2/3 x + 2 = 2 1/3 Solve for X. A. 0 B. 1/2 C. -2 D.2

Answer:

\(5\ units\)

Step-by-step explanation:

\(From\ the\ graph,\\Coordinates\ of\ Point\ P=x_1,y_1=-10,15\\Coordinates\ of\ Point\ T=x_2,y_2=15,15\\Hence,\\As\ we\ know\ that,\\Linear\ Distance(d)\ between\ any\ two\ points\ on\ the\ cartesian\ plane\\ is\ given\ by:\\d=\sqrt{(x_2-x_1)+(y_2-y_1)} \\Hence, here\\Distance\ between\ Points\ P\ and\ T=\sqrt{(15-(-10))+(15-15)\\\)

\(Distance\ between\ Points\ P\ and\ T=\sqrt{(15+10)}\\Distance\ between\ Points\ P\ and\ T=\sqrt{25}\\ Hence,\\Distance\ between\ Points\ P\ and\ T=5\ units\)

Answer:

29

Step-by-step explanation:

(7-5)^2 is 4 and (20-19)^2 is 1

4+1=5

3*5=15

15+14=29

Answer:

29

Step-by-step explanation:

3((7-5)^2+(20-19)^2) + 14

3(4+1)+14

12+3+14

15+14

29

Answer:

543

Step-by-step explanation:

The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42

A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.

The six o'clock position on the Ferris wheel is level with the loading platform.

The wheel completes 1 full revolution in 2 minutes.

We have to find how many minutes of the ride are spent higher than 26 meters above the ground.

So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters

So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)

Also, the height of a person at the lowest point = 4 - 15 = -11 meters

Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.

So, the total distance travelled will be = 19 + 11 = 30 meters.

Also, we are given that the wheel completes 1 full revolution in 2 minutes.

We need to calculate the time spent higher than 26 meters above the ground.

So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.

This angle can be calculated as follows:

Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees

Angle = 30 / (pi * 30) * 360 degrees

Angle = 360 degrees / pi

= 114.59 degrees

So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.

Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.

This can be calculated as follows:

Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken

Time = (180 - 114.59) / 360 * 2 minutes

Time = 0.42 minutes

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9514 1404 393

Answer:

  (1, -3)

Step-by-step explanation:

The point P that partitions AB into the ratio m:n is ...

  P = (mB +nA)/(m+n)

The point you're looking for is ...

  P = (3(3, -9) +2(-2, 6))/(3+2) = (9-4, -27+12)/5 = (5, -15)/5

  P = (1, -3)

Answer:

287.5 : 1   (287.5 feet : 1 minute)

Step-bded by 2 = 57.5    57.5 x 5 = 287.5. Therefore, 287.5 : 1

Answer:

Mean =\(\sum x P(x) = 36.86\)

Standard deviation =\(\sum x^2P(X)=1360.9\)

Step-by-step explanation:

x          P(x) \(x \times P(x)\)       \(x^2 \times P(x)\)

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =\(\sum x P(x) = 36.86\)

Standard deviation =\(\sum x^2P(X)=1360.9\)

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

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Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

perimeter of a rectangle is the sum of the dimensions. This is the sum of the 2 lengths and the 2 widths

Given data

width of a rectangular stamp ( W ) = 1.40cm + L

L = length

perimeter of stamp after increment = 20.8cm

Perimeter p = 2 ( L + W )

20.8 =  2 ( L + 1 + W + 1 )

20.8 =  2 ( L + 1 + 1.4+ L + 1 )

20.8 =  2 ( 2L + 3.4 )

10.4 = ( 2L + 3.4 )

2L = 10.4 - 3.4

L = 7 / 2

L = 3.5cm

Therefore length of the stamp is 3.5 cm

Width of the stamp = 1.4 + L

W = 1.4 + 3.5

W = 4.9 cm

Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm

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The area of the shaded region is equal to 45 square units.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of rectangle = 8 × 6

Area of rectangle = 48 square units.

Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;

L₁ = 8 - 5 = 3 units.

L₂ = 6 - 4 = 2 units.

Area of right triangle = 1/2 × 3 × 2

Area of right triangle = 3 square units.

For the area of the shaded region, we have:

Area of the shaded region = 48 square units - 3 square units.

Area of the shaded region = 45 square units.

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Missing information:

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

A. No, B. Yes, dimension is 2 and basis is y(x) = cos(2x), y(x) = sin(2x).

A. No, this set is not a vector space. The set of all skew-symmetric 3x3 matrices does not contain the zero matrix, which is a requirement for a vector space.

B. Yes, this set is a vector space. The dimension is 2, and the basis is the functions y(x) = cos(2x) and y(x) = sin(2x). To verify this is a vector space, we need to check that the set is closed under addition and scalar multiplication. For arbitrary real constants a and b, the function y(x) = a cos(2x) + b sin(2x) is a linear combination of the basis vectors. This means that it is closed under addition and scalar multiplication, so the set is a vector space

A. No, B. Yes, dimension is 2 and basis is y(x) = cos(2x), y(x) = sin(2x).

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The value of y is 55°.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

x and 100° together form a straight angle.

x + 100 = 180

x = 180 - 100

x = 80

Now,

45° + x + y = 180

45 + 80 + y = 180

y = 180 - 125

y = 55°

Thus,

y = 55°.

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\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The required equation is :

\(\qquad \sf  \dashrightarrow \:a \cos(bx) + k\)

Now, let's find the required values :

[distance between any successive Crest or trough]

Distance of starting position from origin = k

Now, plug in the values ~

\(\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{ \pi}{3}x ) - 2\)

At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

From given graph we can see that

At x=2, the function in the graph is approaches to infinity.

It means function is not defined at x=2

We know that a rational function is undefined when denominator is equal to zero.

For equation 1:

f(x)= 2(x+2)/(x-2)

Equating the denominator:

x-2=0

x=2

It means function is not defined at x=2

The y-intercept is: y= -2

The function is passing through the point (1,-6).

When we substitute x=1

Hence, option 1 is true.

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When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Number of cupcakes with a baker = 24

Number of chocolate cupcakes with the baker:

\( =\tt \frac{1}{4} \: \: of \: \: 24\)

\( =\tt \frac{1}{4} \times 24\)

\( = \tt \frac{24}{4} \)

\( \color{plum}=\tt 6 \: cupcakes\)

Thus, the number of chocolate cupcakes the baker has = 6

Number of strawberry cupcakes with the baker :

\( = \tt \frac{4}{4} - \frac{1}{4} \: \: of \: \: 24\)

\( =\tt \frac{3}{4} \: \: of \: \: 24\)

\( =\tt \frac{3}{4} \times 24\)

\( = \tt \frac{72}{4} \)

\( \color{plum}=\tt 18 \: cupcakes\)

Thus, the number of strawberry cupcakes = 18

Therefore, the number of strawberry cupcakes with the baker = 18

If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.

Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.

First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:

Social Security tax = $102,000 x 0.062 = $6,324

Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:

Social Security tax = $1,100 x 0.062 = $68.20

Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.

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Answer:

9

Step-by-step explanation:

If you take a look at the graph, in order to find h(-5) you need to look at what the y intercept is when x=-5. In that case, when x = -5, y = 4 and so h(-5) = 4.

You do the same for h(5). Look at what y is when x equals 5. So h(5) = 5.

h(-5) + h(5) = (4) + (5) = 9

Answer:

9

Step-by-step explanation:

h(-5) is the y value when x = -5

h(-5) = 4

h(5) is the y value when x = 5

h(5) = 5

h(-5) + h(5) = 4+5 = 9

9514 1404 393

Answer:

  y = 20x

Step-by-step explanation:

The cost of student lessons is found by multiplying the cost per hour (20) by the number of hours (x). If y represents the total cost, then ...

  y = 20x

Answer:

I say B or A but I think B

Step-by-step explanation:

So you would want to put 1.8/16 to find B and 1.65/12 to find A which ever one is lowest is anwser

Answer:

Brand B

Step-by-step explanation:

It has the lowest price per ounce at about 11 cents per ounce

A statement that correctly compares the graph of function g with the graph of function f include the following: C. The graph of function g is a vertical compression of the graph of function f.

In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.

When the parent function \(f(x) = e^x -4\) is vertically compressed by a scale factor of 1/2, the transformed function g(x) is given by the following equation;

g(x) = kf(x)

g(x) = 1/2f(x)

\(g(x) = \frac{1}{2} e^x -4\)

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The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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3/5 is the fraction between the numbers 1/3 and 87/100

A number line is a graphical representation of numbers that can be used to understand and visualize numerical relationships. It is a straight line that extends infinitely in both directions and is usually drawn horizontally.

Writing the fractions as percentage:

1/3 * 100 = 33.3%

87/100 = 87%

This shows that the required number must be between 33.3% and 87%

From the given options:

3/5 * 100 = 3 * 20

3/5 * 100 = 60%

Hence the value in between the numbers 1/3 and 87/100 is 3/5

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The required function y = 7 cos (2π * 0.1 * x) and period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

he cosine function can be used to model periodic motion, and its general form is:

y = A cos (Bx + C) + D

where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

In this case, we know that a 14 in. wave occurs every 10 s, so we can use this information to find the frequency, which is the reciprocal of the period. The period is the time it takes for one complete cycle of the wave, which in this case is 10 s.

Therefore, the frequency is:

\(f = \frac{1}{T}=\frac{1}{10} = 0.1 Hz\)

We can also see that the amplitude of the wave is 7 inches, since the wave has a height of 14 inches from its highest point to its lowest point.

Now we can write the function that models the height of the particle in inches y as it moves in seconds x:

y = 7 cos (2π * 0.1 * x)

Here, the frequency is expressed in radians per second (2π * 0.1 = 0.2π), since the cosine function takes radians as its argument. The phase shift and vertical shift are both zero in this case, since the wave starts at its highest point and has no vertical shift.

Therefore, the period of the function is 10 seconds, which is the time it takes for one complete cycle of the wave.

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By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer: 17/20

Step-by-step explanation:

0.85 = 85/100 = 17/20

The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.

Answer:

The answer is in the picture below

Step-by-step explanation:

Hope this helps!

Figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

The reflection operator geometrically repositions image elements, or pixel values, in such a way that they are reflected about a user-specified image axis or image point and placed in a new position in a matching output image.

In the given image option fourth is showing the correct reflection of the triangle △MNP over the y-axis to the form △M`N`P'.

It is observed that every point of the triangle MNP is at the same distance from the y-axis as every point of the triangle M'N'P'.

Therefore, figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.

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Answer:

the answer will be 7:15 AM.

hope this helps!

Answer: She arrived at 7:15 am.

Step-by-step explanation: