A curve has the equation y=x^3+8x^2+5

Answer:

100

Step-by-step explanation:

Answer:

50, 130

Step-by-step explanation:

Since they are a linear pair they add to 180

z + ( 2.4z+10) = 180

Combine like terms

3.4z + 10 = 180

Subtract 10 from each side

3.4z+10-10 = 180-10

3.4z = 170

Divide each side by 3.4

3.4z/3.4 = 170/3.4

z = 50

2.4z + 10 = 130

In the given question, using the form of the definition of the integral we have to evaluate the given integral.

The given integral is:

\(\int^{5}_{2}(4-2x)dx\)

A theorem that connects the ideas of differentiating a function and integrating a function is known as the fundamental theorem of calculus. With the exception of a constant value that relies on where one starts to compute area, the two procedures are inverses of one another.

We can write it as

\(\int^{5}_{2}(4-2x)dx=4\int^{5}_{2}dx-2\int^{5}_{2}xdx\)

Using the integral formula: \(\int{x^{n}dx} = \frac{x^{n+1}}{n+1}\)

\(\int^{5}_{2}(4-2x)dx=4[x]^{5}_{2}-2[x^2/2]^{5}_{2}\)

Now solving;

\(\int^{5}_{2}(4-2x)dx\) = 4[5-2]-2[{(5)^2-(2)^2/2]

\(\int^{5}_{2}(4-2x)dx\) = 4*3-2[(25-4)/2]

\(\int^{5}_{2}(4-2x)dx\) = 12-2[21/2]

\(\int^{5}_{2}(4-2x)dx\) = 12 - 21

\(\int^{5}_{2}(4-2x)dx\) = -9

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The right question is:

Use the form of the definition of the integral given in theorem 4 to evaluate the integral.

\(\int^{5}_{2}(4-2x)dx\)

9514 1404 393

Answer:

  D.  MN ⊥ LP

Step-by-step explanation:

Using HL for the proof requires that the triangles be right triangles. In order to ensure that is the case, you must have MN⊥LP.

Probability that exactly 10 flights arrive on time is 53.33%.

Given that,

The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation.

Recently, Southwest Air had the best rate with 80% of its flights arriving on time.

Total number flights in sample = 15

Probability that exactly 10 flights arrive on time is,

P = 10/15 × 80%

  = 0.5333

  = 53.33%

Hence the required probability is 53.33%.

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Hello !

you made a typo with the c^-2 because otherwise it does not make a round result

\(a^{2} *b^{2} *c^{2} \\\\= 1^{2} *2^{2}* (-3)^{2} \\\\= 1*4*9\\\\\boxed{= 36}\)

When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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Answer:100,000

Step-by-step explanation:

Answer:

You need to add a picture

Step-by-step explanation:

But to find the vectr you basically need to count the squares from each of the shapes going up or down

For example:

- squares going down would be -x

- squares going up would be x

- squares going left would be -x

- squares goinf right would be x

Then you put it in the form of a fraction

Answer:

B. An athlete does 10 push-ups for every mile she runs.

Step-by-step explanation:

10/1  ->  20/2  ->  30/3

Answer:

Step-by-step explanation:

re arange the order

-10+14=x+36

then subtract 14 from both sides of the equation

−-10x+14-14=x+36-14

then simplify it

-10x=x+22

subtract x from both sides of the equation

-10x-x=x+22-x

simplify

-11x=22

subtract the 11 from both sides and simplify

x=-2

there you go

The equation: 1/2 + 1/6 = 2/3

Is true.

Here we have the equation:

1/2 + 1/6 = 2/3

First, we need to find a common denominator for the two fractions, if we multiply and divide the first one by 3 we get:

(3/3)*(1/2) = 3/6

Replacing that in the equation:

3/6 + 1/6 = 2/3

4/6 = 2/3

Now we can simplify the fraction in the left by dividing both numerator and denominator by 2:

4/6 = 2/3

2/3 = 2/3

Thus, the equation is true.

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Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

Answer:

See attached file.

Step-by-step explanation:

Firstly, plot the point (6,2).

Remember (x,y)

Next plot the slope point.

Remember rise/run or rise over run.

You would go up 1 unit from the point and to the right 3.

Answer:

\(135^\circ\)

Step-by-step explanation:

Given that, a regular octagon is to be constructed.

To find:

Each angle in the octagon = ?

Solution:

We know that a regular triangle (polygon with 3 sides) has an interior angle of \(60^\circ\).

And a regular quadrilateral (square) has an interior angle of \(90^\circ\).

Therefore, formula for interior angle of a regular polygon with \(n\) number of sides can be given as:

\(\dfrac{n-2}{n}\times 180^\circ\)

For an octagon, we have \(n=8\).

Value of Interior angle in a regular octagon:

\(\dfrac{8-2}{8}\times 180^\circ=\dfrac{6}{8}\times 180^\circ=\bold{135^\circ}\)

Kindly refer to the attached image for the angle of \(135^\circ\)

Answer:

Option A is the right answer mate...

Answer:

18.75

Step-by-step explanation:

Just add 2.5 and 16.25 :)

Answer:

Lily must live 18.75 miles away

Step-by-step explanation:

If Lily lives 2.5 miles further from school than Dante then the equation is

16.25+2.5 = x

Add them together and you get 18.75

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l                V=pir^2*h

V=12*8*14 .           V=pi*4^2*8

V=1344 .               V=402.1

V1+V2=1344+402.1=1746.1

V=pi*r^2*h             V=2/3*pi*r^3

V=pi*6^2*13           V=2/3*pi*6^3

V=pi*36*13             V=2/3*pi*216

V=1470.3                V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h           V=1/3pi*r^2*h

V=1/3pi*2^2*6          V=1/3pi*2^2*7

V=8pi                       V=28/3pi

V=25.1 .                    V=29.3

V1+V2=25.1+29.3=54.4

The answer

4.16666667 yards

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

-2 3/4

Step-by-step explanation:

the sign is negative

Answer:

\(\displaystyle A=\frac{20}{3}\)

Step-by-step explanation:

\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)

Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.

Answer:

Step-by-step explanation:

No matter what, whatever number times the amount will look like this.

Carries x the number times = the other pitchers.

For example if sanjis is two times carries then it will be 0.73 times 2. Do the same thing with both and then add the two answers together.

If you provide "how many times" then I can help a little more!

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

The area of the complex figure is 132 square units

From the information given, we have that the composite shape is a combination of a:

The formula for area of a square is given as:

Area = a ²

Where 'a' is the length of it side

Area = 6²

Area of square = 36 square units

The formula for area of a rectangle is given as:

Area = width × length

Area = 8 × 12

Area of rectangle = 96 square units

Area of the complex figure = Area of square + area of rectangle

= 36 + 96

= 132 square units

Thus, the area of the complex figure is 132 square units

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Answer:

0.01167 m/s^2

Step-by-step explanation:

Acceleration is chage in velocity with respect to time. Another way to think of acceleration is in the units: m/s^2, or as I like to say, (m/s) /s.

The strategy to solve this kind of problem is to find the change in velocity (which will be in units of m/s)... and then divide that by the time passed.

In this case:

Change in Velocity = (13 m/s) - (6 m/s) = 6 m/s

Time passed = 10 min

Converting units of time: 10 min * (60 s / 1 m) = 600 sec

Acceleration = Change in Velocity / Time Passed

Acceleration = (6 m/s) / (600 s)

Acceleration = 0.01167 m/s^2