(x^3-2x^2-13x) divided by (x+5)

The square root x^4= x^2

the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

We are given that 1 bulb out of every 9 bulbs is defective.

So, this means that if there is a total of 9 bulbs, then 1 bulb in it will be defective.

Let us assume:

Total bulbs = 9

So, this implies that:

Defective bulbs = 1

Constant of proportionality = Defective bulbs / Total bulbs.

Substituting the values in this, we get that:

Constant of proportionality = 1 / 9

Therefore, we get that, the constant of proportionality that relates defective bulbs to total bulbs is 1 / 9.

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AB is congruent to CD as an angle in front of them is congruent so, the sides are also congruent.

So, all coordinates are shown on the graph as follows:

(Refer to the image attached below)

Now, we can see that in the 4th quadrant, two triangles are formed that are ABE and CDE.

Then, we can conclude that:

Therefore, AB is congruent to CD as an angle in front of them is congruent so, the sides are also congruent.

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Answer:

The equation is y=2x+4.hope it's solved

Answer: Neither They were the same shade of Grey.

Step-by-step explanation:

it’s the right answer trust me

Color would be the same for both statue and stone buildings.

Let's, consider paint black as = x

and paint white as = y

If both the paints are mixed then paint z which is grey is formed.

Represented as,

x(black) + y(white) = z(grey)

Whereas, for the stone building double the amount of black and white colors are being used,

2x + 2y = 2z, coating of grey color would be also double.

Canceling 2 from both sides,

x + y = z

x(black) + y(white) = z(grey)

Therefore color would be the same for both statue and stone buildings.

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Using greatest common factor (GCF), the greatest possible length of each pipe is 12 dm.

The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.

If a carpenter has 2 pipes which are 60 dm and 72 dm long, respectively and he cuts them into equal lengths, then the greatest possible length of each pipe is the GCF of 60 and 72.

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

72 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 36, 72

common factors : 1, 2, 3, 4, 6, 12

GCF = 12

Hence, he should cut the two pipes into 12 dm long.

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If you change the 2H₂ to 3H₂ molecules and balance the equation the equation will produce three molecules of water.

The provided chemical equation is,

2H₂ + O₂ → 2H₂O.

Changing 2H₂ with 3H₂

The chemical equation becomes,

3H₂ + O₂ → 2H₂O.

By doing this, the equation has become completely imbalanced,

So first we will balance it,

3H₂ +3/2O₂ → 3H₂O

Now, there will be 3 molecules of water formed.

As we observe the reaction more closely, we can see that the number of atoms of all the elements are equal on both the sides of the reaction.

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In many cases, when we evaluate functions, we just have to replace x with a given value and simplify the expression.

[tex]g(x)=\dfrac{1}{4}x+1[/tex]

⇒ To solve for g(-16), plug in -16 as x:

[tex]g(x)=\dfrac{1}{4}(-16)+1\\\\g(x)=-4+1\\\\g(x)=-3[/tex]

g(-16) = -3

1.

1- I, 2- II, 3- III, 4-IV, 5- V, 6- VI, 7- VII, 8- VIII, 9- IX, 10- X.

2.

26 = 10+10+5+1 = XXVI

17 = 10 + 5+2 = XVII

29 = 10+ 10+ 9 = XXIX

30 = 10+10+10 = XXX

3.

15 = XV

21 = XXI

26= XXVI

33 = XXXIII

35= XXXV

44 = XLIV

49 = XLIX

50 = L

4.

70 = LXX

80= LXXX

83 = LXXXIII

89 = LXXXIX

90= XC

100= C

5.

date today X / X/ XXXXII  = 10/10/2022

the year 2022 = XXXXII

Answer:y=3/5x

Step-by-step explanation:

just plug 3/5 in and you don’t need to add the 0

Considering the product and the sum of the roots of the quadratic function, the numeric value of the expressions are given as follows:

1. [tex]\beta x^2 + \alpha x^2 - \alpha\beta = \frac{1}{4}(x^2 - 1)[/tex]

2. [tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{7}{4}[/tex]

A quadratic function is defined according to the following rule:

y = ax² + bx + c.

In which a and b are the coefficients of the equation.

Supposing that the equation has roots [tex]\alpha[/tex] and [tex]\beta[/tex], the product and the sum of the roots of the quadratic function are given as follows:

In this problem, the equation is:

4x² - x + 1.

Hence the coefficients are:

a = 4, b = -1, c = 1.

Then the product and the sum of the roots of the quadratic function are given as follows:

Then the numeric values for the expressions can be found as follows:

[tex]\beta x^2 + \alpha x^2 - \alpha\beta = x^2(\alpha + \beta) - \alpha\beta = \frac{1}{4}x^2 - \frac{1}{4} = \frac{1}{4}(x^2 - 1)[/tex]

For the second expression:

[tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = \frac{\alpha^2 + \beta^2}{\alpha\beta} = 4(\alpha^2 + \beta^2)[/tex]

The sum of the squares of the roots is:

[tex]\alpha^2 + \beta^2 = (\alpha + \beta)^2 - 2\alpha\beta[/tex]

Hence:

[tex]\alpha^2 + \beta^2 = \frac{1}{16} - \frac{1}{2} = -\frac{7}{16}[/tex]

Then:

[tex]\frac{\alpha}{\beta} + \frac{\beta}{\alpha} = -\frac{28}{16} = -\frac{7}{4}[/tex]

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Answer:

+ 13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

when you see the absolute value and the number is negative or positive it is just the whole number inside

Answer:

13/102

Step-by-step explanation:

We start with 52 playing cards. Of these 52 cards, 13 are diamonds, So the probability of a diamond is 13/52, or 1/4. There are now 51 cards left. Since the diamond is a red card, there are 26 black cards. So the probability of a black card is 26/51. Multiplying 1/4 and 26/51, and then simplifying, we have 13/102.

The answers to both the subparts with the help of probability are:

So, Item A:

The expected value is the total of each result times the associated probability, so:

The $15 wager should have a value of -3.16 dollars.

Item B:

Therefore, the answers to both the subparts with the help of probability are:

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The complete question is given below:
When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number 34 or to bet ​$15 that the outcome is any one of the five possibilities 00 comma 0 comma 1 comma 2 comma or 3. The gambler knows that the expected value of the ​$15 bet for a single number is negative 0.79 cents. For the ​$15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3​, there is a probability of StartFraction 5 Over 38 EndFraction of making a net profit of ​$75 and a StartFraction 33 Over 38 EndFraction probability of losing ​$15. a. Find the expected value for the ​$15 bet that the outcome is 00 comma 0 comma 1 comma 2 comma or 3. b. Which bet is​ better: a ​$15 bet on the number 34 or a ​$15 bet that the outcome is any one of the numbers 00 comma 0 comma 1 comma 2 comma or 3​? ​Why?

Answer: top: x= -15     bottom: x= -37

Step-by-step explanation: First you need to get x by itself so for example on the top one you would do 8-8 to get x alone and then you would also do -7- 8 because whatever you do to one side you have to do to the other.

Hope this helped!!!

When we divide 27 by 7, we have 3; 3 * 7 = 21

27 - 21 = 6; we have a remainder of 6

Divide the remainder by 7, we have 6/7

Therefore, we have:

Answer:

Step-by-step explanation:

8 units is the radius of the circle with a circumference of 16π.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2 × π × r

Where r is radius and π is constant pi ( π = 3.14 )

Given the data in the question;

To find the radius of the circle, plug the given value into the circumference formula and solve for r.

C = 2 × π × r

16π = 2π × r

r = 16π / 2π

r = 16/2

Radius r = 8

Therefore, the radius of the circle is 8.

Option B is the correct answer.

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Answer: 0.049382716

Step-by-step explanation: SOLVE FOR R, X

x=

4

1215

​

=303

4

3

​

=303.75

r=

81

4

​

≈0.049382716

Answer:

Except the last one 3:6 because its not multiplied by six but divided. Therefore the correct answer is the last one

Step-by-step explanation:

hope it helps

Answer:

m<A = 50°

Step-by-step explanation:

supplementary angles add up to 180°

m<B = 2x + 30

we don't know m<A, so we'll say the value of it is x

2x + 30 + x = 180°

3x + 30 = 180

3x = 150

x = 50

plug this value back in for x

m<B = 2(50) + 30 = 130

m<B = 130°

m<A = x = 50

m<A = 50°

to prove these are supplementary angles, 130 + 50 = 180

Answer:

-5/6

Step-by-step explanation:

The reason why the reciprocal is -5/6 is because to isolate the variable with a fraction attached is to multiply it by swapping the numerator and denominator. Also making sure that if the number is a negative, to multiply the number by another negative to cancel it out.

Given,

Sample mean = ±3 of true mean

Standard error = 1.8

Therefore,

Required probability of sample mean being within 3 units of the true mean is,

P ( sample mean - 3 < mean < sample mean + 3 )

= P [( sample mean - 3 ) - mean / 1.8 ] < mean - sample mean / 1.8 < [ ( sample mean + 3 ) - mean / 1.8 ]

= P ( - 1.67 < ∉ < 1.67)

= P (∉ < 1.67) - P( ∉ < 1.67)

= 0.952 - 0.047

= 0.905

Hence, the probability that the sample mean is within 3 units of the true mean if the standard error is 1.8 is 0.905.

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Answer:

- 21

Step-by-step explanation:

They lost 14 yards, then lost and additional 7 more. You would simply add and make it a negative number due to the key word " lost ".

The equation would look like this: -14 + ( -7 ).

Another way to solve this equation is to multiply. ( + ) x ( - ) = -.

Your equation will the look this this: -14 - 7.

Now you just solve.

Thus, your answer should be - 21.

Hopes the helps!

Have a great day.

Answer: -21

Step-by-step explanation:

.A football team will lose an additional 7 yards if they lost 14 on their first play.

. Since the first play resulted in a loss of 14 yards, the integers that reflect the overall change in yards for the two plays are negative.

.In the second play, we score 14 points but lose 7 yards, which is a loss of 7 points.

.Negative 14 + Negative 7 = Negative 21, which is the overall change in yards.

. Hence, the answer would be -21 yards.

. -21 would be the correct integer that will represent the the total change in yards for the two plays.

Polynomials are closed under the multiplication operation, meaning that the result of the multiplication between two polynomials will always be a polynomial.

To multiply polynomials, we first apply the distributive property, multiplying all terms, then we combine the like terms, that is, adding all the terms that have the same exponents.

Since all the factors of the multiplications will be of polynomial terms,  the results of the multiplication will be polynomial, and so will the like terms combined, hence polynomials are closed under the multiplication operation.

One example of multiplication of polynomials is given as follows:

(x² - 1)(x² + 1) = x²x² + x² - x² - 1 = x^4 - 1.

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a)

The perimeter is given by

b)

Then we simplify by summing similar terms we obtain that the expression of the perimeter is