The width of a rectangle is shown below:

A coordinate plane with a point A at negative 4, 4 and C at negative 4, negative 3.

If the area of the rectangle to be drawn is 42 square units, where should points B and D be located if they lie to the right of points A and C?

Answer:

m4{=100 is the answer,,,,,,

Answer:

Yes

Step-by-step explanation:

We just need to (0,6) in the equation to see if it gives a true answer or not!

y = -x + 6

6 = 0 + 6

6 = 6

So, (0,6) is a solution to the equation y = -x + 6

Answer: 40 out of 50 can be re-written into 80%.

Step-by-step explanation: 40 out of 50 is the same thing as 4/5. 1/5 is 20%. Four 20%s is 80%

Answer:

80%

Step-by-step explanation:

40/50 x 100%= 80%

hope this helped

Answer:

3.5 yd is your answer

Step-by-step explanation:

First, change in. to ft. Note that the measurement given to you is that 1 ft = 12 in.

Divide the amount of inches you have with 12.

126/12 = 10.5

Next, solve for yards. It is given to you that 1 yard = 3 feet.

Divide the amount of feet you have with 3.

10.5/3 = 3.5

3.5 yd is your answer

The unit circle has the co-ordinates (-√2/2, -√2/2)

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given here: The unit circle and the point makes an angle of 225

we know the co-ordinates of any point on the unit circle is given by

x=cost and y=sint where t is the angle that line passing through the origin containing the point makes with x-axis

Thus x=cos225

           =-√2/2

and y=sin225

        =-√2/2

Hence, The required point is given by co-ordinates (-√2/2, -√2/2)

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Answer:

Female-2,000 per day

Male- 2,400 per day

Step-by-step explanation:

Hope this helps:)......if not then sorry for wasting your time and may God bless you:)

Answer:

170000

Step-by-step explanation:

17000

Answer:

67, 600

Step-by-step explanation:

There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

A company is making aid badges with personal ID codes on them for each employee.

The ID code will consist of two letters followed by 2 digits.

Then the number of ways ID codes are there will be

\(\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600\)

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The sequence of transformations that proves that the shapes are similar is given as follows:

B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5

First, we have that the orientation of the figure, hence it was reflected.

The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.

The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:

3/2 = 1.5.

Hence option B is the correct option for this problem.

The missing parts of the problem are given by the image presented at the end of the answer.

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Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

Answer:

17.5\(ft^3}\)

Step-by-step explanation:

v = 1/3 lwh

v = 1/3(2.5)(3)(7)

v =17.5

Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer: 5n - 4

Step-by-step explanation:    

n is the number, 5 times the number is 5n.  4 less means subtract 4.  So the correct expression is 5n - 4

Answer:

Step-by-step explanation:

4 x 10^2 = 4 x 100 = 400

Answer:

station three for part a and 2,064 for part b

Step-by-step explanation:

i got the answer correct

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

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Answer:

Question: Q#01: [4] A police department believes that the number of serious crime which occur each month can be estimated by the equation C = 1200 - 12.5p Where c equals the number of serious crimes expected per month and p equal the number of officers assigned to preventive patrol.

Step-by-step explanation:

The interval for the possible angle of the ball needed to clear the net is (0° , 15.4°) .

In the question ,

it is given that ,

the equation for the horizontal distance "d" that is travelled by the ball as a function of its velocity "v₀" and angle "θ"  is :

d = 1/32*v₀²*sin(2θ)      ...equation(1)

we have to find the interval of angle for which the ball will clear the net .

If the ball is hit with the velocity of v₀ = 50 feet per second , and d = 40 ft .

substituting these values in the equation(1) ,

we get ,

40 = (1/32)*(50)²*sin(2θ)

Simplifying further ,

we get ,

sin(2θ) = 0.512

So , θ = (30.8/2)° = 15.4°

So , for the tennis ball to clear the net , d > 40 and θ < 15.4° .

Therefore , the required interval is (0° , 15.4°)  .

The given question is incomplete , the complete question is

A tennis ball leaves a racquet and heads toward a net 40 feet away , The height of the net is the same height as the initial height of the tennis ball .

If the ball is hit at 50 feet per second , neglecting air resistance , use d = 1/32*v₀²*sin(2θ) to find the interval of possible angles of the ball needed to clear the net .

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Answer:

The Empirical Rule

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

So the answer to this question is the Empirical Rule

Step-by-step explanation:

See image

Answer:

a= 14

b= 111

Step-by-step explanation:

just took it

The simplified forms of division between two complex numbers are

Case 1: z = i (1 / 2)

Case 2: z = i (3 / 7)

Case 3: z = - i

Case 4: z = i

Case 5: z = i (1 / 3)

Case 6: z = - i (3 / 2)

Case 7: z = - i (5 / 2)

Case 8: z = i

Case 9: z = - 1 - i (9 / 4)

Case 10: z = 9 - i 8

Case 11: z = - 5 / 6 + i (1 / 2)

Case 12: z = 2 / 3 - i (2 / 3)

Case 13: z = - 4 / 5 - i (3 / 10)

Case 14: z = - 3 / 2 + i (1 / 2)

Case 15: z = 6 + i 4

Case 16: z = 7 / 3 + i 9

Case 17: z = - 59 / 29 + i 17 / 29

Case 18: z = 1 / 2 - i (3 / 2)

Case 19: z = 103 / 106 + i 37 / 106

Case 20: z = - 14 / 25 - i 52 / 25

Case 21: z = 57 / 50 + i (1 / 50)

Case 22: z = - 15 / 14 - i (5 / 14)

Case 23: z = - 17 / 41 - i (11 / 41)

Case 24: z = 38 / 65 + i (86 / 65)

Case 25: z = - 4 / 13 + i 20 / 13

Case 26: z = 42 / 17 + i (2 / 17)

Complex numbers are numbers of the form z = a + i b, where a, b are real coefficients. In this problem we find 26 cases of division between two complex numbers, the simplification consists in rationalizing the expression by means of conjugates, that is:

(a + i b) / (c + i d)

[(a + i b) · (c - i d)] / [(c + i d) · (c - i d)]

(a · c + i b · c - i a · d - i² b · d) / (c² - i² d²)

[(a · c + b · d) + i (b · c - a · d)] / (c² + d²)

(a · c + b · d) / (c² + d²) + i (b · c - a · d) / (c² + d²)

(a + i b) / (c + i d) = (a · c + b · d) / (c² + d²) + i (b · c - a · d) / (c² + d²)

Now we find the simplified forms of the divisions:

Case 1: (a = 2, b = 0, c = 0, d = - 4)

z = i (8 / 16)

z = i (1 / 2)

Case 2: (a = 3, b = 0, c = 0, d = - 7)

z = i (21 / 49)

z = i (3 / 7)

Case 3: (a = 2, b = 0, c = 0, d = 2)

z = - i (4 / 4)

z = - i

Case 4: (a = - 10, b = 0, c = 0, d = 10)

z = i (100 / 100)

z = i

Case 5: (a = 3, b = 0, c = 0, d = - 9)

z = i (27 / 81)

z = i (1 / 3)

Case 6: (a = 6, b = 0, c = 0, d = 4)

z = - i (24 / 16)

z = - i (3 / 2)

Case 7: (a = 5, b = 0, c = 0, d = 2)

z = - i (10 / 4)

z = - i (5 / 2)

Case 8: (a = - 9, b = 0, c = 0, d = 9)

z = i (81 / 81)

z = i

Case 9: (a = 9, b = - 4, c = 0, d = 4)

z = - 16 / 16 - i 36 / 16

z = - 1 - i 18 / 8

z = - 1 - i (9 / 4)

Case 10: (a = 8, b = 9, c = 0, d = 1)

z = 9 / 1 - i 8 / 1

z = 9 - i 8

Case 11: (a = 3, b = 5, c = 0, d = - 6)

z = - 30 / 36 + i 18 / 36

z = - 5 / 6 + i (1 / 2)

Case 12: (a = - 6, b = 6, c = 0, d = - 9)

z = - 54 / 81 - i 54 / 81

z = 2 / 3 - i (2 / 3)

Case 13: (a = 3, b = - 8, c = 0, d = 10)

z = - 80 / 100 - i 30 / 100

z = - 8 / 10 - i (3 / 10)

z = - 4 / 5 - i (3 / 10)

Case 14: (a = 2, b = 6, c = 0, d = - 4)

z = - 24 / 16 + i 8 / 16

z = - 3 / 2 + i (1 / 2)

Case 15: (a = - 4, b = 6, c = 0, d = 1)

z = 6 / 1 + i 4 / 1

z = 6 + i 4

Case 16: (a = 6, b = - 7, c = 0, d = - 3)

z = 21 / 9 + i 18 / 9

z = 7 / 3 + i 9

Case 17: (a = 9, b = - 7, c = - 5, d = 2)

z = - 59 / 29 + i 17 / 29

Case 18: (a = - 1, b = 8, c = - 5, d = 1)

z = 13 / 26 - i (39 / 26)

z = 1 / 2 - i (3 / 2)

Case 19: (a = - 8, b = 7, c = - 5, d = 9)

z = 103 / 106 + i 37 / 106

Case 20: (a = 4, b = - 10, c = 4, d = 3)

z = - 14 / 25 - i 52 / 25

Case 21: (a = - 9, b = - 7, c = - 8, d = - 6)

z = 114 / 100 + i 2 / 100

z = 57 / 50 + i (1 / 50)

Case 22: (a = 10, b = - 5, c = - 7, d = 7)

z = - 105 / 98 - i (35 / 98)

z = - 15 / 14 - i (5 / 14)

Case 23: (a = - 3, b = 1, c = 4, d = - 5)

z = - 17 / 41 - i (11 / 41)

Case 24: (a = - 10, b = 6, c = 1, d = 8)

z = 38 / 65 + i (86 / 65)

Case 25: (a = - 8, b = 8, c = 6, d = 4)

z = - 16 / 52 + i 80 / 52

z = - 4 / 13 + i 20 / 13

Case 26: (a = 2, b = 10, c = 1, d = 4)

z = 42 / 17 + i (2 / 17)

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Answer:

4005

Step-by-step explanation:

3,998 - (-7) = ?

Two negative signs will make a positive sign.

3,998 - (-7) = 3998 + 7 = 4005

So, the answer is 4005

The current weight of the truck is given as follows:

3496 kg.

The current weight of the truck is obtained applying the proportions in the context of the problem.

The initial weight of the truck is given as follows:

3796 kg.

The weight removed from the truck is given as follows:

6 x 50 = 300 kg.

Hence the current weight of the truck is given as follows:

3796 - 300 = 3496 kg.

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Answer:

(2) 6x^2+40x +50

Step-by-step explanation:

(4x+10)*(2x+5) = 8x^2 +40+50

minus 2x^2

=6x^2 +40 +50

9514 1404 393

Answer:

  A, B

Step-by-step explanation:

The equation is equivalent to ...

  cos(x -π/7) = -(√2)/2

  x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII

  x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B

Answer: approximately 4478.46096908264 square cm.

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

Explanation:

I'm assuming this is a regular 12-sided polygon

The area formula for regular polygons is

\(A = 0.25n*s^2*\cot(180/n)\)

where in this case we have n = 12 sides and each side is of length s = 20

So,

\(A = 0.25n*s^2*\cot(180/n)\\\\A = 0.25*12*(20)^2*\cot(180/12)\\\\A = 0.25*12*(20)^2*\cot(15)\\\\A = 0.25*12*(20)^2*\frac{1}{\tan(15)}\\\\A \approx 4478.46096908264\\\\\)

The area of this regular polygon is approximately 4478.46096908264 square cm.

Make sure your calculator is in degree mode when computing that value of cot(15) or 1/tan(15).

The factors of the polynomial function f(x) must be x, x + 6  and x + 3

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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The solution of the expression is x=0 and it is the only solution that is an integer.

An expression in mathematics is a combination of numbers, variables, and mathematical operations that evaluates to a numerical value or an algebraic expression.

To do this, we need to pick a range of x values and substitute them into each equation to find the corresponding y values.

Next, we need to find the points of intersection between the two curves. These are the x values where the two curves cross each other and have the same y value. To find these points, we will set the two equations equal to each other and solve for x:

=> x=5x−x³

Expanding this equation, we get

=> 4x³+x=0.

Factoring this equation, we get

=> x(4x²+1)=0.

This gives us two solutions, x=0 and x=±i√(1/4), where i is the imaginary unit. Since x can only take on real values, x=0 is the only solution that is an integer.

Complete Question:

Use the open space to show all of your work. This includes: sketching the curves, finding and labeling the points of intersection, setting up the appropriate definite integral(s), and evaluating them. Place your numerical answer for the area of the region in the box. Leave your answer in exact form.

y = x,

y = 5x−x³

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