please help me solve this, I got: pi/2, 4pi/3, and 5pi/3. maybe i'm missing a solution or didn't eliminate one properly? because it was wrong. thank you for any help!

Answer:

400%

Step-by-step explanation:

20-16=4

4*100%=400%

Answer:

13/20

Step-by-step explanation:

Answer:

65/100

Step-by-step explanation:

65/100 because if you try to divide it by 2 u get 32.5

Answer:

Side AC corresponds to side FD

Angle BAC corresponds to angle BFD

The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer: C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

What is a dilation?

A dilation is a type of transformation that resizes an object.

To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor

Applying the dilation rule

We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2

Current coordinates of the triangle :

Coordinates after dilation

A' = (1,1) ===> (1×2,1×2) ===> (2,2)

B' = (1,3) ===> (1×2,3×2) ===> (2,6)

C' = (3,1) ===> (3×2,1×2) ===> (6,2)

The coordinate of the vertex B after the dilation is (2,6)

The values that used to create the box and whisker plot

[using these values]

Minimum value: Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

Here, we have,

Step 1: Order the data set from smallest to largest:

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Step 2: Calculate the lower quartile (Q1), median (Q2), and upper quartile (Q3):

Q1 (25th percentile): The value that separates the lowest 25% of the data from the rest. Since we have 10 data points, the first quartile will be the average of the 2.5th and 3.5th data points. In our case, it's the average of the 2nd and 3rd data points:

Q1 = (19 + 28) / 2 = 23.5

Q2 (50th percentile or median): The value that separates the lowest 50% of the data from the rest. Since we have an even number of data points, the median will be the average of the 5th and 6th data points:

Q2 = (34 + 38) / 2 = 36

Q3 (75th percentile): The value that separates the lowest 75% of the data from the rest. Since we have 10 data points, the third quartile will be the average of the 7.5th and 8.5th data points. In our case, it's the average of the 7th and 8th data points:

Q3 = (45 + 47) / 2 = 46

Step 3: Calculate the interquartile range (IQR):

IQR = Q3 - Q1 = 46 - 23.5 = 22.5

Step 4: Determine the whiskers:

Lower whisker: The smallest value that is not smaller than Q1 - 1.5 * IQR

Upper whisker: The largest value that is not larger than Q3 + 1.5 * IQR

Lower whisker limit: 23.5 - 1.5 * 22.5 = -10

Upper whisker limit: 46 + 1.5 * 22.5 = 79.5

Our data points are all within these limits, so the lower whisker is at the smallest value, 12, and the upper whisker is at the largest value, 56.

Now, you can plot the box and whisker plot using these values:

Minimum value : Lower whisker: 12

Q1: 23.5

Q2 (median): 36

Q3: 46

Maximum value: Upper whisker: 56

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create a box and whisker plot for the following set of data

12, 19, 28, 32, 34, 38, 45, 47, 50, 56

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

25y^2

Step-by-step explanation:

The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.

From the given Pythagoras theorem above, the mathematical representation of the theorem would be written below as follows;

C² = a²+b²

Where:

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Answer:

the answer woiuld be 60

Step-by-step explanation:

supplementary angles are 180

180-120=60

x=60

Answer:

1/40

Step-by-step explanation:

1/5 divided by 8= 1/5 times 1/8

1x1=1

5x8=40

the answer is 1/40

Answer:1/40

Step-by-step explanation:

I got it right

Properties of the logarithm: for any base of logarithm,

log(a*b) = log(a) + log(b)

If we replace b with 1/b, or b^-1, we have

log(a/b) = log(a) + log(1/b) = log(a) - log(b)

since

log(1/b) = log(b^-1) = - log(b)

using the power property of logarithms,

log(b^n) = n log(b)

Now,

ln35 = ln(5*7) = ln5 + ln7

ln(1/7) = - ln7

ln25 = ln(5^2) = 2 ln5

Putting everything together, we have

(ln35 + ln(1/7))/ln25 = (ln5 + ln7 - ln7)/(2 ln5) = ln5/(2 ln5) = 1/2

Answer:

8 divided by 1/4 = 2

12 divided by 1/4 = 3

more cows were put in the barn

Step-by-step explanation:

8 horses 1/4= 2

12 horses 1/4= 3

Answer:

Step-by-step explanation:

Variance of X = 9

Regression equations are

(*) 8x −10y + 66 = 0

(**) 40x −18y − 214 = 0

Find out the following missing results.

(i) The means of X and Y

(ii) The coefficient of correlation between x and y

(iii) The standard deviation of Y

Answer: x is 9

Step-by-step explanation:

Answer: \(x=0, -\frac{3}{2}\)

Step-by-step explanation:

\(4x^2 +6x=0\\\\2x(2x+3)=0\\\\2x=0, 2x+3=0\\\\x=0, -\frac{3}{2}\)

Step-by-step explanation:

Let x be the number of roses Mr Charles had cut from his garden.

After giving 10 roses to his neighbour, he has (x - 10) roses.

After giving half of the remaining roses to his niece, he has (x - 10)/2 roses left.

We are given that (x - 10)/2 = 14.

=> x - 10 = 28, x = 38.

Hence Mr Charles had cut 38 roses.

Answer:

Solving gives us the result, x = 2, y = -1

Step-by-step explanation:

The system of equations is,

y = 2x-5

y=-2x+3

equating the two equations, we get,

(since y = y)

\(2x-5 = -2x + 3\\4x -5 = 3\\4x = 3+5\\4x=8\\x=8/4\\x=2\)

and then since y = 2x-5

\(y=2(2)-5\\y=-1\)

so, x =2, y = -1

1) The volume of the first rectangular prism is 175 ft³

2) The volume of the second rectangular prism is 60ft³

3) The volume of the third rectangular prism 140ft³

4) The volume of the Fourth rectangular prism 216ft³

Note that in order to find the volume of area of a complex figure, you must deconstruct it into manageable proportions.

Shape 1 above, we deconstructed the rectangular prism into two 3 dimensional shapes with the following metrics:

a)

Length = 7ft

Height = 2ft

width = 2ft

Volume = Volume = 7ft x 2ft x 2ft

Volume = 28  ft³

b)

Length = 7ft

Height = 3ft

width = 7ft

Volume = 147 ft³

Total Volume = 28  ft³ + 147 ft³

Volume for Shape 1 = 175 ft³

In shape 2 above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 3ft

Height = 2ft

width = 1ft

Volume = 6 ft³

b) Length = 6ft

Height = 3ft

width = 3ft

Volume = 54 ft³

Thus, total volume for shape 2 is:

Volume = 6 + 54

Volume = 40 ft³

Shape 3, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 7ft

Height = 1ft

width = 2ft

Volume = 14ft³

b)

Length = 7ft

Height = 3ft

width = 6ft

Volume = 126ft³

Thus, the total volume for shape 3, =

Volume = 14ft³ + 126ft³

Volume = 140ft³

Shape 4, above, we deconstructed the rectangular prism into two 3-dimensional shapes with the following metrics:

a) Length = 4ft

Height = 3ft

width = 2ft

Volume = 24 ft³

b) Length = 4ft

Height = 12ft

width = 4ft

Volume = 192 ft³

Thus, the total volume for Shape 4:

Volume =  24 ft³+ 192 ft³

Volume = 216ft³

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The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8

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

-6x⁵ - 1/8 - x³

To rewrite polynomial in standard form, we order the powers in decreasing order

Using the above as a guide, we have the following:

-6x⁵ - x³ - 1/8

Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8

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The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Answer:

y = -3/2x +11

Step-by-step explanation:

First you have to change the equation from standard form to slope form.

y = mx + b

2x-3y=7 --> subtract 2x from both sides

-3y = -2x + 7 --> now divide both sides by -3 to get y by itself

y = 2/3x - 7/3  --> the reason 2/3x is positive is because when there are two negatives it turns to a positive.

now you have to use point slope form y - y1 = m (x - x1)

x1 and y1 would be your point. 2 is x1 and 8 is y1

y - 8 = -3/2 (x - 2) --> the reason that m is -3/2 is because a perpendicular equation is the opposite reciprocal of the original slope

next distribute the -3/2

y-8 = -3/2x + 3 --> and now add 8 to 3 to get why by it self

now you have y = -3/2x + 11

15.

then the correct option is a.20i+30

Answer:

The bottom numbers comes first and then the side

Step-by-step explanation:

If i had a graph and i was using gallons per hour i would put gallons on the bottom and hours on the side

Answer/Step-by-step explanation:

So, if there is line on the graph and we need to get its equation in slope-intercept for (y = mx+b where m is the slope and b is the y-intercept). First, we have to take two points that lie on that line. Then, we will use the slope formula (m = y2 - y1 / x2 - x1). Once we get the slope, we have to find the y-intercept aka the b - value in the equation. So, to find this we have to take one of the coordinate point (that lies on the graph and was used to find the slope) and the slope. When you get the b - value, you have to substitute that value and the slope value into the equation. This is how you can write an equation from a graph.

Ex. (2, 3), (4, 9)

m = 9 - 3 / 4 - 2

m = 6/2

m = 3        <--- This is the m value aka the slope

y = mx + b         (In this case, we will use the first point which is (2,3)).

3 = 3(2) + b

3 = 6 + b

b = -3

y = 3x -3

Hope this helps!