Guys, explain this and help me please

Answer:

5610

Step-by-step explanation:

unaffected people will be (100%-2.5\%-50.75%)=46.75% of 12000:

\(12000\cdot 46.75\%=12000\cdot \frac{46.75}{100} =120\cdot 46.75=5610\)

By identifying the vertex of the function, we conclude that it is decreasing for:

\(x < -3\)

Here we have an absolute value function:

\(f(x) = -|x + 3| - 4\)

This absolute value function has a positive coefficient, which means that the function opens downwards, so it looks like a regular "down" letter.

The function is decreasing when, reading from right to left, we see that the line goes downwards. And for functions like this, this happens for values of x smaller than the vertex x-value.

For:

\(f(x) = -|x + 3| - 4\)

The vertex is at (-3, -4)

Then the function is decreasing for \(x < -3\)

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Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

Answer:

x=5

Step-by-step explanation:

step 1 : exapnding 2(x+4) will give you 2x +8 , the student made an error in expanding

so it should then be 2x+8 = 6x-12

and then if you move the letters to one side and the numbers to the other you will get :

-4x = -20

x=5

hope this works :)

x=5

Step-by-step explanation:

the student added a minus in 2x and 8 when it's suppose to be an addition that is the error

2(x+4)=6(x-2)

2x+8=6x-12

2x-6x=-8-12

-4x=-20

x= -20/-4= 5

x=5

The number that belongs in the green box is 14.7. The solution has been obtained using law of sines.

What is law of sines?

According to the law of sines, all of the angles in the problem must have an equal ratio between the sine of each angle and the length of the side opposite to that angle.

As per law of sines,

sin A/a =  sin B/b = sin C/c

In the figure, we are given two angles and we know that in a triangle sum of all angles is 180°.

Therefore,

125° + 32° + x = 180°

x= 23°

Let the side be 'a'

Using law of sines,

⇒sin 125°/a = sin 23°/7

⇒a sin 23° = 7sin 125°

⇒a = 7sin 125°/sin 23°    (Dividing both sides by sin 23°)

⇒a = 14.7

Hence, the number that belongs in the green box is 14.7.

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Answer:

5 o clock

Step-by-step explanation:

Answer:

1. 4hrs and 10mnts

2. 13 builders

3. 25 walls

4. 52 toy soldiers

Step-by-step explanation:

1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts

2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses

3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days

4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks

Answer:

You need 6, 1/8 parts to make 3/4

Step-by-step explanation:

The answer is 6 because 1/8 multiplied by 6 is 6/8 and 6/8 simplified is 3/4

6/8ths is the correct answer

bruh

Therefore ,there are 158,184,000 ways to create a license plate in this system.

A selection from a group of separate items is called a combination in mathematics, and the order in which the elements are chosen is irrelevant (unlike permutations). An apple and a pear, an apple and an orange, or a pear and an orange are three combinations of two fruits that can be chosen from a set of three fruits, such as an apple, an orange, and a pear. Formally speaking, a set S's k-combination is a subset of S's k unique components. Two combinations are therefore equal if and only if they have the same elements in both combinations.

According to the counting principle, the total number of ways to obtain a license plate is calculated by multiplying the number of times each of these events might occur together.

The first number (the digits 1 through 9) can be obtained in nine different ways.

There are 26 methods to obtain the first letter. There are 26 ways to obtain the following letter (repetition is acceptable).

There are 26 methods to get the third letter, 10 ways to get the next number (zero is acceptable), and 10 ways to get the following number with repetitions.

How many ways are there to get the next number? 10 ways\s.

Thus ,total options for obtaining a license plate:

9 x 26 x 26 x 26 x 10 x 10=158184000

Therefore ,there are 158,184,000 ways to create a license plate in this system.

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The probability of a student taking a math class or a physics class is \(0.85\) when the probability of a student taking a math class is \(0.70\), the probability of taking a physics class is \(0.30\), and the probability of taking a math class and a physics class is \(0.15\)

How can we find the probability of taking math class or a physics class ?

Given in the question probability of the student taking class

\(p(M)=0.70\\p(P)=0.30\\p( M and P)=0.15\)

So we use the probability union intersection formula

\(p(M or P)=p(M)+p(P)-p(M and P)\)

Substitute the values

\(p(M or P)=0.7+0.3-0.15\\=0.85\)

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Answer: The answer is 2.6 gallons

Step-by-step explanation:

10 liters contain 2.6 gallons.

Given that,
3 liters is approximately 0.78 gallons,
To determine how many gallons are in 10 liters to be .

In mathematics, it deals with numbers of operations according to the statements.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here, the volume of 3 liters is approximately equal to 0.78 gallons. So,
3 liters = 0.78 gallons
dividing by 3 both sides
1 liter = 0.78 / 3 gallons
Multiply by 10 on both sides
10 liters = 10 * 0.78 / 3 gallons
10 liters = 2.6 gallons

It implies a volume of 10 liters contains 2.6 gallons

Thus 10 liters contain 2.6 gallons.

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The measure of ∠V of the parallelogram is = 150.5°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

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Step-by-step explanation:

lmk if you need help with the fractions, I used to have trouble on that kinda stuff too

The percentile rank of a student who earns a quantitative GRE score of 142 is 18.18%

We are given that;

The score= 142

Now,

According to the GRE score percentiles for 2020-20211,

A quantitative GRE score of 142 corresponds to the 7th percentile.

This means that 7% of test-takers scored below 142 on the quantitative section.

A good GRE percentile on the quantitative section depends on your target program, but generally speaking, a score above 165 is considered competitive

Therefore, by percentage the answer will be 18.18%.

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Step-by-step explanation:

P(rain and flight delayed) = P(rain) x P(flight delayed) = 0.07 x 0.19

= 0.013 (nearest thousandth)

Answer: 0.01

Step-by-step explanation:

the person above did it wrong, this answer is for sure correct.

If f is continous on [a,b], then f attains an absolute maximum value f(c) and absolute minimum value f(d) at some numbers c and d in [a,b] then it is a true statement

What is an absolute maximum?

An absolute maximum point is a point where the function obtains its greatest possible value. Similarly, an absolute minimum point is a point where the function obtains its least possible value.

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Answer:

the throwing back by a body or surface of light, heat, or sound without absorbing it.

"the reflection of light" The reflection factor of a body is the ratio of the light reflected by the body to the incident light.

Answer:

\(y=\frac{1}{2}x+2\)

Step-by-step explanation:

Using the points \((0,2)\) and \((2,3)\), the gradient is \(\frac{3-2}{2-0}=\frac{1}{2}\).

The \(y\)-intercept is \((0,2)\), so the equation is \(y=\frac{1}{2}x+2\).

Answer

y = kx

from the info given k=2

hence when x=8 y=16:

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

The mean (μ) for the given binomial distribution is 0.50.

To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:

a. When n = 5 and π = 0.10:

μ = 5 * 0.10

  = 0.50

For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.

b. When n = 3 and π = 0.40:

μ = 3 * 0.40

  = 1.20

In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.

c. When n = 5 and π = 0.50:

μ = 5 * 0.50

  = 2.50

For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.

d. When n = 3 and π = 0.80:

μ = 3 * 0.80

  = 2.40

In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.

The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.

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Answer:

\(x^3 + 3x\²y + 3xy^2 + y\) \(=283\)

\(When\ x = 3\ and\ y = 4\)

Step-by-step explanation:

Given

\(x^3 + 3x\²y + 3xy^2 + y\)

Required

Solve when x = 3 and y = 4

To do this, we simply substitute  3 for x and 4 for y in \(x^3 + 3x\²y + 3xy^2 + y\)

\(3^3 + 3 * 3^2 * 4 + 3 * 3 * 4^2 + 4\)

\(27 + 3 * 9 * 4 + 3 * 3 * 16 + 4\)

\(27 + 108 + 144+ 4\)

\(283\)

Hence:

\(x^3 + 3x\²y + 3xy^2 + y\) \(=283\)

\(When\ x = 3\ and\ y = 4\)

Answer:

2(14+z)

Step-by-step explanation:

9+7+5+7

16+5+7

21+7

28

28+z+z

28+2z

2(14+z)

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

The can's minimum surface area should have a height of 8 cm and a radius of 4 cm.

Given:

The volume of closed right circular cylindrical cans = 128π cm³

As we know the volume of a cylinder = πr²h

By equating;

πr²h = 128π

h = 128/r²

To get the dimensions of a can with minimum surface area;

S = 2πrh + 2πr

Put h = 128/r²;

Therefore, S(r) = 256π/r + 2πr²

                 S'(r) =  -256π/r² + 4πr

                S''(r) = -(2*256π)/r³ + 4π

Now, for S(r) = 0;

               r = 4cm

         for S''(4) > 0 at r = 4 is minimum point.

Hence,

h = 128π/(π*4*4)

h = 8cm

Therefore, the minimum surface area of the can should have a radius of 4 cm and a height of 8 cm.

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Answer:

Yes

Step-by-step explanation:

If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.

\(a^2+b^2=c^2\)

where a and b are the legs and c is the hypotenuse.

The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.

a=16

b=63

c=65

\(16^2+63^2=65^2\)

Evaluate each exponent.

16^2=16*16=256

\(256+63^3=65^2\)

63^2=63*63=3969

\(256+3969=65^2\)

65^2=65*65=4225

\(256+3969= 4225\)

Add 256 and 3969

\(4225=4225\)

The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.

Answer:

65.94 cm

Step-by-step explanation:

Answer:

66

Step-by-step explanation: I took the test

Answer:

h = 1.5 or 3/2 or 1 1/2

Step-by-step explanation: