a polynomial function has a root of -6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

The possible sources of inaccuracy that could have an impact on your results are -

While conducting a scientific experiment, numerous errors—either systematic or random—could happen.

Thus, more measuring is done when the bias is smaller and more measuring is done when the uncertainty is smaller.

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Answer:

{1000, 1100, 1200, 1300, 1400, 1500, 1600}

Step-by-step explanation:

\(\text{Domain is the set of x values}\) (The input)

\(\text{andRange is the set of y values}\) (The output)

\(\text{In this case, y = pay per month}\)

\(\text{so Range = {1000, 1100, 1200, 1300, 1400, 1500, 1600}}\)

The probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

The probability of selecting a Harry Potter DVD at random is dependent on the total number of DVDs and the number of Harry Potter DVDs in the collection. Let's assume there are a total of 100 DVDs and 10 of them are Harry Potter films.

When selecting the first DVD, the probability of picking a Harry Potter film is 10/100 = 1/10.

After selecting the first DVD, there are 99 DVDs left, with 9 Harry Potter films remaining.

When selecting the second DVD, the probability of picking another Harry Potter film, while keeping the first one in hand, is 9/99 = 1/11.

To find the probability of both DVDs being Harry Potter films, we multiply the probabilities: (1/10) * (1/11) = 1/110.

Therefore, the probability that both DVDs will be Harry Potter films is 1/110.

In conclusion, the probability of selecting two Harry Potter DVDs at random, one after the other, is 1/110.

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Answer:

  095

Step-by-step explanation:

You want the bearing from C to D, given that the bearing from D to C is 85° west of north.

The bearing from C to D will be the opposite of the bearing from D to C.

Bearing is measured clockwise from north, so the bearing shown from D to C is -85°. Its opposite is found by adding 180°.

  180° +(-85°) = 95°

The 3-digit bearing of D from C is 095.

Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!

We can use the following formula to calculate the confidence interval for the true proportion:

CI = p ± z*(sqrt(p*(1-p)/n))

where p is the sample proportion, z is the z-score corresponding to the confidence level of 95%, and n is the sample size.

In this case, we have p = 0.56 and n = 982. To find the z-score, we can use a standard normal distribution table or calculator, or we can use the following formula:

z = invNorm((1 + 0.95)/2) = 1.96

where invNorm is the inverse standard normal distribution function.

Substituting the values, we get:

CI = 0.56 ± 1.96*(sqrt(0.56*(1-0.56)/982)) = (0.524, 0.596)

Therefore, at the 95% confidence level, we can estimate that the true proportion of all local residents who are Perry Como fans is between 52.4% and 59.6%.

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Answer:

\(x>5\)

Step-by-step explanation:

\(\frac{x}{25}>5\\\\25(\frac{x}{25})>25(5)\\\\\frac{x}{1}>125\\\\x>125\\\\\underline{x>5}\Longleftarrow\:Answer\)

For circular motion on a circle of radius r, linear speed equals angular speed divided by r. This statement is false.

What is angular speed?

The definition of angular speed is the rate at which angular displacement changes, and it is written as follows -

ω = θ/t

where θ is the angular displacement, t is the time and ω is the angular speed.

The statement says that for circular motion on a circle of radius r, linear speed equals angular speed divided by r.

Consider that an object moves around a circle of radius r at a constant speed v.

If s is the distance travelled in time t around the circle then linear speed v is defined as v = s/t.

Also if θ is the angle swept out by this object in time t then the angular speed is defined as ω = θ/t.

Thus, there is some relationship between linear speed and angular speed -

Linear speed = v = s/t

= rθ/t = r(θ/t) = rω

where is ω measured in radians per unit time and for a circle of radius r, a central angle of radians subtends an arc whose length s is s = rθ.

Hence, notice that linear speed is equal angular speed multiplied, not divided, by r.

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Answer:

f(x) = (x - 2)(x + 1)²(x - 4)³

Step-by-step explanation:

Multiplicity of a polynomial:

1). If the multiplicity is odd, the graph will cross the x-axis at that zero.

2). If the multiplicity is even, the graph will touch the x-axis at that zero.

Since the given graph is just touching the x-axis at x = -1 multiplicity for the zero (at x = -1) will be even.

Similarly, graph is crossing the x-axis at x = 2 and x = 4, multiplicity for the zero will be odd.

So, the function will be,

f(x) = (x - 2)(x + 1)²(x - 4)³

Answer:Answer : f(x)= (x-1)(x+1)^2(x-4)^3

Step-by-step explanation:

1. 3f + 6

2. 12ab - 11a

3. 1t - 12r

4. 3a -1b

pls pls pls pls mark as brainiliest

pls im literally begging you

Answer:

-3f + 6

12ab - 11a

t - 12

-3a - b

Step-by-step explanation:

3f + 10 -6f -4  Combine like terms

(3f -6f) +( 10-4)

-3f + 6

7ab - 2a + 5ab - 9a

(7ab + 5ab) + (-2a - 9a)

12ab + -11a    Adding a negative is the same as subtracting a positive

12ab - 11a

-2t - 8r + 3t - 4r

(-2t + 3t) + (-8r - 4r)

t + -12r

t - 12

2a + 9b - 5a - 10b

(2a - 5a) + ( 9b -10b)

-3a - b

Answer:

120 degrees

Step-by-step explanation:

im a god cuz happppy

Answer:

120 lol

Step-by-step explanation:

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

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Answer:

The smallest number all three numbers can be divided by is 4.

Step-by-step explanation:

12/4=3

16/4=4

24/4=6

Hope this helps!

If not, I am sorry.

The translational angular momentum of the space junk about location D just before the collision can be found by plugging the values of r_perp and p.

To calculate the translational angular momentum of the space junk about location D, we need to consider its linear momentum and the perpendicular distance from location D to the line of motion.

Step 1: Identify the linear momentum of the space junk
Linear momentum (p) is the product of mass (m) and velocity (v). Assuming we know the mass and velocity of the space junk, we can find its linear momentum:

p = m * v

Step 2: Determine the perpendicular distance (r_perp) from location D to the line of motion
As mentioned, r_perp remains the same at locations A, B, and just before reaching C.

Step 3: Calculate the translational angular momentum (L) about location D
Translational angular momentum is given by the formula:

L = r_perp * p

Since r_perp and p remain constant at locations A, B, and just before reaching C, the translational angular momentum of the space junk about location D will be the same at all these locations.

So, the translational angular momentum of the space junk about location D just before the collision can be found by plugging the values of r_perp and p into the formula above.

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The set of all glide-reflections and translations satisfies all four group axioms (closure, associativity, identity, and inverses), we can conclude that the statement is true.

The set of all glide-reflections and translations of E is a group. This is because the set satisfies all the properties of a group.

The composition of any two glide-reflections or translations is another glide-reflection or translation.

Identity element: The identity element of the group is the identity transformation, which is a translation that does not move anything.

Every glide-reflection or translation has an inverse, which is another glide-reflection or translation that reverses its effects. It is true.

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Answer:

AB = 9

Step-by-step explanation:

The perpendicular bisector divides Δ ABC into 2 congruent triangles, that is

Δ ABD ≅ Δ ACD , then

AB = AC = 9

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. The length of AB is 9 units.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Given that:

Line AD ⊥ar  bisector of BC.

BD=DC= 6 units

AC= 9 units

In △ABD and △ACD, we have

DB=DC (Given)

∠ADB=∠ADC  

(AD⊥BC)AD=AD (Common)

∴ by the SAS criterion of congruence, we have.

△ABD≅△ACD

⇒ AB=AC    (corresponding parts of congruent triangles are equal)

∴AB=AC= 9 units.

Therefore, the length of AB is 9 units.

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Answer:

cccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccc

It takes Bill approximately 6.5 hours to clean the house alone. Since it takes Billy one hour longer, it takes him approximately 7.5 hours to clean alone.

Let's denote the time it takes Bill to clean the house alone as "x" hours. According to the given information, it takes Billy (the son) one hour longer to clean alone than it takes his dad. Therefore, it takes Billy "x + 1" hours to clean alone. When they work together, they can clean the house in 4 hours. We can set up the following equation based on their combined work rate:

1/x + 1/(x + 1) = 1/4

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

(2x + 1) / (x * (x + 1)) = 1/4

Cross-multiplying, we have:

4(2x + 1) = x * (x + 1)

\(8x + 4 = x^2 + x\\x^2 - 7x - 4 = 0\)

Now we can solve this quadratic equation. Using the quadratic formula, we get:

x = (-(-7) ± √((-7)² - 4 * 1 * (-4))) / (2 * 1)

x = (7 ± √(49 + 16)) / 2

x = (7 ± √65) / 2

Since the time taken cannot be negative, we consider the positive root:

x = (7 + √65) / 2

≈ 6.5

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Answer:

8

Step-by-step explanation:

5x-8 = 2x+16

Move 2x to the left side and you get 3x-8 = 16

Move -8 to the right side and you get 3x = 24

Divide 3 on both sides and you get x = 8

Calculation:Here, å = 3j + k, b = 21-j+2e, a is not given.So, we cannot calculate the dot product between these vectors as a is missing.

The given terms are "vectors", "Calculate", and "å= 3j+ k". Dot product of vectors:The dot product of two vectors is also known as the scalar product of vectors. It's a binary operation that accepts two vectors as inputs and generates a scalar number as output. It is mathematically expressed as:A.B = AB cosθWhere A and B are vectors, AB is the magnitude of vectors, and θ is the angle between them.Calculation:Here, å = 3j + k, b = 21-j+2e, a is not given.So, we cannot calculate the dot product between these vectors as a is missing.Thus, the given question cannot be answered with the given data.

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(i) The derivative of f(x) = x³ is f'(x) = 3x².

(ii) The derivative of g(t) = 800√(3t^8 - 17) is g'(t) = (400/√(3t^8 - 17)) * (24t^7).

(i) To compute the derivative of the function f(x) = x³, we can apply the power rule. The power rule states that if we have a function of the form f(x) = x^n, where n is a constant, the derivative is given by f'(x) = nx^(n-1).

Applying the power rule to f(x) = x³, we have:

f'(x) = 3x^(3-1) = 3x².

Therefore, the derivative of f(x) = x³ is f'(x) = 3x².

(ii) To compute the derivative of the function g(t) = 800√(3t^8 - 17), we can use the chain rule. The chain rule states that if we have a composite function of the form f(g(x)), the derivative is given by f'(g(x)) * g'(x).

Let's break down the function g(t) = 800√(3t^8 - 17) into two parts:

f(u) = 800√u, where u = 3t^8 - 17, and

g(t) = 3t^8 - 17.

Taking the derivative of f(u) = 800√u with respect to u using the power rule, we have:

f'(u) = 400/u^(1/2) = 400/√u.

Next, we take the derivative of g(t) = 3t^8 - 17 with respect to t using the power rule:

g'(t) = 8 * 3t^(8-1) = 24t^7.

Finally, applying the chain rule, we have:

g'(t) = f'(g(t)) * g'(t) = (400/√(3t^8 - 17)) * (24t^7).

Therefore, the derivative of g(t) = 800√(3t^8 - 17) is g'(t) = (400/√(3t^8 - 17)) * (24t^7).

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Answer:

88°

Step-by-step explanation:

r+92= 180

r= 180-92

r = 88°

Answer:

5

Step-by-step explanation:

The probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

Without loss of generality, we can assume that Alice selects a ball from her bag and puts it into Bob's bag first.

At the start, there are a total of 5 balls in each bag, so the probability of Bob selecting the same ball that Alice put into his bag is 1/5. After this exchange, each bag now contains 6 balls.

Now, Alice randomly selects a ball from her bag, which has 6 balls in total. The probability of Alice selecting the same ball that Bob put into her bag is also 1/6.

To find the overall probability, we multiply the probabilities of both events occurring:

Probability = (1/5) \(\times\)(1/6) = 1/30.

Therefore, the probability that after this process the contents of the two bags are the same is 1/30 or approximately 0.0333.

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Answer:

∠B ≅ ∠Y

△ABC ~ △ZYX by the SAS similarity theorem.

Step-by-step explanation:

The quadratic equation with zeros at -6 and 2 is y² + 4y - 12 = 0. This is in standard form, which is ax² + bx + c = 0, with a = 1, b = 4, and c = -12.

To find the quadratic equation with zeros at -6 and 2, we can start by using the fact that if a quadratic equation has roots x₁ and x₂, then it can be written in the form

(y - x₁)(y - x₂) = 0

where y is the variable in the quadratic equation.

Substituting the given values of the zeros, we get

(y - (-6))(y - 2) = 0

Simplifying this expression, we get

(y + 6)(y - 2) = 0

Expanding this expression, we get

y² - 2y + 6y - 12 = 0

Simplifying this expression further, we get

y² + 4y - 12 = 0

So the quadratic equation with zeros at -6 and 2 is

y² + 4y - 12 = 0

This is the standard form of a quadratic equation, which is

ax² + bx + c = 0

where a, b, and c are constants. In this case, a = 1, b = 4, and c = -12.

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Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

Answer:

x = -7
x = -3

Step-by-step explanation:

Given the following question:

\(2\left|x+5\right|=4\)

To find the answer to this question we have to remember to apply the absolute value. The absolute value means we have to convert any negative within the lines into positive.

\(2\left|x+5\right|=4\)
\(\frac{2\left|x+5\right|}{2}=\frac{4}{2}\)
\(\left|x+5\right|=2\)
Apply absolute value:
\(x+5=-2\)
\(x+5=2\)
Solve each equation:
\(x+5=-2\)
\(5-5=0\)
\(-2-5=-7\)
\(x=-7\)
\(x+5=2\)
\(5-5=0\)
\(2-5=-3\)
\(x=-3\)


Your answers are "x = -3 and x = -7."

Hope this helps.

Answer:

x = -3

x= -7

Step-by-step explanation:

l x + 5 l = 4/2

(x + 5) = 2 or - (x + 5) = 2

- (x + 5) - 5 = 2 - 5

x = -3

- x - 5 = 2

- x - 5 + 5 = 2 + 5

-x = 7

x = -7