In the deli, meat and cheese are sold by the pound. There is usually a unit price in each variety in the refrigerator case. If honey ham costs $5.99 per lb, how much would 1.5 lbs cost? Enter your answer as a decimal rounded to the nearest cent.

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.

We are given the two constraints:

x ≥ 5 and y ≥ 10

Now the other constraint must of course be based on the sum of the two. It was given that the budget is $5000 so the sum must be greater than that, that is:

500 x + 150 y ≤ 5000

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

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.

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;

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Answer: The answer is (C) 120 sq. units.

Step-by-step explanation: We are given to find the area of a trapezoid with bases of lengths 8 units and 16 units and height of 10 units.

We know that the area of the trapezoid with 'a' and 'b' as lengths of the bases and height 'h' is given by

[tex]A=\dfrac{1}{2}(a+b)h.[/tex]

Here, a = 8 units, B = 16 units and h = 10 units.

Therefore, the area of the given trapezoid will be

[tex]a\\\\=\dfrac{1}{2}(a+b)h\\\\=\dfrac{1}{2}\times(8+16)\times 10\\\\=24\times 5\\\\=120~\textup{sq. units.}[/tex]

Thus, the correct option is (C).

Answer:

gh

Step-by-step explanation:

Answer:

Step-by-step explanation:

Remember that in a isosceles trapezoid, its angles on the base are always congruent.

Also, we know by definition that the sum of interior angles of a trapezoid is equal to 360°, so

[tex]2(2x)+2(10x+24)=360\\4x+20x+48=360\\24x=360-48\\x=\frac{312}{24}\\ x=13[/tex]

Therefore, the right answer is D.

Answer: 13

a p e x confirmed

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

Answer:

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

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

A number system is defined as a system of writing to express numbers. between 9 and 10  positive integers is the square root of 85 is there.

A number system is defined as a system of writing to express numbers.

We need to find the two consecutive positive integers  which have square root of 85 in between.

Firstly we need to know meaning of consecutive numbers.

Numbers which follow each other continuously in the order from smallest to largest are consecutive numbers.

Let us take some perfect square numbers

1,4,16,25,36,49,64,81,100

We know that square root of 81 is 9

square root of 100 is 10

square root of 85 is in between 9 and 10

Hence between 9 and 10  positive integers is the square root of 85 is there.

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For the parent function y = f(x), the vertical stretching or compression of the function is a f(x). 

If | a | < 1 (a fraction between 0 and 1), then the graph is compressed vertically by a factor of a units.
If | a | > 1, then the graph is stretched vertically by a factor of a units.

For values of a that are negative, then the vertical compression or vertical stretching of the graph is followed by a reflection across the x-axis.

Yes,  Y = 0.3x^2 is correct!!

Answer:

it would cancel eachother out so infinite

Step-by-step explanation:

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.

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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.

Answer:

Hope it helps

Step-by-step explanation: