2/v+1/w+1/2 solve for v

Answer: the width is 29 feet and the length is 37

Step-by-step explanation:

5π/3=5π/3×180/π=300°

300° is the correct answer

Answer:

300 degrees

Step-by-step explanation:

To convert from radians to degrees, multiply by 180/ pi

5 pi /3  * 180/pi

5/3 * 180

5 * 60

300

Answer:

B. Doubling the cube.

Step-by-step explanation:

Riemann's negation was formulated by German mathematician Hermann Riemann in the 19th Century.

Playfair's axiom was an axiom alternative to the Euclid' fifth postulate, which was formulated in the 19th Century.

The method of bisecting any angle was proposed in late Antiquity thanks to the development of Euclidean Geometry.

The question of double the cube was investigated by Egyptians, Indians and Greeks in antiquity without any success. This question cannot be solved by compass and straightedge according to conclusions of French mathematician Pierre Wantzel in 1.837.

Hence, doubling the cube was the most famous impossible problem from Greek antiquity. (Answer: B)

Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

Length of the fence = 40 ft

Step-by-step explanation:

As the yard for the pet is square shaped with area 100 sq. ft, length of each side is given by  

             \(\sf side =\sqrt{area}\\\\ side = \sqrt{100}\)

                    = 10 ft

Perimeter:

          Perimeter of square = 4 *side

                                             = 4 * 10

                                              = 40 ft

The perimeter of the trapezoid is given as follows:

44 cm.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The missing side is a side of a right triangle, in which the other side is of 18 - 10 = 8 cm, while the hypotenuse is of 10 cm, hence:

8² + h² = 10²

64 + h² = 100

h² = 36

h = 6.

Hence the perimeter is given as follows:

P = 18 + 10 + 10 + 6 = 44 cm.

The trapezoid is given by the image presented at the end of the answer.

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Answer:

10 square inches

Step-by-step explanation:

\(area \: formula \: = \frac{1}{2} bh\)

h= 5 inches

b= 4 inches

\( \frac{1}{2} \times 4 \times 5 = 10\)

Hi, I already answered this question on your other post (seems like you posted this question twice): https://brainly.com/question/26075347 (check that link out)

9514 1404 393

Answer:

  the correct answer is 47

Step-by-step explanation:

You are correct down to the part where you're adding the numbers.

  50 -10 +7 = 40 +7 = 47

__

The sign of the 7 is positive. The minus sign only applies to 10.

_____

Additional comment

Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...

  (50 +7) -(10) = 57 -10 = 47

answer 1 :

3 ( r + (d - 2(r - d^2)))

answer 2 :

-6d^2 + 3d - 3r

Answer:

Step-by-step explanation:

Answer:

(x+8)

Step-by-step explanation:

Factor by grouping to get:

(x+8)(x-3)

and

(x+3)(x+8)

Answer:

a = 97° (corresponding angle with marked 97°)

c = 59° (corresponding angle with marked 59°)

b = 180° - 97° = 83° (linear pair)

d = 180° - 59° (c) = 121° (linear pair)

____________

Hope it helps ⚜

Answer:

angle a = 97º

angle b = 83º (97º*2 = 194, 360 - 194 = 166, 166/2 = 83º)

angle c = 59º

angle d = 121º (59º*2 = 118, 360 - 118 = 242, 242/2 = 121º)

no need to pay me ahahaha

Answer:

1 minute and 75 seconds

Step-by-step explanation:

you take 4 and divide it by 7 minutes there for getting 1.75

Answer: Number 2

Step-by-step explanation: yes

Answer:

Step-by-step explanation:

Equation of the line has been given as,

\(y=\frac{3}{2}x-5\)

By comparing this equation with the y-intercept form of the equation,

y = mx + b

Slope of the line 'm' = \(\frac{3}{2}\)

and y-intercept 'b' = -5

Table for the points to be plotted on a graph will be,

x              y

-4           -11

-2           -6

0            -5

2            -4

4            -3

By plotting y-intercept (0, -5) and any one of the points given in the table we can get the required line.

Answer: actually the answer to this question is (0, -5) and ( 2, -2)

Step-by-step explanation: I just took the test on Plato and got it right :)

Answer:

The answer is .B

Step-by-step explanation:

Hope this can help you !

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

Answer:

The calculated χ² =   0.842   does not  fall in the critical region χ² ≥  5.99  so we accept the null hypothesis that all the proportions  are  equal and there is not enough evidence to doubt the supermarket's claim.

Step-by-step explanation:

1) We set up our null and alternative hypothesis as

H0: p1= 5/18, p2=  4/18, p3= 9/18

against the claim

Ha:  p1≠ 5, p2≠  4, p3≠ 9

2) the significance level alpha is set at 0.05

3) the test statistic under H0 is

χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency

which has an approximate chi square distribution with  2 d.f

4) Computations:

Observed            Expected      χ²= ∑ (O - E)²/ E

5                            5.4               0.0296

4                            5.4                0.3629

9                            7.2               0.45                        

∑                                                 0.842            

5) The critical region is χ² ≥ χ² (0.05)2 = 5.99

6) Conclusion:

The calculated χ² =   0.842   does not  fall in the critical region χ² ≥  5.99  so we accept the null hypothesis that all the proportions  are  equal and there is not enough evidence to doubt the supermarket's claim.

The points which represents a the solution are: A, C, D and K

What are coordinates?

Coordinates can be defined as the ordered pairs in which it is used to locate any points in 2D.

The given inequalities:  y ≤ −2x + 10 & y > 1/(2x − 2)

The given points: A(-5,4), B(4,7), C(-2,7), D(-7,1), E(4,-2),

F(1,-6), G(-3,-10), H(-4,-4), I(9,3), J(7,-4) and K(2,3).

The attached figure represents the graph of the given inequalities.

The shaded area represents the solution of the inequalities.

So, the points lies in the shaded area represents the solution of the inequalities.

So, points A, C, D and K are a solution to the system of inequalities.

Note only if

If the given inequalities:  y ≤ −2x + 10 & y > (1/2x) - 2

It will be the same solution.

Hence, The  points A, C, D and K are a solution to the system of inequalities.

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Answer:

t = time in years

p(t) = population at time t

\(p(t) = 500000( {1.043}^{t} )\)

\(p(10) = 500000( {1.043}^{10}) = 761751 \)

Answer:

C.   AB=10.56, BC=7.68

Step-by-step explanation:

AB) 8.8x7.32÷6.1=10.56

BC) 6.4x7.32÷6.1=7.68

The inequality is graphed and attached

There are some points that help in interpreting inequality graphs.

the x values are also called the domain lets assume -4 0 4. this is substituted into the equation 3x - 2y > 2 to get the values in the y direction.

3x - 2 > y

y < 3x - 2

for x = -4

y < 3 * -4 - 2 = -14

for x = 0

y < 3 * 0 - 2 = -2

for x = 4

y < 3 * 4 - 2 = 10

table of values

x      y

-4   -14

0     -2

4     10

y < 3x - 2 is the equation

Then use of dashed lines of dashed lines or solid lines

dashed lines means there is no equality sign in the inequality > OR < hence used for the problem

solid line means there is equality in the inequality  ≤ OR ≥

Another part is the shaded portion

shading above the line defines greater than shading below the line defines less than. The equation has less than and the shading is below the line

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Answer:

1/5

Step-by-step explanation:

5 out of 25 reduces to 1 out of 5

I'm guessing the equation is supposed to read

\(\tan\left(\dfrac{5\pi}7 x\right) + \sqrt3 = 0\)

Move the constant term to the other side:

\(\tan\left(\dfrac{5\pi}7 x\right) = -\sqrt3\)

Take the inverse tangent of both sides:

\(\tan^{-1}\left(\tan\left(\dfrac{5\pi}7 x\right)\right) = \tan^{-1}\left(-\sqrt3\right) + n\pi\)

(where n is an integer)

\(\dfrac{5\pi}7 x = - \tan^{-1}\left(\sqrt3\right) + n\pi\)

Since tan(π/3) = √3, we get

\(\dfrac{5\pi}7 x = -\dfrac\pi3 + n\pi\)

and solving for x gives

\(\boxed{x = -\dfrac7{15} + \dfrac{7n}5}\)