If the zeros of a polynomial function are 4, -2, and 6+9i. Then does the polynomial have 3 zeros total?

The two trends on the graph are:

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

The graph

The two trends on the graph are:

For the positive correlation, we have

Upward trend from January till August

This is because the function values increase approximately in this domain

For the negative correlation, we have

Upward trend from August till December

This is because the function values decrease approximately in this domain

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Answer:

Step-by-step explanation

· It costs about $2.34 per square foot on average to hang sheetrock on the ceiling, with a range of approximately $2.07 to $2.61 per square foot. Expect to pay between $500 and $700 to hang and finish sheetrock on the ceiling. However, the overall cost depends on the room’s size, height, and finish options.

Here we do a small diagram just to help us to understand the problem

Let's say that we have 2 types of ice cream (circles), 3 toppings (triangles), and 2 syrups (squares), if we fix the ice cream we have 3 choices of topping, and for each topping, we have 2 syrups, a total of 6 combinations, if we do the same for the other icecream we will have 12 combinations, this smaller problem is the same logic of the bigger problem, in fact, to find the combination we just have to multiply the number of ice creams, the toppings and the syrups.

To see that let's use the same argument, fix the ice cream, we have 16 toppings, and for each topping, we have 5 syrups, a total combination of 80, now -fo the same for the other ice cream we have more 80 combinations, then, the total of combinations will be

We have a total of 160 combinations, the letter A is correct

Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

About 60 pecent

Step-by-step explanation:

Answer: 832 possible outcomes

To find the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards, we need to multiply the number of outcomes for each event.

The number of outcomes for a coin toss is 2 (heads or tails), and we toss the coin 4 times. Therefore, the number of outcomes for the coin tosses is:

2 x 2 x 2 x 2 = 16

The number of outcomes when selecting a card from a standard deck of cards is 52. Therefore, the total number of outcomes when a coin is tossed four times and a card is selected from a standard deck of cards is:

16 x 52 = 832

So there are 832 possible outcomes when a coin is tossed four times and a card is selected from a standard deck of cards.

Answer:

Question 1: 21

Question 2: 6

Question 3: -3

Question 4: 9

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer:

  156,240,000 miles

Step-by-step explanation:

The speed of light is about 186,000 mi/s. The distance is then ...

  (14 min)(60 s/min)(186,000 mi/s) = 156,240,000 mi

Mars was about 156 million miles from Earth.

Answer:

10.2 as a fraction is 10.2/1.

Step-by-step explanation:

Basically you keep the numerator and have 1 as your denominator.

The fraction for the given decimal number is \(10\frac{1}{5}\).

The given decimal number is 10.2.

Fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Here, in the decimal number 10.2, after decimal point there is one digit.

So, divide 102 by 10.

Now, 10.2 = 102/10

= 51/5

= \(10\frac{1}{5}\)

Therefore, the fraction for the given decimal number is \(10\frac{1}{5}\).

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Answer:

42

Step-by-step explanation:

Answer:

42

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

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Answer:

The length of the short side is 14.5 units, the length of the other short side is 18.5 units, and the length of the longest side is 23.5 units.

Step-by-step explanation:

The Pythagorean Theorem

If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

This relationship is represented by the formula:

                                                     \(a^2+b^2=c^2\)

Applying the Pythagorean Theorem  to find the lengths of the three sides we get:

\((x)^2+(x+4)^2=(x+9)^2\\\\2x^2+8x+16=x^2+18x+81\\\\2x^2+8x-65=x^2+18x\\\\2x^2-10x-65=x^2\\\\x^2-10x-65=0\)

Solve with the quadratic formula

\(\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\)

\(x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\)

\(\mathrm{For\:}\quad a=1,\:b=-10,\:c=-65:\quad x_{1,\:2}=\frac{-\left(-10\right)\pm \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}\\\\x_{1}=\frac{-\left(-10\right)+ \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5+3\sqrt{10}\\\\x_{2}=\frac{-\left(-10\right)- \sqrt{\left(-10\right)^2-4\cdot \:1\left(-65\right)}}{2\cdot \:1}=5-3\sqrt{10}\)

Because a length can only be positive, the only solution is

\(x=5+3\sqrt{10}\approx 14.5\)

The length of the short side is 14.5, the length of the other short side is \(14.5+4=18.5\), and the length of the longest side is \(14.5+9=23.5\).

1. The of jigsaw puzzles is 216 and crossword puzzle is 261.

2. 22 table lamps were left in the warehouse.

1. Crossword Puzzle Books and Jigsaw Puzzles:

Let's the number of jigsaw puzzles as "x".

then, the number of crossword puzzle books will be "x + 45"

Now, Number of sold crossword puzzle books = (5/9) (x + 45)

= (25/100) x

= x/4

It is also given that there were 91 more crossword puzzle books sold than jigsaw puzzles. Therefore, we can set up the equation:

(5/9) (x + 45) - (x/4) = 91

(5/9)x + 25 - (x/4) = 91

(20/36)x + 25 - (9/36)x = 91

(11/36)x = 91 - 25

(11/36)x = 66

x = (36/11)  66

x ≈ 216

So, the number of jigsaw puzzles is 216 and the number of crossword puzzle books is 216 + 45 = 261.

2. Table Lamps and Standing Lamps:

Let's the number of table lamps as "x".

then, the number of standing lamps will be "155 - x"

So, Number of table lamps = (60/100) x = 0.6x

and, Number of standing lamps

= (80/100) (155 - x)

= 0.8(155 - x)

= 124 - 0.8x

Therefore, the number of table lamps left will be:

Remaining table lamps = (70/100) * 0.6x = 0.42x

To find the value of x, we can set up the equation:

0.42x = x - 30

Simplifying the equation:

x - 0.42x = 30

0.58x = 30

x = 30 / 0.58

x ≈ 51.72

So, the number of table lamps left is 0.42 x 51.72 ≈ 21.68.

Thus, 22 table lamps were left in the warehouse.

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Answer:

4x + 7x - 2 + 5x - 10 = 180

16x - 12 = 180

16x = 192

x = 12

m<A= 4x = 4(12) = 48

m<B = 7x - 2 = 7(12) - 2 = 84 - 2 = 82

m<C = 5x - 10 = 5(12) - 10 = 60 - 10 = 50

Step-by-step explanation:

.

Considering a linear function for the radius, we have that:

A linear function is modeled by:

\(y = mx + b\)

In which:

The volume of a sphere of radius r is given by:

\(V = \frac{4\pi r^3}{3}\)

In this problem, radius r increases at the rate of 0.03 inches per second and that r=48, hence it is represented by the following linear function:

\(r(t) = 0.03t + 48\)

Thus, the volume of the sphere is given by:

\(V = \frac{4\pi r(t)^3}{3}\)

\(V(t) = \frac{4\pi(0.03t + 48)^3}{3}\)

After 300 seconds, the volume in cubic inches is given by:

\(V(300) = \frac{4\pi(0.03(300) + 48)^3}{3} = 775735\)

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Answer:

\(\frac{9}{10}\)

Step-by-step explanation:

\(\frac{2}{5} +\frac{3}{6}\)

\(\frac{12}{30} +\frac{15}{30}\)

\(\frac{27}{30}\)

\(\frac{9}{10}\)

Answer:

Some companies promise higher interest rates in order to attract the attention of investors.

Step-by-step explanation:

The correct option is (d) : Some companies promise higher interest rates in order to attract the attention of investors.

Bonds are investment securities where an investor lends money to a company or a government for a set period of time, in exchange for regular interest payments.

Once the bond reaches maturity, the bond issuer returns the investor’s money.

Interest rate risk is the overall change in interest rate which reduce the value of a bond.

As interest rates rise, bond prices fall, and vice versa.

Interest rate risk is measured by an incomes' security in a long term goal.

Interest rate risk can be reduced through the bond maturities or hedged using interest rate derivatives.

So,  some companies promise higher interest rates in order to attract the attention of investors.

Hence, some companies promise higher interest rates in order to attract the attention of investors. The option (d) is correct.

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The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The table is given below.

x      y

0     0

3      2

6      4

9      6

The variable 'y' is directly proportional to the variable 'x'. Then we have

y ∝ x

y = k x

At (9, 6), the value of the constant 'k' is given as,

6 = 9k

k = 6 / 9

k = 2/3

The proportionality is given as,

y = (2/3) x

The constant of proportionality in the box to match the table will be 2/3. Then the last option is correct.

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Answer:

  x = 40

  y = 70

Step-by-step explanation:

The two base angles of the isosceles triangle are congruent. y° and the external angle 110° form a linear pair.

  y° = 180° -110° = 70°

  y = 70

__

The external angle 110° is equal to the sum of the remote interior angles x° and y°.

  110 = x + y

  x = 110 -y = 110 -70

  x = 40

I believe the answer is a

explanation:

9×2= 18

9×1= 9

which leaves us with 18 9/6

and that simplified is 19 1/2

Answer:

  (x, y) = (17, 10)

Step-by-step explanation:

You want the values of x and y given three angles written in terms of x and y at a transversal crossing parallel lines.

Angles at lower right of the points of intersection are corresponding angles, and are congruent:

  (9x -16)° = (8x +1)°

  x = 17 . . . . . . . . . . . . . divide by °, add 16-8x

The marked angles at the bottom form a linear pair, so are supplementary.

  (4y +3)° = 180° -(9x -16)°

  4y +3 = 180 -9(17) +16 = 43 . . . . . . use 17 for x and simplify

  4y = 40 . . . . . . subtract 3

  y = 10 . . . . . . divide by 4

The fifth term of the geometric sequence is 324.

To find the fifth term of the geometric sequence with a first term of 4 and a common ratio of -3, we can use the formula for the nth term of a geometric sequence.

The formula for the nth term of a geometric sequence is given by:

\(a_n = a_1 \times r^{(n-1)\)

Where:

\(a_n\) represents the nth term of the sequence,

\(a_1\) is the first term of the sequence,

r is the common ratio of the sequence, and

n is the position of the term we want to find.

In this case, we are looking for the fifth term (n = 5), the first term is 4 (a_1 = 4), and the common ratio is -3 (r = -3).

Plugging these values into the formula, we have:

\(a_5 = 4 \times (-3)^{(5-1)\)

Simplifying the exponent:

\(a_5 = 4 \times (-3)^4\)

Calculating the value of the exponent:

\(a_5 = 4 \times 81\)

\(a_5 = 324\)

Therefore, the fifth term of the geometric sequence is 324.

It's important to note that the common ratio being negative (-3) indicates that the terms in the sequence alternate in sign.

In this case, the sequence would be: 4, -12, 36, -108, 324.

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Answer:

(x,y)= (-92/35,233/70)

Step-by-step explanation:

The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.

P(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)

P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)

Using a calculator or software, we can find that:

P(X <= 4) = 0.000203

This means that the probability is 0.02%.

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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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