Which statement describes the sequence defined by an
n3 +3?
n2-60
O The sequence diverges.
O The sequence converges to a limit of 0.
O The sequence converges to a limit of infinity
O The sequence converges to a limit of - infinity

9514 1404 393

Answer:

Step-by-step explanation:

The conventional way to work these problems is to make use of the formulas for areas of a triangle, rectangle, and semicircle. If you've used these formulas for a while, you recognize that they give you certain relationships that may make these problems easy to do mentally.

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1. The area of a triangle is half the product of height and width, so is equivalent to the area of a rectangle either half as high, or half as wide. We note that the width of the sail is 5 cm, so half that is 2.5 cm--exactly the same as the height of the boat's hull. That means we can add the height of the sail to the length of the boat, and the total area can be considered to be the same as that of a rectangle that is

  2.5 cm high × (12 cm + 6 cm) long = (2.5)(18) cm² = 45 cm²

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2. The usual formula for the area of a circle is ...

  A = πr²

When expressed in terms of diameter, this becomes ...

  A = π(d/2)² = (π/4)d²

Then the area of a semicircle is half that, or (π/8)d². This is equivalent to the area of a rectangle that is "d" wide and "π/8·d" high. That is, the approximate area of the semicircle is that of a rectangle 4 cm high by (π/8·4 cm) = π/2 cm wide. In other words, the semicircle effectively adds π/2 cm to the left end of the 6 cm central rectangle of the figure.

As discussed above, the area of a triangle is equivalent to the area of a rectangle half as high. In this figure, the triangle is 10-6 = 4 cm wide, so can be considered to contribute 4/2 = 2 cm to the right end of the 6 cm central rectangle.

If we consider π ≈ 3, then the approximate area of the figure is ...

  (4 cm)(3/2 cm + 6 cm + 2 cm) = (4)(9.5) cm² = 38 cm²

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The exact value is 4(8+π/2) = 32+2π ≈ 38.283 cm².

Answer:

I cant see the answers to help you.

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are two 35° angles, so the triangle is isosceles.

Answer:

−8p−3

Step-by-step explanation:

Answer:

The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the

same price, d.

6) Which model represents the situation?

Answer: 20

Step-by-step explanation:

Answer: Plz don't come for me if its wrong but I think the answer is 21

Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21

Answer:

9880

Step-by-step explanation:

[tex]C^3_{40}=\frac{40!}{3!(40-3)!} =\frac{40!}{3!*37!}=13*19*40=9880.[/tex]

The probability that a student is a female given that they have an A is 0.2

The given parameters are:

Female = 11

A= 10

Female and A = 2

The probability is calculated using:

P(Female given A) = P(female and A)/P(A)

This gives

P(Female given A) = 2/10

Simplify

P(Female given A) = 0.2

Hence, the probability that a student is a female given that they have an A is 0.2

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#SPJ1

Answer:

£59

Step-by-step explanation:

3×37=111 111-5=106

5×36=185 185-20=165

165-106=59

Answer:

100 = 2x + 4y

Step-by-step explanation:

Answer:

I believe that it is false

Answer:

His sister sent 6 more messages than Diego.

Step-by-step explanation:

Ratio of Diego's messages to his sister's messages = 3 : 4

Text messages sent by Diego = 18

Text messages sent by his sister = x

Ratio = 18 : x

It is a proportional relationship,

3 : 4 :: 18 : x

Product of extremes = Product of means

3x = 18*4

3x = 72

[tex]\frac{3x}{3}=\frac{72}{3}\\x=24[/tex]

Difference = 24 - 18 = 6

Therefore,

His sister sent 6 more messages than Diego.

Answer and Step-by-step explanation:

First, read through the phrase and then break it down.

4 less than the product (multiplying) of 7 and a number (can be noted as 'x')

7x - 4 is the answer, since 4 will be less than the product of 7 and a number, with x being the placeholder.

#teamtrees #WAP (Water and Plant)

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

Answer:

2 1/4 pints

Step-by-step explanation:

create a ratio with the fact there are 16 ounces in 1 cup

let 'p' = number of pints

16 = 36

 1         p

cross-multiply:  16p = 36

                            p = 36/ 16, which is 9/ 4, or 2 1/4

Answer:

a is your correct answer

Answer:

6

Step-by-step explanation:

Add the ratios: 5 + 4 = 9

Divide total students by 9:

27/9 =3

Girls are listed first so the 5 part of the ratio is girls.

Multiply 5 by the 3 from above:

5 x 3 = 15

There are 15 girls.

Answer:

There are 12 girls in the classroom because if you take 4+4+4=12 and you do the same with 5 so 5+5+5=15 then add them together you get 27. So, therefore, your answer would be 12

Step-by-step explanation:

Answer:

The inequality is always true.

True

(づ￣ ³￣)づ

is that algebra?

Answer:

105

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

you multiply 30 by 0.10 giving you 3

Answer:(1, -3).

Step-by-step explanation:

If y=2x-5 is equation (1) and 4x-y=7 is equation (2), then substitute equation (1) in equation (2):

4x - (2x - 5) = 7

4x - 2x + 5 = 7

2x = 7-5

2x = 2

x = 1

Now substitute the value of x in equation (1) to find the value of y:

y = 2 (1) - 5

y = 2 - 5

y = -3

Answer:

Area = 20 square centimeters

Step-by-step explanation:

V = lwh

V = lw3

V = 4x5x3

V = 60

A = lw

A = 4x5

A = 20

Answer:

x = 900/ 10 + 3fo

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

5 inches

Step-by-step explanation:

its simple

1in-100m

500m= 100m x 5

so multiply five to the other side

1in x 5=5 in

5in-500m

Answer:

5 inches

Step-by-step explanation:

100 miles = 1 inch

500 miles = 500/100 * 1 = 5 inches

you're welcome....

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

we can find the zero of the linear function

F(x)= -4x+5 ,by solving the equation -4x+5 = 0

Solving the equation:

-4x+5 = 0

⇔ -4x = -5

[tex]\Longleftrightarrow x=\frac{-5}{-4} =\frac{5}{4}[/tex]

⇔ x = 1.25

Answer:

the length of the fence is 37.7 feet

Step-by-step explanation:

The computation is given below:

Given that

Diameter = 12 feet

So, the radius is the half of the diameter = 6 feet

Now the length of the fence is

= 2 × π × r

= 2 × 3.14 × 6

= 37.68 feet

= 37.7  feet

Hence, the length of the fence is 37.7 feet

The length of the fence will be 37.7 feet.

Based on the information given, we are informed that the circular swimming pool is 12 feet across and is enclosed by a fence. We want to calculate the perimeter.

The perimeter of a circle will be:

= πd

where,

π = 3.142

d = 12 feet

Therefore, the length of the fence will be:

=πd

= 3.142 × 12

= 37.7 feet

The length of the fence is 37.7 feet.

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Answer:the perimeter of the rectangle =A) (−14w+14v) centimeters

Step-by-step explanation:

Step 1

The perimeter of a Rectangle is given as 2 (l+ w)

If Length = 2v+3w centimeters.

and width =5v-10wcentimeters

Then Perimeter =2 (2v+3w + 5v-10w)

Perimeter=2(7v -7w)

Perimeter= 14v - 14w or can be written as -14w +14v