Perimeter (numerical)

no te puedo contestarte yo no hablo inglés

Split up the integral:

[tex]\displaystyle\int\frac{x+2019}{x^2+9}\,\mathrm dx = \int\frac{x}{x^2+9}\,\mathrm dx + \int\frac{2019}{x^2+9}\,\mathrm dx[/tex]

For the first integral, substitute y = x ² + 9 and dy = 2x dx. For the second integral, take x = 3 tan(z) and dx = 3 sec²(z) dz. Then you get

[tex]\displaystyle \int\frac x{x^2+9}\,\mathrm dx = \frac12\int{2x}{x^2+9}\,\mathrm dx \\\\ = \frac12\int\frac{\mathrm du}u \\\\ = \frac12\ln|u| + C \\\\ =\frac12\ln\left(x^2+9\right)[/tex]

and

[tex]\displaystyle \int\frac{2019}{x^2+9}\,\mathrm dx = 2019\int\frac{3\sec^2(z)}{(3\tan(z))^2+9}\,\mathrm dz \\\\ = 2019\int\frac{3\sec^2(z)}{9\tan^2(z)+9}\,\mathrm dz \\\\ = 673\int\frac{\sec^2(z)}{\tan^2(z)+1}\,\mathrm dz \\\\ = 673\int\frac{\sec^2(z)}{\sec^2(z)}\,\mathrm dz \\\\ = 673\int\mathrm dz \\\\ = 673z+C \\\\ = 673\arctan\left(\frac x3\right)+C[/tex]

Then

[tex]\displaystyle\int\frac{x+2019}{x^2+9}\,\mathrm dx = \boxed{\frac12\ln\left(x^2+9\right) + 673\arctan\left(\frac x3\right) + C}[/tex]

Answer:

The width is 36 feet

Step-by-step explanation:

If the width of the fence is x then its length is x+3.

The perimeter is 150 feet, so we have the equation:

2(x + x + 3) = 150

4x + 6 = 150

x = 144/4 = 36 feet

Answer: plz marl brainilist

3966

Step-by-step explanation:

(98 × 63 - 32 × 69

98 * 63) - (32 * 69)

Answer:

183.3 in^3

Step-by-step explanation:

Find the volume of the rectangular bottom

V = l*w*h

V = 5*5*6 =150 in^3

Find the volume of the triangular pyramid

V = 1/3 Bh where B is the area of the base and h is the height

V = 1/3 ( 5*5) * 4 = 100/3

Add the two volumes together

150 + 100/3

150 +33.3

183.3 in^3

Answer: (d)

Step-by-step explanation:

Given

There are six flavors of ice-cream that is chocolate, vanilla, strawberry, birthday cake, rocky road, and butter pecan

First ice-cream can be tasted in 6 different ways

Second can be in 5 ways

similarly, remaining in 4, 3, 2 and 1 ways

Total no of ways are  [tex]6\times5\times 4\times 3\times 2\times 1=720\ \text{ways}[/tex]

Option (d) is correct.

Answer:

hope this helps buddy, please mark the brainliest.

Step-by-step explanation:

Answer:

300 miles

Step-by-step explanation:

Let us consider the miles they travelled is 'm'

Mileage for Primo= 21 + (m × 0.20) = 21+0.2m

Mileage for Ultimo= 24+ ( m× 1.00) = 24 + m

Question says The mileage is equal when Ultimo's charge is 4× Primo

Thus,

4 × (21+0.2m) = 24+ m

84 + 0.8m = 24 + m

60 = 0.2m

m = 300

Answer:

2.5

Step-by-step explanation:

8x + 2 = 7 + 5x + 15

Combine like terms:

8x + 2 = 7 + 5x + 15

8x + 2 = 22

      -2     -2

-----------------

8x = 20

----    ----

8       8

x = 2.5

Hope this helped.

Answer:

(C) The value of r indicates that the number of sales decreases as the price increases.

ED2021.

The best statement, given the correlation coefficient of -0.63 is: value of r indicates that the number of sales decreases as the price increases.

A negative correlation coefficient has a negative sign, and implies a negative relationship between two variables.

This means that, as one variable decreases, the other variable increases.

Thus, a correlation coefficient of -0.63 shows a negative relationship between prices of smartphones and the number of sales.

Therefore, the best statement, given the correlation coefficient of -0.63 is: value of r indicates that the number of sales decreases as the price increases.

Learn more about correlation coefficient on:

https://brainly.com/question/4219149

Answer:

3*sqrt(2) and 3pi/4

Step-by-step explanation:

tan(theta)=y/x and r^2=y^+x^2.

tan(theta)=-3/3=-1, theta=3pi/4

r=sqrt(3^2+3^2)=3*sqrt(2)

Answer:

384

Step-by-step explanation:

Answer:

384 words

Step-by-step explanation:

Number of words typed in 1 minute = 48

So, number of words typed in 8 minutes

= Number of words typed in 1 minute × 8

= 48 × 8

= 384

So, Curtis types 384 words in 8 minutes.

Answer:

[tex]x=2\\y=3[/tex]

Step-by-step explanation:

Solve by substitution method

[tex]y=4x-5\\y=3x-3[/tex]

First, solve [tex]y=4x-5[/tex] for [tex]y[/tex]:

Substitute [tex]4x-5[/tex] for [tex]y[/tex] in [tex]y=3x-3[/tex]

[tex]y=3x-3[/tex]

[tex]4x-5=3x-3[/tex]

[tex]4x-3x=5-3[/tex]

[tex]x=2[/tex]

Now that we have the value of x

substitute [tex]2[/tex] for [tex]x[/tex] in [tex]y=4x-5[/tex]

[tex]y=4x-5[/tex]

[tex]y=4(2)-5[/tex]

[tex]y=8-5[/tex]

[tex]y=3[/tex]

∴ The value of [tex]x[/tex] is [tex]2[/tex] and the value of [tex]y[/tex] is [tex]3[/tex]

the slope-intercept form of the given equation is y = x/3 + 8.

The increase divided by the run, or the ratio of the rise to the run is known as the line's slope. The coordinate plane describes the slope of the line.

The slope-intercept form of a line is Y = m*X +C.

Given an equation 3x-9y = -72, which we will try to make in the slope-intercept form by using simplification.

3x-9y = -72

9y = 3x + 72

y = 1/3 * x + 8

Therefore y = x/3 + 8 is the slope-intercept form of the given equation.  where its slope is 1/3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

assuming youre asking for line of symmetry, it's a line that cuts a shape exactly in half.  

for example, a square has 4 lines of symmetry

9514 1404 393

Answer:

  (b) 7x + 2y = 1

Step-by-step explanation:

You don't need to know how to find the equation. You just need to know how to determine if a point satisfies the equation. Try one of the points and see which equation fits. (The numbers are smaller for point K, so we prefer to use that one.)

  7(1) +2(-3) = 1 ≠ -1 . . . . . tells you choice A doesn't work, and choice B does

The equation is ...

  7x +2y = 1

__

Additional comment

The equations of choices C and D have coefficients with a common factor of 2. If the constant also had a factor of 2, we could say these equations are not in standard form, and we could reject them right away. Since the two points have integer values for x and y, we can reject these equations anyway: the sum of even numbers cannot be odd.

Answer:

b

Step-by-step explanation:

Answer:

1/ab en (c/be^-x+c)

Step-by-step explanation:

Sure is a harsh question! Here's my Explanation

b+ce^x = t

ce^x an = dt

e^xan = dt/c

an = dt/ce^x = dt/c(t-b/c) = at/(t-b)

en = t-b/c

A/b+ce^x dx = a/t dt/t-b

a ∫1/t (t-b) dt = 1/a∫ (1/(t-b) - 1/t) dt

= 1/ab [∫1/(t-b) dt + ∫-1/t dt]

= 1/ab [en (t-b) - en(t)]

= 1/ab en ((t-b)/t)

t = b + ce^x

= 1/ab en (b+ce^x -b/b+ce^x)

=1/ab en (ce^x/b+ce^x)

= 1/ab en (c/be^-x+c)

9514 1404 393

Answer:

  $40,750

Step-by-step explanation:

Leaving out the extra words, the question is asking you to find 25% of $163,000.

  0.25 × $163,000 = $40,750

The assessed value is $40,750.

Given that,

→ Rate for assessed value = 25%

→ Market value = $ 163,000

We have to find,

→ 25% of $ 163,000

Then value of 25% is,

→ 25 ÷ 100

→ 0.25

Let's find the assessed value,

→ 25% × $ 163,000

→ 0.25 × 163,000

→ 40750

Thus, $ 40750 is assessed value.

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(

12

,

67.45

)

Equation Form:

x

=

12

,

y

=

67.45

Answer:

8 1/8 units^3

Step-by-step explanation:

This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:

lwh

But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:

bh

Which means area of base times the height.

USE THE FORMULA bh:

16 1/4 x 1/2

= 65/4 x 1/2

= 65/8

SIMPLIFIED: 8 1/8

Volume is measured in cubic units

SO YOUR ANSWER IS 8 1/8 units^3

Answer:

240 ft²

Step-by-step explanation:

Surface area of a rectangular prism is,

2(lw+wh+hl)

= 2(7×6+6×6+6×7)

= 240 ft²

Answer:

The third choice is the correct one.

Step-by-step explanation:

The absolute value of six means that it's the distance from 0 to six, and that distance will be positive regardless of the number being negative or not.

Answer: The third answer is correct

Step-by-step explanation:

Since |6| is the absolute value of positive six, the value of an absolute value of any number is always positive.

Answer:

Step-by-step explanation:

f(x) + g(x) = 3x + 5 + 4x^2 - 2

f(x) + g(x) = 4x^2 + 3x + 3

f(x) + g(x) - h(x) = 4x^2 + 3x + 3 - (x^2 - 3x + 1)  Remove the brackets.

f(x) + g(x) - h(x) = 3x^2 +3x + 3 - x^2 + 3x - 1     Collect like terms

f(x)+g(x) - h(x) = 2x^2 + 6x + 2

Answer:

f(x)=3x^2+6x+2

Step-by-step explanation:

Step-by-step explanation:

At first you need to take its lateral surface area by using the perimeter of base of the triangle and the height of prism.

Then after calculating it you need to find out its total surface area which is asked in the question and that is calculated by adding the area of both triangles of the prism in the lateral surface area.

Then that's your answer.

9514 1404 393

Answer:

  544 square units

Step-by-step explanation:

The surface area is the sum of the area of the two triangular bases and the three rectangular faces. The relevant area formulas are ...

  A = 1/2bh . . . . area of a triangle with base b and height h

  A = LW . . . . . are of a rectangle of length L and width W

__

  SA = 2(1/2)(12)(8) + (10 +10 +12)(14)

  SA = 96 +448 = 544 . . . square units

Answer:

4.5%

Step-by-step explanation:

The tax rate=(2152.6/47800)*100=4.5%

Answer:

(3,-2)

Step-by-step explanation:

-5/3x + 3 = 1/3x - 3

-5/3x = 1/3x - 6

-2x = -6

x = 3

y = -5/3(3) + 3

y = -5 + 3

y = -2

Answer:

5, - 1, - 3, - 5, - 11

Step-by-step explanation:

The equation of the line is y=-4x-11. The y values corresponding to x are 5, - 1, - 3, - 5, - 11