Kathy has a job on a farm.
. She earns $3.20 every 15 minutes she picks
green peppers.
. She earns $3.00 every 20 minutes she picks
carrots.
She picked green peppers for 45 minutes and
then spent an hour picking carrots.
How much money did Kathy earned? (write
your answer in dollars. cents)

The expression will be given as -4x² + 3x. Thus, option B is correct answer.

Area may be defined as the total amount of space which is covered by an entity. The area for a square will be given by the product of its sides and the area of the rectangle will be given as the product of its length and breadth. It is given that the area of Maria's garden is 8x² - 3x and the length and breadth of Jamal's garden are 4x - 2 and 3x respectively. The area of Jamal's garden is given by A = l×b  = (4x - 2) × 3x = 12x² - 6x.

Now, difference between Maria's garden and Jamal's garden is given by

(8x² - 3x) - (12x² - 6x)

= 8x² - 3x - 12x² + 6x

=> -4x² + 3x which is the required answer.

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Answer:

40 miles

Step-by-step explanation:

2.5 miles / .25 hours = 10 miles per hour

(10 miles per hour)(4 hours) = 40 miles

Answer:

6/5

Step-by-step explanation:

Rise

_____

Run

The slope of parallel line is -6/5

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

given:

Equation: 18x + 15y = 90.

Now, writing the given equation in slope intercept form

15y= 90- 18x

y= 90/15 - 18/15 x

y= 6 - 6/5x

So, the slope of given line is -6/5

Now, the slope of parallel and given is same.

Thus, the slope of parallel line is -6/5

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The least number of arc measures needed to determine the measures of each angle in the inscribed quadrilateral is 2.

To determine the measures of each angle in the quadrilateral, we need to find the central angles of the arcs that intersect the quadrilateral's vertices. Since the quadrilateral is not a rectangle, it is not a cyclic quadrilateral, which means that its opposite angles do not add up to 180 degrees.

Therefore, we need to use the fact that the sum of the measures of the opposite angles in an inscribed quadrilateral is 360 degrees. Let the angles of the quadrilateral be A, B, C, and D, with opposite angles A and C, and B and D. We can find the measure of arc AC by drawing a chord connecting the endpoints of AC and finding the central angle that intercepts it. Similarly, we can find the measure of arc BD.

Now, we can use the fact that the sum of the central angles that intercept arcs AC and BD is equal to 360 degrees. Let these angles be x and y, respectively. Then, we have:

x + y = 360

We can solve for one of the variables, say y, in terms of the other:

y = 360 - x

Substituting this into the equation for arc BD, we have:

2x + 2(360 - x) = arc BD

Simplifying this equation, we get:

arc BD = 720 - 2x

Now, we can use the fact that the sum of the measures of angles A and C is equal to the measure of arc AC, and the sum of the measures of angles B and D is equal to the measure of arc BD. Therefore, we have:

A + C = arc AC
B + D = arc BD = 720 - 2x

We need to find the least number of arc measures needed to determine the measures of A, B, C, and D. Since we have two equations and two variables (x and A), we can solve for both variables. Then, we can use the equations for B and D to find their measures.

Solving for A in terms of x, we have:

A = arc AC - C
A = 360 - x - C

Substituting this into the equation for B + D, we have:

(360 - x - C) + B + D = 720 - 2x

Simplifying this equation, we get:

B + D = 360 + x - C

Now, we have three equations and three variables (x, A, and C). We can solve for each variable in terms of x, and then use the equation for B + D to find their measures.

Therefore, the least number of arc measures needed to determine the measures of each angle in the quadrilateral is two: arc AC and arc BD.

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Answer:

f(x) = -2x + 1

Step-by-step explanation:

Since, The equation of the height with the time is provided and the balloon is thrown upwards against gravity from 5 feet, The answer is 0.255 sec.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it has reached its maximum acceleration.

initial height = 5

final height =20

height to travel =20-5 =15

\(15 = 16t^{2}+35t+5\\16t^{2}+35t-10 =0\)

solving we get, t = 0.255 or -2.44

since, -2.44 is not possible,

t = 0.255 seconds.

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The probability that they're both home is 1/12.

In the given question,

Probability of Maya at home P(A) = 1/3

And probability of Jim at home P(B) = 1/4

The probability that Jim is home given that maya is home P(A∪B) = 1/2

We have to find the probability when they both are at home P(A ∩ B).

As we can see that the probability of both the events are independent

So, we can use

P(A ∪ B) = P(A) + P(B) – P(A ∩ B)

Therefore,

1/2 = 1/3 +1/4 – P(A ∩ B)

P(A ∩ B) = 7/12 – 1/2

P(A ∩ B) = 1/12

Hence, the probability that they're both home is 1/12.

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Answer:

3 times.

Step-by-step explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minutes.
1/2 of an hour= 1/2 * 60= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into: 1/3 * 60 = 20 minutes.

If 1/6 of an hour is spent in weight-lifting, it translates into: 1/6 * 60 = 10 minutes.

In total, she spends, 20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

 90 minutes/30 minutes= 3 times for each cycle.

Answer:

13 AND 14

Step-by-step explanation:

THERE IS NO PICTURE OR ANY ANSWERS

Answer: $76.00

Step-by-step explanation: 57 divided by 6 is 9.5 . Now 9.5 X 8 = 76

Answer:

a,e

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

lets first solve the equation using distributive property:

-3(x-2)=4x-2(x-1)

-3x+6=4x-2x+2

-3x+6=2x+2    (E)

Now move the like terms on one side:

-3x-2x=2-6

-5x=-4             (A)

Answer:

An expression is considered simplified only if there is no radical sign in the denominator. ... This is achieved by multiplying both the numerator and denominator by the radical in the denominator. Note that here, we're just multiplying by a special form of 1 , so it doesn't change the value of the expression.

Rewriting the integral f (x,y,z) dz dy dx as an iterated integral, the integral is - ∫(from -1 to 1) ∫(from 0 to 1-y) ∫(from x^2 to 1-z) f(x, y, z) dy dz dx.

To rewrite the integral f(x, y, z) dz dy dx as an iterated integral in the order dx dy dz and dy dz dx, with given limits, follow these steps:

For dx dy dz:

1. Identify the limits for x: -1 to 1

2. Determine the limits for y: x^2 to 1 (from the given limits)

3. Determine the limits for z: 0 to 1-y (from the given limits)

Therefore, ∫(from -1 to 1) ∫(from x^2 to 1) ∫(from 0 to 1-y) f(x, y, z) dx dy dz

For dy dz dx:

1. Identify the limits for x: -1 to 1

2. Determine the limits for z: 0 to 1-y (from the given limits)

3. Determine the limits for y, keeping in mind that y goes from x^2 to 1:
  - For z, solve 1-y = z, which gives y = 1-z
  - So, y goes from x^2 to 1-z

Therefore, ∫(from -1 to 1) ∫(from 0 to 1-y) ∫(from x^2 to 1-z) f(x, y, z) dy dz dx

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Answer:

domain: (–∞,∞)    or  all real numbers

range: (–∞,∞)       or  all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

The given system of equations do not have a solution since their related line equations have the same slope.

The given system of equations is:

-x + 5y = 3   .......... (1)

2x - 10y = 4   ........(2)

In Equation (1), add both sides by (-5y)

-x + 5y + (-5y) = 3 + (-5y)

-x = -3 - 5y

Multiply by (-1)

x = 3 + 5y

Substitute x = 3 + 5y into equation (2)

2x - 10y = 4

2.(3 + 5y) - 10y = 4

6 + 10y - 10y = 4

6 = 4 (False)

Since the last equation is false, we might suspect that the given system of solution does not have solutions.

We need to check the slope of both equations:

-x + 5y = 3

⇒ 5y = x + 3

⇒ y = 1/5 x + 3/5

2x - 10y = 4

⇒ -10 y = -2x + 4

⇒ y = (2/10) x - 4/10

⇒ y = 1/5 x - 2/5

We can see that both equations have the same slope, i.e. 1/5.

Hence, they do not have solutions since the lines are parallel to each other.

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Step-by-step explanation:

Since it's a right triangle, you can use Pythagoras

a^2 + b^2 = c^2

We have b and c, we just need a, so let's plug it in

\( {x}^{2} + {24}^{2} = {25}^{2} \)

\( {x}^{2} + 576 = 625\)

\( {x}^{2} = 49\)

\(x = 7\)

Answer: 7ft

Step-by-step explanation:

hypotenuse (h) = 25

perpendicular (p) = 24

base (b) = ?

We know by using Pythagoras theorem

b = √h² - p²

= √ 25² - 24²

= √ 49

= 7 ft

Answer: Therefore, the plastic for the prototypes will cost $1,452,150.

Step-by-step explanation:

The volume of the cube can be calculated as:

Volume of the cube = (side length)^3 = (14 mm)^3 = 2,744 mm^3

The volume of the hole can be calculated as:

Volume of the hole = (1/4) x π x (diameter)^2 x thickness = (1/4) x π x (12 mm)^2 x 14 mm = 5,049 mm^3

The volume of plastic used to create one prototype can be calculated as:

Volume of plastic = Volume of cube - Volume of hole = 2,744 mm^3 - 5,049 mm^3 = -2,305 mm^3

Note that the result is negative because the hole takes up more space than the cube.

However, we can still use the absolute value of this result to calculate the cost of the plastic:

Cost of plastic per prototype = |Volume of plastic| x Cost per cubic millimeter = 2,305 mm^3 x $0.07/mm^3 = $161.35/prototype

To find the cost of the plastic for 9,000 prototypes, we can multiply the cost per prototype by the number of prototypes:

Cost of plastic for 9,000 prototypes = 9,000 x $161.35/prototype = $1,452,150

The plastic for the prototypes will cost $1,452,150.

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Answer: 15 - 6i

Step-by-step explanation:

3(5-2i)

3×5+3×(−2i)

Do the multiplications.

15−6i

A) The annual growth rate between 1993 and 2004, is approximately 5.68%.  B) Converting the growth rate from part A to percentage form, is approximately 5.68%.  C) Assuming the house value continues to grow at the same annual growth rate, the estimated value in the year 2009 would be approximately $215,000

A) The annual growth rate between 1993 and 2004, assuming exponential growth, can be calculated using the formula: growth rate = (final value / initial value) ^ (1 / number of years) - 1. In this case, the initial value is $95,000, and the final value is $165,000. The number of years is 2004 - 1993 = 11. Plugging these values into the formula, we get: growth rate = (165,000 / 95,000) ^ (1 / 11) - 1 ≈ 0.0568.

B) Converting the growth rate from part A to percentage form, we multiply it by 100. Therefore, the correct answer in percentage form is approximately 5.68%.

Now let's move on to part C. Assuming the house value continues to grow at the same percentage, we can calculate the value in the year 2009. We know that the value in 2004 was $165,000. To find the value in 2009, we need to calculate the growth over a period of 5 years. Using the growth rate of 5.68% (or 0.0568 as a decimal), we can calculate the value in 2009 as follows: value in 2009 = value in 2004 (1 + growth rate) ^ number of years = 165,000 (1 + 0.0568) ^ 5 ≈ $215,291.

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The vector X in \(R^{2}\) whose coordinates with respect to the basis B are [6, -1] is X = [4, -35]

An ordered basis B in \(R^{2}\) is a pair of linearly independent vectors that can be used to uniquely represent any vector in the 2-dimensional space.

In this case, the ordered basis B consists of the vectors [1, -6] and [2, -1].
A vector X in \(R^{2}\) can be written as a linear combination of the basis vectors. To find the vector X whose coordinates with respect to basis B are [6, -1], we can represent it as follows:
X = 6 × [1, -6] + (-1) × [2, -1]
Now, we just need to perform the linear combination:
X = 6 × [1, -6] + (-1) × [2, -1]
X = [6 × 1, 6 × (-6)] + [(-1) × 2, (-1) × (-1)]
X = [6, -36] + [-2, 1]
Next, add the corresponding components of the two resulting vectors:
X = [(6 + -2), (-36 + 1)]
X = [4, -35]

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The values of variables are,

⇒ e = 21/4

⇒ f = 9/2

We have to given that,

Triangles ABC and DEF are similar.

And, a = 4, b = 7, c = 6, and d = 3

Now, We know that,

If two triangles are similar then it's ratio of corresponding sides are equal.

Hence, We can formulate,

⇒ AB / BC = DE / EF

⇒ BC / CA = EF / FD

Substitute all the values, we get;

⇒ AB / BC = DE / EF

⇒ 6 / 4 = f / 3

⇒ 6 × 3 / 4 = f

⇒ f = 18 / 4

⇒ f = 9/2

And,

⇒ BC / CA = EF / FD

⇒ 4 / 7 = 3 / e

⇒ 4e = 21

⇒ e = 21/4

Thus, The values of variables are,

⇒ e = 21/4

⇒ f = 9/2

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Answer:

  (b)  56.5 ft

Step-by-step explanation:

The circumference of a circle of diameter d is given by ...

  C = πd

For the given diameter, the circumference of the frame is ...

  C = (3.14)(18 ft) ≈ 56.52 ft

The length of the outside edge of the frame is about 56.5 feet.

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Answer:

m=2/13

Step-by-step explanation:

Given function:

Subtract middle value from both side:

Combine like terms:

Divide both sides by the same term:

Divide the terms:

Therefore, m=2/13.

Answer:

68.2 miles per hour

Step-by-step explanation:

Speed limit = 110 kilometers per hour

1 kilometer = 0.62 miles

110 kilometers = x miles

Cross product

1*x = 0.62*110

x = 68.2 miles

Cesar should drive at 68.2 miles per hour to avoid a speeding ticket

110 kilometers per hour = 68.2 miles per hour

Answer:

80 candy bars

Step-by-step explanation:

The first part of the problem asks us to find 1/5 of 160. To find this, divide 160/5, which gives us 32. Then subtract 32 from 160, which equals 128. On Saturday, the soccer team is left with 128 candy bars.

The second part of the problem asks us to find what is 3/8 of the remaining candy bars, which is 128. To find this, divide 128 by 8, which gives us 16. Since it's 3/8 of the remaining bars sold, we need to multiply 16 by 3, which equals 48. Lastly, subtract 48 from 128, which gives us our final answer, 80 candy bars.

Hope this helps! :)

Do you need a equation for that?

y=4x+3

Answer:

12%

Step-by-step explanation:

(80 - 70.40)/80 * 100 = 12

Answer:

Step-by-step explanation:

Given

Functions f(x) and g(x) = k⋅f(x)

Answer:

third one

Step-by-step explanation: