expressions that have 2\3 as a product.

Given:

a)

We need to write the polynomial in descending order.

Recall that descending order is basically when the power of a term decreases for each succeeding term.

The power of w decreasing from 4 to 0 is the descending order

Answer:

b)

We need to find the degree of the polynomial.

Recall that the degree of the polynomial is the greatest power of the variable.

The variable of the given polynomial is w.

The greatest power of the variable w in the given polynomial is 4.

Answer:

The degree of the polynomial is 4.

c)

We need to find the leading coefficient.

Recall that the leading coefficient is the coefficient of the term of the highest degree in a given polynomial.

The highest degree in a given polynomial is 4.

The coefficient of the term of the highest degree in a given polynomial is 6.

Answer:

The leading coefficient is 6.

d)

We need to find the coefficient of w.

Recall that the coefficient of w is the number multiplied by the variable.

In the given polynomial w is multiplied by -8.

Answer:

The coefficient of w is -8.

e)

We need to evaluate the expression if w=2.

Substitute w=2 in the given polynomial.

Answer:

The given expression is 111 if w =2.

Answer:

\(we \: have \: 5x + 6x + y + y + 3y + 4 + 6 + 2 \\ x \: terms = 5x + 6x = 11x \\ y \: terms = y + y + 3y = 5y \\ constant = 4 + 6 + 2 = 12 \\ then \: 11x + 5y + 12 \\ option \: (c) \\ thank \: you\)

Answer:

C. 11x + 5y + 12

Step-by-step explanation:

You have to combine all like terms For example:

5x + 6x + y + y + 3y + 4 + 6 + 2

First add 5x and 6x

5x + 6x = 11x

Then you get:

11x + y + y + 3y + 4 + 6 + 2

Next add all of the y's

y + y + 3y = 5y

then you get

5x + 6x + 5y + 4 + 6 + 2

Finally add 4, 6, and 2

4 + 6 + 2 = 12

So your final solution should be 11x + 5y + 12

Answer:

Step-by-step explanation:

Suppose x+3 < 0. Subtract 3 from both sides of the inequality.

x < -3

So, x+3 is negative when x < -3. When x>5,

x+3 > 8, which is positive, so the absolute value function has no effect.

|x+3| > 8

Answer:

1

Step-by-step explanation:

Answer:

answer is 1

Step-by-step explanation:

5/1×5

so5/5

1

Answer:

the second option listed

(A = 53 degrees)

(a = 13.3)

(c = 16.6)

Step-by-step explanation:

SOH CAH TOA

(sin = opposite / hypotenuse)

(cos = adjacent / hypotenuse)

(tan = opposite / adjacent)

For this question, you are provided an angle (37), and its opposite (10)

so, we can solve for either sin or tan first.

tan = opposite / adjacent

tan 37 = 0.7535540501

0.7535540501 = 10/a  [multiply by a]

0.7535540501a = 10 [divide by [0.7535540501]

a = 13.2704482163

rounded to the nearest tenth, a = 13.3

we know that the three angles shown here must add up to 180

so,

90 + 37 + A = 180

127 + A = 180

- 127           - 127

A = 53

--this is enough information to answer, but I will also solve side c to prove my answer

c = hypotenuse

a²+ b²=c²

[13.3]² + [10]² = c²

176.89 + 100 = c²

276.89 = c²

√276.89 = √c²

16.6400120192 = c

c = 16.6 (rounded to the nearest tenth)

**I am assuming this is a right triangle, otherwise there wouldn't be a matching answer

Answer:

0.6

Step-by-step explanation:

3 divided by 5

Answer:

???

Step-by-step explanation:

Answer:

2r+2=10

Step-by-step explanation:

R is 4

u would do 2*4

that equals 8

next add 2+8

you get 10

The expected number is 1, that means that if you randomly pick one ball and replace it with a blue ball, then you have a greater than 50/50 chance of eliminating all the red balls.

The expected number of blue balls needed to eliminate all red balls is calculated using the formula\(n = (x-1)/(y-1)\). In this scenario, x = 3 (the total number of balls in the box) and y = 2 (the number of red balls). Therefore, n = (3-1)/(2-1), which equals 1. So, the expected number of blue balls needed to eliminate all red balls is 1.

To illustrate this, imagine a box with 3 balls: 2 red and 1 blue. If you randomly pick one ball and replace it with a blue ball, then you have a 50/50 chance of eliminating all the red balls. If the ball you pick is red, then you need to pick another ball and replace it with a blue ball to get rid of the remaining red ball. This means that you need a total of 2 blue balls to get rid of all the red balls. However, since the expected number is 1, that means that if you randomly pick one ball and replace it with a blue ball, then you have a greater than 50/50 chance of eliminating all the red balls.

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complete question

What is the expected number of blue balls needed to eliminate all red balls from a box with 3 balls, 2 of which are red?

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

The number is 1.

when a number multiplies itself the result is said to be the square of that number.

Analysis:

The square of 1 remains 1.

if you subtract the square of 1 from 1, you will have 0.

and zero is the greatest difference in this regard because every other number gives a negative result.

Example, 3 is a number, the square of 3 is 9. and 3 - 9 = -6 smaller than 0.

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0.5 is the number.

Let the number be x,

When this number is subtracted from its square

x - x²

In order to find the greatest number, use vertex formula: x = -b/2a

Identify the following: a = -1, b = 1, c = 0

Hence solve, x = -1/2(-1) = -1/-2 = 1/2

So, the number is 0.5

Difference: (0.5) - (0.5)² = 0.5 - 0.25 = 0.25

The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

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Using the Pythagoras theorem, the longest leg has the length of 24 feet.

Given that,

A ladder of length (2x+6) feet is positioned x feet from a wall.

Height of the ladder = (2x + 6) feet

Distance of ladder from the wall = x feet

Height of the wall that the ladder is placed = (2x + 4) feet

These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.

Longest leg is (2x + 4) feet

Using the Pythagoras theorem,

(2x + 6)² = (2x + 4)² + x²

4x² + 24x + 36 = 4x² + 16x + 16 + x²

4x² + 24x + 36 = 5x² + 16x + 16

x² - 8x - 20 = 0

(x - 10) (x + 2) = 0

x = 10 or x = -2

x = 2 is not possible.

So x = 10

Longest leg = 2x + 4 = 20 + 4 = 24 feet

Hence the length of the longest leg is 24 feet.

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Answer:

Step-by-step explanation:

The answer for hypotenuse is 10 cm

The answer for area is 24 cm^2

The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:

"2/3y" represents two-thirds of a number.

"9" represents the number nine.

"y + 1" represents the number increased by one.

Now let's construct the sentence:

"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.

"is less than" - This is the comparison symbol in the inequality.

"the number" - This refers to the expression "y + 1," representing the number increased by one.

Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."

Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."

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The least common multiple LCM of 5/12 and 7/16 is 35/16 or 2 whole number 3/16 expressed as a mixed fraction.

The least common multiple also called LCM of two numbers is the smallest positive integer that is divisible by both numbers.

5/12 = 1/2 × 1/2 × 1/3 × 5 {expressed as product of its prime factors}

7/16 = 1/2 × 1/2 × 1/2 × 1/2 × 7 {expressed as product of its prime factors}

so their least common multiple is calculated as;

LCM = 1/2 × 1/2 × 1/2 × 1/2 × 5 × 7

LCM = 35/16

Therefore, the LCM of 5/12 and 7/16 is the fraction 35/16 or expressed as 2 whole number 3/16.

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Answer:

Remaining balance = AED 13.75

Step-by-step explanation:

Given that:

Amount of gift card = AED 20

Amount left after buying 3 songs = AED 16.25

Cost of 3 songs = 20 - 16.25 = AED 3.75

Cost per song = \(\frac{3.75}{3}\)

Cost per song = AED 1.25

Cost of 5 songs = 5(1.25) = AED 6.25

Remaining balance = 20 - 6.25 = AED 13.75

Hence,

Remaining balance = AED 13.75

Exponent is moved to multiplier after taking the ln of both sides.

ln(7) = ln(6.26) + t × ln (1.04)

Using the above formula, the base is 1.04 (for only four years).

c (t) = 6.26*1.04t  ,,,,t in years,,,,0≤t≤4

c = 7

Exponent is moved to multiplier after taking the ln of both sides.

ln(7) = ln(6.26) + t × ln (1.04)

t = [ln(7/6.26)] / ln(1.04)

same as t = [ln(7) - ln(6.26)]] / ln(1.04)

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Answer:

input (x)

Step-by-step explanation:

A function is a relation in which the members of the domain (x-values) DO NOT repeat. So, for every x-value there is only one y-value that corresponds to it.

Answer:

\(\boxed{A=\sqrt{s(s-a)(s-b)(s-c)}}\)

Step-by-step explanation:

We can use Heron’s formula to determine the area of a triangle when three side lengths of a triangle are given.

\(s=\frac{a+b+c}{2}\)

\(s : \mathrm{semi \: perimeter}\)

\(A=\sqrt{s(s-a)(s-b)(s-c)}\)

\(A : \mathrm{area}\)

Answer:

Heron's formula gives the area of a triangle when the length of all three sides are known. Use Heron's formula to find the area of triangle ABC, if AB=3,BC=2,CA=4 . Substitute S into the formula . Round answer to nearest tenth.

Step-by-step explanation:

The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15

From the question, we have the following parameters that can be used in our computation:

1 2/5 + 2 2/3

3 + 2/5 + 2/3

To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number

In this case, we use 3 and 5

So, we have

3 + 2/5 * 3/3 + 2/3 * 5/5

Evaluate the products

3 + 6/15 + 10/15

Hence, the expression using fifteenths is 3 + 6/15 + 10/15

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Step-by-step explanation:

Sum of all interior angles = 900°

A+B+C+D+E+F+G=900

120+B+148+90+142+130+129=900

B=900-759

B=141°

Answer:

volume=l×b×h=8.2×3.7×4.1=124.394in³

1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.

2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.

3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.

1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.

2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

\(N(t) = N0 * e^{rt}\)

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

\(2N = N * e^{rt}\)

Dividing both sides by N, we get:

\(2 = e^{rt}\)

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

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Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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We cannot conclude that there are more than 70,000 defined words in the dictionary.

To test the claim that there are more than 70,000 defined words in the dictionary, we can set up the null and alternative hypotheses as follows:

Null Hypothesis (H0): The mean number of defined words on a page is 48.0 or less.

Alternative Hypothesis (H1): The mean number of defined words on a page is greater than 48.0.

So, sample mean

= (59 + 37 + 56 + 67 + 43 + 49 + 46 + 37 + 41 + 85) / 10

= 510 / 10

= 51.0

and, the sample standard deviation (s)

= √[((59 - 51)² + (37 - 51)² + ... + (85 - 51)²) / (10 - 1)]

≈ 16.23

Next, we calculate the test statistic using the formula:

test statistic = (x - μ) / (s / √n)

In this case, μ = 48.0, s ≈ 16.23, and n = 10.

test statistic = (51.0 - 48.0) / (16.23 / √10) ≈ 1.34

With a significance level of 0.05 and 9 degrees of freedom (n - 1 = 10 - 1 = 9), the critical value is 1.833.

Since the test statistic (1.34) is not greater than the critical value (1.833), we do not have enough evidence to reject the null hypothesis.

Therefore, based on the given data, we cannot conclude that there are more than 70,000 defined words in the dictionary.

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The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Answer:

240

Step-by-step explanation:

60 = 1/4 of x

so: x = 60*4

x = 240

check:

240/4 = 60

60 = 60 true!!

Answer:

240÷4=60

Step-by-step explanation:

docientos cuarenta dividido entre cuatro es igual a sesenta.