The equation, with a restriction on x, is the terminal side of an angle 8 in standard position. -4x+y=0, x20 www. Give the exact values of the six trigonometric functions of 0. Select the correct choi

Based on the information provided, we can assume that the sample of 700 births is representative of the population of births in the local area. The distribution of these 700 births across the days of the week can be analyzed to determine whether or not newborn babies are uniformly distributed across the days of the week.If the distribution of the 700 births is approximately equal across all seven days of the week, then we can conclude that newborn babies are uniformly distributed. However, if the distribution is significantly different from what would be expected if births were uniformly distributed, then we can conclude that there may be a non-uniform pattern of births.

Without knowing the actual distribution of the 700 births, we cannot definitively answer this question. However, if the distribution is close to equal, then we can tentatively say that newborn babies are uniformly distributed across the days of the week.

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Answer:

hope the pic below helps :3

Step-by-step explanation:

Using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.

So, let 'x' be the distance of the 1st part and 'y' be the time in hours of the 1st part.

Plot the equations on the graph as follows:

(Refer to the graph attached below)

Be obtain:

Therefore, using equations we now know that the distance of the first part of the Yuna's swim is 0.7 miles.

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The complete question is given below:
In training for a triathlon, Yuna swam 1.9 miles in the open ocean, which took her 2 hours. For the first part of her swim, she averaged 1.4 miles per hour. For the second part of her swim, she swam against the current and started to tire, so her average speed decreased to 0.8 mph. What was the distance of the first part of Yuna's swim? Round to the nearest tenth as needed. The distance in the first part of her swim was miles.

Answer:

.7

Step-by-step explanation:

As a rule of thumb, altitude corrections of less than 100 feet should be corrected by using "less than a full bar width on the attitude indicator".

C. is the answer.

The attitude indicator (also known as an artificial horizon) is a key instrument in an aircraft that displays the aircraft's pitch and bank attitude. The instrument typically consists of a gyro that indicates the aircraft's attitude relative to the horizon.

When flying an aircraft, it's important to maintain a specific altitude, and to make adjustments as needed to stay on course. The altitude is typically measured in feet above sea level, and can be affected by a number of factors, such as temperature, pressure, and wind.

As a rule of thumb, altitude corrections of less than 100 feet can be corrected using the attitude indicator by making adjustments that are less than a full bar width on the instrument. This means that the correction is relatively small and does not require a significant adjustment of the aircraft's pitch or bank.

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Answer:

mark me brainliest

Step-by-step explanation:

10% increased

Answer:

10%

Step-by-step explanation:

100%-> 70

1%->0.7

77-70=7

7÷0.7=10

Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

profit : RS 150 and profit % : 3%

Step-by-step explanation:

for profit 10% for loss 4%

s.p will be 2750. s.p will be 2400

Total s.p : 2750 +2400. total s.p : 5150

profit = s.p-c.p. profit%=?

=5150-5000. profit = p /c.p × 100

=150 = 150/5000×100

= 3%

The average rate of change in the population in each state between 1970 and 2010 is given as follows:

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence, over an interval [a,b], the rate is given by the fraction presented as follows

\(r = \frac{f(b) - f(a)}{b - a}\)

For California, the populations are given as follows:

Hence the rate is:

r = (35 - 20)/(2010 - 1970) = 0.375 million people a year = 375,000 people a year.

For Texas, the populations are given as follows:

Hence the rate is:

r = (25 - 12)/(2010 - 1970) = 0.325 million people a year = 325,000 people a year.

The graph is given by the image at the end of the answer.

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Answer:

Yes of course God is real.

Step-by-step explanation:

One way god is  to prove that God is real is to simply look at the world in which we live. The beauty, complexity and organization of the material world around us point toward a master Designer.

