the difference of two numbers is 13/24. if 11/12 of the reciprocal of one number is equal to 5/9 of the reciprocal of the other, what are the 2 numbers?

Answer:

k= 39/4; k = 9.75; k= 9  3/4

Step-by-step explanation:

Answer:

245

Step-by-step explanation:

4242/12=3.5

70×3.5=245

Answer:

\(\displaystyle x=\frac{-3+\sqrt{6}}{3}\text{ and } x=\frac{-3-\sqrt{6}}{3}\)

Or, by approximating:

\(x\approx-0.1835\text{ or } x\approx -1.8165\)

Step-by-step explanation:

Let’s convert this to standard form. We have:

\(-6x-1+5x^2=8x^2\)

Subtract 5x² from both sides:

\(-6x-1=3x^2\)

And add 6x and 1 to both sides:

\(0=3x^2+6x+1\)

This is not factorable. So, we will need to use the quadratic formula.

The quadratic formula for a quadratic in standard form is given by:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}}\)

In this case, a=3; b=6, and c=1.

Substitute appropriately:

\(\displaystyle x=\frac{-6\pm\sqrt{6^2-4(3)(1)}}{2(3)}\)

Simplify:

\(\displaystyle x=\frac{-6\pm\sqrt{24}}{6}\)

We can simplify the square root:

\(\sqrt{24}=\sqrt{4}\cdot\sqrt{6}=2\sqrt{6}\)

Hence:

\(\displaystyle x=\frac{-6\pm2\sqrt{4}}{6}\)

Simplify:

\(\displaystyle x=\frac{-3\pm\sqrt{6}}{3}\)

Hence, we will have two solutions:

\(\displaystyle x=\frac{-3+\sqrt{6}}{3}\text{ and } x=\frac{-3-\sqrt{6}}{3}\)

Approximating them, we can see that our solutions are approximately:

\(x\approx-0.1835\text{ or } x\approx -1.8165\)

Answer:

can't see it can u reload up

Answer:

u dont need help?

Step-by-step explanation:

still

Answer:

x ≤ - 2

Step-by-step explanation:

Given

- 3x + 3 ≥ 9 ( subtract 3 from both sides )

- 3x ≥ 6

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 2

Answer:

x<or equal to -2

Step-by-step explanation:

-3x>or equal to 9-3

-3x>or equal to 6(dividing both of them by -3)

x<or equal to -2

The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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Answer:

4.25$ per pair of skates

Step-by-step explanation:

Subtract 9.25 from 39. You get 29.75. Just divide 29.75 by 7 and you get 4.25

In 5 years, Jack's $300 deposit in an account with a 2% annual interest rate compounded monthly will grow to approximately $334.61, supplementing his retirement savings.



Jack's goal is to supplement his retirement in 5 years. To achieve this, he opens an account that pays 2% annual interest, compounded monthly. He also deposits $300 into this account.

To calculate the future value of Jack's investment, we can use the formula for compound interest:

Future Value = P * (1 + r/n)^(n*t)

Where:P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of times interest is compounded per year

t = Number of years

In this case, Jack's principal amount is $300, the annual interest rate is 2% (or 0.02), and interest is compounded monthly (n = 12). The time period is 5 years (t = 5).Plugging these values into the formula, we get:

Future Value = 300 * (1 + 0.02/12)^(12*5)

Simplifying this equation gives us:

Future Value ≈ $334.61

Therefore, after 5 years, Jack's investment will grow to approximately $334.61. This additional amount can supplement his retirement savings.

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Answer:

y = x/2 + 4

Step-by-step explanation:

When you are trying to find the line which is parallel to the first line, remember that the second line would have the SAME GRADIENT as the first line.

The number of ways that there is for Phil to get his money back is of:

Four ways.

The amount that Phil paid is of:

$1.

The total cost of the product is of:

$0.75.

Hence the change that Phil has to receive is of:

1 - 0.75 = $0.25.

The types of coins are given as follows:

With only five cent coins, there is one outcome, which is given by:

25/5 = 5 five cent coins.

With five and ten cent coins, there are two outcomes.

The fourth and final way for Phil to get his money back is with a single quarter, that is, a single $0.25 coin.

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The sample size required is 182 families should be interviewed.

To calculate the number of families that should be interviewed to obtain the desired precision and degree of confidence, one must first determine the minimum sample size required to achieve the desired degree of confidence. As the standard deviation of the sample was computed to be $400 with the mean of $60,000.

Sample size formula: n = (Z² * s²) / E²

The formula for the degree of confidence: Z = 2.576

Sample size formula: n = (Z² * s²) / E²

Substituting the values, we get n = (2.576² * $400²) / $90²= 181.49 = 182 families. The sample size required is 182 should be interviewed families.

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The first polynomial is:

-3x³ + 2x – 5

Then we add a polynomial p(x) and we get:

-3x³ + 2x – 5 + p(x) = 4x³ + 7x² – 3

We will find that p(x) = 7x³ + 7x² - 2x + 2

Now let's see how we got it:

Notice that the degree of the polynomial does not change, so p(x) is a polynomial of degree 3.

Then we can write:

p(x) = ax³ + bx² + cx + d

Then we have:

-3x³ + 2x – 5 + ( ax³ + bx² + cx + d) = 4x³ + 7x² – 3

(-3 + a)x³ + bx² + (2 + c)x + (-5 + d) =  4x³ + 7x² – 3

Notice that the above inequality should work for every value of x, so the terms with the same exponent must be equal between them:

(-3 + a)x³ = 4x³

bx² =  7x²

(2 + c)x = 0

(-5 + d) = – 3

Now we can remove the variables in all of these equations to get:

(-3 + a) = 4

b =  7

(2 + c) = 0

(-5 + d) = – 3

Now we can solve all of these and find the coefficients of our polynomial p(x).

-3 + a = 4

a = 4 + 3 = 7

a = 7

b = 7

2 + c = 0

c = -2

-5 + d = -3

d = -3 + 5 = 2

d = 2

Then we have:

p(x) = 7x³ + 7x² - 2x + 2

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The measures of the angles are ∠1 = 127°, ∠2 = 53°, ∠3 = 127°, ∠4 = 37°, ∠5 = 53°, ∠6 = 90°, ∠7 = 37°, ∠8 = 143°, ∠9 = 37° and ∠10 = 143°

From the question, we have the following parameters that can be used in our computation:

The transversal lines and the other lines

So, we have

∠1 = 180 - 53

Evaluate

∠1 = 127°

Also, we have

∠5 = 53°

By vertical angles, we have

∠2 = 53°

∠3 = 127°

Next, we have

∠4 = 127 - 90°

∠4 = 37°

Solving further, we have

∠6 = 90°

By corresponding angles, we have

∠7 = 37°

∠9 = 180 - 90 - 53°

∠9 = 37°

∠10 = 90 + 53°

∠10 = 143°

∠8 = 143°

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Answer:

Step-by-step explanation:

The weight of the suitcase is the difference of the two measures:

Since its less than 50 pounds no extra fees will be charges.

Weight of suitcase

No extra charge

Answer:

B: The function approaches 1 as x approaches -∞  and ∞

Step-by-step explanation:

Plato Answer

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

x=5 y=3

Step-by-step explanation:

x+y=8 1

x-y=2 2

x+y=8

y=8-x

substitute into 2

x-(8-x)=2

x-8+x=2

2x=10

x=5

substitute x into 1

5+y=8

y=3

5+3=8

5-3=2

In order to advise the tire manufacturer on their advertising effectiveness and allocation, we need to calculate the marginal return to sales for each region, assess the impact of additional advertising expenditure, determine where the additional money should be spent, and consider the reallocation of current advertising expenditures.

To find the marginal return to sales for each region, we differentiate the sales equation with respect to x. For Region 1, ds_1/dx = 36 - 2.6x, and for Region 2, ds_2/dx = 19 - 1.2x. If $10 million is being spent on TV advertising in each region, we substitute x = 10 into the respective equations to find the marginal return to sales. In Region 1, ds_1/dx = 36 - 2.6(10) = 11, and in Region 2, ds_2/dx = 19 - 1.2(10) = 7. Hence, the marginal return to sales is $11 million in Region 1 and $7 million in Region 2.

To determine which region would benefit more from additional advertising expenditure, we compare the marginal returns. Since the marginal return in Region 1 is higher ($11 million) compared to Region 2 ($7 million), Region 1 would benefit more from additional advertising expenditure.

If additional money is made available for advertising, it should be spent in Region 1 as it has the higher marginal return. Increasing the advertising expenditure in Region 1 would likely result in a greater increase in sales revenue compared to Region 2.

To reallocate money already being spent to produce more sales revenue, we should compare the coefficients of the quadratic term (x^2) in the sales equations. In Region 1, the coefficient is -1.3, and in Region 2, it is -0.6. Since the coefficient in Region 1 is larger in absolute value, reallocating some advertising expenditure from Region 2 to Region 1 would likely lead to a larger increase in sales revenue overall.

Therefore, based on the analysis, the tire manufacturer should focus on increasing advertising expenditure in Region 1, as it has a higher marginal return, and consider reallocating some advertising funds from Region 2 to Region 1 to optimize sales revenue.

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The given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.

An expression can be defined as a type of mathematical equation which is used to show the relationship that is existing between two or more variables and numerical quantities (integers).

In this exercise, you're required to fully simplify the given expression in the lowest terms. Thus, we would simplify the given expression completely by collecting like terms and performing the necessary arithmetic operations (addition and subtraction) as follows:

Collecting like terms, we have:

8h - 5h + 3w + 2w

Subtracting and adding the like terms respectively, we have:

3h + 5w.

In conclusion, we can logically deduce that the given expression (8h + 2w - 5h + 3w) can fully be simplified as 3h + 5w.

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Complete Question:

Fully simplify 8h + 2w - 5h + 3w.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

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The amount of money we can make is $0.05.

We have,

P= $710

R= 5.1%

T= 12 year

Compounded Continuously:

A = P\(e^{rt\)

A = 710.00(2.71828\()^{(0.051)(12)\)

A = $1,309.32

Compounded Daily:

A = P(1 + r/n\()^{nt\)

A = 710.00(1 + 0.051/365\()^{(365)(12)\)

A = 710.00(1 + 0.00013972602739726\()^{(4380)\)

A = $1,309.27

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The critical value of t with df as 7 is 2.36, and the critical value of t with df as 102 is 2.62

In a hypothesis test, the critical value is a value that is used to decide whether to accept the null hypothesis or not. It is based on the level of significance that was selected, which is the highest likelihood that a Type I error could occur.

a)

On referring to the t-distribution table, which is statistical software, or a calculator to find the critical value of t for a 95% confidence interval with degrees of freedom (df) = 7. The two-tailed confidence level of 0.95 is the essential value. We discover that the crucial value of t for a 95% confidence interval with df = 7 is roughly 2.365 using a t-distribution table or program.

b)

The t-distribution table, statistical software, or a calculator are used in a similar manner to estimate the critical value of t for a 99% confidence interval with df = 102. The crucial value is equal to the 0.99 two-tailed confidence level. The crucial value of t for a 99% confidence interval with df = 102 is roughly 2.62, according to a t-distribution table or computer programme.

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When examining the linear relationship between two numerical variables, correlation is used.

It calculates how powerful statistics are. The direction and strength of relationships between variables are studied and measured through correlation, which quantifies co-variation rather than causality. As a result, we must never assume that correlation implies a cause-and-effect relationship.

For instance, when two variables X and Y are found to change in one direction, the other variable's value is discovered to change either in the same direction (i.e., a positive change) or in the opposite direction. This relationship is known as a correlation (i.e. negative change).

On graph paper, a straight line can be used to depict how the two variables move with respect to one another if a correlation exists because it is linear.

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Answer:

156.7 mi

Step-by-step explanation:

Applying

Pythagoras theorem

a² = b²+c²............... Equation 1

Where c = distance to the earth horizon from point P

From the diagram in the question,

Given: a = (3959+3.1) mi = 3962.1 mi, b = 3959 mi

Substitute these values into equation 1

3962.1² = 3959²+c²

solve for c

15698236.41 = 15673681+c²

c² = 15698236.41-15673681

c² = 24555.41

c = √ 24555.41

c = 156.7 mi

Answer:

9/15 or 60 percent

Step-by-step explanation:

Answer:

The only graph that is fully shown.

Step-by-step explanation:

I did the math and the points check out.

Answer:

$8

Step-by-step explanation:

This system of equations relates the ticket price, in dollars, for seats in the silver (x) and gold (y) sections at a rock concert. x + 2y = 82 3x + y = 96 By how much does the price of a ticket for the gold section exceed the price for a ticket for the silver section?

Two equations are presented in this question

x + 2y = 82   equation 1

3x + y = 96     equation  2

Multiply equation 1 by 3

3x + 6y = 246 equation 3

subtract equation 2 from 3

5y = 150

y = 30

Substitute for y in equation 1

x + 2(30) = 82

x = 82 - 60

x = 22

difference in price = 30 - 22 = $8

x =

Answer:

1= 27
2= 2

Step-by-step explanation:

y=2x

Swap sides so that all variable terms are on the left hand side.

2x=y

Divide both sides by 2.

2

2x

​=

2

y

Dividing by 2 undoes the multiplication by 2.

x=

2

y

​