Solve the equation 3x2 – 15x + 11 = -2x + 2 to the nearest tenth.

Answer:

Step-by-step explanation: Equations representing direct, inverse, and joint variation are examples of ... When solving problems using rational formulas, it is often helpful to first solve the ... Now let's look at an example using the formula for the volume of a cylinder. ... is V = πr2h, where V is the volume, r is the radius and h is the height of the cylinder

If r represents the radius of a cylinder then 2πr³ can represent D. the lateral area of a cylinder whose height and radius are equal.

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Lateral surface area = 2πrh.

Total surface area = 2πr(h + r).

Given, r represents the radius of a cylinder.

The expression 2πr³ can represent the lateral surface area of a cylinder whose height and radius are equal.

The lateral surface or curved surface area of a cylinder is 2πrh.

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The pattern in y = x² exhibits a nonlinear increase in y as x increases, forming a U-shaped curve, while the pattern in y = 15 + x shows a linear increase in y as x increases at a constant rate.

The patterns in the equations y = x² and y = 15 + x differ in terms of the direction of change. In the equation y = x², the pattern shows an increase in y as x increases.

As x increases from negative to positive values, the corresponding y values also increase, forming a symmetric U-shaped curve. The rate of increase for y becomes steeper as x moves further away from zero.

On the other hand, in the equation y = 15 + x, the pattern shows a linear increase in y as x increases. As x increases, the corresponding y values increase in a straight line.

The rate of increase for y remains constant at one unit per increase in x. This linear pattern reflects a constant upward shift of the graph as x increases.

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Answer:

Step-by-step explanation:

x·(x + 6)·(x - 5)·(x⁵ + x³ + 1) = 0

The value of z* is 1.96 for a 95% confidence level, and the standard error is calculated using the sample size and sample standard deviation,

To construct a 95% confidence interval for a population mean, we need to determine the corresponding z-score that gives us a 95% area under the standard normal distribution curve between -z* and z*.

Using a standard normal distribution table or calculator, we can find that the z-score that corresponds to a 95% confidence level is approximately 1.96.

This means that to construct a 95% confidence interval for the population mean, we would use a z-score of 1.96 in our calculations. The confidence interval would be calculated as:

CI = sample mean ± (z* * standard error)

where z* is 1.96 for a 95% confidence level, and the standard error is calculated using the sample size and sample standard deviation. The resulting interval would contain the true population mean with 95% confidence.

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True when desired information of Census is available for all objects in the population

A census is a study that collects data from every member of a population, making it the most comprehensive form of data collection.

A census can provide highly accurate information on the entire population, without any risk of sampling error.

However, conducting a census can be time-consuming and costly, especially for large populations, and may not always be practical or feasible. In some cases, a sample study may be a more practical approach, as it can provide accurate information with less time and cost.

However, it's important to carefully consider the sampling design to ensure that the sample is representative of the population, in order to minimize sampling bias.

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Answer:

X=75 Bottom is 75, right is 105, up is 70, left is 110.

Step-by-step explanation:

4.4x+30=360

4.4x=330

x=75

Answer:

2/9

Step-by-step explanation:

2(2/3)^2-4(2/3)+2

2(4/9)-8/3+2

8/9-8/3+2

-16/9+2

2/9

in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.

When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.

Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.

Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.

Candidate a assumes that the price effect would be larger than the quantity effect.

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Picard's method is a technique used to approximate the solution to a nonlinear problem.

By following an iterative process and substituting previous approximations into an iterative equation, you can obtain successive approximations of the solution

To obtain the next three successive approximations of the solution to a nonlinear problem using Picard's method, follow these

steps: 1. Start with an initial guess for the solution. Let's call this guess "x0".

2. Use the given nonlinear problem to form an iterative equation of the form x = g(x), where g(x) represents a function involving the previous approximation x.

3. Substitute x0 into the iterative equation to obtain the first approximation, x1 = g(x0).

4. Repeat the process by substituting x1 into the iterative equation to obtain the second approximation, x2 = g(x1).

5. Finally, substitute x2 into the iterative equation to find the third approximation, x3 = g(x2).

By following these steps, you can obtain the next three successive approximations of the solution to the nonlinear problem using Picard's method.

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Answer:

4

Step-by-step explanation:

Answer:

2+2= 4

is very hard I know

THANKS

Answer:

Step-by-step explanation:

You want to isolate x by adding 7 to all 3 parts of the inequality

so:

20 < x < 38

This means that x is between 20 and 38

You would treat the inequalities like = signs but the only thing that changes is if you multiply or divide by a negative then the signs flip.

Answer:

A. 9x2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

1

36

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

1

36

x

y

−

1

9

0

0

1

9

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

5

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

5

8

x

y

−

2

8

5

−

1

2

5

0

0

1

2

5

2

8

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

1

40

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

1

40

x

y

−

1

−

10

0

0

1

−

10

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

0

)

Focus:  

(

0

,

−

0.2

¯

7

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

0.2

¯

7

x

y

−

2

−

3.6

−

1

−

0.9

0

0

1

−

0.9

2

−

3.6

Answer:

2x^2 −12x+17

Step-by-step explanation:

i think i did that right?

The correct answer is: O x(x² + 5) - 6(x + 5)

To determine the factors of the polynomial x³ + 5x² - 6x - 30 by grouping, we can factor out the greatest common factor (GCF) of the first two and the last two terms. In this case, the GCF of the first two terms is x and the GCF of the last two terms is -6. If we factor out x from the first two terms and -6 from the last two terms, we get:

x(x² + 5) - 6(x + 5)

Now we can see that x(x + 5) and -6(x + 5) are binomials that have the same factor (x + 5) in common. This allows us to factor out the common factor x + 5 and get:

(x + 5)(x² - 6)

This is one way of factoring x³ + 5x² - 6x - 30 by grouping.

It's important to note that the polynomial x³ + 5x² - 6x - 30 also has other factorizations.

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Answer:

a. 17xy^2 + -2x^3 es un binomio

Step-by-step explanation:

Tenemos que sumar los terminos que son iguales, pero las letras se ponen en orden alphabetica 9y^2x es igual que 9xy^2

a. 7xy^2 + 9xy^2 + xy^2 + 5x^3 + 2x^3 - 9x^3

suma los que tienen las mismas letras 17xy^2 + -2x^3 es un binomio como tiene dos termos

Las demas son igual

Question:

Solution:

According to the weighted average, and the grade that the person obtained, the grade of each item would be:

TEST AVERAGE:

85 x 0.50 = 42.5

FINAL TEST GRADE:

90 x 0.20 = 18

HOMEWORK

95 x 0.15 = 14.25

CLASS PARTICIPATION

80 x 0.15 = 12

Thus, the total grade is:

42.5 + 18 + 14.25 + 12 = 86.75

that is the total grade would be

86.75 out of a total of 100 points as the maximum grade

The probability that less than or equal to 5 of the 10 independent customers will take more than 3 minutes to check out their groceries is approximately 0.9245.

To calculate this probability, we can use the binomial probability formula. Let's denote X as the number of customers taking more than 3 minutes to check out. We want to find P(X ≤ 5) when n = 10 (number of trials) and p (probability of success) is not given explicitly.

Step 1: Determine the probability of success (p).

Since the probability of each customer taking more than 3 minutes is not provided, we need to make an assumption or use historical data. Let's assume that the probability of a customer taking more than 3 minutes is 0.2.

Step 2: Calculate the probability of X ≤ 5.

Using the binomial probability formula, we can calculate the cumulative probability:

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = C(10, 0) * p^0 * (1 - p)^(10 - 0) + C(10, 1) * p^1 * (1 - p)^(10 - 1) + C(10, 2) * p^2 * (1 - p)^(10 - 2) + C(10, 3) * p^3 * (1 - p)^(10 - 3) + C(10, 4) * p^4 * (1 - p)^(10 - 4) + C(10, 5) * p^5 * (1 - p)^(10 - 5)

Substituting p = 0.2 into the formula and performing the calculations:

P(X ≤ 5) ≈ 0.1074 + 0.2686 + 0.3020 + 0.2013 + 0.0889 + 0.0246

P(X ≤ 5) ≈ 0.9928

Rounding this probability to the nearest hundredth/second decimal place, we get approximately 0.99. However, the question asks for the probability that less than or equal to 5 customers take more than 3 minutes, so we subtract the probability of all 10 customers taking more than 3 minutes from 1:

P(X ≤ 5) = 1 - P(X = 10)

P(X ≤ 5) ≈ 1 - 0.9928

P(X ≤ 5) ≈ 0.0072

Therefore, the probability that less than or equal to 5 customers out of 10 will take more than 3 minutes to check out their groceries is approximately 0.0072 or 0.72%.

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Answer:

a)54 b)48 c)49 d)91

Step-by-step explanation:

here is your answer

MARK ME AS BRILLIANT

Answer:

brainliest plss

Step-by-step explanation:

5p(2p-3)(p+7)=0

p=0

(2p-3)=0

(p+7)=0

p=0

p=3/2

p=-7

Answer:

p = 0, p = ³/₂, p = -7

Step-by-step explanation:

\(\boxed{\begin{minipage}{9 cm}\underline{Zero Product Property}\\\\If\; $a \cdot b = 0$ \;then either \;$a = 0$ \;or\; $b = 0$ (or both).\\\end{minipage}}\)

Given equation:

\(5p(2p-3)(p+7)=0\)

Using the Zero Product Property, set each factor equal to zero and solve for p.

Factor 1

\(\begin{aligned}5p&=0\\5p \div 5&=0 \div 5\\p&=0\end{aligned}\)

Factor 2

\(\begin{aligned}2p-3&=0\\2p-3+3&=0+3\\2p&=3\\2p \div 2&=3 \div 2\\p&=\dfrac{3}{2}\end{aligned}\)

Factor 3

\(\begin{aligned}p+7&=0\\p+7-7&=0-7\\p&=-7\end{aligned}\)

Therefore, p = 0, p = ³/₂, p = -7.

Answer:

A coefficient is a number that is multiplied by a variable or term in an algebraic expression.

Examples:

\(3x\)

\(60x\)

$150,000 is not the correct parental income for the child with an IQ of 110 in this study.

Hi! In the large study examining the relationship between parental income and the IQs of their children, you mentioned that the average income was $90,000 with a standard deviation (SD) of $45,000, the average IQ was 100 with an SD of 15, and the correlation coefficient (r) was 0.50. The data points were plotted and followed a straight line very closely.

To determine if the $150,000 parental income corresponds to the child with an IQ of 110, we can use the information given.

1. Calculate the standard score (z-score) for the child's IQ:
z = (X - average IQ) / SD
z = (110 - 100) / 15 ≈ 0.67

2. Calculate the corresponding parental income for that z-score using the average income and SD of income:
Predicted income = average income + (z * SD)
Predicted income = $90,000 + (0.67 * $45,000) ≈ $120,000

So, the predicted parental income for a child with an IQ of 110 is $120,000, which is not equal to $150,000. Therefore, $150,000 is not the correct parental income for the child with an IQ of 110 in this study.

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Answer:m

Step-by-step explanation:

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:

Yes! You got it correct. The answer is x > -5.7333...

Step-by-step explanation:

-1.5x - 3.1 < 5.5   (Add 3.1 to both sides to get x on one side)

-1.5x < 8.6   (Divide both sides by -1.5 to get x by itself)

x > -5.7333...   (Change the sign to > because you are dividing by a neg.)

Answer:

no one is equivalent to it

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.

Given information and corresponding atomic propositions:

We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:

r: Rabbits have been seen in the area.

b: Berries are ripe along the path.

w: Walking on the path is safe.

Now, let us formalize each of the given statements in terms of these atomic propositions:

a) Berries are ripe along the path, but rabbits have not been seen in the area.

b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.

c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.

d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.

e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.

The formalizations in terms of atomic propositions are:

a) b ∧ ¬r.b) ¬r ∧ w ∧

b.c) (b → w) ∧ (¬r → w).

d) ¬w ∧ ¬r ∧

b.e) (¬r ∧ ¬b) → w.b ∧

Berries are ripe along the path, but rabbits have not been seen in the area.

This is formalized by using the ∧(logical and) operator.

(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.

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Answer:

48,36,27,81/4,243/16

Step-by-step explanation:

a1 = 48

a5=an=243/16

n=5

now

r= common ratio

48r⁴=243/16

or, r⁴ = 243/16/48

or, r⁴ = 243/16 × 1/48

or, r⁴ = 81/256

or, r = 3/4

so

a2 = 48×3/4

= 36

a3 = 36×3/4

=27

a4= 27×3/4

= 81/4