Answer:

The answer is (x+3)(x-10)

Step-by-step explanation:

x²-7x-30

x²-10x+3x-30

x(x-10)+3(x-10)

(x+3)(x-10)

A linear function table  is a table having a constant rate of  change between  its datapoints  

A linear equation is is an equation that consists of each variable raised with a maximum of one degree. the linear equation in terms of variables x and y can be written in the form  of  y = mx + c, where m is the slope and x is the independent variable, and y is the dependent variable when the data points of the given  table are potted in   a graph, we get a straight  line for a linear function table, a such function must  have a constant  slope in between its points

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The number of more cups that she needs to put in will be 28 cups.

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

A recipe for cookies calls for 3 Cups of sugar. And t has already put in 31 Cups. Then the equation is given as,

t + 3 = 31

t = 31 - 3

t = 28 cups

The number of more cups that she needs to put in will be 28 cups.

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Answer:

See below.

Step-by-step explanation:

Length * width

4 * 3 = 12 ft\(^2\)

Answer:

24 square feet

Step-by-step explanation:

Area = area of triangle - area of rectangle

\(Area \ of \ triangle = \frac{1}{2} \times base \times height =\frac{1}{2} \times(4 +5) \times (5+3) = 9 \times 4 = 36 \ ft^2\\\\Area \ of \ rectangle = Length \times Breadth = 3 \times 4 = 12 \ ft^2\\\\\\Area \ of \ the\ shaded \ region = 36 - 12 = 24 \ ft^2\)

Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x      + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

    + 4   + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

Answer:

wow Johnny is going to be a million-are by the end of the year :) lol

Step-by-step explanation:

Have a nice night mate

:)

mark brainliest please :)

Answer:

I.d.k wut the question is asking but...

Step-by-step explanation:

30 cents a day then for every day he adds on so day 1 = 30 cents

Day 2 will be 60 cents day 3 would be 90 cents and so on just keep adding 30 cents per day Hope this helps if i didnt answer wut you were asking comment wut you were looking for and i will gladly help :D

Answer:

Measure of central angle is 3.665 radians

Step-by-step explanation:

In this question, we are trying to get the value of the central angle.

As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.

Mathematically the length of an arc is calculated as follows;

Length of arc = theta/360 * 2 * pi * r

Plugging the values we have from the question;

14 pi = theta/360 * 2 * pi * 12

divide both sides by 2pi

7 = theta/360 * 12

360 * 7 = 12 theta

theta = (360 * 7)/12

theta = 210

Since 1 degree = pi/180 radian

it means 210 degrees = 210 * pi/180 = 3.665 radians

Answer:

\(\frac{7\pi }{6}\)

Step-by-step explanation:

Khan Academy

Answer: f(n) + g(n) = -2n^3 + 3n^2 - 2n - 4

Step-by-step explanation:

Honestly i dont know if that answer is correct

im just trying to gain points

but i copied it from someone else

2n +5y=6 eggs

Answer: 49.25

Step-by-step explanation:

Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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The full Python code is included below as an image, and it sets the base and height of triangles 1 and 2, then calculates the bigger area.

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The correct answer is C. A 95% confidence interval for μ will exclude the value 1.

A P-value of 0.072 means that if the null hypothesis (H0: μ = 1) is true, there is a 7.2% chance of obtaining a sample mean that is as extreme or more extreme than the one observed in the sample. This is not strong evidence against the null hypothesis at the 5% significance level (which is the standard level of significance used in hypothesis testing).

However, if we construct a 95% confidence interval for μ, we would expect the true population mean to fall within this interval 95% of the time if we were to repeat this study many times. Since the P-value is not less than 0.05, we fail to reject the null hypothesis at the 5% significance level.

Therefore, we can conclude that there is not enough evidence to suggest that the population mean is significantly different from 1.

However, a 95% confidence interval for μ will exclude the value 1, which means that we can be 95% confident that the true population mean is not equal to 1.

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Answer:

(1) - C, \((3,\frac{\pi}{6})\)

(2) - B, \((0,-2)\)

Step-by-step explanation:

\(\text{Using the following conversions:}\\\boxed{\left\begin{array}{ccc}\text{\underline{Rect. to Polar:}}\\(x,y)\rightarrow(r, \theta)\\\\r=\sqrt{x^2+y^2}\\\\\theta=\tan^{-1}(\frac{y}{x})\end{array}\right} \ \ \boxed{\left\begin{array}{ccc}\text{\underline{Polar to Rect.:}}\\(r, \theta)\rightarrow(x,y)\\\\x=r\cos \theta\\\\y=r \sin\theta\end{array}\right}\)

Note that when doing these calculations, make sure your calculator is in radians mode.

Question #2:

Given:

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} ) \ \text{in} \ (x,y)\)

\((\frac{3\sqrt{3} }{2} ,\frac{3}{2} )\\\\\Rightarrow r=\sqrt{(\frac{2\sqrt{2} }{2})^2+(\frac{3}{2})^2} \\\\\Longrightarrow r=\sqrt{\frac{27}{4} +\frac{9}{4} } \\\\\Longrightarrow r=\sqrt{9}\\\\\therefore \boxed{ r=3}\\\\\Rightarrow \theta=\tan^{-1}(\frac{\frac{3}{2}}{\frac{3\sqrt{3} }{2}})\\\\\Longrightarrow \theta=\tan^{-1}(\frac{\sqrt{3} }{3})\\\therefore \boxed{\theta=\frac{\pi}{6} }\)

Thus, the correct option is C.

\(\boxed{\boxed{(3,\frac{\pi}{6})}}\)

Question #3:

Given:

\((2,\frac{3\pi}{2} ) \ \text{in} \ (r,\theta)\)

\((2,\frac{3\pi}{2} ) \\\\\Rightarrow x=(2)\cos(\frac{3\pi}{2})\\\\\Longrightarrow x=(2)(0)\\\\\therefore \boxed{x=0}\\\\\Rightarrow y=(2)\sin(\frac{3\pi}{2})\\\\Longrightarrow y=(2)(-1)\\\\\therefore \boxed{y=-2}\)

Thus, the correct option is B.

\(\boxed{\boxed{(0,-2)}}\)

Answer:  When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive. When you divide two integers with different signs, the result is always negative.

Step-by-step explanation:

Answer:

positive

negative

Step-by-step explanation:

Answer:

It’s nonlinear because you can’t put x by itself

Step-by-step explanation:

Answer:

nonlinear

Step-by-step explanation:

The graph is a curve, not a straight line. So it represents a nonlinear function.

Answer:

Step-by-step explanation:

Continuous variables are variables that can take on any value within a specified range. Some common examples of continuous variables include:

Height: Height can be measured in inches, centimeters, or any other unit of length and can take on any value within the range of human heights.

Weight: Weight can be measured in pounds, kilograms, or any other unit of weight and can take on any value within the range of human weights.

Age: Age can be measured in years, months, or days and can take on any value within the range of human ages.

Time: Time can be measured in seconds, minutes, or hours and can take on any value within the range of time that can be measured.

Temperature: Temperature can be measured in degrees Celsius, Fahrenheit, or any other unit of temperature and can take on any value within the range of temperatures that can be measured.

Income: Income can be measured in dollars, euros, or any other currency and can take on any value within the range of human incomes.

These are just a few examples of continuous variables. In general, any variable that can take on an infinite number of values within a specified range can be considered a continuous variable.

The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.

By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:

[1 1 2 -1 | -2]

[0 3 1 2 | 2]

[1 1 0 3 | 2]

[-3 0 1 2 | 5]

First, we'll perform row operations to transform the matrix into the row-echelon form:

R2 = R2 - 3R1

R3 = R3 - R1

R4 = R4 + 3R1

The resulting matrix after these operations is:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | 5]

Next, we'll perform additional row operations to further simplify the matrix:

R4 = R4 - 3R2

The matrix now becomes:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | -19]

Finally, we'll perform the last row operation:

R3 = R3 + 2R2

The matrix is now in row-echelon form:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 0 14 | 20]

[0 3 1 2 | -19]

From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:

3w + z + 2w = -19, which simplifies to 5w + z = -19.

Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.

Lastly, x + y + 2z - w = -2.

At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.

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Answer:

Step-by-step explanation: