I need help with this question

Answer:

The correct answer is: y = 3x + 6

The quotient of the long division of the polynomial is x²  + x + 4 and the remainder  is 2.

The quotient and remainder of the polynomial using long division is calculated as follows;

                    x²  + x + 4

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

       x + 2 √ x³ + 3x² + 6x + 10

                - (x³ + 2x²)

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

                            x²  + 6x + 10

                        - ( x² + 2x)

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

                                  4x + 10

                             -   (4x + 8)

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

                                         2

Thus, the quotient of the long division of the polynomial is x²  + x + 4 and the remainder of the long division of the polynomial is 2.

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The correct calculation after correcting the error in finding the circumference is 9π

Given that we have a circle of diameter 9 inches

The circumference iis the product of the diameter and pi

So, the step in the question is incorrect because the diameter is taken as the radius

Having mentioned that, the correct solution is

C = π(9)

So, we have

C = 9π

So, the circumference is 9π

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Answer:

a)

Step-by-step explanation:

a) The probability of drawing a green ball on any given draw is 30/50 (since there are 30 green balls out of a total of 50 balls). Since the ball is replace....

The quantity of medication that Mrs Monroe would be given = 60 mg of the medication.

The weight of Mrs Monroe = 165 Ib

To convert pounds (lb) to kg = 165/2.2 = 75kg

If 0.8 mg = 1 kg

X mg. = 75 kg

Make X the subject of formula;

X = 75×0.8/1

= 60 mg

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Answer:

mark me brilliant

Step-by-step explanation:

We can use the given formula to solve for the length of the side of the square-base container:

Volume = side^2 x height

where side is the length of the side of the square base, and height is the height of the container.

We are given that the volume of the container is 3,456 cm³. However, we do not know the height of the container.

To find the length of the side of the square base, we need to first determine the height of the container. We can do this by rearranging the formula:

height = Volume / (side^2)

Plugging in the values we know:

height = 3456 cm³ / (side^2)

We know that the container has a square base, so the length of each side of the base is the same. Therefore, we can write:

Volume = side^2 x side x height

Substituting the expression we found for height:

Volume = side^2 x side x (3456 cm³ / side^2)

Simplifying:

Volume = 3456 cm³ = side^3

Taking the cube root of both sides:

side = ∛3456 cm = 18 cm

Therefore, the length of the side of the square-base container is 18 cm.

The amount of the loan was $1600.

Given that the Luz an Amity owe $600 interest on a loan after 5 years. The rate of simple interest was 7.5%. We need to find the amount of the loan.

So,

SI = principal × rate × time / 100

Therefore,

600 = principal × 5 × 7.5 / 100

60000 = principal × 37.5

Principal = 60000 / 37.5

Principal = 1600

Hence the amount of the loan was $1600.

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An exponential model of the form that represents the amount of ibuprofen in the patients bloodstream in t hours after the medicine is administered is [tex]P(t) = 800e^{\frac{t}{1.8} }[/tex].

The amount of ibuprofen that would be in the patients bloodstream after he is given a second dose of 800 mg in 4 hr after the first dose is 7382.25 mg.

In Mathematics, the future value of a physical substance based on its half-life can be determined or calculated by using this exponential function:

[tex]P(t) = P_{0}e^{\frac{t}{T} }[/tex]

Where:

Based on the information provided above, the required exponential function is given by;

[tex]P(t) = 800e^{\frac{t}{1.8} }[/tex]

After 4 hours, we have;

[tex]P(4) = 800e^{\frac{4}{1.8} }\\\\P(4) = 800e^{2.2222}[/tex]

P(4) = 7382.25 mg

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Answer:

b.) (3x, y)

d.) (6x, y)

e.) (x+2, 2y)

c.) (5x, 5y)

All these transformation rules involve only dilation, reflection or translation, which are the basic similarity transformations.

a. The store should charge $90

b. The first revenue model results in a greater maximum monthly revenue.

a. We have

R(n) = (120 - 6n)(80 + 8n)

using product ruile

δr/δn = (120 - 6n)(8) + (80 + 8n)(-6)

δr/δn = 960 - 48n - 480 - 48n

δr/δn = -96n + 480

Now, we set the derivative to zero and solve for n:

0 = -96n + 480

96n = 480

n = 5

we put n as 5 in the equation

120 - 6x 5

= 120 - 30

= 90

To maximize the revenue then $90 is charged.

b. For the 4 dollar decrease in price R'(n) = (120 - 4n)(80 + 5n)

Using the product rule, we have:

dR'/dn = (120 - 4n)(5) + (80 + 5n)(-4)

this is = 600 - 20n - 320 - 20n

= -40n + 280

equate to 0

-40n + 280 = 0

n = 7

The new price would then be

120 - 4 * 7

= 120 - 28

= 92 dollars

(120 - 65)(80 + 85)

= 90(120)

= $10,800

(120 - 47)(80 + 57)

= 92(115)

= $10,580

The first revenue model results in a greater maximum monthly revenue.

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Answer:

-22

Step-by-step explanation:

The expression is b - 5c.

when b = -2 and c = 4,

we get:

(−2)−5(4)

＝−2−20

＝−22

Answer:

-22

Step-by-step explanation:

b - 5c                         b = -2 and c = 4

-2 - 5(4) = -2 - 20 = - 22

So, the answer is -22

The domain is all real numbers and the range is greater than zero. Then the correct option is A.

Given that:

Function, y = 1/2 · (2)ˣ

The domain means all the possible values of x and the range means all the possible values of y.

The function is an exponential function, then the domain of the function will be all real numbers.

The value of the exponential function is always positive. Then the range will be greater than zero.

The domain is all real numbers and the range is greater than zero. Then the correct option is A.

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Answer: 0.9360

Step-by-step explanation: To find the probability that at least one of the three people has been vaccinated, we need to find the probability that none of them have been vaccinated and then subtract that from 1.

The probability that a person has not been vaccinated is 1 - 0.6 = 0.4. Therefore, the probability that all three people have not been vaccinated is:

P(no one vaccinated) = 0.4 × 0.4 × 0.4 = 0.064

So, the probability that at least one of the three people has been vaccinated is:

P(at least one vaccinated) = 1 - P(no one vaccinated) = 1 - 0.064 = 0.936

Therefore, the probability that at least one of the three people has been vaccinated is 0.936 (to 4 decimal places).

Answer: 0.9360

Answer: its -28

Step-by-step explanation:

i dont know i used a app

Answer:

  (c)  From the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line.

Step-by-step explanation:

You want the description that fits the attached graph of the race run by Romi and her friends.

The graph shows distance increasing for 20 minutes to a distance of 2 miles. 20 minutes later, it shows distance increasing again by 2 miles to a total distance of 4 miles. Again, after 20 minutes, the distance from the starting line is shown decreasing by 4 miles back to zero.

The best description is choice C:

From the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line.

__

The graph was drawn using Desmos.

<95141404393>

The best description of the graph is that Romi ran 2 miles in 20 minutes, rested for 20 minutes, ran another 2 miles in 40 minutes, rested for 20 minutes, and then ran 4 miles back to the start. This corresponds exactly to the line segments depicted on the graph.

The description that best matches the graph of Romi's terrain race is: from the starting line, Romi ran 2 miles in 20 minutes, rested for 20 minutes, jogged 2 more miles away from the starting line in 40 minutes, rested for 20 minutes, and jogged the last 4 miles back to the starting line. This is consistent with the line segments on the graph that correspond to the distance and time of each part of the race.

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This gives us the third term of (3x-2y)6 as 18x5y.

An equation is a mathematical statement that states that two expressions are equal. It is written with an equals sign and can contain numbers, variables, operations, and other mathematical symbols. Equations are used to solve a wide variety of problems in mathematics, science, and engineering.

The third term of the expression (3x-2y)6 can be found by applying the power rule of algebra. The power rule states that when a variable is raised to a power, that power is distributed to the terms of the expression. Therefore, the third term of (3x-2y)6 can be found by distributing the power 6 to the two terms, 3x and -2y. This gives us the third term of (3x-2y)6 as 18x5y.

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The required equation that represents the relation between two types of wood is 45(x + 3) = 60x

An equation is a mathematical statement that contains an equal sign (=) and represents the equality between two expressions.

It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division.

Equations can be solved to determine the value(s) of the variable(s) that make the statement true.

Here we have

A contractor got 45 expensive wood and 60 cheap wood for the same total price. The 45 expensive wood cost $3.00 more than the 60 cheap wood

x = price of the 60 cheap wood  

If 'x' is the price of cheap wood then cost of 60 cheap woods = 60x

The 45 expensive wood cost $3.00 more than the 60 cheap wood

Cost of 45 expensive woods = (x + 3)45 = 45(x + 3)

Here both costs are equal

=> 45(x + 3) = 60x  

Therefore,

The required equation that represents the relation between two types of wood is 45(x + 3) = 60x  

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Answer:  {2, 4}

Step-by-step explanation:

You need to find 2 numbers that multply to +8(last number) and add to -6(middle number)

-4 and -2 satisfy this rule

place in parentheses

(x-4)(x-2)  set both = 0 and solve

x-4 = 0             x-2 = 0

x=4                 x=2

Answer:

Step-by-step explanation:

A = P * (1 + r/n)^(n*t

The function that gives the amount of money in dollars, J(t), in Jamie's account t years after the initial deposit is A = 750(1.0002)^4t. (in dollars)

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

For this case, we're given that:

Initial amount Christina deposits = P = $750

Rate of interest = 2% compounding quarterly

Time = t years

Rate of interest is compounding quarterly.

Each year has 4 quarters.

Quarterly interest rate compounding quarterly = 2%.

t years has 4t quarters = T

Thus, we get the final amount in Christina’s account as

A = P * (1 + r/n)^(n*t)

A = 750(1 + 0.02/100)^4t

A = 750(1.0002)^4t

Thus, the function that gives the amount of money in dollars, J(t), in Christina’s account t years after the initial deposit is A = 750(1.0002)^4t (in dollars)

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Answer:

Recipe A: 4x + 5y = 109

Recipe B: 2x - y = 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

Recipe A: 4x+5y=109

Recipe B: 2x-y=23

the answers are:

Hector may use $25,000 of the capital loss carryover to offset the gain on the redemption.

His income tax liability is $64,000.

what is Hector's tax liability ?

To define means to provide a clear and precise explanation of what something means or refers to. It involves breaking down a concept or term into its key components and providing a thorough understanding of its meaning. A definition can be used to clarify or explain the meaning of a word, idea, or concept to ensure a common understanding between people.

To calculate Hector's tax liability, we need to first determine his gain on the redemption.

Hector received $225,000 in exchange for 2,000 shares, which means he received $112.50 per share (225,000/2,000). His cost basis in the 2,000 shares redeemed is $100 per share, so his gain on the redemption is $12,500 per share ($112.50 - $100 = $12.50).

Hector's total gain on the redemption is therefore $25,000 ($12,500 x 2,000 shares).

Since Hector has a capital loss carryover of $50,000, he can use up to $25,000 of it to offset his gain on the redemption. This will result in a tax liability of 15% on the remaining $25,000 gain, which is $3,750 ($25,000 x 0.15).

Hector's income tax liability will also include the tax on his other income, such as wages or interest income. Assuming he has no other deductions or credits, his total income tax liability will be $64,000.

Therefore, the answers are:

Hector may use $25,000 of the capital loss carryover to offset the gain on the redemption.

His income tax liability is $64,000.

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Answer: -60/61

Step-by-step explanation:

Use pythagorean to solve for x first

61²=11²+x²

x=-60   It's negative because x in the 3rd quadrant is neg

so

cos∅=-60/61

According to the given data the unit vector in the same direction as v is

u = (-5/ sqrt(106))i - (9/ sqrt(106))j.

A unit vector is a vector that has a length or magnitude of 1. In other words, a unit vector is a vector that has been normalized, or scaled down to have a length of 1 while still pointing in the same direction as the original vector.

To find the unit vector in the same direction as v = -5i - 9j, we first need to calculate its magnitude.

The magnitude of v is given by:

|v| = sqrt((-5)^2 + (-9)^2) = sqrt(25 + 81) = sqrt(106)

Now we can find the unit vector in the same direction as v by dividing v by its magnitude:

u = v / |v| = (-5i - 9j) / sqrt(106)

Therefore, the unit vector in the same direction as v is:

u = (-5/sqrt(106))i - (9/sqrt(106))j

Note that the unit vector has a magnitude of 1 and points in the same direction as v.

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The number of students surveyed speak Spanish or Haitian Creole at home are 42.

What is percentage?

Percentage is a part of a whole.

Let the number of students who speak Spanish be S and the number of students who speak Haitian Creole be H. We can set up the following equations based on the given information:

24% of 175 students speak Spanish

So, S = 0.24 x 175

And 12% of 175 students speak Haitian Creole

So, H = 0.12 x 175

We need to obtain the number of students who speak either Spanish or Haitian Creole,

So, S + H - (number of students who speak both languages).

percentage who speak both languages = 100% - (24% + 12%) = 64%

So, the number of students who speak both languages is 0.64 x 175 = 112

Now, we are obtaining the number of students who speak either Spanish or Haitian Creole:

S + H - (number of students who speak both languages) = (0.24 x 175) + (0.12 x 175) - 112

= 42

Therefore, the answer is B) 42, which represents the number of students who speak Spanish or Haitian Creole at home.

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Answer:i think for p its 16 and for A is 64

i just did  8 X 8 = 64 for A and for p i did 8 + 8 = 16  

Step-by-step explanation:

The quotient results from the division is 2x²-8.

We have,

(6x³ - 6x² -24x + 24) / (3x-3)

Performing the division as

                                          3x-3 | 6x³ - 6x² -24x + 24 | 2x² - 8

                                                     6x³ - 6x²

                                               _____________

                                                                0 -24x + 24

                                                                   -24x + 24

                                                                 ____________

                                                                            0

Thus, the quotient is 2x²-8.

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