The information below represents the cost of Lang's car ownership. What is his average monthly expenditure related to his car?

● Auto loan of $568.85 per month
● Auto insurance of $58.92 per month
● Gasoline expenditure of $1,923.00 for year
● New tires $530.90
● Repairs $607.00

Answer:

Line 1:

We know that the dotted line is the first equation since it is the only one without an 'equal to'

We can see that the y-intercept of the line is '+2'

Now to find its slope

since slope is rise/run and we see that the slope goes down 4 units while travelling only 2 units on the x plane

So, the slope  = -2

Hence, it's formula is y _ -2x  +2

i left a dash in the equation to explain why it will be a '<'

In the graph, we can see that the shaded region is the area where values of all the graphs overlap

Hence, for the area of overlap to be below our line 1, the symbol is <

Therefore, the equation for line 1:

y < -2x + 2

This eliminated option 1 and 4 since their equation is different

Line 2:

Again in this one, the symbol will be a less than since the area of overlap is below the line but since the line is not dotted,

the symbol will be ≤ (less than or equal to)

One of the 2 remaining lines is linear and since the line in question is not linear, we know which line we are talking about

Now to find its equation

y-intercept = -1

Slope = Rise / Run

Since its y increases by 1 whenever the x increases by 2

Rise = 1      Run = 2

Slope = 1/2

Equation:

y ≤ x/2 -1

Now that we have 2 of the 3 equations, we are basically done

We can see that the only system of inequalities that satisfies our equations is 2

Hence, option 'b' is correct

Answer:

y^2 = 2x + 6

2x = y^2 - 6

x = 1/2(y^2 - 6)

The points of intersection of the  curves are  calculated:

y + 1 = 1/2( y^2 - 6)

2y + 2 = y^2 - 6

y^2 - 2y - 8 = 0

( y - 4)(y + 2) = 0

y = 4, -2

when y = 4, x = 5 and when y = -2 x = -1.

Integrating between  y = 4 and y = -2

     4

     INT  [ ( y + 1 + 1/2 (6 - y^2) ]dy

     -2

=    4

    {   y^2 / 2 + y + 3y - y^3/6 }

 -2

= 13 1/3 - (-4 2/3)

13 1/3 + 4 2/3

= 18  answer.

Answer:

i think its 18.

Step-by-step explanation:

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

Answer:

you do it step by step so it can be expressed

The zeros of the quadratic equation, y = x² + 6x - 16 come out to be 2 and -8.

Given in the question, the quadratic equation is

f (x) = x² + 6x - 16

We need to find f (x) = 0

Compare the equation to ax² + bx + c

Thus, a = 1

b = 6

c = -16

To solve the above question, we use to process of middle-term splitting. Firstly, we have to multiply the a and c of the given equation and we get 1 * -16 = 16

Then we have to find the factor of the product such that on addition or subtraction they are equal to b and in this case 6.

So the factors of 16 such that on addition or subtraction, they result in 6 are 8 and 2 as 8 - 2 = 6

We split the middle term in the above factor and thus the equation formed is x² + 8x - 2x - 16

Then we have to take the common factors and solve for zeroes.

x ( x + 8) - 2 (x + 8) = 0

(x - 2)(x + 8) = 0

x = 2 or x = -8

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Answer:

Step-by-step explanation:

Surface area of a cylinder:

Substitute values:

Matching choice is C

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Yes, this is an example of bias, specifically, response bias.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

Response bias occurs when the answers given by respondents in a survey do not accurately reflect their true opinions or beliefs. In this case, the question asked by the soft drink company is leading and suggestive, and it suggests that the company's product is superior to its rival's product. By framing the question in this way, the soft drink company is more likely to receive a positive response from respondents, even if they do not actually believe that the company's product is better than its rival's product.

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Answer:

-5

Step-by-step explanation:

(i^2) = -1 so -1 -1 + 3x = 3x - 2. If x = i^2 = -1, then 3x = -3. -3 - 2 = -5

Answer:

44492

Step-by-step explanation:

Answer:

  1 = (x/11)² +24y²/605

Step-by-step explanation:

You want the the equation of an ellipse through the point (1, 5) with ends of its major axis at (±11, 0).

The ellipse equation will have the form ...

  (x/11)² + (y/b)² = 1

for some value 'b' that causes (x, y) = (1, 5) to be a solution to this equation.

Using the given point and solving for b (or b²), we have ...

  (1/11)² +(5/b)² = 1

  25/b² = 1 -1/121 = 120/121

Inverting this equation and multiplying by 25, we have ...

  b² = 605/24

Using this value for b², we can write the equation of the ellipse as ...

  \(\boxed{1=\dfrac{x^2}{121}+\dfrac{24y^2}{605}}\)

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

y = -12/7x + 71/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-7 - 5 / 10 - 3

-12/7

y = -12/7x + b

5 = -12/7(3) + b

5 = -36/7 + b

71/7 = b

Answer: To calculate the amount of canvas needed for one tent, we need to calculate the total surface area of the tent. The tent consists of two parts: the cylindrical lower part and the conical upper part.

The surface area of the cylindrical part can be calculated as follows:

The base area of the cylinder = π × r² = π × 2.8² ≈ 24.61 m²

The lateral area of the cylinder = 2 × π × r × h = 2 × π × 2.8 × 3.5 ≈ 54.99 m²

So, the total surface area of the cylindrical part is the sum of the base area and lateral area, which is:

Total surface area of cylindrical part = 24.61 + 54.99 ≈ 79.60 m²

The surface area of the conical part can be calculated as follows:

The slant height of the cone = √(r² + h²) = √(2.8² + 2.1²) ≈ 3.44 m

The lateral area of the cone = π × r × slant height = π × 2.8 × 3.44 ≈ 24.12 m²

So, the total surface area of the conical part is the sum of the base area and lateral area, which is:

Total surface area of conical part = 24.61 + 24.12 ≈ 48.73 m²

Therefore, the total surface area of one tent is:

Total surface area of one tent = 79.60 + 48.73 ≈ 128.33 m²

To make 1500 tents, the total amount of canvas required is:

Total amount of canvas required = 1500 × 128.33 ≈ 192,495 m²

The cost of the canvas is given as Rs 120 per m². Therefore, the total cost of the canvas required to make the tents is:

Total cost of canvas = 192,495 × 120 ≈ Rs 23,099,400

As 50 schools have decided to share the expenditure equally, the amount shared by each school will be:

Amount shared by each school = Total cost of canvas / 50

Amount shared by each school = 23,099,400 / 50

Amount shared by each school ≈ Rs 461,988

Therefore, each school will have to contribute approximately Rs 461,988 to set up the tents.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

w = -8 -5 =-13=13

Answer:

\( \frac{2}{3} \times 2 \\ = \frac{4}{3} \)

omitir

Step-by-step explanation:

_________________

Answer: B

Step-by-step explanation:

The formula for calculating the future value of an investment with continuous compounding is:

A = Pe^(rt)

where A is the future value, P is the initial principal, e is the mathematical constant approximately equal to 2.71828, r is the annual interest rate as a decimal, and t is the time in years.

In this problem, the initial principal is $7,000, the annual interest rate is 3.5%, and the time is 30 years. Therefore, the future value of the investment is:

A = 7,000 * e^(0.035*30) = $20,003.56

So, the answer is (b) $20,003.56.

Answer:

Step-by-step explanation:

A. 60 + 30 = 90

B. 690000

C. 90 x 2000 = 180000

Answer:

45 two digit odd numbers are possible.

Answer:

5

Step-by-step explanation:

\(35/a\), when a = 7

Substitute

\(35/7\) \(=5\)

Answer:

5

Step-by-step explanation:

You substitute 7 for a in the equation.

35/a ——> 35/7

Evaluate it and your answe is 5.

I hope it helps! Have a great day!

Lilac~

Answer:

yes

Step-by-step explanation:

y=3x + 1

y = -x+5

Check if (1,4) solves the first equation

4 = 3(1)+1

4 = 3+1

4=4

This is true

Check the second equation

4 = -1+5

4=4

This is true

(1,4) is a solution to the system of equations

Answer: True, the point (1, 4) is a solution to that system of equations

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

The figure represents a rhombus because it has all the sides congruent and two of its angles are smaller than the other ones. Also, if you draw two diagonals, they will bisect each other at right angles.

Answer:

D?

Step-by-step explanation:

I'm not completely sure, but there are 2 different 180 degree lines that y falls on. On one line (y+70=180) it is for sure 110 degrees

When measured on the other line it is (y+70+x=180) I'm not too familiar with this??

Answer:

The square root of 32 by 3 is 5.657

If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it. If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.

Step-by-step explanation:

The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

We have to given that;

Based on a weather record, the probability of snowfall in a certain town in New York on January 1 is 0.230.

Now, WE get;

the probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 1 - P (snowfall)

P (no snowfall) = 1 - 0.230

P (no snowfall) = 0.770

Thus, The probability that next year there will be no snowfall in that town on January 1 is,

P (no snowfall) = 0.770

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The function that is decreasing on the same interval as the given function f(x) is h(x) = 2x^2 + 8x + 3.

To determine if a function is increasing or decreasing, we look at the sign of its derivative. If the derivative is positive, the function is increasing, and if the derivative is negative, the function is decreasing.

Taking the derivative of h(x) with respect to x, we get h'(x) = 4x + 8. To find the interval on which h(x) is decreasing, we need to find the values of x for which h'(x) < 0.

Setting h'(x) < 0, we have 4x + 8 < 0. Solving this inequality, we find x < -2.

Therefore, h(x) is decreasing for x < -2. Since the interval where h(x) is decreasing matches the interval for the given function f(x), we can conclude that h(x) = 2x^2 + 8x + 3 is the function that is decreasing on the same interval as f(x).

Overall, the function h(x) = 2x^2 + 8x + 3 is decreasing on the interval x < -2, which aligns with the interval of the given function f(x).

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

y = -1/2x - 5/2

Step-by-step explanation:

y = 2x – 1

Current slope is 2, perpendicular is opposite inverse which is -1/2.

y-intercept through point (-5, 0):

y = mx + b

0 = -1/2(-5) + b

0 = 5/2 + b

b = -5/2

Use the perpendicular slope and b above to form new equation of line:

y = mx + b

y = -1/2x - 5/2