HELP!!

Find three consecutive odd integers that twice the sum of the second and the third is 43 more than three times the first

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

Answer:

3/4 - 2/11 = 25/44

Step-by-step explanation:

To work out 3/10 + 1/3, we need to find a common denominator. The smallest common multiple of 10 and 3 is 30. So we can rewrite each fraction with a denominator of 30:

3/10 + 1/3 = 9/30 + 10/30 = 19/30

Therefore, 3/10 + 1/3 = 19/30.

To work out 3/4 - 2/11, we need to find a common denominator. The smallest common multiple of 4 and 11 is 44. So we can rewrite each fraction with a denominator of 44:

3/4 - 2/11 = 33/44 - 8/44 = 25/44

Therefore, 3/4 - 2/11 = 25/44

The domain of the function y=3√x-1 is x≥1/27, because the expression under the radical (x-1) must be non-negative. Therefore, the domain is all values of x greater than or equal to 1/27.

The domain of the function is -∞ < x < ∞.

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables. The domain is indicated by the fact that the fraction's denominator is not equal to zero and by the fact that the digit under the square root bracket is positive. (When a function has fractional values.

We have the function: y = ∛ (x- 1)

Domain denotes all conceivable x values for which the function is defined.

The set of all real numbers constitutes the domain of a cube root function.

Given that the function provided is the cube root function.

As a result, the set of all real numbers for which the given function is defined is its domain.

So, -∞ < x < ∞.

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a) Proportionately, if the budget for clothing amounted to GH 300.00, which is 20% of the monthly budget, the total income can be determined as GH  1,500.

b) The man's monthly budget will look like this:

Housing =            GH 150

Food =                GH 450

Fuel =                 GH 225

Clothing =          GH 300

Health =              GH 225

Miscellaneous = GH 150

Total income = GH 1,500

We can determine the total income of the man by equating the ratios of his clothing expense and the total income.

We understand that proportions are ratios equated to one another.

Housing = 10%

Food = 30%

Fuel = 15%

Clothing = 20%

Health = 15%

Miscellaneous = 10%

Proportionately, if the budget for clothing amounted to GH 300.00, which is 20% of the monthly budget, the total income can be determined as GH 1,500 (GH 300.00/20%).

Housing = 10%           GH 150 (GH 1,500 x 10%)

Food = 30%               GH 450 (GH 1,500 x 30%)

Fuel = 15%                 GH 225 (GH 1,500 x 15%)

Clothing = 20%         GH 300 (GH 1,500 x 20%)

Health = 15%             GH 225 (GH 1,500 x 15%)

Miscellaneous = 10% GH 150 (GH 1,500 x 10%)

Total income = GH 1,500

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Answer:

-5 and -6

have a great day:)

Answer: The value of c that satisfies the given equation is {5 / (2ab)

Step-by-step explanation:

To solve for c, we need to isolate c on one side of the equation. To do this, we can divide both sides of the equation by 2ab. This will give us:

abc / 2ab = 5 / 2ab

Since division is the inverse of multiplication, we can cancel out the 2ab on the left side of the equation by dividing both sides by it:

c = 5 / (2ab)

Therefore, the value of c that satisfies the given equation is {5 / (2ab).

Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.

To determine the amount and character of the income or gain recognized by Rusty due to the partial liquidation, we need to compare the distribution received to Rusty's stock basis and the fair market value of the shares.

In this case, Nail Corporation distributed $555,440 to Rusty in exchange for 50% of his stock in the company. The fair market value of the shares at the time of the distribution was $212 per share, and Rusty's tax basis in the shares was $50 per share.

First, we calculate the total tax basis in the shares Rusty exchanged:

Tax basis = Number of shares exchanged * Tax basis per share

Tax basis = 50% * Tax basis per share

Tax basis = 50% * $50 = $25

Next, we calculate the gain on the exchange by subtracting the tax basis from the fair market value of the shares:

Gain on exchange = Fair market value of shares - Tax basis

Gain on exchange = $212 - $25 = $187

Since the distribution was made in exchange for Rusty's stock, the gain of $187 recognized by Rusty in the partial liquidation is treated as a capital gain.

Therefore, Rusty would recognize a capital gain of $187 due to the partial liquidation of Nail Corporation.

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Answer:

2

Step-by-step explanation:

(1/2) elevado -1

2/1

Solutions for the equation 3/(2x - 5) = x are x = - 0.5, 3.

The correct option is (C).

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given, equation

3/(2x - 5) = x

Cross multiplying LHS and RHS

x(2x - 5) = 3

2x² - 5x = 3

2x² - 5x - 3 = 0

2x² - 6x + x - 3 = 0

2x (x - 3) + 1 (x - 3) = 0

Factoring out common factors

(x - 3)(2x + 1) = 0

2x + 1 = 0

⇒ x = - 1/2 = -0.5

x - 3 = 0

⇒ x = 3

Hence, x = - 0.5 , 3 are the solutions for the equation 3/(2x - 5) = x.

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Answer:

108  gadgets

Step-by-step explanation:

We can use a ratio to solve

24 gadgets           x gadget

------------------- = ---------------

2.5 hours           11.25 hours

Using cross products

24 * 11.25 = 2.5 *x

270 = 2.5x

Divide by 2.5

270/2.5 = 2.5x/2.5

108 = x

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants

The visual cliff experiment is used to test depth perception in babies, by

using an apparent cliff.

The experiment can be used to verify if the perception of depth is an

innate capability or a learned response.

The completed statement is therefore;

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants.

The phrase that completes the statement is depth perception

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Answer:

x = 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Solve for

x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

x>7

Interval Notation:

7

ANSWER: C and F

We have:

The formular caculate surface area of a rectangular prism is:

A = 2 (length x width) + 2 (width x height) + 2 (length x heigh)

So the FIRST option of all would be

C; The surface area is 2 (lw) +2 (wh) +2 (lh)

NEXT, The formular caculate the volume of a rectangular prism is:

V = Length x width x height

So the SECOND option would be F; The volume is (lwh)

(L = length, w = width, h = height)

HOPE IT HELPS ^^!

(a) Is this an observational study or an experiment?

ans=Observational study – no treatment was imposed

(b) What are the explanatory and response variables?

ans=explanatory – time spent in child care from birth to age 4 response – adult rating of children’s behavior

d) Does this study show that child care causes children to be more aggressive? Explain.

No. Observational studies cannot show cause-and-effect

Researchers=someone whose job is to study a subject carefully, especially in order to discover new information or understand the subject better: She is a leading researcher in the field.

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To check the normality of the sampling distribution for a one-sample z confidence interval for proportions, the sample size should be large (typically n > 30), and the number of successes and failures in the sample should both be at least 10.

To check for normality of the sampling distribution for a one-sample z confidence interval for proportions, we need to ensure that the following conditions are met:

Large sample size: The sample size should be sufficiently large (typically n > 30). This is because the central limit theorem states that for large enough sample sizes, the sampling distribution of the sample proportion will be approximately normal, regardless of the underlying distribution of the population.

Success-Failure Condition: The number of successes (np) and failures (n(1-p)) in the sample should both be at least 10. This condition ensures that the binomial distribution of the sample proportion is approximately normal.

If these conditions are met, then we can assume that the sampling distribution of the sample proportion is approximately normal, and we can proceed to construct a one-sample z confidence interval for proportions.

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35/864 is the probability that the same color is recorded both times .

How does probability explain work?

7/12*1/2 = 7/24

red marbles =  5/12*1/3 ⇒ 5/36

the probability =  7/24*5/36 ⇒ 35/864

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A store sold 120 units of good A for $4 each and they sold 340 units of good B for $5 each. The given value of sales was $ 2,180.

To find out the value of sales when a store sold 120 units of good A for $4 each and 340 units of good B for $5 each, we have to calculate the total cost of good A and good B sold respectively and add them together.

Value of sales = Total cost of good A + Total cost of good B Total cost of good A

= Number of units of good A sold x Cost of each unit of good A Total cost of good A

= 120 x $4Total cost of good

A = $480

Total cost of good B = Number of units of good B sold x Cost of each unit of good B Total cost of good

B = 340 x $5

Total cost of good B = $1,700

Therefore,Value of sales = Total cost of good A + Total cost of good B Value of sales = $480 + $1,700

Value of sales = $2,180

Therefore, the value of sales was $2,180.

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Answer: I would say about $2.06 when rounded

Step-by-step explanation:

18.79/9.1=~$2.06

We employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution.

Thus, we employ a two-tailed test when determining if a sample mean would be either significantly higher and otherwise significantly lower than what the population mean.

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Answer:

General Formulas and Concepts:

Calculus

Integration

   Integrals

Integration Rule [Reverse Power Rule]:

Integration Rule [Fundamental Theorem of Calculus 1]:

Integration Property [Multiplied Constant]:

Integration Property [Addition/Subtraction]:

Multivariable Calculus

Triple Integrals

Cylindrical Coordinate Conversions:

Integral Conversion [Cylindrical Coordinates]:

Step-by-step explanation:

Step 1: Define

Identify given.

Step 2: Integrate Pt. 1

Find r bounds.

   [Cylinder] Substitute in Cylindrical Coordinate Conversions:

   Solve for r:

   [r] Identify:

   Define limits:

Find θ bounds.

   [Cylinder] Graph Circle [See 2nd Attachment]

   [Graph] Identify limits [Unit Circle]:

Find z bounds.

   [Region E] Define limits:

Step 3: Integrate Pt. 2

   [Integrals] Convert [Integral Conversion - Cylindrical Coordinates]:

   [Integrals] Substitute in Cylindrical Coordinate Conversions:

   [Integrals] Substitute in region E:

   [dz Integral] Apply Integration Rule [Reverse Power Rule]:

   Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

   [dr Integral] Apply Integration Rules and Properties [Reverse Power Rule + Multiplied Constant]:

   Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

   [Integral] Apply Integration Rules and Properties [Reverse Power Rule + Multiplied Constant]:

   Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:

∴ the given integral using cylindrical coordinates equals 2500π.

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Topic: Multivariable Calculus

Unit: Triple Integrals Applications

Answer: \(\displaystyle \iiint_E {x^2 + y^2} \, dV = 2500 - 1

Step-by-step explanation:

Answer:

16 m

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = base² +altitude²

                      = 5² +6²

                      = 25 + 36

                      = 61

First diagonal = \(\sqrt{61}\) = 7.81 m

Second diagonal² = first diagonal² + altitude²

                              = \((\sqrt{61})^{2}\)  + 3²

                              = 61 + 9

                              = 70

second diagonal = \(\sqrt{70}\) = 8.37 m

First diagonal  + second diagonal = 7.80 + 8.37 = 16.17 = 16

The relative rate of population change after seven years from now is a) 1.7 % (rounded off to 1 decimal place) b) Yes, the relative rate of population change will reach 2.3% in 19.21 years

The function for population t years from now is P(t)= 2+ 1.2e^(0.04t)

a) relative rate of change of population

= P'(t) / P(t)

= (0+1.2e^(0.04t) * 0.04 )/ ( 2+ 1.2e^(.04t) )

= 0.048 e ^(0.04t) / (2 + 1.2e^(0.04t) )

Relative rate of change of population 7 years from now

= 0.048 e ^(0.04 * 7) / (2+ 1.2e^(0.04*7))

=0.0177 = 0.177 * 100 = 1.7 % per year (rounded off to one decimal place

b) For the relative rate of change to reach 2.3 %

P'(t) / P(t) = 2.3 % = 0.023

⇒(0+1.2e^(0.04t) * 0.04 )/ ( 2+ 1.2e^(0.04t) ) = 0.023

⇒0.048e ^(0.04t) = 0.046 + 0.0267e^(0.04t)

⇒e ^(0.04t) = 0.958 + 0.556e ^(0.04t)

⇒e ^(0.04t) ( 1 - 0.556) = 0.958

⇒e ^(0.04t) ( 0.444) = 0.958

⇒e ^(0.04t) = 2.157

⇒0.04t = ln(2.157)           (applying ln on both sides)

⇒t = 19.21 years

The relative rate of population change is 2.3% in 19.21 years

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The sum of deviations of the individual observations from their sample mean is always equal to zero.

The sum of deviations of the individual observations from their sample mean is always equal to zero. This is because the sum of all the deviations is the sum of a positive and a negative value. When we add the negative value to the positive value, the net result is always zero.To illustrate this, let's take an example. Suppose we have a sample of 5 observations: 2, 4, 6, 8, 10. The mean of the sample is 6. The deviations of the individual observations from the sample mean can be calculated as follows:

2-6=-4

4-6=-2

6-6= 0

8-6= 2

10-6=4

When we add the deviations, we get: -4+(-2)+0+2+4=0. The sum of all the deviations is always equal to zero.

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Answer:

-6m^14

Step-by-step explanation:

Answer:

It's 24m^17

Step-by-step explanation:

I got it right on my test

Conservation of number, which is the understanding that the quantity of an object remains the same even if its appearance or arrangement changes.

Four-year-old Dimitri has not acquired the concept of conservation.

Conservation refers to the understanding that certain properties of objects, such as quantity, remain the same even when their appearance changes, as long as nothing is added or removed.

In this case,

Dimitri incorrectly believes that increasing the spacing between nickels in one row results in more nickels, failing to understand that the quantity remains the same.

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The values of the equivalent expressions are 0, -2, 0, 0, 2 and 2 respectively.

To find equivalent expressions, we can use the property of additive inverses, which states that the sum of a number and its additive inverse is always equal to zero. That is:

a + (-a) = 0

We can use this property to rewrite the expressions as follows:

a. 3 + (-3) = 0

b. 3 - 5 = 3 + (-5) = -2

c. 3 + (-3) = 0

d. -3 + 3 = 0

e. -3 + 5 = 2

f. 5 - 3 = 5 + (-3) = 2

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Answer:

Step-by-step explanation:

Let the cost of apples be x

Then we have equation:

Cost of apple: $2 per pound

There are 22 people who sent the chain letter, and 189 people did not continue the chain.

We know that the chain started with one person who sent it to 7 others, so that makes a total of 8 people in the first round. In the second round, each of those 7 people could either send it to 7 more people or ignore it, so there are two possibilities for each of those 7 people: they either continue the chain or they don't.

Therefore, there are 2⁷ = 128 possible outcomes for the second round.

If we assume that everyone who received the letter in the second round sent it to 7 more people, then there would be 7 x 128 = 896 people in the third round.

Continuing this pattern, we can see that the number of people in each round is given by the formula of combination 8 x 7ⁿ⁻¹, where n is the round number (starting with n = 1 for the first round).

We want to find the round number such that the total number of people in the chain is 211. Setting the formula above equal to 211 and solving for n gives

8 x 7ⁿ⁻¹ = 211

7ⁿ⁻¹ = 26.375

n - 1 = log_7(26.375)

n = 2.78 (rounded to two decimal places)

Since we can't have a fractional round number, we can assume that the chain ended after the second round (since the third round would have too many people). Therefore, the total number of people who sent the letter is

8 + 7(2) = 22

To find the number of people who did not continue the chain, we can subtract the number of people who sent the letter from the total number of people in the chain

211 - 22 = 189

Therefore, 189 people did not continue the chain.

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