Help me do these proofs please

Answer:

No

Step-by-step explanation:

When you divide by 0, you will get an undefined error. When you try to graph a divide by 0, you will get asymptotes.

Answer:

no

Step-by-step explanation:

Answer: Resistance = 0.8106 ohms.

Step-by-step explanation:

Electrical resistance is proportional to the length of a wire.

The relationship between resistance and length of a wire can be expressed as;

L1/R1 = L2/R2

Let L1 = 160 ft, R1 = 16.212 ohms

L2 = 8ft, R2 = ?

Substitutes all the parameters values into the formula

160/16.212 = 8/R2

Cross multiply

160R2 = 129.696

R2 = 129.696/160

R2 = 0.8106 ohms.

Therefore, the resistance of 8 ft. of wire will be 0.8106 ohms.

Answer:

243,729

Step-by-step explanation:

You just need to multiply each number by 3.

I hope this help you :)

Answer:

243, 729

Explanation:

To solve this problem we must first understand what the pattern is in the sequence. Once we understand the pattern, we can then apply it to the final known term to find the next two terms.

Take a look at the sequence given:

1, 3, 9, 27, 81,...

Let's start by figuring out how they got the second term in the sequence. To do that, identify what basic operation and number must be applied. This will reveal the pattern.

1 - first term

3 - second term

1 ? ? = 3

1 × 3 = 3

So, this means the sequence multiplied three to get the next term. Therefore, the pattern should be 'multiply three' to get the next term. Just to be sure the pattern we found is correct, apply it to the given sequence.

1, 3, 9, 27, 81,...

1 × 3 = 3

3 × 3 = 9

9 × 3 = 27

27 × 3 = 81

So, since 'multiply three' every time gives us the next term, the pattern is correct.

Finally, let's continue the pattern to find the next two terms.

81 × 3 = 243

243 × 3 = 729

Therefore, the next two terms in the sequence are 243, 729.

Answer:

6 and 6

Step-by-step explanation:

In equilateral triangles, all sides are congruent so that means that BC and CA are both 6.

Answer:

BC = 6

CA = 6

Step-by-step explanation:

In an equilateral triangle all measures of side are equal.

Therefore,

AB = BC = CA = 6

Answer:

19.21%

Step-by-step explanation:

What we must do is calculate the z value in order to find the probability.

We have that z is equal to:

z = (x - n * p) / (n * p * q) ^ (1/2)

where x is the value to evaluate and is 180, n random sample that is 450 and p that is the probability that is 38 and q the complement of p, therefore it is 62%, we replace:

z = (180 - 450 * 0.38) / (450 * 0.38 * 0.62) ^ (1/2)

z = 0.87

increasing taxes = P (x> 180)

= P (z> 0.87)

= 1 - P (z <= 0.87)

= 1 - 0.8079

= 0.1921

In other words, the probability is 19.21%

Answer:

P (z> (0.4 - 0.38) / SQUARE ROOT OF (0.62*0.38)/450)

Step-by-step explanation:

Got it right! If you calculate this, you actually will get 19.21%, as the previous answer states.

Earned 5 points, have a lovely day!

Answer:

x=-3/4 x=-1/4

Step-by-step explanation:

x-1=5x+2

-3=4x

x=-3/4

x+1=5x+2

-1=4x

x=-1/4

Answer:

29

Step-by-step explanation:

23

Answer:

For an nth term in an arithmetic sequence

U(n) = a + (n - 1 )d

a = first term

d = common difference

U(n) = 10 + (n -1)-3

= 10 - 3n + 3

= 13 - 3n

Hope this helps.

Answer: -3n + 13

Step-by-step explanation:

Answer:

(-15,12),(6,18)(12,-9)

Step-by-step explanation:

Given

A (-5, -4), B (2, 6), and C (4, -3)

Dilated from (x,y) to (3x,3y)

Required

Vertices of the dilated image

First, the scale factor has to be calculated

This is calculated as thus;

Dilation = Original * Scale Factor;

In case of (x,y) to (3x,3y)

So, we have

[tex](3x,3y) = Scale\ Factor * (x,y)[/tex]

Simplify brackets

[tex]3(x,y) = Scale\ Factor * (x,y)[/tex]

Divide both sides by (x,y)

[tex]\frac{3(x,y)}{(x,y)} = \frac{Scale\ Factor * (x,y)}{(x,y)}[/tex]

[tex]\frac{Scale\ Factor * (x,y)}{(x,y)}=\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =\frac{3(x,y)}{(x,y)}[/tex]

[tex]Scale\ Factor =3[/tex]

Now, the vertices of the new image can be calculated;

Using the formula: Dilation = Original * Scale Factor;

At vertex A(-5,4)

Dilation = (-5,4) * 3

Dilation = (-5*3 ,4*3)

Dilation = (-15,12)

At vertex B(2,6)

Dilation = (2,6) * 3

Dilation = (2*3 ,6*3)

Dilation = (6,18)

At vertex C(4,-3)

Dilation = (4,-3) * 3

Dilation = (4*3 ,-3*3)

Dilation = (12,-9)

Hence, the vertices of the dilated image are (-15,12),(6,18)(12,-9)

Answer:

Check below

Step-by-step explanation:

Hi there!

1)Assuming that we're dealing with a Three Dimensional plane, with their three axes xyz.

To construct a line m in which every y-coordinate is y= [tex]1\tfrac{1}{2}=\frac{3}{2}=1.5[/tex], to have the y -coordinate will be constant on  [tex]1\tfrac{1}{2}[/tex].

Similarly, the same for the line n with its z-coordinate fixed on  [tex]5\tfrac{1}{2}[/tex]

2) Since we're on a 3D plane with not two but three axes x, y, and z, the line in 2D (just x and y view) will be seen as planes. Check the second picture, please.

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Answer:

1.2 million

Step-by-step explanation:

First multiply the equation by 100. You get:  

600,000 = 100bu + 400,000

Now recognize that you can substitute:

600,000 + 100bu + 400,000

= 600,000 + (600,000)

= 1,200,000

That’s 1.2 million.

The value of the equation given is 1.2 millions.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, an equation, 6,000 = bu + 4,000, we need to find the value of the equation 600,000 + 100 bu + 400,000,

So, In the equation 1, multiply by 100, we get,

6,000 = bu + 4,000

600000 = 100 bu + 400000

Now, put this in equation 2,

600,000 + 100 bu + 400,000

= 600000 + 600000

= 1200000

= 1.2 millions

Hence, the value of the equation given is 1.2 millions.

Learn more about equations, click;

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Answer:

D.) 750

Step-by-step explanation:

3000-25%= 2250

3000-2250=750

Answer:

(D) $750

Step-by-step explanation:

[tex]3000* 0.25=750[/tex]

Answer:

80% of the rectangle is shaded.

Step-by-step explanation:

There are 10 rows and of those rows 8 are shaded.

Answer:

D

Step-by-step explanation:

80/10

10 20 30 40 50 60 70 80 90 100

 8 shaded so 80 percent

Answer:

Step-by-step explanation:

-18/-9=2

A:

-18/2=-9

B:

-12/-3=4

C:

-10/5=-2

D:

-8/-4=2

Thus the answer is D

Answer:

141.9° (1 d.p.)

Step-by-step explanation:

Please see attached picture for full solution.

Sine rule cannot be used since there is no given angle in △PQR. Note that the bearing of Q from P (041°) equals to ∠NPQ not ∠PQR.

Answer: 184

Step-by-step explanation:

so edmund would have a 2 by 2 cube (try and draw it out if that helps) so

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

so samuel cubeboid would be

long = 4

wide = 6

hight = 8

8 x 6 x 4 = 192 small cubes

but we are trying to find how much more samuel got

so 192 - 8 = 184

1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!

Answer:

224

Step-by-step explanation:

Khan hehe

Answer:

Answer is option d

Answer is given below with explanations.

Step-by-step explanation:

We can prove that the two triangles are similar.

We can prove this using AA criterion of similarity.

In triangle DNC and triangle QSC

Vertically opposite angles are equal.

Then Angle QCS = Angle DCN

Two parallel lines cut by a transversal line make the alternate angles are equal.

Then Angle NDC = Angle CQS

By AA criterion of similarity

TRIANGLE DNC ~ TRIANGLE QSC

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

If the only perimeters are that the length has to be twice the width and less than 108 meters then there are an infinite amount of possible values for width. For example: 1.0002 and 2.0004 or 4 and 8. You can use an infinite amount of decimal places and therefore have an infinite amount of values.

The largest the width can be is the limit approaching 18 and it has to be greater than 0 tho

Answer: 3 < pi < 4

Step-by-step explanation:

Answer: C

Step-by-step explanation:

If we know the value of the car decreases $500 for every 1,000 miles, and that the car is driven about 10,000 miles every year, that means that you need to take the total value of the car (23,000) and subtract it from the amount of money it is losing per year. Again, the car is driven about 10,000 miles per year, so that means that the car will most likely continue to be driven 10,000 miles per year. If you do the math, for one year, the value of the car will drop $5,000 ($500 x 10, because it is $500 per every 1,000 miles) So, for each year, you can just multiply the number of years by $5,000 to find out how much the vehicle has depreciated over time.

Hope this helped you and made sense! Feel free to ask me any questions you have!

Answer:x+y=24  

is the respuesta

Answer:

7/2

Step-by-step explanation:

you got two fractions you wanna divide flip the right and multiply

7/8 times 4/1 = 7/2

7/8 divided by 1/4 is equal to 7/2.

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, we have:

(7/8) ÷ (1/4)

To find the reciprocal of 1/4, we flip the fraction, which gives us 4/1.

Now, we can multiply the first fraction by the reciprocal:

(7/8) × (4/1)

Multiplying the numerators and denominators, we get:

(7 × 4) / (8 × 1)

28/8

The fraction 28/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4:

(28 ÷ 4) / (8 ÷ 4)

7/2

Therefore, 7/8 divided by 1/4 is equal to 7/2.

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Answer:

if 52x=1 what is the value of x

Answer:

5.

Step-by-step explanation:

Khan academy (I tried 5 and it was correct)

Answer:

Interpreting as: x+3x+2=3+1x

Input:

x + 3 x + 2 = 3 + 1 x

Result:

4 x + 2 = x + 3

We want to find the solution set of the equation:

x + 3x + 2 = 3 + 1/x

The solution set is { (1 + √17)/8, (1 - √17)/8)}

To find this, we just need to solve the equation for x.

We start with:

x + 3x + 2 = 3 + 1/x

We simplify this to:

(x + 3x) + 2 = 3 + 1/x

4x + 2 = 3 + 1/x

4x + 2 - 3 - 1/x = 0

4x - 1 - 1/x = 0

Then we multiply by x in both sides to get:

4x^2 - x - 1 = 0

This is just a quadratic equation, the solutions are given by Bhaskara's equation.

[tex]x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*4*(-1)} }{2*4} \\\\x = \frac{1 \pm \sqrt{17} }{8}[/tex]

Then the solution set is: { (1 + √17)/8, (1 - √17)/8)}

If you want to learn more, you can read:

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Answer: 0

Step-by-step explanation:

You can solve for tangent by dividing sin by cos.

Looking at the unit circle, at 0, sin is 1 and cos is 0, so you would simply have 0/1, which equals zero.

Answer:

y/x. Just took a quiz and this was the answer

Answer:

Part B)

[tex]\displaystyle h^\prime(t)=\frac{2t^3(4-t^3)}{(t^3+2)^3}[/tex]

Part C)

[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]

Step-by-Step Explanation:

Question B)

We have:

[tex]\displaystyle h(t)=(\frac{t^2}{t^3+2})^2[/tex]

And we want to find the derivative, h‘(t).

This will require the chain rule and the quotient rule. Remember that the chain rule states:

[tex]\displaystyle \frac{d}{dx}[(u(v(x))]=u^\prime(v(x))\cdot v^\prime(x)[/tex]

And the quotient rule:

[tex]\displaystyle \frac{d}{dx}[\frac{u}{v}]=\frac{u^\prime v-uv^\prime}{v^2}[/tex]

Therefore, for our function h(t), we can let, by the chain rule:

[tex]\displaystyle v(t)=\frac{t^2}{t^3+2}\text{ and } u(t)=t^2[/tex]

Then by the quotient rule:

[tex]\displaystyle v^\prime(t)=\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2}\text{ and } u^\prime(t)=2t[/tex]

Then, by the chain rule, our derivative, h’(t), is:

[tex]\displaystyle h^\prime(t)=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})[/tex]

Simplify:

[tex]\begin{aligned} \displaystyle h^\prime(t)&=2(\frac{t^2}{t^3+2})(\frac{2t(t^3+2)-t^2(3t^2)}{(t^3+2)^2})\\ \\ &=\frac{2t^2}{t^3+2}(\frac{2t^4+4t-3t^4}{(t^3+2)^2})\\ \\ &= \frac{2t^2}{t^3+2}(\frac{-t^4+4t}{(t^3+2)^2}) \\ \\ &=\frac{2t^3(4-t^3)}{(t^3+2)^3} \end{aligned}[/tex]

Part C)

We have:

[tex]h(t)=2\cot^2(\pi t+2)[/tex]

Again, we will utilize the chain rule. This time, we will let:

[tex]u(t)=x^2\text{ and } v(t)=\cot(\pi t+2)[/tex]

Then differentiating gives (on the right, we will apply the chain rule a second time):

[tex]u^\prime(t)=2t\text{ and } v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]

To differentiate v(t), as mentioned, we need to apply the chain rule. We have:

[tex]v(t)=\cot(\pi t+2)[/tex]

We will let:

[tex]u_2(t)=\cot(t)\text{ and } v_2(t)=\pi t+2[/tex]

Therefore:

[tex]u_2^\prime(t)=-\csc^2(t)\text{ and } v_2^\prime(t)=\pi[/tex]

So:

[tex]v^\prime(t)=-\csc^2(\pi t+2)(\pi)[/tex]

And by simplification:

[tex]v^\prime(t)=-\pi\csc^2(\pi t+2)[/tex]

Therefore, it follows that:

[tex]h^\prime(t)=2[2(\cot(\pi t+2))(-\pi \csc^2(\pi t+2))][/tex]

So:

[tex]h^\prime(t)=-4\pi\cot(\pi t+2)\csc^2(\pi t+2)[/tex]

Answer:

1/6 <x

Step-by-step explanation:

-2(8x - 4) < 2x + 5

Distribute

-16x +8 < 2x+5

Add 16x to each side

-16x+16x +8 < 2x+16x+5

8 < 18x +5

Subtract 5 from each side

8-5 <18x

3 <18x

Divide by 18

3/18 <x

1/6 <x

-2(8x - 4) < 2x + 5

Expand the brackets.

-16x +8 < 2x + 5

Add -2x and -8 on both sides.

-16x -2x<5-8

-18x<-3

Multiply both sides with -1 (reverse the inequalty).

18x>3

Divide 18 into both sides.

18x/18>3/18