what is the answer to this ??​

Answer:

Step-by-step explanation:

Volume = length x breadth x height

            = 4 x 6 x 10

            =  240 cubic feet  

Answer:

B

Step-by-step explanation:

because it’s not A, C, and D

Answer:

X intercept is 3

Step-by-step explanation:

Hope this helps also I would appreciate brainliest is possible please :)

Step-by-step explanation:

Q3, B

Q4, I'm not too sure about this one but I think its D

If AD = BD = BC and the measure of angle ADB is twice the measure of angle BDC the measure of angle ABC = 90.

The characteristics of an isosceles triangle are as follows: There is agreement between two parties. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides.

The two angles that are opposite the equal sides line up perfectly. An isosceles triangle base angle theorem states that it has two congruent base angles. The angle that is not parallel to the two parallel base angles is referred to as the apex angle.

An isosceles triangle's base is divided into two equal halves by the height from the apex, and the apex angle is divided into two equal angles as well.

Let us suppose the angle DAB = y and angle DBC = z.

Given that, AD = BD = BC and the measure of angle ADB is twice the measure of angle BDC.

Using the statement, we have:

angle DAB = angle DBA = y.

angle BDC = angle BCD = x.

Also, the sum of the straight line is 180 degree.

2x + x = 180

3x = 180

x = 60

2x = 2(60) = 120

In triangle ABD we have:

y + y + 2x = 180

2y + 120 = 180

2y = 60

y = 30

In triangle BDC we have:

x + x + z = 180

60 + 60 + z = 180

z = 180 - 120

z = 60

The value of angle ABC is:

Angle ABC = y + z

Angle ABC = 30 + 60

angle ABC = 90

Hence, if AD = BD = BC and the measure of angle ADB is twice the measure of angle BDC the measure of angle ABC = 90.

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Answer:

red marble:

3/12

0.25

25%

green or blue:

7/12

0.583

58.3%

marble that is not orange:

10/12

0.833

83.3%

Answer: The location is (8.88, -1.84)

Step-by-step explanation:

We know that the school is on the line:

x + 7*y  = -4

or we can rewrite this as:

x = -4 - 7*y

Then, the points on this line can be written as:

(-4 - 7*y, y).

Then we can assume that the school is located at the point:

(-4 - 7*a, a)

and we need to find the value of a.

Now, we have two towns in the points:

A = (2, - 2)

B = (8, 5)

The distance between two points (a, b) and (c, d) is:

D = √( (a- c)^2 + (b - d)^2)

And we want that the school to be equidistant between the two cities, then if the distance to the citie A is:

Da = √( (2 + 4 + 7*a)^2 + (-2 - a)^2)

And the distance to the city B is:

Db = √( (8 + 4 + 7*a)^2 + (5 - a)^2)

Then we must have that:

Da = Db

√( (2 + 4 + 7*a)^2 + (-2 - a)^2) = √( (8 + 4 + 7*a)^2 + (5 - a)^2)

then:

(2 + 4 + 7*a)^2 + (-2 - a)^2 =  (8 + 4 + 7*a)^2 + (5 - a)^2

Let's solve this for a.

(6 + 7*a)^2 + (-2 - a)^2 =  (12 + 7*a)^2 + (5 - a)^2

36 + 84*a + 49*a^2 + 4 + 4*a + a^2 = 144 + 168*a + 49*a^2 + 25 - 10*a + a^2

let's simplify this:

36 + 84*a + 4 + 4*a = 144 + 168*a + 25 - 10*a

-129 = 70*a

-129/70 = a = -1.84

Then the location of the school is:

y = -1.84

x = -4 - 7*-1.84 = 8.88  

(8.88, -1.84)

Asymptotes are lines that a curve approaches but does not intersect. A curve may have vertical, horizontal, or slant asymptotes or none at all. Asymptotes are critical features of the curve since they are used to help graph the function.

We will use the following steps to find asymptotes of the function h(x) = 4 + (5/x):

Vertical Asymptotes:Vertical asymptotes occur when the denominator is equal to zero. So for the function

h(x) = 4 + (5/x), the denominator x cannot be equal to 0.

Therefore x = 0 is the equation of the vertical asymptote.Horizontal Asymptotes:

Horizontal asymptotes occur when the value of y approaches a constant as x becomes extremely large.

For the function h(x) = 4 + (5/x), we need to take the limit as x approaches infinity and as x approaches negative infinity respectively.

(i) As x approaches infinity,y = 4 + 0= 4(ii) As x approaches negative infinity,y = 4 + 0= 4.

Therefore, the equation of the horizontal asymptote is y = 4.

Finally, the vertical asymptote equation is x = 0, and the horizontal asymptote equation is y = 4 for the function h(x) = 4 + (5/x).

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The ball passes through the hoop approximately 5 seconds after it is thrown. This can be determined by solving the quadratic equation derived from the given function.

To find the time at which the ball passes through the hoop, we need to determine when the height, represented by the function h(t), is equal to zero. In this case, the equation -16t^2 + 4t + 240 = 0 represents the height of the ball above the hoop.

To solve the quadratic equation, we can use the quadratic formula, t = (-b ± √(b^2 - 4ac)) / 2a, where a, b, and c are the coefficients of the equation. In this case, a = -16, b = 4, and c = 240.

Plugging in the values into the quadratic formula, we have t = (-4 ± √(4^2 - 4(-16)(240))) / (2(-16)). Simplifying further, we get t = (-4 ± √(16 + 15360)) / (-32).

Taking the positive square root since time cannot be negative, we have t = (-4 + √15376) / -32. Evaluating this expression gives us t ≈ 5. Therefore, the ball passes through the hoop approximately 5 seconds after it is thrown.

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To solve this expression, you can first simplify the fractions:

5/11 * -11/6 = (-5/6) * (-6/5)

Then, you can multiply the fractions:

(-5/6) * (-6/5) = (-30/30) = -1

So, the result of the expression is -1.

The answer is c: x+1/x, which is not a polynomial because it contains a fraction (1/x).

This is not a polynomial because it contains a fraction (1/x). A polynomial is an expression consisting of variables, constants, and exponents. It can be of any degree, but it must not contain any fractions. The other three options (a, b, and d) are all polynomials because they only contain variables, constants, and exponents.

For example, option a: √3x^2-2√3x+3, can be written as 3x2-2x+3, which is the standard form of a polynomial. Similarly, option b: 3x3/2-5x2-1/√2x-1, can be written as 3x2-5x+1, and option d: 5x2-3x+√2, can be written as 5x2-3x+2, which are both in the standard form of a polynomial.

Therefore, the answer is c: x+1/x, which is not a polynomial because it contains a fraction (1/x).

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Total stockholders’ equity 7,800,000

Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000

Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000

Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000

Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000

To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.

The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.

Calculations:Opening balance of common stock = $100,000

Opening balance of additional paid-in capital = $4,100,000

Opening balance of retained earnings = $3,000,000

Net Income for the year ended December 31, 2012 = $800,000

Retained earnings (Opening Balance) = $3,000,000

Add: Net Income for the year ended December 31, 2012 = $800,000

Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000

Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000

Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000

Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000

Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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The length of the base of the parallelogram is 16 inches.

What is parallelogram?

A parallelogram is a four-sided plane figure with opposite sides parallel and congruent (having the same length). This means that the opposite sides of a parallelogram are parallel to each other and have the same length. Additionally, the opposite angles of a parallelogram are equal in measure, which means they have the same degree of rotation.

Let's use the information given in the problem to set up an equation and solve for the length of the base.

From the problem, we know that the height of the parallelogram is 5 inches.

h = 5

We also know that the base of the parallelogram is six more than twice the height. Let's use b to represent the length of the base:

b = 2h + 6

Now we can substitute the value we know for the height and solve for the base:

b = 2(5) + 6

b = 10 + 6

b = 16

Therefore, the length of the base of the parallelogram is 16 inches.

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Answer:

The red one

Step-by-step explanation:

Answer:

420 seconds

Step-by-step explanation:

There are 60 seconds in a minute, since there are 7 minutes, all we need to do is multiply the minutes by seconds.

60 × 7 = 420

Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

a) The unit prices to determine the best buy are as follows:

b) The best buy is the 14-ounce bottle of salad dressing with a unit cost of $0.24 since they are all Grade A products.

The unit price or cost is the cost for an item or a unit.

The unit price can be compared to the unit rate, which is the quotient of the total cost and the number of units.

                              6 ounces   14 ounces   20 ounces

Total costs               $1.56           $3.36          $5.60

Unit cost                  $0.26          $0.24          $0.28

                            ($1.56/6)      ($3.36/14)     ($5.60/20)

Thus, buying a 14-ounce bottle of salad dressing is more economical than others.

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A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Answer:

11

Step-by-step explanation:

Answer: 11

Step-by-step explanation: Hope this helps:)

Yes, if two angles are vertical angles, then they are congruent (have equal measures).

Vertical angles are two non-adjacent angles formed by the intersection of two lines. They are always congruent, meaning they have the same measure. This can be proven mathematically using the Vertical Angles Theorem which states that vertical angles are congruent.

If two angles are vertical angles, they are formed by intersecting lines and share a common vertex but do not share a common side. The angles are always equal in measure and are congruent. This is known as the Vertical Angles Theorem, and it can be proven mathematically. When working with geometry, understanding the properties of different angles is important to correctly solve problems and equations. By knowing that vertical angles are always congruent, we can simplify calculations and make geometric proofs easier.

In conclusion, vertical angles are always congruent, which is a fundamental concept in geometry. The Vertical Angles Theorem proves that two angles formed by intersecting lines are always equal in measure and are congruent. This knowledge is essential for solving geometry problems and is a useful tool for math students.

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To calculate the volume, we used the double integral of the function √(64−x^2−y^2) over the circular disk x^2+y^2 ≤ 64. By converting the limits of integration to polar coordinates and evaluating the integral, we determined that the volume is approximately 2,135.79 cubic units.

The volume of the solid under z=√(64−x^2−y^2) and over the circular disk x^2+y^2 ≤ 64 is 2,135.79 cubic units.

To calculate the volume, we can integrate the given function over the circular disk. Since the function is in the form of z=f(x,y), where z represents the height and x, y represent the coordinates within the circular disk, we can use a double integral to find the volume.

The double integral represents the summation of infinitely many small volumes under the surface. In this case, we need to integrate the square root of (64−x^2−y^2) over the circular disk.

By using the polar coordinate system, we can rewrite the limits of integration. The circular disk x^2+y^2 ≤ 64 can be represented in polar coordinates as r ≤ 8 (where r is the radial distance from the origin).

Using the double integral, the volume V is calculated as:

V = ∬(D) √(64−x^2−y^2) d A,

where D represents the circular disk in polar coordinates, and d A is the element of area.

By evaluating this integral, we find that the volume of the solid under the given surface and over the circular disk is approximately 2,135.79 cubic units.

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Answer

15x^4+2x^3+8x^2-15

Answer:

15^4+2^3−8^2−22−15

Step-by-step explanation:

(3^2−2−3)(5^2+4+5)

Distribute:

3(5^2+4+5) ⋅ ^2−2(5^2+4+5) − 3(5^2+4+5)

15^4+12^3+15^2 − 2(52+4+5) − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 3(52+4+5)

15^4+12^3+15^2 − 10^3−8^2−10 − 15^2−12−15

Combine like terms:

15^4+12^3−10^3+15^2−8^2−15^2−10−12−15

15^4+2^3+15^2−8^2−15^2−10−12−15

15^4+2^3−8^2−10−12−15

15^4+2^3−8^2−22−15

15^4+2^3−8^2−22−15

hope it helps :)

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Given that f(x)² is the starting function, the following transformations have been applied to get g(x) = 2 - 2(1/2x + 3)²:

• Horizontal Translation• Reflection about the x-axis• Vertical Translation• Vertical Stretch or Compression

Horizontal Translation: The graph of the function has been moved three units leftward to get a new graph.

There has been a horizontal translation of 3 units in the negative direction.

This has changed the location of the vertex.

The sign of the horizontal translation is always the opposite of what is written, in this case, -3.

Reflection about x-axis: The reflection of a function about the x-axis causes the function to be inverted upside down.

Therefore, the sign of the entire function changes.

Since this is a square term, it is not affected.

Therefore, it is just 2 multiplied by the square term.

Therefore, the function becomes -2(f(x))².

Vertical Translation: The graph of the function has been moved two units downward to get a new graph.

There has been a vertical translation of 2 units in the negative direction.

This has changed the location of the vertex.

Vertical Stretch or Compression: Since the coefficient -2 in front of the function term is negative, this reflects about the x-axis and compresses the parabola along the y-axis, with the vertex as the fixed point.

The graph of f(x)² is transformed into g(x) by changing the sign, horizontally shifting it by 3 units, vertically translating it down 2 units, and reflecting it about the x-axis.

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Answer:

Step-by-step explanation:

-3x+10=21

-3x=21-10

-3x=11

x=11/-3

x=- 11/3

Answer: C

Step-by-step explanation:

g(7) = 7/8 (7)  - 1/2

g(7) = 6.125  - 1/2

g(7) = 5.625   OR in fraction form, 45/8

The answer is C

Answer:

It will take 4 minutes for 20 gals, 15 for the whole thing.

Step-by-step explanation:

Answer:

4 minutes to lose 20 gallons, and 15 minutes to empty the tank.

Step-by-step explanation:

20 divided by 5, and 75 divided by 5

The value of {x} for which the equation → 26 = -1 + (27x)³/4 holds true is {x} = 0.18.

A function is a relation between a dependent and independent variable. Mathematically, we can write -

y = f(x) = ax + b

Given is the function as -

26 = -1 + (27x) ³/4

We have the equation as -

26 = -1 + (27x)³/4

(27x)³/4 = 26 + 1

(27x)³/4 = 27

(27x)³ = 27 x 4

(27x)³ = 108

(27)³x³ = 108

x³ = 108/(27)³

x³ = 108/19683

x = 0.0055

x = 0.18 {approx.}

Therefore, the value of {x} for which the equation → 26 = -1 + (27x)³/4 holds true is {x} = 0.18.

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The series  ∑[n=1 to ∞] 2 (-1)ⁿ / ln(n) is convergent.

To apply the Alternating Series Test to the series ∑[n=1 to ∞] 2 (-1)ⁿ / ln(n), we need to check two conditions:

The terms bn = 1 / ln(n) are positive and decreasing for n > 3.

The limit of bn as n approaches infinity is 0.

The terms bn = 1 / ln(n) are positive because ln(n) is always positive for n > 1. Additionally, for n > 3, ln(n) is a strictly increasing function, so 1 / ln(n) is decreasing.

Taking the limit as n approaches infinity:

lim (n → ∞) 1 / ln(n) = 0.

Since both conditions of the Alternating Series Test are satisfied, the series ∑[n=1 to ∞] 2 (-1)ⁿ / ln(n) is convergent.

Therefore, the series is convergent according to the Alternating Series Test.

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The equation of line p is y = (3/4)x + 13/2.

The equation of line q is y = (3/5)x + 23/5.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Line p passes through points (-2, 5) and (3, 8).
This means,

Slope = (8 - 5) / (3 + 2) = 3/4

m = 3/4

And,

Consider (-2, 5) = (x, y)

5 = (3/4) x -2 + c

5 = -3/2 + c

c = 5 + 3/2

c = 13/2

So,

y = (3/4)x + 13/2

Line q passes through the points (-1, 4) and (4, 7).

Slope = (7 - 4) / (4 + 1) = 3/5

m = 3/5

And,

Consider (-1, 4) = (x, y)

4 = (3/5) x (-1) + c

4 = -3/5 + c

c = 4 + 3/5

c = 23/5

So,

y = (3/5)x + 23/5

Thus,

The equation of line p is y = (3/4)x + 13/2.

The equation of line q is y = (3/5)x + 23/5.

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The complete question:

Find the equation of the Line p passes that passes through points (-2, 5) and (3, 8) and Line q that passes through points (-1, 4) and (4, 7).