Find the sum of the first 20 terms

Answer:

Option B.

Step-by-step explanation:

Each summation symbol tells you to add terms. The terms are obtained by replacing n in the expression with the integers 1, 2, 3, 4, 5, and 6.

Let's look at option A:

The expression is 2(2)^n.

Replacing n with 1, 2, ..., 6 gives us these terms, which are added:

2(2)^1, 2(2)^2, 2(2)^3, 2(2)^4, 2(2)^5, 2(2)^6

The terms above simplify to:

4, 8, 16, 32, 64, 128

Clearly these are not the terms in the series you are given, so option A is not the answer.

Let's now look at option B:

Replacing n in 2n with 1, 2, 3, ..., 6 gives us:

2(1), 2(2), 2(3), 2(4), 2(5), 2(6) which simplifies to 2, 4, 6, 8, 10, 12.

Since it's a summation, you add the terms above to get

2 + 4 + 6 + 8 + 10 + 12

Option B is the answer.

Answer:

Length (cm)      Width (cm)

       6                      18

       8                      24

       10                     30

       12                     36            

Step-by-step explanation:

Length (cm)           Width (cm)

       6           (x3)          18

       8           (x3)          24

       10         (x3)          30

       12         (x3)          36            

Answer:

0.18

Step-by-step explanation:

This is a very simple problem that can be solved with a simple formula.

When there are two independent events A and B, the formula is:

P(A and B) = P(A) * P(B)

So we just need to multiply P(A) and P(B) to get P(A and B).

Thus,

P(A and B) = P(A) * P(B) = 0.60 * 0.30 = 0.18

Answer:

P (A and B) = 0.18

Step-by-step explanation:

We are given that A and B are independent events which means that occurrence of one event does not have any impact on the other event.

Given that P(A)=0.60 and P(B)=0.30, we are to find the probability P(A and B).

To find this, we just simply need to multiply the probabilities of the two events.

P (A and B) = 0.60 × 0.30 = 0.18

9+ -6 -6

What do you want to know?

Answer:

6

Step-by-step explanation:

37 – 18 + 8w = 67

(37-18)+8W=67

19+8W=67

8W=67-19

     =48

W=48/8

  =6

Answer:

6

Step-by-step explanation:

[tex]37-18+8w=67\\19+8w=67\\19-19+8w= 67-19\\8w=48\\8w/8=48/8\\w= 6[/tex]

Answer:

2/3 or 0.6667

Step-by-step explanation:

L (length) = A/W (area/width)

L = 1/3 / 1/2

1/3 * 2/1 = 2/3

The image represent the graph of the function.

//Hope it helps.

Answer:

The axis of symmetry is x = –4.

The domain is all real numbers.

The function is negative over (–6, –2).

or BCE

Step-by-step explanation:

The graph of the function f(x) = (x + 6)(x + 2) is shown. Which statements describe the graph? Check all that apply.

The axis of symmetry is x = –4.

The domain is all real numbers.

The function is negative over (–6, –2).

or BCE

Answer: A

Step-by-step explanation: v= 4/3 pi r^3

Take diameter to radius by dividing it by 1/2

The volume of the beach ball with a diameter of 2 feet is approximately 4.2 cubic feet, calculated using the volume formula for a sphere, resulting in choice (a) being the closest match.

To find the volume of the beach ball, we must use the formula for the volume of a sphere, which is V = ⅔×π×r³, where r is the radius of the sphere. Since the diameter of the beach ball is 2 feet, its radius is half of that, which is 1 foot. Plugging the values into the formula:

V = ⅔×π×(1 ft)³

Let's calculate:

V = ⅔×π×(1)³

V = 4.18879 cubic feet (approximately)

So, the volume of the beach ball is approximately 4.2 cubic feet, which corresponds to choice (a).

Answer:

18 red tiles

Step-by-step explanation:

One way to look at this problem would be to take the number of tiles that Jaclyn used to get a possibility of 40% hits.

Jaclyn put 12 green tiles, this represents the 40% of the hits that she could get.

Now we know that 12 = 40%

We need to find how many red tiles she should put to still keep the 12 green tiles as 40%. We can also assume that 12 red tiles would be another 40%.

So we have 12 red tiles currently.

Now we still have another 20% left.

Since 12 red tiles = 40%, we can assume that:

6 red tiles = 20% of the total.

So if we add both the 40% red tiles to the 20% red tiles we get:

12 + 6 = 18 red tiles.

So Jaclyn will have to put 18 red tiles and 12 green tiles to simulate her chances of getting a hit.

answer is: 9x - 5 = 3

Answer:

well you got the answer correct

Step-by-step explanation:

find the area

first 14+7+5+5

next add the  total by 36

finally you'll get the answer

Answer:

36 + total =

Answer:

The correct answer is CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus CAD would be an exterior angle.

The angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB​

An illustration of an exterior angle of a typical triangle has been shown in the diagram attached below.

Analyzing the diagram given for this question, the only exterior angle of triangle ABF from the list of answer choices given is <CAB.

Therefore, the angle that represents an exterior angle of [tex]\triangle ABF[/tex] is: d. ∠CAB​

Learn more here:

https://brainly.com/question/16027164

I think the possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.

Answer:

The possible distance between them is 153 feet because 128 feet is the smallest so it would be the bottom, 143 feet and 153 feet would be the sides because they are the closest in size.

Step-by-step explanation:

The person who answered this is correct, also, please mark me brainliest, i took the test and got 100% hope this helps:)

Answer:

First option

h = 4 and k = - 2

Step-by-step explanation:

f(x) = x^3 translated to g(x) = (x – h)^3 + k.

f(x) transformed to g(x) with 4 units to the right and 2 units down

g(x) = (x - 4)^3 - 2

h = 4 and k = - 2

The translated function is g(x) = (x - 4)³ - 2, the correct option is the first one.

For a general function f(x), we can define:

Vertical translation of N units as:

g(x) = f(x) + N

if N < 0, the translation is downwards.

if N > 0, the translation is upwards.

Horizontal translation of N units as:

g(x) = f(x + N)

if N > 0, the translation is to the left.

if N < 0, the translation is to the right.

Here we can see that we have a translation of 4 units to the right and 2 units down, then the translated function is:

g(x) = (x - 4)³ - 2

The correct option is the first one.

Learn more about translations at:

https://brainly.com/question/1046778

#SPJ3

I can’t read the small sticky notes take a closer picture

Answer:

3) x= 5, -2

4)x= -3, -5

Answer:

y = -3, x = 2.5

Step-by-step explanation:

5y + 2x = -10 if x = 2.5

5y + 2(2.5) = -10

5y + 5 = -10

5y = -15

y=-3

Answer:

c=3

Step-by-step explanation:

c^3 =27

Take the cube root of each side

(c^3) ^ 1/3 = 27 ^ 1/3

c = 3

We know that 3*3*3 = 27

Answer:

1890 yd³

Step-by-step explanation:

V = ½Ah

= ½ × 210 × 27

= 1890 yd³

The  volume of the pyramid is 1890 yd³.

Because triangles also equal a total of 180 degrees, the answer is B

The  triangles exist with the given angle measures should be option b.

The following information should be considered;

learn more: https://brainly.com/question/4626564?referrer=searchResults

1:4 is the scale factor of the triangle

Answer:

[tex]c=\$37.5[/tex]

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]

In this problem we have

[tex]c*p=k[/tex]

step 1

Find the value of the constant k

For [tex]c=30, p=50[/tex]

substitute

[tex]k=30*50=1,500[/tex]

the equation is

[tex]c*p=1,500[/tex]

step 2

Find the value of c for [tex]p=40[/tex]

substitute in the equation and solve for c

[tex]c*(40)=1,500[/tex]

[tex]c=\$37.5[/tex]

Answer:

9000

Step-by-step explanation:

multiply all of it....if i am wrong then i truly apologize

Answer:

Tip Amount: $ 17

Tip Each Person: $ 17

Bill Each Person: $ 84

Total (Bill + Tip): $ 101

Total Each Person: $ 101

Step-by-step explanation:

Seven times the value of eight j plus four plus nine j

Answer:

b

8+3^2=17 ..

Answer:

B

Step-by-step explanation:

Please, please try to understand the concept before turning to here.

TO REITERATE YET AGAIN, use the Pythagorean Theorem.

a^2+b^2=c^2.

If this equation checks out, it is a right triangle.

Answer: Second option.

Step-by-step explanation:

As you can see in the graph attached, the lenght of the side AB is 2 units.

The formula for calculate the area of  rectangle is:

[tex]A=l*w[/tex]

Where l is the length and w is the width.

Therefore, if the area of the rectangle to be drawn is 10 square units and you know AB=2 units and CD  lies vertically below BA , then you can solve for the length:

[tex](10units^2)=(2units)l\\l=5units[/tex]

Therefore C and D are located at:

[tex]C=B(-1, 3-5)=> C(-1,-2)[/tex]

[tex]D=A(1, 3-5)=> D(1,-2)[/tex]

Answer:

The correct answer is,

Option 2).  C(-1, -2), D(1,-2)

Step-by-step explanation:

It is given that,If the area of the rectangle to be drawn is 10 square units

To find the length of rectangle

From the figure we get length of AB = 2 units

Therefore Area = length * breadth = 10

Therefore length = 10/2 = 5 units

To find the points of C and D

we have B(-1, 3)

The point C is 5 units below the point B

Therefore C(-1, 3-5) = C(-1,-2)

we have A(1, 3)

The point D is 5 units below the point B

Therefore D(1, 3-5) = A(1,-2)

Therefore the correct answer is option 2

For this case, we have that by definition, the volume of a rectangular prism is given by:

[tex]V = A_ {b} * h[/tex]

Where:

[tex]A_ {b} = l * w,[/tex] It is the area of the base

h: It is the height of the prism

So:

[tex]l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in[/tex]

So, we have:

[tex]A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2[/tex]

Thus, the volume will be:

[tex]V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3[/tex]

Answer:

[tex]V = 26.25 \ in ^ 3[/tex]

Move all terms not containing  x  to the right side of the inequality.

Answer: x > 5

[tex]y = kx\\ \frac{y}{x} = k \\ \frac{7.5}{3} = 2.5[/tex]

the answer is D) k=2.5

the answer is D) k=2.5