Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. x = et, y = e3t + 4

Clare's answer and reasoning are incorrect because she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation and the correct quotient is 8/15, not 10/3.

To perform the division operation (4/3) ÷ (5/2), we need to first divide the numerator by the denominator.

This gives us (4/3) ÷ (5/2) = 8/15.

Thus, Clare's reasoning is incorrect because she did not apply the order of operations when simplifying the expression.

Instead, she performed the multiplication operation (4/3) × 5 = 20/3 before the division operation (20/3) ÷ 2 = 10/3.

Therefore, the correct quotient is 8/15, not 10/3.

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Answer:

b. 0.08x + 20

Step-by-step explanation:

its B because the price goes up $40 every 500 KW's so

40 divided by 500 = 0.08

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

From the graph we have, (500, 60), (1000, 100), (1500, 140) and (2000, 180).

We know that, slope of a line is Slope=(y2-y1)/(x2-x1)

= (100-60)/500

= 40/500

= 0.08

Substitute m=0.08 and (x, y)=(500, 60) in y=mx+c, we get

60=0.08(500)+c

60=40+c

c=20

Substitute m=0.08 and c=20 in y=mx+c, we get

y=0.08x+20

The expression used to calculate Naomi's electricity cost after using x kilowatt hours is 0.08x+20. Therefore, option B is the correct answer.

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Answer:

No

Step-by-step explanation:

Because a vertical line can intersect the curve more than once, the graph does not represent a function.

cx + cy = a² + b² is the next step to prove the theorem.

Given,

The given Pythagorean theorem was created by Todd.

With leg lengths a and b and a hypotenuse length of c, he drew right

ΔABC. The hypotenuse was then drawn with altitude C Z.

He finds that the equations c/a=a/x and c/b=b/y. He then discovers that c x=a² and c y=b².

We have to find the next step to prove the theorem;

Here,

The next step is to add cx and cy

That is,

cx + cy = a² + b²

Then,

c(x + y) =  a² + b²

c² =  a² + b²

Therefore,

The next step to prove the theorem is cx + cy = a² + b²

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Here is the two column proof:

     Statement                                        Reason                                              

Answer: 25.49

Because the internet has a good calculator

n+23=33 - This equation shows this relationship.

Let, one number be = n

another number is =23

The sum of two numbers is = 33

The sum is the result of adding two or more numbers in mathematics. It is an essential and valuable concept in mathematics. The numbers which are to be added are called addends.

In short, some can be defined as a way by which all things can be put together. We can show an equation of a sum horizontally or vertically.

Horizontal Addition :

     59+37=96

Vertical addition:

    59

   +37

   = 96

Therefore, the equation is:  n+23 =33

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Answer:18/61 0r decimal form 0.20

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2x4=8   8-4=4

Answer:

[tex]\frac{\sqrt{6}-\sqrt{2} }{4}[/tex]

Step-by-step explanation:

You have to use your calculator if you have one.

The p-value of the test hypothesis is given as follows:

0.2420.

At the null hypothesis, it is tested if the proportion is not greater than 40%, that is:

[tex]H_0: p \leq 0.4[/tex]

At the alternative hypothesis, it is tested if the proportion is greater than 40%, that is:

[tex]H_1: p > 0.4[/tex]

The test statistic is given by the equation presented as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which the parameters are defined as follows:

The values of these parameters for this problem are given as follows:

[tex]p = 0.4, n = 215, \overline{p} = \frac{91}{215} = 0.4233[/tex]

Hence the test statistic is given as follows:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4233 - 0.4}{\sqrt{\frac{0.4(0.6)}{215}}}[/tex]

z = 0.7.

Using a z-distribution calculator, with a right-tailed test, as we are testing if the proportion is greater than a value, the p-value is of:

0.2420.

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Answer: 5x= 25

Step-by-step explanation:

Answer:  The correct answer is A. 5x = 25

Step-by-step explanation:

Add the equations:

2x - 3y = -1

3x + 3y = 26

Add the like terms:

2x + 3x = 5x

3y + -3y = 0

26 + -1 = 25

The resulting equation:

5x = 25

Answer:

6

Step-by-step explanation:

The correct option is C (-2, 1)

According to the question,

3x -4y = -10 --------equation 1

3x = 10 + 4y

[tex]x = \frac{ - 10 + 4y}{3} [/tex]

Also,

4x + 2y = -6 --------equation 2

Put the value of x in the equation,

4((−10+4y)÷3)+2y=−6

[tex] - \frac{40}{3} + \frac{16y}{3} + 2y = - 6[/tex]

[tex] \frac{ - 40 + 16y + 6y}{3} = - 6[/tex]

-40 + 22y = -6*3

-40 + 22y = -18

22y = 40-18

22y=22

y=1

Solving equation 1 for x by putting values if y

3x-4=-10

3x=-6

x=-2

Hence the values of x is -2 and y is 1

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Answer: x = 7

Step-by-step explanation:

15(x+2) = R because they are equal angles.

set 135 = 15(x=2) because they are opposite each other so they equal each other

[tex]\frac{135}{15} =\frac{15(x+2)}{15} \\9 = x+2\\x=7[/tex]

Multiply the width by the length:

14 • 16 = 224

Its area is 224.

Answer:

the answer is  87!

Answer: 6561

Step-by-step explanation: 6+3=9

9^4 = 9*9*9*9 = 81 * 81 = 6561

Answer:

7.62 units C

The probability that the next customer pays with a debit card or a credit card will be 0.28.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Jacob claims an independent venture selling bagels. He realizes that somewhat recently 108 clients paid cash, 24 clients utilized a charge debit card, and 18 clients utilized a credit card.

The total number of events is given as,

Total event = 108 + 24 + 18

Total event = 150

The probability that the next customer pays with a debit card or a credit card is written as,

P = (24 / 150) + (18 / 150)

P = 42 / 150

P = 0.28

The likelihood that the following client pays with a check card or a Visa will be 0.28.

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Answer:

Step-by-step explanation:0.28

[tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

A power function is a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number.

The function is [tex]2x^{x}[/tex] is not a power function because a power function requires the exponent to be a constant value.

In the given function the variable x as power x which is variable.

The variable exponent should be constant.

When x is zero it is undefined. Another issue is the table indicates for negative values the output alternates between being positive and negative. So it is also not an exponential function either.

Hence,  [tex]2x^{x}[/tex] is not a power function because variable exponent should be constant.

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Answer:

Step-by-step explanation:

First of all, WHO IN THEIR RIGHT MIND NEEDS THAT MANY PEANUTS

Second:

1lb=16oz

5oz≈1/3lb

149×5=745 ((I have no idea where this is going))

745oz=46.5625 ((You can do the rounding my head hurts.))

Answer: 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink.

Step-by-step explanation:

We can use the principle of linear equations. Let's say that the first type of drink is represented by x, and the second type is represented by y. We can then set up the following system of equations:

x + y = 170 (1)

0.4x + 0.9y = 0.45 * 170 (2)

We can solve for x and y using the methods of linear algebra. To do this, we can multiply equation (1) by 0.9, and equation (2) by 0.4, and then subtract the two equations to get the following equation:

0.9x - 0.4y = 0.45 * 170 - 0.4x - 0.9y

0.5x = 0.45 * 170 - 0.9y

x = (0.45 * 170 - 0.9y) / 0.5

We can substitute this expression for x into equation (1) and solve for y:

y = 170 - x

y = 170 - (0.45 * 170 - 0.9y) / 0.5

2.2y = 170 - 0.45 * 170

y = (170 - 0.45 * 170) / 2.2

y = 85 / 2.2

We can then substitute this value for y back into equation (1) to solve for x:

x = 170 - y

x = 170 - (85 / 2.2)

x = 170 - 38.63636

x = 131.36363

Therefore, the Royal Fruit Company needs to use 131.36363 pints of the first type of drink, and 38.63636 pints of the second type of drink, in order to produce 170 pints of a mixture that is 45% pure fruit juice.

The vectorial physical quantity that measures the intensity of the interaction between two or more objects is called force.

The force is a vector quantity, it is completely defined with:

In physics, it is established that physics is any factor capable of generating a deformation or change of state, in the movement, of a body. From Newton's second law, a force can be calculated as:

Where:

Force is the vector quantity with which we can express, for example, the intensity of interaction between two or more bodies.

¡Hope this helped!

∠COD=72°

what is angle?

When two lines meet at a point, an angle is created. An "angle" is the measurement of the "opening" between these two rays. It is symbolised by the character. The circularity or rotation of an angle is often measured in degrees and radians. Angles are a common occurrence in daily life. Angles are used by engineers and architects to create highways, structures, and sports venues.

Given:

Let, ∠AOB=a=42°

∠EOF=b=66°

∠AOF=c

∠COD=d

by angle sum property,

a+b+c=180°

42°+66°+c=180°

c=72°

c=d because alternate angles are same

therefore d=72°

hence proved.

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The total surface area of the moon is A = 79,98,258[tex]miles^{2}[/tex]

or  A =  2.07153931 × [tex]10^{13} m^{2}[/tex]

as per given in the question,

the radius of the moon ( r) is 798 miles

to find the area of the total surface area of the cylinder

Area (A) = [tex]4\pi r^{2}[/tex]  where r is radius of the sphere,

by substituting the radius in total surface area formula area,

A = [tex]4\pi (798) ^{2}[/tex]

                                    ( let [tex]\pi =3.14[/tex])

A = [tex]4\times3.14\times798\times798[/tex]

A = [tex]12.56\times63684[/tex]

A = 79,98,258.24

                               ( by rounding to the nearest whole number we get )

A = 79,98,258[tex]miles^{2}[/tex]

or we can write in

A =  2.07153931 × [tex]10^{13} m^{2}[/tex]

                                              ( in terms of meters)

the total surface are of the sphere is A = 79,98,258[tex]miles^{2}[/tex]

A =  2.07153931 × [tex]10^{13} m^{2}[/tex]

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The dog is playing with his chew toy!

Answer:

Explanation

Step-by-step explanation:

In general, dogs can run 15-20 mph

humans can run 6-8 mph

You are significantly slower than the dog,

the fastest human is around 27 miles per hour, unfortunately, even if you were this fast

the fastest dog can run 40 miles per hour as an estimate

even house cats can run at 30 mph maximum if they really wanted,

You have no chance of outrunning this dog, and barely a chance of outsmarting it if that option was available, in conclusion, the dog is chasing you at a speed of around 30 mph about 6-7x more than your own speed with no chance of outrunning it(the dog).

Answer:

Yes it is true.............

Answer:

Step-by-step explanation:

9 ≤ b

( I think unless it faces the other side...if wrong then I'm sorry)

The solution of the given system of equation is x = -3 and y = 4 respectively.      

A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.

The given system of equations is as,

y = 4x + 16                   (1)

y = −2x − 2                  (2)

In order to solve them, substitute equation (2) into (1) as follows,

4x + 16 = −2x − 2

=> 4x + 2x = -2 - 16

=> 6x = -18

=> x  = -3

Then, y = -2 × -3 - 2 = 4

Hence, the solution of the given system of equation is x = -3 and y = 4.  

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