

The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

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Answer:

y = x - 10

Step-by-step explanation:

slope - intercept form: y = mx + b

y2 - y1         -4 - ( -8 )            4

---------   =   -------------   =   --------   =   1

x2 - x1           6 - 2               4

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

y = mx + b

y = 1x + b

pick whichever point you want to use, for this I'll use (2, -8)

-8 = 1( 2) + b

-8 = 2 + b

-2   -2

-10 = b

y = 1x - 10 or y = x - 10

I hope this helps!

The surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

To find the increase in surface area, we first need to calculate the initial surface area of the box and then calculate the surface area after increasing the height.

The formula for the surface area of a rectangular prism is given by:

Surface Area = 2*(length width + length height + width*height)

Initial Surface Area:

Length (L) = 13 cm

Width (W) = 8.7 cm

Height (H) = 28 cm

Initial Surface Area = 2*(138.7 + 1328 + 8.7*28)

Next, we calculate the new surface area after increasing the height by 0.2 cm. The new height is:

New Height = Initial Height + Increase in Height = 28 cm + 0.2 cm

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2))

To find the increase in surface area, we subtract the initial surface area from the new surface area:

Increase in Surface Area = New Surface Area - Initial Surface Area

Let's calculate the values:

Initial Surface Area = 2*(138.7 + 1328 + 8.728) = 2(113.1 + 364 + 243.6) = 2*(720.7) = 1441.4 cm²

New Surface Area = 2*(138.7 + 13(28+0.2) + 8.7*(28+0.2)) = 2*(113.1 + 377.2 + 244.1) = 2*(734.4) = 1468.8 cm²

Increase in Surface Area = New Surface Area - Initial Surface Area = 1468.8 cm² - 1441.4 cm² = 27.4 cm²

Therefore, the surface area of the box increases by 27.4 cm² when the height is increased by 0.2 cm.

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Answer:

\( \boxed{ \bold{ \huge{\boxed{ \sf{(12.5 \: , \: 11.5)}}}}}\)

Step-by-step explanation:

Let the points be A and B

Let A ( 13 , 15 ) be x₁ , y₁ and B ( 12 ,8 ) be x₂ , y₂

Finding the midpoint

\( \bold{ \boxed{ \sf{midpoint \: = (\: \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2}) }}}\)

\(\dashrightarrow{ \sf{ (\frac{13 + 12}{2} , \: \frac{15 + 8}{2} )}}\)

\( \dashrightarrow {\sf {(\frac{25}{2} \: , \: \frac{23}{2} )}}\)

\( \dashrightarrow{ \sf{(12.5 \: , \: 11.5)}}\)

Hope I helped!

Best regards! :D

Answer:

198

Step-by-step explanation:

Divide 2386 by 12 and you will get 198.3

Answer:

2,386 divided by 10

Step-by-step explanation:

The chickens produced 2,386 eggs and a dozen = 10...

Answer:

The sample proportion is 0.88.

The margin of error is of 0.04.

The interval likely to contain the true population proportion is (0.84,0.92).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

Margin of error:

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

Sample of 230 teenagers, 202 would like to have smaller class sizes at their school.

This means that \(n = 230\), and that the sample proportion is:

\(\pi = \frac{202}{230} = 0.88\)

The sample proportion is 0.88.

Standard 95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Margin of error:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.96\sqrt{\frac{0.88*0.12}{230}}\)

\(M = 0.04\)

The margin of error is of 0.04.

Confidence interval:

Sample proportion plus/minus margin of error. So

0.88 - 0.04 = 0.84

0.88 + 0.04 = 0.92

The interval likely to contain the true population proportion is (0.84,0.92).

It would be wiser for the couple to stay in the old apartment and save $1400.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation:

If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,

If they leave, they'll have to forgo $1000.

If they move to their new apartment, they'll pay $900 x 6 = $5400

total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.

It would be wiser for the couple to stay in the old apartment and save $1400.

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