x1+x2=3 x1•x2=-7 quadratic equation answer please​

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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The True statement is :

The sock is 4 times as likely to be white as red.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total socks= 24

White socks= 12

Red socks= 3.

Blue socks= 9

As, the number of white socks is 4 times the number of red socks.

Now, The socks blue socks is 3 times the number of red socks.

and, the chances of getting white socks is most.

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Answer:

h = s+100

and just plug in the value of s. I have done it in the figure

Answer:

144

Step-by-step explanation:

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

The two given theorems are as follows:

a) The square root of every positive number less than one is greater than the number itself.

c) Every real number besides 0 has a multiplicative inverse.

To restate these theorems, we can write:

a) If a number is positive and less than one, then its square root is greater than the number itself.

c) For every real number x ≠ 0, there exists a real number y such that xy = 1.2.2.2 Determine whether the statement is true or false by direct proof or counterexample

The second part of the question asks to determine whether the given statement is true or false by direct proof or counterexample.

The statement is as follows:b) If x + y is an even integer, then x and y are both even integers.

To prove that the statement is true, we need to show that if x + y is an even integer, then x and y are both even integers. Let x = 2a and y = 2b, where a and b are integers. Then x + y = 2a + 2b = 2(a + b), which is even.

Hence, the statement is true.To show that the statement is false, we need to give a counterexample. Let x = 2 and y = 3.

Then x + y = 2 + 3 = 5, which is odd. However, x = 2 is even.

Hence, the statement is false.

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The approximately 59.90 percent of the observations differ from the mean by less than 0.56o.

The standard deviation is a measure of the amount of variation or dispersion in a set of observations.

For a normal distribution, it is straightforward to determine the proportion of values that are more than a certain number of standard deviations above or below the mean.

Here's how to determine the percentage of observations that differ from the mean by more than 2.50 or less than 0.56o in a normally distributed set of observations.

Solution:

(a)  The percentage of observations that differ from the mean by more than 2.50 is given by the formula below:P(Z > 2.50) + P(Z < -2.50) = 0.00621 + 0.00621 = 0.0124

To obtain the proportion in percentage, multiply by 100: 0.0124 * 100 = 1.24%.

Therefore, about 1.24 percent of the observations differ from the mean by more than 2.50.

(b) The proportion of observations that differ from the mean by less than 0.56o is given by:

P(-0.56/σ < Z < 0.56/σ) = P(Z < 0.84) − P(Z < -0.84) = 0.7995 - 0.2005 = 0.5990

To obtain the proportion in percentage, multiply by 100: 0.5990 * 100 = 59.90%.

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If a set of observations is normally distributed.

Therefore, about 0.62% of the observations differ from the mean by more than 2.50.

About 29.24% of the observations differ from the mean by less than 0.56.

Solution: (a) If a set of observations is normally distributed, then the percentage of observations that differ from the mean by more than 2.50 is given by:

This is calculated using the z-score formula: where x is the observation value, μ is the mean of the distribution, and σ is the standard deviation of the distribution. When we substitute the values of the given parameters, we get: Therefore, about 0.62% of the observations differ from the mean by more than 2.50.

(b) Similarly, the percentage of observations that differ from the mean by less than 0.56 is given by: This is calculated using the z-score formula: When we substitute the values of the given parameters, we get: Therefore, about 29.24% of the observations differ from the mean by less than 0.56.

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Answer:

x<-3

x=>-5

Step-by-step explanation:

I think this is right... I haven't done inequalities in several years

Answer:

top is correct byereeeeeeeeee

In summary, the relationships between the corresponding sides and angles of similar triangles are: Corresponding sides are proportional and congruent.

When two triangles are similar, the corresponding sides of the triangles are proportional. This means that the ratio of the lengths of corresponding sides in the two triangles is equal. Similarly, the corresponding angles of similar triangles are congruent. This means that the angles in the two triangles that correspond to each other are equal in measure.

When two triangles are similar, it means that they have the same shape but possibly different sizes. The concept of similarity implies that the corresponding sides of the triangles have the same proportional relationship.

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The lower limit for the standard deviation is always 0, while the upper limit depends on the data and its distribution.

The standard deviation is a measure of the spread or dispersion of a set of data. It is defined as the square root of the variance, which is the average of the squared differences between each data point and the mean of the data. Since the variance involves squaring the differences, it is always positive or zero. Therefore, the standard deviation cannot be negative and has a lower limit of 0.

The upper limit of the standard deviation depends on the data and its distribution. In general, the standard deviation cannot be greater than the range of the data, which is the difference between the maximum and minimum values. For example, if the range of the data is 10 and the standard deviation is 15, then there must be an error or some issue with the data.

However, in some cases, the standard deviation can be much larger than the range of the data. This can happen if the data is highly skewed or has outliers. Skewed data is when the distribution of the data is not symmetrical, and most of the data falls on one side of the mean. In this case, the standard deviation may be much larger than the range of the data, as it takes into account the extreme values.

Outliers are data points that are much larger or smaller than the rest of the data. They can have a significant effect on the standard deviation, as they increase the variability of the data. In some cases, outliers may be errors or anomalies that should be removed from the data set before calculating the standard deviation.

In summary, the lower limit of the standard deviation is always 0, while the upper limit depends on the data and its distribution. In general, the standard deviation cannot be greater than the range of the data, but it can be much larger if the data is highly skewed or has outliers. It is important to consider the context of the data and any potential issues before interpreting the standard deviation.

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Answer:

yes she is correct

Step-by-step explanation:

12.5%=1/8 so 3/8 is 12.5%x3 and 12.5%x3=37.5% so 3/8=37.5%

The random process Y(t) is not wide-sense stationary (WSS) because the phase term, ϕ, is uniformly distributed between 0 and π/4. In a WSS process, the statistical properties, such as mean and autocorrelation, should be independent of time.

To determine if the random process Y(t) is wide-sense stationary (WSS), we need to examine its statistical properties. A WSS process has two main characteristics: time-invariance and finite second-order moments.

Let's analyze the given process: Y(t) = A sin(wet + ϕ), where A is the amplitude, ω is the angular frequency, et is the time, and ϕ is uniformly distributed between 0 and π/4.

1. Time-Invariance: A WSS process should exhibit statistical properties that are independent of time. In this case, the phase term ϕ is uniformly distributed between 0 and π/4. As time progresses, the phase term ϕ changes randomly, leading to time-dependent variations in the process Y(t). Therefore, the process is not time-invariant and does not satisfy the first condition for WSS.

2. Finite Second-Order Moments: A WSS process should have finite mean and autocorrelation functions. Let's examine the mean and autocorrelation of Y(t):

Mean: E[Y(t)] = E[A sin(wet + ϕ)] = A E[sin(wet + ϕ)]

Since ϕ is uniformly distributed between 0 and π/4, its expected value is E[ϕ] = (0 + π/4) / 2 = π/8.

E[Y(t)] = A E[sin(wet + ϕ)] = A E[sin(wet + π/8)]

The expected value of sin(wet + π/8) is not zero, and it varies with time. Therefore, the mean of Y(t) is time-dependent, violating the WSS condition.

Autocorrelation: R_Y(t1, t2) = E[Y(t1)Y(t2)] = E[A sin(wet1 + ϕ)A sin(wet2 + ϕ)]

Expanding this expression and taking expectations, we have:

R_Y(t1, t2) = A^2 E[sin(wet1 + ϕ)sin(wet2 + ϕ)]

The product of two sine terms can be expanded using trigonometric identities. The resulting expression will involve cosines and sines of the sum and difference of the angles. Since ϕ is uniformly distributed, these trigonometric terms will also vary with time, making the autocorrelation function time-dependent.

Hence, we can conclude that the random process Y(t) is not wide-sense stationary (WSS) due to the time-dependent phase term ϕ, which violates the time-invariance property required for WSS processes.

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Answer:

4) 1536 cm        5) 2048 yd

Step-by-step explanation:

4)  Area

Separate the diagram into  square and rectangle

So   square area is   a²

        a= 24²

    a = 576 cm

Rectangle area is  L × W

       a=  40 × 24

       a   = 960 cm

So total area of diagram is 1536

5)

Repeat the same process

    Area is 2048

Answer:

\(2\sqrt{10}\)\(x\)⁴\(y\\\)²\(\sqrt{y}\)

Step-by-step explanation:

On solving the equation Ý = 140 + (-0.0667)X, the value for blood pressure is obtained as 129.328 mm Hg.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The equation is given as Ý = 140 + (-0.0667)X.

An amount of medication of 160 mg is found to result in a blood pressure of 127.74 mm Hg.

Here the value of X is X = 160.

The predicted blood pressure will be -

Ý = 140 + (-0.0667)160

Ý = 140 - 10.672

Ý = 129.328

The predicted blood pressure value is 129.328 mm Hg.

Here the predicted blood pressure value 129.328 mm Hg is greater than the actual blood pressure value 127.74 mm Hg.

Therefore, the observed value will be below the regression line.

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Answers:

In other words, x = 3  and y = 3

===========================================================

Explanation:

Let's solve the first equation for x. I'm picking on this equation variable because the coefficient is 1.

Solving for x leads to

x-2y = -3

x = -3+2y

I added 2y to both sides

Now we'll plug this into the other equation. This means we replace every copy of x with -3+2y since they are the same thing.

3x + 5y = 24

3( x ) + 5y = 24

3( -3+2y ) + 5y = 24 .... replace x with -3+2y

3(-3) + 3(2y) + 5y = 24 .... distribute

-9 + 6y + 5y = 24

11y-9 = 24

11y-9+9 = 24+9 ...... adding 9 to both sides

11y = 33

11y/11 = 33/11 .... dividing both sides by 11

y = 3

We'll use this y value to find x. We can pick on any equation with x & y in it, but I find it's easiest to use the equation where x is isolated

x = -3+2y

x = -3+2(3) .... replace y with 3

x = -3+6

x = 3

So both x and y are equal to 3

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

Let's check the answer

Plug (x,y) = (3,3) into the first equation. We should get the same number on both sides after simplifying fully

x-2y = -3

3 - 2(3) = -3

3 - 6 = -3

-3 = -3

So far, so good. Let's try the other equation

3x + 5y = 24

3(3) + 5(3) = 24

9 + 15 = 24

24 = 24

The other equation is true as well. This fully confirms that (x,y) = (3,3) is the solution to this system of equations. If you graphed each original equation, you should find they cross at the location (3,3).

Side note: it won't always be the case that x and y are the same value.

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

The measure of C'T' is √17 units after the rotation .

Rotation of a graph is a transformation in which the figure is rotated around a fixed point.

The given triangle is CAT and it has the coordinates as C(0,0) , A(-2,1) and T(-1,4).

So when the figure is rotated about a fixed point the side lengths will remain same as the original figure.

C'T' = CT = √17 (the value of CT is given)

Hence the length of  C′T′ is √17 units .

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Answer

The answer in scientific = 6×10^2

Explanation

We are asked to simplify the expression.

48×10^5 / 8×10^3

We need to break this down to simplify it

6×10^2 = 600.

Hope this Helps!!!

Answer:

174 I'm pretty sure

Step-by-step explanation:

multiply 9 x10 = 90

subtract 90 - 3=87

multiply 87×2

Answer:81*10^-6 which becomes 8.1*10^-5

? maybe

Step-by-step explanation:

Answer:

43.96 cm

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = 2πr

where r is the radius of the circle and π is a mathematical constant approximately equal to 3.14.

Given that the radius of the circle is 7 cm, we can substitute this value into the formula and simplify:

C = 2πr

C = 2 × 3.14 × 7

C = 43.96

Therefore, the circumference of the circle is approximately 43.96 cm.

The number of ants that Chet's ant farm have based on the median given is 96 ants.

Your information is incomplete. Therefore, the numbers will be assumed. Let's assume that the numbers of ants in each column is 12.

In this case, when Chet's ant farm in the data, the median is 8. Therefore, the number of ants will be:

= 12 × 8

= 96 ants.

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Answer:

FG and DG are congruent, because of CPCTC.

3a = a + 6

2a = 6

a = 3

DF = 3a + a + 6

DF = 9 + 3 + 6

DF = 18

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The integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

To evaluate the integral of du/sqrt(a^2 - u^2), we can use a trigonometric substitution. Let's substitute u = asin(theta), where theta is a new variable. Differentiating u with respect to theta gives du = acos(theta)*d(theta).

Now, let's substitute these expressions back into the integral:

∫(du/sqrt(a^2 - u^2)) = ∫((acos(theta)d(theta))/sqrt(a^2 - a^2sin^2(theta)))

Simplifying the expression under the square root:

= ∫((acos(theta)d(theta))/sqrt(a^2(1 - sin^2(theta))))

= ∫((a*cos(theta)d(theta))/(acos(theta)))

= ∫d(theta)

= theta + C

Since we made the substitution u = asin(theta), we need to express the result in terms of u. Using the relationship u = asin(theta), we can find theta = arcsin(u/a). Therefore, the integral becomes:

∫(du/sqrt(a^2 - u^2)) = theta + C = arcsin(u/a) + C

Hence, the integral of du/sqrt(a^2 - u^2) is arcsin(u/a) + C, where a is a constant and C is the constant of integration.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Solving the equation

= 2 + 2 sin θ = 4 cos²θ, for θ

we are given the equation as:

=2 + 2 sin θ

= 4 cos²θ

=2 sin θ

= 4 cos²θ

1 + sin θ = 2 cos²θ

We know the identity.

= sin²θ + cos²θ = 1

sin²θ + cos²θ = 11 - cos²θ

= sin²θ

We substitute into the given equation:

1 + sin θ = 2 (1 - cos²θ)

1 + sin θ = 2 - 2 cos²θ

Add 2 cos²θ to both sides:

1 + sin θ + 2 cos²θ = 2

Divide both sides by 2:

=cos²θ + (sin θ / 2)

= 1

Then, cos²θ = 1 - (sin θ / 2)

2 + 2 sin θ = 4 (1 - (sin θ / 2))

2 + 2 sin θ = 4 - 2 sin θ

We add 2 sin θ to both sides:

4 sin θ = 2

Solve for θ

θ = 1/2 sin⁻¹ (1/2)

The solution is thus θ = sin⁻¹ (0.5) with a value of approximately 30°.

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Answer: $250

Step-by-step explanation:

If Jake still owes $185 and only just paid back $65, you need to add 185 and 65 together to get the total amount that he borrowed.

Answer:

Look below.

Step-by-step explanation:

FYI: Im a bit confused on what this question is asking but I am responding based on what I believe the question is asking.

The point 100 spaces to the left of -1 would be (-101,0) and the point 100 spaces to the left of -1 would be (100,0).

The point(s) 100 spaces to the left of -1 would be (- infinity, -1) and the point(s) 100 spaces to the right would be (-1, infinity).

The probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

To find the probability that we will see the movie in theater one and sit in the front row:

Given -

So,

Therefore, the probability that we will see the movie in theater one and sit in the front row is (D) 2.5%.

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The correct question is given below:

Two events are independent. The probability that you are going to see the movie in theater one is 25%. The probability that you will sit in the front row is 10%. What is the probability that you will see the movie in theater one and sit in the front row.

(A) 40%

(B) 35%

(C) 4%

(D) 2.5%