Question 1 of 16
Which of the following is true about the function below?
1
x-6
A. Its domain is (6,∞) and its range is (-∞∞).
B. Its domain is (-∞,0] and its range is (0, ∞).
C. Its domain is [6,∞) and its range is (-∞, 0) U (0, ∞).
D. Its domain is (6,00) and its range is (0,00).

Answer:

33084

Step-by-step explanation:

22056 divided by 2 =11028

altogether (on sunday and monday) the total amount would be..

22056+11028=33084

Answer:

33084

Step-by-step explanation:

If 22056 people came to the game on Sunday and Half as many people came on Monday, you do

22056 divided by 2. this is how many people cam on monday

Add this answer to 22056 and this is how many people came on both days.

Answer: It would cost $47.3 to fill the same tank in 2010

Step-by-step explanation:

In 1970

Total cost to fill the tank = $6

Cost per capacity of tank = $0.36

Capacity of tank = Total cost / Cost per capacity of tank

Capacity = 6/0.36

Capacity = 16.6

Therefore

In 2010

Cost per capacity of tank = $2.84

And we now know it capacity = 16.6

Total cost to fill the tank = 2.84 * 16.6

Total cost = $47.3

Hope this helps have a awesome day ❤️✨

Answer:

8

Step-by-step explanation:

3 +  3  + 2

Answer:

d

Step-by-step explanation:

Answer:

9y - 3

Step-by-step explanation:

3(y - 1 + 2y)

3y - 3 +6y

9y - 3

Use the formula S= C+r•C

where S is the selling price

C is the cost

and r is the markup rate

Given

S= $77.50

r = 24%

Then we substitute into the formula

The cost of a coffeemaker is $62.50

Answer:

x is a 33° angle

Step-by-step explanation:

The two angles are supplementary meaning the measure of both angles adds up to 180°. You can tell they are supplementary because the angle is a straight line. so all you need to do is subtact 147 from. 180 to get the measure of x .

Answer:

x+147=180 ( sum of supplementary angle)

or, x = 180-147

or, x = 33

so the value of x is 33°

Answer:

m = ( y-c)/x

Step-by-step explanation:

y = mx+c

Subtract c from each side

y-c = mx+c-c

y-c = mx

Divide each side by x

(y-c)/x = mx/x

(y-x)/x = m

Answer:

m = (y - c)/x

Step-by-step explanation:

Given :

y = mx + c

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

Subtract c from both sides :

⇒ y - c = mx + c - c

⇒ y - c = mx

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

Divide both sides by x :

⇒ mx/x = (y - c)/x

⇒ m = (y - c)/x

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

9000

Step-by-step explanation:

Answer:

the bottom left

Step-by-step explanation:

A linear function will have a constant slope so the bottom left graph is the only one with a constant slope. The y-values are all increasing by 2.

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

\(x=\frac{3\pi }{4} ,\frac{7\pi }{4}\)

If wrong then \(x=-\frac{\pi }{4}.\)

Step-by-step explanation:

\(tan^2(x)-tan(x)=0\)

Factor out the tan(x).

\(tan(x)*(tan(x)-1)=0\)

Solve for x.

\(tan(x)\neq 0\\\) thus only option is tan(x)-1=0

\(tan(x)-1=0\\tan(x)=1\\\)

x=tan^-1(1)⇒

Either it is Quadrant 2 or 4.

\(x=\frac{3\pi }{4} ,\frac{7\pi }{4}\)

If the teacher says its wrong. Then that could only mean that its range of tan(x) is between \(-\frac{\pi }{2} < x < \frac{\pi }{2}\) thus it's only on quadrant 4. \(x=-\frac{\pi }{4}\)

In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong

\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.

\(4\frac{2}{4} = \frac{16+4}{2}\)

=\(\frac{18}{4}\)

Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)

Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.

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A. Ram spent $18 on six pens and six books. The grand total is $72.

B. The cost of each pen is $9.

C. The variable is called x.

What is an equation?

A set of variables, constants, and mathematical operations such as addition, subtraction, multiplication, or division balanced by the equal sign is known as an equation. The equation's left-hand side (LHS) is on the left side, and its right-hand side (RHS) is on the right side (RHS).

Here, we have

Given: the equation 6x + 18 = 72:

A. The issue is that Ram spent $18 on six pens and six books. The total amount he paid is $72.

B. The following equation will be used to demonstrate this:

6x + 18 = 72

Compile similar terms.

6x = 72 - 18

6x = 54

On dividing,

x = 54 / 6.

x = $9

Hence, each pen will set you back $9.

C. The variable's value is x = 9.

Hence, the pen's price is 9.

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Answer:

16

Step-by-step explanation:

first term/(1-ratio)

8/(1-1/2)

8/1/2 = 16

Answer:

Due to the higher margin of error, the 1st analyst will have a wider interval.

Step-by-step explanation:

Width of a confidence interval:

The width of a confidence interval is twice its margin of error, meaning that the sample with the largets margin of error will be wider.

1st analyst:

Margin of error of 0.85, so width of 0.85*2 = 1.7

2nd analyst:

Margin of error of 0.7, so width of 0.7*2 = 1.4

Which analyst will have a wider interval?

Due to the higher margin of error, the 1st analyst will have a wider interval.

Answer:

The answer is "No, There are more than two possible outcomes on each trial of the experiment ".

Step-by-step explanation:

When various ice cream products are known. This might surpass 2 brands or more. Thus the number of different results varies considerably.

BINOMIAL DISTRIBUTION:

An investigation with a set set of individual tests, each only with two possible results.

Four conditions are met by the binomial experiment

Answer:

3047.52

Step-by-step explanation:

If you do the amount of pieces that they need is 112, and it costs 27.21 per piece, then what you have to do is 112*27.21

112 * 27.21 is 3047.52

The statements that are true are:

Clayton could use the relationship (x, y) right-arrow (y, x) to find the points of the image.

Clayton could negate both the x and y values in the points to find the points of the image.

C’ will move because all points move in a reflection.

The image and the pre-image will be congruent triangles.

The image and pre-image will not have the same orientation because reflections flip figures.

Options A, B, D, E, and F.

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

Clayton could use the relationship (x, y) → (y, x) to find the points of the image.

This is the y = x reflection rule.

This is true.

Clayton could negate both the x and y values in the points to find the points of the image.

Reflection of (x, y) along the x-axis and y-axis consecutively will give us

(-x, -y).

This is true.

C’ will remain in the same location as C because it is on the line of reflection.

This is not true.

C’ will move because all points move in a reflection.

This is true.

The image and the pre-image will be congruent triangles.

This is true.

The image and pre-image will not have the same orientation because reflections flip figures.

This is true.

Thus,

All statements are true except the statement:

C’ will remain in the same location as C because it is on the line of reflection.

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Answer:

30

Step-by-step explanation:

x=10

x^2+3x-130=0

x=10 or -13

there is no negative angle so the answer is ten

Answer:

6

Step-by-step explanation:

Changing the question into an equation format :

20/x = 10/3

Multiply x on both sides :

20 = 10x/3

Multiply both sides by 3 :

60 = 10x

Divide both sides by 10 :

6 = x

x = 6

The number must be 6, but let's check:

20/6

Simplify fraction by finding common multiple:

2

20/6 ÷ 2/2 = 10/3

Same as question so ✅

Hope this helped and have a good day

Answer:

6

Step-by-step explanation:

1. 20 / x = 10 / 3

2. Cross multiply 20 time 3 and 10 times x to get 60 = 10x

3. Divide both sides by 10

4. x=6

Answer:

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

Given is a quadratic equation:

A quadratic equation has no real solutions if its discriminant is negative.

The discriminant of ax² + bx + c is:

Apply to given equation:

Find the value of n when D < 0:

Answer:

$110.5

Step-by-step explanation:

48 + 25(2.5)

48 + 62.5

=110.2

Answer:

The answer is 110.5

Step-by-step explanation:

48+25(2.5)=110.5

Answer:

x=70 y=110 z=30 is all of the variables

The graph shows that Rose's savings account balance increases by $20 each month.

The balance of her account after m months is 20m dollars. We want to find an inequality that shows when 20m>160, or when m>8.

Therefore, the inequality that shows when Rose will have more than 160 dollars in her savings account is m>8.

Here is a table of values that shows that Rose will have more than 160 dollars in her savings account after 8 months:

Month | Balance

------- | --------

1 | 20

2 | 40

3 | 60

4 | 80

5 | 100

6 | 120

7 | 140

8 | 160

In conclusion, the graph shows that Rose's savings account balance increases by $20 each month.

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The equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

We have to given that,

A number line is shown in image.

Since,

A number lines are the horizontal straight lines in which the integers are placed in equal intervals.

And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.

Now, By given number line,

Point C is two point left from point 8.

Hence, The point C is denoted as,

⇒ C = 8.2

⇒ C = 82/10

⇒ C = 8 2/10

Therefore, the equivalent decimal and mixed number for given letter C is,

⇒ C = 8.2 ; 8 2/10

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Using Maxwell's equations, we can determine the magnetic flux density. One of the Maxwell's equations is:

\(\displaystyle \nabla \times \mathbf{H} = \mathbf{J} + \frac{\partial \mathbf{D}}{\partial t}\),

where \(\displaystyle \nabla \times \mathbf{H}\) is the curl of the magnetic field intensity \(\displaystyle \mathbf{H}\), \(\displaystyle \mathbf{J}\) is the current density, and \(\displaystyle \frac{\partial \mathbf{D}}{\partial t}\) is the time derivative of the electric displacement \(\displaystyle \mathbf{D}\).

In this problem, there is no current density (\(\displaystyle \mathbf{J} =0\)) and no time-varying electric displacement (\(\displaystyle \frac{\partial \mathbf{D}}{\partial t} =0\)). Therefore, the equation simplifies to:

\(\displaystyle \nabla \times \mathbf{H} =0\).

Taking the curl of the given magnetic field intensity \(\displaystyle \mathbf{R} =2\cos( 10^{10} t-600x)\hat{a}_{z}\, \text{Am}\):

\(\displaystyle \nabla \times \mathbf{R} =\nabla \times ( 2\cos( 10^{10} t-600x)\hat{a}_{z}) \, \text{Am}\).

Using the curl identity and applying the chain rule, we can expand the expression:

\(\displaystyle \nabla \times \mathbf{R} =\left( \frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial y} -\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial z}\right) \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Since the magnetic field intensity \(\displaystyle \mathbf{R}\) is not dependent on \(\displaystyle y\) or \(\displaystyle z\), the partial derivatives with respect to \(\displaystyle y\) and \(\displaystyle z\) are zero. Therefore, the expression further simplifies to:

\(\displaystyle \nabla \times \mathbf{R} =-\frac{\partial ( 2\cos( 10^{10} t-600x)) \hat{a}_{z}}{\partial x} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Differentiating the cosine function with respect to \(\displaystyle x\):

\(\displaystyle \nabla \times \mathbf{R} =-2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z\).

Setting this expression equal to zero according to \(\displaystyle \nabla \times \mathbf{H} =0\):

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x)\hat{a}_{z} \mathrm{d} x\mathrm{d} y\mathrm{d} z =0\).

Since the equation should hold for any arbitrary values of \(\displaystyle \mathrm{d} x\), \(\displaystyle \mathrm{d} y\), and \(\displaystyle \mathrm{d} z\), we can equate the coefficient of each term to zero:

\(\displaystyle -2( 10^{10}) \sin( 10^{10} t-600x) =0\).

Simplifying the equation:

\(\displaystyle \sin( 10^{10} t-600x) =0\).

The sine function is equal to zero at certain values of \(\displaystyle ( 10^{10} t-600x) \):

\(\displaystyle 10^{10} t-600x =n\pi\),

where \(\displaystyle n\) is an integer. Rearranging the equation:

\(\displaystyle x =\frac{ 10^{10} t-n\pi }{600}\).

The equation provides a relationship between \(\displaystyle x\) and \(\displaystyle t\), indicating that the magnetic field intensity is constant along lines of constant \(\displaystyle x\) and \(\displaystyle t\). Therefore, the magnetic field intensity is uniform in the given medium.

Since the magnetic flux density \(\displaystyle B\) is related to the magnetic field intensity \(\displaystyle H\) through the equation \(\displaystyle B =\mu H\), where \(\displaystyle \mu\) is the permeability of the medium, we can conclude that the magnetic flux density is also uniform in the medium.

Thus, the correct expression for the magnetic flux density in the given medium is:

\(\displaystyle B =6\cos( 10^{10} t-600x)\hat{a}_{z}\).