7Which statement about this figure is true!It has rotational symmetry with an angle of rotation of 120It has no reflectional symmetry.It has reflectional symmetry with one line of symmetry.It has rotational symmetry with an angle of rotation of 60

Answer:

1: x-intercept(s):  (\(\frac{5}{2}\),0)

y-intercept(s):  (0,10)

2: x-intercept(s):  (13,0)

y-intercept(s):  (0,−\(\frac{13}{5}\))

Step-by-step explanation:

Answer:

2009

Step-by-step explanation:

2002+7

=2009

Answer:

58.3%

Step-by-step explanation:

Okay, so we know that there are 12 months in a year, and so we need to find what percent 7 is out of 12, so we divide:

7 ÷ 12 = 0.583

0.583 x 100 = 58.3

So, Andrew was on vacation for 58.3% of the year

Answer: Down below

Step-by-step explanation:

Let x be the cost for the DVD's

Let y be the cost of the CD's

Equations :

2x + 2y = 18   OR   y = (18 - 2x)/2

3x + 2y = 22

Substitution :

3x + 2[(18 - 2)/2] = 22

3x + 2(16/2) = 22

3x + 2(8) = 22

3x + 16 = 22

3x = 22 - 16

3x = 6

x = 6/3

x = 2

that's just the cost of the DVD though. now to find the CD's cost

Cost of CD's :

y = (18 - 2x)/2

y = [18 - 2(2)]/2

y = (18 - 4)/2

y = 14/2

y = 7

therefore 1 CD costs 7 pounds and 1 DVD costs 2 pounds

Answer:

Addition property

Step-by-step explanation:

There is no subtraction sign, division sign, or multiplication sign so it would have to be an additional property.

Hope this helps and have a great day! =D

If we let a = 0, b = 1, and c = 1, then the polynomial

\(x(x-1)(x^2 +\)

Since the polynomial has integer coefficients, if one of the roots is a complex number, then its conjugate must also be a root. Therefore, options A and E cannot be roots of the polynomial, since they have non-real conjugates.

We know that the polynomial has degree 4, so it has four roots in total (counting multiplicities). We also know that two of the roots are integers, so let's call them a and b. Then the polynomial can be written as:

\((x - a)(x - b)(cx^2 + dx + e)\)

where c, d, and e are integers (because they are the coefficients of the quadratic factor). We know that the leading coefficient is 1, so c must be nonzero.

Since the polynomial has two real roots, its discriminant must be nonnegative:

\(d^2 - 4ce > = 0\)

We can use this inequality to rule out some of the answer choices. For example, option C cannot be a root, because if we substitute x = 1/2 + i into the polynomial, we get:

(\((1/2 + i) - a)((1/2 + i) - b)(c((1/2 + i)^2) + d(1/2 + i) + e)\)

The real part of this expression is:

(1/4 - a + 1/4 - b)(c(1/4 - 1) + d/2 + e) = -(a + b - 1/2)(3c/4 + d/2 + e)

If we assume that a and b are integers, then this expression is an integer multiple of 3c/4 + d/2 + e. However, we can choose values of c, d, and e such that 3c/4 + d/2 + e is not an integer (for example, if c = 4, d = 1, and e = 0, then 3c/4 + d/2 + e = 4.5). Therefore, the real part of the expression cannot be zero, and option C cannot be a root.

We can also rule out option D using the same argument. If we substitute x = 1 + i/2, then the real part of the expression is:

((1 + i/2) - a)((1 + i/2) - b)(c((1 + i/2)^2) + d(1 + i/2) + e)

(1 - a + i/2)(1 - b + i/2)(c(5/4 + i) + d(3/2 + i/2) + e)

The real part of this expression is an integer multiple of c(5/4) + d(3/2) + e, which can be non-integer for some choices of c, d, and e.

Therefore, the only possible answer choices are A and B. To determine whether they are roots of the polynomial, we can use the fact that the sum and product of the roots are given by:

a + b + (complex roots) = -d/c

ab(complex roots) = e/c

We know that a and b are integers, so if we can find a polynomial with integer coefficients that has roots a, b, and either A or B, then that root is also a root of the original polynomial.

For option A, we have:

1 + i√11/2 = 2(cos(75°) + i sin(75°))

Therefore, if we let a = 0, b = 1, and c = 1, then the polynomial

\(x(x-1)(x^2 +\)

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Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

let's do a), c) and last b).

a)

\((\stackrel{x_1}{0}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{13}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{13}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{0}}} \implies \cfrac{ 8 }{ 7 }\)

c)

well, we know it passes through (7 , 13) and we know its slope, so let's use that

\((\stackrel{x_1}{7}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{8}{7} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{ \cfrac{8}{7}}(x-\stackrel{x_1}{7}) \\\\\\ y-13=\cfrac{8}{7}x-8\implies y=\cfrac{8}{7}x+5\)

b)

another point?  well, hmmm let's pick a random "x" value hmmm say 7/8, so

\(y=\cfrac{8}{7}x+5\qquad \qquad \boxed{x=\cfrac{7}{8}}\hspace{3em}y=\cfrac{8}{7}\stackrel{x}{\left( \cfrac{7}{8} \right)}+5\implies y=1+5\implies \boxed{y=6} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{another~point}{{\Large \begin{array}{llll} \left(\frac{7}{8}~~,~~6 \right) \end{array}}}~\hfill\)

Part A: The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: The point (8, 2) is not included in the solution area.

Part C: The point (3, 1) represents one feasible solution that meets the constraints of the problem.

Part A: The graph of the system of inequalities consists of two lines and a shaded region. The line x + 3y = 8 is a solid line because it includes the equality symbol, indicating that points on the line are included in the solution set. The line x + y = 2 is also a solid line. The shaded region represents the feasible region where both inequalities are satisfied simultaneously. It is below the line x + 3y = 8 and above the line x + y = 2.

Part B: To determine if the point (8, 2) is included in the solution area, we substitute the x and y values into the inequalities:

8 + 3(2) ≤ 8

8 + 6 ≤ 8

14 ≤ 8 (False)

Since the inequality is not satisfied, the point (8, 2) is not included in the solution area.

Part C: Let's choose a point in the solution set, such as (3, 1). This point satisfies both inequalities: x + 3y ≤ 8 and x + y ≥ 2. In the context of the real-world scenario, this means that Michelle can buy 3 servings of dry food (x = 3) and 1 serving of wet food (y = 1) with her $8 budget. This combination of dog food allows her to feed at least two dogs at the animal shelter while staying within her budget. The point (3, 1) represents one feasible solution that meets the constraints of the problem.

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Selective Perception and Action Path can help in making a decision on whether to continue or modify the policy by considering biases in perception and developing a clear plan of action based on gathered information and stakeholder input.

In the given scenario, several of the mentioned best practices can be useful for making a decision on how to proceed with the office policy. Let's explore some of them:

1. Deviation from Standard: This best practice suggests considering alternative approaches to the existing policy. You can analyze whether the current policy of bringing people back into the office is still effective and explore other possibilities, such as a hybrid model or flexible work arrangements.

This allows you to deviate from the standard approach and adapt to the current situation.

2. Six Honest Servingmen: This principle encourages asking critical questions to gather relevant information. You can apply this by gathering feedback from employees to understand their perspective on productivity, job satisfaction, and the impact of working in the office versus remotely.

By considering the opinions and experiences of your team members, you can make a more informed decision.

3. So What? What if?: This approach involves considering the potential consequences and exploring different scenarios. You can ask questions such as "What if we continue with the current policy?" and "What if we modify the policy to accommodate remote work?"

By evaluating the potential outcomes and weighing the pros and cons of each option, you can make a decision based on informed reasoning.

4. Meaningful Experience: This principle emphasizes the importance of drawing insights from past experiences. In this case, you can review the productivity data from the two years of remote work and compare it to the three months since the return to the office.

If there is a noticeable decrease in productivity, you can take this into account when deciding whether to continue with the current policy or make adjustments.

5. Action Path: This best practice involves developing a clear plan of action. Once you have considered the various factors and options, you can create an action plan that outlines the steps to be taken.

This could involve conducting surveys, seeking input from team members, analyzing data, and consulting with relevant stakeholders. Having a well-defined action path can help you make an informed decision and communicate it effectively to your team.

By applying these best practices, you can gather information, analyze the situation, consider different perspectives, and develop a well-thought-out plan for how to proceed with the office policy.

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solving sin ( 4x ) = √3 / 2 , the value of x is 15°

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

For angle of 30° and 60°

sin 30° = 1/2

cos 60° = √3/2

tan60° = √3

for angle 60 °

sin60° = √3/2

cos 60° = 1/2

tan60° = 1/√3

since sin(4x) = √3/2

and sin 60° = √3/2

sin60° = sin(4x)

this means 60° = 4x

divide both sides 4

x = 60/4

x = 15°

therefore the value of x is 15°

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Answer:

The perimeter of the triangle is 105 cm.

Step-by-step explanation:

The ratio of sides of a triangle is \(5:7:9\).

The length of middle side is 35 cm.

Let first side of the tringle is \(x\), length of third side is \(y\). middle side is of 35 cm.

So, the ratio of length of sides can be written as,

\(x:35:y=5:7:9\)

Compare the ratio to get the value of \(x\) and \(y\).

\(x:35:y=25:35:45\\x=25\\y=45\)

Now, the sides of the triangle are 25 cm, 35 cm and 45 cm.

Thus, the perimeter of the triangle will be the sum of all sides and can be calculated as,

\(p=25+35+45\\p=105\)

Therefore, the perimeter of the triangle is 105 cm.

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Answer:

b. 9

Step-by-step explanation:

k(x) = |x - 9| x                    k(-7)

k(-7) = |-7 - 9| -7

k(-7) = |-16| -7

k(-7) = 16 - 7

k(-7) = 9

So, the answer is b.9

The value of k(-7) for the function k(x) = |x-9| * x is -112.

To find k(-7) using the given function k(x) = |x-9| * x, we substitute -7 for x:

k(-7) = |-7 - 9| * (-7)

|-7 - 9| simplifies to |-16|, which is equal to 16. Multiplying this by -7, we get:

k(-7) = 16 * (-7) = -112

Therefore, the correct answer is:

a. -23

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Answer:

10/21

Step-by-step explanation:

The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.

The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.

The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.

Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.

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Answer:

cam has b-7

Step-by-step explanation:

Answer:

the answer is B 7

Step-by-step explanation:

False. We do not always evaluate just the specific result obtained in an experiment.

In scientific experiments, we do not just evaluate the specific result obtained in the experiment. Instead, we evaluate the entire experimental design, including the methods used, the sample size, and the statistical analysis.

For example, suppose a researcher conducts an experiment to test a new drug's effectiveness in treating a particular disease. If the result of the experiment shows that the drug is effective, the researcher cannot simply conclude that the drug works based on this one result. Instead, the researcher must evaluate the experimental design to ensure that the result is reliable and valid.

This evaluation includes examining the study's methods to determine if they are appropriate and if the sample size is large enough to produce meaningful results. It also involves statistical analysis to assess the strength of the relationship between the treatment and the outcome and to determine if the result is statistically significant.

Therefore, evaluating just the specific result obtained in an experiment is not sufficient. We must also consider the experimental design, methods used, sample size, and statistical analysis to draw valid and reliable conclusions from the experiment.

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Answer:

110 hope u get a good grade:) add me on ig welia.martinez

.

Step-by-step explanation:

Answer:

It equals 77 degrees

To complete the square for the equation x² + 7x = 4, we need to add (7/2)² or (7/2)² + 4 to both sides. (option d)

To start, let's review what it means to complete the square. Suppose we have an equation of the form x² + bx = c, where b and c are constants. Our goal is to find a value d such that the equation can be rewritten in the form (x + e)² = f, where e and f are also constants. To do this, we add and subtract the quantity (b/2)² on the left-hand side of the equation:

x² + bx + (b/2)² - (b/2)² = c

We can simplify the left-hand side by factoring the first three terms as a perfect square trinomial:

(x + b/2)² = c + (b/2)²

x² + 7x - 4 = 0

Next, we add and subtract the quantity (7/2)² on the left-hand side:

x² + 7x + (7/2)² - (7/2)² - 4 = 0

Again, we can simplify the left-hand side by factoring the first three terms as a perfect square trinomial:

(x + 7/2)² - (7/2)² - 4 = 0

We can simplify further by adding (7/2)² and 4 to both sides:

(x + 7/2)² = 33/4

Now we have completed the square, and the equation is in the form (x + e)² = f, where e = 7/2 and f = 33/4. To solve for x, we take the square root of both sides:

x + 7/2 = ±√(33/4)

Finally, we can solve for x by subtracting 7/2 from both sides:

x = -7/2 ± √(33)/2

Option (d), (7/2)², is the correct answer.

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Answer:

-11

Step-by-step explanation:

Answer:

the answer is -11 sir

Step-by-step explanation:    Let's solve your equation step-by-step.

5+x−2=−8

Step 1: Simplify both sides of the equation.

5+x−2=−8

5+x+−2=−8

(x)+(5+−2)=−8(Combine Like Terms)

x+3=−8

x+3=−8

Step 2: Subtract 3 from both sides.

x+3−3=−8−3

x=−11

The average cost per item over the interval (1,000,1,010] is (C(1010) - C(1000)) / (1010 - 1000) = (10,000 + 5(1010) - 10,000 - 5(1000)) / 10 = $5.50.

The average cost per item over the interval [999.5, 1000] is (C(1000) - C(999.5)) / (1000 - 999.5) = (10,000 + 5(1000) - 10,000 - 5(999.5)) / 0.5 = $5.00.

The given function C(x) represents the cost in dollars to manufacture x items. To find the average cost per item over a given interval, we use the formula: (C(b) - C(a)) / (b - a), where a and b are the endpoints of the interval.

For the interval (1,000,1,010], we substitute a = 1000 and b = 1010 into the formula to obtain (C(1010) - C(1000)) / (1010 - 1000). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1010) - $10,000 - $5(1000)) / 10 = $5.50 per item.

For the interval [999.5, 1000], we substitute a = 999.5 and b = 1000 into the formula to obtain (C(1000) - C(999.5)) / (1000 - 999.5). Simplifying the expression using the given function C(x) yields ($10,000 + $5(1000) - $10,000 - $5(999.5)) / 0.5 = $5.00 per item.

To find C'(1000), we differentiate the function C(x) with respect to x, which gives C'(x) = 5. The value of C'(1000) is therefore 5, rounded to 1 decimal place.

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Answer:

A

Step-by-step explanation:

You have to simplify the brackets in turn.

3 times x^3- 7x+1 = 3x^3- 21x+ 3

then do 3 times x + 4= 3x + 12

you then add them all together, if they have a power add them, if they just have an x add them, and if they are just a number add them.

So it goes to 3x^3- 24x - 9,

this is because 3x^3 cant be added/ subtracted by anything, -24x is made from -21x- 3x, and -9 is made from 3 - + 12, so this means 3 - 12 = -9.

I hope this helps, have a lovely day.

Answer:

43. \(= \frac{.0045}{100}\)

44. \(4\frac{9}{10}\)

45. 8

Step-by-step explanation:

43. 0.45% = .0045

      \(= \frac{.0045}{100}\)

44. \(\frac{1}{2}\) • \(9\frac{4}{5}\)

    = \(4\frac{9}{10}\)

45. VIII = 8

We have proven that ∠1 is a complement of ∠3 using the substitution property

From the question, we are to prove that ∠1 is a complement of ∠3

From the given information, we have that

∠1 is a complement of ∠2

That is,

∠1 + ∠2 = 90°

NOTE: Complementary angles sum up to 90°

Also, we have that

∠2 ≅ ∠3

From the Substitution property of equality which states "If a variable x is equal to another variable y, then x can be substituted in place of y in any equation/expression and y can be substituted in place of x in any equation/expression."

Since ∠2 ≅ ∠3

We can substitute ∠3 for ∠2 in the first equation

That is,

∠1 + ∠2 = 90° becomes

∠1 + ∠3 = 90°

Since ∠1 and ∠3 sum up to 90°, then ∠1 is a complement of ∠3.

Thus,

∠1 is a complement of ∠3

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By using the concept of probability, it can be determined that there are approximately 400 red marbles in the bag.

To determine the number of red marbles in the bag without counting them, we can utilize the concept of probability. The probability of drawing a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles in the bag. In this case, there are 400 red marbles and 1100 total marbles, resulting in a probability of 400/1100.

Since the probability is a ratio, we can use it to estimate the number of red marbles in the bag. Multiplying the probability by the total number of marbles in the bag gives us an estimate of the number of red marbles. Therefore, by multiplying (400/1100) by 1100, we find that there are approximately 400 red marbles in the bag.

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The answer is cone -7 7=9÷7