Evaluate the integral 59 dx x + 8 (Express numbers in exact form. Use symbolic notation and fractions where needed. Use the symbol o for infinity.) 00 19 dx X + 8 = 00 Determine whether the series Ž

The output of the function can be calculated by plugging in 2 for x and evaluating the equation:\(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

The Common Core standards for Pre-Calculus focus on the study of functions and their applications, as well as the development of a deeper understanding of the algebraic and geometric principles in the mathematical field. One of the core concepts covered in Pre-Calculus is the concept of polynomial functions. A polynomial function is an expression made up of terms that involve only constants, variables, and exponents. It is represented by the equation \(f(x) = ax^n + bx^n-1 + cx^n-2 + … + z\), where a, b, c, …, z are constants and n is a non-negative integer. To find the value of a polynomial function at a given value of x, the equation can be evaluated by plugging in the x value and calculating the output. For example, if a polynomial function is represented by the equation f(x) = 2x^3 + 5x^2 - 7x + 4, and the x value is 2, then the output of the function can be calculated by plugging in 2 for x and evaluating the equation: \(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

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Complete question:

What is the output of the polynomial function f(x) = 2x^3 + 5x^2 - 7x + 4 when x = 2?

Step-by-step explanation:

Use the quadratic formula

=

−

±

2

−

4

√

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

2

2

+

6

+

4

=

0

2x^{2}+6x+4=0

2x2+6x+4=0

=

2

a={\color{#c92786}{2}}

a=2

=

6

b={\color{#e8710a}{6}}

b=6

=

4

c={\color{#129eaf}{4}}

c=4

=

−

6

±

6

2

−

4

⋅

2

⋅

4

√

2

⋅

2

x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}

x=2⋅2−6±62−4⋅2⋅4

brainliest and follow and thanks

The probability is 0.4647.

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The best estimate for the cost per pound is $1.29.

Option B is the correct answer.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the two coordinates.

(10, 13) and (4, 5)

Now,

Slope:

= (5 - 13 ) / (4 - 10)

= -8 / -6

= 4/3

= 1.3

Thus,

The cost per pound is $1.3

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Answer:

200 degrees.

Step-by-step explanation:

By theorem of inscribed angle...

The measure of an inscribed angle is half the measure of the intercepted arc. [Theorem]

therefore, m(angle J) = half of m(arc CDE)

therefore, m(arc CDE) = 2 * m(angle J)

therefore, m(arc CDE) = 2 ( 100)

therefore, m(arc CDE) = 200 degrees.

it's tooo easy

answer -1296

Answer:

240

Step-by-step explanation:

Leroy works by selling electronics

He earns 8% commission

He sells 3000 in electronics

Therefore the commission can be calculated as follows

= 3000× 8/100

= 3000×0.08

=

Hence the commission is 240

f(2) = -3

Step-by-step explanation:

f(x) = x - 5

f(2)) = (2) - 5 = -3

Ellen can make a maximum of 6 batches of Cardamom cookies with her 2 fluid ounces of cardamom.

Ellen has 2 fluid ounces of cardamom in a jar. Her recipe requires 3/10 of a fluid ounce of cardamom for each batch of cardamom cookies.

We can use division to find the number of batches of cardamom cookies that Ellen can make with all of her cardamom:

2 fluid ounces ÷ (3/10 fluid ounce per batch) = (2/1) ÷ (3/10)

= (2/1) x (10/3)

= 20/3

= 6 2/3

Therefore, Ellen can make 6 batches of cardamom cookies with her 2 fluid ounces of cardamom, with 2/3 of a batch remaining.

Since she cannot make a fraction of a batch, Ellen can make a maximum of 6 batches of cardamom cookies with her 2 fluid ounces of cardamom.

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Answer:

15 times i think

Step-by-step explanation:

Answer:

x*x-81=0

x*x=81

x=√81

x=9

The standard deviation of the data set will increase by a factor of 10. This is because standard deviation measures how much variation or dispersion exists from the mean of a data set. Adding 10 to every value of the data set will increase the overall spread of the data and thus increase the standard deviation.  

To prove this mathematically, let's consider a data set A with mean M and standard deviation SD. Let's add 10 to every value of the data set to get a new data set B. The mean of set B is M+10 and the standard deviation of set B is SD'.   The formula for SD' is:  

SD':\(\sqrt{(x_{1} -(M+10))^{2} +(x_{2} -(M+10))^2+ (x_{3}-(M+10))^2 +...+ (x_{n}-(M+10))^2)/n }\) We can simplify this by substituting the values for the xi:

 SD' =\(\sqrt{(((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n) }\)  Now let's consider the original data set A and its standard deviation SD:

 SD =\(\sqrt{(((x_{1}-M)^2 + (x_{2}-M)^2 + (x_{3}-M)^2 +...+ (x_{n}-M)^2)/n) }\) ,We can substitute the values for xi in this formula as well:  

SD= \(\sqrt{ (((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n)}\)  If we compare SD and SD', we can see that they are identical, except that the value of M has been replaced with M+10. This means that when we add 10 to every value of the data set, the standard deviation increases by a factor of 10.

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Answer:

y = \(\frac{2}{5}\) x - 3

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 = \(\frac{2}{5}\) and c = - 3 , then

y = \(\frac{2}{5}\) x - 3 ← equation of line

Answer:

formula = y = mx + b

y = 2/5x - 3

Step-by-step explanation:

The probability cannot be determined without additional information about the arrival rate of bikes.

The probability of exactly 20 red bikes arriving within the first hour and exactly 500 bikes (of any color) arriving within the first three hours cannot be determined without additional information.

To calculate the probability, we would need to know the arrival rate of bikes per hour and the distribution of red bikes among all bikes. This information is necessary to estimate the likelihood of observing 20 red bikes within one hour and 500 bikes (of any color) within three hours.

The probability would depend on various factors, such as the overall arrival rate, the proportion of red bikes, and any specific patterns or distributions in the bike arrivals. Without such information, it is not possible to provide a precise probability.

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Answer:

x=1/6

Step-by-step explanation:

cytktcyrcuhvoui

Answer:

1st

Step-by-step explanation:

The two triangles are similar by AA

Firstly, we can see that angle LKM and QKR are congruent as they are vertical angles.

The second set can be identified by noticing that RM is a transversal through 2 parrallel lines LM and QR. That manes QRK, and LMK alternate interior angles, showing that the angles are congruent. Hence similarity by AA

Answer: The standard answer would be 4.612258099 × 10.

Step-by-step explanation: Pls give me brainliest. It might help w/ my depression. :\

Answer subtract 5, add 6

Step-by-step explanation:

8-5=3

3+6=9

9-5=4

and so on

The system of equation has no solution because x cannot be found.

System of equation can be solved using various method such as substitution method, elimination method and graphical method.

Therefore, let's solve the system of equation using substitution method.

-5x + 5y = 10

y = x + 2

Let's substitute the value of y in equation(i)

-5x + 5y = 10

-5x + 5(x + 2) = 10

-5x + 5x + 10 = 10

0 + 10 = 10

10 = 10

Therefore, the system of equation has no solution.

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The expression which is equivalent to the given expression; 3(-5h-9) + 2 as required in the task content is; -15h + 25.

It follows from the task content that the expression which is similar to the given expression; 3(-5h-9) + 2 is to be determined.

Since the given expression is; 3(-5h-9) + 2; we have that;

By solving the parentheses by the distributive property;

-15h - 27 + 2

= -15h - 25.

Ultimately, the equivalent expression is; -15h - 25.

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Answer:   0.95  

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Answer:

1.00

Step-by-step explanation:

1.00

The probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively, in a drawing of 200 people in contest that no one win the prize is equals to 0.0000001269.

Total number of people present= 200

so, total possible outcomes= 200

We have to determine the probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively.

The number of favourable outcomes for winning first prize = 1

So, probability that abby win the first prize = \(\frac{1}{200} \)

The number of favourable outcomes for winning second prize = 1

So, probability that barry win the second prize = \(\frac{1}{199} \)

The number of favourable outcomes for winning third prize = 1

So, probability that sylvia win the third prize = \(\frac{1}{198} \)

Now, total probability that no one can win more than one prize = \(\frac{1}{200} × \frac{1}{199} × \frac{1}{198} \)

= 0.0000001269

Hence, required probability value is 0.0000001269.

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Complete question :

what is the probability that abby, barry, and sylvia win the 1st, 2nd, 3rd prizes resprctively, in a drawing of 200 people enter the contest no one can win more than one prize.

To compare the distribution of carbohydrates in adult and child cereals, we can analyze the data on grams of carbohydrates in a serving of cereal. Here's how you can do it:

1. Separate the cereals into two groups: adult cereals and child cereals. This can be done based on the target audience specified by the cereal manufacturer.

2. Calculate the measures of central tendency for each group. This includes finding the mean (average), median (middle value), and mode (most common value) of the grams of carbohydrates for both adult and child cereals. These measures will help you understand the typical amount of carbohydrates in each group.

3. Compare the means of carbohydrates between adult and child cereals. If the mean of carbohydrates in adult cereals is significantly higher or lower than in child cereals, it indicates a difference in the average amount of carbohydrates consumed in each group.

4. Examine the spread of the data in each group. Calculate the measures of dispersion, such as the range or standard deviation, for both adult and child cereals. This will give you an idea of how much the values of carbohydrates vary within each group.

5. Visualize the distributions using graphs or histograms. Plot the frequency of different grams of carbohydrates for both adult and child cereals. This will help you visualize the shape of the distributions and identify any differences or similarities.

By following these steps, you can compare the distribution of carbohydrates in adult and child cereals based on the provided data.

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Answer:

4500x20

Step-by-step explanation:

It will give you your answer

Answer:

1 2 1 2 3 4 5

Step-by-step explanation:

All whole numbers are not negative, decimals, or fractions.

The null hypothesis get rejected comparing the 95% confidence interval to the proportion of the given central valley residents and bay area residents .

As given in the question,

Total number of voters in California = 7525

x₁ = Number of voters of central valley residents approved California legislature

   = 68

n₁ = Total number of voters of central valley residents

   = 200

x₂ = Number of voters of bay area residents approved California legislature

   = 156

n₂= Total number of voters of bay area residents

   = 300

p₁ = proportion of voters of central valley

p₂= proportion of voters of bay area

p₁ = x₁/ n₁

   = 68/200

   = 0.34

p₂ = x₂/n₂

    = 156/300

    = 0.52

Standard error = √p₁(1 -p₁) / n₁ + p₂( 1- p₂)/n₂

                        = √0.34(1-0.34) / 200 + 0.52(1-0.52)/ 300

                        = √0.001122 + 0.000832

                        = 0.044

\(p_{w}\) = (68 + 156 )/ (200 + 300)

   = 0.448

\(q_{w} = 1- p_{w}\)

    = 1 - 0.448

    = 0.552

null hypothesis p₁ - p₂ = 0

z = ( 0.52 - 0.34 ) - 0/ √(0.448)(0.552)( 1/200 + 1/300)

  = 4

Tabular value for confidence interval 95% = 1.96

4 > 1.96

We reject the null hypothesis.

Therefore, the difference of proportion of central valley residents and the bay area residents rejection of null hypothesis as per given 95% confidence interval.

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It can be deduced that Yuri’s motivation behind buying the pricier pair is D. conspicuous consumption.

Conspicuous consumption simply means when a individual buys good in order to show that he or she had the wealth.

Yuri’s motivation behind buying the pricier pair is just to simply show that he's wealthy.

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Answer:

D. conspicuous consumption

Step-by-step explanation:

Got it right on edge

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{2 {x}^{2} + 5x + 2}}}}}\)

Step-by-step explanation:

\( \sf{(2x + 1)(x + 2)}\)

Use distributive property

\( \longrightarrow{ \sf{2x(x + 2) + 1(x + 2)}}\)

\( \longrightarrow{ \sf{2 {x}^{2} + 4x + x + 2}}\)

Collect like terms

\( \longrightarrow{ \sf{2 {x}^{2} + 5x + 2}}\)

Hope I helped!

Best regards! :D

Answer:

The best estimate is -2.64

Step-by-step explanation:

To get the estimate value we are rounding all values to the nearest hundredth

You use BOMDAS/PEMDAS to do this expression

(34/8 - 16/3) - 14/9

= 4.25 - 5.33 - 14/9

= 4.25 - 5.33 - 1.56

= -1.08 - 1.56

= -2.64