Use the domain{1/2,1,2,4,8} To plot the points on the graph for the given equation.

The initial velocity is  0 m/sec

The car speed up to 72km/h which is equivalent to  36m/sec

The acceleration of the car is 2.88 m/sec².

Acceleration is the rate of change of the velocity of an object with respect to time. Vector quantities are accelerations. Acceleration = (Final Velocity - Initial Velocity)/ Time taken

Given that car can accelerate from rest to 72km/h in 12.5 seconds. Therefore, we can write:

Initial Velocity = 0 m/sec

Final Velocity = 72 km/hr = 72×(0.50) m/sec = 36m/sec

Time taken = 12.5 second

Now, the car’s acceleration in m/s can be written as,

Acceleration = (Final Velocity - Initial Velocity)/ Time taken

(36 m/sec - 0 m/sec)/12.5 seconds

= 2.88 m/sec²

Hence, the car’s acceleration in m/s is 2.88 m/sec².

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Step-by-step explanation:

They started with $40 and at the end of 1 year had $0.80 of dividend and the stock was worth $44.

That is an increase of $4.80/$40 starting.

that is 12% increase.

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

8150=5000(1+.07)^n

divide by 5000

1.63=(1.07)^n

ln both sides

0.48858=n ln (1.07)

divide ln (1.63) by ln (1.07) and round then.

7.22 years.

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

FV=(1+r)*P(1+r)^n-1/r

=(1+(.06))*1100(1+.06))^15-1/0.06

=1.06*1.3965, round only at end.

=$27139.78

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

FV=500(1+r/n))^4n-1/(r/n)

=500(1+.14/4)^12-1/(0.14/4)

=500(1.035)^12-1/0.035

=$7300.98

Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

Expressions for the square footage of the tile Dining area, Considering only the tile floor, and not the cabinets shown in black will be (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11)

The area of a rectangle is a measure of the amount of space it occupies in two-dimensional (2D) space. It is calculated by multiplying the length of the rectangle by its width. Mathmatically,

                                     \(Area=length*width\)

Now, Solving given problem,

The total area of the grid will be:Length of grid = 16 ft, Width of grid = 13 ft

Total area of grid = Length x Width = 16 ft x 13 ft = 208 sq ft

The area of the rectangle in the top right :Length of rectangle = 12 ft, Width of rectangle = 2 ft

Area of rectangle = Length x Width = 12 ft x 2 ft = 24 sq ft

To remove the top right rectangle from the tile dining area, subtract its area from the total area of the grid:

(Total area of grid) - (Area of rectangle in top right) = (208 sq ft -24 sq ft )= 184 sq ft

So, the expression for this calculation will be: (16 x 13) - (12 x 2) = 184 sq ft

The area of the vertical rectangles on the far left and right sides is calculated as follows:Width of vertical rectangles = 4 ft, Length of grid = 13 ft

Area of vertical rectangles = Width of vertical rectangles x Length of grid = 4 ft x 13 ft = 52 sq ft

The area of the rectangle in the top right:Length of rectangle = 12 ft, Width of rectangle = 11 ft

Area of rectangle = Length x Width = 12 ft x 11 ft = 132 sq ft

Add the areas of the vertical rectangles and the rectangle in the top right to get the total area of the tile dining area:

Area of vertical rectangles + Area of rectangle in top right = 52 sq ft + 132 sq ft = 184 sq ft

So, the expression for this calculation is: (4 x 13) + (12 x 11) = 184 sq ft

Hence, both of these expressions- (16 x 13) - (12 x 2) and (4 x 13) + (12 x 11) gives the square footage of the tile dining area based on the given information.

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Step-by-step explanation:

3(2/3y) =3(-6)

2y=-18

2/2y= -18/2

y=-9

Answer:

y(x) = (7/25)x^2 + 4

Step-by-step explanation:

Given:

x = 5*sqrt(t) .............(1)

y = 7*t+4 ..................(2)

solution:

square (1) on both sides

x^2 = 25t

solve for t

t = x^2 / 25  .........(3)

substitute (3) in (2)

y = 7*(x^2/25) +4

y= (7/25)x^2 + 4

By using simultaneous linear equation, it can be calculated that 200 adult tickets and 400 student tickets were sold and the ticket sale falls $1320 below the goal of $3300.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation. Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

The simultaneous linear equation needs to be solved

Let d represents the number of adult tickets and s represents the number of student tickets

Their auditorium holds 600 people

d + s = 600 ..... (1)

Price of adult ticket = $7.50

Price of student ticket = $4.50

Total price = $(7.50d + 4.50s)

Therefore,

7.50d + 4.50s = 3300

5d + 3s = 2200 ..... (2)

Multiplying (1) by 3

3d + 3s = 1800.... (3)

Subtracting (3) from (2)

2d = 400

d = 200

Putting the value of d in (1)

200 + s = 600

s = 600 - 200

s = 400

Now, Total tickets sold = d + 2d = 3d

d = 120

s = 240

Number of student ticket sold = 240

Number of adult ticket sold = 120

Total cost = 240  4.50 + 120  7.50

= $1980

Fall in ticket sale = $(3300 - 1980) = $1320

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Answer:

Slope: Undefined

Step-by-step explanation:

Since  x=1

is a vertical line, there is no y-intercept and the slope is undefined.  

y-intercept: No y-intercept

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

Step-by-step explanation:

Associative property is a(bc)=(ab)c

14(1/7 * 2/5) = (14* 1/7) 2/5 = 2* 2/5 = 4/5

Answer: (14 x 1/7) 2/5

Step-by-step explanation: yes.

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Slope is given by

\( \frac{y2 - y1}{x2 - x1} \)

where y2 = -1, y1 = -7, x2 = -1, x2 = -3

\( \frac{ - 1 - ( - 7)}{ - 1 - ( - 3)} = \frac{ - 1 + 7}{ - 1 + 3} \)

\( = \frac{6}{2} = 3\)

\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

Mr. Dieter will need to purchase 528 square tiles that measure 9 inches by 9 inches each to tile the family room in his basement.

As we can see in the image provided, the shape of the floor is a rectangle with dimensions 16 feet by 18 feet. To title the family room using square tiles that measure 9 inches by 9 inches each, we need to convert the dimensions from feet to inches. 1 foot is equal to 12 inches, so we have:

16 feet x 12 inches/foot = 192 inches

18 feet x 12 inches/foot = 216 inches

Now we can divide the length and width of the floor by the length and width of each tile to find out how many tiles are needed. Since each tile measures 9 inches by 9 inches, we have:

192 inches ÷ 9 inches = 21.33 tiles ≈ 22 tiles needed for the length

216 inches ÷ 9 inches = 24 tiles needed for the width

Therefore, we need 22 tiles for the length and 24 tiles for the width, which gives us a total of:

22 tiles x 24 tiles = 528 tiles

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The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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Hello!

4 is 4% of 100

Step-by-step explanation:

4% is .o4 in decimal

.04 x = 4     where 'x' is the number

x = 4/.04 = 100

Answer:

f(-7)= 21

Step-by-step explanation:

-(-7)^2-10(-7)

-7^2-10×-7

-49-10×-7

-49-(-70)

-49+70

21

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

We have,

For Matthew's investment, the continuous compounding formula can be used:

\(A = P \times e^{rt}\)

Where:

A = Final amount

P = Principal amount (initial investment)

e = Euler's number (approximately 2.71828)

r = Annual interest rate (in decimal form)

t = Time (in years)

In this case,

Matthew's money has tripled,

So A = 3P.

For Parker's investment, the formula for compound interest compounded annually is used:

\(A = P \times (1 + r)^t\)

Where:

A = Final amount

P = Principal amount (initial investment)

r = Annual interest rate (in decimal form)

t = Time (in years)

We need to find t when Matthew's money has tripled in value.

Let's set up the equation:

\(3P = P \times e^{rt}\)

Dividing both sides by P, we get:

\(3 = e^{rt}\)

Taking the natural logarithm of both sides:

ln(3) = rt

Now we can solve for t

t = ln(3) / r

For Matthew's investment,

r = 3 1/8% = 3.125% = 0.03125 (as a decimal).

For Parker's investment,

r = 2 3/4% = 2.75% = 0.0275 (as a decimal).

Now we can calculate t for Matthew's investment:

t = ln(3) / 0.03125

Using a calculator, we find t ≈ 22.313 years.

Now, we can calculate how much money Parker would have in his account at that time:

\(A = P \times (1 + r)^t\)

\(A = $8,000 \times (1 + 0.0275)^{22.313}\)

Using a calculator, we find A ≈ $13,774.

Therefore,

Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.

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Answer:

20,763

Step-by-step explanation:

I saw the answer after I got it wrong

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

Step-by-step explanation:

B.the constant

Answer:

7 hours

Step-by-step explanation:

here,

270/18=105/x

x=(105*18)/270

x=7

Chau made $270 for 18 hours of work. At the same rate,  Therefore Chau would have to work 7 hours at the same rate to make $105.

To find out how many hours Chau would have to work to make $105 at the same rate, we can set up a proportion using the given information:

Let x be the number of hours Chau needs to work to make $105.

We know that Chau made $270 for 18 hours of work, so the rate of earnings per hour is:

Rate = Total earnings / Number of hours

Rate = $270 / 18 hours

Rate = $15 per hour

Now, we can set up the proportion:

$15 per hour = $105 / x hours

To find x, we can cross-multiply:

$15 × x = $105

Now, solve for x:

x = $105 / $15

x = 7 hours

So, Chau would have to work 7 hours at the same rate to make $105.

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The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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Answer:

D.80

Step-by-step explanation:

You need to divide thus

16m/0.2m=80m

The absolute value of the elevation difference between the valley and sea level is 94 feet.

The absolute value of a number is the distance of that number from zero on the number line. It represents the magnitude or size of a quantity without considering its direction. In the given scenario, we are dealing with the elevation difference between a valley and sea level.

The valley is described as being 94 feet below sea level. To find the absolute value of the elevation difference, we need to ignore the negative sign and consider the magnitude of the difference.

In this case, since the valley is below sea level, the elevation difference is negative. However, when we take the absolute value, we disregard the negative sign and focus solely on the numerical value of the difference.

By applying the absolute value to the elevation difference of -94 feet, we remove the negative sign and consider only the magnitude. Thus, the absolute value of -94 is simply 94.

Therefore, the absolute value of the elevation difference between the valley and sea level is 94 feet. It indicates that the valley is 94 feet away from sea level in terms of elevation, regardless of the direction (above or below sea level). The absolute value provides a measure of the magnitude of the difference while disregarding the direction or sign associated with it.

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The answer is 36 degrees

Step 1

Angle GEH=180-2x (angles on a a straight line are supplementary)

Step 2

4x= G^+GE^H(sum of exterior angle)

4x=x+(180-2x)

4x=180-x

4x+x=180

5x=180

x=36 degrees

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity.

What is greedy algorithm?

Any algorithm that employs the problem-solving heuristic of selecting the locally optimal option at each stage is said to be greedy.

A greedy algorithm is an algorithmic paradigm that follows the problem-solving heuristic of making the locally optimal choice at each stage with the hope of finding a global optimum.

One way that the greedy algorithm can fail is if the problem has multiple locally optimal solutions that lead to different global optimal solutions.

For example, consider the problem of finding the shortest path through a maze. Suppose that the maze has two different paths that are both the same length, but one leads to the exit while the other does not. A greedy algorithm that always chooses the shorter path at each step will get stuck in the path that does not lead to the exit, because it is making locally optimal choices but not finding the global optimal solution.

Another way that the greedy algorithm can fail is if the problem requires a certain amount of "lookahead" in order to find the optimal solution. For example, consider the problem of scheduling a set of tasks with given start and end times and durations. A greedy algorithm might always choose the task with the earliest start time at each step, but this may not lead to the optimal schedule if the task with the earliest start time has a long duration and conflicts with other tasks that need to be completed later. In this case, the greedy algorithm needs to consider the duration of the tasks and the effect on future tasks in order to find the optimal solution.

An example that demonstrates the failure of a greedy algorithm is the Knapsack problem, which is a problem in combinatorial optimization. The problem is to maximize the value of items placed in a knapsack with a given weight capacity. A greedy algorithm might always choose the item with the highest value-to-weight ratio at each step, but this may not lead to the optimal solution if the items with the highest value-to-weight ratio do not fit in the knapsack or if they leave no room for other items with lower value.

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Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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Solution:

Given the equation below

Solving for f

If you substitute -7 for f into the equation

Hence, the answer is

No, because replacing f with -7, and simplifying the left side results in 35 and simplifying the right side results in 49

As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2]  by using preimage theorem.

Let F be the Stiefel manifold of orthonormal 2-frames in Rn to apply the preimage theorem. The collection of all tangent vectors to curves passing through [v1, v2] in F is what is known as the tangent space T[F] at a location [v1, v2]. Let (t) be a straight line in F such that (v1, v2) is a smooth curve. The tangent vector to t at time t = 0 is then given by

γ′(0) = [u, w] ∈ T[F].

We must now determine the requirements that [u, w] must meet in order to be in T[F]. Assume that V is a matrix with columns named v1 and v2. If Q is an orthogonal matrix, then any orthonormal 2-frame [v1′, v2′] in Rn can be represented as VQ. The category to which [v1′, v2′] belong Q is a 2 by 2 matrix with determinant 1, and F is equivalent to Q. Given that Q(0) = I, let Q(t) be a smooth curve in SO(2). Then, there is

γ(t) = VQ(t) (t),

and

γ′(0) = VQ′(0) (0).

We have Q since Q(t) is orthogonal (t)

TQ(t) = I, indicating

Q′(0)T + Q′(0) = 0.

Let [u, w] T[F] now. Once this is the case, a smooth curve Q(t) in SO(2) exists with Q(0) = I and

[u, w] = VQ′(0) (0).

Applying the equation above, we obtain

v1uv2w plus v1wv2u equals 0.

As a result, the set of all [u, w] Rn Rn satisfying the previous equation is the tangent space to F at [v1, v2].

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