Answer:
-6 + 3x = -9

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And 6 to both sides:

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3x = -3

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Divide by 3 on both sides:

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x = -1

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**Answer: x = -1**

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And 6 to both sides:

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3x = -3

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Divide by 3 on both sides:

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x = -1

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If f(x) = -1/x, then f'(x) = 1/x^2. Theorem seems to suggest that the integral from -1 to 1 of 1/x^2 dx would equal f(1) - f(-1) = -1 -1 = -2. But 1/x^2 is a positive function and so its integral over [-1,1] should be positive. What is wrong here?

A brownie recipe calls for 1 1/2 cups of flour and 1/2 cup of sugar. If you use 1 cup of sugar, how many cups of flour will you use

Drag each figure to show if it is similar to the figure shown or why it is not similar

Which graph represents the function f(x) = |x + 3|?

Which statement describes how El Niño contributes to climate trends on Earth? A.A shift in trade winds in the Pacific causes a large mass of cold water to replace warm water, bringing in a cold air mass and cold weather.B.A shift in trade winds in the Pacific causes a large mass of warm water to replace cold water, bringing in a warm air mass and warm weather.C.Water moves from the equator toward Great Britain and Europe, causing warmer temperatures.D.The moon and Earth line up at a 90° angle, causing large tides and warmer weather.this is science not mathematics

A brownie recipe calls for 1 1/2 cups of flour and 1/2 cup of sugar. If you use 1 cup of sugar, how many cups of flour will you use

Drag each figure to show if it is similar to the figure shown or why it is not similar

Which graph represents the function f(x) = |x + 3|?

Which statement describes how El Niño contributes to climate trends on Earth? A.A shift in trade winds in the Pacific causes a large mass of cold water to replace warm water, bringing in a cold air mass and cold weather.B.A shift in trade winds in the Pacific causes a large mass of warm water to replace cold water, bringing in a warm air mass and warm weather.C.Water moves from the equator toward Great Britain and Europe, causing warmer temperatures.D.The moon and Earth line up at a 90° angle, causing large tides and warmer weather.this is science not mathematics

**The height of the water when **poured into the empty wide cylinder is;

*Option A; To the 7¹/₃ mark*

Formula for **volume of a cylinder** is;

**V = πr²h**

where;

r is radius

h is height

We are told that water is poured into the wide cylinder up to the 4th mark. Thus, for the **wide cylinder, h = 4**. Thus;

**V_wide = 4πR²**

Similarly, we are told that water is poured into the narrow cylinder up to the 6th mark. Thus, for the **narrow cylinder, h = 6**. Thus;

**V_narrow = 6πr²**

Now, the volume of the water will be the same since it was the same quantity that was poured. Thus;

**V_wide = V_narrow**

4πR² = 6πr²

⇒ R²/r² = 6/4

simplifies to get; R²/r² = ³/₂

Now both cylinder were emptied and water poured rises to the 11th mark for the narrow cylinder. Thus;

**πR²H = 11πr²**

R²/r² = 11/H

Earlier, we saw that R²/r² = ³/₂. Thus;

11/H = ³/₂

H = 22/3

**H = 7¹/₃**

The complete question is;

Attached are the drawings of a wide and a narrow cylinder. The cylinders have equally spaced marks on them. Water is poured into the wide cylinder up to the 4th mark (see A). This water rises to the 6th mark when poured into the narrow cylinder (see B). Both cylinders are emptied, and water is poured into the narrow cylinder up to the 11th mark. How high would this water rise if it were poured into the empty wide cylinder?

A) To the 7¹/₃ mark

B)To the 8th mark

C) To the 7¹/₂mark

D)To the 9th mark

E) To the 11th mark

Read more at; brainly.com/question/16760517

Answer:

COMPLETE QUESTION:

To the right are drawings of a wide and a narrow cylinder. The cylinders have equally spaced marks on them. Water is poured into the wide cylinder up to the 4th mark (see A). This water rises to the 6th mark when poured into the narrow cylinder (see B). Both cylinders are emptied, and water is poured into the narrow cylinder up to the 11th mark. How high would this water rise if it were poured into the empty wide cylinder?

a)To the 7 1/2 mark b)To the 9th mark c)To the 8th mark d)To the 7 1/3 mark

e)To the 11th mark

ANSWER : Option D (To the 7 1/3 mark)

Step-by-step explanation:

First part of the question enables us to get the relationship between the radius of the wider cylinder (R) and the narrow cylinder(r) i.e

Volume of cylinders

π x R² x 4 = πxr²x 6

R²/r² = 6/4

after both cylinder were emptied

π x R² x h = π x r² x 11

R²/r² = 6/4 = 11/h

h = (4 x 11) /6 = 22/3 = 7 1/3 mark

Therefore, the height of the water in the wide cylinder is 7 1/3

Measurement of Angle LOK = 82 degrees.

Solve for x.

Answer:

x = 14

Step-by-step explanation:

<LOJ = 3x

<KOJ = (2x + 12)°

<LOK = 82°

m<LOJ + m<KOJ = m<LOK (angle addition postulate)

3x + 2x + 12 = 82 (substitution)

5x + 12 = 82

5x = 82 - 12 (Subtraction property of equality)

5x = 70

x = 70/5 (division property of equality)

x = 14

**Answer:**

x = 4y + 28

**Step-by-step explanation:**

x/4 - 7 = y

+7 +7

x/4 = y + 7

× 4 × 4

x = 4y + 28

**Answer:**

x = 4y + 28

**Step-by-step explanation:**

For this, you would need to simplify both sides of the equation, after isolating the variable.

The **expected value** of the rate of return is 23.5%

It is a branch of mathematics that deals with the **occurrence** of a random event.

Given is a table which gives the **probability****distribution** of the annual rate of return on the stock of MNP Company, Inc. We have to find out the** expected value **of the rate of return

Let X be the return and p **probability**

Then

X 15% 20% 30% 35% Total

p 0.2 0.4 0.3 0.1 1

x(p) 3 8 9 3.5 23.5

Hence **Expected rate** of return

E(x)= 23.5%

Hence, the expected value of the** rate of return **is 23.5%

To learn more on **probability** click:

#SPJ1

**Complete Question **

The complete question is shown on the first uploaded image

**Answer:**

Based on the result of his test , Thomas should **fail to reject **null hypothesis at a significance level of 0.01. Thomas** sufficient **evidence to conclude that** the proportion **of households without children** in the set of all future samples reached by phone ** is** not equal to the proportion of households without children in the population of all households.**

**Step-by-step explanation:**

From the question we see that the p-value is greater than the level of significance (0.01 )so we fail to reject the null hypothesis.

This means that Thomas has sufficient evidence to conclude that the proportion of households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.

Given the pattern:

4,15,7,12,10,9,..

Every other term after the first term is increasing by 3. Thus continuing the pattern we shall have:

4, 15, 7, 12, 10, 9, 13, 11,16

thus the missing numbers will be:

13,11,16

4,15,7,12,10,9,..

Every other term after the first term is increasing by 3. Thus continuing the pattern we shall have:

4, 15, 7, 12, 10, 9, 13, 11,16

thus the missing numbers will be:

13,11,16

Split this pattern into two sub-patterns.

We can see that odd position terms first, third, and fifth terms are increasing by 3.

We also can see that even position terms second, fourth, and sixth terms are decreasing by 3.

So the remaining term is seventh, eighth, and ninth terms. So from pattern above, seventh and ninth is continue after odd position term, so that would be 13 then 16.

eighth term is continue after even position term. That would be 6.

So then the remaining pattern would be**13, 6, 16**.

We can see that odd position terms first, third, and fifth terms are increasing by 3.

We also can see that even position terms second, fourth, and sixth terms are decreasing by 3.

So the remaining term is seventh, eighth, and ninth terms. So from pattern above, seventh and ninth is continue after odd position term, so that would be 13 then 16.

eighth term is continue after even position term. That would be 6.

So then the remaining pattern would be