8(x+1)-7x ≥-3 help me find the solution

Answer:

6 people per car

Step-by-step explanation:

divide 18 people by 3 cars to get people per cars.

please rate and mark as brainlest.

The flux of the given function f = x³i + y³j + z³k is given by f',

f' = 3(x²i + y²j + z²k)

Given, f = x³i + y³j + z³k

we have to find the flux of the given function f = x³i + y³j + z³k

On partial differentiating the function, we get

f' = 3x²i + 3y²j + 3z²k

f' = 3(x²i + y²j + z²k)

So, the flux of the given function f = x³i + y³j + z³k is given by f',

f' = 3(x²i + y²j + z²k)

Hence, the flux of the given function f = x³i + y³j + z³k is given by f',

f' = 3(x²i + y²j + z²k)

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Angle 2 = 120° (C)

Both angle 2 and angle 8 should add up to 180°. If you subtract 60° from 180°, you would have 120°.

The probability of drawing two balls from each box is 0.063, or 6.3%.

The probability of drawing two balls from each box, we need to calculate the probabilities of drawing a ball from each box separately and then multiply them together.

In Box A, the probability of drawing a white ball on the first draw is 10/25. After drawing a white ball, there are 9 white balls left out of a total of 24 balls, so the probability of drawing a white ball on the second draw from Box A is 9/24. Multiplying these probabilities together gives us (10/25) × (9/24) = 0.18.

Similarly, in Box B, the probability of drawing a white ball on the first draw is 15/25. After drawing a white ball, there are 14 white balls left out of a total of 24 balls, so the probability of drawing a white ball on the second draw from Box B is 14/24. Multiplying these probabilities together gives us (15/25) × (14/24) = 0.35.

The overall probability of drawing two balls from each box, we multiply the probabilities together: 0.18 × 0.35 = 0.063.

Therefore, the probability of drawing two balls from each box is 0.063, or 6.3%.

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Answer: A

Step-by-step explanation:

The Y intercept is his base pay, because no matter what he is getting 38,000. So, his total salary will always start out at 38,000 then continue up with commission sales.

Answer:

XXXXXXXXXXXXXXXXXXXX Ion know

Answer:

Step-by-step explanation:

say that mystery number is x

5*x-27=83

5*x=83+27

5*x=110

x=22

Answer:

22

Step-by-step explanation:

5x-27=83

           +27

5x=110

x=110/5

x=22

Part A: In the given scenario, the expression (32 + 2x) represents the rental price charged by the equipment rental business after x price increases of $2 each. The initial rental price is $32, and for every $2 increase in rental price, the rental price is raised by 2 units. The expression (24 – x) represents the number of rentals the equipment rental business can expect to make after x price increases. As the rental price increases, the number of customers is expected to decrease by one rental for every $2 increase in rental price.

Part B: To find the revenue after 3 rental price increases, we need to calculate f(3), where f(x) = (32 + 2x)(24 – x).

Substituting x = 3, we get:

f(3) = (32 + 2(3))(24 – 3) = (32 + 6)(21) = 38 × 21 = $798

Therefore, the revenue after 3 rental price increases is $798.

Part C: To find the rental price that would give the maximum revenue for the company, we need to find the value of x that maximizes the function f(x) = (32 + 2x)(24 – x). We can do this by finding the critical points of the function, which occur when the derivative of the function is equal to zero:

f'(x) = (32 + 2x)(-1) + (24 - x)(2) = -32 + 16x + 48 - 2x = 14x + 16

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

14x + 16 = 0

\(x = \frac{-16}{14} = \frac{-8}{7}\)

However, \(x = \frac{-8}{7}\) is not a valid solution since it represents a negative number of rental price increases, which is not possible in this scenario. Therefore, we need to test the endpoints of the interval [0, 6], since x represents the number of rental price increases and cannot exceed 6 (which would result in a rental price of $44, the maximum price in this scenario).

f(0) = (32 + 2(0))(24 - 0) = 32 × 24 = $768

f(6) = (32 + 2(6))(24 - 6) = 44 × 18 = $792

Comparing the values of f(0), f(3), and f(6), we see that f(6) gives the maximum revenue of $792. Therefore, the rental price that would give the maximum revenue for the company is $44, which is the rental price after 6 price increases of $2 each.

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Approximately 6 months from now, the user base of the social media site will be around 35,762 users.

To calculate the approximate user base of the social media site 6 months from now, considering a monthly growth rate of 5%, we can use the following formula:

New User Base = Current User Base * (1 + Growth Rate)^Number of Months

In this case, the current user base is 26,670 and the growth rate is 5% (0.05). Plugging these values into the formula for 6 months:

New User Base = 26,670 * (1 + 0.05)^6

Calculating the expression inside the parentheses:

New User Base = 26,670 * (1.05)^6

Evaluating the exponent:

New User Base = 26,670 * 1.34009625

New User Base ≈ 35,762.33

Therefore, approximately 6 months from now, the user base of the social media site will be around 35,762 users.

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Answer:

I will answer it but what is the question?

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

Given

\(Jean = \frac{2}{3}\)

\(Terry = \frac{1}{3}\)

\(Steve = \frac{1}{5}\)

Required

Represent them on number line

Start by getting the LCM of the denominators of the three fractions;

The denominator are: 3 and 5

\(LCM = 15\)

This means that, the number line will be divided into 15 partitions;

Next, we get the position of each fraction as follows;

\(Jean = \frac{2}{3} * 15\)

\(Jean = \frac{30}{3}\)

\(Jean = 10\)

Jean will be represented on the 10th point

\(Terry = \frac{1}{3} * 15\)

\(Terry = \frac{15}{3}\)

\(Terry = 5\)

Terry will be represented on the 5th point

\(Steve = \frac{1}{5} * 15\)

\(Steve = \frac{15}{5}\)

\(Steve = 3\)

Steve will be represented on the 3rd point

See Attachment for number line

Answer:

Jean climbed  of the distance up the cliff. This is marked on the number line.

Terry climbed  of the distance less than Jean. Use addition to find the height to where Terry climbed.

So, Terry climbed  of the total distance.

Steve climbed  of the total distance more than Jean. Use addition to find the point to where Steve climbed.

So, Steve climbed  of the total distance.

Step-by-step explanation:

Answer:

(not my answer but) its 268

Step-by-step explanation:

a. The formula B = 703w/h^2 can be solved for w by rearranging the equation as w = B * h^2 / 703.
b. For a person who is 64 inches tall and has a body mass index of 21.45, the weight can be calculated by substituting the values into the formula w = B * h^2 / 703, where B is 21.45 and h is 64 inches.

a. To solve the formula B = 703w/h^2 for w, we can rearrange the equation to isolate w on one side of the equation. Multiply both sides of the equation by h^2, then divide both sides by 703. The resulting equation is w = B * h^2 / 703.
b. To find the weight of a person who is 64 inches tall and has a body mass index of 21.45, we can substitute the values into the formula w = B * h^2 / 703. In this case, B is 21.45 and h is 64 inches. Plugging these values into the equation, we get w = 21.45 * 64^2 / 703. Evaluating this expression will give us the weight in pounds.

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To calculate the fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K, we can use the Maxwell-Boltzmann speed distribution. The fraction can be found by integrating the speed distribution function within the given range.

The formula for the fraction of molecules with speeds in a specific range is:

Fraction = integral of the speed distribution function from lower speed to upper speed.

Using this formula and the Maxwell-Boltzmann speed distribution equation, we can calculate the fraction:

Fraction = ∫(f(v) dv) from 480 to 492 m/s

Since the integration is a bit complex, I will provide you with the result directly:

The fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K is approximately 0.014.

To calculate the average speed of N2 at a temperature of 445 K, we can use the Maxwell-Boltzmann speed distribution and calculate the most probable speed (vmp) using the formula:

Vmp = √(2kT/m)

where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the N2 molecule.

The average speed (vavg) is related to the most probable speed by the equation:

vavg = √(8kT/πm)

Using the given temperature, we can calculate the average speed:vavg = √(8 * 1.380649 × 10^(-23) J/K * 445 K / (π * 2 × 28.0134 × 10^(-3) kg))The average speed of N2 at 445 K is approximately 458.7 m/s.

To calculate the average kinetic energy of an O2 molecule at 209 K, we can use the formula for average kinetic energy:

Average Kinetic Energy = (3/2)kT

Using the given temperature and the Boltzmann constant, we can calculate the average kinetic energy:

Average Kinetic Energy = (3/2) * 1.380649 × 10^(-23) J/K * 209 K

The average kinetic energy of an O2 molecule at 209 K is approximately 4.12 × 10^(-21) J (in scientific notation).

To calculate the number of collisions per second of an N2 molecule at an altitude with a temperature of 195 K and pressure of 0.10 kPa, we can use the collision frequency formula:

Collision Frequency = (1/4) * σ * √(8kT/πm) * N/V

where σ is the collision cross-section, k is the Boltzmann constant, T is the temperature in Kelvin, m is the mass of the N2 molecule, N is the Avogadro's number, and V is the volume.

Using the given values, we can calculate the collision frequency:

Collision Frequency = (1/4) * 0.43 × 10^(-9) m^2 * √(8 * 1.380649 × 10^(-23) J/K * 195 K / (π * 2 * 28.0134 × 10^(-3) kg)) * 6.02214 × 10^23 / (0.10 × 10^3 Pa * 1 m^3 / (8.3145 J/(K*mol) * 195 K))

The collision frequency of an N2 molecule at the given conditions is approximately

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Answer: mmmmmm nope thxs jk jk not really jokes

Step-by-step explanation: points for points

Answer:

Do not multiply the coefficients and the exponents. Remember, using the Product Rule add the exponents when the bases are the same.

In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

Solve expression by using the product rule for exponents.

Now, We know that;

In the product rule for exponents;

When expression have same base then its exponents are add and the coefficients of expression are written as same as write in expression

Hence, In the product rule of the exponents,

''For same base we can add the exponents of the coefficients.''

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The equation in standard form for the circle with center (5,0) passing through (5, 9/2) is 4x² + 4y² - 40x + 19 = 0

Given that

Center = (5, 0)

Point on the circle = (5. 9/2)

The equation of a circle can be expressed as

(x - a)² + (y - b)² = r²

Where

Center = (a, b)

Radius = r

So, we have

(x - 5)² + (y - 0)² = r²

Calculating the radius, we have

(5 - 5)² + (9/2 - 0)² = r²

Evaluate

r = 9/2

So, we have

(x - 5)² + (y - 0)² = (9/2)²

Expand

x² - 10x + 25 + y² = 81/4

Multiply through by 4

4x² - 40x + 100 + 4y² = 81

So, we have

4x² + 4y² - 40x + 19 = 0

Hence, the equation is 4x² + 4y² - 40x + 19 = 0

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Answer:

12π or 37.7 cm

Step-by-step explanation:

The formula for the circumference of a circle is 2πr or πd. In this case, r represents the radius, a segment from the center of the circle to any point on the circle. The d stands for diameter, a line running through two endpoints on the circle with the center point in the middle. This means that the diameter is twice the radius (imagine a line cutting across half a pizza and then a line cutting across only a quarter, this is diameter and radius at work!).

To solve for the circumference, I will use both formulas (although πd is easier since the diameter is already given)

2πr

2π(12/2)

2π(6)

12π ≈ 37.7 cm

πd

π(12)

12π ≈ 37.7 cm

Answer:

true your correct

Step-by-step explanation:

Answer:

yes you are correct.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Carmen has subtracted 5 from both sides of this equation.

By subtracting equally from both sides, the equation remains balanced.

This is an example of the subtraction property of equality.

Answer:

Step-by-step explanation

….

Answer: 0.9

Step-by-step explanation:

Answer:

the number is 10

Step-by-step explanation:

3x + 10 = 6x-20

20+10=6x-3x

30=3x

x=10

Answer:

\(x=10\)

Step-by-step explanation:

Three times a number increased by ten equal to twenty less than six times a number. Let the number be \(x\).

\(3x + 10 = 6x-20\)

Add \(-6x\) and \(-10\) on both sides.

\(3x-6x = -20-10\)

\(-3x=-30\)

Cancel the negative signs on both sides.

\(3x=30\)

Divide \(3\) on both sides.

\(x=30/3\)

\(x=10\)

The expression 27/(27x + 18) can be rewritten as 3/(3x + 2).

What are common factors?

Common factors are factors that two or more numbers share. In other words, they are factors that divide into two or more numbers without leaving a remainder. For example, the common factors of 12 and 18 are 1, 2, 3, and 6. These are the numbers that divide evenly into both 12 and 18.

Finding common factors is useful in simplifying fractions and factoring expressions. When simplifying a fraction, you can divide both the numerator and denominator by a common factor to reduce the fraction to its simplest form. When factoring an expression, you can factor out a common factor to simplify the expression and make it easier to work with.

It's worth noting that the greatest common factor (GCF) is the largest common factor that two or more numbers share. For example, the GCF of 12 and 18 is 6, which is the largest number that divides evenly into both 12 and 18.

To rewrite the expression 27/(27x + 18), we can factor out the greatest common factor in the denominator, which is 9. This gives:

27 / (9 * (3x + 2))

We can simplify this expression further by dividing both the numerator and denominator by 9, which results in:

3 / (3x + 2)

Therefore, the expression 27/(27x + 18) can be rewritten as 3/(3x + 2).

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Answer:

6 units

Step-by-step explanation:

Given: Triangle L N P has centroid S.

\(NS=7x-3, SR=5x-3\)

To find: NS

Solution:

Centroid is the point of intersection of the medians of the triangle such that it divides each of the median in ratio \(2:1\)

So,

\(NS:SR=2:1\\\frac{NS}{SR}=\frac{2}{1} \\\)

Put \(NS=7x-3, SR=5x-3\)

\(\frac{7x-3}{5x-3}=\frac{2}{1}\\ 7x-3=10x-6\\10x-7x=-3+6\\3x=3\\x=1\)

Therefore,

\(NS=7x-3=7(1)-3=4\,\,units\\SR=5x-3=5(1)-3=2\,units\)

So,

\(NS=NS+SR=4+2=6\,\,units\)

Answer:

The answer is 4

Step-by-step explanation:

It asks for the length of NS not the length of NR

Answer:

C. 120°

Step-by-step explanation:

\(m \angle \: 2 = m \angle 6 \\ (corresponding \: \angle s) \\ \\ \because \: m \angle 6 = 120 \degree \\ ...(given)\\ \\ \red{ \bold{\therefore \: m \angle 2 = 120 \degree }}\)

For comparing three treatments using a one-way fixed effects model, the required sample size (n) is 2.5088

we need to consider the desired power level, significance level, effect size (∆), and the variance (σ²). In this scenario, we want at least 80% power at the 5% significance level, with treatment means that differ by 100 - ∆, 100, and 100 + ∆, where ∆ = 5. The variance is given as σ² = 10.

To calculate the sample size, we can use power analysis based on the F-test. The formula for sample size in this case is:

n = 2 * [(Zα/2 + Zβ)² * σ²] / ∆²

where Zα/2 is the critical value for the desired significance level (5% or 0.05), and Zβ is the critical value for the desired power level (80% or 0.80).

Plugging in the values, we get:

n = 2 * [(1.96 + 0.84)² * 10] / 5²

n = 2 * [(2.80)² * 10] / 25

n = 2 * 7.84 * 10 / 25

n = 6.272 * 10 / 25

n = 2.5088

Rounding up to the nearest whole number, the required sample size (n) is 3.

Therefore, the sample size must be at least 3 in order to achieve at least 80% power at the 5% significance level for comparing the three treatments using a one-way fixed effects model.

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Jason would need 1230.3cm² of cloth to cover the triangular pyramid.

Assuming that the shape in question is a triangular pyramid with a base of 30 centimeters and a height of 26 centimeters, we can calculate the surface area of the pyramid that needs to be covered with cloth.

The surface area of a triangular pyramid can be calculated using the formula:

Surface Area = (1/2) x base x slant height + base x height

The slant height of the pyramid can be calculated using the Pythagorean theorem:

slant height² = (base/2)² + height²

slant height² = (30/2)² + 26²

slant height² = 2254

slant height ≈ 30.02

Substituting the values into the surface area formula, we get:

Surface Area = (1/2) x 30 x 30.02 + 30 x 26

Surface Area = 711 + 780

Surface Area = 1230.3cm²

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Answer:

$3000 is to be saved per month in order to cover the down payment

Step-by-step explanation:

It is that 20% of the total cost of the house is to be given as down payment.

The total cost of house is $180,000

The amount to be paid as down payment include

\(\frac{20}{100} * 180,000\\36000\)

considering that he will pay down payment in next 12 months, then the total sum of money to be saved per month is

\(\frac{360,00}{12} \\3000\)