NEED HELPPP 40PTS!!!
consider the following system of inequalities. 3x+y ≥7 x-2y <-4
Select the graph of the solution to the system

Answer:

b

Step-by-step explanation:

(5) The area of trapezium is 833.85 m².

(6) The area of the square is 309.76 mm².

(7) The area of the parallelogram is 148.2 yd².

(8) The area of the semicircle is 760.26 in².

(9) The area of the rectangle is 193.52 ft².

(10) The area of the right triangle is 183.74 in².

(11) The area of the isosceles triangle is 351.52 cm².

The area of the figures is calculated as follows;

area of trapezium is calculated as follows;

A = ¹/₂ (38 + 13) x 32.7

A = 833.85 m²

area of the square is calculated as follows;

A = 17.6 mm x 17.6 mm

A = 309.76 mm²

area of the parallelogram is calculated as follows;

A = 19 yd  x 7.8 yd

A = 148.2 yd²

area of the semicircle is calculated as follows;

A = ¹/₂ (πr²)

A =  ¹/₂ (π x 22²)

A = 760.26 in²

area of the rectangle is calculated as follows;

A = 16.4 ft x 11.8 ft

A = 193.52 ft²

area of the right triangle is calculated as follows;

based of the triangle = √ (29.1² - 14.6²) = 25.17 in

A = ¹/₂ x 25.17 x 14.6

A = 183.74 in²

area of the isosceles triangle is calculated as follows;

height of the triangle =  √ (30² - (26/2)²) = √ (30² - 13²) = 27.04 cm

A =  ¹/₂ x 26 x 27.04

A = 351.52 cm²

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Answer: 100

Step-by-step explanation:

Because 88.9% of the data falls between approximately 47.62 and Blank.

Answer:

56

Step-by-step explanation:

(a-1) The value of the population mean is unknown.

(a-2) The best estimate of the population mean is the sample mean, which is 20 eggs.

(c) The value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) the 95% confidence interval for the population mean is approximately (17.902, 22.098).

(e-1) It would not be reasonable to conclude that the population mean is 17 eggs.

(e-2) It would be reasonable to conclude that the population mean is 18 eggs.

(a-1) The given information provides the sample mean (20 eggs) and the sample standard deviation (5 eggs), but it does not directly provide the population mean.

(a-2) In the absence of other information, the sample mean is a reasonable estimate of the population mean.

(c) For a 95% confidence interval, the value of t can be determined using the t-distribution with n-1 degrees of freedom, where n is the sample size. In this case, the sample size is 18, so the degrees of freedom is 18 - 1 = 17.

Using a t-distribution table or a statistical software, the value of t for a 95% confidence interval with 17 degrees of freedom is approximately 2.110.

(d) To determine the 95% confidence interval for the population mean, we can use the formula: Confidence interval = sample mean ± (t * standard error), where the standard error is the sample standard deviation divided by the square root of the sample size.

In this case, the sample mean is 20, the standard deviation is 5, the sample size is 18, and the value of t is 2.110. Plugging in these values, the confidence interval is 20 ± (2.110 * (5 / √18)), which evaluates to approximately 20 ± 2.098.

(e-1) The 95% confidence interval calculated in part (d) does not include 17 eggs, indicating that it is unlikely for the population mean to be 17 eggs.

(e-2) The 95% confidence interval calculated in part (d) includes 18 eggs, suggesting that it is plausible for the population mean to be 18 eggs.

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Answer:

if only.....

Step-by-step explanation:

Answer:

okay

Step-by-step explanation:

I checked it out very good

Answer:

  b > 1

Step-by-step explanation:

You want to know the conditions on an exponential function that represents growth.

The value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.

The relation represents growth when b > 1.

An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.

In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.

When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.

To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:

For x = 0, \(2^0\) = 1

For x = 1, \(2^1\) = 2

For x = 2, \(2^2\) = 4

For x = 3, \(2^3\) = 8

For x = 4, \(2^4\) = 16

As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.

It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.

In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.

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the code is referencing a tree data structure and has an instance variable called "root" that holds the root node of the tree.

The statement "stack" itself does not provide enough context to determine its purpose or the expected output. It could be a reference to a specific method or operation involving a stack data structure, but without further information, it is not possible to determine the specific behavior or output of the code.

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Answer:

(16*15) + 2*(0.5*8*5)

240 + 40

280 cm2

Answer:

740

Step-by-step explanation:

42% of 1761 = 0.42 * 1761 = 739.62

Answer: 740

Answer:

42

Step-by-step explanation:

2(4x+2)=4x+44 THE MIDSEGMENT IS ALWAYS HALF OF THE BASE

8x+4=4x+44

4x=40

x=10

4(10)+2

40+2

42 Hope this helped!

Answer:

answer is 3 or 50 degrees

Step-by-step explanation:

put angle 35 degrees between F and E and then add 5 degrees to get 40

then add the 90 degrees to get 130

then subtract 130 from 180 to get 50 degress

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  \(\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}\)

_____

Additional comment

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  \((x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6\)

Consider division:

  \(\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}\)

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

Answer:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit.

Step-by-step explanation:

For this case we have the following dataset given:

9,16,9,15,20,13,7,26,9,44

The first step is order the data on increasing way and we got:

7,9,9,9, 13,15, 16,20,26,44

And we can create the stem plot like this:

0|   7, 9,9,9

1|    3,5,6

2|   0,6

3|  

4|   4

Notation: For this case the first number represent the first digit and the second represent the second digit

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.


False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:

lim F(x) = lim (logx xlogx 5)

= lim (logx xlogx) lim 5

= ∞∞ 5

= ∞

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

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Okay, here we have this:

Considering that a function is one-to-one if and only if no horizontal line intersects its graph more than once.

So, according with this we any horizontal line that is drawn on the line touches only one point on it, therefore the function is one to one.

We will investigate how to your direct proportions to evaluate the number of pages Henry can write given a set of time frame.

There is a relationship established between the number of pages that Henry writes in a certain amount off time. We will go ahead and define the variables:

We see that there is a direct relationship between the two variables ( x and y ). We can express a direct relation with the following equation:

Where,

To determine the constant of proportionality ( k ) we need a set of data. I.e the number of pages written in an amount of time. We are given that Henry can write 5 pages of his novel in 3 hours. So:

We will use the direct proportion relation expressed above and evaluate the constant of proportionality ( k ) as follows:

Therefore, the direct relationship between the two variables becomes:

Now we can use the above relation to determine either off the two variables given the other one. We are asked to find the number of pages that Henry can write if he takes 8 hours. Hence,

Using the defined relationship we can calculate as follows:

Therefore, the answer is:

he got the same answer i did

Step-by-step explanation:

When the cosine of an angle (0) is 3/5 and the angle lies in quadrant 4, the exact value of the sine of that angle is -4/5.

To find the exact value of sin(0), we can utilize the Pythagorean identity, which states that \(sin^2(x) + cos^2(x) = 1,\) where x is an angle in a right triangle. Since the terminal side of the angle (0) is in quadrant 4, we know that the cosine value will be positive, and the sine value will be negative.

Given that cos(0) = 3/5, we can determine the value of sin(0) using the Pythagorean identity as follows:

\(sin^2(0) + cos^2(0) = 1\\sin^2(0) + (3/5)^2 = 1\\sin^2(0) + 9/25 = 1\\sin^2(0) = 1 - 9/25\\sin^2(0) = 25/25 - 9/25\\sin^2(0) = 16/25\)

Taking the square root of both sides to find sin(0), we have:

sin(0) = ±√(16/25)

Since the terminal side of (0) is in quadrant 4, the y-coordinate, which represents sin(0), will be negative. Therefore, we can conclude:

sin(0) = -√(16/25)

Simplifying further, we get:

sin(0) = -4/5

Hence, the exact value of sin(0) when cos(0) = 3/5 and the terminal side of (0) is in quadrant 4 is -4/5.

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Note the correct and the complete question is

Q- Find the exact value of sin(0) when cos(0) =3/5 and the terminal side of (0) is in quadrant 4​ ?

Answer:

L = 7/6 , and the correct option is B, the series diverges.

Step-by-step explanation:

Here we have that:

\(an = \frac{(3n + 3)*7^n}{6^{n+4}}\)

Now we want to see the quotient test, then we need to do find the value of the quotient as n tends to infinity. Then we first need to find the quotient:

\(a(n + 1)/a(n) = \frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}\)

We can simplify the right part to get:

\(\frac{(3(n + 1) + 3)*7^{n + 1}}{6^{n + 1 + 4}}*\frac{6^{n + 4}}{(3*(n) + 3)*7^{n}}= \frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}\)

\(\frac{(3n + 3 + 3)*7^{n + 1}}{6^{n + 5}}*\frac{6^{n + 4}}{(3*n + 3)*7^{n}}= \frac{(3n + 3 + 3)*7}{(3*n + 3)*6}\)

Now we want to find the limit of this as n goes to infinity, we can see that both parts will tend to infinity, then we need to use the Lhopital rule and find the limit of the quotient of the first derivatives.

The first derivatives are:

For the denominator: (3*6)

For the numerator: (3*7)

Then we need to find the limit as n goes to infinity to:

\(\frac{3*7}{3*6} = \frac{7}{6}\)

But this does not depend on the value of n, then the limit is just 6/7.

L = 7/6

And 7/6 > 1.

Then we can conclude that our series diverges.

To find the factors of the expression 12x^2 - 4x - 1, we can use the factor theorem. The factor theorem states that if a polynomial expression evaluates to zero when a certain value is substituted for the variable, then that value is a factor of the polynomial.

To determine if a certain value is a factor of the expression, we can use synthetic division. Synthetic division involves dividing the polynomial expression by the possible factor to check if the remainder is zero. If the remainder is zero, then the value is a factor.

Let's start by checking if x = 1 is a factor of the expression:

    1 | 12 - 4 - 1
      |     12   8
      |____________
       12   8   7

Since the remainder is not zero, x = 1 is not a factor of the expression.

Next, let's check if x = -1 is a factor of the expression:

   -1 | 12 - 4 - 1
      |    -12  16
      |____________
       12 -16  15

Again, the remainder is not zero, so x = -1 is not a factor of the expression.

Now, let's check if x = 2 is a factor of the expression:

    2 | 12 - 4 - 1
      |     24 40
      |____________
       12  20 39

Once again, the remainder is not zero, so x = 2 is not a factor of the expression.

Finally, let's check if x = -2 is a factor of the expression:

   -2 | 12 - 4 - 1
      |    -24 56
      |____________
       12 -28 55

As we can see, the remainder is not zero, so x = -2 is not a factor of the expression.

After checking all the possible factors, we can conclude that none of the values tested (1, -1, 2, -2) are factors of the expression 12x^2 - 4x - 1.

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Answer: Juan travelled 28 miles in the taxi

Step-by-step explanation:

A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)

So if F represents the fare, then

F = $2.25 + $0.20(m - 1)

If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,

F = $2.25 + $0.20(m - 1). It becomes

7.65 = 2.25 + 0.20(m-1)

7.65 = 2.25 + 0.20m - 0.20

7.65 - 2.25 + 0.20 = 0.2m

0.2m = 5.6

m = 5.6/0.2 = 28 miles

Answer:

Juan traveled 28 miles in the taxi

Step-by-step explanation:

7.65=2.25+0.2(m-1), subtract 2.25 from both sides, then you get 5.40=0.2(m-1)

then multiply 0.2 by the numbers in the parenthesis and get 5.40= 0.2m-0.2

add 0.2 to both sides to get 5.60 = 0.2m, divide both numbers by 0.2 and get   28 = m

The percent increase from 31.1 to 98.1 can be calculated by finding the difference between the two values, dividing it by the original value, and then multiplying by 100. Therefore, the percent increase from 31.1 to 98.1 is approximately 215.5%.

To calculate the percent increase, we first find the difference between the final value (98.1) and the initial value (31.1), which is 98.1 - 31.1 = 67.

The result will be rounded to the nearest tenth of a percent and expressed with a percent sign.

Next, we divide the difference by the original value: 67 / 31.1 = 2.155.

To convert this to a percentage, we multiply by 100: 2.155 * 100 = 215.5.

Rounding to the nearest tenth of a percent, the percent increase is approximately 215.5%.

Therefore, the percent increase from 31.1 to 98.1 is approximately 215.5%.

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Please attached a diagram drawn with MS Word based on the question parameters, and from a diagram from a similar question.

The length of the rectangle that contains 10 identical squares and has a width of 15 centimeters is 21 centimeters

A square is a quadrilateral that has four sides of the same length and the the four interior angles are each equal to 90°.

Some parts of the question appear missing, please find attached the design of a rectangle based on a similar GCSE question online. The width of the rectangle = 15 cm

The number of squares = 10

The number of squares that make up the width from the drawing = 5

The side length of the square is therefore; 15 cm ÷ 5 = 3 cm

The number of squares that make up the length of the rectangle = 7

The length of the rectangle is therefore, L = 7 × 3 cm = 21 cm

The length of the rectangle = 21 centimeters

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Answer:

Approximately 120.31 people per square mile

Step-by-step explanation:

1) The population density can be found by dividing the whole population over the area.

2) Since the NH map is modeled like this triangle, let's firstly calculate its area.

3) Based upon the original picture, and tracing it on we can easily see that the y coordinate is little bit over 200, precisely 220. Each mark on the original y-axis count as 20 miles. That'll give us the height.

The base of the triangle is 100 miles for F(100,0). Plugging that information on the formula:

\(\bigtriangleup_{area}=\frac{b*h}{2}\rightarrow \frac{220*100}{2}=11,000 \:sq. \:miles\)

4) The Population density:

\(Pop. \:density=\frac{1,323,459}{11,000}=120.31 \:people\:per\:square\:mile\)

Step-by-step explanation:

The answer:

147 persons/mi^2

To calculate the probability that a customer at the restaurant buys a burger or fries, we can add the probabilities of buying a burger and buying fries, and then subtract the probability of buying both (to avoid double-counting):

P(burger or fries) = P(burger) + P(fries) - P(burger and fries)

P(burger or fries) = 70% + 55% - 45%

P(burger or fries) = 70% + 55% - 45% = 80%

Therefore, the probability that a customer at the restaurant buys a burger or fries is 80%.

To calculate the probability that a customer at the restaurant buys a burger but does not buy fries, we can subtract the probability of buying both from the probability of buying a burger:

P(burger but not fries) = P(burger) - P(burger and fries)

P(burger but not fries) = 70% - 45%

P(burger but not fries) = 25%

Therefore, the probability that a customer at the restaurant buys a burger but does not buy fries is 25%.

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Answer:

g = 3/2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

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Answer: 5 cm

Step-by-step explanation:

We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:

(3x + 2x) * 4 = 100

5x * 4 = 100

20x = 100 (divide by 20)

x = 5 (cm)

Answer:

Step-by-step explanation:

Angles around a point add up to 360

x + 53 + 37 + 139 = 360

               x + 229 = 360

                        x = 360 - 229

                        x = 131