Write the number 0.099 in scientific notation.

The slope of the line from the table above is equal to -3.

The y-intercept for the line represented by the table is equal to 7.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (2 - 11)/(1 - (-2))

Slope, m = (-9)/3

Slope, m = -3.

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

In this context, the y-intercept of the linear function for the second table is 7.

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Answer:

Here’s the graph

Step-by-step explanation:

The equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:

y = (-3/4)x + 13/2

The correct answer is: Option C: y - 2 = -3/4(x - 6).

Here, we have to find the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1), we first need to find the slope (m) of the line using the formula:

\(m = (y_2 - y_1) / (x_2 - x_1)\)

where \((x_1, y_1) = (6, 2) ; (x_2, y_2) = (10, -1)\).

m = (-1 - 2) / (10 - 6)

m = (-3) / 4

Now that we have the slope (m), we can use the point-slope form of the equation of a line:

\(y - y_1 = m(x - x_1)\)

Using the point (6, 2):

y - 2 = (-3/4)(x - 6)

Now, simplify the equation:

y - 2 = (-3/4)x + 9/2

Finally, move -2 to the other side to get the equation in the point-slope form (y = mx + b):

y = (-3/4)x + 9/2 + 2

y = (-3/4)x + 9/2 + 4/2

y = (-3/4)x + 13/2

So, the equation of the line in point-slope form that matches the graph passing through the points (6, 2) and (10, -1) is:

y = (-3/4)x + 13/2

The correct answer is: Option C: y - 2 = -3/4(x - 6).

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complete question:

missing graph is attached:

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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b. normal distribution.  As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution.

Explanation:

As the sample size becomes larger, the sampling distribution of the sample mean approaches a normal distribution. This concept is known as the Central Limit Theorem, which states that the distribution of sample means approximates a normal distribution as the sample size increases, regardless of the population's distribution.

The Central Limit Theorem states that as the sample size increases, the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution from which the samples are drawn. This is true for any population distribution, including those that are not normally distributed.

The binomial distribution, chi-square distribution, and Poisson distribution are all probability distributions with specific characteristics and are not necessarily related to the sampling distribution of the sample mean. However, the normal distribution is often observed as an approximation to the sampling distribution of the sample mean when the sample size is large, making option b, "normal distribution," the correct answer.

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Answer:

a + 5b - 7c

Step-by-step explanation:

Let the number to be added by X

then,

a - 2b + 3c + X = 2a + 3b - 4c

X =  a + 5b - 7c

All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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a) We must solve the following compound inequality:

1) From the first inequality we have:

2) From the second inequality we have:

So we have that the compound inequality is equivalent to:

Which can be written as:

b) Graph of the compound inequality:

Answer

a. x < -6, x ≥ -1

b. Graph

To graph the points, plot each point on a coordinate plane with the x-coordinate on the horizontal axis and the y-coordinate on the vertical axis. See the attached graph.

To find the slope of each segment, use the formula:

slope = (change in y) / (change in x)

FG: slope = (2 - (-2)) / (-2 - (-4)) = 1

GH: slope = (3 - 2) / (4 - (-2)) = 1/2

HJ: slope = (-1 - 3) / (2 - 4) = -2

JF: slope = (-1 - (-2)) / (2 - (-4)) = 1/2

The sides FG and JF have the same slope of 1/2. The sides GH and HJ have opposite reciprocal slopes of 1/2 and -2, respectively.

None of the sides have the same length.

To find the perimeter of the polygon, add up the lengths of the sides:

FG: distance = √((2 - (-2))^2 + (-2 - (-4))^2) = 4.47

GH: distance = √((3 - 2)^2 + (4 - (-2))^2) = 6.08

HJ: distance = √((-1 - 3)^2 + (2 - 4)^2) = 4.47

JF: distance = √((-1 - (-2))^2 + (2 - (-4))^2) = 6.08

Perimeter = FG + GH + HJ + JF = 4.47 + 6.08 + 4.47 + 6.08 = 21.10

Therefore, the perimeter of the polygon is 21.10 units.

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Answer:

14 pints are  in 28 cups

Step-by-step explanation:

Answer:

14 pints in 28 cup

Step-by-step explanation:

Answer: P ( 3, 2.5)

Step-by-step explanation:

Point M is located at ( -3, 2.5)

When we reflect across the x-axis, the x will be the opposite and the y stay the same.

So Point P will be at ( 3, 2.5)

The area of the region common to the interiors of the cardioids r = 1 + cosθ and r = 1 - cosθ is (π + 2)/4.

We can find the area of the region common to the interiors of the cardioids by setting the two equations equal to each other and solving for θ. This will give us the values of θ that define the boundaries of the region. We can then integrate the area enclosed between the two curves over those boundaries.

1 + cosθ = 1 - cosθ

2cosθ = 0

cosθ = 0

θ = π/2, 3π/2

So the boundaries of the region are θ = π/2 and θ = 3π/2.

To find the area of the region, we can integrate the area enclosed between the two curves over these boundaries:

A = 2 ∫[0, π/2] (1 + cosθ) / 2 × dθ

Note that we multiply by 2 to account for the area in the other half of the region, between θ = 3π/2 and θ = 2π, which is symmetric.

Simplifying the integrand:

A = ∫[0, π/2] (1 + cosθ) / 2 × dθ

= (1/2) ∫[0, π/2] (1 + cosθ) dθ

= (1/2) (∫[0, π/2] dθ + ∫[0, π/2] cosθ dθ)

Evaluating the integrals:

A = (1/2) (θ ∣[0, π/2] + sinθ ∣[0, π/2])

= (1/2) (π/2 + sin(π/2) - 0 - sin(0))

= (1/2) (π/2 + 1)

= (π + 2) / 4

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Answer:

Llo nose swim is the trail in the foot ball on the ground and the feet on the sides of the ground and the water in the water and the war is in the water and the water and water in

The Total time for the manufacturing process is T = 26x, where T is the total time and x is the number of units produced.

In manufacturing a product, a four-step process is used. The first resource takes 8 minutes per unit, the second takes 7 minutes per unit, the third takes 6 minutes per unit, and the fourth takes 5 minutes per unit. To calculate the total time for the product manufacturing process, the following steps must be taken.

Step 1: Determine the longest time taken by a single resource. This is 8 minutes since the first resource takes the longest time.

Step 2: Multiply the time taken by the first resource by the number of units to be manufactured to get the total time for the first step. Assume the total units produced is x, therefore the time for the first step is 8x.

Step 3: Add the time taken by the second resource to the time taken by the first resource. This gives the total time taken for the first and second steps.

Therefore, the time taken by the first and second resources is 8x + 7x = 15x.Step 4: Add the time taken by the third resource to the time taken by the first and second resources.

This gives the total time taken for the first three steps. Therefore, the time taken by the first three resources is 8x + 7x + 6x = 21x.Step 5: Add the time taken by the fourth resource to the time taken by the first three resources. This gives the total time taken for all four steps.

Therefore, the total time taken is 8x + 7x + 6x + 5x = 26x.

Hence, the formula for calculating the total time for the manufacturing process is T = 26x, where T is the total time and x is the number of units produced.

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Answer:

y=5/3x

Step-by-step explanation:

since the line crosses the y intercept at 0, nothing needs to be there. The 5/3 is from rise/run, so 5 up and 3 right

Answer:

a. y = 5/3x

Step-by-step explanation:

Since the line passes through the origin, there is no y-intercept so we can eliminate B and D. Now let's find two points on the graph;

(-3, -5) and (0, 0)

Find the slope using the formula [ y2-y1/x2-x1 ]

0-(-5)/0-(-3)

5/3

Input this into the slope-intercept form expression and we have our answer.

y = 5/3x

Best of Luck!

Answer:

-------------------------

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

The form of the verb in the sentence is gerund. Option A

We know that the verb has to do with an action word or a doing word. The term shows that the verb is the part of speech that you can use to be able to show an action that has taken place, is taking place or have taken place in the past.

In the case of the problem that we have here, the sentence that is in view is; "We went exploring on the nature trail near our house." The verb here has -ing thus it can be classified as a gerund.

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Answer:  The geometric series is convergent and the value is 16.

Step-by-step explanation:

How to illustrate the information?

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum 4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

The equation which is used to determine the cost of the juice bottle is $5.89 = $3.43 + 6x and the cost of each juice bottle is $0.41.

As given in the question,

Cost of a bag of oranges is equal to $3.43

Let 'x' be the cost of each juice of bottle

Number of pack of bottles bought by Eli is equal to 6

Total cost Eli paid for the snacks before tax = $5.89

Equation used to represent the relation of above given data:

$5.89 = $3.43 + 6x

⇒ 6x = 5.89 - 3.43

⇒ 6x = 2.46

⇒ x = 2.46 / 6

⇒ x = $0.41  for each bottle of juice

Therefore, the equation used to determine the cost of each bottle of juice is equal to $5.89 = $3.43 + 6x and the cost of each bottle is  $0.41.

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Answer:5.67* 10^7

Step-by-step explanation:

Answer: is 48 eggs .

Step-by-step explanation:

3 hens gives 3 eggs in 3 days

Therefore , 1 gives 1 egg in 3 days

So

3days = 1egg

After that 12 days\/3 times = 4 eggs (in 12 times )

So 1 hen offers 4 eggs in 12 days after that

12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)

A palindrome is a number that can when read from right to left and from left to right is the same number.

The next palindromic date after 2023 is:

03-02-2030

We know that an example of a palindromic date is:

12-02-2021

Basically, the number is the same one if we read it from the left than if w read it from the right.

We now want to find a palindromic date in 2023.

Writing that in inverse order we get 32-02

There aren't 32 months, so we can ignore that.

The next year we will have a palindromic date is in 2030, writting that in inverse order and in the month-day notation, we get:

03-02

This is the second day of March.

Then the next palindromic date is 03-02-2030

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Answer:

Let's denote the total cost as C and the number of hours as h. The equation to model this relationship can be written as:

C = 5 + 0.25(h - 2)

The first part, 5, represents the flat rate for 2 hours or less. The second part, 0.25(h - 2), represents the additional hours beyond 2 hours, where each hour costs $0.25.

To calculate the cost of parking for 10 hours, we can substitute h = 10 into the equation:

C = 5 + 0.25(10 - 2)

C = 5 + 0.25(8)

C = 5 + 2

C = $7.00

Therefore, you would have to pay $7.00 to park for 10 hours.

To find out how many hours $10 will buy, we can set the equation equal to $10 and solve for h:

10 = 5 + 0.25(h - 2)

0.25(h - 2) = 10 - 5

0.25(h - 2) = 5

h - 2 = 5 / 0.25

h - 2 = 20

h = 20 + 2

h = 22

Therefore, $10 will buy you 22 hours of parking

Answer:

A: 2x10^15 cubic meters

Answer:

2*10^15 cubic meters

Answer:

C

Step-by-step explanation:

8x2= 16

8x3 = 24

24+16 =40

40/4 = 10

10-8 = 2

Answer:

Step-by-step explanation:

Two different fractions where lowest common denominator is 20 are 1/4 and 1/5.

What are the lowest common denominator?

For two or more fractions, if the numbers at the bottom (or denominator) by which the lowest number can be divide into, is called the lowest common denominator. It is also known as the least common denominator.

Here, 20 is the given lowest common denominator. 

Therefore, we can write: 20 = 1 × 20, 20 = 2 × 10, 20 = 4×5

Hence, two fractions for which 20 can be a lowest common denominator are 1/4 and 1/5.

Hope it helps!

Answer:

93

Step-by-step explanation:

87 + x = (90*2)

87 + x = 180

x = 180-87

x = 93

Answer:

93

Step-by-step explanation:

Answer:

the answer is 24

Step-by-step explanation:

hoped I helped:)

The value of the expression for x=8 is 24

In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions

Given here: The expression as 7a-4a

Now combining the like terms we get

7a-4a=3a

for a=8

we have

3a=3×8

   =24

Hence, The value of the expression for x=8 is 24

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