I have to order it from least to greatest in absolute value, and i dont get it can anyone help?

Answer:

TRQ=47 degrees

TRS=133 degrees

Step-by-step explanation:

straight line=180

3x+5+10x-7=13x-2

180+2=13x-2+2

182=13x

x=14

3(14)+5=42+5=47 degrees

10(14)-7=140-7=133 degrees

47+133=180 yes.

Answer:

27

Step-by-step explanation:

You can easily find it by counting how much line are between point and and point B

there are 27 lines (including the line on point B)

The rate of flow of gasoline while a customer is pumping it into a gas tank can vary and is dependent on factors such as the type of fuel pump, the condition of the gas tank, and other variables.

The rate of flow of gasoline while a customer is pumping it into a gas tank can vary depending on several factors, including the type of fuel pump being used and the condition of the gas tank.

Typically, the rate of flow is measured in terms of volume per unit time, such as liters per minute.

The rate of flow can be influenced by factors such as the size of the nozzle, the efficiency of the pump, and any restrictions or obstructions in the fuel system.

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For part A, first of all, you need to multiply both sides by 2.

4x - 1 = 2x + 14

Then, you need to add 2 to both sides.

4x = 2x + 15

Now, you need to subtract 2x from both sides.

2x = 15

Finally, you need to divide both sides by 2.

x = 7.5

So the answer to part A is 7.5

Now for part B.

First of all, you need to multiply both sides by 3.

9x + 6 = 2x + 13

Next, you need to subtract 6 from both sides.

9x = 2x + 7

Now, you need to subtract 2x from both sides.

7x = 7

Finally, you need to divide both sides by 7.

x = 1

So the answer to part B is 1

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

\(60 + 55 + 105 + x = 360\)

\(220 + x = 360\)

\(x = 140\)

Based on the simple linear regression results for the car's mileage, we can estimate the effect of octane levels on the car's performance.

Using a 71% confidence interval and rounding to 3 decimal places, we can say with some confidence that the impact of octane levels on the car's mileage is between -0.045 and 0.102.

This means that while there is some correlation between octane levels and mileage, the effect is relatively small and falls within a narrow range of values. It's worth noting that there may be other factors at play that influence the car's performance, so this result should be interpreted with caution.

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Answer:180

Step-by-step explanation:

Answer:

X = 6y-2 is the easier substitution for another equation because all you have to do is just plug in the equation into the value of x.

N = (-2)i + (- 4)j and ||N|| = √20.

To find the direction N from P0(1, 2) in which the function f = 1 - X^2 - Y^2 increases most rapidly, we need to compute the gradient of the function (∇f) at point P0. The gradient is a vector that points in the direction of the greatest rate of increase.

∇f = <-2X i - 2Y j>
At P0(1, 2), we have:
∇f = <-2(1) i - 2(2) j> = <-2 i - 4 j>

So, the direction N is -2 i - 4 j.

To compute the magnitude of the greatest rate of increase (||N||), we use the formula:
||N|| = √((-2)^2 + (-4)^2) = √(4 + 16) = √20

Therefore, N = (-2)i + (- 4)j and ||N|| = √20.

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The solution is x > 0

1 is a particular solution

Given the inequality:

5x - (x + 2) > -5(1 + x) + 3

This becomes

5x - x - 2 > -5 - 5x + 3

4x - 2 > -5x - 2

4x + 5x > -2 + 2

9x > 0

x > 0

All numbers greater than 0 are solutions

1, for instance, is a solution because it satisfies the inequality

A 98% confidence interval for the proportion of New York state union members who favor the Republican candidate is constructed using: p ± zsqrt(p(1-p)/n). Substituting, we get (0.3051, 0.4416), or approximately (a) 0.304p0.442.

To construct a 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate, we can use the following formula:

p ± z*sqrt(p*(1-p)/n)

where p is the sample proportion, n is the sample size, and z* is the critical value from the standard normal distribution corresponding to a 98% confidence level, which is approximately 2.33.

Substituting the values from the problem, we get:

p ± 2.33*sqrt(p*(1-p)/n)

p = 112/300 = 0.37333

n = 300

Substituting these values, we get:

0.37333 ± 2.33*sqrt(0.37333*(1-0.37333)/300)

Simplifying, we get:

0.37333 ± 0.0682

Therefore, the 98% confidence interval for the true population proportion of all New York state union members who favor the Republican candidate is:

(0.3051, 0.4416)

Rounding to three decimal places, the answer is (a) 0.304p0.442.

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Answer:

f is 14 And 8 is E

Step-by-step explanation:

so you have to solve the first step of 14 and 8 it is 90 dress angle

If f(x) = sin(x), then the Mean Value Theorem guarantees that somewhere between pi/6 and pi/2, f′(x) is equal to C) 3/2pi

According to the mean value theorem, there must be at least one point

(c, f(c)) on the curve where the tangent is parallel to the secant going through the two supplied points for every function f(x) whose graph goes through the given points (a, f(a)), and (b, f(b)).

We know, f'(c) = [f(b) - f(a)]/(b - a).

Therefore, f'(c) = [sin(π/2) - sin(π/6)]/(π/2 - π/6).

f'(c) = [1 - 1/2]/2π.

f'(c) = (1/2)/(2π/6).

f'(c) = = (1/2)×6/2π.

f'(c) = = 3/2π.

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Answer: A

Step-by-step explanation:

Origin is at 0,0, and the arrow is pointing towards the center which is 0,0.

the factored form of the expression with the common factor of 2a is: 2a(5a^(4/3) - 4a^(5/2))

The common factor in this expression is 2a. To factor it out, we can divide each term by 2a:

10a^(7/3) ÷ 2a = 5a^(4/3)
- 8a^(7/2) ÷ 2a = -4a^(5/2)

Now we can write the expression as:

2a(5a^(4/3) - 4a^(5/2))

To factor out the common factor of 2a from the given expression, follow these steps:

1. Identify the common factor: In this case, the common factor is 2a.
2. Divide each term by the common factor:

10a^(7/3) ÷ 2a = 5a^(4/3)

8a^(7/2) ÷ 2a = 4a^(5/2)

3. Write the factored expression:

2a(5a^(4/3) - 4a^(5/2))

Your answer: 2a(5a^(4/3) - 4a^(5/2))

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Answer:

240,600

Step-by-step explanation:

10⁵=100,000

2.4×100,000=240,000

10²=100

6×100=600

240,000+600=240,600

Answer:

\(AT \alpha T() = R_{f} \: + \: M_{f}\)

\(Verizon() = R_{f} \: + \: M_{f}\)

\(R_{f} =one \: time \: registration \: fee \: \\ M_{f} = monthly \: fee\)

Step-by-step explanation:

AT&T charge fee = $15.00 + $35.00

Verizon charge fee = $25.00 + $75.00

then the function for AT&T is:

\(AT \alpha T() = R_{f}(15) \: + M_{f}(35)\)

and the function for Verizon is:

\(Verizon() = R_{f}(25) \: + M_{f}(75)\)

where:

\(R_{f} =one \: time \: registration \: fee \: \\ M_{f} = monthly \: fee\)

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, then

y = 2x + c ← is the partial equation

To find c substitute (3, - 6) into the partial equation

- 6 = 6 + c ⇒ c = - 6 - 6 = - 12

y = 2x - 12 ← equation of line

Answer:

y=2x-12

Step-by-step explanation:

slope=m=y-(-6)/x-3

2=y+6/x-3

y+6=2(x-3)

y=2x-12

The factors of the equation are 2(3p - 2) and (p + 1), the possible solutions are p = 2/3 and p = -1.

To factor the quadratic equations and determine all possible solutions for each given variable:

1. x2 + 3x + 2 = 0

The factors of the equation are (x + 2) and (x + 1).

The possible solutions are x = -2 and x = -1.

2. y2 + 18y + 80 = 0

The factors of the equation are (y + 10) and (y + 8).

The possible solutions are y = -10 and y = -8.3. a2 – 4a - 5 = 0

The factors of the equation are (a - 5) and (a + 1).

The possible solutions are a = 5 and a = -1.4. x2 – 5x - 24 = 0

The factors of the equation are (x - 8) and (x + 3).

The possible solutions are x = 8 and x = -3.5. y2 – 6y - 40 = 0

The factors of the equation are (y - 10) and (y + 4).

The possible solutions are y = 10 and y = -4.6. a2 – 11a + 30 = 0

The factors of the equation are (a - 6) and (a - 5).

The possible solutions are a = 6 and a = 5.7. p2 – 9p + 8 = 0

The factors of the equation are (p - 8) and (p - 1).

The possible solutions are p = 8 and p = 1.8. y2 + 14y + 48 = 0

The factors of the equation are (y + 6) and (y + 8).

The possible solutions are y = -6 and y = -8.9. a2 + 17a + 72 = 0

The factors of the equation are (a + 9) and (a + 8).

The possible solutions are a = -9 and a = -8.10. x2 - 12x - 45 = 0

The factors of the equation are (x - 15) and (x + 3).

The possible solutions are x = 15 and x = -3.11. 4x2 - 14x + 6 = 0

The factors of the equation are 2(2x - 1) and (x - 3).

The possible solutions are x = 1/4 and x = -1.20. 6p2 – 4p - 10 = 0

The factors of the equation are 2(3p - 2) and (p + 1).

The possible solutions are p = 2/3 and p = -1.

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Answer:

5.2

Step-by-step explanation:

Answer:

\(p = 25(3)^n\)

Step-by-step explanation:

Given

Round 0 1 2 3

Points 25 75 225 675

Required

Determine the equation

Let n = rounds and p = points.

So, we have:

\((n_1,p_1) = (0,25)\)

\((n_2,p_2) = (1,75)\)

\((n_2,p_2) = (3,225)\)

The above shows a geometric progression.

So, we solve using

\(p = ab^n\)

In \((n_1,p_1) = (0,25)\)

n = 0 and p = 25

Substitute these values in \(p = ab^n\)

\(25 = ab^0\)

\(25 = a*1\)

\(25 = a\)

\(a = 25\)

In \((n_2,p_2) = (1,75)\)

n = 1 and p = 75

Substitute these values in \(p = ab^n\)

\(75 = ab^1\)

\(75 = ab\)

Substitute 25 for a

\(75 = 25*b\)

Make b the subject

\(b = \frac{75}{25}\)

\(b = 3\)

So, we have:

\(a = 25\) and \(b = 3\)

The equation \(p = ab^n\) becomes

\(p = 25(3)^n\)

     Equation representing the number of points 'P' in 'n' games will be \(P=25(3)^{n}\).

       There is a common ratio of 'r' in each successive term to the

       previous term.

       Therefore, it's a geometric sequence.

       \(T_n=ar^{n-1}\) (For n ≥ 1)

       Here, \(a=\) First term

       \(r=\) Common ratio

       \(n=\) nth term

Given in the table,

        \(r=\frac{75}{25}=3\)

Explicit formula of the sequence will be,

\(P=25(3)^{n}\) [For n ≥ 0]

       Therefore, equation representing the number of points 'P' in 'n' games will be \(P=25(3)^{n}\).

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The difference in ages of Marcelle and Megan is 95/12 as an improper fraction and as a mixed number is 7 whole number and the fraction 11/12.

We shall convert the fractions to have similar denominators and simply apply subtraction for the numerators as follows:

Marcelle's age = 15 whole number, 1/2

Marcelle's age = 31/2

Megan's age = 7 whole number, 7/12

Megan's age = 91/12

LCM of 2 and 12 is 12 so;

Marcelle's age = 31/2 × 12/12

Marcelle's age = 186/12

difference in their age (186 - 91)/12

difference in their age = 95/12

Therefore, the difference in the ages of Marcelle and Megan is the fraction 95/12 or as a mixed number is 7 whole number and the fraction 11/12

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The experimental probability of the arrow stopping over Section 2 based on spinning the spinner 80 times is 36/80.

To calculate the experimental probability, we look at the number of times the desired outcome (arrow stopping over Section 2) occurs and divide it by the total number of trials (spins of the spinner). In this case, the arrow stopped over Section 2 for 36 out of the 80 spins.

Experimental probability is a measure of how likely an event is based on actual observations or experiments. It provides an estimate of the probability of an event occurring in real-world situations.

In this scenario, the experimental probability of the arrow stopping over Section 2 is 36/80, which simplifies to 9/20 or 0.45. This means that, based on the observed data from the 80 spins, there is a 45% chance of the arrow landing on Section 2 in future spins.

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The correct answer is option c. There are no real-valued functions that have a domain of all real numbers and a range of all integers.

A function maps an input (or domain) to a unique output (or range). In order for a function to have a domain of all real numbers, it must take any real number as an input and provide a unique output. However, for a function to have a range of all integers, it must be the case that every output is an integer.

Since the real numbers are not countable and the integers are countable, there can be no function that maps every real number to a unique integer. In other words, there is no one-to-one correspondence between the real numbers and the integers, which means that it is not possible to find a function that maps every real number to an integer.

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Complete Question:

which function(s) has the following properties? there may be more than one answer, so select all that apply.

Answer:

\(60cm^{2}\)

Step-by-step explanation:

The area is the total space taken up by a flat (2-D) surface or shape. The area is always measured in square units.

If we look at this shape, we can split it into 3 separate shapes (shown below)

The top rectangle in blue has a length of 2cm and a width of 10cm. We know the width is 10 because if we were to look at the width of the yellow rectangle and add on the original width you would get:

Now that we know that the length is 2 and the width is 10, we can use the following formula to solve for the area of a rectangle:

(Where l = length and h = height)

Inserting 2 in for our length and 10 for our width:

Therefore, the area of the blue rectangle is \(20cm^{2}\).

Looking at the bottom green rectangle, it has the same dimensions as the blue, so it will also have an area of \(20cm^{2}\).

The same goes for the yellow rectangle. It has a length of 10 and a width of 2. These are also the same dimensions as before, so we can once again conclude that the area of the yellow rectangle is \(20cm^{2}\)

We have 3 rectangles with areas of \(20cm^{2}\) each, so we can use either one of these expressions to solve for the entire area:

Or we can use:

Therefore the area of the entire shape is \(60cm^{2}\)

a. The radius of the cylinder is 4.34 inches.

b. The radius will change in opposite to the height.

Since, We know that;

One of the most fundamental curvilinear geometric shapes, the cylinder, has long been thought of as a three-dimensional solid. In basic geometry, it is regarded as a prism with a circle as its base.

a. We are given volume of cylinder as 894 cubic inches and the height is 10.8 inches.

So, we get

⇒ Volume = πr²h

⇒ 692 = 3.14 × r² ×  11.4

⇒ 692 = 35.8 r²

⇒ r² = 19.33

⇒ r  = 4.34 inches

b. If the height of the cylinder is​ changed, but the volume stays the​ same, then the radius will change inversely. This means with increase in height, radius will decrease and vice versa.

Hence, the required solution have been obtained.

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