Find the Domain.

7-4x/|2x+5|+3

Answer:

Wait, that's illegal

Step-by-step explanation:

How do you make someone into a brain!?!?!

The value for angle 2 = 4x-4 and ∠4 = x+50 is 68°.

It is important to note that vertical angles are equal.

It was stated that ∠2 = 4x-4 and ∠4 = x+50 are vertical angles. This will be represented as:

4x - 4 = x + 50

Collect like terms

4x - x = 50 + 4

3x = 54

Divide

x = 54 / 3

x = 18

Therefore, the angle will be:

= x + 50

= 18 + 50

= 68°

The complete details is written below.

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∠2 = 4x-4 and ∠4 = x+50 are vertical angles. Find the value of the angle.

The p - value, given the normally distributed sales order size and the number of orders is 0. 0091.

First, come up with the null and alternative hypotheses that are to be tested to be:

H o : μ = 100

Ha : μ > 100

This means that the appropriate test would be a right - tailed test. The population standard deviation that is known will be used.

The z - statistic is therefore:

= ( 105 - 100 ) ( 15 / √ 50 )

= 2. 357

Using the z - table, the p - value is :

= 0. 0091

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The options are:

a. 0. 02 < p - value < 0.05

b. 0.01 < p - value < 0.025

c. 0.0182

d. 0.05 < p - value < 0. 10

e. 0.0091.

The scalar projection of b onto a is -7.33.

The scalar projection of a vector b onto a vector a is the magnitude of the component of b that is parallel to a. It is calculated by taking the dot product of the two vectors, and dividing it by the magnitude of a. Mathematically, this is represented by the equation:

(a⋅b)/|a|

In this example, the dot product of vectors a and b is equal to -66, and the magnitude of vector a is equal to 9. Therefore, the scalar projection of b onto a is equal to -7.33.

To calculate the scalar projection, we first need to calculate the dot product of a and b. To do this, we take the components of each vector and multiply them together. For vector a, this is done by taking -2 multiplied by -3, 8 multiplied by -10, and 3 multiplied by 5. We then add all of these products together to get the dot product of a and b, which is equal to -66.

Next, we calculate the magnitude of vector a, which is done by taking the square root of the sum of the squares of its components. For vector a, this is equal to the square root of (-2)^2 + (8)^2 + (3)^2, which is equal to 9.

Finally, we divide the dot product of a and b by the magnitude of a, which is -66 divided by 9, which is equal to -7.33. Therefore, the scalar projection of b onto a is -7.33.

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The values of the variables in the parallelogram are x = 26 and y = 11. Option C

It is important to note the properties of a parallelogram;

From the information shown in the diagram, we have that;

x - 2 and 24 are opposite sides

y and 11 are opposite sides

Then, we can say that;

y = 11

x - 2 = 24

collect the like terms

x = 24 + 2

add then values

x = 26

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Answer:

1020 cm²

Step-by-step explanation:

The area of a trapezoid is given by:

Area=(big base+small base)/2 ×h

So,

Area=(TR+PA)/2 ×h

Area=(54+31)/2 ×24

Area=85/2 ×24

Area=42.5×24

Area=1020 cm² or Area=0.102 m²

Therefore, the first four terms of the sequence are 5, 2, -1, and The first four terms of the sequence can be found by substituting the values of n = 1, 2, 3, and 4 into the general term a_n = -3n + 8.

For n = 1:

a_1 = -3(1) + 8 = 5

For n = 2:

a_2 = -3(2) + 8 = 2

For n = 3:

a_3 = -3(3) + 8 = -1

For n = 4:

a_4 = -3(4) + 8 = -4

Therefore, the first four terms of the sequence are 5, 2, -1, and -4. Starting with n = 1, we substitute it into the equation and calculate the value of a_1. Similarly, we repeat this process for n = 2, 3, and 4 to find the corresponding terms of the sequence.

In this case, the general term -3n + 8 represents a linear sequence where the term decreases by 3 each time n increases by 1. The initial value is 8, and the common difference is -3.

As we substitute different values of n, we can observe how the sequence progresses and identify the specific terms. In this example, the first four terms of the sequence are found to be 5, 2, -1, and -4.

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We have shown through a direct proof that the difference of two rational numbers is indeed a rational number.

To prove that the difference of two rational numbers is a rational number, we can use a direct proof.

Direct proof:

Let's assume we have two rational numbers, say a and b. By definition, a rational number can be expressed as the ratio of two integers, such that a = p/q and b = r/s, where p, q, r, and s are integers and q ≠ 0, s ≠ 0.

Now, let's consider their difference, c = a - b.

c = a - b = (p/q) - (r/s) = (ps - qr) / (qs)

Since ps - qr and qs are both integers (as integers are closed under addition, subtraction, and multiplication), we can express c as the ratio of two integers, indicating that c is a rational number.

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The probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

The given probability distribution table shows the probabilities of having 1, 2, or 3 computers in a randomly selected home in Queens. However, the probability of having 4 or more computers is not given in the table.

To find the probability of having 4 or more computers in a randomly selected home, we can use the complement rule. The complement rule states that the probability of an event happening is equal to 1 minus the probability of the event not happening. In this case, the event we are interested in is having 4 or more computers in a home, and the complement of this event is having 1, 2, or 3 computers in a home.

So, the probability of having 4 or more computers in a randomly selected home in Queens can be calculated as:

P(4 or more) = 1 - P(1 or 2 or 3)

P(1 or 2 or 3) = P(1) + P(2) + P(3) = 0.4 + 0.3 + 0.2 = 0.9

P(4 or more) = 1 - 0.9 = 0.1

Therefore, the probability that a randomly selected home in Queens has 4 or more computers is 0.1 or 10%. The correct answer is (b) 0.10.

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Answer:

Um what’s the question

Step-by-step explanation:

Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

The two numbers are 6 and 2.

Let's assume the first number is x and the second number is y.

From the first statement, we can write the equation x = y + 4.

From the second statement, we can write the equation 2x = 4y + 2.

Now, we can substitute x in terms of y from the first equation into the second equation:

2(y + 4) = 4y + 2

Simplifying this equation, we get:

2y + 8 = 4y + 2

2y = 6

y = 3

Substituting y = 3 in the first equation, we get:

x = y + 4 = 3 + 4 = 7

Therefore, 6 and 2 are the two numbers,


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Answer:

x=-4

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

57 times 100 divided by 95

Answer:

The original price is $60

Step-by-step explanation:

So we can make an equation

We know the sale is 5 percent

So 5 percent off technically means we‘re just paying 95 percent of the product

The new sale price is 57

So an equation could be

We just don’t know what the orignal price is, that could be the variable X

0.95x=57

You multiply the original price by 0.95 becuase your paying 95 percent for the object so its easier, its a simple 1 step, you can of course do a 2 step (below) but I prefer 1.

Now solve the equation normally

57/0.95=60

So 60 is the original price

You can check by just multiplying 60 by 0.95 becuase you pay 95 percent of object, you’d get 57

OR you can check by just multiplying 60 by 5 percent or 0.05 and you’d get 3. 60-3=57

Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

If any doubt leave a comment

Answer:

Your suppose to plot the numbers above by the x and y axis

Step-by-step explanation:

Answer & Step-by-step explanation:

The vertical line test is used to determine if a given relation is a function.

How it works:

You can use anything that has a straight edge, usually a pencil. Hold it up to the graph at multiple points vertically.

Now, if the pencil crosses over two points, the relation is not a function. If you hold the pencil to the graph and it doesn't cross over two points, then the relation is a function.

If you hold a pencil to the graph vertically at each given point, the pencil does not cross over two points. Therefore, the relation is a function.

:Done

Answer:

4.5×10−3 (note that as we have moved decimal three point to right we are multiplying by 10−3 .

The number 0.0045 can be expressed in scientific notation as 4.5 × 10⁽⁻³⁾.

In scientific notation, a number is written in the form of "a × 10ⁿ," where "a" is a number between 1 and 10 (in this case, 4.5) and "n" represents the exponent that determines the scale (in this case, -3).

The negative exponent indicates that the decimal point is shifted three places to the left, making the number smaller. So, 0.0045 written in scientific notation emphasizes the significance of the decimal point and the smallness of the value, making it easier to handle and compare with other numbers of varying magnitudes.

Therefore, The number 0.0045 can be expressed in scientific notation as 4.5 × 10⁽⁻³⁾.

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The rate of change of the function is -4.

The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).

Consider the two points (1,15) and (2,11).

The rate of change of the function is nothing but the slope of the line passing through the points (1,15) and (2,11) which is:

m = (11 - 15)/(2 -1)

m = -4

Hence, the rate of change of the function is -4.

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The nutritionist should perform hypothesis testing followed by Independent T-test to see if coffee and tea differ in mean caffeine content .

We need to Know about Hypothesis testing and independent t test to answer this-

Hypothesis testing is a type of statistical test that is used to comapare data and drawing conclusion from them.

An independent t-test is a statistical test that determines whether the means of two unrelated groups are significantly different from each other.

We can find the difference caffeine content following these steps -

1)H0=Null hypothesis=tea and coffee has same caffeine level

HA=tea and coffee has different caffeine level

2)The independent samples t-test is utilized to determine whether two different sample means come from the same population or whether they come from two distinct populations with different mean values. Two populations can be considered independent when the data in one group is not connected to the data in the other group.

The t value obtained should be then performed under hypothesis testing.

3)And the calculated T value should be comaperd with the desired significance level (generally =0.05) and if the t value comes in between the critical values the nutritionist can assume that both tea and coffee has same caffeine level in this null hypothesis will be accepted.

Whereas if the calculated t value doesn't falls in between the critical value then the nutritionist can assume that tea and coffee has different caffeine level.

Hence null hypothesis will be rejected.

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The calculated value of x in the circle is 59

From the question, we have the following parameters that can be used in our computation:

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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A correlation does not simply mean that two or more variables are present together. The statement is false.

Correlation can be positive, negative, or zero.
Positive correlation means that as one variable increases, the other variable also increases. For example, there is a positive correlation between the amount of studying and exam scores.

Negative correlation means that as one variable increases, the other variable decreases. For example, there is a negative correlation between the number of hours spent watching TV and physical activity levels.

Zero correlation means that there is no relationship between the variables. For example, there is zero correlation between the number of pets someone owns and their height.

It's important to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change.

To summarize, a correlation measures the statistical relationship between variables, whether positive, negative, or zero. It is not simply the presence of two or more variables together. The statement is false.

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To determine the convergence or divergence of an alternating series, you can use the Alternating Series Test. This test states that if the terms of an alternating series decrease in absolute value and approach zero, then the series converges.

Additionally, if the terms do not approach zero, the series diverges.

To apply the Alternating Series Test, you need to check two conditions:

1. The terms of the series must alternate in sign.

2. The absolute value of the terms must decrease or approach zero.

If both conditions are satisfied, you can conclude that the alternating series converges. However, if either condition fails, the series diverges.

If you want to determine the convergence or divergence more precisely, you can use the Integral Test or the Comparison Test. The Integral Test allows you to compare the convergence or divergence of a series to the convergence or divergence of an improper integral. If the integral converges, the series converges, and if the integral diverges, the series diverges.

The Comparison Test is another method to determine the convergence or divergence of a series. It involves comparing the given series with a known series whose convergence or divergence is already known. If the known series converges and the terms of the given series are less than or equal to the corresponding terms of the known series, then the given series also converges. Conversely, if the known series diverges and the terms of the given series are greater than or equal to the corresponding terms of the known series, then the given series also diverges.

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The distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Which of the following is an example of distributive property of multiplication over addition for rational numbers

(a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

(b) -3/4 × {2/3 + (-5/6)} = [3/4 × 2/3] - (-5/6)

(c) -3/4 × {2/3 + (-5/6)} = 2/3 + (-3/4) × -5/6

(d) -3/4 × {2/3 + (-5/6)} = {2/3 + (-5/6)} - 3/4

The distributive property of multiplication states that:

a * (b + c) = (a * b) + (a * c)

From the given question, we have:

-3/4 × {2/3 + (-5/6)}

This means that:

a = -3/4

b = 2/3

c = -5/6

Recall that a * (b + c) = (a * b) + (a * c)

So, we have:

-3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

Hence, the distributive property of multiplication over addition for rational numbers is (a) -3/4 × {2/3 + (-5/6)} = [-3/4 × 2/3] + [-3/4 × (-5/6)]

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Answer:

19

Step-by-step explanation:

Plug in

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

They can chose the best song out or used others opinion.

Step-by-step explanation:

The answer is 231 inches.

To understand how we arrive at this answer, let's break down the given measurement step by step. We have 6 yards, 3 feet, and 7 inches.

Starting with yards, we know that 1 yard is equal to 3 feet, so 6 yards would be equivalent to 6 * 3 = 18 feet. Adding the 3 feet given, we have a total of 18 + 3 = 21 feet.

Moving on to inches, we know that 1 foot is equal to 12 inches. So, the 21 feet we calculated earlier would be equal to 21 * 12 = 252 inches. Finally, adding the 7 inches given, we get a total of 252 + 7 = 259 inches.

Therefore, 6 yards 3 feet 7 inches is equal to 259 inches.

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There was $4.50 in the tip jar during the opening.

Since, A linear equation has a standard form of:

y = mx + b

where

y = amount of money in tip jar,

m = slope,

x = number of hours,

b = y intercept

Hence, We select any two paired data to calculate for the slope:

m = (y₂ - y₁) / (x₂ - x₁)

m = (18.25 – 15.50) / (5 – 4)

m = 2.75

Thus, The equation is,

y = 2.75x + b

Now, Choosing any one data pair to calculate for b the y-intercept:

15.50 = 2.75 (4) + b

b = 4.5

Therefore, there was $4.50 in the tip jar during the opening.

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If the distance an athlete throws a hammer follows a normal distribution with mean= 50 feet and standard deviation= 5 feet, then the probability he throws it between 50 feet and 60 feet is 0.4772

To find the probability he throws it between 50 feet and 60 feet, follow these steps:

Hence, the probability he throws a hammer between 50 feet and 60 feet is 0.4772

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