can you solve for x −68<8x−4<−36

Answer:

E

Step-by-step explanation:

50 × 2 =100 cevap 120 olucak ve 4 fazla o zaman 120 +4 =124 ediyor yani 16 daha eklememiz lazım cevap E

The given differential equation is y' - (y/x) = y²Where y is a function of x.

The solution of the given differential equation is given below Option (e) y = (1/c) (x - x ln x)

y' - (y/x) = y²

We first check whether the given differential equation is a Bernoulli differential equation. It is not a Bernoulli differential equation. Hence we cannot directly solve the given differential equation.

Using the integrating factor method, we get

Integration factor, I(x) = e^(∫(1/x)dx) = e^(ln x) = x

1. Multiplying the integrating factor to the given differential equation, we get

x y' - y = x y²

This is a linear differential equation with variable coefficients.

The standard form of the linear differential equation with variable coefficients is given below:

y' + p(x) y = q(x) where p(x) = -1/x and q(x) = x y²

2. Multiplying the integrating factor, we get x y' - y = x y²

3. Multiplying the integrating factor x on both sides, we get x² y' - xy = x³ y²

4. Differentiating both sides with respect to x, we get

2xy' + x² y'' - y - 2x y' = 3x² y y'

On simplifying, we getx² y'' + 3x y' - 2y = 0

This is a homogeneous differential equation. We substitute y = ux, where u is a function of x. On substituting we getx² u'' + 2x u' = 0

5. On simplifying, we get u' = -c/x²

6. On integrating, we get u = c/x + d where c and d are arbitrary constants.

Substituting u = y/x, we get y/x = c/x + d

Hence the solution of the given differential equation is y = c - x ln x

where c = 1

The correct option is (e).Option (e) y = (1/c) (x - x ln x)

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Answer:

24x^2-36x+60

Step-by-step explanation:

1 2 ( 2 ^ 2 − 3 + 5 )

12 x 2 = 24x^2

12 x -3 = -36x

12 x 5 = 60

Basically multiplying and then putting it like that.

Answer:

9. - 7/12

10. -3.45

11. 1.844

Step-by-step explanation:

Answer:

Solution given:

2:centroid=\(\frac{x_1+x_2+x_3}{3},\frac{y_1+y_2+y_3}{3}\)

=\(\frac{1+3+5}{3},\frac{2+7+3}{3}=(3,4)\)

4:

Slope:\(\frac{y_2-y_1}{x_2-x_1}=\frac{6-2}{5-3}=2\)

3;

perpendicular distance =\(\frac{ax_1+by_1+c}{\sqrt{a²+b²}}\)

\((x_1,y_1)=(3,-2)\)

4x-3y+2=0

comparing above equation with ax+by+c =0 ,we get

a=4

b=-3

c=2

d=\(\frac{4*3+(-3*-2)+2}{\sqrt{4²+(-3)²}}\)

=4 units

The curl of the linear velocity of a rigid body at any point is equal to twice its angular velocity. This relationship can be derived by considering the rotational motion of the body and utilizing the properties of curl and angular velocity.

To prove that the curl of the linear velocity of a rigid body at any point is twice its angular velocity, we need to consider the rotational motion of the body. Let's denote the linear velocity vector as v(r), where r is the position vector with respect to a fixed point in the body.

The angular velocity vector, denoted as ω, describes the rate at which the body is rotating. It is perpendicular to the plane of rotation and has a magnitude equal to the rotational speed. The angular velocity vector can be expressed as ω = ω_hat × r, where ω_hat is the unit vector in the direction of the rotational axis.

The linear velocity at a point can be decomposed into two components: one due to the translational motion of the body's center of mass and the other due to the rotational motion about the center of mass. We can express the linear velocity as v(r) = v_cm + ω × r, where v_cm is the velocity of the center of mass.

Taking the curl of v(r), we have:

∇ × v(r) = ∇ × (v_cm + ω × r)

Using the properties of the curl, we can distribute the curl operation:

∇ × v(r) = ∇ × v_cm + ∇ × (ω × r)

The first term, ∇ × v_cm, represents the curl of the center of mass velocity. As the center of mass moves in a purely translational motion, its curl is zero:

∇ × v_cm = 0

Now, let's focus on the second term, ∇ × (ω × r). Applying the vector identity for the curl of a curl, we have:

∇ × (ω × r) = ω (∇ · r) - r (∇ · ω) + (∇ · ω) r - ω (∇ · r)

Since r and ω are both functions of time, we can rewrite (∇ · r) as the divergence of the position vector r:

∇ · r = ∇ · r(t) = d/dt (∇ · r) = d/dt (3) = 0

As the divergence of r is zero, the first and fourth terms cancel out. Also, since the divergence of the angular velocity ω is zero (assuming a divergence-free field), the second and third terms cancel each other. Therefore:

∇ × (ω × r) = 0

Combining the results, we find:

∇ × v(r) = 0 + 0 = 0

We have shown that the curl of the linear velocity v(r) is zero, which means the linear velocity is curl-free. However, the curl of the angular velocity ω is given by:

∇ × ω = 2ω

Comparing the two equations, we can conclude:

∇ × v(r) = ∇ × (v_cm + ω × r) = 0 = 2ω

Thus, the curl of the linear velocity of a rigid body at any point is equal to twice its angular velocity, as desired.

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Answer:

9.5

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

there you go <3

Alex didn't answer it correctly, because if you see the part where it says  -5x - (-7...

it has two minus signs, one in front of the parantheses, and one behind it.

Since they cancel each other, the 7 would be positive.

The equipment acquired at the beginning of the year had a value of $7,620.

⇒ Debit: Cash/Bank Account = $59,200

   Debit: Accumulated Depreciation = $26,140

   Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or        ($6,920) (if loss)

   Credit: Equipment = $78,420

At the beginning of the year, equipment with a value of $7,620 was acquired. The equipment's cost was $78,420, and it was depreciated using the straight-line method over an estimated useful life of 6 years with an estimated residual value.

a. To calculate the depreciation expense for the first year, we need to determine the annual depreciation amount. The formula for straight-line depreciation is:

Annual Depreciation Expense = (Cost - Residual Value) / Useful Life

Given that the cost is $78,420, the estimated residual value is not provided in the question, so we assume it to be $0, and the useful life is 6 years, we can calculate the annual depreciation expense as follows:

Annual Depreciation Expense = ($78,420 - $0) / 6 = $13,070

Therefore, the depreciation expense for the first year is $13,070.

b. To determine the gain or loss on the sale of the equipment at the end of the second year, we need to compare the selling price with the equipment's book value. The book value can be calculated as follows:

Book Value = Cost - Accumulated Depreciation

Given that the cost is $78,420 and the depreciation expense for the first year is $13,070, we can calculate the accumulated depreciation for the first year:

Accumulated Depreciation (Year 1) = Depreciation Expense (Year 1) = $13,070

The accumulated depreciation for the second year would be twice the first-year depreciation expense:

Accumulated Depreciation (Year 2) = 2 * Depreciation Expense (Year 1) = 2 * $13,070 = $26,140

Now we can calculate the book value at the end of the second year:

Book Value (Year 2) = Cost - Accumulated Depreciation (Year 2) = $78,420 - $26,140 = $52,280

Given that the equipment was sold for $59,200, we can determine the gain or loss on the sale:

Gain or Loss = Selling Price - Book Value = $59,200 - $52,280 = $6,920

Therefore, there is a gain of $6,920 on the sale of the equipment.

c. Journal entry to record the sale:

Debit: Cash/Bank Account = $59,200

Debit: Accumulated Depreciation = $26,140

Debit/Credit: (Gain) or Loss on Sale of Equipment = $6,920 (if gain) or ($6,920) (if loss)

Credit: Equipment = $78,420

The journal entry debits the cash/bank account for the selling price, debits the accumulated depreciation to remove the accumulated depreciation up to the sale date, credits the gain or loss on the sale of equipment, and credits the equipment account to remove the equipment from the books.

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Answer:

n=23

Step-by-step explanation:

4-23=19

meme

Answer:

-23

Step-by-step explanation:

-23+4= -19

Answer:

29900 feet

Step-by-step explanation:

First, we calculate the derivative of the function h(t):

\(\frac{d}{dh} = -18.2(t-32.5)\\\\\)

After we have the derivative function - we insert 0 on the left side of the equation to find all possible function local maxima:

\(0 = -18.2(t-32.5)\\t = 32.5\)

From above equation we know the plane reached maximum height at time of 32.5 seconds, now we just insert the calculated value into the original function:

\(-9.1* 32.5^2+591.5 * 32.5+20288.125 = 29900\)

Voila! :D

Answer:

2(3 + 8k)

Step-by-step explanation:

GCF of 6 and 16 is 2.

6 + 16k = 2(3 + 8k)

Given the sequence:

You need to remember that:

- In a Geometric Sequence, each term is found by multiplying the previous term by a constant called "Common ratio".

- In an Arithmetic Sequence, the difference between a term and its previous term is constant.

In this case, you can check if it is a Geometric Sequence by dividing the terms by the corresponding previous term:

It is not a Geometric Sequence, because it does not have a Common Ratio.

To check it if is an Arithmetic Sequence, find the difference between the terms:

As you can see, it is not an Arithmetic Sequence, because the difference between the terms is not constant.

Then, the sequence is neither geometric nor arithmetic.

Knowing this, you need to find a Recursive Formula for the sequence. You can identify that:

However, as you can notice, there is not a defined pattern between the terms shown in the exercise. Therefore, it cannot be solved.

Therefore, you can determine that the answer is: It is a Recursive Pattern. It cannot be solved.

The given problem can be solved using the following formulae and procedures: Failure rate is the frequency with which an engineered system or component fails, normally expressed in failures per million hours (FPMH) or in percentage per year.

Failure rate is calculated using the formula FR = Number of failures / Total time Units of Failure rate is percentage per year or failures per million hours.FR(%): Failure rate in percentage per year FR(N): Failure rate in failures per million hours MTBF: Mean Time Between Failures For the given problem, Number of batteries, n = 5

Design life, L = 72 months

Test results = 1 failure at 24 months, 1 failure at 30 months, 1 failure at 48 months, and 1 failure at 60 months. Failure rate is calculated by using the formula: FR = Number of failures / Total time Since all the batteries have different lifespan, calculate the total time for which batteries were used.

Total time, T = 24 + 30 + 48 + 60T

= 162 months

FR = 4 / 162 FR(%):To convert FR from failures per month to percentage per year, use the formula:

FR(%) = (1 - e^(-FR*t)) x 100%

Where, t = 1 year = 12 months

FR(%) = (1 - e^(-FR*t)) x 100%Putting the given values:0.29% is the annual failure rate of the Everstart battery after the given test. Frequency of Failure (FR(N)) is given by:

FR(N) = (Number of failures / Total time) x 10^6FR(N)

= (4 / 162) x 10^6FR(N)

= 24,691.358 failure per million hours.

Mean Time Between Failures (MTBF) can be calculated using the following formula: MTBF = Total time / Number of failures MTBF = 162 / 4

MTBF = 40.5 months

Therefore,FR(%) = 0.29%, FR(N) = 24,691.358 failures per million hours, and MTBF = 40.5 months.

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By the concept of Semi-annually compounding In 2 half years the account will contain $100,000.

Semi-annually compounding interest means that the principal of a loan or investment, in this example every six months, at the start of the compounding period, includes the entire interest from each prior period. Theoretically, continuously compounded interest means that interest is continuously earned on an account balance as well as reinvested into the balance to increase future interest earnings. The amount of interest due on simple interest loans and investments is determined solely by the initial principle sum. When interest is compounded, the principle is increased by the sum of the interest from each prior month. You pay interest on interest when taking out loans with compound interest. You receive interest on the interest if your investment earns compound interest.

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The honey badger, seen in the image above, lives in the A.steppe and woodlands of Central Asia

Honey badgers, also known as ratels, are primarily found in Africa, Southwest Asia, and the Indian subcontinent. They inhabit a range of environments, including savannas, grasslands, forests, and even deserts.

Honey badgers are known for their adaptability and can make dens in various locations, such as hollow logs, rock crevices, burrows dug by other animals, or even abandoned termite mounds. They are highly nomadic and do not have a fixed dwelling place, often moving around in search of food.

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Answer:

skewed to the left

Step-by-step explanation:

A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.

If the mean is greater than the median, the histogram would be skewed to the right

If the mean is less than the median, the histogram would be skewed to the left.

The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left

Answer:

The paint will not fill the tray by 10.53 in3.

Step-by-step explanation:

Length = 14 inches

Width = 10 inches

Depth = 4 cm = 1.57 inches

Volume = length x width x depth

Volume = 14 x 10 x 1.57

= 220.47 inches cube

Volume of Gallon = 231 inches cube

9 block rhombuses would create 3 hexagons.

In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.

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Answer:

1) 45

2) 52

3) 48

4) 121

5) (30÷100)×50= 15

6) 60= (20÷100)×(x)

x= 60÷ (20÷100)= 300

7) 0.375

8) 37.5%

9) 0.45

10) 9/20

Hope this helps!!

the answers are in the picture

Answer:

Step-by-step explanation:

slope = m

m = y2-y1  /  x2 - x1

m = (-4) - 7  / (-6) - (-4)

m = -11 /  (-6) + 4

m = -11 / -2

m = 11/2

:)

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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Answer:

.53 pounds of dog food each day.

Step-by-step explanation:

Use PEMDAS to solve

The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer

Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.

Stem displays data on the left while leaf displays data to the right

The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:

2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23

3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35

4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46

4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47

5 I    ⇒ 5 on the stem as 5

5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50

6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65

8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86

Hence, stems are 0, 2, 3, 4, 5, 6, 8

Therefore, option e, is the correct answer

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The volume of the cone that was drawn by Mia is equal to 150.816 cubic inches.

Mathematically, the volume of a cone is given by this formula:

\(V = \frac{1}{3} \pi r^2h\)

Where:

Given the following data:

Radius of cone = 4 inches.

Height of cone = 9 inches.

Substituting the given parameters into the formula, we have;

Volume = 1/3 × 3.142 × 4² × 9

Volume = 3.142 × 16 × 3

Volume = 150.816 in³

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Answer:

1- $5.54

2- $6.03

3- $17.94

4- $1.20

5- $8.14

Step-by-step explanation:

1. 3.58 a pound a cheese

3.58/2 =1.79 half a pound

1.25x3 =3.75

3.75+1/79= $5.54

total cost was then $5.54

2. 2.69-0.50coupon= 2.19 toothpaste

2.19+0.49+1.29= $3.97

10-3.97= $6.03

He has a total of $6.03 left

3. 4.39x3= 13.17

49+13.17+19.89= 82.06

100-82.06= 17.94

She put $17.94 in her savings

4. 2.89x5= 14.45

14.45+3.25+3.50= 21.2

21.2-20= 1.20

He needed $1.20 more

5. 3.75/3= 1.25

1.25+2.50+4.39= 8.14

The total was $8.14

1. $5.50 in total

2. $6.03 money left

3. $17.94 money put in her savings

4. $1.20 dollars needed

5. $8.14 total cost

1. $3.58 ÷ 2 = $1.75 of the cheese

$1.25 × 3 = $3.75 of energy bars

$1.75 + $3.75 = $5.50 in total

2. $2.69 - $0.50 = $2.19

$2.19 + $1.29 + $0.49 = $3.97

$10 - 3.97 = $6.03 money left

3. $4.39 × 3 = $13.17

$49.00 + $13.17 + $19.89 = $82.06

$100 - $82.06 = $17.94 money put in her savings

4. $2.89 × 5 = $14.45

$14.45 + $3.25 + $3.50 = $21.20

$21.2 - $20 = $1.20 dollars needed

5. $3.75 ÷ 3 = $1.25

$1.25 + $2.50 + $4.39 = $8.14 total cost

Hope this helps! ^-^

One mole of nitrogen gas (N2) contains 2 moles of nitrogen atoms. Therefore, if we have 7 moles of N2 molecules, we have 7 x 2 = 14 moles of nitrogen atoms.

Since one mole of any element contains 6.022 x 10^23 atoms, 14 moles will contain:

14 x 6.022 x 10^23=8.44 x 10^24N atoms.

Therefore, the appropriate  is option C) 8.44 x 10^24 atom.

For this question, we use the mole concept of Avogadro's number. One mole of any substance contains 6.022 x 10^23 atoms, molecules or particles. Hence, if we want to find the number of atoms of nitrogen in 7 moles of nitrogen gas, we must first calculate the number of moles of nitrogen atoms present in it.

To find the number of moles of nitrogen atoms present in 7 moles of N2 molecules, we will use the stoichiometric coefficient.

The stoichiometric coefficient of nitrogen in N2 is 2. Therefore, one mole of nitrogen gas contains 2 moles of nitrogen atoms. As such, we can determine that 7 moles of N2 molecules contain 7 x 2 = 14 moles of nitrogen atoms.

Now that we know the number of moles of nitrogen atoms present, we can calculate the number of atoms present in 14 moles of nitrogen atoms.

By using Avogadro's number, we know that 1 mole of nitrogen atoms contains 6.022 x 10^23 atoms of nitrogen.

Therefore, 14 moles of nitrogen atoms will contain:

\(14 x 6.022 x 10^23 = 8.44 x 10^24 N atoms.\)

So option C) \(8.44 x 10^24 atom.\)

Thus, 7.00 moles of N2 molecule contains 8.44 X 10^24 N atoms.

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(a) E and F are not mutually exclusive due to the overlapping value of 8. So the answer is No or option A.

(b) F and G are mutually exclusive since they have no common outcomes. So the answer is No or option A.

a) E and F are not mutually exclusive. To be mutually exclusive, two events cannot occur simultaneously. In this case, both E and F have an overlapping value of 8. The interval (8,9) is included in both E and F, indicating that there is a common outcome (8) between the two events.

Therefore, E and F are not mutually exclusive.

b) F and G are mutually exclusive. In order for two events to be mutually exclusive, they must have no common outcomes. Looking at the intervals (7,8) and (4,6,9), there is no overlapping value between F and G. F includes the value 7, which is not present in G, and G includes the values 4, 6, and 9, which are not present in F.

Therefore, there are no common outcomes between F and G, making them mutually exclusive.

In summary, E and F are not mutually exclusive due to the overlapping value of 8, while F and G are mutually exclusive since they have no common outcomes.

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