System of non linear equations using the quadratic equation 4x+y=18 5x^2+2y-57=0

Answer:

The argument for the square root cannot be negative, nor can the denominator expression be zero. Hence the square root argument must be strictly positive, i.e. .

As an interval, the domain is

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

Step-by-step explanation:

Answer:

Step-by-step explanation:

first option duhh

From the information provided in this question, it is not possible to accurately determine the proportion of winning actresses who were between 30 and 40 years old when they won the Oscar or the shape of the distribution.

The histogram only provides the frequencies (proportions) of actresses at different age ranges (e.g. 0.39, 0.40, 0.41, 0.45), but it does not provide information about the actual ages or the number of actresses.

In order to determine the proportion of winning actresses within a specific age range, additional information such as the number of actresses in each age group or a plot of the actual ages would be necessary. Similarly, the shape of the distribution cannot be determined accurately based on the information provided, as the histogram only provides the frequencies.

Therefore, the information provided is not sufficient to answer the questions asked.

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Answer:

  RS = 38

Step-by-step explanation:

Given ∆XYZ ~ ∆RST with XY=5x-3, XZ=60, RS=3x+2, RT=40, you want the length of RS.

Corresponding sides of similar triangles have the same ratios:

  XY/XZ = RS/RT

  (5x -3)/60 = (3x +2)/40 . . . substitute given lengths

  2(5x -3) = 3(3x +2) . . . . . . . multiply by 120

  10x -6 = 9x +6 . . . . . . . . . . . eliminate parentheses

  x = 12 . . . . . . . . . . . . . . . add 6-9x to both sides

Using this value of x we can find RS:

  RS = 3x +2

  RS = 3(12) +2

  RS = 38

__

Additional comment

The value of XY is 5(12)-3 = 57, and the above ratio equation becomes ...

  57/60 = 38/40 . . . . . both ratios reduce to 19/20.

The correct conclusion in this case would be "Fail to reject the null hypothesis."

When conducting a hypothesis test, the null hypothesis is typically assumed to be true unless there is sufficient evidence to reject it in favor of the alternative hypothesis. In this scenario, with a two-sided test at a 0.05 level of significance, the critical value (or cutoff) for the test statistic would be ±1.96.

Since the test statistic of z-0.92 does not exceed the critical value of ±1.96, we do not have enough evidence to reject the null hypothesis. Therefore, the conclusion is to fail to reject the null hypothesis.

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The region bounded by the x-axis, the lines x = -3 and x = 0, and the function y = f(x) = (x+3)2 can be calculated using the limit of sums approach.

On the x-axis, we define small subintervals of width x between [-3, 0]. In the event that there are n subintervals, then x = (0 - (-3))/n = 3/n.

Rectangles within each subinterval can be used to roughly represent the area under the curve. Each rectangle has a height determined by the function f(x) and a width of x.

The area of each rectangle is f(x) * x = (x+3)2 * (3/n).

The total area is calculated by taking the limit and adding the areas of each rectangle as n approaches infinity:

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Each point in a scatter plot represents a single observation of the two numerical variables being plotted.

The x-coordinate of the point represents the value of one variable, and the y-coordinate represents the value of the other variable. The position of the point on the plot provides information about the relationship between the two variables for that particular observation.

A scatter plot is a useful tool for visualizing the relationship between two numerical variables because it allows us to easily see patterns in the data. The position of each point on the plot represents the values of the two variables for a single observation, which makes it easy to spot trends or clusters in the data. By plotting multiple points on the same graph, a scatter plot allows us to see patterns that might be difficult to discern from a list of raw data. Additionally, it can help identifying outliers, correlation, and distribution of the data.

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Answer:

The answer is 47

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

Therefore, the probability that a randomly purchased item will last longer than 1 year is Probability ≈ 97.72%

To calculate the probability that an item will last longer than 1 year, we'll use the z-score formula. The z-score represents how many standard deviations an observed value is from the mean. The formula for the z-score is:
z = (X - μ) / σ
where X is the observed value (1 year), μ is the mean (2 years), and σ is the standard deviation (0.5 years).
Now, let's calculate the z-score:
z = (1 - 2) / 0.5
z = -1 / 0.5
z = -2
Next, we'll use a z-table to find the probability corresponding to the z-score of -2. The z-table value for -2 is 0.0228. Since we're looking for the probability that an item will last longer than 1 year, we need to consider the area to the right of the z-score, which can be calculated as:
Probability = 1 - 0.0228 = 0.9772

Therefore, the probability that a randomly purchased item will last longer than 1 year is Probability ≈ 97.72%

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The volume of the shape generated enclosed between the x-axis, the curve y=ex, and the ordinates x = 0 and x = 1, rotated around the x-axis is π(e⁴ −1)/3 and when rotated around the y-axis is 2π(e−1).

The curve is y=ex. Here we need to determine the volume of the shape generated which is enclosed between the x-axis, the curve y=ex, and the ordinates x = 0 and x = 1, rotated around the x-axis and the y-axis. So we need to apply the formula of volume for each of these cases separately.

(i) When rotated around the x-axis: For this we need to use the washer method. Consider a small element at x which has a thickness of dx and radius of r. Here the radius of the element is given by r=y=r=ex and the height of the element is dx. Using the formula of volume, we get V = π∫[r(x)]²dx , here the limits are from 0 to 1

V = π∫[ex]²dx, Here the limits are from 0 to 1

After integrating, we get V = π∫[ex]²dx = π(e⁴ −1)/3

(ii) When rotated around the y-axis: For this we need to use the shell method. Consider a small element at x that has a thickness of dx and height of h. Here the radius of the element is given by r=x and the height of the element is h=ex.

Using the formula of volume, we get

V = 2π∫rhdx , here the limits are from 0 to eV = 2π∫x.exdx, and here the limits are from 0 to 1. After integrating, we get

V = 2π∫x.exdx = 2π(e−1).

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Answer:

\(\frac{2x+y}{w}\)

Hello!

\(\large\boxed{\frac{19}{30}}\)

There are 60 minutes in an hour, so:

38 / 60

Reduce the fraction by diving by the GCF, or 2:

(38/2) / (60/2) = 19 / 30.

The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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Answer:

Below in bold.

Step-by-step explanation:

The definition of direct variation is  y = kx where k is a constant.

So, if y/x is a constant for the data, we have direct variation.

So, checking the rows in the given table:

y/x = 11/8

y/x = 22/16 = 11/8

y/x = 33/24 = 11/8

- we see that this is direct variation.

So, k = 11/8 and

The equation is

y = (11/8) x

or

y = 11x/8

or

y = 1.375x  in decimal form.

Answer:

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

Direct variation equation:

Use the pairs of coordinates and find the value of k, then compare:

The value of k is same with all ordered pairs and the equation is:

Answer:

-40

Step-by-step explanation:

please do not cry

Answer:

no solution is the answer

Step-by-step explanation:

A lovely beach resort is Data Island. Since it first became a popular tourist destination more than 80 years ago, the earliest vacation homes have been constructed just a few steps from the beach. You are a real estate agent for a company that deals in vacation rentals and sales in the Data Islands. A report was recently presented to you by one of the interns on the data science team. The age of a house affects its price, according to the linear regression model they have ran. But this is absurd because newer homes ought to be more valuable.

1.  As the coefficient of Age is positive, so the older the house, the more price it is. Sig. (or p-value) = 0.000 which implies  that the co-efficient of Age is significant.

2.  This may be that the people who live there are reluctant to sell it, so they quote a higher price or the size of old houses are large or they may be located at prime location.

3.  We would ask new interns to consider other independent variables for the regression equation like size of house, location, etc.

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Answer: B

Step-by-step explanation:

10 7/8 = 87/8 yards of cloth in roll one

12 1/4 = 49/4 = 98/8 yards of cloth in roll 2

87/8 + 98/8 = 185/8 total yards of cloth

4 3/8 = 35/8 yards lost in one roll

35/8 *4 = 140/8 yards lost in 4 rolls

185/8 - 140/8 = 45/8 remaining yards

45/8 = 5 5/8 Reduced fraction

Answer:

Step-by-step explanation:

sum of ratio=6+4+3=13

let the total price of houses=x

then

\(\frac{3}{13} x=240,000\\x=240,000 \times \frac{13}{3} =1,040,000\\price of first house=1,040,000 \times \frac{6}{13} =480,000\\price~of~second~house=1,040,000 \times \frac{4}{13}=320,000\)

Answer:

3/5 3/4

3/5*4/3=12/15=4/5

4/5 cups of water

because 4/3 is the reciprocal of 3/4 and so 3/4*4/3=1

The multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial   x²+x+1.

To find the multiplicative inverse of the element [c] in this finite field.

We need to define the irreducible polynomial f(x)=x²+x+1  as the modulus.

Set up the extended Euclidean algorithm with f(x) and x and perform the calculations until the remainder becomes a constant (degree 0) polynomial.

The coefficient of the constant term in the remainder polynomial will be the multiplicative inverse of [c] in the finite field.

The extended Euclidean algorithm:

f(x) = x²+x+1

x = f(x) × 0 + x

x = (x) × (-1) + (x + 1)

-1 = x + 1

Hence, the multiplicative inverse of [c] is [x+1]in the finite field defined by the irreducible polynomial   x²+x+1.

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The light post height is around 9.71 feet tall 

We are ready to utilize comparative triangles to get it this issue.

The stature of the young lady and the light post diagrams facilitate comparing sides, and the length of the girl's shadow and the confinement from the energetic lady to the light post shape the other facilities.

Since the triangles are comparative, the degree of comparing sides must rise.

Let's call the height of the light post "x". At that point we are ready to set up the taking after degree:

The stature of youthful woman/length of girl's shadow

= stature of light post / apportioned from energetic lady to light post

Stopping inside the given values, we get:

4 / 3.5 = x / 8.5

Moving forward with this condition, able to cross-multiply and light up for  x:

4 * 8.5 = 3.5 * x

34 = 3.5x

x = 34 / 3.5

x ≈ 9.71

In this way, the light post is around 9.71 feet tall.

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The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).

Explanation:

The mean length of a certain product X is μ = 18 inches.

As we know that the length of a certain product X is normally distributed.

So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.

Let's find the probability of X > 18 using the standard normal distribution table:

P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5

Therefore, P(X > 18) = 0.5

Using the complement rule, the probability of X < 18 can be obtained:

P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5

Therefore, the probability P(X > 18) is the same as P(X < 18).

Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.

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The integral: S1 0 (-x³ - 2x² - x + 3)dx is -1/12

An integral is a mathematical operation that calculates the area under a curve or the value of a function at a specific point. It is denoted by the symbol ∫ and is used in calculus to find the total amount of change over an interval.

To evaluate the integral:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx $\)

We can integrate each term of the polynomial separately using the power rule of integration, which states that:

\($ \int x^n dx = \frac{x^{n+1}}{n+1} + C $\)

where C is the constant of integration.

So, we have:

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = \left[-\frac{x^4}{4} - \frac{2x^3}{3} - \frac{x^2}{2} + 3x\right]_0^1 $\)

Now we can substitute the upper limit of integration (1) into the expression, and then subtract the result of substituting the lower limit of integration (0):

\($ \left[-\frac{1^4}{4} - \frac{2(1^3)}{3} - \frac{1^2}{2} + 3(1)\right] - \left[-\frac{0^4}{4} - \frac{2(0^3)}{3} - \frac{0^2}{2} + 3(0)\right] $\)

Simplifying:

\($ = \left[-\frac{1}{4} - \frac{2}{3} - \frac{1}{2} + 3\right] - \left[0\right] $\)

\($ = -\frac{1}{12} $\)

Therefore,

\($ \int_0^1 (-x^3 - 2x^2 - x + 3)dx = -\frac{1}{12} $\)

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Answer:

133°

Step-by-step explanation:

 supplementary angeles sum 180°

a = 3b - 8. Eq. 1

a + b = 180. Eq. 2

Replacing Eq.1 in Eq.2

(3b - 8) + b = 180

3b + b = 180 + 8.

4b = 188

b = 188/4.

b = 47°

From Eq. 1:

a = 3b - 8.

a = 3*47 - 8.

a = 141 - 8.

a = 133°

then:

133>47

The larger anglel is:

133°

Blocking can allude to an assortment of activities, but for the most part, talking includes anticipating somebody or something from getting to or collaborating with a specific individual, framework, or asset. Here are a few of the common objectives and benefits of blocking:

Security: Blocking can be utilized as a security degree to anticipate unauthorized get too touchy data or assets. For illustration, arrange chairmen can piece certain IP addresses or spaces from getting to their company's servers to avoid hacking endeavors.

Protection: Blocking can too be utilized to secure individual protection. For occurrence, social media clients can piece other clients who are annoying them or posting improper substances.

Efficiency: Blocking can be utilized to extend efficiency by blocking diverting websites or apps during work hours.

Parental control: Guardians can utilize blocking to confine their children get to improper substances on the web or to constrain their time going through certain apps or websites.

Asset administration: Blocking can be utilized to oversee assets productively. For case, organize chairmen can piece certain applications or websites to avoid them from utilizing up as well as much transmission capacity.

Generally, the objective of blocking is to avoid undesirable or destructive intelligence or exercises, and the benefits incorporate expanded security, security, efficiency, and asset administration. 

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The perimeter of the triangles are 12m and 16.2m.

Perimeter is a term used in geometry to refer to the total distance around the outside of a two-dimensional shape. It is the sum of the lengths of all the sides of the shape. The perimeter is commonly used to describe the "outer boundary" or "circumference" of a shape

According to the given information:

In the first triangle ABC, given that AB=5m and ∠B=53°.

By using trigonometric function,

sin 53° = \(\frac{opp}{hyp}\)

0.7986 = \(\frac{AC}{5}\)

AC = 3.993 ≈ 4

Cos 53° = \(\frac{adj}{hyp}\)

0.601 = \(\frac{CB}{5}\)

CB = 3.005 ≈ 3

Perimeter = 3+4+5 = 12m

In the second triangle ABC, given that AC=4.5m and ∠B=42°.

By using trigonometric function,

sin 42° = \(\frac{opp}{hyp}\)

0.6691 = \(\frac{4.5}{AB}\)

AB = 6.725 ≈ 6.7

cos 42° = \(\frac{BC}{AB}\)

0.7431 = \(\frac{BC}{6.7}\)

BC = 4.97 ≈ 5

Perimeter = 5+6.7+4.5 ≈ 16.2

The perimeter of the two triangles are 12m and 16.2m

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