V = 4 + at, solve for A

Answer:

The solution of the system of linear equations is the values of the variables x and y that satisfy both equations simultaneously. To find the solution, one method is to use elimination or substitution.

One possible solution is x = -2, y = 7.

Using lexicographic ordering of 4-sets, the two correct inequalities are {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8}

Lexicographic ordering, also known as a dictionary or alphabetical order, is a method of comparing sequences of elements. In this case, we are comparing 4-sets. When comparing two sets, we start by comparing the first elements of each set. If they are equal, we proceed to compare the second element, and so on until we find a pair of elements that are different. The set with the smaller element at that position is considered smaller in lexicographic order.

1. In the first inequality, {2,1,4,5}<{1,16,67,4}, we can see that the first element of the first set (2) is greater than the first element of the second set (1). Therefore, the second set is smaller in lexicographic order, making the inequality correct.

2. In the second inequality, {1,5,7,8}<{1,6,67,8}, the first elements are equal (1). So, we proceed to compare the second elements. The second element of the first set (5) is smaller than the second element of the second set (6), so the first set is smaller in lexicographic order, making the inequality correct.

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Answer:

B. 16.4

Step-by-step explanation:

Well in 16.4 the digit 6 is the first number meaning it is 6 ones.

Thus,

choice b is correct.

Hope this helps :)

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

Answer:

x<4  (assuming you're supposed to find x)

Step-by-step explanation:

8+x>3x

8>2x

4>x

Answer:

1. 45min

2. 1h 40min

3. 1h 45min

4. 5min

Answer:

Step-by-step explanation:

The figure shown is represented as a right triangle, which means that the sum of the angles within should add up to 90°. So if we take 32° (one of the angles given) and subtract it from 90°, we should be left with 58°.

This means that the value of the equation that contains "x" must equal 58°. Therefore, (6 x 9 + 4)° must equal 58.° Which means that the value of x = 9.

Step-by-step explanation:

\({ \tt{3x - 8 \leq 4}} \\ \\ { \tt{3x \leq4 + 8}} \\ \\ { \tt{3x \leq12}} \\ \\ { \tt{x \leq4}}\)

Answer:

Y=2x-6

Step-by-step explanation:

Linear equation in two variables represents a line.

Answer:

21:15 and 56:40

Step-by-step explanation:

Answer:

21:15

And

56:40

You're welcome :)

Answer: P and U

Step-by-step explanation:

Answer:

In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg.

A = (1/2)Pa

= (1/2)(2)(8/√3)(6)(8)

= (384√3)/3 = 128√3 = 221.7 units^2

Answer:

6,6

Step-by-step explanation:

Answer:

the current scale would be 33 and the new scale is 66

Step-by-step explanation:

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

Fοr Marquita, the best methοd wοuld be -Optiοn B: Cοmpare her percent cοrrect οn each test.

The term "percentage" in mathematics refers tο a value οr ratiο that can be expressed as a fractiοn οf 100. If a percentage οf a number needs tο be calculated, it shοuld first be divided by 100 and then multiplied by 100. A cent per hundred is what is meant by the preceding paragraph.

Marquita shοuld use Ptin (b), which cοmpares her percent cοrrect οn each test, tο cοmpare her perfοrmance οn each test.

This methοd will give her an idea οf hοw well she understοοd the material and hοw accurately she was able tο answer the questiοns οn each test.

Cοmparing her tοtal scοres οr the number οf questiοns she missed may nοt give her an accurate reflectiοn οf her perfοrmance, as sοme tests may have had mοre questiοns οr been wοrth mοre pοints than οthers.

Cοmparing her z-scοres wοuld require her tο have the mean and standard deviatiοn fοr each test, which may nοt be available.

Therefοre, cοmparing percent cοrrect wοuld be the mοst straightfοrward and useful methοd fοr Marquita tο cοmpare her perfοrmance οn each test.

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Answer:

• 7x+6=5(X+6)

Step-by-step explanation:

Let x represent Harry's age now, and Nick's age now is 7x. [t]

In 6 years, Harry is x + 6 , and it is given that Nick's age will be 5(x+6). [t+6]

Combining [t] and [t+6], 7x + 6 = 5(x+6).

So the formula 7x + 6 = 5(x+6) represents the problem.

