3 questions, worth a lot of points

Step-by-step explanation:

the lateral area of the cone is, well, the lateral area.

the total surface area of the cone is the lateral area plus the area of base circle.

so, the difference between both is the area of the base circle :

120pi - 70pi = 50pi

the area of a circle is

pi×radius²

and that is in our case

pi×radius² = 50pi

radius² = 50

radius = sqrt(50) = 7.071067812... ≈ 7.1 units

therefore, C is the right answer.

Step-by-step explanation:

Given the five summary of a data set:

45 - min

52 - Q1

56 - Median

61 - Q3

69- Max

Thus, any number less than Q1-(1.5×IQR)

, or any number that is greater than

Q3+ (1.5 × IQR) would be considered an outlier.

The IQR of the data set = Q3 - Q1 = 61-

52 = 9

Thus,

Q1- (1.5 × IQR) =52- (1.5* 9) = 52 - 13.5=38.5

Therefore, an observation is considered

an outlier if it is below: 38.5

Q3 + (1.5 * 1QR) = 61 + (1.5 * 9) =61+13.5 =74.5

Therefore, an observation is considered

an outlier if it is above: 74.5

Answer:

(2,5)

Step-by-step explanation:

Since it is reflected across the y-axis only the x point will change and vise-versa

The equation of the amount charged by Bob will be y = 7.25x.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:-

The equation will be generated as follow:-

6 hours  =  $  43.50

1 hours   =  $  7.25

9 hours   =  $ 65.2575

1 hours    =  $ 7.25

Let x represent the number of hours Bob works and y represent the amount he charges. The equation will be:-

y  =  7.25x dollars.

Therefore the equation of the amount charged by Bob will be y = 7.25x.

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Answer:

A

B

C

and

D

Step-by-step explanation:

A

B

C

and

D

Answer:

-2/5

Step-by-step explanation:

I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!

Answer:

-2/5

Step-by-step explanation:

+ × - = -

10/5-12/5

apply the fraction rule a/c-b/c =a-b/c

10-12/5

substract 10-12 =-2

-2/5

Answer:

x = 7

y = 12

Step-by-step explanation:

The key to solving this problem is understanding the properties of exponents:

If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y

6^7/12 = 6^x/y

So the product would be 6^7/12

Therefore, the answers are:

x = 7

y = 12

Answer:

I think it would be 1,000,000.

Step-by-step explanation:

Let's begin with a correction: the verb in question is TO BREATHE; one instance of doing so is the noun BREATH.

12 times per minute; 60 minutes per hour; 24 hours per day; multiplying all of these gives some number of breaths per day.  I'm going to call it B (you can calculate it).

Answer:

Step-by-step explanation:

12 / min

720 / hr

17,280 / day

6,307,200 / yr

Now divide 1,000,000,000 by 6,307,200 and you get 158 years

Answer:

7 = 49 ÷ r

Step-by-step explanation:

To find the equation that is true when r = 7, we need to find a number after the equals sign that is a multiple of 7.

Multiples of 7:  

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77...

Therefore, the only answer option in which the number after the equals sign is a multiple of 7 is:

7 = 49 ÷ r

To prove this, input r = 7 into each of the equations:

   6 = 30 ÷ r

⇒ 6 = 30 ÷ 7

⇒ 6 ≠ 4.285... ← incorrect!

   7 = 54 ÷ r

⇒ 7 = 54 ÷ 7

⇒ 7 ≠ 7.714... ← incorrect!

   7 = 49 ÷ r

⇒ 7 = 49 ÷ 7

⇒ 7 = 7 ← correct!

   9 = 72 ÷ r

⇒ 9 = 72 ÷ 7

⇒ 9 ≠ 10.285... ← incorrect!

Answer:

x = 2

Step-by-step explanation:

We can find this by doing the short (and wildly incorrect way, according to teachers) way and input two in.  The way the teachers want you to do it is this way:

3x + 4 = 10

3x + 4 (-4) = 10 (-4)

3x = 6

3x = 6/3

x = 2

2 is your answer.

Answer:

[tex]\mathrm {(x - 8)(x + 8)}[/tex]

had to be corrected. sorry for the inconvenience.

Answer:

(x - 8)(x + 8) will be your answer.

Step-by-step explanation:

Lets do this step by step.

1) Find the GCF of the expression.

2x^2 - 32x - 128 --> 2(x^2 - 16x - 64)

2) Use the X-method to factor.

It gives us the expression 2(x^2 - 8x)(-8x -64).

3) Factor for x.

(x^2 - 8x) --> x(x - 8)

(-8x - 64) --> -8(x + 8)

Our answer is (x - 8)(x + 8)

The probability distribution for x will be given below.

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

In a particular region, for families with a combined income of $80,000 or more, 20% have no children, 30% have one child, 40% have two children, and 10% have three children.

Let x be the number of children per family.

We have to construct a probability distribution for x from the given information.

x = 0, 1, 2, 3

For x = 0, the probability will be

P(x) = 20 / 100 = 0.20

For x = 1, the probability will be

P(x) = 30 / 100 = 0.30

For x = 2, the probability will be

P(x) = 40 / 100 = 0.40

For x = 2, the probability will be

P(x) = 10 / 100 = 0.10

Then the probability distribution for x will be given as

x              0              1              2              3

P(x)        0.20       0.30        0.40        0.10

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The mean and range for class A are 84.4 and 20 while the mean and range for class B are 83.6 and 8. Class B is more consistant then class A.

We can see from the data that the consistency of class B is more becuase the repeatation of the same score is more in class B then class A  and the range of class B is also less then the class A.

It should be noted that mean simply means average. It's the addition of the numbers divided by the total numbers.

In this case, the computation will be:

Class A: Mean = 422/5= 84.4.

Range: 94-74 = 20

Class B: Mean = 418/5 = 83.6.

Range= 88-80 = 8

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Answer: 11.8 km

Step-by-step explanation:

The resulting figure is a right angled triangle shown below

[tex]$$Apply the Pythagorean theorem to find out the magnitude of the resultant vector $A B$ in the triangle $A B C$ as follows -$$\begin{aligned}&A B^{2}=B C^{2}+C A^{2} \text { (Hypotenuse }{ }^{2}=\text { Base }^{2}+\text { Adjacent }^{2} \text { ) } \\&=7.4^{2}+9.2^{2} \\&=139.4 \\&A B=11.806777 \\&\quad A B \approx 11.8 \mathrm{~km} \text { (Rounded off to the nearest tenth) }\end{aligned}$$[/tex]

Answer:

Step-by-step explanation:

2x +4 = 2x - 5

4 + 5 = 2x - 2x

9 = 0

NO SOLUTION

Answer:

67.5 ft^3

Step-by-step explanation:

7.5 * 2 * 3.5   +  3 * 2.5 *2   =  67.5 ft^3

Answer:

The common denominator is 4.

Step-by-step explanation:

4/8 simplified is 2/4.

Therefore, we can now add them together.

2/4 + 2/4 = 1.

Hope this helps:) Goodluck!

The missing reason is reflexive property.

Therefore, the correct option is D.

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle.

Given that a triangle PHT is a right triangle and Line HY is an altitude.

According to the reflexive property, a side or an angle is congruent to itself.

If A is an angle of a triangle, then using reflexive property.

∠A ≅ ∠A

∠PHT ≅ ∠HYT (Both are right angles)

∠T ≅ ∠T (Reflexive property)

ΔPHT ~ ΔHYT (AA rule of similarity)

Other statements and reasons are already in the table.

Hence the correct option is D.

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Answer:

2 1/3 longer

Step-by-step explanation:

yw ;)

Answer:

⅓

Step-by-step explanation:

Expression : 3 ⅚ - 3 ½

3 ½ would become 3 3/6.

3 ⅚ - 3 3/6 = 2/6 = 1/3

Answer:

see attached image

Step-by-step explanation:

Answer:

The area is 40 units

Step-by-step explanation:

The table is an illustration of a linear table, and the constant of proportionality is 1.4

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Hence, the constant of proportionality is 1.4

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[tex]\text{Slope-intercept form is y=mx+c, where m is the slope and c is the y-intercept.}\\ \\~~~~~-4x+2y = 16\\\\\implies 2y = 16+4x\\\\\implies y = \dfrac 12(16+4x)\\\\\implies y = 8 + 2x\\\\\implies y=2x +8\\\\\text{It is now in the slope-intercept form.}[/tex]

Answer:

Q = 52.5

Step-by-step explanation:

given P is directly proportional to Q then the equation relating them is

P = kQ ← k is the constant of proportion

to find k use the condition Q = 30 when P = 40 , then

40 = 30k ( divide both sides by 30 )

[tex]\frac{40}{30}[/tex] = [tex]\frac{4}{3}[/tex] = k

P = [tex]\frac{4}{3}[/tex] Q ← equation of proportion

when P = 70 , then

70 = [tex]\frac{4}{3}[/tex] Q ( multiply both sides by 3 to clear the fraction )

210 = 4Q ( divide both sides by 4 )

52.5 = Q