Find the lateral area of the cylinder

Answer:

A. y = 6x - 1

Step-by-step explanation:

Given the following data;

when x = -5

Using the algebraic expression;

y = 6x - 1

y = 6*(-5) - 1

y = -30 - 1

y = -31

when x = -2

y = 6x - 1

y = 6*(-2) - 1

y = -12 - 1

y = -13

when x = 0

y = 6x - 1

y = 6*(0) - 1

y = 0 - 1

y = -1

when x = 3

y = 6x - 1

y = 6*(3) - 1

y = 18 - 1

y = 17

when x = 8

y = 6x - 1

y = 6*(8) - 1

y = 48 - 1

y = 47

Answer:

X = 1

Step-by-step explanation:

X is none number but equals to 1

Answer:

X=11

Step-by-step explanation:

Similar triangles....

6/48 = 5/3x+7

6(3x+7) =240

3x+7=40

3x=33

x=11

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Step-by-step explanation:

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

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Answer:

800

Step-by-step explanation:

Answer:

Following are the answer to the given question:

Step-by-step explanation:

Following are the null and alternative Hypothesis:

[tex]Null \ Hypothesis: \mu = 4\\\\Alternative \ Hypothesis: \mu < 4[/tex]

Rejection Zone

This is left tailed test, for α = 0.2 and df = 39

[tex]critical\ value(t) = -0.851\\\\reject\ H_0 \ when = t < -0.851[/tex]

Testing statistic:

[tex]t = \frac{(\bar{x} - \mu)}{( \frac{s}{\sqrt{n}})}[/tex]

  [tex]= \frac{1.5 - 4}{\frac{5}{\sqrt{40}}}\\\\= \frac{-2.5}{\frac{5}{6.32}}\\\\= \frac{-2.5}{0.79}\\\\ = -3.162[/tex]

[tex]P-value = 0.0015[/tex]

P-value < 0.2, reject the null hypothesis.

Approach to the Rejection Zone:

The null hypothesis is rejected since the test statistic t is outside of the critical range value. Only at the 0.200 significance mark, there's significant evidence that its new shrub's growth rate is less than 4 cm per week.

Answer:

12

Step-by-step explanation:

12/2=6

Tell me if it works

Answer: z=12

Step-by-step explanation: Hope this help :D

Answer:

l=P over 2﹣w

Step-by-step explanation:

Answer:

a. 10

b.60

c. 560

Step-by-step explanation:

a. 1 times 10

b. 10 times 6

c. 10 times 56

9514 1404 393

Answer:

  a.  AC ≅ BD

Step-by-step explanation:

All four sides are marked as being the same length. This means the figure is a parallelogram and a rhombus.

Diagonals bisect each other in any parallelogram. They are perpendicular, and bisect the corner angles, in any rhombus. Choices b, c, and d add no new information.

In order to show the figure is a square, you must show this rhombus is a rectangle: the diagonals must be the same length. That is you must show ...

  AC ≅ BD

_____

Additional comment

You may be given problems with coordinates, and asked to show the figure is a parallelogram, rectangle, rhombus, or square. Often, the problem is given with the intent that you use slope and length formulas on the given points to prove opposite sides are parallel and the same length. IMO, these problems are much simpler if you show the appropriate relation exists between the midpoints, slopes, and lengths of the diagonals.

Answer:

a = √5

b ∈ (−∞,∞)

Step-by-step explanation:

(7 + 3√5)/(3 + √5) - (7 - 3√5)/(3 - √5) = a + b√5

⇔ (7 + 3√5)(3 - √5)/(3 + √5)(3 -√5) - (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5

⇔ (7 + 3√5)(3 - √5) -  (7 - 3√5)(3 + √5)/(3 + √5)(3 -√5) = a + b√5

⇔ 4√5/4 = a + b√5

⇔ √5 = a + b√5

⇔ b = (5 - a√5)/5

Replace b with (5 - a√5)/5

⇒ a +  (5 - a√5)/5 = √5

⇔ a × 5 + (5 - a√5)(5)/5 = √5 × 5

⇔ a × 5 + 5 - a√5 = 5√5

⇔ a × 5 - √5 × a = 5√5 - 5

⇔ a(5 - √5) = 5√5 - 5

⇔ a = √5

Answer:

1) Area:

So to find area follow the formula

a=πr^2

a=area

π= pi or 3.14 in this situation

r= radius

So we have only the diameter.

To in Find the radius you can divide the diameter by 2 and get the radius which is

84/2=42

3.14*42^2=

Area: 5538.96 ft^2

2) Circumference:

To find the circumfeence you just multiply the diameter by π or in this case 3.14.

c=πd

c= circumference  

d= diameters

3.14*84=

Circumfrence: 263.76 ft

Answer:

A width: 3 unit cubes

height 3 unit cubes

Step-by-step explanation:

Volume of rectangular prism = 81 unit cubes

[tex]l[/tex] = Length of rectangular prism = 9 unit cubes

[tex]w[/tex] = Width of rectangular prism

[tex]h[/tex] = Height of rectangular prism

Volume of a rectangular prism is given by

[tex]V=lwh\\\Rightarrow 81=9wh\\\Rightarrow wh=\dfrac{81}{9}\\\Rightarrow wh=9[/tex]

The product of width and height must be 9 so from the options this is only possible when width and height both are 3 units.

So, the width is 3 unit cubes and the height is 3 unit cubes.

Answer:

Step-by-step explanation:

      Population of the state will reach 40,000,000 in 21 years from year 2005.

      Option (3) will be the correct option.

          F = I(1 + r)ⁿ

          Here, F = Final population

                    I = Initial population

                    r = Growth rate

                    n = Number of years for population growth

Given in the question,

To find the number of years for population growth, substitute the values,

F = I(1 + r)ⁿ

40000000 = 31006000(1 + 0.012)ⁿ

40000 = 31006(1.012)ⁿ

[tex](1.012)^n=\frac{40000}{31006}[/tex]

[tex]\text{log}(1.012)^n=\text{log}(1.29)[/tex]

nlog(1.012) = log(1.29)

0.00518n = 0.11059

n = [tex]\frac{0.11059}{0.00518}[/tex]

n = 21.34

n ≈ 21 years

     Therefore, population of the state will reach 40,000,000 in 21 years from 2005. Option (3) will be the answer.

Learn more about the exponential degrowth here,

https://brainly.com/question/25704728?referrer=searchResults

Answer:

C, he interviewed the most people.

Brainliest please!

Answer:

C. Zach's

Step-by-step explanation:

Answer:

bitly coin download is my answrbecouse

Step-by-step explanation:

Answer:

Hello! answer: 68

Step-by-step explanation:

x = 19 19 × 4 = 76 76 + 36 = 112

19 × 6 = 114 114 - 2 = 112

112 + 112 = 224 360 - 224 = 136 136 ÷ 2 = 68 therefore the answer is 68

What are two lines joining at one point?

The definition of intersecting lines can be called two lines that cross each other a only one point. This point is called the point of intersection.

Answer:

Step-by-step explanation:

What the hell is that

Answer:

36 is equal to x² if x=6 however im not sure what that other symol is maybe an accident?

Step-by-step explanation:

Answer:

408in.^2

Step-by-step explanation:

the formula is 2(wl×hl×hw)

Answer:

1508

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Part A.

9a^2 - 24a + 16

= (3a - 4)(3a - 4).

Length of each side = 3a - 4 units.

Part B.

25a^2 − 36b^2

= (5a - 6b)(5a + 6b).

The dimensions are 5a-6b and 5a+6b.

The length of each side would be 3a - 4 units. The dimensions are 5a - 6b and 5a + 6b.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Part A.

The area of a square is [tex]9a^2 - 24a + 16[/tex] square units.

To determine the length of each side of the square by factoring the area expression completely.

[tex]9a^2 - 24a + 16\\\\= (3a - 4)(3a - 4).[/tex]

The Length of each side = 3a - 4 units.

Part B.

The area of a rectangle is [tex]25a^2 - 36b^2[/tex]square units.

To determine the dimensions of the rectangle by factoring the area expression completely.

[tex]25a^2 - 36b^2\\= (5a - 6b)(5a + 6b).[/tex]

The dimensions are 5a - 6b and 5a + 6b.

Learn more about the area;

https://brainly.com/question/1658516

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Answer:

Yes, the conditions for inference are met

Step-by-step explanation:

Conditions for inference:

To build a confidence interval for a population proportion, the sample must have at least 10 successes and 10 failures.

In this question:

50 cars, 11 have damage and 50 - 11 = 39 do not.

Since both the number of sucesses and of failures is above 10, conditions for inference are met.

Answer:

33 bookshelves

Step-by-step explanation:

I think this question is asking how many shelves he needs, but I am unsure because the question is incomplete.

If there are 1,188 books, and each shelf can hold 36 books, we need to divide.

[tex]number of books[/tex]÷[tex]bookspershelf[/tex]

[tex]1188[/tex]÷[tex]36[/tex]=[tex]33[/tex]

We need 33 bookshelves

Hope this helps :-)

Answer:

Step-by-step explanation:

The formula you need for this is

[tex]A(t)=P(1+\frac{r}{n})^{nt[/tex] where

A(t) is the amount after a certain number of years has gone by,

P is the initial deposit,

r is the interest rate in decimal form,

n is the number of compoundings done per year, and

t is the amount of time in years.

For us,

A(t) = 11900

P is 250

r is .048

n is 12 (there are 12 months in a year)

t is our unknown. Filling in:

[tex]11900=250(1+\frac{.048}{12})^{(12)(t)[/tex] which simplifies a bit to

[tex]11900=250(1_.004)^{(12t)[/tex] . Now we'll divide both sides by 250:

[tex]47.6=(1.004)^{12t[/tex] and then take the natural log of both sides to bring that t down out front:

[tex]ln(47.6)=ln(1.004)^{12t[/tex] and then

ln(47.6) = 12t ln(1.004). Now divide both sides by ln(1.004) to isolate the 12t:

967.6383216 = 12t and divide both sides by `12 to get

t = 80.6 months which is 6.7 years

Answer:

5/(2√6)

Step-by-step explanation:

Answer:

1.Order the data from least to greatest.

2.Find the median.

3.Calculate the median of both the lower and upper half of the data.

4.The IQR is the difference between the upper and lower medians.

Step-by-step explanation:

a=shorter leg

b=longer leg

c=hypotenuse

a=b-14

c^2=a^2+b^2

26^2=(b-14)^2+b^2

676=b^2-2*b*14+14^2+b^2

676=2b^2-28b+196

676-196=2(b^2-14b)

480=2(b^2-14b) Divide with 2

240=b^2-14b

b^2-14b=240

b^2-14b+7^2=240+7^2

Becouse: (b-7)^2=b^2-14b+7^2

(b-7)^2=240+49

(b-7)^2=289

b-7=sqroot(289)

You have two solutions:

b-7=17 and

b-7=-17

Becouse sqroot(289)=+/- 17

First solution: b-7=17

b=17+7=24

Second solution:

b-7=-17

b=17+7=-10

leg of triangle can not be negative number so:

b=24

a=b-14=24-14=10

a=10 b=24

c=sqroot(a^2+b^2)

c=sqroot(10^2+24^2)

c=sqroot(100+576)

c=sqroot(676)

c=26

Answer:

Un vehículo tardará 15 minutos y 36 segundos en recorrer 26 km con una velocidad constante de 100km/h.

Step-by-step explanation:

Para determinar cuánto tarda un vehículo en recorrer 26 km con una velocidad constante de 100km/h se deben realizar los siguientes cálculos:

(26/100) x 60 = X

0.26 x 60 = X

15.6 = X

1 = 60

0.6 = X

0.6 x 60 = X

36 = X

Por lo tanto, un vehículo tardará 15 minutos y 36 segundos en recorrer 26 km con una velocidad constante de 100km/h.