what is the circumference of this circle?

Answer:

Hello,

Answer 2

Step-by-step explanation:

7=2*0+7

9=2*1+7

11=2*2+7

13=2*3+7

15=2*4+7

17=2*5+7

y=2*x+7

An other way:

\(points\ ( 0,7)\ and\ (1,9)\\\\\Delta\ y=9-7=2\\\Delta\ x=1-0=1\\\\\\y-7=(x-0)*2\\\\y=2x+7\\\)

The complete equation is \(y = 2x+7\).

An equation is a condition on a variable such that two expressions in the variable should have equal value.

Substitution means replacing the variables (letters) in an algebraic expression with their numerical values.

According to the question.

We have a table which shows the relation between x and y.

Let the missing term be a and b.

The the given equation becomes

\(y = ax + b\)

For finding the value of a and b.

Substitute x = 0 and y = 7 in equation y = ax + b.

\(\implies 7 = a(0) + b\\\implies b = 7\)

Again, substitute  x = 1 and y = 9 in the equation y = ax+ b

\(\implies 9 = a(1) +b\\\implies 9 = a + 7\\\implies a = 2\)

substitute the value of a and b in the equation y = ax + b.

\(\implies y = 2x+ 7\)

Therefore, the complete equation is \(y = 2x+7\).

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Answer:

a) The maximum profit occurs at the vertex of the parabola, which has an x-value of -b/2a. In this case, the function is P(t) = -5t^2 + 70t + 600, so a = -5 and b = 70. Therefore, the vertex occurs at t = -b/2a = -70/(2*(-5)) = 7. The number 7 represents the number of years after 1990, so the company will reach its maximum profit in 1997.

b) To find the maximum profit, we need to evaluate the function at the x-value of the vertex. In this case, the vertex occurs at t = 7, so the maximum profit is P(7) = -5(7)^2 + 70(7) + 600 = $745,000.

c) To find the profit in 2002^2, we need to find the value of t that corresponds to the year 2002^2. 2002^2 = 4008004, which is 14 years after 1990. Therefore, we need to find P(14). P(t) = -5t^2 + 70t + 600, so P(14) = -5(14)^2 + 70(14) + 600 = $680.

Based on the given data, we can Reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

Based on the given data, we can make the following inferences:

b. Most knitters use some kind of specialty yarn:

Since the total number of knitters surveyed is 100, and each knitter was asked about their preference for specialty yarn, we can infer that most knitters (if not all) use some kind of specialty yarn. This is because all the surveyed knitters were specifically asked about their preference for specialty yarn, indicating that specialty yarn is commonly used among knitters.

c. More knitters like boucle yarn than other specialty yarns:

According to the data, 40 knitters preferred boucle yarn, which is more than the number of knitters who preferred any other specialty yarn. Therefore, we can infer that among the surveyed knitters, there is a higher preference for boucle yarn compared to other specialty yarns.

The other statements cannot be reasonably inferred from the given data:

a. The data does not provide information about the number of knitters using sequin yarns compared to fuzzy yarns. We only have information about the preference for boucle, mohair, and metallic yarns.

d. The data does not provide information about the preference of 500 knitters or the comparison of boucle yarn to other specialty yarns among a larger population.

e. The data does not provide information about the preference for metallic yarn compared to plain yarn among the surveyed knitters. The data only includes information about the preference for boucle, mohair, and metallic yarns.

In conclusion, based on the given data, we can reasonably infer that most knitters use some kind of specialty yarn and that there is a higher preference for boucle yarn compared to other specialty yarns among the surveyed knitters.

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True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Ivan drank 186.1 ounces of water yesterday

Information from the problem

100 ounces of water two days ago

Yesterday, he drank 86.1% more than that amount

The statement implies that Ivan drank 100 ounces + 86.1%

86.1% = 0.861 to add this we solve as follows

= 100 ounces * 1.861

= 186.1 ounces

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Note that the single transformation that maps triangle A onto triangle B is the reflection of A on the x-axis.

Where the point (x, y) is reflected about the x-axis, then its image is (x, -y)

Also If the point (x, y) is reflected on the y-axis, then its image is (-x, y).

From the given figure

The vertices of triangle A are (1, -2), (4, -1), (4, -4)

The vertices of triangle B are (1, 2), (4, 1), (4, 4)

Look at the y-coordinates of the vertices of the two triangles, they have the same values and opposite signs:

The reflection of (1, -2) is (1, 2)

The reflection  of (4, -1) is (4, 1)

The reflection  of (4, -4) is (4, 4)

By using the first rule above, we can state that Triangle A is reflected in the x-axis.

Thus, it is correct to state that the single transformation that maps triangle A onto triangle B is the reflection of the x-axis.

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Answer:

10.125

Step-by-step explanation:

Hello!

To find this we first have to convert the percentage to a decimal

We do this by moving the decimal point two times left

75.0% = 0.75

Now we multiply this by the number

13.5 * 0.75 = 10.125

The answer is 10.125

Hope this helps!

Answer:

A. 11x

B. 3x² +6x

Step-by-step explanation:

If you think math is boring, you're wrong. Math can be very funny, especially when you know some good jokes. Here's one for you:

Q: How do you know that the correct answer is A. 11x and B. 3x² +6x?

A: Because they are both polynomials, and polynomials are always right!

What are polynomials, you ask? Well, they are expressions that consist of one or more terms of non-negative integer powers of a variable. For example, 11x is a polynomial with one term, and 3x² +6x is a polynomial with two terms.

But what about C. 2x²-√x and D. 1-5x²/x? Are they polynomials too? No, they are not, because they contain terms with negative or fractional powers of x. For example, √x is the same as x^(1/2), which is a fractional power of x.

Polynomials are fun, aren't they? They can help you do all kinds of things, like shopping, engineering, and driving a taxi. But did you know that polynomials can also make you laugh? Here are some jokes about polynomials that will tickle your funny bone.

- What do you call a polynomial that is always happy? A jolly-nomial.

- How do you make a polynomial sad? You take away its degree.

- What do you get when you cross a polynomial with a rabbit? A poly-hop-nomial.

- Why did the polynomial go to the dentist? Because it had a root canal.

- How do you know if a polynomial is lying? You check its coefficients.

- What do you call a polynomial that likes to party? A disco-nomial.

- What do you say when you see a polynomial with no terms? Oh, the zero-nomy!

- How do you divide a polynomial by another polynomial? You don't. That's a rational expression.

- What do you call a polynomial that is always angry? A cross-nomial.

- What do you call a polynomial that is afraid of everything? A chicken-nomial.

So, remember: polynomials are always right, and non-polynomials are always wrong. And if you don't believe me, just ask them yourself. They'll tell you the same thing!

✧☆*: .｡. That's all folks, have fun with math! (✧ω✧) .｡.:*☆✧

furthering dendritic untiring s very crushed iridium rushes Rivendell ft Zarathustra

Step-by-step explanation:

Many many happy returns of the day.

May god give U a long life and success in your life.❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answer:

58cups

Step-by-step explanation:

Given the equation for the line as c = 2t - 89

If the temperature is 74 degrees, then we can find the number of cups at this temperature;

Substitute t = 74 unti the expression

x = 2(74) - 89

c = 147 - 89

c = 58cups

Hence the number of cups of lemonade is 58cups

Answer: 64

Step-by-step explanation:

If EFGH is a parallelogram, its diagonals bisect each other meaning EJ and JG are congruent.

EJ = JG

4w + 4 = 2w + 18

Subtract 2w from both sides

2w + 4 = 18

Subtract 4 from both sides

2w = 14

Divide both sides by 2

w = 7

EG = EJ + JG

EG = 4w + 4 + 2w + 18

EG = 6w + 22

Now that we know what 'w' is, we can substitute it for 7

EG = 6 (7) + 22

EG = 42 + 22 = 64

The measure of EG is 64.

Hope that helped!

Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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The number of pounds of $9 nuts he must used, 126

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

Randall wants to mix 21 lb of nuts worth $2 per lb,

with some nuts worth $9 per lb

He wants to make a mixture worth $8 per lb

The number of pounds of $9 nuts must he use = ?

Suppose, the number of pounds of $9 = x

Then, According to given condition,

Average price in a mixture  =  (9x + 21 x 2)/x +21

                                              =  8

(9x + 21 x 2)/x +21 = 8

9x + 42 = 8(x + 21)

9x + 42 = 8x + 168

9x - 8x = 168 - 42

x = 126

Hence, the number of pounds of $9 nuts is 126

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Answer:

5 2/3

Step-by-step explanation:

2 * 2 5/6

2 * (12+5/6)

2 * (17/6)

34/6

17/3 = 5 2/3

Answer:

So, the difference of the rates at which the pools are being filled is 1/18 inch per minute.

Step-by-step explanation:

We can find the rate of filling of each pool by dividing the inches filled per hour by the number of minutes it takes to fill them.

Rate of Pool A = 4 inches / 12 minutes = 1/3 inch per minute

Rate of Pool B = 7 inches / 18 minutes = 7/18 inch per minute

The difference in the rates of filling the two pools is:

(7/18) - (1/3) = (7/18) - (6/18) = 1/18 inch per minute.

So, the difference of the rates at which the pools are being filled is 1/18 inch per minute.

Answer:

Step-by-step explanation:

To find a 95% confidence interval for the population standard deviation, we can use the chi-square distribution with n-1 degrees of freedom, where n is the sample size. The formula for the confidence interval is:

sqrt((n-1)s^2 / χ^2α/2,n-1)) <= σ <= sqrt((n-1)s^2 / χ^21-α/2,n-1))

where s is the sample standard deviation and χ^2α/2,n-1 and χ^21-α/2,n-1 are the critical values from the chi-square distribution with n-1 degrees of freedom and α/2 and 1-α/2 as the upper and lower tail probabilities.

From the given data, we have:

n = 8

s = 10.737

α = 0.05

Using a chi-square distribution table or calculator, we can find the critical values:

χ^2α/2,n-1 = 2.1797

χ^21-α/2,n-1 = 14.0671

Substituting these values and the sample data into the formula, we get:

sqrt((n-1)s^2 / χ^2α/2,n-1)) <= σ <= sqrt((n-1)s^2 / χ^21-α/2,n-1))

sqrt((8-1)(10.737)^2 / 2.1797) <= σ <= sqrt((8-1)(10.737)^2 / 14.0671)

6.830 <= σ <= 21.114

Rounding the confidence interval limits to one more decimal place than the original data, we get:

(6.8, 21.1)

Therefore, a 95% confidence interval for the population standard deviation is (6.8, 21.1).

The critical value tα/2 corresponding to a sample size of 24 and a confidence level of 95% can be found using a t-distribution table or calculator.

Using a table, we find that the value of tα/2 is 2.064 for 24 degrees of freedom and a 95% confidence level.

Therefore, the answer is A. 2.064.

Answer: The complete question is "A circle has a radius of \blue{3}3start color #6495ed, 3, end color #6495ed. An arc in this circle has a central angle of 20^\circ20 ∘ 20, degrees. What is the length of the arc?"

The length of the arc is 1.06667 units.

Step-by-step explanation:

According to the question the radius of the circle \(R=3 \, units\) and central angle of arc is \(\Theta =20^{o}\)

As we know that the length of the arc is given as: \(L=R\Theta\)

Where R is radius of the circle, L is the length of the arc and  \(\Theta\) is central angle in radian.

Now, \(\Theta =20^{o}\times \frac{\Pi }{180}=\frac{\Pi }{9} \, rad\)

Therefore, length of the arc is

\(L=3\times \frac{\Pi }{9}=\frac{\Pi }{3} =\frac{3.14}{3}=1.0466667 \, units\)

According to the information, the maximum infection rate is:  k * 2500 * (5000 - 2500) = 6250k = 40

To address this problem, we can use the law of the infection rate, which states that the infection rate is directly proportional to the product of the number of people infected and the number of people not infected. Therefore, we can write:

where "k" is a constant of proportionality. Since we want to find the number of people infected that produces the maximum infection rate, we can consider the infection rate as a function of the variable "x" representing the number of people infected. Therefore, we can write:

To find the value of "x" that maximizes the infection rate, we can derive this function and set the derivative equal to zero:

This implies that 5000 - 2x = 0, and therefore:

Therefore, the number of infected people that produces the maximum daily rate of infection is 2,500.

However, we must verify that this result is consistent with the information given in the problem. We know that when there are 1,000 people infected, the flu spreads at the rate of 40 new cases per day. Therefore, if we add 1,500 more infected people (for a total of 2,500), the infection rate would be:

If the infection rate is 40 new cases per day, we have:

which implies that:

Therefore, the maximum infection rate is:

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Answer:

20, 30, 50, they all go into 2 and they also go into 6, two doesn't divide equally into 5.

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

As per the question statement, we are supposed to find the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin.

We should know that a 270° anticlockwise rotation is exactly the same thing as a 90° clockwise rotation.

So the point (x, y) becomes (y, -x)

So the image of the point (6,-9) after rotation in the cartesian plane of 270 degrees counterclockwise about the origin will be (-9, -6)

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\(\sf \bf {\boxed {\mathbb {GIVEN:}}}\)

Radius of the circle "\(r\)" = 5.5 yd

\(\sf \bf {\boxed {\mathbb {TO\:FIND:}}}\)

The area of the given figure.

\(\sf \bf {\boxed {\mathbb {SOLUTION :}}}\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:47.5\:sq\:yd.}}}}}}\)

\(\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}\)

We know that,

\(\sf\pink{Area\:of\:a\:semi-circle}\) = \(\frac{\pi \: {r}^{2} }{2} \)

Using 3.14 for π, we have

\( = \frac{3.14 \times ( {5.5 \: yd})^{2} }{2} \\\)

\( = \frac{3.14 \times 5.5 \times 5.5 \: {yd}^{2} }{2}\\ \)

\( = \frac{94.985 \: {yd}^{2} }{2} \\\)

\( = 47.5 \: {yd}^{2} \\\)

Using \(\frac{22}{7} \) for π,

\( = \frac{22 \times 5.5 \times 5.5 \: {yd}^{2} }{7 \times 2} \\\)

\( = \frac{665.5 \: {yd}^{2} }{14}\\ \)

\( = 47.5 \: {yd}^{2} \\\)

Therefore, the area of the semi-circle is \(47.5\: yd²\).

\(\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}\)

Answer:

D

Step-by-step explanation:

C is the first quadrant (where both x and y are positive).

A is the y-axis.

B is the origin.

D is the x-axis

Answer: D

Step-by-step explanation: it wouldn't be B because that's the origin point and A is the y-axis and C is in the open, the Answer is D

Answer:

\(3x + 2y = 6 \\ \boxed{ \frac{x}{2} + \frac{y}{3} = 1 }\)

\(4x - 2y = 10 \\ \boxed{\frac{x}{ \frac{5}{2} } + \frac{y}{( - 5)} = 1}\)

\( - 3x + 5y = - 15 \\ \boxed{ \frac{x}{5} + \frac{y}{( - 3)} = 1}\)

Answer:

Your question is missing some parts

and the degree seems off is it 90⁰

Given:

3x + 1 < 10

Solve:

Subtract 1 from both sides:

3x + 1 - 1 < 10 - 1

3x < 9

Divide both sides by 3:

Graph x<3:

ii) -2y + 22 < 10

SUbtract 22 from both sides: