Please give me an explanation! I really need help!!!

To determine the local minimum and local maximum of the function A(x) = ∫₀ˣ f(t) dt on the interval (0, 6), we need to analyze the behavior of A(x) and its derivative.

Let's denote F(x) as the antiderivative of f(x), which means that F'(x) = f(x).

To find the local minimum and maximum, we need to look for points where the derivative of A(x) changes sign. In other words, we need to find the values of x where A'(x) = 0 or A'(x) is undefined.

Using the Fundamental Theorem of Calculus, we have:

A(x) = ∫₀ˣ f(t) dt = F(x) - F(0)

Taking the derivative of A(x) with respect to x, we get:

A'(x) = (F(x) - F(0))'

Since F(0) is a constant, its derivative is zero, and we are left with:

A'(x) = F'(x) = f(x)

Now, let's analyze the behavior of f(x) based on the given figure to determine the local minimum and maximum of A(x) on the interval (0, 6). Without the specific information about the shape of the graph, it is not possible to determine the exact values of x that correspond to local minimum or maximum points.

To find the local minimum, we need to locate a point where f(x) changes from decreasing to increasing. This point would correspond to x = x_min.

To find the local maximum, we need to locate a point where f(x) changes from increasing to decreasing. This point would correspond to x = x_max.

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Answer:

I dont know what dpoe and mpoe means but to get 14=3y I would assume you would divide 14 by 3 and 3y by 3 to get 14/3=y. and then you have to figure out what 14 divided by 3 is because I want to go to bed

The distance d between the train and the railroad marker can be expressed as:

d = 200 - 65h

where 200 represents the initial distance between the train and the marker, and 65h represents the distance the train has covered after h hours, assuming a constant speed of 65 miles per hour.

To find the time it will take for the distance between the train and the marker to be 4 miles apart, we can set d to 4 and solve for h:

4 = 200 - 65h

65h = 196

h = 196/65

So the equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart is:

200 - 65h = 4

or

65h = 196

or

h = 196/65

Answer:

16524534887

Step-by-step explanation:

Answer:

16524534887

Step-by-step explanation:

just multiply, takes a while but you can do it

or you can just use a calculator

If Leslie leaves $9,000 in a savings account for 3 years with an annual compound interest rate of 4 percent, the amount of money that will accumulate is approximately $10,174.88.

To calculate the future value of Leslie's investment, we can use the compound interest formula:

Future Value = Principal Amount * (1 + Interest Rate)^Time

Given that the principal amount is $9,000, the interest rate is 4 percent (or 0.04), and the time is 3 years, we can substitute these values into the formula:

Future Value = $9,000 * (1 + 0.04)^3

Future Value ≈ $9,000 * 1.124864

Future Value ≈ $10,174.88

Therefore, if Leslie leaves $9,000 in the savings account for 3 years at an annual compound interest rate of 4 percent, the amount that will accumulate is approximately $10,174.88.

This calculation demonstrates the relationship between interest rates, time, and future sums. As the interest rate increases, the future value of the investment also increases. Similarly, as the time period increases, the future value of the investment grows. This shows that higher interest rates and longer time periods have a compounding effect on the accumulation of funds. It emphasizes the importance of considering both the interest rate and the length of time when making financial decisions, as they significantly impact the growth of an investment.

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Answer:

In this question, the buying price will be lower if the quantity bought is higher. But the markup ratio for retail price is constant at 80% of buying price. If the price of the range is x, then the equation of retail price would be:

Retail price= x * (100%+80%)

Retail price= x * 180%=

Retail price= 1.8 x

The equation should be same because the markup ratio is same. Only the buying price that will be different based on the quantity of shoe purchased.

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer:m= 83 degrees

Step-by-step explanation: the sum of all three corners will always add up to 180 so adding 31 and 66 together is 97 an then 180-97 is 83.brainliest?

The smallest possible area of the circle with the points (-3,-2) and (1,4) is 13π.

Given, the endpoints of the circle are given:

(-3,-2) = (x₁,y₁)

(1,4) = (x₂,y₂)

The circle with the smallest possible area that passes through the points (-3, -2) and (1, 4) is a circle with a diameter whose endpoints are these two points.

we are asked to determine the area of the circle = ?

first calculate the distance between the points:

distance  = √(x₁-x₂)²+(y₁-y₂)²

d = √(-3-1)²+(-2-4)²

d = √(-4)² + (-6)²

d = √16+36

d = √52

d = 2√13

Thus, the radius has a length of r = √13,

and the area of the circle is A = π x (√13)²

= 13π.

Hence we get the area of the circle as 13π..

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The range of the function for this situation is the interval [398.25, 400] gallons.

To determine the range of the function f(x) = 400 - 0.35x for the given situation, we need to find the possible values of the amount of water remaining in the pool.

The function f(x) represents the amount of water remaining (in gallons) after x minutes, where x ranges from 0 to 5.

To find the range of the function, we evaluate f(x) for the extreme values of x in the given range (0 to 5).

For x = 0, the initial amount of water remaining:

f(0) = 400 - 0.35(0) = 400 gallons

For x = 5, the amount of water remaining after 5 minutes:

f(5) = 400 - 0.35(5) = 400 - 1.75 = 398.25 gallons

Therefore, the range of the function for this situation is the interval [398.25, 400] gallons.

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The triangle inequality is proved. It states that the absolute value of the sum of two real numbers is always greater than or equal to the sum of their absolute values. This inequality is important because it helps us to understand the relationship between the lengths of the sides of a triangle and the length of its hypotenuse.

The triangle inequality is a fundamental concept in mathematics, and it is used to prove many other theorems and inequalities. It states that if x and y are real numbers, then |x| + |y| ≥ |x + y| (where |x| represents the absolute value of x, which equals x if x ≥ 0 and equals −x if x < 0).

To prove the triangle inequality, we can use the following steps:

1. Start with the definition of absolute value: |x| = x if x ≥ 0 and |x| = −x if x < 0.

2. Use this definition to write |x + y| in terms of |x| and |y|: |x + y| = |x| + |y| if x + y ≥ 0 and |x + y| = −(x + y) if x + y < 0.

3. Use the fact that |x| ≥ 0 and |y| ≥ 0 to write |x + y| in terms of |x| and |y|: |x + y| = |x| + |y| if x + y ≥ 0 and |x + y| = |x| + |y| if x + y < 0.

4. Combine the two cases to get the triangle inequality: |x + y| = |x| + |y| if x + y ≥ 0 and |x + y| = |x| + |y| if x + y < 0, so |x + y| ≥ |x| + |y| in all cases.

Therefore, the triangle inequality is proved. It states that the absolute value of the sum of two real numbers is always greater than or equal to the sum of their absolute values. This inequality is important because it helps us to understand the relationship between the lengths of the sides of a triangle and the length of its hypotenuse.

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Answer:

Daniela finished first.

It will take 36 seconds for Jeremy to finish the drink and Daniela 30, so daniela will finish first.

12 times 1/3 = 36

20 times 1/3= 60, divided by 2, because its 2/3 not 1 third, equals 30

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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Answer:

The last statement represents an impulse purchase:

Tara goes to the pet store for fish food. She visits the pet adoption center and quickly decides to adopt a dog without considering all of the costs in caring for the dog.

The standard deviation of X is 1.70.

In statistics, the standard deviation (SD, also represented by the Greek letter sigma σ or the Latin letter s) is a measure that is used to quantify the amount of variation or dispersion of a set of data values.

The standard deviation of a binomial random variable X can be calculated using the formula: σ = √(np(1-p)), where n is the number of trials, and p is the probability of success.

Given that n = 12 and p = 0.4, we can plug these values into the formula to find the standard deviation of X:

σ = √(12 * 0.4 * (1 - 0.4))
σ = √(12 * 0.4 * 0.6)
σ = √ (2.88)
σ = 1.697

Rounding to two decimal places, the standard deviation of X is 1.70.
Therefore, the answer is 1.70.

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The sum of the x and y coordinates of D" is 6

From the question, we have the following parameters that can be used in our computation:

D = (-1, -3)

The transformation rule is given as

T(-2,0) R180° about the origin.

Mathematically, this can be represented as

(x, y) = (-x + 2, -y)

So, we have the following representation

D" = (1 + 2, 3)

Evaluate the like terms

D" = (3, 3)

When the coordinates are added, we have

Sum = 3 + 3

Evaluate

Sum = 6

Hence, the sum is 6

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Complete question

A"B"C"D" is the image of ABCD after the composition of transformations

T(-2,0) R180° about the origin.

What is the sum of the x and y coordinates of D" if the coordinate of point D is (-1, -3)?

Answer:

Option d: 6x +1

Step-by-step explanation:

$42 is the amount Zahra will save each year

How to find how much Zahra will save every year?

Given that:

Zahra does 1 load of wash per day

Hot wash & warm rinse = 71 cents per load

Warm wash & cold rinse = 25 cents per load

Right now three-fourths of all her laundry is done with the hotter water

Right now:

cost of hot wash in a year = 0.71 x 3/4 x 365 = $194.3625

cost of warm wash in a year = 0.25 x 1/4 x 365 = $22.8125

Total cost =  $194.3625 + $22.8125 = $217.175

After the cut:

cost of hot wash in a year = 0.71 x 1/2 x 365 = $129.575

cost of warm wash in a year = 0.25 x 1/2 x 365 = $45.625

Total cost =  $129.575 + $45.625 = $175.2

Savings = Total cost of right now - Total cost after the cut

Savings = $217.175 - $175.2 = $41.975 = $42

Note: we have 365 days in a year

Therefore, Zahra will save $42 every year. Option b. is the answer

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Answer:

5x^3+15x^2-35x

Step-by-step explanation:

Firstly, you want to combine the "x"s in the (5x*x^2) and the (5x*3x). Once you have that (you will get 5x^3 and 15x^2), you can move onto the last set of parenthesis. We can get 35x from here. Finally, the last step is to add the correct signs. Our final answer will then be 5x^3+15x^2-35x. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

-6

Step-by-step explanation:

3*2=6

so the opposite of 6 is -6

Also a negetive times a positive is always a negetive number

Answer:

6

Step-by-step explanation:

Answer:

6 is answer

Step-by-step explanation:

Answer:

3x-x+2=4

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

They all follow the same sequence such as -9 for ex 47-9 is 38

To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.

Given that u = v × w, let's calculate the cross product of w and u:

w × u = (u × v) × u

Since the cross product is not associative, we need to use the vector triple product identity:

w × u = u × (v × u) - (u · u) v

Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:

w × u = u × (v × u)

Next, let's calculate the cross product of v and u:

v × u = (u × v) × v

Using the vector triple product identity:

v × u = v × (u × v) + (v · v) u

Again, since u is orthogonal to v, the dot product (v · v) is zero:

v × u = v × (u × v)

Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.

In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.

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Answer:

x=34\(\sqrt{2}\)

y=34\(\sqrt{3}\)

Step-by-step explanation:

Answer: 23.8

Step-by-step explanation:

Since sine= opp/hyp we can use the given info to establish

sin39=15/x

x=23.8

Answer:

d) x≈23.8

Step-by-step explanation:

sin 39 = 15/x multiply by x each side

x sin 39 = 15 divide by sin39

x = 15/sin 39

x = 23.84

x≈23.8

Answer:

B

Step-by-step explanation:

This ones pretty simple, all you need to do is write the two varible equations for how many fruits they bought and how much it cost.

In the first one there are 3 apples and 4 oranges, x represents the price of the apples and y represents price of the number of oranges, so the equation would be written like this:

3x+4y=

Then after the equal sign you put how much the total price was in total, which is 4.25 in the first one so

3x+4y=4.25

On the second equation there are 5 apples and 2 oranges, again x will be the price of the apples, and y will be the price of the oranges. The total price of both apples and oranges is 4.75 for this one, so the equation would be written like this:

5x+2y=4.75

Both equations together would be

3x+4y+4.25

5x+2y=4.75

This is the anwser

This a question that has to do with a Rotation about the origin. It is to be noted that T: \(\mathbb{R}^{2}\) → \(\mathbb{R}^{2}\) As given in the question. See the explanation below.

First Case:

T (R1, R2) = (+r1, -r2)

Let Bl = {(1,0), (0,1)} Standard Bases

⇒ (T(1, 0) = (+1, 0)

T (0, 1) = (0, -1)

Then matrix is:

A1 = \(\begin{bmatrix} +1& 0\\0 & -1\end{bmatrix}\)  and A1 R1 = \(\begin{bmatrix} r1\\y2\end{bmatrix}\)

Second Case

T (1, 0) = (0, 1)

T (0, 1) = (1, 0)

The Matrix is:

A2 = \(\begin{bmatrix} 0& 1\\1 & 0\end{bmatrix}\)

Hence,

TA2 (TA1(r1))  = \(\begin{bmatrix} 0& 1\\1 & 0\end{bmatrix}\) \(\begin{bmatrix} r1\\r2\end{bmatrix}\)  = \(\begin{bmatrix} -r2\\r1\end{bmatrix}\)

Thus

(TA2 * TA1) (r) = \(\begin{bmatrix} 0& -1\\1 & 0\end{bmatrix}\) \(\begin{bmatrix} r1\\r2\end{bmatrix}\)

The standard Matrix is:

\(\mathbb{A} = \begin{bmatrix} 0& -1\\1 & 0\end{bmatrix}\)

In this case,

T (0, 0) = (0, 0)

⇒ Transformation is rotation about the origin.

Hence Rotation Matrix is given as:

Tθ = \(\begin{bmatrix} Cos \theta & - Sin \theta\\Sin \theta & Cos\theta\end{bmatrix}\) ⇒ θ  = π/2

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We find that P(Z < 0.64) = 0.7389. Therefore, P(X < 96) ≈ 0.7389, which is closest to answer (B) 0.6944.

We have n = 240 and p = 0.38, so we can use the normal approximation to the binomial distribution. We first find the mean and standard deviation of X:

mean = np = 240 × 0.38 = 91.2

standard deviation = sqrt(np(1-p)) = sqrt(240 × 0.38 × 0.62) ≈ 7.53

To find P(X > 83), we standardize 83 as follows:

z = (83 - mean) / standard deviation = (83 - 91.2) / 7.53 ≈ -1.09

Using a standard normal table, we find that P(Z > -1.09) = 0.8621. Therefore, P(X > 83) ≈ 1 - 0.8621 = 0.1379, which is closest to answer (A) 0.8468.

To find P(75 ≤ X ≤ 95), we standardize 75 and 95 as follows:

z1 = (75 - mean) / standard deviation = (75 - 91.2) / 7.53 ≈ -2.14

z2 = (95 - mean) / standard deviation = (95 - 91.2) / 7.53 ≈ 0.50

Using a standard normal table, we find that P(-2.14 ≤ Z ≤ 0.50) = 0.8244 - 0.0162 = 0.8082. Therefore, P(75 ≤ X ≤ 95) ≈ 0.8082, which is closest to answer (C) 0.8268.

To find P(X < 96), we standardize 96 as follows:

z = (96 - mean) / standard deviation = (96 - 91.2) / 7.53 ≈ 0.64

Using a standard normal table, we find that P(Z < 0.64) = 0.7389. Therefore, P(X < 96) ≈ 0.7389, which is closest to answer (B) 0.6944.

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Answer:

63

Step-by-step explanation:

hhehehehhehehehehh hope this helps