How do I calculate the answer for create a pattern with the the rule n* 2 + 1 =

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Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

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Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

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Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

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Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

The campsite would be 65 m by 65 m. 65 x 65 = 4,225. Another way to put it (and the way to figure it out) is that the square root of 4,225 is 65.

Step-by-step explanation:

The highest value you would still hold the stock is $23.97

From the question, the given parameters about the distribution are

Mean value of the set of data = $26.94

Standard deviation value of the set of data = $3.54

Proportion = Highest 20%

This means that the p value is

p = 20%

Express as decimal

p = 0.2

At a p value of 0.2, the z-score is

z = -0.84

The z-score of the data value is calculated using the following formula

z = (x - mean value)/standard deviation

Substitute the given parameters in the above equation

-0.84 = (x - 26.94)/3.54

Cross multiply in the above equation

So, we have

x - 26.94 = -0.84 * 3.54

Evaluate the products

x - 26.94 = -2.97

Add 26.94 to both sides of the equation

So, we have the following representation

x = 26.94 -2.97

Evaluate the difference

x = 23.97

Hence, the highest value is 23.97

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The solution to the equation sqrt 2-3x / sqrt 4x = 2 is x = -2/3.

To solve the equation, we must first clear the denominators and simplify the equation. We can do this by multiplying both sides by sqrt(4x) and then squaring both sides. This gives us:
sqrt 2-3x = 4sqrt x
2 - 6x + 9x² = 16x
9x² - 22x + 2 = 0
Using the quadratic formula, we can find that x = (-b ± sqrt(b² - 4ac)) / 2a. Plugging in a = 9, b = -22, and c = 2, we get:
x = (-(-22) ± sqrt((-22)² - 4(9)(2))) / 2(9)
x = (22 ± sqrt(352)) / 18
x = (22 ± 4sqrt22) / 18
Simplifying this expression, we get:
x = (11 ± 2sqrt22) / 9
Therefore, the solution to the equation is x = -2/3.
To solve the equation sqrt 2-3x / sqrt 4x = 2, we must clear the denominators and simplify the equation. This involves multiplying both sides by sqrt(4x) and then squaring both sides.

After simplifying, we end up with a quadratic equation. Using the quadratic formula, we can find that the solutions are x = (11 ± 2sqrt22) / 9.

However, we must check that these solutions do not result in a division by zero, as the original equation involves square roots. It turns out that the only valid solution is x = -2/3.

Therefore, this is the solution to the equation.

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Answer:

=x^-2

Step-by-step explanation:

Answer:

I cant see the question v well

Step-by-step explanation:

These are expression written as a function of sine, cosine and tangent. The value of x from the given function is 4.29

Trigonometry expression

These are expression written as a function of sine, cosine and tangent.

Given

tanx² - 1/3 = 0

Add 1/3 to both sides

tanx² - 1/3 + 1/3 = 0 + 1/3

tanx² = 1/3

x² = arctan(1/3)

x² = 18.44

x =4.29

Hence the value of x from the given function is 4.29

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Answer:

A. 2^11

Step-by-step explanation:

(They are basically asking what's 2^4 × 2^7, but with more words.)

I usually do each exponent individually:

2^4 is the same as 2 × 2 × 2 × 2 = 16 (or you could have read the text to figure that out)

2^7 is the same as 2 × 2 × 2 × 2 × 2 × 2 × 2 = 128

Then just multiply 128 and 16 to get 2,048, and see which option also gives you 2,048.

BUT, you can also:

(Combine the exponents together to get your answer. Just remember that if it's multiplication you add them, and if it's division you subtract them.)

2^4 × 2^7

4 + 7 = 11

2^11 (This equals 2,048 btw. You don't even have to check all the options to get the answer).

Hope this helps friend :)

The last part I learned from another user, while answering one of your other questions. I personally find this mind blowing, lol.

Answer:

6 : 32

7 : 7

8 : 6 + 8 ÷ ( 2 + 2 )

9 : ( 10 - 4 ) * 7 + 5

Hope this helps!

Step-by-step explanation:

6 : ( 5*4 ) + ( 2*6 ) = 20 + 12 = 32

7 : 37 - ( 9*3 ) - 3 = 37 - 27 - 3 = 10 - 3 = 7

8 : 6 + 8 ÷ ( 2 + 2 ) = 6 + 8 ÷ 4 = 6 + 2 = 8

9 : ( 10 - 4 ) * 7 + 5 = 6 * 7 + 5 = 42 + 5 = 47

The total width of the craft project is an illustration of products

The total width is 77.4 inches

The given parameters are:

Number of pieces = 12

Width of each piece = 6.45

The total width is the product of the number of pieces and the width of each piece.

So, we have:

Total = 12 * 6.45 in

Evaluate

Total = 77.4 in

Hence, the total width is 77.4 inches

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Answer:

Step-by-step explanation:

The value of x = 2nπ,  (n ∈ Z) and

\(x=2(n\pi+(-1)^{n} \pi /6)\),  (n ∈ Z)

What are Trigonometric Identities?

Trigonometric Identities are useful whenever trigonometric functions are involved in an expression or an equation. Trigonometric Identities are true for every value of variables  being on both sides of an equation. Geometrically, these identities involve certain trigonometric functions(  similar as sine, cosine, tangent ) of one or  further angles.

According to question

⇒ sin(x/2) + cos(x) - 1 = 0

⇒ sin(x/2) + cos(x) - 1 = 0

{ cos(2x) = 1 - 2sin²(x) }

cos(x) = 1 - 2sin²(x/2)

⇒ sin(x/2) + cos(x) - 1 = 0

⇒ sin(x/2) + 1 - 2sin²(x/2) - 1 = 0

⇒ - 2sin²(x/2) + sin(x/2) + 1 - 1 = 0

⇒ - 2sin²(x/2) + sin(x/2)  = 0

⇒ sin(x/2)(- 2sin(x/2) + 1)  = 0

⇒ sin(x/2) = 0 , x = 2nπ (n ∈ Z)

and

⇒ sin(x/2) = 1/2 , \(x=2(n\pi+(-1)^{n} \pi /6)\) (n ∈ Z)

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Answer:

Your answer would be 5x+5

well, he has left only 6 oz.

now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)

Answer:

8

Step-by-step explanation:

Answer:

-x-9

Step-by-step explanation:

-1(x+9)

(-1)(x) + (-1)(9)

(-x) + (-9)

-x-9

Answer:

-9x

Step-by-step explanation:

(x+9)=(9x) and then

9x x -1

-9x is the answer

Answer:

2

Step-by-step explanation:

2

Answer: There is two terms.

3x is a term and so is 2

Step-by-step explanation:

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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Answer:

Step-by-step explanation:

\( \csc \: x = \frac{1}{ \sin \: x } \\ \csc(0) = \frac{1}{ \sin(0) } \\ if \: \sin(0) = 0.788 \: so \\ \csc(0) = \frac{1}{0.788} \\ \\ \csc(0) = 1.27\)

Thanks for this question :)

Answer: 1.27

I hope that helps!!

Answer:

1222222

Step-by-step explanation:

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

g(x) = 2x + 1

Step-by-step explanation:

f(x)= 3x - 5 when it is translated 6 units up

Translating a function a units is adding a to the function. So

\(3x - 5 + 6 = 3x + 1\)

Horizontal stretch by a factor of 3/2.

This means that \(g(x) = f(\frac{2x}{3})\), that is. So

\(g(x) = 3(\frac{2x}{3}) + 1 = 2x + 1\)

Then

g(x) = 2x + 1

We get the values of RS and RT as 6 and 17 respectively after solving the equations.

We are given the equations:

RS = 2x - 8

ST = 11

RT = x + 10

Now, we know that:

RS + ST = RT.

Substituting the values, we get that:

2 x - 8 + 11 = x + 10

2 x + 3 = x + 10

2 x - x = 10 - 3

x = 7

Now substituting it to find RS and RT:

RS = 2 x - 8

RS = 2 ( 7 ) - 8

RS = 14 - 8

RS = 6

RT = x + 10

RT = 7 + 10

RT = 17

Therefore, we get the values of RS and RT as 6 and 17 respectively after solving the equations.

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Answer:

23,29,31,37.

....................

Answer:

Step-by-step explanation:

length of blanket × width of blanket = (2a + 1)(a) = 2a2 + a.

Since we’re told the area covered by the blanket is 28 square feet, we know that

2a2 + a = 28.

To solve this equation, we need to rearrange the terms so that we have a polynomial set equal to 0:

2a2 + a – 28 = 0.

Then we factor:

(2a – 7 )(a + 4) = 0.

The two solutions to this equation are a = 3.5 and a = -4. a = -4 sure doesn’t make sense, because we can’t have a blanket that’s -4 feet wide. That won’t cover even one of Janna’s toes. The blanket must be 3.5 feet wide.

To find the length, we plug the width 3.5 in for a in the expression 2a + 1. The length of the blanket is

2(3.5) + 1 = 8 feet

We can easily check our answers by multiplying the width and length of the blanket, and seeing if we do end up with 28.

(3.5)(8) = 28