Find the surface area of the composite solid.

A.

680 in.2

B.

800 in.2

C.

920 in.2

D.

1,040 in.2

For this case we have the following equation:

[tex]9 (w + 7) = 27[/tex]

To solve we follow the steps below:

We apply Distributive Property to the terms of parentheses:

[tex]9w + 63 = 27[/tex]

We apply Subtraction Property of equality by subtracting 63 from both sides of the equation:

[tex]9w + 63-63 = 27-63\\9w = -36[/tex]

We apply Division Property of equality by dividing by 9 on both sides of the equation:

[tex]\frac {9w} {9} = \frac {-36} {9}[/tex]

simplifiying

w = -4

Answer:

[tex]w = -4[/tex]

Answer:

Option B. [tex]865.8\pi\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of the cone is equal to

[tex]SA=\pi r^{2} +\pi rl[/tex]

we have

[tex]r=13\ cm[/tex]

[tex]h=52\ cm[/tex]

Find the slant height l

Applying Pythagoras \theorem

[tex]l^{2}=r^{2} +h^{2}[/tex]

substitute the values

[tex]l^{2}=13^{2} +52^{2}[/tex]

[tex]l^{2}=2,873[/tex]

[tex]l=53.6\ cm[/tex]

Find the surface area

[tex]SA=\pi(13)^{2} +\pi(13)(53.6)=865.8\pi\ cm^{2}[/tex]

Answer:

B

Step-by-step explanation:

51 /22= 2.3

19/8=2.3

The correct option is D) Yes, the probability of not liking country is different from the probability of not liking country given that they listen to the station.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.

Given that, a local radio station surveyed people going into a grocery store about whether or not they liked country and if they listed to that station,

We need to determine that if listening to the radio station independent of liking country music,

So, here the answer will be yes, because both the events are not connected to each other.

The probability of not liking or liking the country music is nowhere related to whether a person is listening to the radio station or not.

Hence, the correct answer is D

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ANSWER

[tex] 96 \sqrt{3} {cm}^{2} [/tex]

EXPLANATION

The area of a regular polygon is

[tex]Area= \frac{1}{2} ap[/tex]

where 'a' is the apothem of the polygon and 'p' is the perimeter of the polygon.

From the diagram,

[tex] \sin(60) = \frac{a}{8} [/tex]

a=8sin(60)

[tex]a = 4 \sqrt{3} [/tex]

[tex] \cos(60) = \frac{l}{8} [/tex]

[tex]l = 8 \cos(60) [/tex]

[tex]l = 4[/tex]

The length of one side of the hexagon is 2×4=8.

The perimeter of the hexagon is

p=6×8=48

The area of the hexagon is

[tex] = \frac{1}{2} \times 4 \sqrt{3} \times 48[/tex]

[tex] = 96 \sqrt{3} {cm}^{2} [/tex]

Answer: To find the third side of a triangle (there are two answers you could get), you need to use the Pythagorean formula: a^2+b^2=c^2.  First answer, 3^2+5^2=c^2.  Solve for c.  c=5.83.  The second answer, 3^2+b^2=5^2.  Solve for b.  b=4.

\

Answer:

Vertex: (0, 0); Focus: (0, -4); Directrix: y = 4; Focal width: 16 ⇒ answer (a)

Step-by-step explanation:

* Lets revise some facts about the parabola

- Standard form equation for a parabola of vertex at (0 , 0)

- If the equation is in the form  x² =  4py, then  

- The axis of symmetry is the y-axis,  x = 0  

- 4p  equal to the coefficient of y in the given equation to

  solve for  p

- If  p  >  0, the parabola opens up.

- If  p <  0, the parabola opens down.

- Use  p  to find the coordinates of the focus,  (0  ,  p)

- Use  p  to find equation of the directri ,   y= − p

- Use  p  to find the endpoints of the focal diameter,  (±2p  ,  p)

* Now lets solve the problem

- The vertex of the parabola is (0 , 0)

∵ -1/16x² = y ⇒ multiply each side by -16

∴ x² = -16y

∴ 4p = -16 ⇒ ÷ 4 tbe both sides

∴ p = -4

∵ The focus is (0 , p)

∴ The focus is (0 , -4)

∵ The directrix is y = -p

∴ The directrix is y = -(-4) = 4 ⇒ y = 4

∵ The endpoints of the focal diameter,  (±2p  ,  p)

∴ The focal width = 2p - (-2p) = 4p

∴ The focal width = 4 ×  I-4I = 16

* Vertex: (0, 0); Focus: (0, -4); Directrix: y = 4; Focal width: 16

Answer:

A

Step-by-step explanation:

i just took the edg quiz

Answer:

255,879

Geometric Sequence Formula

[tex]a_n = a1r^{(n-1)}\\\\a_1 :13\\\\r:3\\\\n:10\\[/tex]

Steps:

[tex]a_1_0=13 (3)^{(10-1)}\\\\a_1_0=13(3)^{(9)}\\\\a_1_0=(13)19683\\\\a_1_0=255,879[/tex]

Answer:

SSS

Step-by-step explanation:

Ratio of the corresponding sides of both triangles are equal, so triangles are similar by SSS.

[tex]\frac{6}{9} =\frac{2}{3} \\\frac{14}{21}=\frac{2}{3}\\\frac{16}{24}=\frac{2}{3}[/tex]

The function with a range of (-π/2, π/2) is the arc sine function, denoted as y = sin-1(x) or y = arcsin(x).

The range of a function is the set of all possible output values it can produce. When referring to a function with a range of (-π/2, π/2), we are usually considering trigonometric functions, particularly the inverse trigonometric functions. The function that has a range between -π/2 and π/2 is the arc sine function, denoted as y = sin-1(x) or y = arcsin(x). This is because the arc sine function is the inverse of the sine function, which oscillates between -1 and 1, and thus its inverse must have a range where the angle could be between -π/2 and π/2 to accommodate this domain.

The sine function itself, which a student might initially think of due to its oscillation, has a domain of all real numbers and a range of [-1,1], so it does not fit the criteria given by the range (-π/2, π/2). It is important to recognize that, while a sine function oscillates between +1 and -1, its inverse function, arc sine, is the one with the specified range as mentioned in the question.

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Answer:

You should choose the last option because it is the most random at choosing salons to ask and so will give the least biased answer.

Step-by-step explanation:

ask the hair salon and they will tell you what hairstyle is hottest

Answer:p(side effects| child)=0.42

P(side effects|adults)=0.12

Step-by-step explanation:

Children are twice as likely as adults to experience side effects from the new drug.

The probability that an adult has side effects is 0.12,

while the probability that a child has side effects is 0.42.

This means that children are more likely to experience side effects from the new drug than adults.

We can calculate the probability of side effects for each group by dividing the number of people who experienced side effects by the total number of people in the group:

Probability of side effects in adults = [tex]\frac{6}{50}[/tex] = 0.12

Probability of side effects in children = [tex]\frac{21}{50}[/tex]= 0.42

We can also see this difference in the table provided. Children are more likely to experience side effects from the new drug than adults.

Children are more likely to experience side effects from the new drug than adults

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Answer: hell na

Step-by-step explanation:

Answer:12

Step-by-step explanation:

(15x-26)+26=180

15x=180

X=12

Answer:   If you want to find out how much 20 percent of 5.4 is, you have to multiply, the equation would be

5.4 x .2 = 1.08, so it will give you 1.08 more

Step-by-step explanation:

Answer:

Choice A

Step-by-step explanation:

In order to determine the equation of the graph, we can simply graph the four equations using an online graphing utility like desmos graphing tool and then run a comparison to identify the appropriate equation of the given graph.

Below are the graphs of the 4 given equations. The graphs were obtained using the desmos online graphing utility;

From the graphs below, the graph that matches the given graph is the one obtained from;

y = x cosx

This is the equation of the given graph

Answer:

A lot. probably down to a 60

Answer:

a = 4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since the triangle is right use the tangent ratio to find a, that is

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{a}{12}[/tex]

Multiply both sides by 12

12 × tan30° = a

12 × [tex]\frac{1}{\sqrt{3} }[/tex] = a

Rationalise the denominator on the left side by multiplying the numerator/ denominator by [tex]\sqrt{3}[/tex]

12 × [tex]\frac{\sqrt{3} }{3}[/tex] = a ( cancel the 12 and 3 )

a = 4[tex]\sqrt{3}[/tex]

[tex]\bf f(x)=-2x^2+11x\implies \left. \cfrac{df}{dx}=-4x+11 \right|_{x=9}\implies -4(9)+11\implies -25[/tex]

Answer:

a) -25

Step-by-step explanation:

First you have to find the derivative of F(x):

[tex]f(x)=2x^{2} +11x\\Derivative=2(2x)+1(11)\\Derivative=4x+11[/tex]

Now you just have to calculate the vale of f(x) when x=9

[tex]-4x+11=\\-4(9)+11=\\-36+11=-25[/tex]

So when x=9, the derivative of [tex]f(x)=2x^{2} +11x[/tex] is equal to -25

Answer:

3(x-3)

Step-by-step explanation:

First, we can see that both 3 and 9 are divisible by 3. So we know that 3/3=1 and 9/3=3.

When factoring equations, there have to be parenthesis so it's more organized. So we can put 3 outside of parenthesis:

3(x-3)

The reason we put the 3 outside of parenthesis is because when we multiply 3 by everything in the parenthesis, we will get the equation we originally started with, which is 3x-9.  

So the answer is 3(x-3)

Hope I helped!

~Mschmindy

Sales tax

At least 20 characters blahhhhh

Answer:

The answer is sales tax.

Step-by-step explanation:

When you purchase an item in a store, you may be charged sales tax.

A sales tax is imposed on the buyer, when he purchases something. This tax is imposed by the government on the sale of goods and services.

A typical sales tax is applied at the point of sale and collected by the retailer or seller and then passed on to the government.

Answer:

16

Step-by-step explanation:

1        1

1        2

1        3

1        4

2        1

2        2

2        3  

2        4

Three and four are done exactly the same way. the total is 16 ways.  

6 CM would make it 60mm because you would do length timeth width

" The area of the rectangle is 60 cm², which is equivalent to 6000 mm².

To calculate the area of a rectangle, one multiplies the length by the width. In this case, the rectangle has a width of 12 cm and a length of 5 cm. Therefore, the area (A) is calculated as follows:

[tex]\[ A = \text{length} \times \text{width} \][/tex]

[tex]\[ A = 5 \, \text{cm} \times 12 \, \text{cm} \][/tex]

[tex]\[ A = 60 \, \text{cm}^2 \][/tex]

The area is obtained in square centimeters (cm²) because we multiplied two lengths measured in centimeters.

 Now, to convert the area from square centimeters to square millimeters, we need to remember that there are 10 millimeters in a centimeter. Therefore, when converting from cm² to mm², we must square the conversion factor because we are dealing with a two-dimensional measurement:

[tex]\[ 1 \, \text{cm}^2 = (1 \, \text{cm})^2 = (10 \, \text{mm})^2 = 100 \, \text{mm}^2 \][/tex]

Now, we can convert the area from cm² to mm²:

 [tex]\[ 60 \, \text{cm}^2 = 60 \times 100 \, \text{mm}^2 \][/tex]

[tex]\[ 60 \, \text{cm}^2 = 6000 \, \text{mm}^2 \][/tex]

Answer:

False. The surface area of the cube will increase to four times its initial value.

Step-by-step explanation:

Consider a cube with edge of lengths [tex]a[/tex]. What will be its surface area?

Each face of a cube is a square. The lengths of sides of the square are also [tex]a[/tex].

The area of each square will be the square of its sides: [tex]a \cdot a = a^{2}[/tex].

It takes six such squares to make a cube. The sum of the area of the sube [tex]6a^{2}[/tex] will also be the surface area of the cube.

In case the length of each side of the cube is doubled to [tex]2a[/tex].

Answer:

D

Step-by-step explanation:

Using the trigonometric identities

• cscx = [tex]\frac{1}{sinx}[/tex]

• sin²x + cos²x = 1

Given

cosΘ = - [tex]\frac{1}{4}[/tex] , 180 < Θ < 270

then Θ is in the third quadrant where sinΘ < 0

sinx = - [tex]\sqrt{1-cos^2x}[/tex]

sinΘ = - [tex]\sqrt{1-(-1/4)^2}[/tex] = - [tex]\sqrt{\frac{15}{16} }[/tex] = -[tex]\frac{\sqrt{15} }{4}[/tex]

Hence

cscΘ = [tex]\frac{1}{-\frac{\sqrt{15} }{4} }[/tex] = - [tex]\frac{4}{\sqrt{15} }[/tex]

Answer:

D

Step-by-step explanation:

So you start with $2.65 and a variable y. What we will do is work without the dollar and keep it for the end as it quite disturbs and work our way while keeping the y. So first we have 2.65. Now it rose by y so. The price = 2.65 + y. Then it dropped by 0.15. So 2.65 + y - 0.15. Here you see we have like terms so we reduce and get 2.50 + y. Now it rose by 0.05. So 2.50 + y + 0.05. Again, like terms, reduce. 2.55 + y. There you go with the answer.

Final answer:

The current price of milk, after it first increased by an unknown amount y, then decreased by $0.15, and finally increased by $0.05, is represented by the expression $2.55 + y, which is Option D.

Explanation:

The question asks us to calculate the current price of a gallon of milk after a series of price changes. The original price was $2.65. After a hurricane, the price increased by y dollars. Subsequently, the price dropped by $0.15, and then again rose by $0.05.

To find the new price, we start with the original price and apply the changes step by step:

Original price: $2.65

Price after hurricane increase: $2.65 + y

Price after $0.15 drop: ($2.65 + y) - $0.15 = $2.50 + y

Price after $0.05 rise: ($2.50 + y) + $0.05 = $2.55 + y

Hence, the correct answer representing the current price of milk after these changes is Option D) $2.55 + y.

At the most 308 pounds / exactly 308 ((2000-150)/6=308) hope it helps

Answer:

At most 308 pounds

Step-by-step explanation:

Let x pounds be the new weight of the sacks,

⇒ The weight of 6 sacks = 6x,

Now, the weight of Kevin = 150 pounds,

Thus, the total weight Kevin and 6 sacks = 150 + 6x,

Given,

The capacity of the elevator is 2,000 pounds,

⇒ 150 + 6x ≤ 2000

⇒ 6x ≤ 2000 - 150    ( Subtraction property of inequality )

⇒ 6x ≤  1850

⇒ x ≤ 308.33 ≈ 308

Hence, the weight of each sack is approximately atmost 308 pounds.

Answer:

x^2 + y^2 = 36

Step-by-step explanation:

Just add 36 to both sides. This is a circle with the center at the origin and radius 6.

Final answer:

The equation in standard form for the circle x² + y² – 36 = 0 is x² + y² - 9x - 12y + 36 = 0.

Explanation:

The equation in standard form for the circle x² + y² – 36 = 0 is:

x² + y² - 9x - 12y + 36 = 0

This equation can be obtained by completing the square. Rewrite the equation as: (x² - 9x) + (y² - 12y) = 36. Complete the square for both the x and y terms by adding the square of half the coefficient of each term.

To complete the square for the x terms, add (9/2)² = 81/4, and for the y terms, add (12/2)² = 36 to both sides of the equation.

Simplify the equation to: x² - 9x + (81/4) + y² - 12y + 36 = 36 + (81/4) + 36.

Combine like terms and simplify further to obtain the standard form of the equation: x² + y² - 9x - 12y + 36 = 0.

Answer:

The correct Answer is C: The response variable is the number of push-ups. Good luck kid!

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

The radius of the circle is given as 7 ( centre of circle to point C )

The other radius is also 7 ( from centre to point D)

CD = 7

The triangle is therefore equilateral ( all 3 sides = 7 )

The angles of an equilateral triangle are equal and measure 60°

Hence mCD = 60°

Answer:

618499.2

answer step by step

5%×13=65

65%×374848=243651.2

243651.2+374848=618499.2

Answer:

i feel like the answer is y=-3x - 1 but at the same time i think its wrong.

Step-by-step explanation:

Answer:y=-3x - 1

Step-by-step explanation: