***WORTH 30 POINTS ** [ the sum of x and 16 is greater than or equal to 32? ]

The probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin is 3/49.

To find the probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin, we need to multiply the probabilities of each event happening independently.

Step 1: Find the probability of landing on a blue section on the first spin.

There is 1 blue section out of 7 total sections, so the probability is 1/7.

Step 2: Find the probability of landing on a red section on the second spin.

There are 3 red sections out of 7 total sections, so the probability is 3/7.

Step 3: Multiply the probabilities from step 1 and step 2.

(1/7) * (3/7) = 3/49.

So, the probability of the spinner stopping on a blue section on the first spin and then a red section on the second spin is 3/49.

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Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

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Answer:3 one

Step-by-step explanation:

A triangle having an area of 142. 74 ft^2 and a height of 18. 3 ft, has a base of 15.6 ft.

What is the area of a triangle?

In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.

The area of the triangle is 142.74 ft^2.

The height of the triangle is 18.3 ft.

Let the base of the triangle be x.

The formula for area of a triangle is -

Area = (height × base)/2

Plugging in the values in the equation -

142.74 = (18.3 × x)/2

142.74 = 18.3x/2

18.3x = 285.48

x = 285.48/18.3

x = 15.6

Therefore, the base of the triangle measures 15.6 ft.

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Answer:

Questoin:

1. Ecosystems contain producers, consumers, and decomposers. Which list below includes an example of each?

fungus, chipmunk, fox

dandelion, squirrel, bacteria

cricket, beetle, woodpecker

maple tree, blue jay, hawk

2. Which list below shows the correct path of energy flow through a food chain?

carnivore>herbivore>decomposer>producer

herbivore>producer>decomposer>carnivore

producer>herbivore>carnivore>decomposer

producer>carnivore>decomposer>herbivore

3. Consider the energy pyramid. Which statement best summarizes what happens to energy as it flows through the food chain?

The amount of energy transferred between trophic levels decreases up the food chain

The amount of energy transferred between trophic levels increases up the food chain.

The amount of energy transferred between any two trophic levels of a food chain is the same.

The amount of energy at each trophic level of a food chain is independent of the other levels

Step-by-step explanation:

Answer:

the answer is true!!!

hope this helped :D

Answer:

-2 + 25

Step-by-step explanation:

2 times -1 = -2

5 times 5 = 25

Answer:

the 3rd answer

Step-by-step explanation:

Step-by-step explanation:

Perimeter= 2( length+ width)

l= w+ 3

perimeter= 2(w+3+w)

30= 4w +6

4w= 24

w= 6

width = 6m

length = 6+3 = 9 m

11

Step-by-step explanation:

Perimeter= 2( length+ width)

l= w+ 3

perimeter= 2(w+3+w)

30= 4w +6

4w= 24

w= 6

width = 6m

length = 6+3 = 9 m

When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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The simplified form of the expression is 5x + 15

From the question, we are to simplify the given expression

The given expression is

3(x+5)+2x

Simplifying the expression

3(x+5)+2x

First, clear the bracket by distributing 3

3×x + 3×5+2x

3x + 15 + 2x

Collect like terms

3x + 15 + 2x

3x + 2x + 15

Simplify further

3x + 2x + 15

5x + 15

Hence, the simplified form of the expression is 5x + 15

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

3 also greece needs to chill on the sweets

Step-by-step explanation:

Answer:

3

steps

a quarter of 12 is 3

Answer:

stem and leaf plot

Step-by-step explanation:

you can't find the range from a stem and leaf plot

Answer:  ruler cost $12

Step-by-step explanation:

step 1

Let cost of ruler  be represented as r

and cost of pencil be represented as p

we were given that

4 rulers and a pencil and these cost the same as 2 rulers and 4 pencils which is expressed as

4r + p = 2r+ 4p

and cost of pencil= $8

therefore

sTEP 2--- Solving

4r+ 8 = 2r+ 4 x8

4r+ 8 = 2r+ 32

4r - 2r= 32-8

2r= 24

r= 24/2 = r= $12

To have a horizontal asymptote at y = 3 and vertical asymptotes at x = 4 and x = -3, the rational function should have the following form:

f(x) = (a polynomial in x) / ((x - 4)(x + 3))

The polynomial in the numerator can have any degree, but it must be of lower degree than the denominator.

Therefore, among the given rational functions, the one that satisfies these conditions would be the one in the form:

f(x) = (a polynomial) / ((x - 4)(x + 3))

Please provide the specific options you have, and I can help you determine which of those options matches this form.

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Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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Answer:

6

Step-by-step explanation:

If you divide 54 in 9 parts it will come out to 6, to check this work divide 54 by 6.

6

Step-by-step explanation:

First you would turn it into a decimal to get .111 repeating then you would multiple it by 54 to get 5.99 repeating do you would round up to get 6

Firstly we will analyze the question statement to determine the best possible answer.

So, the statement tells us about a person named Natalie,, the owner of an App designed for teenagers. Currently, the New Mindfulness app has One thousand two hundred and sixty-two downloads. Natalie sets a target to take her App downloads to double every month.

We are expected here to provide her with the best possible exponential equation to make her achieve the set goal.

We can use two variables for our exponential equation:

y for the number of downloads.

And x for the months.

We can use any value (Whole numbers, decimals, or fractions) in our exponential equation.

Now while keeping in mind all the necessary details, we can make the exponential equation as below:

Y= 1262 (2 x b) ^ x

Where Y are the downloads

X= 1 month or 30 days

By putting the values:

Y=1262 (2) ^ 1 month

Y=2524 after one month

So, the total number of downloads will double using the above exponential equation.

The pictures below show a relationship between the number of downloads Y and the month X.

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Answer: 1262(2)^x

Step-by-step explanation:

Answer:

5,022 Students

Step-by-step explanation:

All you have to do it multiply!

Like so:

81*62= 5,022

Answer:horizontal stretch of 3

Step-by-step explanation:

Answer:

4.2 x 10^10

Step-by-step explanation:

2.8 x 10^8 x 1.5 x 10^2 = 4.2 x 10^10

Answer: x = 126

Step-by-step explanation:

We know that 50% of 120 is 60. So, to increase 120 by 50%, we add 60. This gets us 180. Next, we find 30% of 180. This is 54. So, we subtract 54 from 180. So, x = 126

Answer:

See picture & explanation below.

Step-by-step explanation:

The scale is 1:2, so everything is doubled in size.

Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.

See the picture below.

Answer:

33

Step-by-step explanation:

19+1 additional for each guest so there are 13 guests so 13+1= 14 so 14+19= 33

hope this helps or maybe it could be that you have to times it so here it is.

          13 times 1 = 13 so we still have 19 so 19+13= 32 but i think it is 33 trust me. :) tell me if this was right thx.

The equation of the exponential function is f(x) = 3(2)ˣ

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

The graph

From the graph, we can see that

x            f(x)

0             3

1              6

2             12

This show that as x increases by 1, the function f(x) values increases by a constant factor

This means that

The function is a growth function and the rate of growth is calculated as

Rate = 6/3

Evaluate

Rate = 2

From the graph, we have

Initial value = when x = 0

So, we have

Initial value = 3

So, the function is f(x) = 3(2)ˣ

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Answer:

Step-by-step explanation:

the slope-International cept frome y= mx + b was where m is the slope and b y-intercept

y=mx +b

m= -2/5

b=2

slope is :2/5

y-intercept is :2

x.   y  

0.  2

1    8/5

Answer:

Step-by-step explanation:

perp. -5/2

y + 2 = -5/2(x - 2)

y + 2 = -5/2x + 5

y = -5/2x + 3

Answer:

x = 4 , y = 5.65

Step-by-step explanation:

Answer:

Y=1/3x+5

Step-by-step explanation:

I hope it help you