What is the area of the composite figure below?

Answer:

11502

Step-by-step explanation:

Answer:

30 gallons solution 4% and 10 gallons solution 8%

Step-by-step explanation:

4x+8y=40•5 and x+y=40

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

Answer:

i think b

Step-by-step explanation:

The graph has no vertex and the transformations from the parent function are

By definition, the vertex of a function is the maximum or the minimum of the function

From the graph, we can see that the graph only has a turning point; it has no maximum or minimum

So, we can conclude that there is no vertex in the graph

Here, we have:

We can see that:

The graph is 4 units to the left of the origin and 2 units below the origin

This means that the function has been shifted down and shifted to the left

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Answer:

Step-by-step explanation:

Slope intercept form:

Take two points from the graph:

Find the slope:

Find the y-intercept using point (2, 1) and the equation above:

The line is:

Answer:

Y = 2x - 3 or Y = 8/3x - 3

Step-by-step explanation:

Y = mx + b

we have a y intercept of -3 since the graph crosses the y axis only at -3 and it heads to y = 3 starting from the y intercept.

and thus we are 5 units away from 3 which is m = a/c = 8/3

m = 8/3

y = 8/3x - 3

it's either this or we'll simply plot the final and initial positions of x and y respectiveky. so m = 3-1/3-2 = 2/1 = 2

and so the equation would turn out to be -

y = 2x -3

Answer: A customer should pay Rs.2125

Step-by-step explanation:

Principal amount = Rs.2500

Rate of discount = 15%

Therefore, the amount the customer should pay is

2500 - (15% of 2500) = 2500 - (2500*15/100)

                                     = 2500 - 375

                                     = 2125

The most specific name that can be given to a figure with the following coordinates (–10, 8), (–7, 13), (3, 7), and (0, 2) is: A. rectangle.

In Mathematics and Geometry, a rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles that are formed are right angles.

In any rectangle, each of the two (2) opposite sides are equal and parallel and the two (2) diagonals are equal. In this context, we have the following parallel sides;

√[(10 - 0)² + (8 - 2)²] = √[(-7 - 3)² + (13 - 7)²]

√(100 + 64) = √(100 + 64)

√136 units = √136 units

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Using the Pigeonhole Principle, it can be shown that in a set of n positive integers, none exceeding 2n, there is at least one integer that divides another integer.

We can prove this statement by contradiction using the Pigeonhole Principle.

Suppose we have a set of n positive integers, none of which exceed 2n, and assume that no integer in the set divides another integer.

Consider the prime factorization of each integer in the set. Since each integer is at most 2n, the largest prime factor in the prime factorization of any integer is at most 2n.

Now, let's consider the possible prime factors of the integers in the set. There are only n possible prime factors, namely 2, 3, 5, ..., and 2n (the largest prime factor).

By the Pigeonhole Principle, if we have n+1 distinct integers, and we distribute them into n pigeonholes (corresponding to the n possible prime factors), at least two integers must share the same pigeonhole (prime factor).

This means that there exist two integers in the set with the same prime factor. Let's call these integers a and b, where a ≠ b. Since they have the same prime factor, one integer must divide the other.

This contradicts our initial assumption that no integer in the set divides another integer.

Therefore, our assumption must be false, and there must be at least one integer in the set that divides another integer.

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Answer:

y = 6

Step-by-step explanation:

13.25 = 79.5 ( isolate y by dividing both sides by 13.25 )

y = 79.5 ÷ 13.25 = 6

Hello,

Answer:

We can start by rationalizing the denominators of each fraction.

For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:

1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)

= (√4 - √5)/(4 - 5)

= (√4 - √5)/(-1)

For the second fraction, we multiply the numerator and denominator by √5 - √6:

1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)

= (√5 - √6)/(5 - 6)

= (√5 - √6)/(-1)

We can do the same for the remaining fractions:

1/√6+√7 = (√6 - √7)/(-1)

1/√7+√8 = (√7 - √8)/(-1)

1/√8+√9 = (√8 - √9)/(-1)

Now we can simplify the expression:

1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9

= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)

= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)

= (√4 - √9)/(-1)

= √9 - √4

= 3 - 2

= 1

Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.

Good luck

Answer:

Having soup and salad for lunch are independent events because P(A/B)=P(A) and P(B/A) = P(B)

Step-by-step explanation:

Answer:

x> or equal to 35. 36 is a solution.

Step-by-step explanation:

Answer:

Step-by-step explanation:

They are both acute. They are both on the same side of the transversal. They are (incidentally) equal. They are corresponding angles.

Answer:

Ur Gonna divide bc it is showing width and thickness and so u divide

Ans 1) 260

Ans 2) 0.032 (rounded to 3 decimal places).

Ans3) 0.9977 (rounded to 4 decimal places).

solution 1) We select a random sample of 400 freshmen from across the nation. The formula to calculate the expected value of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is :

Expected value of the sampling distribution model = Mean = np = 400 × 0.65 = 260.

Hence, the expected value of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is 260.

Solution 2) The formula to calculate the standard deviation of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is:

Standard deviation = sqrt [ (p * q) / n ] Where p is the proportion of successes in the population, q = 1 - p, and n is the sample size.

Substitute the values :Standard deviation = sqrt [(0.65 × 0.35) / 400] = 0.032. Hence, the standard deviation of the sampling distribution model for the proportion of 400 freshmen that will return to the same school for their sophomore year is 0.032 (rounded to 3 decimal places).

Solution 3) The formula to calculate the probability that the proportion of these 400 freshmen that return to the same school for their sophomore year is less than 0.74 is :

z = (x - μ) / σz = (0.74 - 0.65) / 0.032z = 2.813P(x < 0.74) = P(z < 2.813). By consulting the Z-table, the value is 0.9977Hence, the probability that the proportion of these 400 freshmen that return to the same school for their sophomore year is less than 0.74 is 0.9977 (rounded to 4 decimal places).

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Thus, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%.

To calculate the confidence interval of the proportion smeared in 200 sheets of paper inspected for smeared ink, we can use the formula:

Confidence Interval = sample proportion ± (critical value) x (standard error)

The sample proportion is the number of sheets containing smeared ink divided by the total number of sheets inspected, which is 17/200 = 0.085.

The critical value for a 99% two-sided confidence interval with 200 observations can be found using a t-distribution table or calculator, and is approximately 2.576.

The standard error can be calculated as the square root of [(sample proportion) x (1 - sample proportion) / sample size], which is the square root of [(0.085) x (1 - 0.085) / 200] = 0.028.

Plugging in these values, we get:

Confidence Interval = 0.085 ± (2.576) x (0.028)
Confidence Interval = 0.085 ± 0.072
Confidence Interval = (0.013, 0.157)

Therefore, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%. This means that we are 99% confident that the true proportion of smeared ink in the population of printed sheets falls within this range.

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The distance between two points is D and E, E and F, C and D, A and B, B and C, when the points are arranged in increasing order.

Discover the distance formula, a Pythagorean theorem application, to determine the separation between two places. To get the separation between any two points, we can rewrite the Pythagorean theorem as \(d= \sqrt{x_{2} -x_{1} + y_{2} -y_{1} }\)

In geometry, distances are always positive unless the points are exactly adjacent. The distance between A and B is equal to the distance between B and A. We consider two points A(a,b) and B to get the formula for the distance between two points in the plane (c,d).

\(d= \sqrt{x_{2} -x_{1} + y_{2} -y_{1} }\)

The distance is provided in the following equation as

A and B are \(\sqrt{39}\) miles apart.

B and C are \(\sqrt{41}\) miles apart.

C and D are five miles apart.

D and E are four miles apart.

E and F are \(\sqrt{17}\) miles apart.

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Answer:

Step-by-step explanation:

you have to count the distance between each point then list them from smallest to greatest. The other answers on here made it more convoluted than necessary.

The use of gears enables the exchange of torque for angular velocity (i.e., if the gears are of unequal size, the larger gear will experience higher torque but lower angular velocity than the smaller gear).

Any organized assembly of resources and procedures united and regulated by interaction or interdependence to accomplish a set of specific functions.

here, we have,

Two gears or pulleys must rotate at the same angular velocity if they are attached to the same axle.

Since the angle doesn't change the unit in any way, the work unit is also in ft-lbs. The rotating equivalent of a formula you might remember from physics is "Work = Force * Distance."

Energy is preserved in a gear train if friction-related heat losses are disregarded.

A gear ratio is the comparison of the number of rotations made by the driving gear system and the driven gear.

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Answer:

x=-20

Step-by-step explanation:

3x+178=6x+238

-3x=60

x=-20

The correct option for the given product is -7/15.

Multiplying fractions begins with the numerators being multiplied, followed by the denominators being multiplied.

When multiplying fractions, keep the following rules in mind:

The given expression is;

(-7/9) × (3/5)

First multiply the numerator part separately.

= (-7) × 3

= -21

Now, multiply the denominator part separately.

= 9 × 5

= 45

Now, write the obtained numerator and denominator in fraction;

= -21/ 45

As, this number is further divisible by 3.

Divide the numerator and denominator by 3.

= -7/15

Thus, the number obtained by the product as -7/15.

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Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

Answer:

Line segment because it is part of a line that has two endpoints which are the 0 inch mark and the 12 inches mark.

Answer: C. 2,856

Step-by-step explanation: The formula for volume is V= lwh (length x width x hight). So you'd do 28 x 17 x 6 = 2,856.

Given:

Raul's salary

Houston $ 70,000

Los Angeles $ 110,000 ( w 10% state tax)

Requird: actual % salary increase

Solution

Cost of the state tax = 10% ( $110,000) = (0.10) (110000) = $ 11, 000

The state tax will be deducted from his salary in Los Angeles, leaving him with only

$ 110,000 - $11, 000 = $ 99,000

Actual increase in salary = $ 99,000 - $ 70,000 = $ 29,000

% salary increase = ( actual salary increase/ salary in houston)*100 = ( $ 29,000 / $ 70, 000 )*100= 41.4%

When a triangle is dilated, the size of the triangle changes.

The image of \(\triangle A'B'C'\) are:

\(A' = (7,12)\)

\(B' = (13,8)\)

\(C' =(5,0)\)

We have:

\(A = (9,13)\)

\(B = (12,11)\)

\(C = (8,7)\)

\(k = 2\)

Start by multiplying the scale factor by the coordinates of \(\triangle ABC\)

\(A = (9,13) \times 2\)

\(A = (18,26)\)

\(B = (12,11) \times 2\)

\(B = (24,22)\)

\(C =(8,7) \times 2\)

\(C =(16,14)\)

Subtract the center of dilation from the above coordinates

\(A' = (18,26) - (11,14)\)

\(A' = (18-11,26-14)\)

\(A' = (7,12)\)

\(B' = (24,22) - (11,14)\)

\(B' = (24-11,22-14)\)

\(B' = (13,8)\)

\(C' =(16,14) - (11,14)\)

\(C' =(16 - 11,14 - 14)\)

\(C' =(5,0)\)

Hence, the image of \(\triangle A'B'C'\) are:

\(A' = (7,12)\)

\(B' = (13,8)\)

\(C' =(5,0)\)

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