pls help with 1, 2, 3, 4 and 5

Answer:

A. Two points

Step-by-step explanation:

Answer:

A. Two points

Step-by-step explanation:

The car that drove off had a year of manufacture of 2013. However, this answer does not make sense, as all of the given cars were manufactured before 2010 and was solved by using mean.

In mathematics, the mean is a measure of central tendency of a set of numbers. It is commonly referred to as the average and is calculated by adding up all the numbers in a set and dividing by the total number of numbers in the set.

In the given question,

Let's start by finding the mean of the five cars:

Mean = (1971 + 1986 + 1993 + 2003 + 2010) / 5 = 1992.6

Now, let's assume that one of the cars drove off and we need to find out which one. Let's call the year of manufacture of the car that drove off "x".

If the mean of the remaining four cars is 1990, we can use the formula for the mean of a set of numbers to set up an equation:

(1971 + 1986 + 1993 + 2003 + 2010 - x) / 4 = 1990

Simplifying this equation, we get: (9973 - x) / 4 = 1990

Multiplying both sides by 4, we get: 9973 - x = 7960

Subtracting 9973 from both sides, we get: -x = -2013

Dividing both sides by -1, we get: x = 2013

Therefore, the car that drove off had a year of manufacture of 2013. However, this answer does not make sense, as all of the given cars were manufactured before 2010. Therefore, we can conclude that there was a mistake in the problem, or that the problem was poorly worded. Without additional information, we cannot determine which car drove off.

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The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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If initial sample of 458 grams of a radioactive substance decays according to the function \(A(t)=458e^{-0.038t}\) then the half-life of the substance is 0.

Half-life is the time required for a quantity (of substance) to reduce to half of its initial value.

Given,

An initial sample of 458 grams of a radioactive substance decays according to the function

\(A(t)=458e^{-0.038t}\)

We need to find the half life

\(458=458e^{-0.038t}\)

Divide both sides by 458

\(1=e^{-0.038t}\)

Take log on both sides

\(log1=-0.038t\)

0=-0.038t

t=0

Hence, the half-life of the substance is 0.

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Answer:

Filling the values we have;

Explanation:

Given the data on the given table, we want to fill them in a stem leaves plot.

The tens values would be in the stems while the unit values will be written in their corresponding leaves.

Filling the values we have;

Carter can line the books up on his bookshelf in 24 different ways.

Given that f(x, y) is a linear function, and the constraints themselves are also linear, it follows that the vertices of the feasible region are the sites of extrema of f(x, y). So just find where each boundary line intersects with another line, and check the value of f(x, y) at each intersection.

We have

• x = 0 and y = 0   ===>   (0, 0)

• x = 0 and 2x + 7y = 70   ===>   y = 10   ===>   (0, 10)

• y = 0 and 8x + 4y = 136   ===>   x = 17   ===>   (17, 0)

• 2x + 7y = 70 and 8x + 4y = 136   ===>   (14, 6)

At these points, we respectively get

• f (0, 0) = 0

• f (0, 10) = 60

• f (17, 0) = 34

• f (14, 6) = 64

Then max f(x) = 64 at (14, 6) and min f(x) = 0 at (0, 0).

Answer:

------------------------

Find the slope of AB:

Use point-slope form and point A(2, 4) to determine the line:

Multiply both sides by 9 to clear fraction:

Open parenthesis and convert the equation into ax + by + c = 0:

The Volume of the box is 3.75in³

The volume of the box is dependent on the volume of the cube in it.

To obtain the volume of a cube, we use the relation, V = s³

s = side of the cube

Volume = 0.5³ = 0.125 in³

Number of cubes in box = 30

Volume of each cube × Number of cubes

0.125 × 30 = 3.75 in³

Hence, the volume of the box is 3.75in³

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Answer:

1) 5.64

2) 17.321

1) \(\frac{21}{28}\)

2) \(\frac{16}{34}\)

3) \(\frac{28}{35}\)

4) \(\frac{32}{24}\)

Step-by-step explanation:

SOH - CAH - TOA

Sin = \(\frac{O}{H}\)   Cos = \(\frac{A}{H}\)  Tan = \(\frac{O}{A}\)      

O = opposite, A = adjacent, H = hypotenuse

First two,  use Pythagorean Theorem

If you want to calculate the angle on the last 4, use inverse of function and put in the ratio.

For example :

1) Tan Z = \(\frac{21}{28}\)

   \(Tan^{-1}\) ( \(\frac{21}{28}\))

Z = 36.9°

Answer:

x = -1/2

Step-by-step explanation:

3/4 x = -2/3

(4/3) × 3/4 x = -2/3 × 3/4

x = -2/4

x = -1/2

Multiplying both sides by the reciprocal of 3/4, we get:

x = (-2/3) / (3/4)

x = (-2/3) * (4/3)

x = -8/9

Therefore, the solution is x = -8/9. Answer: x equals negative fraction 8 over 9 end fraction.Answer:

The answer above is wrong here is the correct answer (:

Slavery and oppression of other people impact others as it brings about discrimination and fear.

In the olden days, slavery was so lucrative that the Mississippi River valley produced more millionaires per capita than any other region of the country. With cash crops like tobacco, cotton, and sugar cane, the southern states of America developed into the country's economic engine.

In Africa, the slave trade had a terrible impact. A culture of lawlessness and violence was encouraged by the financial incentives provided to warlords and tribes to participate in the slave trade. Economic and agricultural development in a large portion of western Africa was virtually impossible due to depopulation and a persistent fear of enslavement.

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Answer:

3m-83

Step-by-step explanation:

Okay, so first, you'd like to triple m. This would mean that it would be m+m+m, which is also 3m. Next you have to subtract 83. This would make it 3m-83.

Hope this helped!! :D

If you have any questions, let me know!

The answer of the given question based on the graph is  the coordinates of point B are (-8, 4).

A quadrant is one of four regions into which coordinate plane is divided by x-axis and y-axis. The x-axis is horizontal axis and the y-axis is vertical axis. The quadrants are labeled using Roman numerals, starting in upper right quadrant and moving counterclockwise.

Since point B is 11 units away from point A, we know that the distance between them is:

d = √((x2 - x1)² + (y2 - y1)²) = 11

where (x1, y1) = (-3, -5) are the coordinates of point A, and (x2, y2) are the coordinates of point B.

We also know that point B is located in quadrant 2, which means that its x-coordinate is negative and its y-coordinate is positive.

To find the coordinates of point B, we can use the distance formula and the fact that point B is in quadrant 2:

d = √((x2 - x1)² + (y2 - y1)²) => 11 = √((x2 - (-3))² + (y2 - (-5))²)

Since point B is in quadrant 2, its x-coordinate is negative and its y-coordinate is positive:

x2 < 0, y2 > 0

We can choose any values for x2 and y2 that satisfy these conditions and the distance formula equation. Let's choose x2 = -8 and y2 = 4:

11 = √((-8 - (-3))² + (4 - (-5))²)

11 = √(25 + 81)

11 = √106

Therefore, coordinates of point B is (-8, 4).

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Answer:

{x,y} = {10,2}

Step-by-step explanation:

Solve equation [2] for the variable  y

[2]    y = -2x + 22

Plug this in for variable  y  in equation [1]

[1]    x - 5•(-2x+22) = 0

  [1]    11x = 110

Solve equation [1] for the variable  x

  [1]    11x = 110

  [1]    x = 10

By now we know this much :

   x = 10

   y = -2x+22

Use the  x  value to solve for  y

   y = -2(10)+22 = 2

The solution to the system is:

x = 22/3

y = 22/15

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We are given the following system of equations:

x = 5y ---(1)

y = 22 - 2x ---(2)

Substituting equation (1) into equation (2) for y, we get:

5y = 22 - 2x (substituting x = 5y from equation 1)

5y + 2x = 22

We now have two equations with two unknowns:

x = 5y ---(1)

5y + 2x = 22 ---(3)

Substituting equation (1) into equation (3) for x, we get:

5y + 2(5y) = 22 (substituting x = 5y from equation 1)

5y + 10y = 22

15y = 22

y = 22/15

Now that we have y, we can substitute it into equation (1) to find x:

x = 5y

x = 5(22/15)

x = 22/3

Therefore,

The solution to the system is:

x = 22/3

y = 22/15

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Answer:

a

Step-by-step explanation:

The solution is any ordered pair that satisfies each of the inequalities. To graph a system of linear inequalities 1.) graph each inequality individually, decide which half-plane to shade 2.) after all inequalities are graphed, the solution is the intersection of all the individual solutions.

Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)

Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:

The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).

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Answer:

please see answers below

Step-by-step explanation:

In a right-angled triangle, a ² + b ² = c ².

angles in a triangle add up to 180°.

Sine rule:   a/SIN A  =  b/SIN B  =   c/SIN C

angle C = 90° (little square means 90).

if angle A is 30, then angle B must be 180 - 90 - 30 = 60°.

using the Sine rule:

a/Sin A  =  c/Sin C

multiply both sides by Sin A:

a = (c Sin A) / Sin C

= (12 Sin 30) / Sin 90

= 6.

so a = 6.

Using Pythagoras (In a right-angled triangle, a ² + b ² = c ²),

c² = a² + b²

b² = c² - a²

= 12² - 6²

= 144 - 36

= 108

so b² = 108

b = √108

angle B is correct

vertex: (-2,-4)

axis of symmetry: x = -2

hope this helps :)

Answer:

2y-4x+6x

=2y+2x

Step-by-step explanation:

Answer:

2x+2y

Step-by-step explanation:

Let's simplify step-by-step.

3y−4x+6x−y

=3y+−4x+6x+−y

Combine Like Terms:

=3y+−4x+6x+−y

=(−4x+6x)+(3y+−y)

=2x+2y

━━━━━━━━━━━━━━━━━━━━━━

Formula for finding the volume of cone - ⅓πr2h

Formula for finding the volume of cylinder - πr2h

Formula for finding the volume of Triangular Prism - Bh

Formula for finding the volume of Rectangular Prism - lwh

Formula for finding the volume of Pyramid - ⅓Bh

━━━━━━━━━━━━━━━━━━━━━━

Answer:

Pyramid: 1/3 B x H Triangular: B x H Cone: 1/3 pi r^2 x H Rectangular Prism: L x W x H Cylinder: pi r^2 x H

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

3/5 is 60%

Answer:

60%

Step-by-step explanation:

5/5 minus 2/5 is 3/5

5 divided by 3 is .6

in order to find out the percent move the decimal over to the right

Answer:

Step-by-step explanation:

50:100 and 1:2

15:20 and 3:4

15:16 and 5:2

10:5 and 2:1

Hope this helps!

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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sin 3 x = sin ( 3 x + 2 π ) = sin [ 3 ( x + 2 π/ 3 ) ] = sin 3 x

This means "after the arc rotating three time of ( x + ( 2  π /3 ) ) , sin 3x comes back to its initial value"

So, the period of sin 3x is 2 π /3 .

Answer:

top left graph

Step-by-step explanation:

The function is not defined for negative x.

Also, the range should not include positive numbers.

So, the answer is the top left graph.

Answer:

8-6i

Step-by-step explanation:

complex number in standard form will be in the form of a+bi

(-2 − 2i) + (10 − 4i) , open parenthesis

-2- 2i +10 -4i, group like terms

-2+10 -2i -4i, combine like terms

8 - 6i

Answer:

5/6 x 4 = 20/6 as simplified as 10/3 in fraction form. 5/6 x 4 = 3.3333 in decimal form.

Step-by-step explanation:

Answer:

5/6 × 4 = ?

5/6 × 4

= 5/6 × 4/1

= 5×4/6×1

= 20/6

= 10/3

= 3.33