And x = 12 , so Harry's age in 6 years will be x +6 or 18 years .

hope this helped, happy learning

we have to do alot for this

so first we gotta change 12.3 into a mixed fraction

n = 5 so 5 ÷ 12.3

Answer:

489.5 + m = 756.80 (the amount elias has, added to marks is equal to the total

(756.8- 489.5 = 267.30 which is the amount mark has.)

m= 267.3

the last option is the correct option

Step-by-step explanation:

Answer: the answer is the last equation ($489.50 + m = $756.80; m = $267.30)

Step-by-step explanation:

I say this because all you have to do is subtract 756.80-489.50 to find out how much money Mark has. Thats how you get 267.30. Hope it helps

The expression that is equivalent to  Balin's expression is 5/6 x 1/10.

Division is the mathematical operation that is used to determine the quotient of a number.

In order to determine the distance ran by each member, divide the total distance ran by the total number of people.

5/6 ÷ 10

5/6 x 1/10

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The expression is equivalent to Balin’s expression is StartFraction 5 Over 6 EndFraction divided by 10

Distance each member ran = Combined distance ÷ Number of Balin’s soccer team

= 5/6 ÷ 10

= 5/6 × 1/10

= 5/60

= 1/12 mile

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Step-by-step explanation:

Yeah, 10°+15°+18°=43°

Also, they individually are less than 90° so yes

Answer:

a) The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Step-by-step explanation:

a) From Linear Algebra, we define the translation by the following vector:

\(O'(x, y) = O(x,y) +T(x,y)\) (1)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(O'(x,y)\) - Translated point, dimensionless.

\(T(x,y)\) - Translation vector, dimensionless.

If we know that \(G(x,y) = (-1,6)\), \(H(x,y) =(-1,3)\), \(I(x,y) = (-6,6)\) and \(T(x,y) = (7,-5)\), then the vertices of the triangle G'H'I' are, respectively:

\(G'(x,y) = G(x,y) +T(x,y)\) (2)

\(G'(x,y) = (-1,6) +(7,-5)\)

\(G'(x,y) = (6, 1)\)

\(H'(x,y) = H(x,y) + T(x,y)\) (3)

\(H'(x,y) = (-1,3) + (7,-5)\)

\(H'(x,y) = (6,-2)\)

\(I'(x,y) =I(x,y)+T(x,y)\) (4)

\(I'(x,y) = (-6,6) +(7,-5)\)

\(I'(x,y) = (1, 1)\)

The vertices of the triangle G'H'I' are \(G'(x,y) = (6, 1)\), \(H'(x,y) = (6,-2)\) and \(I'(x,y) = (1, 1)\), respectively.

b) From Linear Algebra, we define the reflection with respect to a horizontal line as follows:

\(O''(x,y) = O(x,y) - 2\cdot [O(x,y)-R(x,y)]\) (5)

Where:

\(O(x,y)\) - Original point, dimensionless.

\(R(x,y)\) - Reflection point, dimensionless.

If we know that \(G(x,y) = (-1, 6)\) and \(R(x,y) = (-1,-3)\), then the location of point G'' is:

\(G''(x,y) =G(x,y) -2\cdot [G(x,y)-R(x,y)]\) (6)

\(G''(x,y) = (-1,6)-2\cdot [(-1,6)-(-1,-3)]\)

\(G''(x,y) = (-1,6) -2\cdot (0,9)\)

\(G''(x,y) = (-1,6)-(2,18)\)

\(G''(x,y) = (-3,-12)\)

If we know that \(H(x,y) =(-1,3)\) and \(R(x,y) = (-1,-3)\) , then the location of the point H'' is:

\(H''(x,y) =H(x,y) -2\cdot [H(x,y)-R(x,y)]\) (7)

\(H''(x,y) = (-1,3)-2\cdot [(-1,3)-(-1,-3)]\)

\(H''(x,y) = (-1, 3) -2\cdot (0,6)\)

\(H''(x,y) = (-1,3)-(0,12)\)

\(H''(x,y) = (-1, -9)\)

If we know that \(I(x,y) = (-6,6)\) and \(R(x,y) = (-6, -3)\), then the location of the point I'' is:

\(I''(x,y) =I(x,y) -2\cdot [I(x,y)-R(x,y)]\) (8)

\(I''(x,y) = (-6,6)-2\cdot [(-6,6)-(-6,-3)]\)

\(I''(x,y) = (-6,6)-2\cdot (0,9)\)

\(I''(x,y) = (-6,6)-(0,18)\)

\(I''(x,y) =(-6,-12)\)

The triangle G''H''I'' have vertices at \(G''(x,y) = (-3,-12)\), \(H''(x,y) = (-1, -9)\) and \(I''(x,y) =(-6,-12)\).

Answer:

\(e^{2n}x + C\) (since n is assumed to be a constant when integrating with respect to x)

Step-by-step explanation:

You are integrating with respect to x, but \(e^{2n}\) has no x-terms. Thus, it is considered a constant. The integral of any constant is equal to the constant multiplied by x.

Example: the integral of 2 is 2x, since the derivative of 2x is 2.

\(\int {e^{2n}} \, dx = e^{2n}x + C\)

If you were integrating \(e^{2x}\) with respect to x, it would look like this:

Since...

\(\frac{d}{dx} (e^{ax}) = ae^{ax}\)

The integral of \(e^{ax}\) is:

\(\int{e^{ax}} \, dx = \frac{e^{ax}}{a} + C\)

\(\int {e^{2x}} \, dx = \frac{e^{2x}}{2} + C\)

Note: C is a constant. It can be any number.

Answer: \(e^{2n}x + C\) (since n is assumed to be a constant)

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

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Answer: The width of the rectangular window is 53 cm.

Step-by-step explanation:

We know that the area of a rectangle is given by the formula:

Area = Length x Width

Substituting the given values, we have:

3816 cm² = 72 cm x Width

To solve for the width, we can divide both sides by 72 cm:

Width = 3816 cm² ÷ 72 cm

Width = 53 cm

Therefore, the width of the rectangular window is 53 cm.

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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We have the points as;

(-4,0) , (-3,-8) , (-2,-12) , (-1,-12) , (0,-8) , (1,0) , (2,12) , (3,28) and (4,48)

Here, we want to get the output y values

We can get this by substituting each of the x-values

when x = -4

2(-4)^2 +6(-4) -8 = 32-24-8 = 0

Notation is (-4,0)

a) when x = -3

2(-3)^2 + 6(-3)-8 = 18 - 18-8 = -8

Notation is = (-3,-8)

b)when x = -2

2(-2)^2 +6(-2)-8 = 8-12-8 = -12

Notation is (-2,-12)

c) when x = -1

2(-1)^2 +6(-1)-8 = 2-6-8 = -12

Notation is (-1,-12)

d) when x = 0

2(0)^2 +6(0)-8 = -8

Notation is (0,-8)

e) when x = 1

2(1)^2 +6(1)-8 = 2+6-8 = 0

Notation is (1,0)

f) when x = 2

2(2)^2+6(2)-8 = 8+12-8 = 12

Notation is (2,12)

g) when x = 3

2(3)^2 + 6(3) - 8 = 18+18-8 = 28

Notation is (3,28)

h) when x = 4

2(4)^2+6(4) -8 = 32+24 -8 = 48

Notation is (4,48)

A discrete random variable provides the value. Whether a continuous random variable is random or not A house's square footage is either discrete, discrete, or not random. f. Continuous, d. Continuous, and e. Discrete.

Whereas the continuous random variable is quantifiable, the discrete random variable may be counted.

a. Since fish can be counted, their number is a discrete random variable.

b. The quantity of textbook authors is a discrete random variable because it is also countable.

c. Adults' political party preferences are not a random variable since these preferences depend on an individual's interests and cannot be determined at random. The numerical outcomes of a random experiment are also random variables, however, political affiliation is a categorical variable that yields non-numerical replies like Democrats, Republicans, etc.

d. A house's square footage may be measured, making it a continuous random variable.

The number of tries for free dash throws may be counted, making it a discrete random variable. Upper T-dash bone steak weight may be measured, making it a continuous random variable.

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The question is -

Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable. a. The number of fish caught during a fishing tournament b. The number of textbook authors now sitting at a computer c. The political party affiliation of adults in the United States d. The square footage of a house e. The number of free dash throw attempts before the first shot is made f. The weight of an Upper T-dash bone steak.