What is (-3+2i)(-6-8i)

Answer:

4. If i know the picture you're talking about it would be 4.

Step-by-step explanation:

Answer:

The answer is 42!!! I just took test.

Step-by-step explanation:

Answer: Every 60th caller would win both.

Step-by-step explanation:

Since we have given that

every 12th caller receives a free concert ticket.

And

every 15th caller receives a limo ride.

We need to find the first caller who would win.

So, for this we would find L.C.M. of 12 and 15.

And we know the least common multiple of 12 and 15 is 60.

Hence , every 60 th caller would win both.

Final answer:

Rodney sold 16 cars and Greg sold 8 cars in March.

Explanation:

Let's start by representing the number of cars sold by Rodney and Greg in March as variables. Let R represent the number of cars sold by Rodney and G represent the number of cars sold by Greg.

Given that Rodney sold twice as many cars as Greg in March, we have the equation R = 2G.

In April, Rodney sold 5 fewer cars than he did in March, so we have the equation R - 5.

Greg sold 3 more cars than he did in March, so we have the equation G + 3.

Lastly, we know that they sold the same number of cars in April, so we can set R - 5 = G + 3.

Now, we can solve the system of equations to find the values of R and G. Substituting R = 2G into the last equation, we get 2G - 5 = G + 3. Solving for G, we find G = 8. Substituting this value back into the equation R = 2G, we get R = 16.

Therefore, Rodney sold 16 cars and Greg sold 8 cars in March.

Rodney: 16 cars

Greg: 8 cars

Realized income refers to the amount of income you expect to have, not yet received, including anticipated earnings and future investments.

Realized income represents the income an individual or entity expects to receive but has not yet received. It encompasses anticipated earnings, future investments, and any other income sources that have not yet materialized.

This includes income from salaries, investments, rental properties, or any other sources.

Unlike earned income, which refers to income already received, realized income is a forward-looking concept, reflecting the anticipated financial gains.

It plays a crucial role in financial planning and budgeting, guiding individuals and organizations in making decisions about expenditures, savings, and investment strategies based on expected future income streams.

Answer:

If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.

35.36

atoms

The linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

Pedro works as a newspaper deliverer. He receives a base pay plus an additional amount per newspaper delivered.

x = the number of newspapers Pedro delivers

y =  the earnings he receives in dollars.

From the data given the linear function can be framed as follows:

y = mx + b

Plug x = 5

y = 37.50

37.50 = 5m + b ...(I)

Plug x = 20, and y = 75

75 = 20m + b ...(II)

After solving equation (I) and equation (II):

m = 2.5

b = 25

y = 2.5x + 25

Replace y with g(x)

g(x) = 2.5x + 25

Thus, the linear function models the scenario is g(x) = 2.5x + 25 if He receives a base pay plus an additional amount per newspaper delivered option (C) is correct.

Learn more about the function here:

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Final answer:

The range of the given function is {3, 5, 7}.

Explanation:

The range of a function refers to the set of all possible output values (y-values) it can produce. Given the function represented by the set of ordered pairs {(-4,3), (-1,3), (0,3), (1,5), (3,7)}, to determine its range, we look at the second elements in each ordered pair since they correspond to the y-values produced by the function.

The y-values in the given set are 3, 3, 3, 5, and 7. Even though the value 3 is repeated, it is only counted once in the range. Thus, the range of this function is the set {3, 5, 7}.

Remember, the range includes all unique y-values that the function outputs. This set contains the different y-values that the function produces according to the given ordered pairs, which means these are the possible values that we can get as outputs from this function.

After solving the system of linear equations, Malik has 123 domestic stamps and 89 foreign stamps.

Given the following system of equations:

[tex]x - y = 34\\\\x + y = 212[/tex]

To solve the system of linear equations, we would use the elimination method:

Adding the two equations together, we have:

[tex]2x = 246[/tex]

Dividing both sides by 2, we have:

[tex]x = \frac{246}{2}[/tex]

x = 123 domestic stamps

To find the value of y:

[tex]x + y = 212\\\\y = 212 - x\\\\y = 212 - 123[/tex]

y = 89 foreign stamps

Read more: https://brainly.com/question/3600420

Simply C Because well Nowadays You Have To Have Credit For Everything And Its Crazy When Your A Teenager Living On Your Own Without Any Credit. I Had To Buy Things For Around The House And Eventually Bought A $5,000 Bed Set

Solution: As given, Volume of a rectangular prism is given by the formula V = l w h, where l is the length of the prism, w is the width, and h is the height.

also , h=2x+9

l= x+2

w= 3 x

So, volume of prism= (2 x+9)(x+2)(3 x)= (3 x)(2 x+9)(x+2)→Using associative property

       =3 x[2 x(x+2)+9(x+2)]→Using (x+a)(x+b)= x(x+a)+a(x+b)=x²+(a+b)x+ab

      = 3 x [ 2 x²+ 4 x+ 9 x+18]

      = 3 x[ 2 x² +13 x+18]

 = (3 x)(2 x²) + (3 x)×(13 x) + (3 x)×(18)→ Using distributive property

= 6 x³+ 39 x² + 54 x → [ use [tex]x^{m} \times x^{n}= x^{m+n}[/tex]

Option (C) is correct.

The expression which represents the volume of the rectangular prism is; Choice C: 6x³+39x²+54x

The volume of the rectangular prism as given is;

where, h=2x+9, l= x+2, and w= 3x

Therefore, Volume;

Read more on volume of rectangular prism;

https://brainly.com/question/3867601

Final answer:

The standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3 is x² = -12y.

Explanation:

To find the standard form of the equation of a parabola with a given focus and directrix, we use the definition of a parabola: the locus of points equidistant from the focus and the directrix. Since the focus is at (0, -3) and the directrix is y = 3, the vertex is halfway between the focus and directrix, at (0, 0). The distance from the vertex to the focus (and to the directrix) is 3 units. The standard form of the parabola opening downwards is

(x - h)² = -4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus, when the parabola opens upwards or downwards.

Substituting the values for the vertex and p, we get

(x - 0)² = -4(3)(y - 0)

which simplifies to

x² = -12y

This is the standard form of the parabola with the given focus and directrix.

We can create a parabola equation of the trajectory using the vertex form:

y = a (x – h)^2 + k

The center is at h and k, where h and k are the points at the maximum height so:

h = 250

k = 120

Therefore:

 y = a (x – 250)^2 + 120

At the initial point, x = 0, y = 0, so we can solve for a:

0 = a (0 – 250)^2 + 120

0 = a (62,500) + 120

a = -0.00192

So the whole equation is:

y = -0.00192 (x – 250)^2 + 120

So find for y when the golf ball is above the tree, x = 400:

y = -0.00192 (400 - 250)^2 + 120

y = 76.8 ft

So the ball cleared the tree by:

76.8 ft – 60 ft = 16.8 ft

Answer:

16.8 ft