please explain your answer and please make sure you don't make a mistake that will confuse me thankyou

Kristen is attempting to solve the equation \(0=\sqrt{6x}-x\). Hence, option b. is the correct answer.

A radical equation has no solution if the square root of a negative number is involved in the equation. The left-hand side of equation b, √(6x), is always non-negative. But the right-hand side, -x, can be negative. So, there is no value of x that can satisfy the equation.

In other words, there is no real number x that would make the left-hand side equal to the right-hand side, so equation b has no solution.

Hence, Kristen is attempting to solve equation 0 = √(6x) - x.

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The complete question is -

Kristen is solving a radical equation and determines that the equation has no solution. Which equation is Kristen attempting to solve?

a. \(\sqrt{27+6x} =x\)

b. \(0=\sqrt{6x}-x\)

c. \(\sqrt{4-x}+9=0\)

d. \(\sqrt{\frac{x}{8}} = \sqrt{90-x}\)

TRUNCATED to one decimal place, it's 50.2

ROUNDED to one decimal place, it's 50.3

The round-off of 50.272 to 1 decimal place using rules of rounding

numbers are 50.3.

Rounding off numbers means making a number simpler by adjusting it to its nearest place according to certain rules.

Rounding a number to one decimal place means keeping only the first digit after the decimal point and neglecting the rest. In this case, the digit in the second decimal place is 7, which is greater than or equal to 5. As per the rounding rules, if the digit is greater than 5, the preceding digit is increased by 1.

So, 50.272 becomes 50.3 when rounded to one decimal place.

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Answer:

2

Step-by-step explanation:

literally just 2 it's quite simple

The textbook b has the highest median review score of 7, it is the most popular textbook among the three.

To find the most popular textbook among the three, we will find the median review score of each textbook and then compare them. Since each textbook has a different number of reviews, we will find the median using the following steps:

Put all the reviews in numerical order.

Find the middle value. If there is an odd number of reviews, this is the median score. If there is an even number of reviews, take the average of the two middle scores.

To find the median review score of textbook a:

2, 6, 6, 7, 7, 8, 9

Putting the scores in order: 2, 6, 6, 7, 7, 8, 9

The median is the fourth score, which is 7. Therefore, the median review score of textbook a is 7.

To find the median review score of textbook b:

4, 4, 6, 8, 8, 9, 10

Putting the scores in order: 4, 4, 6, 8, 8, 9, 10

The middle two scores are 6 and 8, so we take their average: (6 + 8) / 2 = 7

Therefore, the median review score of textbook b is 7.

To find the median review score of textbook c:

5, 5, 6, 6, 6, 7, 10

Putting the scores in order: 5, 5, 6, 6, 6, 7, 10

The middle score is 6. Therefore, the median review score of textbook c is 6.

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Shape R and Shape S were put in the same group because they are the shapes with perpendicular line segments. Therefore the correct option is option D.

Shape S, a trapezium with one vertical side, and Shape R, a square, both have perpendicular line segments. All of the sides of a square are perpendicular, while one of the non-parallel sides of a trapezium with a vertical side is perpendicular to the base.

Reasons for ruling out other options

Option A, "Shapes without any right angles," is incorrect because Shape R (a square) has four right angles.

Option B, "Shapes with exactly one pair of parallel sides," is incorrect because Shape S (a trapezoid with one vertical side) has only one pair of parallel sides, while Shape R(a square) has two pairs of parallel sides.

Option C, "Shapes without parallel line segments," is also incorrect because all the other shapes P, Q, and T have parallel line segments.

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Answer:

please screen shot it so we cna help you

2hours

Step-by-step explanation:

2 hours

The solution set of -4(x + 3) ≤ -21 is x ≥ 2.25

The inequality is given as:

-4(x + 3) ≤ -21

Divide both sides by -4

x + 3 ≥ 5.25

Subtract 3 from both sides

x ≥ 2.25

This means that the solution set of -4(x + 3) ≤ -21 is x ≥ 2.25

See attachment for the number line

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Answer:

x is equal to positive 5/6 and negative 5/6

Step-by-step explanation:

To solve this, you simply need to take the square root of both sides:

\(x^2 = \frac{25}{36}\\\sqrt{x^2} = \sqrt{\frac{25}{36}}\\x = \pm \frac{5}{6}\)

Answer:

1. 0.37037037037

2. 0.88888888888

3. 1

4. 2.28571428571

Answer:

1) 10/27

2) 8/9

3) 2/2 or 1

4) 16/7 or 2 2/7

Step-by-step explanation:

Whenever fractions are to be be divided, it should first be rewritten with a multiplication sign with the second fraction's reciprocal.

The equation of the line of best fit is ŷ = 0.06x + 2.57

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

Years Since 2000 0 1 2 3 4 5 6 7 8 9

Average Cost ($) 2.59 2.81 2.65 2.67 2.88 2.70 2.85 2.88 3.17 3.24

Next, we enter the above values in a graphing tool;

The calculation summary are as follows

The regression equation is represented as

ŷ = bx + a

Where

b = SP/SSX = 4.94/82.5 = 0.06

a = MY - bMX = 2.84 - (0.06*4.5) = 2.57

So, we have

ŷ = 0.06x + 2.57

Hence, the equation of the line of best fit is ŷ = 0.06x + 2.57

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The total profit made by the company over the course of its first 24 years of operation is $10,016,640

Given,

The annual profit made by a company in first year = $111,000

The increase in profit per year = 24% = $26640

We have to find the total profit made by the company over the course of its first 24 years of operation

Lets take this as an arithmetic progression.

First term, a = 111,000

Common difference, d = 26640

nth term = 24

Sum of nth term,

Sₙ = n/2 [2a + (n - 1) d]

S₂₄ = 24/2 [2 × 111,000 + (24 -1) 26640]

S₂₄ = 12 [222,000 + 23 × 26640]

S₂₄ = 12 [222,000 + 612,720]

S₂₄ = 12 × 834,720

S₂₄ = 10,016,640

That is,

The total profit made by the company over the course of its first 24 years of operation is $10,016,640

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By Compound interest , 2300.01174 is the value of investment.

What does compound interest mean ?

When you receive interest on both the principal amount of your savings and any previous interest, this is known as compound interest. For instance, after a year, if you deposited $1,000 in an account with 1% yearly interest, you would have received $10 in interest. Compound interest allows you to earn 1 percent on $1,010 in Year Two, which equates to $10.10 in interest payments for the year. This is possible because interest is added to the principal in Year Two.

the value of investment after t years = 2000(12.04/12)¹²

    now put t = 3.5

  the value of investment after 3.5  years = 2000(12.04/12)¹²ˣ ³⁵

                                                                   2000(1.00333333)⁴²

                                                            = 2000 * 1.15000587

                                                        = 2300.01174

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Answer:  x=3 y=1

Step by step solution

The equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\) is \(36x + 36y + 36z = 432\).

To find the equation of the plane passing through the points \((0, 6, 6), (6, 0, 6), and (6, 6, 0)\), we can use the point-normal form of the equation of a plane.

Step 1: Find two vectors in the plane.

Let's find two vectors by taking the differences between the given points:

Vector v₁ = \((6, 0, 6) - (0, 6, 6) = (6, -6, 0)\)

Vector v₂ = \((6, 6, 0) - (0, 6, 6) = (6, 0, -6)\)

Step 2: Find the normal vector.

The normal vector is perpendicular to both v₁ and v₂. We can find it by taking their cross product:

Normal vector n = v₁ \(\times\) v₂ = \((6, -6, 0) \times (6, 0, -6) = (36, 36, 36)\)

Step 3: Write the equation of the plane.

Using the point-normal form, we can choose any point on the plane (let's use the first given point, \((0, 6, 6)\)), and write the equation as:

n · (x, y, z) = n · (0, 6, 6)

Step 4: Simplify the equation.

Substituting the values of n and the chosen point, we have:

(36, 36, 36) · (x, y, z) = (36, 36, 36) · (0, 6, 6)

Simplifying further:

\(36x + 36y + 36z = 0 + 216 + 216\\36x + 36y + 36z = 432\)

Therefore, the equation of the plane passing through the given points is:

\(36x + 36y + 36z = 432\)

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Answer: 0.8583

Step-by-step explanation:

Given the following :

Standard deviation (sd) = 1.93

Number of samples (s) = 40

Mean (m) = 2.35

x = 2 and 3

Firstly : find the z_score for both x values

Recall :

Z = (x - m) / (sd/√n)

For x = 2

z = (2 - 2.35) / (1.93/√40)

z = -0.35 / 0.3051597

z = 1.1469400

z = 1.15

For x =3

z = (3 - 2.35) / (1.93/√40)

z = 0.65 / 0.3051597

z = 2.1300322

z = 2.13

Therefore;

P(2<=m<=3) = P(-1.15<z<2.13)

P(z<2.13) - P(z<-1.15)

Using the z - table:

Z = - 1.1 on the vertical and 0.05 horizontal = 0.1251

Z = 2.1 vertically, 0.03 horizontal = 0.9834

0.9834 - 0.1251 = 0.8583

Answer:

b=30

Step-by-step explanation:

The first series is an arithmetic sequence with a common difference 2, for the second series is an arithmetic sequence with a common difference 1.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

For the first sequence:

2, 4, 6, 8, 10

The above sequence represents the arithmetic sequence

The common difference = 4 -2 = 8 - 6 = 2

For the second series:

1, 2, 3, 4, 5

The above sequence represents the arithmetic sequence

The common difference = 2 -1 = 4 - 3 = 1

Thus, the first series is an arithmetic sequence with a common difference 2, for the second series is an arithmetic sequence with a common difference 1.

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Answer:

When we say 'as many as' or 'no more than', we mean 'less than or equal to' which means that a could be less than b or equal to b. But, when we say 'at least', we mean 'greater than or equal to'. Here a could be greater than b or equal to b.

The confidence level cannot be determined without knowing the sample size (n) and the population standard deviation (σ) or the sample standard deviation (s) with the degrees of freedom. Your answer: (a) 90%, (b) 99% and (c) 70%

Let's determine the confidence level for each large-sample one-sided confidence bound:
(a) Upper bound: x + 1.28s/√n
The z-score of 1.28 corresponds to a one-tailed confidence level of 90%. So, the confidence level for this upper bound is 90%.
(b) Lower bound: x - 2.33s/√n
The z-score of 2.33 corresponds to a one-tailed confidence level of 99%. So, the confidence level for this lower bound is 99%.
(c) Upper bound: x + 0.52s/√n
The z-score of 0.52 corresponds to a one-tailed confidence level of approximately 70%. So, the confidence level for this upper bound is 70%.

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Answer:

Todd has 540540 songs in his playlist.

Vlad has 270270 songs in his playlist.

Becca has 162162 songs in her playlist.

Step-by-step explanation:

# of songs Todd has = T

# of songs Vlad has = V

# of songs Becca has = B

1) Todd has twice as many songs in his playlist as Vlad:

T=2V

2) Becca has three times as many songs in her playlist as Todd:

B=3T

3) All three people have a total of 243243 songs in their playlists:

T+V+B=243243

Because T=2V then you can substitute T as 2V in the second equation:

B=3(2V)

B=6V

Now in the final equation, you can substitute everything for V:

2V+V+6V=243243

9V=243243

V=27027

Now substitute for T:

T+1/2T+3T=243243

9/2T=243243

T=54054

Now substitute for B:

1/3B+1/6B+B=243243

3/2B=243243

B=162162

Check answers:

27027+54054+162162=243243

243243=243243

Answer:

1 ⅜

Step-by-step explanation:

⅝ + ¾ = 11/8 or 1 ⅜

i need the answer i need  help plz give the answear and the work hot to do it plz

1) Note that the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water.

2) The equation that represents the relationship between the volume of water in the pool in gallons "V) and the elapsed time in hours, t, since the hose was turned on today is V = 800t + 2000.

Note that to get the right expression above we have to solve for the slope of the graph.

1) To arrive at the answer in 1 above, we only have to examine the y-intercept. since at time (t) =0 the volume of water (gallons) indicated on the graph is 2000 gallons, thus, it is correct to state that:

"the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water."

2) From the graph, we can see the equation must be linear.
That is:

y = mx + b

Where y = V = Volume of Water in the Pool in Gallons

m = Slope

x = t = elapsed time in hours
b = y- intercept = already given as 2000

Thus:

To get m (slope) we need to use the above equation:
m = rise/run = y2-y1/x2-x1

Take
y1 = 6000

y2 = 10,000

x1 = 5

x2 = 10

Substituting the given values, we get:

m = (10,000 - 6,000) / (10 - 5)

m = 4,000 / 5

m = 800

Therefore, the slope of the line passing through the points (5, 6000) and (10, 10,000) is 800.
Having derived m, the full expression is thus given as:

V = 800t + 2000.

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Full Question:
See attached for full question

Answer:

15

Step-by-step explanation:

The lengths of the sides of the triangle with vertices A(2,-1,4), B(-2,3,9), and C(6,4,8) are approximately 10.63, 7.07, and 7.81 units.

To find the lengths of the sides of the triangle, we can use the distance formula in three-dimensional space. The distance formula is derived from the Pythagorean theorem, where the distance between two points P(x₁, y₁, z₁) and Q(x₂, y₂, z₂) is given by:

d(PQ) = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)

Applying this formula to our triangle, we can calculate the lengths of the sides as follows:

1. Side AB:

  AB = √((-2 - 2)² + (3 - (-1))² + (9 - 4)²)

     = √((-4)² + (4)² + (5)²)

     ≈ √(16 + 16 + 25)

     ≈ √57

     ≈ 7.55 units (rounded to two decimal places)

2. Side BC:

  BC = √((6 - (-2))² + (4 - 3)² + (8 - 9)²)

     = √((8)² + (1)² + (-1)²)

     ≈ √(64 + 1 + 1)

     ≈ √66

     ≈ 8.12 units (rounded to two decimal places)

3. Side CA:

  CA = √((6 - 2)² + (4 - (-1))² + (8 - 4)²)

     = √((4)² + (5)² + (4)²)

     ≈ √(16 + 25 + 16)

     ≈ √57

     ≈ 7.55 units (rounded to two decimal places)

Therefore, the lengths of the sides of the triangle ABC are approximately 7.55, 8.12, and 7.55 units.

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Answer:

m<ECB = 65°

Step-by-step explanation:

<ACB and <ACD are vertical angles. That means they are congruent and have equal measures.

m<ECB = 65°

The is specified initial approximation X1  x3 is equal to 5.

We absolutely need to accentuate using the recipe in order to find x3 using Newton's method:

In this particular instance, we are informed that x5 is equal to x2 minus 4 and that X1 equals 1. Because we need to find x3, let's use the given equation to find x2.

We can solve for x2 because we have x5: x2 + 4

As of now we have x2 = x5 - 4 from x2 = x5 - 4. This ought to be added to the Newton's system recipe, and afterward we can find x3:

We ought to portray our ability f(x) and its subordinate f'(x) as Xn+1 = Xn - f(Xn)/f'(Xn).

We can now calculate x3 by using X1 = 1 as our underlying estimate: X2 = X1 - f(X1)/f'(X1) = 1 - ((1)2 + 4 - 1)/(- 1) = 1 - (1 + 4 - 1)/(- 1) = 1 + 4 = 5 In this way, x3 is the same as 5.

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The value of the expression is approximately 1.132. First, we need to convert the angles from degrees to radians because trigonometric functions in calculators typically use radians as input.

To convert degrees to radians, we use the formula: radians = degrees x (π / 180)

So, we have:

 = 38.2° = 0.666 radians (approx.)

B = 146.4° = 2.552 radians (approx.)

Next, we can plug these values into the expression:

2cos(Â) + cos^2(B)

Substituting  and B with their respective values, we get:

2cos(0.666) + cos^2(2.552)

Using a calculator, we can evaluate this expression as follows:

2cos(0.666) + cos^2(2.552) ≈ 1.132

Therefore, the value of the expression is approximately 1.132.

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