What is 5/8 - ( -7/8)=

Answer: third one I believe if not, then it might be the first one.

Step-by-step explanation:

Answer:

3:2

3 to 2

3/2

Step-by-step explanation:

24/16 reduces to 3/2.

Answer:

3/2  5/3 12/8

Step-by-step explanation:

The area of the indicated region bounded by y=7 and y=7/25x^2 is XXX square units.

To calculate the area using Green's Theorem, we need to express the region in terms of a curve. Green's states that closed the line Theorem line integral integral of over a a vector field around a closed curve is equal to the double integral of the curl of the vector field over the region bounded by the curve.

In this case, we can rewrite the given equations in terms of x and y to define the boundary of the region. The upper boundary is y=7, and the lower boundary is y=7/25x^2. To find the points of intersection between these two curves, we can equate them:

7 = 7/25x^2

Solving this equation, we find x = ±5. Now we have the boundaries of the region in terms of x values.

To express the region in terms of a line integral, we need to define a vector field F = (M, N). In this case, we can take M = 0 and N = x. Now we can apply Green's Theorem:

Area = ∬ D dA = ∮ C N dx = ∮ C x dx

To calculate the line integral, we need to parameterize the curve C that encloses the region. Since the region is bounded by two curves, we need to split the curve into two parts. Let's consider the upper curve C1: y = 7.

Parameterizing C1, we have:

x = t

y = 7, for t ∈ [5, -5]

Now we can calculate the line integral over C1:

∮ C1 x dx = ∫[5,-5] t dt = [t^2/2] evaluated from -5 to 5 = 25/2 - 25/2 = 0

Next, let's consider the lower curve C2: y = 7/25x^2.

Parameterizing C2, we have:

x = t

y = 7/25t^2, for t ∈ [-5, 5]

Now we can calculate the line integral over C2:

∮ C2 x dx = ∫[-5,5] t dt = [t^2/2] evaluated from -5 to 5 = 25/2 - 25/2 = 0

Since both line integrals are zero, the area of the region bounded by y=7 and y=7/25x^2 is 0 square units.

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The number round to the nearest hundredth according to the rules is 7.11.

The steps to round the digits to nearest hundredth are as follows -

Step 1 - Firstly read the number and analyse the number at the position hundredth. We see that 0 is present at the hundredth position.

Step 2 - Now check the number on the right hand side of the number. We see that it is 9.

Step 3 - If the number is greater than 5, then add one to the prior digit (the one at hundredth position).

Step 4 - Write the final number using above points. The number will be 7.11. The number 3 will be dropped as we are directed to shorten the number.

The rounded number is 7.11.

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A) The probability of drawing a blue, then a red is 0.125, B) the probability of drawing a red, then a white is 0.125, and C) the probability of drawing a blue, then a blue, then a blue is 0.016.

These probabilities were calculated using the basic principle of probability, where the probability of two independent events occurring together is equal to the product of their individual probabilities.

A) The probability of drawing a blue marble on the first draw is 2/8 = 1/4. The probability of drawing a red marble on the second draw is also 4/8 = 1/2. Therefore, the probability of drawing a blue marble followed by a red marble is (1/4) x (1/2) = 1/8, or 0.125 rounded to three decimal places.

B) The probability of drawing a red marble on the first draw is 4/8 = 1/2. The probability of drawing a white marble on the second draw is 2/8 = 1/4. Therefore, the probability of drawing a red marble followed by a white marble is (1/2) x (1/4) = 1/8, or 0.125 rounded to three decimal places.

C) The probability of drawing a blue marble on the first draw is 2/8 = 1/4. Since the drawing is done with replacement, the probability of drawing a blue marble on each subsequent draw is also 1/4. Therefore, the probability of drawing three blue marbles in a row is (1/4) x (1/4) x (1/4) = 1/64, or 0.016 rounded to three decimal places.

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The three equivalent expressions to 28xy + 16x are:

These expressions can be obtained by factoring out common terms from the original expression, resulting in equivalent expressions with the same values when evaluated.

For example, 4x(7y + 4) can be simplified to 28xy + 16x by using the distributive property. Similarly, 2(14xy + 8x) and 4xy(7 + 4) can also be obtained by factoring out common terms and rearranging the expression. Therefore, all three expressions are equivalent to the original expression, 28xy + 16x.

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Answer:

There are many expressions that are equivalent to 28xy + 16x, but here are three possible examples:

4x(7y + 4)

4(7xy + 4x)

8(3.5xy + 2x)

All three of these expressions follow the distributive property of multiplication over addition and simplify to 28xy + 16x.

Step-by-step explanation:

The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.

In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.

This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.

In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.

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First what I did was take out the 5 dollars. So I did 25 minus 5.

25 - 5 = 20

Next, I divide the left over 20 dollars by 1.25 to see how many tokens Marco could buy.

20 / 1.25 = 16

Which i came up with 16. So Marco can buy 16 tokens and still have enough money to use to buy lunch.

HOPE THIS HELPS! :)

Step-By-Step Explanation:

(5 + 7) + 6y

associative

because the brakets' spots changed

12 + 6y

combining

because they combined the same type of terms

6y + 12

commutative

because they changed the spots of the 2 terms

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Step 1:

The formula for the area of a hexagon can also be given in terms of the apothem as,

Area of hexagon

where 'a' is the length of the apothem and 'P' is the perimeter of the hexagon.

Step 2:

Length of the sides = 15 cm

Step 3:

Find the Apothem ' a '

Find each angle

Next

Angles 6 and 8 are adjacent, they are Linear pair οf angles.

Linear pair οf angles are fοrmed when twο lines intersect each οther at a single pοint. The angles are said tο be linear if they are adjacent tο each οther after the intersectiοn οf the twο lines. The sum οf angles οf a linear pair is always equal tο 180°. Such angles are alsο knοwn as supplementary angles.

Angles 1 and 4 are not adjacent, they are vertically opposite.

Angles 5 and 8 are not adjacent, they are vertically opposite.

Angles 6 and 8 are adjacent, they are Linear pair οf angles

Angles 1 and 5 are corresponding exterior angle, so the are not linear pair.

Thus, Angles 6 and 8 are adjacent, they are Linear pair οf angles

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Answer:

B

Step-by-step explanation:

thats the only one that can go on a number  line correctly, plz mark me brainiest

Answer:

A. 15

Step-by-step explanation:

trust me lol

hope this helped btw

Therefore, the estimated fox population in the year 2008 is 40689 using function.

Part (a) is answered correctly. The function P(t) represents the fox population in years after 2000, where t is the number of years. The formula for the function is obtained using the exponential growth model, where the initial population in 2000 is multiplied by the growth factor (1 + 0.04)^t.

(a) The function that models the fox population in years after 2000 is given by:

P(t) = 29700 * (1 + 0.04)^t, where t is the number of years after 2000.

For part (b), we substitute t = 8 into the function P(t) to estimate the fox population in the year 2008. We get P(8) = 29700 * (1 + 0.04)^8, which simplifies to P(8) = 40688.76. Since the answer should be an integer, we round the result to the nearest whole number and get 40689 as the estimated fox population in the year 2008.

(b) To estimate the fox population in the year 2008, we need to find P(8):

P(8) = 29700 * (1 + 0.04)^8 = 29700 * 1.369 = 40689 (rounded to the nearest integer)

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The statement ''the formula for finding the surface area of a cylinder is sa = πr2 πrh.'' is false because the formula for finding the surface area of a cylinder is given by: SA = 2πrh + 2πr^2 , where SA represents the surface area, r is the radius of the base, and h is the height of the cylinder.

The first term, 2πrh, represents the area of the curved surface of the cylinder (the lateral surface area), which is a rectangle that wraps around the cylinder. It is calculated by multiplying the height of the cylinder by the circumference of the base.

The second term, 2πr^2, represents the areas of the two circular bases of the cylinder.

By adding these two terms together, we obtain the total surface area of the cylinder.

Therefore, the correct formula for finding the surface area of a cylinder is SA = 2πrh + 2πr^2.

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Let A be a matrix with linearly independent columns. None of the above statements is not true. So the option G is correct.

In mathematics, a matrix can be thought of as a rectangular array of numbers, symbols, or expressions. Matrices are commonly used in linear algebra, which is the study of mathematical operations involving vectors and matrices.

Matrices are used to represent linear equations, and they can be used to describe transformations such as rotations and reflections. Matrices can also be used to represent graph theory data, and to represent systems of equations.

A matrix with linearly independent columns is one in which each column is not a linear combination of the other columns. In other words, the columns are all independent from each other and cannot be expressed as a linear combination of the other columns. This means that the columns are all different and no two columns are the same.

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Answer:

the answer is x= -6 and y= -13

Pythagoras theorem - The length of the third side is 6.71unit

What is Pythagoras theorem ?

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a key relationship in Euclidean geometry between a right triangle's three sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

The Pythagoras theorem's equation is as follows:

H² = P² + B²

The triangle's third side will be the following length:

Let x represent the triangle's third side's length.

9² = 6² + x²

81 = 36 + x²

x² = 45

x = 6.708

x = 6.71 units

Hence, the third side of the triangle is 6.71unit

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The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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Since the object is in free fall the acceleration of the object is approximately

The result of Multiplying 138.2 km by 3.5 km is 483.7 km².

To perform the indicated calculation, we need to multiply 138.2 km by 3.5 km.138.2 km x 3.5 km = 483.7 km²

The result of multiplying 138.2 km by 3.5 km is 483.7 km².

When dealing with significant figures, we should consider the least precise measurement involved in the calculation, which in this case is 3.5 km (with two significant figures). Therefore, we should round the answer to the same number of significant figures, resulting in 480 km².

So, rounding according to the rules for significant figures, the result of the calculation 138.2 km x 3.5 km is approximately 480 km².

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Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.