Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)

Answer: The area is 8 it litterally tells you there

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

49x-21y-6

Step-by-step explanation:

7(7x) 7(-3y) -6

49x-21y-6=0

Answer:

1.056

Step-by-step explanation:

Because 2 4/5+ 3/5= 3 1/5

3 1/5 as a decimal is, 3.2

3.2× .33= 1.056

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\(\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3\)

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

\(\mu = \mu_X - \mu_Y = 45 - 35 = 0\)

\(\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5\)

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{0 - 10}{5}\)

\(Z = -2\)

\(Z = -2\) has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

If a parallelogram is (x + 5) cm long and (x-8) cm wide. The perimeter is: 4x - 6 cm.

The length of all four sides of a square constitutes its perimeter whereas the circumference of a circle which is also known as the perimeter is the distance around it.

One pair of opposite sides lengths are determined by (x + 5) cm and the other pair's length is determined by (x - 8) cm.

Let x represent the  perimeter P of the parallelogram:

P = 2(x + 5) + 2(x - 8)

Simplify

P = 2x + 10 + 2x - 16

P = 4x - 6

Therefore  we can conclude  that the perimeter  of x is 4x - 6 cm.

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The complete question is:

A parallelogram is (x+5)cm long and (x-8)cm wide. Find the perimeter of the parallelogram.

Answer:

$660.

Step-by-step explanation:

So when we apply a discount to a product we multiply the price of the product (let's all is x) for the percentage of the discount (let's apply 90% as the probnlem says) so then we have the following operation:

x ⋅ (1-0.9) = y

Variable y is the price at which you bought the product, it's $66, on this case. Therefore, this is the expression we have:

x ⋅ (1-0.9) = $66

Now, to get the original value of the product (x), we solve the equation for x:

x ⋅ (1-0.9) = $66

x= $66 / (1-0.9)

x= $66 / (0.1)

x= $660

• Why did we multiply by 1-0.9?

This is because we were looking for the 10% of the original price, since it's a 90% discount. A simple way to solve the problem would've been to just divide the price by 0.1 (10%), because that's what remains after you discount 90% of the price.

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A different example would be the following:

What was the original price of a product bought for $48 if it has a 60% discount?

x is original price.

Since a 60% discount was applied, 40% of the price remains at full price. Therefore, we multiply the original price (x) by 40%:

x ⋅ 40%= $48

x= $48 / 40%

x= $48 / 0.4

x= 120

$120 was the original price.

It takes time of near about 35 year.

Given that,

Storage capability of computers has been doubling every 5 years

The date of 1st computer made = 1980

computer could store 5 megabytes,

Now,

We can use the following calculation to determine how long it took computers to store 100 megabytes:

Therefore,

Log₂ (final amount / beginning amount)

=  Log₂ (100 / 0.5)

= log₂ (200)

= 7.64 is the number of doublings.

If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.

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Answer:

x = 0

Step-by-step explanation:

-3x + 6(-2+5x) = -12

-3x - 12 + 30x = -12

27x = 0

x = 0

Answer:

k+6=29, then k=23

Step-by-step explanation:

Answer:

\(y<-4\)

Step-by-step explanation:

Given

\(7y + 42 <14\)

Required

Determine the true statement

Options are not given; but, the question can still be attempted.

\(7y + 42 <14\)

Collect Like Terms

\(7y < 14 -42\)

\(7y < -28\)

Divide through by 7

\(\frac{7y}{7} < -\frac{28}{7}\)

\(y<-4\) -- This is true

Answer:

14/15

Step-by-step explanation:

1 1/14

=> 14 x 1 + 1/14

=> 15/14

Reciprocal = Opposite

=> 15/14 reciprocal = 14/15

The statement indicates that when a set X is partitioned, each partition forms an  parity relation by grouping together  rudiments that are considered original within each subset, thereby creating distinct and non-overlapping subsets within the original setX.  

The statement" each partition P of X defines an  parity relation on X" means that when a set X is divided into non-overlapping subsets or partitions, each partition creates an  parity relation on the original set X.

An  parity relation is a relation that satisfies three  parcels reflexivity,  harmony, and transitivity.  In the  environment of partitions, when a set X is divided into subsets, each partition forms an  parity relation by grouping together  rudiments that partake a common characteristic or property.

Within each partition, the  rudiments are considered original or affiliated to each other, and they're distinct from  rudiments in other partitions.  The meaning of" each partition P of X" refers to every possible way of dividing the set X intonon-overlapping subsets.

It implies that different partitions may  live grounded on different criteria or conditions for grouping  rudiments.

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Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

It will take 150 minutes for the two containers to have the same amount of water.

To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:

m = |A - B| / (a - b)

where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.

In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:

m = |300 - 900| / (6 - 2)

m = |-600| / 4

m = 600 / 4

m = 150 minutes

Therefore, it will take 150 minutes for the two containers to have the same amount of water.

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Answer:

y=-3x+1

Step-by-step explanation:

Have a good one.

Answer:

Function given:

In the vertex form:

Axis of symmetry is the vertical line passing through the vertex.

The vertex is

Axis of symmetry is

y- intercept is

Two other points are

See the graph with all the points plotted

Function given:

In standard form:

In vertex form:

The vertex:

Axis of symmetry is

y - intercept

Two other pints:

The graph is attached with the points plotted.

f(x) is concave up on the interval (-∞, √(6/7)) U (√(6/7), ∞),f(x) is concave down on the interval (-√(6/7), √(6/7)) ,The inflection points occur at x = -√(6/7) and x = √(6/7).

An inflection point is a point on a curve where the concavity changes, from concave up to concave down or vice versa, indicating a change in the curvature of the curve.

According to the given information:

To determine the intervals where f(x) is concave up or down, we need to find the second derivative of f(x) and determine its sign.

First, we find the first derivative of f(x):

f'(x) = (14x)/(7x²+6)²

Then, we find the second derivative of f(x):

f''(x) = [28(7x²+6)²- 28x(7x²+6)(4x)] / (7x²+6)^4

Simplifying the expression, we get:

f''(x) = 28(42x² - 72) / (7x^2+6)³

To determine where f(x) is concave up or down, we need to find the intervals where f''(x) is positive or negative, respectively.

Setting f''(x) = 0, we get:

42x² - 72 = 0

Solving for x, we get:

x = ±√(6/7)

These are the possible inflection points of f(x). To determine if they are inflection points, we need to check the sign of f''(x) on both sides of each point.

We can use a sign chart to determine the sign of f''(x) on each interval.

Intervals where f''(x) > 0 are where f(x) is concave up, and intervals where f''(x) < 0 are where f(x) is concave down.

Here is the sign chart for f''(x):

x  |   -∞   | -√(6/7) | √(6/7) |   ∞

f''(x)|   -    |     +      |     -     |   +

From the sign chart, we can see that:

a) f(x) is concave up on the interval (-∞, √(6/7)) U (√(6/7), ∞).

b) f(x) is concave down on the interval (-sqrt(6/7), √(6/7)).

c) The inflection points occur at x = -√(6/7) and x = √(6/7).

Therefore, the open intervals where f(x) is concave up are (-∞, -√(6/7)) and (√(6/7), ∞), and the open interval where f(x) is concave down is (-√(6/7), √(6/7)). The inflection points occur at x = -√(6/7) and x = √(6/7).

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The f(x) is concave up on the interval (-∞, √(6/7)) U (√(6/7), ∞),f(x) is concave down on the interval (-√(6/7), √(6/7)) ,The inflection points occur at x = -√(6/7) and x = √(6/7).

What is inflection Point?

An inflection point is a point on a curve where the concavity changes, from concave up to concave down or vice versa, indicating a change in the curvature of the curve.

According to the given information:

To determine the intervals where f(x) is concave up or down, we need to find the second derivative of f(x) and determine its sign.

First, we find the first derivative of f(x):

f'(x) = (14x)/(7x²+6)²

Then, we find the second derivative of f(x):

f''(x) = [28(7x²+6)²- 28x(7x²+6)(4x)] / (7x²+6)^4

Simplifying the expression, we get:

f''(x) = 28(4x² - 72) / (7x^2+6)³

To determine where f(x) is concave up or down, we need to find the intervals where f''(x) is positive or negative, respectively.

Setting f''(x) = 0, we get:

42x² - 72 = 0

Solving for x, we get:

x = ±√(6/7)

These are the possible inflection points of f(x). To determine if they are inflection points, we need to check the sign of f''(x) on both sides of each point.

We can use a sign chart to determine the sign of f''(x) on each interval.

Intervals where f''(x) > 0 are where f(x) is concave up, and intervals where f''(x) < 0 are where f(x) is concave down.

Here is the sign chart for f''(x):

x  |   -∞   | -√(6/7) | √(6/7) |   ∞

f''(x)|   -    |     +      |     -     |   +

From the sign chart, we can see that:

a) f(x) is concave up on the interval (-∞, √(6/7)) U (√(6/7), ∞).

b) f(x) is concave down on the interval (-sqrt(6/7), √(6/7)).

c) The inflection points occur at x = -√(6/7) and x = √(6/7).

Therefore, the open intervals where f(x) is concave up are (-∞, -√(6/7)) and (√(6/7), ∞), and the open interval where f(x) is concave down is (-√(6/7), √(6/7)). The inflection points occur at x = -√(6/7) and x = √(6/7).

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Answer:

\(-\frac{9}{1}\)

Step-by-step explanation:

Its just the same way as making positive 9
a fraction, but just add the negative sign.

Hope this helps :))

Step-by-step explanation:

\(2m - 1 \geq5 \: \cup \: 5m > - 25\)

\(2m \geq5 + 1 \: \cup \: m > - \frac{25}{5} \)

\(2m \geq6 \: \cup \: m > - 5\)

\(m \geq \frac{6}{2} \: \cup \: m > - 5\)

\( m \geq3 \: \cup \: m > - 5\)

\(m > - 5\)

The solution of the inequality is m ≥ -5.

What is number line ?

As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.

The given inequality is :

2m -1 ≥ 5 ∪ 5m ≥ -25

Solving above inequality using basic mathematical tools separately both the side of inequality :

2m -1 ≥ 5 ∪ 5m ≥ -25

2m ≥ 6 ∪ m ≥ -25/5

m ≥ 6/2 ∪ m ≥ -5

m ≥ 3 ∪ m ≥ -5

Now combining both the inequality we get :

m ≥ -5 as answer

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The domain of the graph is (-5,1) when the graph is the function which is given in the picture.

Given that,

In the picture we have graph.

We have to find the domain and range of the function f.

We know that,

The operations of a vending (soda) machine can be compared to mathematical functions. Depending on how much money you deposit, you can choose from a variety of sodas. Similar to this, when using functions, we enter different numbers and obtain new numbers as the outcome. The two main components of functions are domain and range.

In the graph, at the left,

We can see that we have a white dot at x = -4

In this case, an open interval symbol is required because the point itself does not belong to the domain, which is (

Then at the moment, we have:

domain = (-4

Now if we look at the right side, we can see that we have a white dot at x = 1.

In this case, an open interval symbol is required because the point itself does not belong to the domain, which is (

Then the domain will be:

(-5, 1)

Therefore, The domain of the graph is (-5,1) when the graph is the function which is given in the picture.

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The LCM of given equations is 2x(2+x)(2-x).

Define LCM.

LCM stands for Least common multiple or Lowest Common Multiple. The lowest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers. It can also be computed using two or more integers. Finding the LCM of an identified set of numbers can be done in a variety of ways. Utilizing the prime factorization of each number and then calculating the product of the highest powers of the shared prime factors is one of the quickest methods to determine the LCM of two numbers.

Factors of given equations:

4 - \(x^{2}\) = (2 - x)(2 + x)      (∵ \(a^{2} + b^{2} = (a+b) (a-b)\))

4 + 2x = 2(2+x)

2x+\(x^{2}\) = x(2+x)

Here, 2+x is common in these three, and take that as prime. Now, multiply the remaining prime factors with a common factor

   = (2+x)(2x(2-x))

∵ The LCM is 2x(2+x)(2-x).

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Answer:

5845.67147554

Step-by-step explanation:

(45)(150)cos(30degrees)

The work done by the lawn mower is 3375 ft-lb.

The work done is equal to the force applied times the distance moved, but only in the direction of the force. In this case, the force is not horizontal, so we need to find the component of the force that is parallel to the ground.

The force applied to the lawn mower is 45 lb, and the angle between the force and the horizontal is 30°. We can use the sine function to find the component of the force that is parallel to the ground:

\(F_{parallel\) = F * sin(theta) = 45 lb * sin(30°) = 22.5 lb

The work done is then:

W = \(F_{parallel\) * d = 22.5 lb * 150 ft = 3375 ft-lb

Therefore, the work done is 3375 ft-lb.

Here is the solution in mathematical notation:

Work = \(F_{parallel\) * d = F * sin(theta) * d = 45 lb * sin(30°) * 150 ft = 3375 ft-lb

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Answer:

C. 63

Step-by-step explanation:

Answer:

a. (0,1)

b. slope is -2

y-1=-2x

Step-by-step explanation: