Find the slope of the line through C(2, 5) and D(4,7).

Answer:

28 mph

Step-by-step explanation:

1h = 60m

45m --- 21 miles

60m --- [tex]\frac{60}{45}[/tex] × 21 miles = 28 miles

Thus, his average speed is 28 mph.

Answer:

1 yard is $3.75

Step-by-step explanation:

4.4 to get 1 divide by 4.4

so divide 16.50 by 4.4 to get $3.75

Answer:

1 yard is $3.75

Step-by-step explanation:

$16.50 ÷ 4.4 yards = $3.75

I hope this helps you and your assignment!

Answer:

P" = (-2, -1)

Step-by-step explanation:

When a point P(x, y) is rotated 180° clockwise or anticlockwise the coordinates of the new point P'(x', y') become (-x, -y). The rotated point has coordinates which are negative of the original coordinates

When a point is translated (a, b) then new coordinates become (x + a,, y + b)

Here point P is (1, -1)

Rotation by 180° ⇒ rotated point P'(-1, 1)

If we translate P' by (-1, -2) translated point

P" has coordinates x" = -1 -1 = -2 and y" = 1 -2 = -1

So coordinates of P" are (-2, -1)

By using logarithm properties and arithmetic operations, the approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.

In this problem we find two approximate value of two natural logarithms and we are asked to find the value of a logarithm of base 10 in terms of the two natural logarithms, whose approximate values are given. This can be done by using logarithm properties, especially the base change property:

㏒₄ 100, ㏑ 4, ㏑ 100                                      Given                                              

㏑ 100 / ㏑ 4                                                   Base change property of logarithms

4.6 / 1.4                                                            Substitution of each logarithm (Step 1)

23 / 7                                                               Amplification of fraction / Definition of multiplication

3.286                                                               Definition of division / Result

The approximate value of the logarithm of base 4 of 100 is approximately equal to 3.3.

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Answer: slope is 5/4 and y intercept is -7

Y=mx(slope)+b(y-intercept)

The augmented matrix for the system of equations is given as follows:

[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]

A system of equations is when multiple variables are related, and equations are constructed to find the values of each variable. There are multiple ways to solve a system, and one of the most usual is in a matricial way, as the augmented matrix of the system is constructed.

In standard notation, the system is given by:

The augmented matrix for a system with variables x, y and z is constructed as follows:

Hence for this system, the matrix is given by:

[tex]\left[\begin{array}{cccc}9&4&-2&0\\4&0&6&-2\\0&-3&2&2\end{array}\right][/tex]

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Answer:

The correct answer is A.) as the diameter of a bubble increases, the volume of the bubble increases

Step-by-step explanation:

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

In this exercise, you're required to describe the score which this ski jumper must earn on the second jump to beat his or her competitor. Therefore, let x represent the score of his or her second acrobatic ski jump.

Based on the competitor's score of 119.8 in the second jump, this ski jumper must earn the following score represented by this inequality:

x > 119.8

From the table (see attachment), we can logically deduce that the competitor's score in the first ski jump is equal to 117.1. This ultimately implies that, the ski jumper's score can be modeled by this inequality:

x > 117.1

In this context, we can reasonably infer and logically deduce that both the coach and the teammate are correct because a score of "118.4" and "117.5" are greater than a score of "117.1."

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Complete Question:

MAKING AN ARGUMENT

In an aerial ski competition, you perform two acrobatic ski jumps. The scores on the two jumps are then added together.

a. Describe the score that you must earn on your second jump to beat your competitor.

b. Your coach says that you will beat your competitor if you score 118.4 points. A teammate says that you only need 117.5 points. Who is correct? Explain.

Answer:

43%

Step-by-step explanation:

There are 39 girls. 21 of them like biology. 11 out of 34 who like chemistry are girls.

No. of girls who prefer biology = 21

There are (100-39) boys. 16 of them like physics. (34-11) of them like chemistry.

No. of boys who prefer biology = 100-39-16-34+11

                                                    = 22

Percentage of students who prefer biology = [tex]\frac{21+22}{100}[/tex] × 100%

                                                                        = [tex]\frac{43}{100}[/tex] × 100%

                                                                        = 43%

Answer:

I think it might be d

Step-by-step explanation:

Answer: D I think?

Step-by-step explanation:

Answer: ) (0,0), (0,2), (2,0), (4,2); Maximum value of 10

Hope this helps :)

9514 1404 393

Answer:

Step-by-step explanation:

We cannot tell what kind of proportionality to assume here.

If x and y are directly proportional, multiplying one by a factor will multiply the other by the same factor.

If x and y are inversely proportional, multiplying one by a factor will divide the other by the same factor.

__

1. Given (x, y) = (2, 24). Direct: y = 9/2(24) = 108.

  Inverse: y = 2/9(24) = 16/3

__

2. Given (x, y) = (25, 18). Direct: y = 30/25(18) = 108/5.

  Inverse: y = 25/30(18) = 15.

__

3. Given (x, y) = (1, 10). Direct: y = 20/1(10) = 200.

  Inverse: y = 1/20(10) = 1/2.

__

4. Given (x, y) = (21, 10). Direct: x = 35/10(21) = 147/2.

  Inverse: x = 10/35(21) = 6.

Answer:a

Step-by-step explanation:

Step-by-step explanation:

6+ 8x-8 = 6x +8

-2+8x= 6x+8

-6x+8x=2+8

2x=10/2

x=5

The mistake was that u didn't change 6x in ti-6x. when u transfer numbers over the = thery change if positive to negative and if negative to positive

I hope I helped

Answer: for b: function one has a greater rate of change

Step-by-step explanation: sorry i don't know the first one

Answer:

a) -2 and 4, b) function 2

Step-by-step explanation:

Rate of change is the same thing as slope. For the first function, the table, we can use two of the points and the slope formula. I'll use (-1,3) and (-2,5). Remember the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Plug the points in:

[tex]m=\frac{5-3}{-2-(-1)}\\m=\frac{2}{-1}\\m=-2[/tex]

(Remember that subtracting a negative = adding. I look at it like the two 'minus' signs form one plus sign, if that helps)

So the slope of function 1 is -2.

We can do the same thing with the second function. Two points that I notice on the graph are (-1,0) and (0,4). Let's use the same slope formula.

[tex]m=\frac{4-0}{0-(-1)}\\m=\frac{4}{1}\\m=4[/tex]

And the slope of function 2 is 4. That answers the first part. The second part asks about rate of change.

Function 2 has a greater rate of change, since 4>-2.

Hope this helps!

Given the total number of notes is eight and their value total is $550, then you have 5 notes of $50 and 3 notes of $100

As per the question statement, You have [tex]x[/tex] number of $50 notes and [tex]y[/tex] number of $100 notes. Their total value of $550 and total number of notes are eight. We are supposed to calculate the value of [tex]x[/tex] & [tex]y[/tex]

This question is a classic example of how to form and solve linear equations. For solving this, we will have two equations, both in two variable x and y.

As we have total 8 notes, therefore,

[tex]x+y=8[/tex]

And their total value is 550, therefore,

[tex]x*50+y*100=550[/tex]

From 1st equation we get, [tex]y=8-x[/tex]

substituting this in another equation, we get

[tex]x*50+(8-x)(100)=550\\50x+800-100x=550\\800-50x=550\\50x=250\\x=5[/tex]

Solving for y, we get

[tex]y=8-x\\x=5\\y=8-5\\y=3[/tex]

Therefore we have 5 notes of $50 i.e., [tex]x=5[/tex] and 3 notes of $100 i.e., [tex]y=3[/tex]

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The coordinates of the midpoint are 22,-4.

A location that is halfway between two other points is considered to be a line segment's midway. The distance between the midway and each endpoint is the same.

Given that the coordinates of the midpoint of a segment with the given points. 16,5 and 28,-13.

The midpoint will be calculated as:-

M = ( x₁ + x₂ ) / 2 , ( y₁ + y₂ ) / 2 ,

M = ( 16  + 28 ) / 2 , ( 5 - 13  ) / 2 ,

M = ( 44 ) / 2 , ( -8 ) / 2 ,

M = 22 , -4

Therefore, the coordinates of the midpoint are 22,-4.

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Answer:   [tex]\frac{14y}{25x^2}[/tex]

====================================================

Work Shown:

First calculate [tex]\frac{dy}{dx}[/tex] through the use of implicit differentiation.

Don't forget about the chain rule.

[tex]y^5 = x^7\\\\\frac{d}{dx}\left[y^5\right] = \frac{d}{dx}\left[x^7\right]\\\\5y^4\frac{dy}{dx} = 7x^6\\\\\frac{dy}{dx} = \frac{7x^6}{5y^4}\\\\[/tex]

Go back to line 3, shown above, and apply the derivative to both sides.

You'll be using the product rule.

[tex]5y^4\frac{dy}{dx} = 7x^6\\\\\frac{d}{dx}\left[5y^4\frac{dy}{dx}\right] = \frac{d}{dx}\left[7x^6\right]\\\\\frac{d}{dx}\left[5y^4\right]*\frac{dy}{dx}+5y^4*\frac{d}{dx}\left[\frac{dy}{dx}\right] = 42x^5\\\\20y^3*\frac{dy}{dx}*\frac{dy}{dx}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]

Use substitution and isolate [tex]\frac{d^2y}{dx^2}[/tex] to get the following:

[tex]20y^3*\left(\frac{dy}{dx}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\20y^3*\left(\frac{7x^6}{5y^4}\right)^2+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5y^5}+5y^4*\frac{d^2y}{dx^2} = 42x^5\\\\\frac{196x^{12}}{5x^7}+5y^4\frac{d^2y}{dx^2} = 42x^5\\\\[/tex]

[tex]\frac{196x^5}{5}+5y^4*\frac{d^2y}{dx^2}=42x^5\\\\5y^4*\frac{d^2y}{dx^2}=42x^5-\frac{196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{210x^5-196x^5}{5}\\\\5y^4*\frac{d^2y}{dx^2}=\frac{14x^5}{5}\\\\[/tex]

[tex]\frac{d^2y}{dx^2}=\frac{14x^5}{5}*\frac{1}{5y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5}{25y^4}\\\\\frac{d^2y}{dx^2}=\frac{14x^5*x^2}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14x^7}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y^5}{25y^4*x^2}\\\\\frac{d^2y}{dx^2}=\frac{14y}{25x^2}\\\\[/tex]

Answer:

a) 25

b) 59

c) Too lazy

Step-by-step explanation:

If 30% were to be a decimal, it would be 0.3 because 30% of 1 is 0.3. We will use this to figure out how many purple skittles there are.

A) To find the amount of purple skittles we must multiply the total number of skittles by the percent (in this case 0.3). Equation = (84*0.3=25.2) You can't really have 0.2 of a skittle so we would round down to the whole number (25).

B) Knowing the number of purple skittles, finding the number of non-purple skittles is straightforward. All you have to do is subtract the # of purple skittles from the total amount of skittles (84-25=59).

C) Kinda forgot how to do this but good luck

Answer:

3

Step-by-step explanation:

Answer: Answer is D

Step-by-step explanation:

I just did the question

Answer:

(3,22.50)

(6, 33)

Rise/Run using two points

33-22.50/ 6-3

10.5/3

Rate = 3.5

Answer:

The answer you selected, E, A, D, C, B, is correct

Step-by-step explanation:

So, to solve this, you would first need to put all of the given numbers into the same form, and in this example, I will put them all in decimal form.

Once put in decimal form, here is the value of each letter:

You can now put the numbers in least to greatest order, which will get you the answer E, A, D, C, B.

Hope I helped!!! :)

Answer:

Step-by-step explanation:

The installation fee is one off payment and tiles price depends on the area, so the total price for f square foot tile is:

It seems to be the option C but there is a typo (missing f)

Answer:

Given:

Option C represents the answer.

Answer - c = 2.75f + 150

Answer:

C

Step-by-step explanation:

Senators don't need to be born in the United States. They only need nine years of U.S. citizenship to qualify for office.

Answer:

its c cause its cool

Step-by-step explanation:

Hi there!

The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.

The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°

Below is the corrected solving.

[tex]13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360[/tex]

(reason: angles at a point = 360°)

Collect like terms, and make x the subject of formula.

[tex]⟹50x + 10 = 360[/tex]

[tex]⟹50x = 360 - 10[/tex]

[tex]⟹50x = 350[/tex]

Now, divide both sides by 50 to find the value of x.

[tex] \frac{50x}{50} = \frac{350}{50} [/tex]

Therefore:

[tex]x = 7[/tex]

Answer:

2x-1

Step-by-step explanation:

hope you get help from me

Answer:

vsgysshsbsjjsdjususushdggdhwhs

Answer:

balloons= 9

candles= 8

Step-by-step explanation:

let the number of balloons be x

and candles be y

So

15x+8y=192----------1

x+y=17--------------2

from 2, x= 17-y

put x= 17-y in 1

15( 17-y)+8y=192

255-15y+8y=192

solve for y

-7y=192-255

-7y=-63

x=63/7

x=9

put x= 9 in 1

9+y=17

y= 17-9

y=8.

Answer:i would say the answer is A

Step-by-step explanation:its my personal opinion i hope it helps