which of the following is not equivalent to 23 +(-27)-16-(-23)
the answers are:
23 + (-27) + (-16) + (-32)
23 - 27 - 16 + 32
23 - 27 - 16 -(-19)
23 + (-27) + 16 +32

Answer:

[11 2]

Step-by-step explanation:

10 to -1 is 11 and-3 to -5 is 2 therfore you have the distance of 11 and 2

\(ans = 11.180 \: or \: 5√5

Answer:

The population is 11179

Step-by-step explanation:

We can use the compound interest formula but a modified type here.

Mathematically the population in the year 2025 will be;

P = I(1+r)^t

where p is the population by 2025

I is the initial population in 2018 which is 975

r is the percentage increase or decrease = 2.75% = 2.75/100 = 0.0275

t is the difference in years which is 2025-2018 = 7

Plugging these values we have;

P = 975(1+ 0.0275)^7

P =975(1.0275)^7

P = 1,178.9

which is 1179 to nearest whole number

For problems 7-9, a pair of fair dice is rolled. In 7 the probability is 5/36. In 8 the probability 1/2. In 9 the probability 11/12. In 10 the probability 17/36.

7. Find the probability that the sum is at most 5.To solve this, let's find the possible outcomes that can result in a sum of 5 or less.

The possible outcomes are: {(1, 1), (1, 2), (2, 1), (1, 3), (3, 1)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is at most 5 is: (5 outcomes) / (36 total outcomes) = 5/36.

8. Find the probability that the sum is a multiple of 2 or a multiple of 3.To solve this, let's find the possible outcomes that can result in a sum that is a multiple of 2 or 3.

The possible outcomes are: {(1, 1), (1, 3), (1, 5), (2, 2), (2, 4), (2, 6), (3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6), (5, 1), (5, 3), (5, 5), (6, 2), (6, 4), (6, 6)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is a multiple of 2 or a multiple of 3 is: (18 outcomes) / (36 total outcomes) = 1/2.

9. Find the probability that the sum is at least 4.To solve this, let's find the possible outcomes that can result in a sum of 4 or greater.

The possible outcomes are: {(1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is at least 4 is: (33 outcomes) / (36 total outcomes) = 11/12.

10. Find the probability that the sum is not an even number. Let's find the possible outcomes that can result in an odd number sum.

The possible outcomes are: {(1, 2), (1, 4), (1, 6), (2, 1), (2, 3), (2, 5), (3, 2), (3, 4), (3, 6), (4, 1), (4, 3), (4, 5), (5, 2), (5, 4), (5, 6), (6, 1), (6, 3), (6, 5)}

Total number of outcomes: 6 × 6 = 36

So, the probability that the sum is not an even number is: (17 outcomes) / (36 total outcomes) = 17/36.

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Grant will receive a pension of $5,096.08 per year.

A regular payment paid to a person after they retire, either from the government or a previous employer, is known as an annual pension. The pension's amount is typically determined by the recipient's pay and number of years of service.

Grant's final average salary is \($80,000 * (1 + 0.025)^4\)= $91,201.96.

His number of years of service is 4.

The vesting percentage for 4 years of service is 70%.

The annual pension is $91,201.96 * 4 * 0.02 * 0.7 = $5,096.08.

Therefore, Grant will receive a pension of $5,096.08 per year.

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the simplest form of the given expression will be -6\(x^{4}\)+26x²+48.

What is a quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally, the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.

The equation (8+6x²)((6-x²)

= (8*6)-8x²+36x²-6\(x^{4}\)

= -6\(x^{4}\)+26x²+48

Hence the simplest form of the given expression will be -6\(x^{4}\)+26x²+48.

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The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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The irregular polygon has an area of 39 square units.

In this question we find the case of an irregular pentagon, that is a polygon with five sides with different lengths and five different central angles. The area of any polygon can be found by summing the areas of rectangles and right triangles. The area formulas for rectangles and right triangles are shown below:

Rectangle

A = w · l

Right triangle

A = 0.5 · w · l

Where:

Now we proceed to determine the area of the irregular polygon:

A = 0.5 · 3 · 1 + 0.5 · 5 · 3 + 5 · 6

A = 1.5 + 7.5 + 30

A = 39

The area of the irregular polygon is equal to 39 square units.

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Answer:

The answer would be 3 1/9

Step-by-step explanation:

5-2= 3 5/9-4/9 = 1/9

Answer:

3  1/9

Step-by-step explanation:

(5 x 9 + 5)/9 - 2 4/9

(45 + 5)/9 - 2 4/9

50/9 - 2 4/9

50/9 - (2 x 9 + 4)/9

50/9 - (18 + 4)/9

50/9 - 22/9

(50 - 22)/9

28/9

3 1/9

Answer:

585.1

Step-by-step explanation:

I hope that helps!!!

The height of the window according to the diagram is 12 m

The height of the window is worked using  Pythagoras theorem, This is used for a right triangle.

The diagram shows a right triangle of and the parts are compared as follows

hypotenuse = length of ladder

opposite = height of the window and

adjacent = distance of ladder from wall

The equation is written below

(length of ladder)² = (height of the window)² + (distance of ladder from wall)²

(height of the window)²  = 13² - 5²

height of the window = √(13² - 5²)

height of the window = 12 m

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It seems like there are multiple options for commuters traveling between these three cities, including taking a train from Amra to Delta and then transferring to another train to continue on to Gabrin, or taking a bus from Amra to Delta instead.

It sounds like the Ziptrac commuter trains provide transportation between the cities of Amra, Delta, and Gabrin. The trains leave Amra on the half hour starting at 8 am and travel 10 miles to Delta. After a 10 minute stopover in Delta, the trains then travel for 50 minutes to Gabrin.

However, every third train originating from Amra is a one-hour express to Gabrin that does not stop at Delta. This means that two out of every three trains will stop at Delta before continuing on to Gabrin, while one out of every three trains will be an express train that goes straight from Amra to Gabrin without stopping at Delta.

In addition to the trains, commuters can also take a local bus from the Amra station to the Delta station. The local bus leaves promptly every half hour starting at 9:30 am and travels at a speed that is 3/4 as fast as the train. However, the trains travel 10 miles per hour faster than the bus does.

Overall, it seems like there are multiple options for commuters traveling between these three cities, including taking a train from Amra to Delta and then transferring to another train to continue on to Gabrin, or taking a bus from Amra to Delta instead.

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Based on the types of compounding and the interest rates, the following are true:

When using simple interest, the amount the group will have is:

= Amount x ( 1 + rate x number of years )

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

= Amount x ( 1 + rate) ^ Number of years

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

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Answer:

Hope that answers your question

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

please mark brainly

Answer:

Below

Step-by-step explanation:

Realize that the angles are supplementary

x-17   +     7x+5  = 180

8x -12 = 180

8x = 192

x = 24

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

Answer: -30

Step-by-step explanation:

I just plugged it into a calculator hehe.

The equation of the quadratic surface can be written as x^2 / a^2 + y^2 / b^2 - z^2 / c^2 = 1, where a, b, and c are the lengths of the semi-axes. Since the horizontal cross sections are circles centered on the z-axis, this means that a and b are equal, and the radius of each circle is equal to the semi-axis length, a = b.

Also, since the trace in the x=0 plane is y^2 - z^2 = 1, this means that the semi-axis length in the z direction is equal to 1, c = 1. Therefore, the equation of the quadratic surface is x^2 / a^2 + y^2 / a^2 - z^2 = 1.To find the value of a, we can use the fact that the cross sections are circles centered on the z-axis.

Since the equation of a circle centered on the z-axis is x^2 + y^2 = r^2, where r is the radius of the circle, we can substitute x = 0 and z = 0 into the equation of the quadratic surface to get y^2 / a^2 = 1, which gives us a = ±1. Therefore, the equation of the quadratic surface can be written as x^2 + y^2 - z^2 = 1 or -x^2 - y^2 + z^2 = 1.

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Given:

Two angles are Complementary.

One angle measures (2x-16) degrees.

The other measures (x +1) degrees.

To find:

The value of the larger angle.

Solution:

Let,

\(\angle 1=(2x-16)^\circ\)

\(\angle 2=(x+1)^\circ\)

We know that, sum of two complementary angles is 90 degrees. Since, given angles are complementary angles, therefore

\(\angle 1+\angle 2=90^\circ\)

\((2x-16)^\circ+(x+1)^\circ=90^\circ\)

\((3x-15)^\circ=90^\circ\)

Now,

\(3x-15=90\)

\(3x=90+15\)

\(3x=105\)

Divide both sides by 3.

\(x=35\)

The value of x is 35.

\(\angle 1=(2(35)-16)^\circ\)

\(\angle 1=(70-16)^\circ\)

\(\angle 1=(54)^\circ\)

And,

\(\angle 2=(35+1)^\circ\)

\(\angle 2=(36)^\circ\)

Therefore, the value of the larger angle is 54 degrees.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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The prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

There are 2 negative numbers in Set A οut οf a tοtal οf 4 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set A is 2/4 = 1/2.

There is 1 negative number in Set B οut οf a tοtal οf 5 numbers. Therefοre, the prοbability οf chοοsing a negative number frοm Set B is 1/5.

Tο find the prοbability οf chοοsing a negative number frοm bοth sets, we need tο multiply the individual prοbabilities:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

P(negative frοm Set A and negative frοm Set B) = (1/2) * (1/5) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth sets is 1/10 οr 0.1.

Cοunt the number οf negative numbers in Set A. There are 2 negative numbers.

Cοunt the number οf negative numbers in Set B. There is 1 negative number.

Find the tοtal number οf numbers in Set A. There are 4 numbers.

Find the tοtal number οf numbers in Set B. There are 5 numbers.

Use the fοrmula:

P(negative frοm Set A and negative frοm Set B) = P(negative frοm Set A) * P(negative frοm Set B)

Plug in the values:

P(negative frοm Set A and negative frοm Set B) = (2/4) * (1/5)

P(negative frοm Set A and negative frοm Set B) = 1/10

Therefοre, the prοbability οf chοοsing a negative number frοm bοth Set A and Set B is 1/10 οr 0.1.

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Answer:

30% of 30

Step-by-step explanation:

Answer:

UW = 36 units

Step-by-step explanation:

The question is incomplete. Here is the complete question

Point V lies between points U and W on Line segment U W. A line has points U, V, W. The length between U V is 2 x minus 4. The length between V W is 4 x + 10. If UW = 9x – 9, what is UW in units?

If a point V lies between points U and W on line segment UW, then based on vector notation, UV + VW = UW.

Given parameters

The length between U and V i.e UV = 2x-4

The length between V and W i.e VW= 4x + 10.

UW = 9x – 9

Required

The length between U and W in units

Since UW = UV+VW, we will substitute the given functions into the formula as shown;

9x-9 = 2x-4+4x + 10.

9x-9 = 2x+4x-4+10

9x-9 = 6x+6

collect like terms on both sides;

9x-6x = 6+9

3x = 15

x = 15/3

x = 5

Substitute x = 5 into the function UW = 9x-9 to ge the length of UW in units.

UW = 9(5)-9

UW = 45-9

UW = 36 units

Hence the required length between line segment U and W in units is 36units.

Answer:

36 units, edge 2020-21

Step-by-step explanation:

aka D/last answer

To determine which group will listen to classical music, Pam will use random sampling so that anyone can participate. This ensures an unbiased selection process and allows for a diverse range of individuals to be included in the study.

To investigate whether listening to classical music makes people relax, it is important to eliminate any potential bias in the selection process. By using random sampling, Pam ensures that participants from various backgrounds and demographics are included, allowing for a more representative sample.

Random sampling involves selecting participants in a way that each individual in the target population has an equal chance of being included. This helps minimize selection bias and increases the generalizability of the findings.

Since Pam's research assistant knows nothing about her hypothesis, they can carry out the random sampling process without any preconceived notions or bias. This ensures that the group listening to classical music will be selected randomly from the pool of potential participants, allowing for an unbiased evaluation of the impact of classical music on relaxation.

By employing random sampling, Pam can obtain a diverse group of participants, which strengthens the validity and generalizability of her study. It allows for a more comprehensive understanding of the relationship between classical music and relaxation, as the results can be applied to a broader population.

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Once you have followed these steps, you should be able to help the virologist conclusively decide what quantities a and b model by analyzing the given differential equations.

It seems that the specific functions a and b, as well as the differential equations, are not provided in your question. However, I can guide you on how to approach this problem using the given terms and general concepts.

A virologist studies the dynamics of infectious disease using mathematical models. The three quantities of interest are infected people (I), susceptible people (S), and immune people (R). Functions a and b will represent two of these three quantities. To determine which quantities a and b model, we can analyze the given differential equations and follow these steps:

Step 1: Identify the variables and their relationships
Look for the variables (S, I, and R) in the differential equations and analyze how they are related to each other. Determine if there are any rate constants or parameters that link the variables.

Step 2: Analyze the equations' behavior
Study the differential equations' behavior over time, considering different initial conditions. Observe if the equations exhibit any trends, such as an increase or decrease in the quantities.

Step 3: Compare the equations with known epidemic models
Compare the given differential equations with known epidemic models, such as the SIR model or the SEIR model. These models have well-defined equations that describe the rates of change for susceptible, infected, and immune individuals.

Step 4: Rule out alternatives
Based on your analysis, eliminate the alternatives that don't match the behavior exhibited by the differential equations. Ensure that your conclusion is supported by a logical argument.

Once you have followed these steps, you should be able to help the virologist conclusively decide what quantities a and b model by analyzing the given differential equations.

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Answer:

Let's assume the width of the screen is "x" meters.

Then the length is "6x+5" meters.

The area of the rectangle = length x width

9800 = (6x+5) x x

9800 = 6x^2 + 5x

By rearranging the equation, we get:

6x^2 + 5x - 9800 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. Using the quadratic formula, we get:

x = [-5 ± sqrt(5^2 - 4(6)(-9800))] / (2*6)

x = [-5 ± sqrt(192005)] / 12

Since the width cannot be negative, we take the positive value:

x = (sqrt(192005) - 5) / 12

x ≈ 21.35 meters (rounded to two decimal places)

So, the length of the screen is:

6x+5 = 6(21.35) + 5

= 128.1 meters (rounded to one decimal place)

Therefore, the length and width of a similar rectangular screen would be approximately 128.1 meters by 21.35 meters, respectively.

Step-by-step explanation: