answers to the question
1

5

7

9

11

Answer:

The correct equation is D

Answer:

Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.

Anyway, there is neat formula that will deal with question very quickly. It is the following:

Sn is the sum of the geometric series

a1 is the first term in the series

r is the common ratio

n is the number of terms in the finite geometric series

Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.

The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, let's understand the notation.

∑n = 15 represents the sum of the expression that follows for n starting from 15, and the expression is 5 (−2) n − 1.

So, we need to find the sum of 5 (−2) n − 1 from n = 15 to n = 15, which means there is only one term in the sum.

Substituting n = 15, we get:

5 (−2) (15 − 1) = 5 (−2) 14 = 5/16384

Therefore,

The expression ∑n = 15 [5 (−2) n − 1] is equal to 5/16384.

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Answer:

[tex]\frac{34}{40}[/tex]

Step-by-step explanation:

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

Answer:

565.9.

Step-by-step explanation:

The second decimal place is 4 so the first one stays at 9.

Answer:

the answer is RATIONAL

Step-by-step explanation:

why u ask

becasue the number is less than 1

please mark brainiest

Answer:

-3

Step-by-step explanation:

Formula for average rate of change :

Solving :

Answer:

if im correct the answer is 48 ft2

Step-by-step explanation:

Answer:

[tex]16ft \: ^{2} [/tex]

Step-by-step explanation:

To find the area of the given triangle we'll use the formula:-

[tex]\boxed{\sf A = \cfrac{1}{2} \times b \times h}[/tex]

Where,

[tex]\sf A = \cfrac{1}{2} \times 8 \times 4[/tex]

First, let's multiply 1/2 * 8 = 8/2.

Divide 8 by 2= 4

Thus, the area of the triangle is 16ft^2.

Answer:

A 513

Step-by-step explanation: is your answer

Hope this helps :)

Check the picture below.

if the diameter of its base is 12, then its radius must be half that, or 6.

[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]

Answer: A. 5

Step-by-step explanation:

Answer:

A)  5 cm.

Step-by-step explanation:

Volume = length * width * height

150 = length * 5 * 6

Length = 150 / (5*6)

= 150/30

= 5.

Answer:

30

Step-by-step explanation:

let unknown angle = x

cos = adjacent / hypotenuse

adjacent of ? = 13

hypotenuse = 15

cos(x) = (13/15)

==> take inverse cos of both sides

x = 30 (rounded)

Note : hypotenuse = longest side and adjacent = side thats not the hypotenuse or opposite

Answer:

38 and 28

Step-by-step explanation:

let the 2 numbers be a and b

(a - b)= 10.................................................1

1/6(a + b) = 11

hence (a + b) = 66...................................2

adding 1 and 2

a -b + a + b = 10 + 66

2a=76

a = 38

b=28

Answer:

Step-by-step explanation: Just relax effortlessly. Communion Kant be for All unless we are primed for purpose...

Answer:

10y^2 + 39y + 35

Step-by-step explanation:

Simplify using FOIL

Answer:

multiplication

Step-by-step explanation:

the () means to multipy

Answer:

0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09

Step-by-step explanation:

Here they are from least to greatest. Hope this helps. :)

The answer is 28.09 g. I hope this helped.

Answer:
The answer is 4.2 g

Answer:

maximum

Step-by-step explanation:

the vertex will give the maximum value for y, which is 3

The value of x that would make line segment T V is parallel to line segment Q S is where x = 10. (Option C)

In Mathematics, a Line Segment is a part of a line that has two endpoints.

The difference between a line segment and a line is that while the former has a starting and an endpoint, the latter does not. See the attached image.

Step 1

Note that if QS is Parallel to TV, then both sides of the triangle must be proportionally divided by TV.

That is: RV/VS = RT/TQ.

Step 2 - replace the segments by the relevant equations

(X + 4)/(X- 3) = (X+10)/(X)

Step 3 - Cross Multiply

 x(x +4) = (x -3)(x +10)

Removing the parentheses, we have

 X² +4X = X² +7X -30; Subtract X² from both sides and we have;

4X = 7X - 30

-3X = -30 or

3X = 30

Divide both sides by three and we have:

X = 10

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Answer:

10 is the answer

Answer:

a,e

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

lets first solve the equation using distributive property:

-3(x-2)=4x-2(x-1)

-3x+6=4x-2x+2

-3x+6=2x+2    (E)

Now move the like terms on one side:

-3x-2x=2-6

-5x=-4             (A)

Answer:

Answer:

7.85 inches

Step-by-step explanation:

It mentions distance around the edge of the clock, which is basically another term used for arc length.

Arc Length Formula :

Arc Length = 2πr × θ/360°

Values given :

Radius (r) = 5 inches

Turning angle (θ) = 3/12 × 2π = 1/4 x 2π = π/2 = 90°

Solving :

Arc Length = 2 x 3.14 x 5 x 90/360

Arc Length = 15.7 x 0.5

Arc Length = 7.85 inches

Let the first number be "x", and the 2nd number (which is twice as large as the other), be 2x.

Set the equation

2x + x = 36

Simplify. Combine like terms

(2x + x) = 36

3x = 36

Isolate the x. Divide 3 from both sides

(3x)/3 = (36)/3

x = 36/3

x = 12

The first number is 12

The second number is 2x. Replace x with 12. Multiply.

2x = 2(12) = 24

The second number is 24

Check: 12 + 24 = 36 (True)

Answer: 12 & 24

Answer:

50° and 40°

Step-by-step explanation:

complementary angles sum to 90°

80% = [tex]\frac{80}{100}[/tex] = 0.8

let the 2 angles be x and 0.8x , then

x + 0.8x = 90

1.8x = 90 ( divide both sides by 1.8 )

x = 50

0.8x = 0.8 × 50 = 40

the 2 angles are 50° and 40°

Answer:

Answer:

C

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

i got a hundred on the test

Answer:

You would end at (3, 3).

Explanation:

You would plot your first mark at 3 on a typical xy graph because the first number in ()'s is always x (horizontal line).

Second, because your second mark is y (vertical line), you would plot -2 on the vertical axis.

Your y plot would be 5 more than -2 because you're traveling up five units, giving you (3, 3).

Answer: Without replacing

Step-by-step explanation:

If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.