. Is x + 2 a factor of the polynomial f(x)=2x^4-3x²-4x+1?
Of(2)=13, so (x + 2) is not a factor.
O f(-2)=29, so (x + 2) is not a factor.
O f(-2)=0,so (x + 2) is a factor.
Of(2)=0,so (x+2) is a factor.

Answer:

$3.50

Step-by-step explanation:

Answer the question : I don't get what the question is suppose to be

Step-by-step explanation:

Answer:

98 units.

Step-by-step explanation:

Circumference = 2 * pi * radius

615.44 = 2 * 3.14 * r

r = 615.44 / (2 * 3.14)

 =2 * 3.14

 = 98 units.

Answer:

I can't really answer but I can help

Answer:

25.8 degrees

Step-by-step explanation:

Multiply 4.3 by 6

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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32(-5) + 0 + 160 = 0 is the line in the general form of the line the passing through (−5,0) with the slope 32.

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. There is no obvious reason why the letter m is used to represent slope, although it first appears in English in O'Brien (1844), who wrote the equation for a straight line as "y = mx + b," and it may also be found in Todhunter (1888), who wrote it as "y = mx + c."

Let us write the given data in slope-intercept form that is

y = m(x) + b

where m = slope of the line

b = y-intercept

So substituting the values we get

0 = 32(-5) + b

-b = -160

b = 160

so we have the slope intercept form

0 = 32(-5) + 160

Converting this to General form

ax + by + c = 0

32(-5) + 0 + 160 = 0

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Translated question

Given the following conditions, determine the equation of the line in its general form Ax+By+C=0.

It passes through (−5,0) and has slope m=32.

========================================================

Explanation:

x = sticker price, which is some number larger than 9 (otherwise the store loses money)

x-9 = profit made per speaker

To get the gross margin percentage, we divide the profit over the sales (aka revenue). So we'll divide (x-9) over x

The expression (x-9)/x represents the gross margin in decimal form. Set this equal to 0.80 and solve for x

-----------------

(x-9)/x = 0.80

x-9 = 0.80x

x-0.80x = 9

0.20x = 9

x = 9/0.20

x = 45

The sticker price is $45

-------------------

If the sticker price is $45 per speaker, then the store owner gets 45-9 = 36 dollars in profit per speaker sold. The gross margin would be (profit)/(sales) = 36/45 = 0.80 = 80%

In other words, 80% of the revenue is profit (the remaining 20% is costs or expenses).

Answer:

a)25%

b)5%

Step-by-step explanation:

hope it will help goodbye

Solving the question with the laws of combinatorics, specifically permutation problems.(a) 5,040 (b) 1,440. (c) 4,320.

(a) The word "mailbox" has 7 distinct letters. Therefore, the number of ways the letters can be arranged in a row is 7! = 5,040.

(b) If m and a must remain together (in order) as a unit, we can think of them as a single letter "ma". Now we have 6 letters to arrange in a row, which can be done in 6! ways. However, within the "ma" unit, the letters can be arranged in 2! ways. Therefore, the total number of arrangements is 6! × 2! = 1,440.

(c) If the letters ilb must remain together (in order) as a unit, we can think of them as a single letter "ilb". Now we have 5 letters to arrange in a row, which can be done in 5! ways. However, within the "ilb" unit, the letters can be arranged in 3! ways. Therefore, the total number of probable arrangements is 5! × 3! = 720 × 6 = 4,320.

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Answer:

\(b = \frac{n}{f} + g\)

Step-by-step explanation:

F ( -G + B ) = n

( -G + B ) = n [ F is the factor of n ]

f

-G + B = n

f

\(b \: = \frac{n}{f} - ( - g)\)

\(b \: = \frac{n}{f} \: + g\)

\(mark \: brainliest\)

Answer:

350

Step-by-step explanation:

It is 350 because 10 ones is 10, 4 tens is 40, and 3 hundreds is 300 if you add them up you get 350.

The required number is 350 which represents 10 ones, 4 tens

and 3 hundred.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have been given information as

10 ones

4 tens

3 hundred

As per the given question,

Translate the information into an algebraic expression:

It's 350 since 10 ones are 10, 4 tens are 40, and 3 hundred is 300 when added together.

⇒ 1 × 10 + 4 × 10 + 3 × 100

⇒ 10 + 40 + 300

⇒ 350

Therefore, the required number is 350 which represents 10 ones, 4 tens

and 3 hundred.

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Answer: Im not giving answer to that but i will do this one

A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week.After how many weeks will the amount of water in the two tanks be the same.

Step-by-step explanation:

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.

Answer:

0.2

Step-by-step explanation:

y^t=3^2=9

x/y^t=2/9=0.2

Based on the given data, the normal R&D expenditure for Siberian Husky ZAO can be calculated using the formula: Normal R&D = Intercept + (a * Chg R&D / Prior TA) + (b * (Prior Chg Revenue / Prior TA)) + (c * (Prior Revenue / Prior TA)).

In this case, the values for a, b, and c are given as 0.010, -0.05, and -0.039, respectively. The values for Chg R&D, Prior TA, Prior Chg Revenue, and Prior Revenue are also provided in the table.

Using the given values, the calculation for the normal R&D for Siberian Husky ZAO can be done as follows:

Normal R&D = 0 + (0.010 * 0.200 / 1.500) + (-0.05 * 0.060 / 1.500) + (-0.039 * 1.710 / 1.500)

Normal R&D = 0.00067

Therefore, the normal R&D expenditure for Siberian Husky ZAO is 0.00067.

In summary, the normal R&D expenditure for Siberian Husky ZAO can be calculated using the given formula and the provided values for a, b, c, Chg R&D, Prior TA, Prior Chg Revenue, and Prior Revenue. The calculated value is 0.00067.

In explanation, normal R&D expenditure is calculated using the formula provided and the given values. The formula takes into account the changes in R&D expenditure, changes in revenue, and revenue levels from the previous year. The intercept value is 0 and is added to the weighted values of a, b, and c. In this case, a represents the impact of R&D expenditure on the current year's normal R&D, b represents the impact of revenue growth on the current year's normal R&D, and c represents the impact of revenue levels on the current year's normal R&D. By plugging in the provided values, we can calculate the normal R&D expenditure for Siberian Husky ZAO, which is 0.00067.

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Without knowing the total cost of the wallpaper or the dimensions of the rectangular prism, it is not possible to determine the cost of the wallpaper per square foot.

To calculate the cost per square foot, we would need to know the total cost of the wallpaper and the total area covered by the wallpaper. Since we do not have this information, we cannot determine the cost per square foot.

In summary, the cost of the wallpaper per square foot cannot be determined without knowing the total cost of the wallpaper and the dimensions of the rectangular prism that Lamar built.

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The probability of either event E or event F occurring, when E and F are mutually exclusive, is 0.85.

If E and F are mutually exclusive events, it means that they cannot occur simultaneously. In such cases, the probability of either event E or event F occurring is the sum of their individual probabilities.

Given that P(E) = 0.34 and P(F) = 0.51, we can calculate the probability of E or F, denoted as P(E or F), as:

P(E or F) = P(E) + P(F)

Substituting the given values, we have:

P(E or F) = 0.34 + 0.51

Calculating the sum, we find:

P(E or F) = 0.85

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Answer:

174

Step-by-step explanation:

absolute value means the distance from zero.  Distance is always measured with a positive number.  If you asked me how far I lived from my work, I would never say -12 miles away.  If I was going or coming to work, the distance would be the same 12 miles.

134 + 4 + 35 = 174

Approximately 234.33 seconds for a radio signal to travel from Earth to a space station on Mars.

To calculate the time required for a radio signal to travel from Earth to Mars, we need to divide the distance between Earth and Mars by the speed of light.

Given:

Distance between Earth and Mars = 7.03x10⁷ km

Speed of light = 3x10⁸ m/s

First, we need to convert the distance from kilometres to meters:

Distance between Earth and Mars = 7.03x10⁷ km = 7.03x10⁷ x 1000 m = 7.03x10¹⁰ m

Calculate the time using the formula:

Time = Distance / Speed

Time = 7.03x10¹⁰ m / 3x10⁸ m/s

Time = 7.03x10¹⁰ / 3x10⁸

Time = 234.33 seconds

Therefore, it would take approximately 234.33 seconds for a radio signal to travel from Earth to a space station on Mars.

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Answer:

X = 8.5, Y = 6.5

Step-by-step explanation:

X = # of children's books

Y = # of puzzle books

Amelie wants to buy 2 more children's books than puzzle books.

15 - 2 = 13 (Save the 2)

13 / 2 = 6.5

6.5 + 2 = 8.5

So; 8.5 + 6.5 = 15

X = 8.5

Y = 6.5

The probability that a randomly selected group of 16 individuals from the campus will be selected is 0.8023 or 80.23%

Based on the sign in the elevator of the college library, the limit of 16 persons and weight limit of 2,500 pounds need to be adhered to. To ensure compliance with both limits, we need to consider both the number of people and their weight.

Assuming that the distribution of weights of individuals on campus is approximately normal with an average weight of 155 pounds and a standard deviation of 29 pounds, we can use this information to estimate the total weight of a group of 16 randomly selected individuals.

The total weight of a group of 16 individuals can be estimated as follows:

Total weight = 16 x average weight = 16 x 155 = 2480 pounds

To determine if this total weight is within the weight limit of 2,500 pounds, we need to consider the variability in the weights of the individuals. We can do this by calculating the standard deviation of the total weight using the following formula:

Standard deviation of total weight = square root of (n x variance)

where n is the sample size (16) and variance is the square of the standard deviation (29 squared).

Standard deviation of total weight = square root of (16 x 29^2) = 232.74

Using this standard deviation, we can calculate the probability that the total weight of the group of 16 individuals is less than or equal to the weight limit of 2,500 pounds:

Z-score = (2,500 - 2,480) / 232.74 = 0.86

Using a standard normal distribution table or calculator, we can find that the probability of a Z-score less than or equal to 0.86 is approximately 0.8023.

Therefore, the probability that a randomly selected group of 16 individuals from the campus will comply with both the number and weight limits in the elevator of the college library is approximately 0.8023 or 80.23%.

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Here is the binary tree representation of the expression ((x+2)↑3)*(y-(3+x))-5:

javascript

            *

          /   \

         ↑    5

       /   \

      *    -

     / \  / \

    +  2 y  +  3  x

   / \

  x   2

a) Prefix Notation:

*-^+x23y-+3x5

b) Postfix Notation:

x2+3+x-y^3*5-

c) Infix Notation:

((x + 2) ^ 3) * (y - (3 + x)) - 5

The expression ((x+2)↑3)*(y-(3+x))-5 can be represented in a binary tree as well as in prefix, postfix, and infix notations.

Explanation:

To represent the given expression using a binary tree, we can break it down into individual operations and operands. Here's the binary tree representation:

                             *

                           /   \

                         ↑       5

                       /   \

                      *     -

                    /  \   /  \

                  +     y  3   +

                /  \       /  \

              x     2     3   x

In prefix notation, the expression is written by placing the operator before its operands. The prefix notation for the given expression is:

↑ + x 2 3 - y + 3 x 5

In postfix notation, the expression is written by placing the operator after its operands. The postfix notation for the given expression is:

x 2 + 3 ↑ y x 3 + - 5 *

In infix notation, the expression is written by placing the operators between the operands. The infix notation for the given expression is:

((x + 2) ↑ 3) * (y - (3 + x)) - 5

These representations provide different ways of expressing the same mathematical expression, each with its own rules for evaluating the expression.

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There are 144 ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions.

We have to list the digits {1, 1, 2, 2, 3, 4, 5} so that two identical digits are not in consecutive positions. We can use the knowledge of permutations and combinations to solve this problem. We can start by selecting the positions for the distinct digits, i.e., (3, 4, 5). There are 3 distinct digits, so there are 3! = 6 ways to arrange them.

Once we have placed the distinct digits, we can place the two 1's and two 2's in the remaining positions such that no two identical digits are in consecutive positions. To do this, we can use the following approach:

We can start by placing one of the 1's. There are 4 positions available for the first 1.

We can then place one of the 2's. There are 3 positions available for the first 2.

We can then place the second 1. There are 2 positions available for the second 1.

We can then place the second 2. There are 1 positions available for the second 2.

Therefore, the total number of ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions is:

6 (arrangements of distinct digits) x 4 x 3 x 2 x 1 = 144.

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Answer:

Step-by-step explanation:

1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.

Therefore,

2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:

Answer:

32

Step-by-step explanation:

The population in 2020 is 2,240,700

A population is the set of people concentrated in a particular area.

Given that, in 2010, the population of a city was 88,000, from 2010 to 2015, the population grew by 4%. From 2015 to 2020, it fell by 3%. We need to determine the population in 2020,

For population growing we will multiply the population is 104 and for population reducing we will multiply by 97,

Therefore, the population in 2020 =

88000 × 5(104/100) × 5(97/100)

= 88000 × 5.25 × 4.85

= 2,240,700

Hence, the population in 2020 is 2,240,700

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Answer:

ansfhbshajsnshafakdkidbsbaga abfjdb

Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)