Which of the following numbers is irrational?

-0.3

Answer:

x = 4, 7

Step-by-step explanation:

We start off with the equation \(x^{2} -11x = -28\). from there, we can add 28 to both sides to get \(x^{2} -11x+28 = 0\). From there, we have to factor the equation. In order to factor it, we have to ask ourselves what 2 numbers would add up to -11 and multiply to 28? In this case, the answer would be -7 and -4. So, we get the equation (x-7)(x-4) = 0. Then, we set each part of the equation = 0 to get the anwsers x = 4 and 7. Hope this helps!

Answer:

x= 7

x= 4

Step-by-step explanation:

Move terms to the left side

2−11=−28

x^{2}-11x=-28x2−11x=−28

2−11−(−28)=0

Use the sum-product pattern

Identify a, b, and c in your equation and then find two numbers that when multiplied together equal c and when added together equal b.

2−11+28=0

Factor

Write your equation in factored form

(−7)(−4)=0

Create two separate equations

Set each factor equal to zero

−7=0

x-7=0x−7=0

−4=0

Solve

Rearrange and isolate the variable to find each solution

=7

x=7x=7

=4

Solution

=7=4

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Step-by-step explanation:

the surface areas are always the sum of the areas of the individual sides and base area.

so, all we need to do here is calculating the areas of triangles, rectangles (actually squares) and a hexagon.

the area of a triangle is

baseline × height / 2

or with Heron's formula when we have all sides

s = (a+b+c)/2

area = sqrt(s×(s-a)×(s-b)×(s-c))

the area of a rectangle is

length × width

for a square that is then

side × side = side²

and the area of a regular hexagon can be created again as sum of multiple sub-shapes. but ultimately it is

3 × sqrt(3) × side² / 2

1.

square base area : 10×10 = 100 cm²

lateral areas :

one triangle is 10×13/2 = 65 cm²

4 triangles are then 4×65 = 260 cm²

total surface area :

100 + 260 = 360 cm²

2a.

3 lateral triangles :

3 × 8×10/2 = 120 units²

base area (Heron's, as all 3 sides are 8 units) :

s = 3×8/2 = 12

area = sqrt(12×4×4×4) = sqrt(3×4×4×4×4) = 16×sqrt(3)

total surface area :

120 + 16×sqrt(3) = 147.7128129... units²

2b.

4 lateral triangles :

4 × 8×10/2 = 160 units²

base area : 8×8 = 64 units²

total surface area :

160 + 64 = 224 units²

2c.

6 lateral triangles :

6 × 8×20/2 = 480 units²

base area :

3×sqrt(3)×8²/2 = 96×sqrt(3)

total surface area :

480 + 96×sqrt(3) = 646.2768775... units²

2d.

base area : 16² = 256 units²

4 lateral triangles. but we need to get their height first.

Pythagoras :

(16/2)² + 24² = height²

8² + 24² = height²

64 + 576 = height²

height² = 640

height = sqrt(640) = sqrt(64×10) = 8×sqrt(10)

4 triangles are

4 × 16×8×sqrt(10)/2 = 256×sqrt(10) units²

total surface area :

256 + 256×sqrt(10) = 256×(1 + sqrt(10) = 1,065.543081... units²

Answer:

it would be 30 because 10 for a cab the 3 for 3 people add it you get 30

Step-by-step explanation:

Answer:

(a) \(x=\frac{19}{4}=4.75\)

(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)

Step-by-step explanation:

The detailed explanation is shown in the attached documents below.

It could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

The most accurate interpretation of the given confidence interval is as follows:

We are 95% confident that the true difference in mean wait time between Facility A and Facility B falls within the range of 0.32 minutes to 1.47 minutes.

This means that if we were to repeat the study multiple times and calculate a new confidence interval each time, we would expect that approximately 95% of those intervals would contain the true difference in mean wait time between the two facilities.

Furthermore, based on the observed data and the calculated confidence interval, we can conclude that the difference in mean wait time between Facility A and Facility B is likely to be positive, with Facility B having a higher mean wait time than Facility A. However, we cannot say with certainty that the true difference is exactly within this specific range; it could be slightly lower or higher, but we can be confident that it falls somewhere between 0.32 minutes and 1.47 minutes.

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Simplifying the linear inequality, x has a value in the range of -2 to + 1 and can be expressed as -2 < x < 1

A mathematical statement in which the maximum power of the variable is 1 is known as a linear inequality. The equation "ax + b c" or "ax + b > c" is used to describe it, where "a," "b," and "c" are constants and "x" is the variable. The collection of all 'x' values that satisfy the inequality is the solution to a linear inequality. A straight line on a coordinate plane represents the graph of a linear inequality.

In the given problem, the linear inequality is;

1 < x + 3 < 4

To solve for x, we have to subtract 3 from all sides of the inequality

-3 + 1 < x + 3 - 3 < 4 - 3

Simplifying this;

-2 < x < 1

The solution of value of x is between -2 to + 1

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2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

5x+2y<=30

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The graph for the inequality can be made as shown below.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

As per the graph let the number of pounds of quinoa be represented by x and the number of pounds of rice Celeste can buy be represented by y.

Therefore, the expression that can represent the number of pounds that Celeste can buy is,

5x + 2y

Also, it is given that Celeste can spend no more than $30. Therefore, the inequality can be written as,

5x + 2y ≤ 30

Now the graph for the inequality can be made as shown below.

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Answer:

10

Step-by-step explanation:

Answer:

Hello Everybody Love Pizza

Step-by-step explanation:

Linear equations are equations that have constant slopes

The ordered pairs of the equations are:

(0,9), (0,-6), (0,-1) and (0,-1)

The equations are given as:

y=-2x+9

y=-2x-6

y=3x-1

y=1/2x-1

Set x to 0, to calculate the corresponding y-value in all the equations

\(y=-2(0)+9 =9\)

\(y=-2(0)-6 = -6\)

\(y=3(0)-1 =-1\)

\(y=1/2(0)-1 = -1\)

So, the ordered pairs of the equations are:

(0,9), (0,-6), (0,-1) and (0,-1)

See attachment for the graphs of all the four lines

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The probability of the horse winning the race is 4/11 or approximately 0.36 or 36%.

The odds in favor of a horse winning a race is expressed as a ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds in favor of the horse winning the race is 4:7.

This means that for every 4 favorable outcomes, there are 7 unfavorable outcomes.

To determine the probability of the horse winning the race, we can use the formula:

Probability = favorable outcomes / total outcomes

In this case, the total number of outcomes is the sum of the favorable and unfavorable outcomes, which is 4 + 7 = 11.

Therefore, the probability of the horse winning the race is:

Probability = 4 / 11

This means that the horse has a probability of approximately 0.36 or 36% of winning the race.

In summary, the odds in favor of a horse winning a race of 4:7 means that there are 4 favorable outcomes for every 7 unfavorable outcomes.

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No, lecture notes collected during a bachelor degree study are not a type of date. Lecture notes are a collection of the notes taken by a student during the lectures in the course of their bachelor degree study.

They are not the same as dates, which are the specified days on which something happens or is planned to happen. Lecture notes are usually written in the form of summaries of a lecture, which are usually made up of the important points that the student has noted down during the lecture.

They may also include diagrams, equations, and other visual aids that the student has used to illustrate the material covered. Lecture notes are not the same as dates, as they are not related to any specified days. They are simply summaries of the lecture topics discussed by the professor in the course of the student’s bachelor degree study.

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We do not have sufficient evidence to support the claim that p > 0.3 at the 0.05 significance level.

a) Since the alternative hypothesis is one-tailed (p > 0.3), the test is right-tailed.

b) The null hypothesis, H0: p ≤ 0.3, and the alternative hypothesis, Ha: p > 0.3.

c) To find the P-value, we need to find the area to the right of z = 1.52 under the standard normal distribution curve. Using a standard normal distribution table or calculator, we find that the area to the right of 1.52 is approximately 0.0643.

d) To find the critical value(s), we need to use a standard normal distribution table or calculator and find the z-score that has an area of 0.05 to its right. That z-score is approximately 1.645.

e) Since the P-value (0.0643) is greater than the significance level (0.05) and the test is right-tailed, we fail to reject the null hypothesis. Alternatively, we can compare the test statistic with the critical value. Since the test statistic (z = 1.52) is less than the critical value (z = 1.645), we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to support the claim that p > 0.3 at the 0.05 significance level.

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Answer:

2 feet.

Step-by-step explanation:

Since the volume of cube A is 64, we can divide the edge (4) by two because cube B can only hold half as much liquid.

Thus, the edge of cube b is 2 feet.

Hope it helped!

Answer:

Step-by-step explanation:

Original price is x, then the sale price is:

If 0.8x is 216, then x is:

Answer:

$270

Step-by-step explanation:

Let x be the original price of the ring.

If the ring has been discounted by 20%, then it is now 80% of its original price, since 100% - 20% = 80%.

\(\implies 80\% \textsf{ of }x = \$216\)

\(\implies \dfrac{80}{100}x = 216\)

Multiply both sides by 100:

\(\implies \dfrac{80x}{100} \cdot 100=216 \cdot 100\)

\(\implies 80x=21600\)

Divide both sides by 80:

\(\implies \dfrac{80x}{80}=\dfrac{21600}{80}\)

\(\implies x=270\)

Therefore, the original price of the ring was $270.

Answer:

55 pages per hour

Step-by-step explanation:

You divide 165 by 3 = 55

Answer:

1. A arithmetic sequence that starts at 1 and has a common difference of 3

2. A geometric sequence that starts at 1 and has a common ratio of 3

3. 15, 19, 23, 27, 31, ...

4. 3, 27/3, 27, 243/3, 243, ...

5. -2, 16/4, -8, 16, -32, ...

6. 8, 40, 200, 1000, 5000, ...

7. 1432, 143.2, 14.32, 1.432, ...

The rate was the temperature increased by 1 degree for every 1 hour that passed.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Kaylee carried out a scientific experiment. For a period of time, the temperature of a compound grew by one degree per hour.

The rate at which the temperature of the compound rose is 1 degree per hour. This means that for every hour that passed, the temperature of the compound increased by 1 degree.

The units for the rate are degrees per hour, which means that the temperature increased by 1 degree for every 1 hour that passed.

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Answer:

uerooooooooooooooooooooooooooooooooo

Step-by-step explanation:

hwek

Answer:

Step-by-step explanation:

slope is   -60

it's the rate of change... in the distance to the destination

Answer:

1. ≈ 1072,6 ft;

2. ≈ 753,6 ft;

3. ≈ 194,2 ft;

4. ≈ 107,7 ft.

Step-by-step explanation:

1. Use trigonometry:

\( \tan(40°) = \frac{900}{x} \)

Use the property of the proportion to find x:

\(x = \frac{900}{ \tan(40°) } ≈ 1072.6\)

Do the other ones the same way:

2.

\( \tan(37°) = \frac{x}{1000} \)

\(x = 1000 \times \tan(37°) ≈753.6\)

3.

\( \sin(18°) = \frac{60}{x} \)

\(x = \frac{60}{ \sin(18°) } ≈194.2\)

4.

\( \sin(48°) = \frac{80}{x} \)

\(x = \frac{80}{ \sin(48°) } ≈107.7\)

The cost of installation is $120. The linear equation is:

y = 79x + 120

Given:

customers of a satellite dish company must pay for installation of the dish, and a monthly fee for service.

After 6 months, Jack had paid $594

After 11 months he had paid $989

we are asked to solve the linear equation and find the cost of the installation = ?

we have two points:

(6,594) = (x₁,y₁)

(11,989) = (x₂,y₂)

point slope form:

y-y₁ = m(x-x₁)

m = 989-594/11-6

m = 395/5

m = 79

now equation is:

y - 594 = 79(x - 6)

y - 594 = 79x - 474

y = 79x - 474 + 594

y = 79x + 120

hence the cost of the installation is $120

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There are 69300 possible ways of selecting six bottles randomly with two bottles of each variety.

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. In the given question, we have to select 6 bottles randomly with two bottles of each variety,

= ¹⁰C₂× ⁸C₂ × ¹¹C₂

¹⁰C₂= [1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10] / [(1 × 2)(1 × 2 × 3 × 4 × 5 × 6 × 7 × 8)]

= 90/2

= 45

Similarly,  ⁸C₂  = 28

In the same way ¹¹C₂= 55

= ¹⁰C₂× ⁸C₂× ¹¹C₂

= 45 × 28 × 55

= 69300

Therefore, there are 69300 possible ways of selecting 6 bottles with two bottles of each variety.

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