what is the area of a circle with the radius of 7

Answer:

1) 5.9

2) 8.1

3) 54

Step-by-step explanation:

A is opposite, so we have sine 36=a/10

sine 36(10)=a

a=5.9

B is adjacent, so we have cosine 36=b/10

cosine 36(20)=b

b=8.1

Angles of a triangle add to 180

we have a angle of 36 and a right angle which is 90

36+90=126

180-126=54

Answer:

D. ("24.")

Step-by-step explanation:

it is D

The standard error of the proportion decreases as the sample size increases. This means that larger sample sizes provide more accurate estimates of the population proportion.

To calculate the standard error of the proportion, we can use the formula:
SE = √(p(1-p)/n)
Where:
SE = standard error
p = proportion of the population
n = sample size
For each sample size, we can plug in the values and calculate the standard error:
A. For a sample size of 30:
SE = √(0.39(1-0.39)/30) = 0.088
B. For a sample size of 60:
SE = √(0.39(1-0.39)/60) = 0.062
C. For a sample size of 90:
SE = √(0.39(1-0.39)/90) = 0.051

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Answer: Yes, she can affort to rent the car.

Step-by-step explanation:

Answer:

(3,4)

Step-by-step explanation:

The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.

It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.

Since the given inequality is;

( 29 / 289z ) < ( 16 / 161 ) z

By cross multiplication; we have;

161 × 29 < ( 16z × 289z )

( 161 × 29 ) / ( 16 × 289 ) < z²

1.00973183 < z²

Therefore;

1.00485413 < z. OR. -1.00485413 > z.

Ultimately, z < - 1.00485413 OR z > 1.00485413.

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Answer:

The following measurements are:

\(m\angle{STR}=23^\circ\) (Option #4)

\(m{QT}=142^\circ\) (Option #7)

\(mST=134^\circ\) (Option #5)

\(mRQ=38^\circ\) (Option #2)

Step-by-step explanation:

To begin, we can find the measure of \(\angle{STR}\) by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

Since the intercepted arc (RS) is 46 degrees, we have:

\(46=2\theta\\23=\theta\)

Next, we can find the measure of arc QT using the same theorem. So,

\(QT=2(71)\\QT=142\)

Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of \(180^\circ\). Since the arc ST is part of the arc RST, and we know RS is \(46^\circ\), we can set up and solve this equation:

\(RST = RS + ST\\180 = 46 + ST\\134 = ST\)

We can use the same idea to find RQ. We know that RQT is \(180^\circ\) and QT is \(142^\circ\), so:

\(RQT = RQ + QT\\180 = RQ + 142\\38 = RQ\)

We are given a function y = -4x^3 - 9x^11, and we need to find its first and second derivatives.

To find the first derivative, we apply the power rule and the constant multiple rule. The power rule states that the derivative of x^n is nx^(n-1), and the constant multiple rule states that the derivative of kf(x) is k*f'(x), where k is a constant. Applying these rules, we can find the first derivative of y = -4x^3 - 9x^11.

Taking the derivative term by term, the first derivative of -4x^3 is -43x^(3-1) = -12x^2, and the first derivative of -9x^11 is -911x^(11-1) = -99x^10. So, the first derivative of y is dy/dx = -12x^2 - 99x^10.

To find the second derivative, we apply the same rules to the first derivative. Taking the derivative of -12x^2, we get -122x^(2-1) = -24x, and the derivative of -99x^10 is -9910x^(10-1) = -990x^9. Therefore, the second derivative of y is d^2y/dx^2 = -24x - 990x^9.

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The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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We have that, if we have nine-digit numbers, the number of codes that are greater than 700 is 999,999,299

If we are viewing the codes as nine-digit numbers, then there are a total of 999,999,999 possible codes. However, we are only interested in those that are greater than 700.

To find the number of codes greater than 700, we can subtract the number of codes less than or equal to 700 from the total number of codes.

There are 700 codes that are less than or equal to 700 (from 001 to 700), so the number of codes greater than 700 is:

999,999,999 - 700 = 999,999,299

Therefore, there are 999,999,299 codes that are greater than 700 when viewed as nine-digit numbers.

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Answer:

Step-by-step explanation:

https://answer.ya.guru/questions/6481809-which-number-line-correctly-represents-the-irrational-numbers.html

Answer:

i dont know because you didnt give number but is one -17 is so its that

Step-by-step explanation:

Answer:

16 3/7%

Step-by-step explanation:

7 days in a week

(115)/100*1/7

23/140

to make percentage multiply by 100

23/140*100

23/1.4

230/14

16 3/7

Answer:

91. The probability that Caroline will be ready before Andrew is 0.25 (Option B). Since the service times are exponentially distributed with a mean 15 minutes, the remaining service time for Andrew when Caroline arrives is also exponentially distributed with the mean 15 minutes. The service time for Caroline is also exponentially distributed with mean 15 minutes. The probability that Caroline’s service time is less than Andrew’s remaining service time is given by the formula P(X < Y) = 1 / (1 + λY / λX), where λX and λY are the rates of the exponential distributions for X and Y respectively. Since both service times have the same rate (λ = 1/15), the formula simplifies to P(X < Y) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Andrew is 0.25.

92. The probability that Caroline will be ready before Bob is 0.35 (Option A). Since Bob arrived 10 minutes after Andrew, his remaining service time when Caroline arrives is exponentially distributed with mean 15 minutes. Using the same formula as above, we get P(X < Y) = 1 / (1 + λY / λX) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Bob is 0.35.

Answer: Therefore, the y value rounded to the nearest tenth is 47.9.

Step-by-step explanation:

To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:

180° - 42° - 85° = 53°

Then, use this angle and the opposite side (31) to solve for y:

tan(53°) = y/31

y = 31 * tan(53°)

y ≈ 47.9

Therefore, the value of y rounded to the nearest tenth is 47.9.

Answer:

It's 15.70796. Won't go in-depth since time seems to be of the essence

Step-by-step explanation:

Won't go in-depth since time seems to be of the essence

Answer: B. 12cm^2.

Step-by-step explanation:

To find the area of the shape, you need to count the number of squares inside it and then multiply that number by the area of a single square. If each grey square is 1cm by 1cm, then the area of a single square is 1cm x 1cm = 1cm^2. If you count the squares inside the shape, you will see that there are 12 squares. Therefore, the total area of the shape is 12cm^2. The correct answer is therefore B. 12cm^2.

The best-fit line to represent the black data points is the blue line.

The plot of absorbance vs. concentration shows 8 data points with 3 lines drawn to represent the data. In order to determine the best-fit line, we need to evaluate the lines based on how well they represent the data points.

(a) The red line is the middle line and goes through 1 data point, with 3 data points above it and 4 data points below it. This line has a slope that is between the slopes of the other two lines. However, it doesn't go through many of the data points and the slope is not consistent with the majority of the data points.

(b) The green line is the top line and touches 3 of the data points, with the rest of the data points below it. This line has a steeper slope compared to the red line, but it doesn't touch many of the data points and has a significant deviation from the majority of the data points.

(c) The blue line is the bottom line and has 2 data points below it and 6 data points above it. This line has a slope that is more consistent with the majority of the data points, and it has the least deviation from the data points compared to the other two lines.

In mathematical terms, the blue line has the least sum of squared residuals, meaning it has the smallest difference between the observed values and the predicted values.

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With the help of given expression 2n + 1 = 157,  the first number is 78.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, symbols, and operators that represent a value. It can be a single term, or it can be a combination of terms connected by operators. For example, 2x + 5 is an expression with two terms connected by the operator +. Expressions can also include functions, variables, and constants.

Now,

Let's assume the first number be x=n. Then the next consecutive number will be x+1.

According to the given information, the sum of the two consecutive numbers is 157.

So, we can write the equation as:

x + (x+1) = 157

Simplifying the equation, we get:

2x + 1 = 157

Subtracting 1 from both sides, we get:

2x = 156

Dividing both sides by 2, we get:

x = 78

i.e. n=78

Therefore, the first number is 78.

So, the correct answer is B) 78.

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Answer:

Answer

a Geometry :- shapes Are composed of regular lines and curves

b Organic shapes:- Unpredictable, irregular lines that suggest the natural world. Chaotic and unrestrained.

c Texture :-The surface quality of a work of art , for example coarse/fine detailed/lacking details

right answer organic..

i hope this helps you (⁠ ⁠◜⁠‿⁠◝⁠ ⁠)⁠♡

Therefore, An unpredictable and irregular shape is called an organic shape.

These shapes often mimic the forms found in nature, such as the shape of a leaf or a tree branch. Organic shapes lack the symmetry and geometric precision of their counterpart, the geometric shape. In art, organic shapes are commonly used to create a sense of movement, flow, and naturalism in a composition. In design, organic shapes can add visual interest and break up the monotony of straight lines and sharp angles. To sum up, the type of shape composed of unpredictable, irregular lines is an organic shape.

Therefore, An unpredictable and irregular shape is called an organic shape.

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The particular solution to the following system is x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

x' = 3x + 2y + 3\(e^{t}\)

y' = 2x + 3y - 2\(e^{t}\)

The first equation can be written as

(D-3)x - 2y = 3\(e^{t}\)

The second equation can be written as

-2x + (D-3)y = - 2\(e^{t}\)

(D-3)²x - 4x = (D-3)3\(e^{t}\) - 4\(e^{t}\)

(D²+9-6D-4)x = 3\(e^{t}\) - 9\(e^{t}\) - 4\(e^{t}\)

(D²-6D+5)x = - 10\(e^{t}\)

Auxiliary Equation

m²-6m+5=0

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

CF = C₁\(e^{5t}\) + C₂\(e^{t}\)

Particular Integral

PI = -10\(e^{t}\)/(D²-6D+5)

= -10\(e^{t}\)/(D-5)(D-1)

= (5/2) \(e^{t}\)/D

x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

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Answer:

18

Step-by-step explanation:

Step 1)

54 ÷ 3 = 18

Answer:

54/3

Step-by-step explanation:

Answer:

the answer is $3

Step-by-step explanation:

I just looked it up lol

Answer:

A) x = -4

Step-by-step explanation:

\(3x-2\left(6-x\right)=7x+2\left(5+x\right)-6\\\\\mathrm{Expand\:}3x-2\left(6-x\right):\quad 5x-12\\\\\mathrm{Expand\:}7x+2\left(5+x\right)-6:\quad 9x+4\\5x-12=9x+4\\\\\mathrm{Add\:}12\mathrm{\:to\:both\:sides}\\5x-12+12=9x+4+12\\\\Simplify\\5x=9x+16\\\\\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}\\5x-9x=9x+16-9x\\\\Simplify\\-4x=16\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4x}{-4}=\frac{16}{-4}\\\\Simplify\\x=-4\)

The total cost of financing the $2,300 large screen TV over 30 months with a fixed installment simple interest loan at a rate of 3.5% interest is $2,555.50.

Supporting Answer: To calculate the total cost of financing the $2,300 large screen TV over 30 months with a fixed installment simple interest loan at a rate of 3.5% interest, we need to consider the formula for calculating simple interest:

Simple Interest = Principal * Rate * Time

Given that the principal (P) is $2,300, the rate (R) is 3.5%, and the time (T) is 30 months, we can substitute these values into the formula:

Simple Interest = $2,300 * 0.035 * 30

= $2415

The simple interest for financing the TV is $2415. Adding this to the original purchase price gives us the total cost:

Total Cost = Principal + Simple Interest

= $2,300 + $2415

= $5550.50

Therefore, the total cost of financing the $2,300 large screen TV over 30 months with a fixed installment simple interest loan at a rate of 3.5% interest is $2,555.50.

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52 tiles are there in the 25th figure in this pattern.

A pattern is described as a series of recurring symbols, figures, or numbers. Any form of event or object can be related to a pattern.

A pattern has a rule that specifies which items fall within the pattern's umbrella and which do not.

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and other elements.

Any kind of event or object can be connected to the Pattern.

A pattern is referred to as a rule or a way in which a group of numbers is related to one another.

Sometimes a pattern is also referred to as a sequence.

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When out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

Given,

Number of females = 2268

Consider the total number students as x

Percentage of male = 58%

Then the equation will become

x-2268= x×\(\frac{58}{100}\)

x-2268=0.58x

x-0.58x=2268

0.42x=2268

x=5400

Hence, when out of the incoming freshman at a collage 2,268 of them are female and 58% are male then the total number of freshman is 5400

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Answer:

All the letter choices are correct.

Step-by-step explanation:

If thats not what you wanted, just comment below. Thank you!

Answer:

All letters showed are correct

Step-by-step explanation:

Step-by-step explanation: The equation of a vertical line can always be written as x = the x-coordinate of the given point.

So in this case, our equation is x = 2.

The area of the sector is π square meters.

Length of arc \(= (90/360)* 2π(2m) = πm\)

To find the area of the sector and the length of the arc, we need to use the formulas:

Area of sector = ( Θ/360 x π\(r^2\)

Length of arc = (θ/360) x 2πr

Given radius (r) = 2m and angle (θ) = 90 degrees, we can plug these values into the formulas to get:

Area of sector = \((90/360) * \pi (2m)^2\)

\(= (1/4) * \pi * 4m^2\)

\(= \pi m^2\)

Therefore, the area of the sector is π square meters.

Length of arc = (90/360) x 2π(2m)

= (1/4) x 4πm

= πm

Therefore, the length of the arc is π meters.

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Answer:

This is what I got, but I think if you switch the IQR and Number of Data points, then you'll get it correct.

Step-by-step explanation:

Based on the box plots given:

The median in a box plot is the value indicated by the vertical line that divides the box.

Range = Max - min

Interquartile range = difference of the rectangular box = Q3 - Q1.

Therefore, based on the box plots given, we would conclude that:

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Answer: ±31.5436205912

Step-by-step explanation: