Given that La=-10x-48° and b
a
7
F
rti

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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The only energy released as a result is equal to two ATP molecules. Organisms can turn glucose into carbon dioxide when oxygen is present. As much as 38 ATP molecules' worth of energy is released as a result.

Why do aerobic processes generate more ATP?

Anaerobic respiration is less effective than aerobic respiration and takes much longer to create ATP. This is so because the chemical processes that produce ATP make excellent use of oxygen as an electron acceptor.

How much ATP is utilized during aerobic exercise?

As a result, only energy equal to two Molecules of ATP is released. When oxygen is present, organisms can convert glucose to carbon dioxide. The outcome is the release of energy equivalent to up of 38 ATP molecules. Therefore, compared to anaerobic respiration, aerobic respiration produces a large amount more energy.

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The value that will be printed after running the code is "1". The ArrayList "lst" is initialized as an empty list, then a single element with a value of 10 is added to it using the "add" method. The "size" method is then called on the list, which returns the number of elements in the list, which in this case is 1. So, the output of the "println" statement will be "1".

After running the given code, the value that will be printed is "1". The code creates an array list called "lst", adds the number 10 to it, and then prints the size of the array list, which is the number of elements in it.

Since there is only one element (10) in the array list, the size is 1. The "size" method is then called on the list, which returns the number of elements in the list, which in this case is 1. So, the output of the "println" statement will be "1".

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Answer: hi :)

Step-by-step explanation: <3

Answer:

3

Step-by-step explanation:

g(x)= -5x + 12

\(g^{-1}(x) = -\frac{x - 12}{5}\)

Substitute x for 3, solve

\(g^{-1} (-3) = 3\)

Answer:

i know this is really late but it's B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

trust meh

Answer:

A' = (-3,2)

Step-by-step explanation:

(Sorry my lines aren't straight just pretend they are)

The reason why this is the answer is because, this goes over the y-axis. Which means that the answer wouldn't be (-2, 2).

(I don't know where those two people got the answer)

Therefore, because of the picture the only answer for A' would be (-3, 2)

Answer:

522,761 baseballs

Step-by-step explanation:

Number of baseball bats produced over the last 2 years = 357, 945

Number of little league baseballs produced over the last 2 years = 490,867

Number of major league baseballs produced over the last 2 years = 389,839

Total number of baseballs produced over the period = 490,867 + 389,839

                                                                                         = 880,706

Number of baseballs manufactured more than bats = 880,706 - 357945

                                                                                      = 522,761

There are 522,761 baseballs produced more than bats during the 2 years.

One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

Therefore, one example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

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The correct question is given below:
A researcher is interested in the sleeping habits of students at the local state college. The average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a ____.

17 1/4 = p - 2 3/4

To solve for p add 2 3/4 to both sides

P = 17 1/4 + 2 3/4

P = 20

Answer:

u = vector (-6 , -6)

Step-by-step explanation:

u = vector(a , b)

Left (-) 6 units and down (-) 6 units

The translation vector for the image is (-6,-6).

A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another. Vectors are given in the form ( x y ) where x is the movement horizontally and y is the movement vertically.

For the given situation,

The image of a point (1, 2) under a translation is (-5, -4) .

The translation vector can be found by calculating the movement horizontally and vertically as

⇒ \((-5-1,-4-2)\)

⇒ \((-6,-6)\)

Hence we can conclude that the translation vector for the image is (-6,-6).

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The formula for the stopping distance in feet is

\(d=1.1v+0.055v^2\)

where \(v\) = Speed of the car in miles per hour.

The stopping distance for the car traveling at 15 mph is

\(d=1.1\times 15+0.055\times 15^2\\\Rightarrow d=28.875\approx 29\ \text{feet}\)

The stopping distance for the auto traveling at 15 mph is \(29\ \text{feet}\).

The stopping distance for the car traveling at 30 mph is

\(d=1.1\times 30+0.055\times 30^2\\\Rightarrow d=82.5\approx 83\ \text{feet}\)

The stopping distance for the auto traveling at 30 mph is \(83\ \text{feet}\).

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Answer: $46,619

»» 288.44 / 0.7%

»› 41,205

»» 45 x 120.33

»» 5,414

A=41,205

A=5,414

A=46,619

\(\color{yellow}{}\)

Answer:

The answer would be $46,619

Step-by-step explanation:

Someone already explained it pretty well, goodluck! :)

We can calculate the expected value of the longest segment to be approximately 0.583 meters.

To find the expected length of the longest segment when a rope is divided into three segments by two random points, we need to consider all possible ways of dividing the rope and calculate the probability of each scenario occurring.

In the first case, we can assume Point A divides the rope into a segment of length "a" and a segment of length "b+c", where "b" and "c" are the lengths of the other two segments. In this case, the length of the longest segment is "b+c" with a probability of 1/2.

In the second case, Point A divides the rope into segments of length "a+b" and "c". Here, the length of the longest segment is either "a+b" or "c", depending on whether Point B falls on the "a" segment or the "b" segment. The probability of Point B falling on either segment is 1/2, so the probability of the longest segment being "a+b" is 1/4, and the probability of the longest segment being "c" is also 1/4.

Therefore, the expected length of the longest segment can be calculated as follows: Expected length of longest segment = (1/2) x (b+c) + (1/4) x (a+b) + (1/4) x c

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Answer:

12.6m²

Step-by-step explanation:

radius=2

Area=π2²=12.6(1dp)

Step-by-step explanation:

in such problems with just equations we always need to have the main (optimization) equation or condition, and then usually some constraint equations.

the constant equations allow us typically to express one variable through another, until we have only one variable for the optimization equation. then we find the zeros of the first derivative of that functions and find the needed maximum or minimum if needed via the second derivative.

now if we have inequalities, it is even easier, I think.

we find the corners of the shaded area that must contain our minimum or maximum by finding the intersections of the delimiter lines. the optimum must be one of the corners.

and then we try the coordinates of the different corners in the optimization equation and see, which one delivers the highest or lowest value. and we are done.

a.

x + y <= 240

y >= 4x

b.

500x + 450y = profit

theoretically we have 3 corners to test

(0, 0)

(0, 240)

(48, 192)

(0, 0) is clearly the minimum, profit 0.

(0, 240) gives

450×240 = $108,000

(48, 192) gives

500×48 + 450×192 = 24000 + 86400 = $110,400

that is the maximum.

so, the farmer makes the most profit under the given constraints, if he plants 48 acres corn and 192 acres sprouts.

Answer:

hope you can understand

Answer:

The answer is 22.5 lbs or 22 and a half lbs of mashed potatoes.

Step-by-step explanation:

The ratio of potatoes is 1.5.

10 lbs potatoes * 1.5 = 15 lbs mashed

So 15 lbs potatoes * 1.5 is: 22.5 lbs mashed potatoes.

The absolute maximum value of `f(x) = x³ - 3x²` on the interval `[-1,2]` is `0` and it occurs at `x = 0`.

The function is given by

`f(x) = x³ - 3x²`.

The question requires us to find the absolute maximum value of the function on the interval

`[-1,2]`.

We can solve this problem using the following steps:

Step 1: Find the critical points of the function

`f(x) = x³ - 3x²`.

We can do this by finding the derivative of the function and setting it equal to zero.

`f(x) = x³ - 3x²`

`f'(x) = 3x² - 6x

= 3x(x - 2)`

Setting

`f'(x) = 0`,

we get `

x = 0`

and

`x = 2`.

Step 2: Check the endpoints of the interval `[-1,2]` for potential maximum values.

In this case, we need to evaluate

`f(-1)`

and

`f(2)`.

`f(-1) = (-1)³ - 3(-1)²

= -2`

`f(2) = 2³ - 3(2)²

= -8`

Step 3: Evaluate `f(x)` at each critical point to determine which one corresponds to the absolute maximum value of the function.

`f(0) = 0³ - 3(0)²

= 0``f(2)

= 2³ - 3(2)²

= -8`

Therefore, the absolute maximum value of `f(x) = x³ - 3x²` on the interval `[-1,2]` is `0` and it occurs at `x = 0`.

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Answer:

The correct answer is D. 3x² - x + 3

Step-by-step explanation:

4x² - x + 6 - (x² + 3)

= 4x² - x² - x + 6 - 3

= 3x² - x + 3

Answer:

20

Step-by-step explanation:

We are given that when x is -3.5 y is 10. So we just simply multiply y by 2 (10 x 2) which gives us 20.

Answer:

Step-by-step explanation:

I'll get you the answer. You pick it from what you are given.

The slope of the perpendicular is m1 * m2 = - 1

m1 = 3

m2 = -1 / m1

m2 = -1 / 3

So far what you have is

y = (-1/3) x + b

Use the point go get b

x = -1

y = - 3

y = (-1/3) *x + b

-3 = (-1/3)*-1 + b

-3 = 1/3 + b  

-3 - 1/3 = b

b = -3.33333  or

b = -3 1/3

b = -10/3              

So the answer is

y = (- 1/3) x - 10/3            or

y = (-1 / 3)x - 3.3333       or

y = (-1/3 )x  - (3 1/3)

Answer

Days

Step-by-step explanation:

Then number of blue shirts worn on the vertical

Answer: 77

Step-by-step explanation: If this is a triangle, you would use base times height divided by 2 to find the area. So if the base and the height are 11 and 14, you would do 11x14=154. Than 154/2 and you would get 77.

Answer:

D. 15 is correct.

I did the quiz.

5.30 % rate of return would you expect on a 5-year treasury security, assuming the pure expectations theory is valid.

To reflect the true cost and purchasing power of money that is borrowed or invested, an interest rate is called a real interest rate that has been adjusted for inflation. The nominal interest rate depicts the cost of money and reflects the state of the market. A good's nominal value is its price in terms of money. Its value in relation to another good, service, or collection of goods is what determines its true worth. Given that it is the current interest rate in the economy, it is frequently referred to as the market interest rate (usually charged by banks and other institutions). Depending on the bank or the type of loans or deposits, this nominal interest rate may be 8%, 10%, or 12%.

Nominal interest rate = Real interest rate + Inflation rate

= 2.5% + 2.8%

= 5.30%

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The value of trignometric function sin(2x) is 2√24/25, cos(2x) is -23/25 and tan(2x) is  -10/9

Using the given information, we can determine that sin(x) = -√24/5 and cos(x) = √1-24/25 = √1/25 = 1/5.

To find sin(2x), we can use the double angle formula: sin(2x) = 2sin(x)cos(x) = 2(-√24/5)(1/5) = -2√24/25.

To find cos(2x), we can use the double angle formula: cos(2x) = cos²(x) - sin²(x) = (1/25) - 24/25 = -23/25.

To find tan(2x), we can use the identity: tan(2x) = (2tan(x))/(1-tan²(x)) = (2(-1/5))/(1-1/25) = -10/9.

In summary, sin(2x) = -2√24/25, cos(2x) = -23/25, and tan(2x) = -10/9. These calculations were made using the double angle formula and the identity for tan(2x).

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Therefore , the solution of the given problem of trigonometry comes out to be -1 is the simplified formula.

Some claim that the fusion of various fields contributed to the development of astrophysics. With the aid of precise mathematical methods, many metric issues can be resolved or the output of a computation can be determined. The scientific investigation of all six fundamental geometric calculations is known as trigonometry. They are known by a number of names and abbreviations, such as sine, variance, angle, and others. (csc).

Here,

Let's first use trigonometric identities to separately simplify each term:

=> cos(x - 90°) equals sin(x)

=>  cos(x - 180°) = -cos(x)

=> tan(x) = cos(x) / sin(x)(x)

=>  x(cos(-)) = x(x)

=> (180° + x) sin = -sin(x)

When we replace the equation with these simplifications, we get:

=> cos(x) * sin(180° plus x) * cos(x) * (-cos(x)) + (sin(x) / cos(x))

=>  sin(180° plus x) * sin(-cos2(x))

=>  -cos²(x) - sin(x)*sin(180° + x) (using the equation sin(x)*sin(x)) = -sin^2(x))

Using the identity sin2(x) +cos2(x) = 1, we get = -1.

Consequently, -1 is the simplified formula.

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Answer:

Below

Step-by-step explanation:

To prove that the diagonals bisect each other we should prove that they have a common point.

From the graph we notice that this point is E.

ABCD is a paralellogram, so E is the midpoint of both diagonals.

●●●●●●●●●●●●●●●●●●●●●●●●

Let's start with AC.

● A(0,0)

● C(2a+2b,2c)

● E( (2a+2b+0)/2 , (2c+0)/2)

● E ( a+b, c)

●●●●●●●●●●●●●●●●●●●●●●●●

BD:

● B(2b,2c)

● D(2a,0)

● E ( (2a+2b)/2 , 2c/2)

● E ( a+b ,c)

●●●●●●●●●●●●●●●●●●●●●●●●●

So we conclude that the diagonals bisect each others in E.