For which inequality would x = 5 be a solution?x - 4 > 8x + 7 ≥ 128 x ≤ 25.445 ÷ x < 9

Same Denominator We Add The Numerators:

Answer:

\(u + 2\)

The solution is;

If a < b, then (a,b) ∩ Q ≠ ∅

To prove this statement, we need to show that if a is less than b, then the intersection of the open interval (a,b) and the set of rational numbers (Q) is not empty.

Let's consider a scenario where a is a rational number and b is an irrational number. Since the set of rational numbers (Q) is dense in the set of real numbers, there exists a rational number r between a and b. Therefore, r belongs to the open interval (a,b), and we have (a,b) ∩ Q ≠ ∅.

On the other hand, if both a and b are rational numbers, then we can find a rational number q that lies between a and b. Again, q belongs to the open interval (a,b), and we have (a,b) ∩ Q ≠ ∅.

In both cases, whether a and b are rational or one of them is irrational, we can always find a rational number within the open interval (a,b), leading to a non-empty intersection with the set of rational numbers (Q).

This result follows from the density of rational numbers in the real number line. It states that between any two distinct real numbers, we can always find a rational number. Therefore, the intersection of the open interval (a,b) and the set of rational numbers (Q) is guaranteed to be non-empty if a < b.

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Answer: 527

Step-by-step explanation:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices.

Answer:

$41.24

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 54.99 × 25/100

Discount = 54.99 x 0.25

You save = $13.75

Final Price = Original Price - Discount

Final Price = 54.99 - 13.7475

Final Price = $41.24

Answer: 10:3 , 80/24

Step-by-step explanation:

If we divide it and multiply it in order to make it the same number as 20:6 we can know that 10:3, and 80/24 are the only ones that are equivalent to 20:6!

Answer:

4/6

Step-by-step explanation:

Given,The weight of an object near a supermassive object is given by `g = 325/r² N`.A space probe is currently 1700 meters from the object.The distance of the space probe from the object is to be moved to 3400 meters.

Work is given by the formula:Work = force x distanceWork done to move a space probe from 1700 meters to 3400 meters is given by:Work = Force x distance`g = 325/r² N`For `r = 1700 m`, `g = 325/(1700)² = 325/(2.89)² = 325/8.35 = 38.92 N`.At a distance of 3400 meters, `r = 3400 m`.Thus, force at a distance of 3400 meters is `g₁ = 325/(3400)² = 325/(11.56)² = 325/133.94 = 2.43 N`.

Work done is given by:Work done = force x distance`W = (g₁ - g) x d``W = (2.43 - 38.92) x 1700`Since distance is to be moved from 1700 meters to 3400 meters, the value of d is 1700.

Substituting the values in the formula:W = -36.49 x 1700`= -62,033.0 Nm`The work done to move the space probe from 1700 meters to 3400 meters is `-62,033.0 Nm`.

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The line drawing tool is used to draw the equations Y=1+1.50X and Y= 18-1.25X and the intersection point is labeled.

To draw the lines and indicate the point of intersection, you can follow these steps:

1. Draw a coordinate system on a piece of paper or using a drawing software.

2. For line A, plot two points on the coordinate system using the equation Y = 1 + 1.50X. Choose any two X values and calculate the corresponding Y values using the equation.

3. Connect the two points with a straight line and label it as line A.

4. For line B, plot two points on the coordinate system using the equation Y = 18 - 1.25X. Choose any two X values and calculate the corresponding Y values using the equation.

5. Connect the two points with a straight line and label it as line B.

6. Find the point of intersection between line A and line B. This is the point where both equations are equal. You can calculate this point by solving the system of equations Y = 1 + 1.50X and Y = 18 - 1.25X simultaneously.

7. Once you find the X and Y values of the point of intersection, mark it on the coordinate system and label it as 'Equilibrium'.

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Answer:

8411.67 m³

Step-by-step explanation:

The volume of a pyramid is one third its height times the area of its base. The Louvre pyramid has a height of 20.6 meters and a square base with sides of 35 meters. Find its volume, rounded to the nearest hundredth. Include units in your answer.

Volume of a pyramid is given as:

1/3 × Height × Area of it's base

= 1/3 × 20.6m × (35 m)²

= 8411.6666667 m³

Approximately = 8411.67 m³

Therefore, the volume of the pyramid = 8411.67 m³

The budget constraint for Jimmy can be represented by a straight line with two segments: one with a slope of -5 and another with a slope of -4. The intercept of the line with the vertical axis is $100.

Start by determining Jimmy's total earnings if he works all 80 hours. Since he earns $5 per hour, his total earnings would be 80 * $5 = $400.

Plot a point on the graph with coordinates (0, $100). This represents the situation where Jimmy does not work and receives the tax-free payment of $100.

Plot another point on the graph with coordinates (80, $400). This represents the situation where Jimmy works all 80 hours and earns $400.

Connect the two points with a straight line. The slope of the line segment representing labor is -5 because for every hour Jimmy works, he earns $5 less due to the 50% income tax. The slope of the line segment representing leisure is -4 because Jimmy's leisure time does not earn him any income.

The line intersects the vertical axis at $100, which represents the tax-free payment Jimmy receives when he does not work.

In summary, the budget constraint for Jimmy can be represented by a line segment with a slope of -5 for labor and a slope of -4 for leisure. The intercept with the vertical axis is $100, representing the tax-free payment.

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Answer:

y = 10

Step-by-step explanation:

\(\displaystyle \frac{6+9+18}{3}=\frac{12+y}{2}\\ \\\frac{33}{3}=\frac{12+y}{2}\\ \\11=\frac{12+y}{2}\\ \\22=12+y\\\\10=y\)

3

6+9+18

=

2

12+y

3

33

=

2

12+y

11=

2

12+y

22=12+y

10=y

answer: 10=y

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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The series diverges according to the Root Test.

To test the convergence of the series using the Root Test, we need to evaluate the limit of the absolute value of the nth term raised to the power of 1/n as n approaches infinity. In this case, our series is:

∑(n=1 to ∞) ((2n + 6)/(3n + 1))^n

Let's simplify the limit:

lim(n → ∞) |((2n + 6)/(3n + 1))^n| = lim(n → ∞) ((2n + 6)/(3n + 1))^n

To simplify further, we can take the natural logarithm of both sides:

ln [lim(n → ∞) ((2n + 6)/(3n + 1))^n] = ln [lim(n → ∞) ((2n + 6)/(3n + 1))^n]

Using the properties of logarithms, we can bring the exponent down:

lim(n → ∞) n ln ((2n + 6)/(3n + 1))

Next, we can divide both the numerator and denominator of the logarithm by n:

lim(n → ∞) ln ((2 + 6/n)/(3 + 1/n))

As n approaches infinity, the terms 6/n and 1/n approach zero. Therefore, we have:

lim(n → ∞) ln (2/3)

The natural logarithm of 2/3 is a negative value.Thus, we have:ln (2/3) <0.

Since the limit is a negative value, the series diverges according to the Root Test.

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The probable question may be:
Test the series below for convergence using the Root Test.

sum n = 1 to ∞ ((2n + 6)/(3n + 1)) ^ n

The limit of the root test simplifies to lim n → ∞  |f(n)| where

f(n) =

The limit is:

(enter oo for infinity if needed)

Based on this, the series

Diverges

Converges

Answer:

Uhhhhhh

Step-by-step explanation:

don't undertand srry

Answer:

Y-7=3(x-1)

Step-by-step explanation:

Answer: Sixth throw is 6

Step-by-step explanation: Let sixth throw be 'x'

1+5+3+5+1+x/6=3.5

15+x=3.5*6

15+x=21

x=6

Answer:3

Step-by-step explanation: literally just subtract 2 each time its not hard

  The option D is the correct answer.

a. They are adjacent angles: Adjacent angles are angles that share a common side and vertex, but do not overlap. It is possible for two angles to be supplementary and adjacent, but it is not always the case. Therefore, option a is not the correct answer.

b. They are congruent angles: Congruent angles have the same measure. Two angles that are supplementary to the same angle can have different measures, so option b is not the correct answer.

c. They are complementary angles: Complementary angles are two angles that add up to 90 degrees. Since two angles that are supplementary to the same angle add up to 180 degrees, they cannot also be complementary. Therefore, option c is not the correct answer.

d. They are congruent supplementary angles: Congruent supplementary angles have the same measure and add up to 180 degrees. This is the correct answer because if two angles are supplementary to the same angle, their measures must be equal in order for their sum to be 180 degrees. Therefore, option d is the correct answer.

To summarize, if two angles are supplementary to the same angle, they are congruent supplementary angles because their measures are equal and add up to 180 degrees.

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Answer:

m = - 13.5

Step-by-step explanation:

Given

\(\frac{2m}{3}\) + \(\frac{1}{2}\) - \(\frac{m}{5}\) = \(\frac{4m}{5}\) + 5

Multiply through by 30 ( the LCM of 3, 2, 5 ) to clear the fractions

20m + 15 - 6m = 24m + 150 , that is

14m + 15 = 24m + 150 ( subtract 24m from both sides )

- 10m + 15 = 150 ( subtract 15 from both sides )

- 10m = 135 ( divide both sides by - 10 )

m = - 13.5

Answer: The length of \(\overline{NP}\) is 10 units.

Step-by-step explanation:

We are given that,

Point O is on line segment \(\overline{NP}\) .

Then, \(\overline{NP}=\overline{NO}+\overline{OP}\)   (i)

Since we have given that OP=8 units and NO=2 units .

Now we will substitute these values in (i), we will get

\(\overline{NP}=8\ units+2\ units\\\\\Rightarrow\ \overline{NP}=10\ units\)

Hence, the length of \(\overline{NP}\) is 10 units.

The sine rule is the ratio of perpendicular and hypotenuse. Then the length of the hypotenuse is 3 units.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Then the length of the hypotenuse is given by the sine rule.

\(\rm \sin \theta = \dfrac{Perpendicular}{Hypotenuse}\)

We have

θ = 45°

P = 3√2

Then we have

\(\rm H = 3\sqrt2 \sin 45^o\\\\H = 4.2426 \times 0.7071\\\\H = 2.9999 \approx 3\)

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Answer:

12x + 15y < 120

Step-by-step explanation:

We don't know exactly how many items were bought, so we have to represent those numbers with letters (x and y)

Books are $12 each, so the total cost of books = 12x

DVDs are $15 each, so the total cost of DVDs = 15y

We know that some books and DVDs were bought:  12x + 15y

And the total amount spend was less than $120:  <120

So 12x + 15y < 120

Answer:

sorry i only know the number 2.

so the answer is the first one...

Answer:

374 °F

Step-by-step explanation:

Data obtained from the question include the following:

Temperature (°C) = 190 °C

Temperature (°F) =?

Recall:

The conversion scale of temperature from °F to °C is given by the following equation:

C = 5/9(F – 32)

Next, we shall make F the subject of the formula. This can be obtained as follow:

C = 5/9(F – 32)

Cross multiply

5(F – 32) = 9C

Divide both side by 5

F – 32 = 9C/5

Rearrange

F = 9C/5 + 32

With the above formula, we can convert 190 °C to °F as follow:

Temperature (°C) = 190 °C

Temperature (°F) =?

F = 9C/5 + 32

F = 9 × 190/5 + 32

F = 1710/5 + 32

F = 342 + 32

F = 374 °F

Therefore, Teo will set the oven to 374 °F

Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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The number of miles in the taxi ride is 13 miles.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, Lydia took a taxi from her house to the airport and the taxi company charged a pick-up fee of $4.10 plus $2.50 per mile.

The equation can be illustrated thus:

4.10 + 2.5x = 36.60

Collect like terms

2.5x = 36.60 - 4.10

2.5x = 32.5

Divide

x = 32.5 / 2.5

x = 13

The number of miles is 13 miles

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Sixteen randomly selected engines were tested, and their maximum horsepower values are provided. Assuming the data is normally distributed and using a significance level of 0.05, the test statistic is computed to assess the hypothesis.

To perform the hypothesis test, we will use a t-test for the mean. The null hypothesis (H0) assumes that the average maximum horsepower for the experimental engines is equal to the calculated maximum horsepower of 630HP. The alternative hypothesis (Ha) assumes that the average maximum horsepower is significantly different from 630HP.

Using the provided data, we calculate the sample mean of the maximum horsepower values:

(643 + 641 + 598 + 621 + 644 + 601 + 649 + 652 + 671 + 653 + 666 + 654 + 670 + 670 + 666 + 654) / 16 = 651.0625

Next, we calculate the sample standard deviation to estimate the population standard deviation:

s = √[((643 - 651.0625)^2 + (641 - 651.0625)^2 + ... + (654 - 651.0625)^2) / (16 - 1)] ≈ 24.663

Using the formula for the t-test statistic:

t = (sample mean - hypothesized mean) / (sample standard deviation / √sample size)

t = (651.0625 - 630) / (24.663 / √16) ≈ 2.027

Finally, comparing the calculated t-value of 2.027 with the critical t-value at a significance level of 0.05 (using a t-distribution table or software), we determine whether to reject or fail to reject the null hypothesis. If the calculated t-value falls outside the critical region, we reject the null hypothesis and conclude that there is a significant difference between the average maximum horsepower and the calculated maximum horsepower.

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8 Guidelines for Critically Evaluating a Statistical Study

1. Identify the Goal, Population, and Type of Study

2. Consider the Source

3. Examine the Sampling Method

4. Look for Problems in Defining or Measuring the Variables of

Interest

5. Watch Out for Confounding Variables

6. Consider the Setting and Wording of Any Survey

7. Check That Results Are Fairly Represented in Graphics or

Concluding Statements

8. Stand Back and Consider the Conclusions

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Answer:

ok roll roll

Step-by-step explanation:

The correct value of this equation is m = 24

This equation contains a fractional term. We note that the denominator of this equation is the term 4. Therefore, we will multiply the sides by 4:

13 = m/4 + 7

13 . 4 = 4(m/4) + 7 . 4

52 = m + 28

Now, let's isolate the variable "as negative" and after the equality - we'll be subtracting the terms:

52 = m + 28

-m = 28 - 58

-m = -24

m = 24

Therefore, the correct value of this equation will be m = 24

Answer:

Step-by-step explanation:

Let's go through this step by step.

Multiples of 12:

Multiples of 27:

As shown above, there are 2 108's, which are the first multiples to match.

Your answer is 108.