solve for x. given that:k || l respectively and m(

Answer:

Step-by-step explanation:

x - 12 ≤ 3 - 2x

3x ≤ 15

x ≤ 5

To graph this, just draw a VERTICAL line passing through x = 5, then shade the area to the LEFT

Answer:

C:the length of time used in working

B:9:10 p.m and 9:56 p.m

B:Subtraction

C:9:56 - 9:10

C:46 minutes

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer: -5.2

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

15.6 ÷ - 3 = - 5.2

If you divide 15.6 and negative 3 you get negative five point two.

We make distinct dot plots for every predictor variable.

x₂=6.3368+0.7604×x₄

x₂=6.67+0.04×x₆

x₂=7.718+0.04×x₁₂

Given that,

Refer to Appendix C.1's SENIC data collection. All additional variables in the data set, with the exception of medical school affiliation and area, are included in the list of potential predictor variables for length of stay (Y). It is anticipated that the best model will have logio Y as the response variable, first-order terms for the predictor variables, and no interaction terms. Take examples 57–113 into consideration as the model-building data set for the subsequent studies.

We have to make distinct dot plots for every predictor variable. Do these storylines have any significant elements.

We know that,

Average length of stay = x₂

Infection risk = x₄

X-ray ratio = x₆

Available Services = x₁₂

57–113 into consideration as the model-building data set for the subsequent studies.

By using, regression equation for x₂ as dependent variable and regression equation for x₄ as independent variable..

Then,

x₂=6.3368+0.7604×x₄

x₂=6.67+0.04×x₆

x₂=7.718+0.04×x₁₂

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a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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Answer: The value of test statistic = -10.67

Step-by-step explanation:

Test statistic for proportion:

\(z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\)

, where p= population proportion

n= sample size

\(\hat{p}\) = sample proportion

AS per given,

p=0.94, n= 1004, \(\hat{p}=0.86\)

\(z=\dfrac{0.86-0.94}{\sqrt{\dfrac{0.94(1-0.94)}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{\dfrac{0.0564}{1004}}}\\\\=\dfrac{-0.08}{\sqrt{0.0000561752988048}}\\\\=\dfrac{-0.08}{0.00749501826581}\\\\=-10.673756509\approx-10.67\)

i.e. the value of test statistic = -10.67

Answer:

C. As the radius of a circle increases, circumference of the circle increases.

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

Step-by-step explanation:

If each lap is 1/8 of a mile, then we have to do 3x8 to get our answer.

8x3=24

So hence, Rex has to go 24 times around his block to ride his bike for 3 miles.

Thanks!

Answer:

SA = 62 cm2

Step-by-step explanation:

The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

The total surface of the cuboid = 2(LB+BH+HL)

Consider that the length, width, and height of the cuboid are L, B, and H.

The cuboid is given in the question

Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.

The surface area of the cuboid = 2(LB+BH+HL)

Here L = 3 cm, B = 5 cm, and H = 2 cm

Substitute the values in the above formula, and we get

The surface area of the cuboid = 2(3 × 5 + 5 × 2  + 2 × 3)

The surface area of the cuboid = 2(15 + 10 + 6)

The surface area of the cuboid = 2(31)

The surface area of the cuboid = 62 cm²

Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

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The true statement based on the relationship depicted in the Venn diagram is that no rhombuses are trapezoids (option D).

To identify the true statement using the relationship represented in the Venn diagram, we need to analyze the overlapping regions and the properties of the shapes involved.

A trapezoid is a quadrilateral with at least one pair of parallel sides, while a rhombus is a quadrilateral with all sides of equal length. Let's evaluate the options:

A. All trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region between the trapezoids and rhombuses shows that there are trapezoids that are not rhombuses. Therefore, option A is incorrect.

B. All rhombuses are trapezoids: This statement is true based on the diagram. The entire region representing rhombuses is also included within the region representing trapezoids. Every rhombus can be considered a trapezoid because it has at least one pair of parallel sides. Thus, option B is correct.

C. No trapezoids are rhombuses: This statement is not true based on the diagram. The overlapping region indicates that there are trapezoids that are indeed rhombuses. Therefore, option C is incorrect.

D. No rhombuses are trapezoids: This statement is true based on the diagram. There is no overlap between the regions representing rhombuses and trapezoids, implying that no rhombus can be considered a trapezoid. Hence, option D is correct.

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The scientific notation of the mass of 105 cows is 4.305x10⁴

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Given that, the average mass of one cow is measured to be 410 kilograms.

Average mass of 105 cows = 105x410 = 43050 kilograms

43050 = 4.305x10⁴

Hence, The scientific notation of the mass of 105 cows is 4.305x10⁴

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Answer:

C is the correct statement. Since the sea lion started at 2 feet below sea level and went down another 8 feet, the sea lion is now at 10 feet below sea level.

The area of the rectangular figure with two semicircles on the opposite side is  36.56 sq cm.

The circumference of a circle is the distance around the circle which is 2πr.

The diameter of a circle is the largest chord that passes through the center of a circle it is 2r.

Given, A rectangle with two semicircles on two opposite sides.

The length of the rectangle is 6cm and the width of the rectangle is 4cm.

The two given semicircles have a diameter of 4cm seems obvious.

∴ The area of the total figure is an area of the rectangle added to the area of 2 semicircles which makes up to a circle with a radius 2 cm.

∴ (4×6) + π(2)² sq cm.

= 24 + 4π sq cm.

= 24 + 12.56 sq cm.

= 36.56 sq cm.

The area which is not taken up in the rectangle and two circle questions are

(area of the rectangle - 2 times the area of a circle).

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Answer:

-257

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The answer is the absolute value of 31 + (-5)

So it is 36

The coordinates of the vertices after a dilation of the scale factor would be:

To perform a dilation with a scale factor of 1/2 centered at the origin, we multiply the coordinates of each vertex by the scale factor.

Given the vertices:

W = (5, 10)

V = (0, -10)

U = (5, -10)

After applying the dilation with a scale factor of 1/2, the new coordinates of the vertices would be:

W' = (5 * 1/2, 10 x 1/2) = (2.5, 5)

V' = (0 * 1/2, -10 x 1/2) = (0, -5)

U' = (5 * 1/2, -10 x 1/2) = (2.5, -5)

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Answer:

Any options?

Step-by-step explanation:

Based on the provided data, the population standard deviation is 6.0 and the population variance is 36.0.

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, follow these steps:

1. Press the "STAT" button, and then select "Edit" to enter the data.

2. Enter the ages of the students into a list. For example, you could enter the ages into list L1.

3. Once you have entered the data, press the "STAT" button again, and then select "CALC."

4. Choose "1-Var Stats" and enter the list name that contains the data (L1 in this case). Press "ENTER" to see the result.

5. The calculator will display a list of statistics, including the population standard deviation (σx) and the population variance (σx²). Round these values to one decimal place.

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The preceding polynomial equation has three solutions: z = 0, z = 3/4, and z = -1/5.

First, we can factor out a common factor of z:

z(20z² - 11z - 3) = 0

Now we need to factor the quadratic expression in the parentheses.

We can use the quadratic formula or factor by grouping to do this. Factoring by grouping yields:

z(20z² - 11z - 3) = 0

z(4z - 3)(5z + 1) = 0

Setting each of the factored terms equal to zero, we have:

z = 0, 3/4, -1/5

Therefore, the solutions to the given polynomial equation are z = 0, z = 3/4, and z = -1/5.

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To determine what is sufficient information to conclude that Y is the bisector of angle E, we will check each one:

If we say both angles, 1 and 2, are equal to 90°, it means that both triangles, DYE, and FYE are right triangles. And because the sides DY and FY are marked as equal size, we are already able to say both triangles have equal sides, because EY is common among them, and by the Pythagorean theorem, the value of the third side is unique. From this, we conclude that the angle at the point E for both triangles will be the same, it is:

And this means that the line EY is the bisector of

Work Shown:

xy + 2x + 3x^2 = 4

d/dx[ xy + 2x + 3x^2 ] = d/dx[4]

d/dx[ xy ] + d/dx[ 2x ] + d/dx[ 3x^2 ] = d/dx[4]

y + xy' + 2 + 6x = 0

xy' = -6x-y-2

y' = (-6x-y-2)/x

y' = (-6x-y-2)/x

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.