a) Graph the function f(x) = x2 + 5x. - b) Draw the tangent lines to the graph at the points whose x-coordinates are -5, -3, and 0.

what help? how can i help you?

Answer: 12

Step-by-step explanation:

Given:

A = 452

r = √A/3

Step 1: Substitute 452sqf for A

r = √452/3

Step 2: Solve

452 ÷ 3 = 150.66∞

√150.66∞ = 12.27∞

12.27∞ rounded to the nearest integer equal 12

9514 1404 393

Answer:

  15

Step-by-step explanation:

Solving for x, we have ...

  \(3x+\dfrac{2}{x}-4=2(x+9)-\left(7-\dfrac{1}{x}\right)\\\\3x+\dfrac{2}{x}-4=2x+18-7+\dfrac{1}{x}\\\\\boxed{x+\dfrac{1}{x}=15} \qquad\text{subtract $2x+\dfrac{1}{x}-4$}\)

Answer:

y = 2x^2 + 12x + 14

Step-by-step explanation:

Write this equation in standard form.  Start by performing the exponentiation:

y = 2(x^2 + 6x + 9) - 4

Perform the indicated multiplication:

y = 2x^2 + 12x + 18 - 4, or

y = 2x^2 + 12x + 14:  This is the quadratic function in standard form.

The value of the quadratic function in standard form is,

⇒ f (x) = 2x² + 12x + 14

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

The function is,

⇒ f (x) = 2 (x + 3)² - 4

Now, We get;

The value of the quadratic function in standard form is,

⇒ f (x) = 2 (x + 3)² - 4

⇒ f (x) = 2 (x² + 9 + 6x) - 4

⇒ f (x) = 2x² + 18 + 12x - 4

⇒ f (x) = 2x² + 12x + 14

Thus, The value of the quadratic function in standard form is,

⇒ f (x) = 2x² + 12x + 14

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A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

The mean will be

N = 13

\(\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923\)

Then the standard deviation will be

\(\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5\)

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Answer:

-4/3

Step-by-step explanation:

mtan × mline = -1

mtan× 3/4 = -1

mtan =-4/3

Answer:

4680

Step-by-step explanation:

65% of 7200 is 4680

Answer:

4680

Step-by-step explanation:

65% of 7200 is 4680

The side of the square of each block = 2 feet

Given,

Shelly sews a square blanket that has an area of 144 square feet.

and,  it has 36 square blocks, each the same size.

To find the approximate length of each side of a block

Now, According to the question:

36 square blocks of same size. We need to find the area of each square block. so we divide = area / square blocks

= 144/ 36

= 4

The area of each square = 4 square feet

We know that

Area of square = side ^2

Side ^2 = 4

side = \(\sqrt{4}\)

Side = 2

Hence, The side of the square of each block = 2 feet

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The variable P0 represents the initial amount.

In the exponential growth model, P(t) represents the population at time t, P0 represents the initial population at time t=0, k represents the growth rate, and e is the mathematical constant, approximately equal to 2.71828. Therefore, P0 represents the initial amount or the starting point of the population.

The correct answer is B, the variable P0 represents the initial amount.

B. The variable P0 represents the initial amount.

In the exponential growth model P(t) = P0 * e^(kt), the variables are defined as follows:
- P(t): The population size at time 't'
- P0: The initial population size (i.e., the population size at the beginning, when t=0)
- e: The base of the natural logarithm (approximately 2.71828)
- k: The growth rate constant
- t: Time

In this model, P0 is the population size at the beginning of the observed period (when t=0). Therefore, it represents the initial amount.


The variable P0 in the exponential growth model P(t) = P0 * e^(kt) represents the initial amount of the population or quantity being studied.

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If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.

Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.

Given that machine take 3 minutes to fill 40 bottles

So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.

That is in 1 minute the machine fill approximately 14 bottles.

So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).

Thus the machine take approximately 18 minutes to fill 240 bottles.

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The Laplace transform of the given function is,

L{f(t)} = (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

Given function is f(t) = {8 12 1 Jo, 0 ≤ t < 3/2, 3/2 ≤ t < 2, 2 ≤ t < ∞ respectively.

We have to find Laplace transform of the given function.

For first interval 0 ≤ t < 3/2,

f(t) = 8u(t) - 8u(t-3/2)

For second interval 3/2 ≤ t < 2,

f(t) = 12u(t-3/2) - 12u(t-2)

For third interval 2 ≤ t < ∞,

f(t) = Jo(u(t-2))

Hence, we can write the Laplace transform of the given function as,

L{f(t)} = L{8u(t) - 8u(t-3/2)} + L{12u(t-3/2) - 12u(t-2)} + L{Jo(u(t-2))}

Where, L is Laplace transform.

Let's calculate each Laplace transform stepwise,

1. L{8u(t) - 8u(t-3/2)}L{8u(t)} = 8/L{u(t)}L{u(t)}

= 1/sL{u(t-3/2)}

= e^{-3s/2}/s

Therefore,

L{8u(t) - 8u(t-3/2)} = 8[1/s - e^{-3s/2}/s]

2. L{12u(t-3/2) - 12u(t-2)}L{12u(t-3/2)}

= 12e^{-3s/2}/sL{12u(t-2)}

= 12e^{-2s}/s

Therefore,

L{12u(t-3/2) - 12u(t-2)} = 12[e^{-3s/2}/s - e^{-2s}/s]

3. L{Jo(u(t-2))}L{Jo(u(t-2))} = ∫_{0}^{∞}δ(t-2)e^{-st}dtL{Jo(u(t-2))}

= e^{-2s}

Hence, the Laplace transform of the given function is,

L{f(t)} = 8[1/s - e^{-3s/2}/s] + 12[e^{-3s/2}/s - e^{-2s}/s] + e^{-2s}

= (8/s) - 4e^{-3s/2}/s - 6e^{-2s}/s

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Answer:

600 miles

Step-by-step explanation:

8*75=600

since he goes at 75 miles per hour and he drove 8 hours long, you multiply getting you 600 miles.

Answer:

8

Step-by-step explanation:

put the numbers in order smallest to largest

3 5 5 7 8 8 9 9 9 10

you need to find the middle number but because there is an even amount of numbers you need to find the two middle numbers and add them then divide by 2.

In this case it's the 8+8 =16

16/2=8

Answer:

oi bom fia lindinha a resposta em total 1k4

Answer:

 Rita's age = 3 years

Jane's age = 12 years

Step-by-step explanation:

Framing algebraic equations and solving:

          Let the age of Rita = x years

             Age of Jane = 4 times of Rita's age

                                   = 4*x

                                   = 4x

After 6 years,

   Jane's age = 4x + 6

     Rita's age = x + 6

Jane's age = twice of Rita's age

      4x + 6 = 2* (x + 6)

      4x + 6  = 2x + 12        {Distributive property}

Subtract 6 from both sides,

             4x = 2x + 12 - 6

            4x = 2x + 6

Subtract '2x' from both sides,

    4x - 2x = 6

            2x = 6

Divide both sides by 2,

              x = 6 ÷ 2

             x = 3

Rita's age = 3 years

Jane's age = 4 * 3

                  = 12 years

Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

Answer:

Wish I can help. But I really couldnt solve it. Sorry :(

Step-by-step explanation:

The period of the given trigonometric function is: 20.

The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.

Sine and cosine functions start repeating the same pattern of y-axis values after every 2(pi). The period is defined as just the distance on the x-axis before the pattern repeats.

Now, looking at the trigonometric graph, we see that the x-interval for which the graph repeats itself is 20

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Answer:3000

Step-by-step explanation:

The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Answer:

Step-by-step explanation:

(5x - 2)° = (4x + 5)°

5x - 2 = 4x + 5

x = 7

If two quantities have same units, they will be comprised of the same basic physical quantities and hence their dimensions will be same. Same dimensions do not represent the same physical quantity. For example, The kinetic energy and the potential energy are measured in the same units but they possess different physical quantities.

The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one because a point on it can be specified by a single coordinate, such as the point at 5 on a number line.

Two quantities with the same units will be made up of the same fundamental physical quantities, resulting in identical dimensions. The same physical quantity does not have the same dimensions. For instance, although having different physical properties, kinetic energy and potential energy are measured in the same units.

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Answer:

54.84 yd^2

Step-by-step explanation:

1/2BH

1/2(13)(8 7/16) = 54.84

Answer:

18.

Step-by-step explanation:

4yd is on the bottom.

9yd is on the left.

13yd is on the right.

The area for a triangle is \(\frac{1}{2} * b * h.\) We add the numbers into the formula.

\(\frac{1}{2} *4*9 = 18.\)

We do not use 13, because it is only going from one corner to the opposite corner. So, the answer is 18.

Hope this helped!

The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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For FCFS (First Come, First Served):The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65.

SSTF (Shortest Seek Time First):

The requests will be serviced in the following order: 39, 22, 65, 69, 94, 133, 135, 169

SCAN:

The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22

C-SCAN:

The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65

LOOK:

The requests will be serviced in the following order: 39, 65, 69, 94, 133, 135, 169, 22

C-LOOK:

The requests will be serviced in the following order: 94, 169, 39, 135, 22, 133, 69, 65

In FCFS and C-SCAN, the requests are serviced in the same order as they were received. In SSTF and LOOK, the requests are serviced in an order that minimizes the seek time of the disk head. In SCAN and C-LOOK, the requests are serviced in an order that moves the disk head in one direction (towards higher numbered cylinders in this case) until the end of the disk is reached, and then moves the disk head in the opposite direction to service the remaining requests.

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The  vector equation for the line segment from (3, -1, 6) to (5, 7, 5) is:

r(t) = (3, -1, 6) + t(2, 8, -1), 0 ≤ t ≤ 1

To find the vector equation for the line segment from (3, -1, 6) to (5, 7, 5), we first need to find the vector that points from the starting point to the ending point. We can do this by subtracting the coordinates of the starting point from the coordinates of the ending point:

(5, 7, 5) - (3, -1, 6) = (2, 8, -1)

This vector represents the direction and length of the line segment. We can parameterize this vector using the parameter t by multiplying it by t:

t(2, 8, -1)

To get the position vector for any point on the line segment, we need to add this parameterized vector to the starting point (3, -1, 6):

(3, -1, 6) + t(2, 8, -1)

So the vector equation for the line segment from (3, -1, 6) to (5, 7, 5) is:

r(t) = (3, -1, 6) + t(2, 8, -1), 0 ≤ t ≤ 1

Note that the parameter t ranges from 0 to 1 to ensure that we only get points on the line segment between the starting and ending points.

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Answer:

504

Step-by-step explanation:

40%=.40

360*.40=144

original number + increase = x

360+144=504