MATHEMATICS MIDDLE SCHOOL

If c(x) = 4x – 2 and d(x) = x^2+ 5x, what is (c circle d) (x)?

Answers

Answer 1

Answer:

Answer:

4x² + 20x - 2

Step-by-step explanation:

To evaluate (c ￮ d)(x), substitute x = d(x) into c(x)

c(x² + 5x)

= 4(x² + 5x) - 2

= 4x² + 20x - 2

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Order of operations- usually, one egg is released each month during a female's reproductive years. If menstruation begins at 12 years of age and ends at 50 years of age, calculate the number of eggs her body can release during her reproductive years.

Answers

You have to subtract 12 from 50 to get 38 and multiply it by 12 (number of months) to get 456 eggs

Answer:

Step-by-step explanation:

Most people will have the strong desire to conceive a child at some point during their lifetime. Understanding what defines normal fertility is crucial to helping a person, or couple, know when it is time to seek help. Most couples (approximately 85%) will achieve pregnancy within one year of trying, with the greatest likelihood of conception occurring during the earlier months. Only an additional 7% of couples will conceive in the second year. As a result, infertility has come to be defined as the inability to conceive within 12 months. This diagnosis is therefore shared by 15% of couples attempting to conceive. We generally recommend seeking the help of a reproductive endocrinologist if conception has not occurred within 12 months. However, there are various scenarios where one may be advised to seek help earlier. These include:

Two litres of water are poured into an empty rectangular tank of length 25cm and width 20cm.The water completely fills the tank, without it overflowing.
calculate the depth of the tank

Answers

1000 cubic cm = 1 liter

V=WHL
2000 cubic cm=W(20)(25)
2000 cubic cm=W(500)
2000/500 = 4

depth = 4cm

1 litre = 1000 cm³

thus, 2 litre = 2000cm³

volume = lbh

2000cm³ = 25 x 20 x h

2000cm³ = 500 x h

Thus, h = 4 cm.

Thus, the depth of tank is 4 cm

What is the lim of (((1/x)-(1/2))/x-2) , as x approaches 2

Answers

I assume the denominator is $x-2$ .

$\lim_(x\to2)((1)/(x)-(1)/(2))/(x-2)=\n\lim_(x\to2)((2)/(2x)-(x)/(2x))/(x-2)=\n\lim_(x\to2)((2-x)/(2x))/(x-2)=\n\lim_(x\to2)(2-x)/(2x(x-2))}=\n\lim_(x\to2)-(x-2)/(2x(x-2))}=\n\lim_(x\to2)-(1)/(2x)}=\n-(1)/(2\cdot2)=\n-(1)/(4)=$

Round 2.36 to the nearest tenth

Answers

Answer: 2.4

Step-by-step explanation:

2.36 Round off to the nearest tenth is 2.4

Answer:

2.4

Step-by-step explanation:

How many 1-in. cubes can fit into a 2 by 4 by 2 in.
prism?

Answers

Answer:

Step-by-step explanation:

The dimensions of the base of the prism are 4" by 2"; the height is 2".

Looking at the base, we see that (4)(2), or (8) 1" cubes would cover it exactly and wholly. We'd have a 3-dimensional prism with one layer of 1" cubes.

Now if we add a second layer right on top of the first layer, we'd have used (16) 1" cubes.

To find out how many 1 inch cubes can fit into a prism, we need to find the volume of both the prism and cube.

Cube:

V = 1 x 1 x 1

V = 1 in^3

Prism:

V = 2 x 2 x 4

V = 16 in^3

Then, we'll divide the volume of the prism by the volume of a single cube to figure out how many cubes can fit inside the prism.

16 / 1 = 16

16 1-inch cubes can fit into a 2 by 4 by 2 prism.

Hope this helps!! :)

Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments. Travis has passed 11 tests, and his classmate, Jenifer, has passed 2 tests. Going forward, Travis plans to pass 2 tests per week. Meanwhile, Jenifer plans to pass 5 tests per week. Eventually Jenifer will catch up to Travis. When the number of tests each student has passed are equal, how many tests will each student have passed and how many weeks will it take?

Answers

Answer:
Each will have passed 17 tests and it will take 3 weeks.

Explanation:
Let x be the number of weeks.
The number of tests Travis passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests Jenifer has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

Setting these equal, we have:
11+2x=2+5x.

Subtract 2x from each side:
11+2x-2x=2+5x-2x;
11=2+3x.

Subtract 2 from each side:
11-2=2+3x-2;
9=3x.

Divide both sides by 3:
$(9)/(3) = (3x)/(3)$ ;
3=x.

It will take 3 weeks.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.

Answer:

Each will pass 17 test after 3 weeks.

Step-by-step explanation:

Consider the provided information,

Let x is the number of weeks.

Travis has passed 11 tests and plans to pass 2 tests per week.

$11+2x$