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The value of the function f(x) = -16x³ + 68x + 2 for 2f(x) is - 452.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -16x³ + 68x + 2

Now,

Multiply 2 on both sides.

2f(x) = -32x³ + 136x + 4

Substitute x = 3.

2f(3) = -32 x 3³ + 136 x 3 + 4

2f(3) = -32 x 27 + 136 x 3 + 4

2f(3) = -864 + 408 + 4

2f(3) = -452

Thus,

The value is -452.

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x>-6 there u go

Step-by-step explanation:

Answer: hb=8.4cm

Step-by-step explanation:

Using the formula

A=hbb

2

Solving forhb

hb=2A

b=2·67.2

16=8.4cm

Sherina should have added 56 to both sides of the equation.

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

Sherina wrote and solved the equation, x minus 56 = 230 and obtained x = 174:

Sherina’s error is that she should have added 56 to both sides of the equation.

To solve for x in the equation, you need to add 56 to both sides of the equation. That is:

x - 56 = 230

x -56 + 56 = 230 + 56

x = 230 + 56

x = 286

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Answer:

The answer is D (Sherina Should of have added 56 to both sides of the equation.)

Step-by-step explanation:

In this type of math, subtraction and addition are switched. I know that may be confusing.

Example:

x minus 42 - 88

You can do this:    42 + 88 = 130  

Your answer = x  

x = 130

Answer:

B. ⊄

Step-by-step explanation:

There is no Tuesday in the set to the right, so the set to the left is not a subset of the set to the right.

Answer: B. ⊄

The number of possible outcome is 4 ( option C)

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability = Sample space / total possible outcome

In 2 free throws of either missing or scoring.

Represent missing by M and scoring by S

The outcome of the two throws can be:

MS , SM, SS, MM

Therefore the total possible in outcome is 4

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Therefore , the solution of the given problem of fraction comes out to be   0.25 inches per hour average rainfall per hour.

To represent a whole, any number of equal sums or decimals can be utilized. The quantity of a particular size is expression as a fraction in standard English. 8, 3/4. Fractions are included in wholes. In mathematics, the fraction to numerator ratio is used to represent numbers. All of these fractions of integers are simple fractions. A challenging fraction has a percent in the denominator. because actual fractions have different calculations, numerators, and numerators.

Here,

Given :

=> 6 1/2 hours or 13/2 hours

=> 6.5 hours

7/8 pf an inches.

So,

the average rainfall per hour is :

=> 7/8 / 3.5

=> 0.25 inches per hour

Therefore , the solution of the given problem of fraction comes out to be   0.25 inches per hour average rainfall per hour.

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Answer:

Step-by-step explanation: nmbgbhj ,vmxhvgvkhchvc vhkyfdcxvgch cggcfglfflfvhghghjb

The area of the given Trapezoid is calculated as; 42.5 m².

A trapezoid is defined as a quadrilateral with four sides where two sides are parallel to each other.

The parameters of the trapezoid are;

Short base length = 3 m

Height = 5 m

Large base length = 4 + 3 + 7 = 14 m

Thus;

Area of a trapezoid = 1/2 * (Short base + Large base) * h

Area = 1/2 * (3 + 14) * 5

= 1/2 * 17 * 5

= 42.5 m²

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F(x) = x^2 + 8x^3 + k

End behavior: As x approaches positive or negative infinity, F(x) approaches positive infinity.

Maximum/minimum: There is no global maximum or minimum without more information about k.

x-intercepts: There are no x-intercepts for this function.

Restrictions on domain and range: No restrictions specified.

F(x) = x^6 + kx^4 - 9x^2 - 27

End behavior: As x approaches positive or negative infinity, F(x) approaches positive infinity.

Maximum/minimum: There is no global maximum or minimum without more information about k.

x-intercepts: There are no x-intercepts for this function.

Restrictions on domain and range: No restrictions specified.

f(x) = -1/2x^7 - 441x^3 + k

End behavior: As x approaches positive or negative infinity, f(x) approaches negative infinity.

Maximum/minimum: There is no global maximum or minimum without more information about k.

x-intercepts: There are no x-intercepts for this function.

Restrictions on domain and range: No restrictions specified.

The number of turns and the maximum and minimum number of x-intercepts for this type of function can't be determined without a graph.

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The measure of the missing angle in the hexagon is 92°.

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments are referred to as its edges or sides.

The figure has six sides so it is a hexagon and we know the sum of all the interior angles in a hexagon is 720°.

Therefore, 142° + 169° + 59° + 131° + 127° + x = 720°.

x + 628° = 720°.

x = 720° - 628°.

x = 92°.

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The values of each variable in the parallelogram are given as follows:

For a parallelogram, the two sides that are divided by the intersection point of the diagonal have the same length, hence the relations are given as follows:

The second bullet point already gives the value of m, which is of m = 8.

For the first bullet point, we must solve it to obtain the value of variable k, as follows:

k + 4 = 11

k = 11 - 4

k = 7.

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D) On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given, Jacqueline reads 25 pages every night. Here y is the total number of pages that Jacqueline has read after x days.

Since she reads 25 pages every day and she starts with 0 pages.

Thus, the Total number of pages she reads and a number of days have a proportional relation.

she reads 25 pages a night Meaning that the total number of pages Jacqueline has read (Variable Y) = 25 pages a night (x)

therefore, The correct answer is) D.  Because on the graph you can see that it increases by 25 each day which follows the equation Y=25x.

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The mass of the chemicals at the end of the experiment is between 54.7 g and 54.71 g.

The lower bound for the mass of the chemicals at the end of the experiment is

            = 62 - 7.3

            =54.7 g.

The upper bound for the mass of the chemicals at the end of the experiment is 62 - 7.3 + 0.01 = 54.71 g.

Therefore, the mass of the chemicals at the end of the experiment is between 54.7 g and 54.71 g.

Note: The rounding to 2 significant figures means that the mass of the chemicals could be slightly different from the values given, but the difference would be less than 0.01 g.

What is lower bound?

The lowest number that can be rounded to obtain an estimated value is referred to as the lower bound (LB).

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The confidence interval provides evidence that the true mean volume is likely to fall within a certain range, but it does not provide conclusive evidence that the true mean volume is equal to 12 ounces.

A confidence interval is a range of values that is likely to contain the true population mean with a certain level of confidence, usually 95%.

When it comes to the question of whether the confidence interval provides convincing evidence that the true mean volume is 12 ounces, the answer is no, it does not provide conclusive evidence.

The confidence interval provides a range of values that the true mean is likely to fall within, and just because the true mean is within the confidence interval, it does not mean that the true mean is exactly equal to 12 ounces.

Let's say the confidence interval for the mean volume is 11.5 to 12.5 ounces. This means that if we repeated our sample many times, 95% of those samples would have a mean that falls within this range.

However, it is still possible that the true mean volume is outside of this range, and the only way to know for sure is to collect more data or conduct a more comprehensive study.

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Answer:

√9

Step-by-step explanation:

First, it's important to know that a rational number is a number that can be expressed as a fraction. This means that all whole numbers are rational numbers. Knowing this, let's see if any of the radicals simplify into a fraction or whole number.

√12 = 3.464101615.....

NOT a rational number

√47 = 6.8556546.....

NOT a rational number

√22 = 4.69041576.....

NOT a rational number

√9 = 3

Rational number

So, √9 is a rational number.

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If it takes 10 workers 2.5 years to build a 20 story building, it will take 2.5 sec 20 workers to build a 40 story building.

Given that a skyscraper's height and the number of workers needed to build it determine how long the project takes, We must make the time.

Allow the time t, height h, and number of workers to be ω.

Then, based on the relationship,

t = kh/ω

where k is constant.

The formula in the term of k is:

k = tω/h

Additionally, it takes 10 employees t0 2.5 years to construct a 20-story skyscraper.

Now putting the value

k = (2.5 × 10)/20

k = 25/20

k = 5/4

If a 40-story skyscraper requires 20 workers to construct, we have

t = kh/ω

t = (5/4) × (40/20)

t = 5/2

t = 2.5 sec

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The complete question is:

The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 20 workers to build a 40 story building?

There are $15 received in change after buy 10 vegetarian pizzas.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

You buy 10 vegetarian pizzas and pay with $100.

Here, The cost of the three vegetarian pizzas is 25 dollars and 50 cents.

Hence, The cost of the three vegetarian pizzas = $25.5

Thus, The cost of the 10 vegetarian pizzas = $25.5 × 10 / 3

                                                                 = $255/3

                                                                  = $85

Since, You buy 10 vegetarian pizzas and pay with $100.

Hence, The change to receive = $100 - $85

                                                = $15

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The factorization of 3x² - 6x - 24 will be (x + 8)(x - 10).

The equation is a polynomial with leading coefficient 3, the equations os in standard form, where the leading coefficient is positive and the terms are ordered from highest degree to lowest degree.

To solve thw equation goes thus:

3x² - 6x - 24

Divide through by 3

x² - 2x - 80

x² - 10x + 8x - 80

x(x - 10) + 8(x - 10)

(x + 8)(x - 10)

The value will be (x + 8)(x - 10).

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The direct variation equation that relate the amount of concrete needed and the number of posts is y = 5/4x

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

To solve this problem, we have to state the equation using the information of the problem:

Information about the problem:

Calculating the number of concrete according to the number of posts we have:

6 1/4

= [(4*6)+1] / 4

= (24 + 1) / 4

= 25/4

Number of concrete per post = 25/4 bags / 5 post

Number of concrete per post = 5/4 bags / post

Writing the equation according to the information gave, we have:

y = 5/4x

Lets called (y) the amount of concrete needed and (x) the number of posts

The "y" variable is the dependent variable, it will change according to the number of posts x (x).

The "x" variable is the independent variable, because it doesn't depend on any other value, just the the number of posts.

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Answer:

A(n) = 1500 * (1 + 0.0367)^n

Step-by-step explanation:

Given that Ted's account has $1535.25 after 1 year, we can use that value to write an explicit expression for the function A(n).

The amount in the account after n years is given by the formula:

A(n) = A(0) * (1 + r)^n

where A(0) is the initial amount in the account and r is the interest rate.

Since A(1) = $1535.25 and A(0) = $1500, we can substitute these values into the formula:

1535.25 = 1500 * (1 + r)^1

Solving for r:

r = (1535.25/1500) - 1 = 0.0367

So, the interest rate is 3.67% and the explicit expression for the function A(n) is:

A(n) = 1500 * (1 + 0.0367)^n

Answer:45

Step-by-step explanation: Search math w ay on the internet for clarification and any further math questions :)

Answer: 45

Step-by-step explanation:

1. Convert any mixed numbers to fractions then you'll have: [tex]\frac{-15}{1}[/tex] ÷ [tex]\frac{-1}{3}[/tex]

2. Then you multiply the numbers across from each other. (both numerators and denominators)

So, it would then be [tex]\frac{-45}{1-}[/tex]

(remember, when multiplying or dividing negatives and positives, a negative to a positive (vice versa) will always come out to be a negative, and a positive to a positive or negative to a negative, it'll always be a positive)

3. Simplify [tex]\frac{-45}{-1}[/tex], this means you divide  -45 into -1, remember from the bolded phrase, this means it'd be a positive 45

So your answer is POSITIVE 45

P.S.  I'd recommend checking out the "Mixed Fractions Calculator" on Calculator Soup. I'll provide a link below if you need any other help with further questions in the future.  

https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Hope this helps.

Answer:

288

Step-by-step explanation:

1. 176 = 55% × N

2. 176 = [tex]\frac{55}{100}[/tex] × N

3. N= 176×[tex]\frac{100}{55}[/tex]

4. N=320

5. [tex]\frac{90}{100}[/tex] × 320

=288

The required probability is P(G|F) = 0.5.

Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:

P(G|F) = P(G and F) / P(F)

Where P(G and F) is the probability of both Renate winning a Green Card and Renate being a finalist, and P(F) is the probability of Renate being a finalist.

Since Renate was one of 110,000 finalists, P(F) = 110,000 / 6.5 million = 0.016923076923076924

Out of the 110,000 finalists, 55,000 won a Green Card, so P(G and F) = 55,000 / 6.5 million = 0.008461538461538462

Therefore, Renate's chance of winning a Green Card, given that she was a finalist, can be calculated as follows:

P(G|F) = P(G and F) / P(F) = 0.008461538461538462 / 0.016923076923076924 = 0.5

Thus, Renate had a 5% chance of winning a Green Card, given that she was a finalist.

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--The given question is incomplete; the complete question is

"In 1994, the U.S. government held a lottery to issue 55,000 Green Cards (permits for non-citizens to work legally in the U.S.). Renate Deutsch, from Germany, was one of approximately 6.5 million people who entered this lottery. Let G = won Green Card.

In the summer of 1994, Renate received a letter stating she was one of 110,000 finalists chosen. Once the finalists were chosen, assuming that each finalist had an equal chance to win, what was Renate's chance of winning a Green Card? Let F = was a finalist. Write your answer as a conditional probability statement. (Round your answer to four decimal places.)"--

Based on how many pickup trucks are built each week and how long the plant operates each day, one truck is built per hour.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram Math World: linear.

If the automaker facility operates for five days out of the week and 60 trucks are produced each week, then the number of trucks assembled per day is:

= 60 / 5

= daily 12 trucks

The number of trucks assembled every hour at the automaker's plant, which runs for 12 hours in a half-day, is:

= 12 trucks each day/worked hours

= 12 / 12

= One truck every hour

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The complete question is: The number of pick up trucks y built on an assembly line at a factory is represented by the equation y = [tex]\frac{x}{22}[/tex], where x is the time in hours.

1. Which type of vehicle is built at a faster rate?

2. How long does it take to built one of each type of vehicle?

3. Graph the equations that represent pickup trucks. Compare the steepness of the two graphs.

Answer:

x<11

Step-by-step explanation:

4x>54-10

4x>44

x<11 [sign change]

Answer:

x > 11

Step-by-step explanation:

4x + 10 > 54

Step 1: Subtract 10 from both sides.

4x + 10 - 10 > 54 - 10

4x > 44

Step 2: Divide both sides by 4.

4x/4 > 44/4

x > 11

The measure of side e is, 16.3 inches.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

In ΔDEF, m ∠E = 54°, d = 14 in., and f = 20 in.

Now, We know that;

⇒ cos E = (d² + f² - e²) / 2df

Substitute all the values, we get;

⇒ cos 54° = (14² + 20² - e²) / 2×14×20

⇒ 0.59 = (196 + 400 - e²) / 560

⇒ 0.59 × 560 = 596 - e²

⇒ 330.4 = 596 - e²

⇒ e² = 596 - 330.4

⇒ e² = 265.6

⇒ e = √265.6

⇒ e = 16.3 inches

Thus, The measure of side e is, 16.3 inches.

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The gallons of 16%salt solution required to obtained 20% of salt solution is equal to 5 gallons.

Let us consider 'x' be the salt solution of 16%

And 'y' be the salt solution with 25%

Total gallons of salt used is equal to 4 gallons

Required salt solution = 20%

Equation formed as per given information :

16% of x + 25% of 4 = 20% of ( 4 + x )

⇒ ( 16 / 100 ) × x + ( 25 / 100 ) × 4 = ( 20 / 100 ) × ( 4 + x )

⇒ 0.16x + 1 = 0.8 + 0.20x  

⇒ 0.20x - 0.16x  =  1 - 0.8

⇒ 0.04x = 0.2

⇒ x  = 0.2 / 0.04

⇒ x =  20 / 4

⇒ x = 5 gallons

Therefore, 5 gallons of salt solution is required to obtained 20% of salt solution.

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The percentage of people should be seen by doctor between 11 and 23 min is =  99.7%

The wait time at a doctor office is 17 minutes with a deviation of 2 min

we want to find the percentage of people seen by the doctor between 1 to 23 min

to find this we will find z score

the mean is 17 min and deviation is 2

the people should be seen by the doctor =

x = 11 and 23

z = 11-17/2 = -3

z= 23-17/2 = 6

lets use the standard normal distribution and you will find the answer.

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The simplified value of the expression is 45.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue. By eliminating all common factors from the numerator and denominator and putting the fraction in its simplest/lowest form, we can simplify fractions.

Given expression,

8 x 3 ÷ (4² - 13) + 5² + 4 x 3

using PEMDAS to solve the expression,

Parentheses, Exponents, Multiplication, Division (from left to right), and Addition and Subtraction (from left to right).

step 1: Parentheses, (4² - 13)

(16 - 13) = 3

step 2:  Exponents 5²

5² = 25,

step 3: Multiplication, 8 x 3 and 4 x 3

24 and 12

substitute the values,

8 x 3 ÷ (4² - 13) + 5² + 4 x 3

24 ÷ 3 + 25 + 12

step 4: Division,

24 ÷ 3 = 8

step 5: addition, 8 + 25 + 12

45

so 8 x 3 ÷ (4² - 13) + 5² + 4 x 3 = 45.

Hence the value of the expression is 45.

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