2(x - 3) = -8

can someone explain to me how to slove this without calculator please and thank you<3​

Using the mean concept, the ratio of the number of female attendants to the number of male attendants was of 3.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem:

Hence:

\(\frac{1200f + 800m}{f + m} = 900\)

1200f + 800m = 900f + 900m

100m = 300f

\(\frac{f}{m} = 3\)

Hence the ratio was of 3.

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On evaluating the value of the expression  [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .

In the question ,

the expression is given as

[4.2−3(2.1)] + 1 (-0.2)²

the value of (-0.2)²= (-0.2)*(-0.2)

                              = 0.04

Substituting the value of (-0.2)² in expression , we get

=[4.2−3(2.1)] + 1*0.04

=[4.2−3(2.1)] + 0.04

Solving the terms inside [ ] , we have

multiplying 3 with 2.1 we get

3*2.1= 6.3

Substituting it in the expression above we get

= [4.2−6.3] + 0.04

Simplifying further , we get

= -2.1 + 0.04

= -2.06

Therefore , on evaluating the value of the expression  [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .

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Answer:

Step-by-step explanation:

The answer is -2.06.

hope you get a good grade!!!

Answer:

use a calulator hint muliply everything

Step-by-step explanation:

The midpoint of the segment \( \overline{HJ}\), (which is a straight line), is collinear to \( \overline{HJ}\). The statement, if I is not the midpoint of \( \overline{HJ}\) then H, J, and I are collinear is therefore;

The given statement is as follows;

If I is not the midpoint of

\( \overline{HJ}\)

Then H, I, and J are collinear.

Given that segment \( \overline{HJ}\) is a straight line, the midpoint of \( \overline{HJ}\) is therefore always collinear with \( \overline{HJ}\).

Therefore, if I is not the midpoint of \( \overline{HJ}\), H, J, and I may or may not be collinear

The statement is therefore sometimes true.

The correct option is the third option;

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Answer: 2.1 cm per minute

Step-by-step explanation:

567/27 =21 mm

convert mm to cm (1mm = 0.1c,)

21mm = 2.1cm

Answer:

2.1 cm or 21 mm

Step-by-step explanation:

567 ÷ 27 = 21

Therefore the turtle can crawl 21 mm in a minute.

To covert mm to cm, we simply divide by 10.

21 ÷ 10 = 2.1

The equations with no solutions are   −60x+32=−60x+60 and −60x+32=−60x−32. Options B and D

Algebraic expressions are described as expressions that are made up of terms, variables, coefficients, constants and factors.

They are also composed of arithmetic operations, such as;

From the information given, we have that the expression or equation without solutions are those with the value of x as 0.

−60x+32=−60x+60

collect like terms

-60x + 60x = 28

Hence, the equations are  −60x+32=−60x+60 and −60x+32=−60x−32

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Answer:

x = 69

Step-by-step explanation:

By exterior angle theorem:

x° + 43° = 112°

x° = 112° - 43°

x ° = 69°

x = 69

For this expression,a=15,b=7 and c=4

Good luck on your assignment

The product of f(x) and g(x) is -2x² +16x -24.

A function is a relation such that there is only one unique output for every input.

Given that, the functions, f(x) = x-6 and g(x) = -2x + 4.

The value of f(x) × g(x) is,

f(x) × g(x)

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

= -2x²+4x + 12x -24

= -2x² +16x -24

Hence, the product of f(x) and g(x) is -2x² +16x -24.

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The population size of the protozoa after seven days, starting with an initial population of five members and a constant relative growth rate of 0.469 per member per day, can be calculated using the formula\(P(t) = 5 * e^{(0.469 * 7)\).

Part 1 of the question establishes that the relative growth rate of the protozoa population is 0.469 per member per day. This information helps us define the differential equation that represents the growth: dP/dt = 0.469P.

Part 2 introduces the exponential growth formula for population growth, which states that \(P(t) = P(0)e^{kt\) where P(t) is the population size at time t, P(0) is the initial population size, k is the growth rate, and e is the base of the natural logarithm.

To find the population size after seven days, we substitute the given values into the formula: \(P(t) = 5 * e^{(0.469 * 7)\). Evaluating this expression yields the final answer, which represents the population size of the protozoa after seven days.

Note: The calculation itself is not included in the answer as the model response is limited to explaining the approach.

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a) f is strictly increasing function then f is one to one

b) f: R-> R such that f(x) = x^n where n is even is not one to one

suppose that f is strictly increasing function

we have to prove that f is one to one

let us assume f(x1) = f(x2)

we have to prove x1=x2

since f is strictly increasing function

then x2>x1 and x1> x2

this implies that x1=x2

and Hence f is one to one function

b) f:R->R such that f(x) = x^ n where n is even is not one to one

because f(1)= f( -1)

but -1 is not equal to 1 therefore f is not one to one function

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Answer:

it -8 2÷-14=-7 x=-7

-7+-1=-8

Answer:

angle F, angle HFG

Step-by-step explanation:

There are two ways to 'name' angles, either by the name of the vertex where the angle takes place. or by the indeces with the angle's vertex in the middle.

Thus giving us either angle F, or angle HFG

Answer:

angle F, angle HFG

Step-by-step explanation:

The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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Answer: 1.5

Step-by-step explanation: 1.5 is correct because you have to do 0.6666... to the power of -1.

x^n=0.66666666^−1

=1/0.66666666^1

=1.500000015 which is rounded to 1.5. (Trust me 1.5 is correct.)

6 is incorrect because the other dude just did 2/3^-1 which did 2 divided by 3^-1, not 2/3 ^-1.

When a converging lens with a focal length of 10.6 cm is held 8.10 cm in front of a newspaper with a print size of 2.06 mm, the image formed by the lens is virtual, upright, and magnified. The height of the image is 8.32 mm.

The characteristics of the image formed by a lens can be determined by using the thin lens equation and the magnification equation. The thin lens equation relates the object distance, image distance, and focal length of the lens. The magnification equation relates the size of the object and the size of the image.

In this problem, the lens is held 8.10 cm in front of the newspaper, which is the object. The focal length of the lens is 10.6 cm. Using the thin lens equation, we can find the image distance, which is 0.322 m. The negative sign of the magnification value indicates that the image is inverted with respect to the object. The magnification value of -3.98 indicates that the image is magnified, which means that it appears larger than the object.

To find the height of the image, we use the magnification equation. The height of the object (the print size of the newspaper) is given as 2.06 mm. Using the magnification value of -3.98, we can find the height of the image, which is 8.32 mm.

Therefore, the image appears much larger than the object, and is located on the same side of the lens as the object. The image is virtual and upright, which means that it appears to be behind the lens and is not a real image that can be projected onto a screen.

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The two statements that are correct would be as follows;

The probability of selecting a student is 85% and

The probability of selecting a female student is 45%. That is option B and C respectively.

To determine the correct area is to use the formula for probability which will be stated below as follows;

Probability = possible outcome/sample space.

The total number of female students = 18

The total number of male students = 16

The total number of teachers = 6

The total number of students = 18+16+6 = 40

For students;

possible outcome = 18+16 = 34

probability = 34/40×100/1

= 85%

For female;

possible outcome = 18/40×100/1

= 45%

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Answer:

Step-by-step explanation:

The gradient of the line 3y-12x+7=0 is; 4.

According to the question;

We are responsible to determine the gradient of the line 3y-12x+7=0.

To do this; we must rewrite the equation 3y-12x+7=0 in the slope-intercept form as follows;

3y-12x+7=0

3y = 12x - 7

y = 4x -7/4

By comparison with; y = mx + c;

where, gradient/slope is m;

The gradient/slope of the line 3y-12x+7=0 is; 4.

Answer:you paid less for the bottle this week and it was $0.44 cheaper than last week

Step-by-step explanation:

hope this helps !

Answer:

You paid 0.89 cents less (also, is that schoology? just curious because thats what i use :))

Step-by-step explanation:

1 last week= $1.69

1 this week= 4÷$5 = 0.8 cents

You paid less for the bottle this week.

So you paid 0.89 cents less

21 feet is the perimeter of the kitchen .

In arithmetic, what is a perimeter?

The perimeter is the space surrounding a shape's edge. Discover how to calculate the perimeter of various forms by multiplying their side lengths. The whole distance that the sides or limits of a rectangle cover is known as its perimeter.

                          The perimeter of a rectangle will be equal to the sum of its four sides because rectangles have four sides.

on a blueprint, a rectangular kitchen has a length = 4 inches

                                                  a width = 3 inches

   So it's width is equal to = 6/4 * 3

                                     = 4.5 feet

   the perimeter of this kitchen is = 2(6 + 4.5 )

                                            = 2 * 10.5 = 21 feet

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Answer:

3n - 4

Step-by-step explanation:

Step-by-step explanation:

final answer is 4 91 1 6 this is square root of 10

Answer:

I believe your answer will be A.)

Step-by-step explanation:

Hope this helps :)

do you still have time?

.........

Answer:

Step-by-step explanation:

The contribution margin per unit is $ 1.50

The contribution margin is the percentage of a product's sales revenue that isn't consumed by variable costs and goes toward paying the firm's fixed expenses.

One of the main components of break-even analysis is the idea of contribution margin.

Labor-intensive businesses with few fixed expenses tend to have low contribution margins, whereas capital-intensive, industrial businesses have more fixed costs and, thus, higher contribution margins.

According to the question,

Total expenses per unit = $(5.50+3.00+1.50+4.00+2.50+2.00+1.00+0.50)

                                        = $ 20

Selling Price per unit = $ 21.50

Thus, contribution margin per unit = $ (21.50 - 20)

                                                         = $ 1.50

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Answer: 570.70 ft

Step-by-step explanation:

The perimeter is the distance around the entire parking lot.

The measurement of 150.23 ft by 135.12 ft is half of the distance of the lot because it represents just two sides yet there are 4 sides.

The other two sides have the same measurement as this is a rectangle.

The perimeter of the parking lot is:

= (150.23 * 2) + (135.12 * 2)

= 570.70 ft

The average waiting time in the queue will decrease, and the average server utilization will increase as a result of implementing this change.

Solution:

We know that; Utilization factor = ρ = λ/μ where λ is the arrival rate, μ is the service rate.1. Calculation of Utilization factor Before Change:

Given, Customers arrive at an average rate of one every 30 seconds.Thus, λ = 1/30 per second = 0.0333 per second.

Current service time has averaged 25 seconds with a standard deviation of 20 seconds.

Thus, μ = 1/25 per second = 0.04 per second.So, ρ = λ/μ = 0.0333/0.04 = 0.833

After Change:

Given, Customers arrive at an average rate of one every 30 seconds.Thus, λ = 1/30 per second = 0.0333 per second. A suggested process change has been tested and shown to change service time to an average of 27 seconds with a standard deviation of 10 seconds.

Thus, μ = 1/27 per second = 0.0370 per second.So, ρ = λ/μ = 0.0333/0.0370 = 0.8998 2. Calculation of average waiting time in the queue (Wq)

Before Change:

Average waiting time in the queue, Wq= (ρ²+ρ)/2*(1-ρ) * (1/λ) * (1/μ- λ)Given, ρ = 0.833; λ = 0.0333; μ = 0.04

Therefore, Wq= (0.833²+0.833)/2*(1-0.833) * (1/0.0333) * (1/0.04- 0.0333)= 4.882

After Change:

Given, ρ = 0.8998; λ = 0.0333; μ = 0.0370

Therefore, Wq= (0.8998²+0.8998)/2*(1-0.8998) * (1/0.0333) * (1/0.0370- 0.0333)= 3.554

Thus, the average waiting time in the queue (Wq) will decrease.

3. Calculation of average server utilization before Change:

Given, ρ = 0.833

Thus, the average server utilization is 83.3%

After Change:

Given, ρ = 0.8998

Thus, the average server utilization is 89.98%

Therefore, the average server utilization will increase.

Hence, the average waiting time in the queue will decrease, and the average server utilization will increase as a result of implementing this change.

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Check the picture below.

since the triangle is equilateral, is also equiangular.

\(a\sqrt{3}=\sqrt{6}\implies a=\cfrac{\sqrt{6}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2\cdot 3}}{\sqrt{3}}\implies a=\cfrac{\sqrt{2}\sqrt{3}}{\sqrt{3}}\implies a=\sqrt{3} \\\\[-0.35em] ~\dotfill\\\\ 2a=x\implies {\Large \begin{array}{llll} 2\sqrt{3}=x \end{array}}\)