Factor completely. 10x^3 + 2x^2 + 5x + 1

Answer:

729

Step-by-step explanation:

27^2 =

To solve the given expression, let's simplify it step by step:

Expression:

\((5 * 25^(n + 1) - 25 * 5^(2n)) (5 * 5^(2n + 3) - 25^(n + 1))\)

Step 1: Rewrite the powers of 25 and 5 using their common base of 5.

\((5 * (5^2)^(n + 1) - 25 * (5^2)^n) (5 * (5^2)^(2n + 3) - (5^2)^(n + 1))\)

Step 2: Simplify the exponents.

\((5 * 5^(2n + 2) - 25 * 5^(2n)) (5 * 5^(4n + 6) - 5^(2n + 2))\)

Step 3: Combine like terms in the numerator and denominator.

\([(5 * 5^(2n + 2)) - (25 * 5^(2n))] [(5 * 5^(4n + 6)) - 5^(2n + 2)]\)

Step 4: Distribute and simplify the numerator.

\([5^(2n + 2 + 1) - 25 * 5^(2n)] [(5 * 5^(4n + 6)) - 5^(2n + 2)][5^(2n + 3) - 25 * 5^(2n)] / [(5 * 5^(4n + 6)) - 5^(2n + 2)]\)

Step 5: Distribute and simplify the denominator.

\([5^(2n + 3) - 25 * 5^(2n)] [5 * 5^(4n + 6) - 5^(2n + 2)][5^(2n + 3) - 25 * 5^(2n)] / [5^(1 + 4n + 6) - 5^(2n + 2)][5^(2n + 3) - 25 * 5^(2n)] [5^(4n + 7) - 5^(2n + 2)]\)

Step 6: Factor out a common term from the numerator.

\([5^(2n + 3) - 5^(2n + 2) * 5^1] [5^(4n + 7) - 5^(2n + 2)]\)

Step 7: Simplify the denominator.

\([5^(2n + 3) - 5^(2n + 2)] [5^(4n + 7) - 5^(2n + 2)]\)

Step 8: Factor out a common term from the numerator.

\([5^(2n + 2) * (5^1 - 1)] [5^(4n + 7) - 5^(2n + 2)][5^(2n + 2) * 4] [5^(4n + 7) - 5^(2n + 2)]\)

Step 9: Simplify the numerator.

\([20 * 5^(2n + 2)] [5^(4n + 7) - 5^(2n + 2)]\)

Step 10: Factor out a common term from the numerator and simplify.

\([20 * 5^(2n + 2)] [5^(2n + 2) * (5^(2n + 2) - 5^(2n + 5))]\)

For such more questions on Undefined Expression

https://brainly.com/question/13464119

#SPJ8

">" makes each inequality statement true. since -19 > -20

Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. The comparison symbols for numbers are "=", which stands for "equal to," "=", which stands for "greater than," and " ", which stands for "less than."

Given three inequalities symbols>, <, and = and we need to compare -19 and -20 as per the problem. Hence -19 > -20

Therefore, Each inequality assertion is true when ">" is used. since -19 > -20

Learn more about comparison symbols here:

https://brainly.com/question/9438279

#SPJ1

The probability of winning by picking the number 30 in roulette is 1/38.

In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.

In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.

To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.

Learn more about probability

brainly.com/question/31828911

#SPJ11.

Answer:

Find solutions for your homework

Find solutions for your homework

mathstatistics and probabilitystatistics and probability questions and answerscomplete the sentence below. the _____ _____, denoted modifyingabove p with caret , is given by the formula modifyingabove p with caret equals_____, where x is the number of individuals with a specified characteristic in a sample of n individuals.

This problem has been solved!

You'll get a detailed solution from a subject matter expert that helps you learn core concepts.

See Answer

Question: Complete The Sentence Below. The _____ _____, Denoted ModifyingAbove P With Caret , Is Given By The Formula ModifyingAbove P With Caret Equals_____, Where X Is The Number Of Individuals With A Specified Characteristic In A Sample Of N Individuals.

Complete the sentence below.

The _____ _____, denoted ModifyingAbove p with caret , is given by the formula ModifyingAbove p with caret equals_____, where x is the number of individuals with a specified characteristic in a sample of n individuals.

Complete the sentence below

Thedenoted p, is given by the formula

The

where x is the number of individuals with a specified c

Show transcribed image text

Expert Answer

100%

Solution : Given that, n = x = Point estimate = sample propo…View the full answer

answer image blur

Transcribed image text: Complete the sentence below Thedenoted p, is given by the formula The where x is the number of individuals with a specified characteristic in a sample of n individuals. the number of ▼I, denoted p, is given by the formula p ▼1, where x is the number of individuals with a specified characteristic in a sample of n individuals

Answer:

An integer and its opposite also called absolute value I think

Step-by-step explanation:

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

We know,

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

we have,

∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.

∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.

Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

 ≅   Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.

ABCD is a Rhombus Reason = Its sides are all congruent.

Learn more about Rhombus at;

brainly.com/question/20627264

#SPJ1

complete question:

Given: ABCD is a parallelogram, FC is congruent to EC, DE bisects BC and BF bisects DC Prove: ABCD is a rhombus

Answer:

4 hostel rooms

Step-by-step explanation:

okay so for this all you need to do is read the chart

The Phillips curve describes the relationship between the unemployment rate and the rate of change of wages. Option C is the correct option.

What is  Phillips curve?

The relationship between the rate of inflation and the unemployment rate is represented by the Phillips curve. The analysis of wage inflation and unemployment in the United Kingdom from 1861 to 1957 by A. W. H. Phillips, despite having forerunners, is a significant development in the field of macroeconomics. When unemployment was high, wages rose slowly; when unemployment was low, wages rose quickly, according to Phillips' research.

According to Phillips' hypothesis, as the unemployment rate declines, the labor market becomes more competitive and firms are forced to raise wages more quickly in order to recruit qualified workers. The pressure decreased as unemployment rates rose. The average relationship between wage behavior and unemployment over the course of the business cycle was represented by Phillips' "curve."

To learn more about curves, click on the below link:

https://brainly.com/question/29432628

#SPJ1

The value of a and b that make f(x) continuous at x = 1 is a = -4 and b = 2

Given the function

f(x) = x^2 - 2x - a, x < 1

f(x) = -x^2 + bx + 2 , x ≥ 1

To make the function continuous at x = 1

x^2 - 2x - a = -x^2 + bx + 2 , when x = 1

Substitute the values

1^2 - 2(1) - a = -1^2 + b(1) + 2

1 - 2 - a = -1 + b + 2

-1 - a = 1 + b

a + b = -2

To make it differentiable at x = 1

2x - 2 = -2x + b, when x = 1

2 - 2 = -2(1) + b

0 = -2 + b

b = 2

Then

a + b = -2

a + 2 = -2

a = -2 -2

a = -4

Therefore, the value of a = -4 and b = 2

The complete question is

Find the values of a and b that make the function f(x) continuous and differentiable at x=1.

f(x) = x^2 - 2x - a, x < 1

f(x) = -x^2 + bx + 2 , x ≥ 1

Learn more about function here

brainly.com/question/21447009

#SPJ4

The table given show the male and female recipients of different classes of degree at a local college.

Note that the total for each row and column i indicated as shown below;

To find the probability that the recipient is female, given that the degree i advanced;

Note that we already know its an Advanced degree, hence we only need to divide the female recipients of an advanced degree by the total recipients.

The answer therefore is 0.57 (approximated to 2 decimal places), or expressed as a percentage, the answer is 57%

The correct answer is y > 0.  The function f(x) = 2(3)^x is an exponential function with a base of 3 and a constant multiplier of 2.

Since 3 to any power is always positive, the function output will always be positive. Therefore, the range of the function is y > 0.

To see why, consider that the output of an exponential function is the result of raising a positive base to a power. As the exponent increases, the output grows exponentially, getting larger and larger without bound. In this case, the base is 3, which is greater than 1, so the function grows rapidly as x increases.

Since the output of the function is always positive, the range of the function is also positive. This means that the function never takes on negative values or zero. Therefore, the correct answer is y > 0.

Learn more about function here:

https://brainly.com/question/21145944

#SPJ11

Answer:

1 and 10

Step-by-step explanation:

Answer:

1 and 10

Step-by-step explanation:

1×10=10

1+10=11

Answer:

17/24

Step-by-step explanation:

nah im to lazy

Answer:

17/24

Step-by-step explanation:

3/8 + 2/6

(3)(3/8) + (4)(2/6)

9/24 + 8/24

17/24

Tensor y will have the shape (4, 1, width, 64), where width is determined by the shape of the input tensor.

Based on the given dimensions of the tensors x and y, we can determine the shape of the tensor y. Tensor x has a shape of (16, 3, 128, 96), which means it has 16 channels, 3 height pixels, 128 width pixels, and 96 depth pixels. Tensor y has a shape of (4, 1, -1, 64), which means it has 4 channels, 1 height pixel, an undetermined width, and 64 depth pixels.

The -1 in the width dimension of tensor y represents a placeholder for the unknown size of that dimension. This is a common technique used in deep learning frameworks to allow for flexibility in the size of input data. The value of the width dimension will depend on the shape of the input tensor to which tensor y is being applied.

Therefore, the shape of tensor y will be (4, 1, width, 64) where width is determined by the shape of the input tensor to which it is applied.

You can learn more about Tensor at: brainly.com/question/30719977

#SPJ11

Answer:

If a figure has four sides, then it is a kites.

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don’t want more question

I need help no more stress????

With one third of a serving remaining, there are 17 servings are there in a box that holds 13 cups.

Given that:

Each cup holds a bit more than 1 serving, so we know there are at least 13 servings in a box.

We need to know how many servings of 3/4 cup can be obtained from 13 cups.

now we need to divide 13 by 3/4

=13 ÷ 3/4  

= 13 × 4/3

= 52/3

= 17\(\frac{1}{3}\)

With one third of a serving remaining, there are 17 servings total.

To learn more about divide:

https://brainly.com/question/15381501

#SPJ4

The equation represents the total cost of turkey and amount is y= 3.25x.

We have,

The turkey costs $3. 25 per pound.

let x be the amount in pounds and y be the total cost in dollar.

Then, the relation between x and y

Total cost = 3.25 (amount in  poind)

y = 3.25 x

Thus, the required equation is y= 3.25x.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ1

Suppose a basketball player has made 215 out of 322 free throws. If the player makes the next 2 free throws, you will be paid $32, otherwise, you pay $24. To find out how much you would expect to win or lose if this game is played 590 times, the first thing to do is to find the probability that the player will make the next two free throws.In order to find the probability that the player makes the next 2 free throws, the total number of free throws attempted is 322 + 2 = 324.

The probability that the player makes each free throw is equal to the ratio of the number of successful free throws to the total number of free throws attempted.Therefore, the probability that the player makes each free throw is215/322 = 0.6667 (rounded to four decimal places)The probability that the player will make the next 2 free throws is:0.6667 × 0.6667 = 0.4445 (rounded to four decimal places).

This means that the probability that the player misses at least one free throw is:1 − 0.4445 = 0.5555 (rounded to four decimal places)If you win, you get $32, while if you lose, you have to pay $24. This means that your expected value is given by the formula:E(X) = $32(0.4445) − $24(0.5555) = −$0.22Therefore, if you played this game 590 times, you would expect to lose a total of:$0.22 × 590 = -$129.80 (rounded to two decimal places)Note that since you are expected to lose, the value is negative.

Learn more about probability:

https://brainly.com/question/25870256

#SPJ11

With a greater mean value , we can conclude that the sixth period class test was better than the second period .

Second period class:

Mean = (55+70+6*75+6*80+2*85+3*90+95)/20

Mean = 1590/20 = 79.5

Sixth period class:

Mean = (65+3*75+5*80+6*85+3*90+2*95)/20

Mean = 1660/20 = 83

Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .

Learn more on mean : https://brainly.com/question/20118982

#SPJ1

Answer:

All Negative numbers are NOT integers

Step-by-step explanation:

For example, If we take the negative number, -5/6

It is NOT a integer, it is a rational number.

Thus, this statement is wrong.

Answer:

It should be all whole negative number are integers

Step-by-step explanation:

Because integers are whole numbers

not included the fraction

The number of ways are 120 and 604800 to choose 7 from 10 letters, respectively

(a) If choices are relevant, we need to use the formula for combinations:

C(10,7) = 10! / (7! * (10-7)!) = 120

So there are 120 ways to choose 7 letters, without replacement, from 10 distinct letters if the choices are relevant.

(b) If choices are not relevant, we would use the formula for permutations:

P(10,7) = 10! / (10-7)! = 604800

So there are 604800 ways to choose 7 letters, without replacement, from 10 distinct letters if the choices are not relevant.

Read more about permutation at

https://brainly.com/question/11732255

#SPJ1

The desired probability calculated from the given data is 931.

The first thirty-one numbers can be arranged in $31!$ different ways, and in $29!$ different ways so that the highest number is in the 31st position and the second-largest is in the 20th.

The result is $931$ since this gives us the desired probability of

$\frac{29!}{31!} = \frac{1}{31\cdot 30} = \frac{1}{930}$, so the answer is required answer is $\931$.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

To learn more about probability

https://brainly.com/question/11234923

#SPJ4.

Answer:

Step-by-step explanation:

b

Euler's method for the initial-value problem y' - 5 = x + y + 3, y(2) = 4, we obtain an approximation for the solution, y(x), at the desired points.

The initial-value problem y' - 5 = x + y + 3, y(2) = 4 using Euler's method,

follow these steps:

Euler's method for the initial-value problem y' - 5 = x + y + 3, y(2) = 4, we obtain an approximation for the solution, y(x), at the desired points.

Learn more about Euler's method

brainly.com/question/31324674

#SPJ11

The school's claim group of answer options has a p-value for a test of 0.1539.

The notation and data are provided.

The sample is chosen at random: n = 130

The estimated proportion of students who intend to pursue general practice is: \(\bar p = 32\% = \frac{28}{10} = 0.32\)

The value to be tested is: p₀ = 28% = 28/100 = 0.28

The statistic (variable of interest): z

The p-value (variable of interest): \(p_{v}\)

Concepts and formulas used  

In order to verify the assertion that the true proportion is greater than 0.28, we must test a hypothesis:

p ≤ 0.28 indicates a null hypothesis.

p > 0.28 is an alternative hypothesis.

The z statistic is required when doing a proportion test because it is provided by:

\(z= \frac{\bar p \;-\; p_{0}}{\sqrt{\frac{p_{0}\; (1\; - \; p_{0} ) }{n} } } \;\;\;\;\;\; ................ep.\; 1\)

Determine the statistic.

Since we have all the necessary information, we can change equation 1 to read as follows:

\(z= \frac{0.32 \;-\; 0.28}{\sqrt{\frac{0.28\; (1\; - \; 0.28) }{130} } } \;\;\;\;\;\; \\\\z = \frac{0.04}{\sqrt{\frac{0.28\; * \; 0.72 }{130} } } \\\\z = \frac{0.04}{\sqrt{\frac{0.2016 }{130} } }\\\\z = 1.01575 \;or\; 1.02\)

Statistical decision  

The p-value for this test would then be calculated as the next step.

The p-value for this right-tailed test would be:

\(p_{v} = P \;(z > 1.02) = 0.1539\)

Since we are determining whether the mean is greater than a value, with z = 1.01575, the p-value is obtained using a z-distribution calculator with a right-tailed test, and it is 0.1539.

Visit the link below to learn more about Standard deviation:

brainly.com/question/17062923

#SPJ4

Answer: 1226

Step-by-step explanation:

The ranking of resistors would be, R1 < R3 < R2

The larger the time constant T = RC,  the more time it takes for the capacitor to discharge.

So the more the resistance the more time it takes for the capacitor to discharge.

In the figure, the one with R2 will take the longest time for Vc to be zero. Then R3 will take less time than R2 and R1 will take smallest time to discharge. So R2 is largest followed by R3 and R1 is smalllest.

So the ranking would be, R1 < R3 < R2

To learn more about resistors, refer to

https://brainly.com/question/14883923

#SPJ4