An equation is given.
y=3x+c
Create an equivalent equation by solving for c in terms of y and x.

Answer:

hi

Step-by-step explanation:

a 21.8 g sample of osmium would occupy a volume of approximately 0.9646 cm³.

To calculate the volume occupied by a sample of osmium, we can use the formula:

Volume = Mass / Density

Given:

Mass = 21.8 g

Density = 22.6 g/cm³

Substituting these values into the formula:

Volume = 21.8 g / 22.6 g/cm³

Simplifying:

Volume = 0.9646 cm³

what is volume?

Volume is a measure of the amount of space occupied by a three-dimensional object or substance. It quantifies the extent or capacity of an object or substance in terms of how much space it occupies.

In mathematical terms, volume is typically measured in cubic units (such as cubic meters, cubic centimeters, or cubic inches). It is calculated by multiplying together the three dimensions of the object (length, width, and height) or by using specific formulas depending on the shape of the object.

For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a cylinder can be calculated using the formula πr²h, where r is the radius of the base and h is the height.

Volume is an essential measurement in various fields such as physics, engineering, chemistry, and everyday life. It helps determine capacities, quantities, displacements, and the amount of space occupied by objects or substances.

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Answer:

    When you're given a line, you can find the rise over the run also known as the slope using a graph, calculating it using the formula, or using a table with two points you've been given from the line. Once you find the slope find the y-intercept which is the point at which the line intercepts with the y-axis of the cartesian plane. I also added some attachments of my own work and an explanation of slope.

Hope I helped have a nice day :)

Answer:

1) 3.25 gallons

2)12-1.75tt

Step-by-step explanation:

1) gallons per hour x number of hours

1.75x5 = 8.75 gallons

subtract your answer from what he currently has

12 - 8.75 = 3.25 gallons

The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.

Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.

In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

So, the roots of 0 = 2x² + 12x-14 are:

2x² + 12x-14  = 0

2x² + 14x - 2x -14

2x(x + 7) - 2(x + 7)

(2x - 2) (x + 7)

Now, use the zero product property as follows:

2x - 2 = 0

2x = 2

x = 2/2

x = 1

And

x + 7 = 0

x = -7

Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.

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Correct question:

What are the roots of the quadratic equation 0 = 2x² + 12x-14?

a. 1,6, -7

b. 2,12,-14

c. -7,1

d. -1,7

The test that he can conduct to determine if there is a significant difference in the enrollment between the semesters is the paired samples t-test. A paired samples t-test is a hypothesis test that determines whether there is a statistically significant difference between the means of two related groups (i.e., two groups of data that are related in some way).

A paired t-test is used when we have two samples in which each observation in one sample is related to one observation in the other sample. Paired t-test formula: t = (μd-μ0) / (sd / √n)Where:μd = the mean difference between the two related groupsμ0 = the null hypothesis mean differenced = the standard deviation of the difference sn = the number of pairs of observations Results:

Spring enrollment Fall  enrollmen tn=6n=6Mean = 32.0Mean = 37.7Sd = 8.08Sd = 8.24Paired t-test: t = -2.15 df = 5 p-value = 0.076

The p-value for this test is 0.076. This value is greater than the level of significance, 0.05, which means that we do not reject the null hypothesis that there is no significant difference between spring and fall enrollment in his department. Therefore, we can conclude that there is no statistically significant difference in the enrollment between the semesters.

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The other two angle measures of a right triangle with side lengths 5, 12, and 13 can be found using trigonometric ratios. Let's label the sides of the triangle as follows:

- The side opposite the angle we are looking for is 5.
- The side adjacent to the angle we are looking for is 12.
- The hypotenuse is 13.

To find the first angle, we will use the inverse tangent function (tan^(-1)). The formula is:
Angle = tan^(-1)(opposite/adjacent)

Plugging in the values, we get:
Angle = tan^(-1)(5/12)

Using a calculator, we find this angle to be approximately 22.6 degrees (rounded to the nearest degree).

To find the second angle, we will use the fact that the sum of the angles in a triangle is 180 degrees. Therefore, the second angle can be found by subtracting the right angle (90 degrees) and the first angle from 180 degrees.
Second angle = 180 - 90 - 22.6

Calculating this, we find the second angle to be approximately 67.4 degrees (rounded to the nearest degree).

Therefore, the other two angle measures of the right triangle are approximately 23 degrees and 67 degrees.

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Answer:

the answer is d using the distance formula

The system of equations is consistent and has a unique solution at (-4, 1).

To solve the system of equations by graphing, we can plot the lines represented by each equation on a coordinate plane and find their point of intersection.

The given system of equations is:

1) 3x + y = -3

2) 6x - 6y = -30

Let's graph these equations:

For equation 1, 3x + y = -3, we can rewrite it as y = -3x - 3.

For equation 2, 6x - 6y = -30, we can simplify it to x - y = -5, and then y = x + 5.

Now, let's plot these lines on a graph:

The line for equation 1, y = -3x - 3, has a slope of -3 and y-intercept of -3. It will have a negative slope, and we can plot two points on the line: (0, -3) and (-1, 0).

The line for equation 2, y = x + 5, has a slope of 1 and y-intercept of 5. We can plot two points on this line as well: (0, 5) and (-5, 0).

Plotting these lines on a graph, we can see that they intersect at the point (-4, 1).

Now, let's analyze the system:

Since the lines intersect at a single point, the system is consistent. The solution to the system is the coordinates of the point of intersection, which is (-4, 1).

In summary, the system of equations is consistent and has a unique solution of x = -4 and y = 1.

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The correct alternative, based on the parallel, triangle sum, and isosceles triangle criteria, is 2.

Alternative 1

Since the base angle of an isosceles triangle is 52 degrees, let's say the third angle is x, and according to the triangle sum property,

x + 2 * 52 = 180,

x = 76.

triangle at the base

32 + 2x = 180 (triangle sum property for isosceles triangle)

x = 74

In accordance with the triangle sum property for isosceles triangles, the figure demonstrates that the base angle of the triangle at its base is also equal to 76.

False choice: Angles 74 and 76 are not equal.

Alternative 2:

x + 2 * 76 = 180 (triangle sum property for isosceles triangle)

x = 28

The diagram demonstrates that the triangle at the base angle has angle = 28.

124 + 2x = 180 (triangle sum property for isosceles triangle)

x = 28

Since the two angles 28 and 28 are equivalent, the choice is correct.

Alternative 3

wood you believe it, I past plain geometry -  wrong

would you believe it, I passed plain geometry - correct

Alternative 4

The parallelogram's isosceles triangle, with a base angle of 27,

Using the alternate internal angle theorem, 29's base angle is displayed.

at same point as 27 and both angles are not being equal.

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Simplify the inequality for v.

So answer is,

The correct option is D. Translated 3 units left and 1 unit up; vertically stretched.

To determine the correct transformation from the graph of the standard absolute value function f(x) to the graph of g(x) = 12 |x + 3| - 1, let's analyze the given options.

A. Translated 3 units right and 1 unit down; vertically stretched:

This transformation involves shifting the graph of f(x) to the right by 3 units and down by 1 unit. However, it does not mention any vertical stretching or compression.

Therefore, option A does not match the transformation required for g(x).

B. Translated 3 units left and 1 unit down; vertically compressed:

This transformation involves shifting the graph of f(x) to the left by 3 units and down by 1 unit.

Again, it does not mention any vertical stretching or compression.

Therefore, option B does not match the transformation required for g(x).

C. Translated 3 units right and 1 unit up; vertically compressed:

This transformation involves shifting the graph of f(x) to the right by 3 units and up by 1 unit. It also states that the graph is vertically compressed.

This option includes both the horizontal shift and the vertical compression, but it does not match the vertical stretch present in g(x).

Therefore, option C does not match the transformation required for g(x).

D. Translated 3 units left and 1 unit up; vertically stretched:

This transformation involves shifting the graph of f(x) to the left by 3 units and up by 1 unit. It also states that the graph is vertically stretched. This option includes both the horizontal shift and the vertical stretch, matching the transformations in g(x).

Therefore, option D matches the transformation required for g(x) = 12 |x + 3| - 1.

Thus, the correct option is D. Translated 3 units left and 1 unit up; vertically stretched.

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Answer:

quadratic

Step-by-step explanation:

because it has degree 2

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

Answer: 81 π.

Step-by-step explanation: To find the area of a circle, you need to multiply the circle's radius squared by pi.  However, this problem is in terms of pi, so we're just going to find the radius squared.  We're given the diameter, but we can simply cut it in half since the radius is half the diameter.  The diameter for this circle is 18, so divide 18 by 2, and 9 is your radius.  9^2 is 81, so 81 π is your answer in terms of pi because when you find the radius squared, you put pi next to it.

Have a great day! :)

Answer: the area is 81π

Step-by-step explanation:

The formula is A=πr

^{2}

The raidius would be 9 (18/2)

A=π9^{2} 

π x 9^{2} = 81π

Decimal form: 254.469004941

Answer:

\(-5\leq x\leq 3\)

Step-by-step explanation:

The reason is that if you count each line on the graph you see that it starts at -5 and ends at 3.

(Hint: each line on the graph is incrementing by 1)

Hope this helps! :)

Please mark as brainiest if this worked or ask me a question if you do not understand :)

9514 1404 393

Answer:

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.

Answer:

x=-4.5

Step-by-step explanation:

y= -6

y= 4x+12

-6 = 4x+12

-6 = 4x+12

-12 -12

_________

-18 = 4x

----- ------

4 4

-4.5 = x

The lengths of the sides of the triangle are 5, 12, and 13.

So the correct option is the last one.

Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these two points is given by the formula:

d = √( (x₁ - x₂)² + (y₁ - y₂)²)

Here we know that the vertices of our triangle are the points:

(0, 0), (5, 0), (5, 12)

And we want to find the lengths of the sides.

We can get the length of the first side using the points  (0, 0), (5, 0)

d₁ = √( (0 - 5)² + (0 - 0)²) = 5

The length of the second side is: (5, 0), (5, 12).

d₂ = √( (5 - 5)² + (0 - 12)²) = 12

The length of the third is side is given by the points (5, 12) and (0, 0)

d₃ = √( (5 - 0)² + (12 - 12)²)

d₃ = √(25 + 144) = 13

Then the correct option is the last one:

5, 12, 13.

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Answer:

f(-5) = 7

Step-by-step explanation:

f(-5) means find the y value when x = -5

y = 7 when x = -5

Answer:

0.60205991

Step-by-step explanation:

type in log 4 in calculator

The vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

To find a vector parallel to the line of intersection of the planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7, we first need to find the direction vector of the line of intersection.

We can find the direction vector by taking the cross product of the normal vectors of the two planes. The normal vector of the plane 2x - 3y + 5z = 2 is <2, -3, 5>, and the normal vector of the plane 4x + y - 3z = 7 is <4, 1, -3>. Taking the cross product of these two vectors, we get:

<2, -3, 5> × <4, 1, -3> = <-16, 22, 11>

This vector <-16, 22, 11> is the direction vector of the line of intersection of the two planes.

To find a vector parallel to this line, we can simply multiply the direction vector by a scalar. For example, we can choose a scalar of 2 to get:

2<-16, 22, 11> = <-32, 44, 22>

Therefore, the vector <-32, 44, 22> is parallel to the line of intersection of the two planes given by the equations 2x - 3y + 5z = 2 and 4x + y - 3z = 7.

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the return on equity (after tax) ratio for 2017 is 3.47% and for 2018 is 5.61%.To calculate the return on equity (ROE) ratio, we need to determine the net income and average stockholders' equity for both 2017 and 2018.

Net Income:
2017: $1,338
2018: $2,160

Average Stockholders' Equity:
2017: ($31,500 + $45,500) / 2 = $38,500
2018: ($31,500 + $45,500) / 2 = $38,500

ROE Ratio:
2017: $1,338 / $38,500 = 0.0347 or 3.47%
2018: $2,160 / $38,500 = 0.0561 or 5.61%

Therefore, the return on equity (after tax) ratio for 2017 is 3.47% and for 2018 is 5.61%.

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3 sec x - 2 = 1

Add 2 to both sides

3 sec x = 1+ 2

3 sec x = 3

divide both sides by 3

sec x = 3/3

sec x = 1

Answer:5.6 x 10^5

Step-by-step explanation:

When ever we hear sum, what comes to our mind must be addition

Here we are Adding 5.3 x 10 to the fifth power= 5.3 x 10^5 to

3.8 x 10 to the fourth power = 3.8 x 10^4

First,

Expanding the scientific notation we have that

5.3 x 10^5 = 530,000

3.8 x 10^4=     38,000

Add           = 568,000

Putting back in Scientific notation  we have 568000 = 5.6 x 10^5

Answer:

5.68 x 10 to the 5th power

Step-by-step explanation:

Answer: 0.333333333->

Step-by-step explanation:

It goes on forever

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

y = 5x + 3

Step-by-step explanation:

If the slope is 5 and the y-intercept is 3, we can substitute the value of the variables into the formula.

y = mx + b

y = (5)x + 3

y = 5x + 3

I hope this helps!