What is the sum of the first 13 terms of the given geometric sequence:
1,2,4,8,16,

Answer:

I think it’s 360

Step-by-step explanation:

Answer:

15.95 feets

Step-by-step explanation:

Given that:

Angle of elevation = 62°

Using trigonometric relation :

Tanθ = opposite / Adjacent

From the drawing attached :

Opposite = 30 feets

Distance between girl and lighthouse = d

Tan 62 = 30 / d

1.8807264 * d = 30

d = 30 / 1.8807264

d = 15.951283

d = 15.95 feets

Answer:

P

K

P

K

P

K

Step-by-step explanation:

If it's not moving, it's potential energy

If it's moving, it's kinetic energy

Answer:

4.5 x 10 ^9

Step-by-step explanation:

Answer:

4.5*10^9

Step-by-step explanation:

Answer:

i think the is 14.13.

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

180-30=150/3=50

3x + 30 = 180

     -30     -30     subtract 30 on both sides, solve for 180 - 30 which is 150.

___________

3x = 150

__    ___       divide 3 on both sides, solve for 150 ÷ 3 which is 50.

3       3

x = 50, final answer

hope this helps! :)

Answer:

the answer is 2

Step-by-step explanation:

The equation which represent the three squares which is divided into the 5 fifths is,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

A fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,

[tex]\dfrac{a}{b}[/tex]

Here (a) is the numerator and (b) is the denominator.

A multiple of a fraction is the number which is n times of the original function.

The model represents,

[tex]3 \div 1/5[/tex]

Here, the total number of square are given is 3. These three square are then divided into the one fifth.

Thus, we get total 3 times of 5 one fifth which is equal to the entire 3 squares

.

Thus, the equation can be written for this condition as,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

Hence, the equation which represent the three squares which is divided into the 5 fifths is,

[tex]15 \times \dfrac{1}{5} = 3[/tex]

Option B is the correct option.

Learn more about the multiple of fraction here;

https://brainly.com/question/9281754

Answer:

Step-by-step explanation: You just need to do the normal problem which will equal the numerator and then you have to divide it by 5

Answer:

The vertex is (4,-3)

Step-by-step explanation:

P.S. you got the 2nd last one wrong.

When x>4 y increases as x increases

Answer:

true

Step-by-step explanation:

Answer:

you divide 11 by 25 and then round to the nearest hundredth

Step-by-step explanation:

11÷25= 0.44

Answer:

8^6

Step-by-step explanation:

This just means that 8 is being multiplied by itself 6 times

Answer:

Step-by-step explanation:

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=6 is a straight line perpendicular to the y-axis at point (0,6) , which means that the range is a set of one value {6} .

Answer:

96

Step-by-step explanation:

3*4*8=96

Answer:

96

Step-by-step explanation:

Answer:

The water droplet will hit the ground 1.58 seconds after it started falling.

Step-by-step explanation:

The function:

y = -16*t^2 + 40

represents the height of a water droplet t seconds after falling from an icicle.

We want to find the value of t such that the water droplet hits the ground, and this will happen when y = 0.

Then we only need to solve the equation:

0 = y =  -16*t^2 + 40

0 =  -16*t^2 + 40

16*t^2 = 40

t^2 = 40/16

t = √(40/16) = 1.58

The water droplet will hit the ground 1.58 seconds after it started falling.

Answer:

4.5 and 5

Step-by-step explanation:

The √24 is 4.89879

to one decimal place is 4.9

Approximately 5

Answer:

9

Step-by-step explanation:

the answer is 9 because 18 $÷2 = 9

Answer:

9 packs

Step-by-step explanation:

18.57/2=9.285

Can't buy 1.285 one so we go back to 9 which is buyable with the money there is.

Answer:

he right

Step-by-step explanation:

Answer:

(3, 5)

Step-by-step explanation:

32.1

Answer:

(10,4)

Step-by-step explanation:

5 would change to 10 and 4 would stay

Answer: Value of n is -6

Step-by-step explanation:

If the function f(x) is translated k units up, then its image is g(x) = f(x) + k

If the function f(x) is translated k units down, then its image is g(x) = f(x) - k

The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

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:

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

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can start by substituting the function k(x) into the expression for p(x):

p(x) = k(x) + n

p(x) = x^2 + n

We don't have enough information to determine the value of n, but we can set up an equation using some other given information. If we know that p(2) = 5, we can substitute x = 2 and solve for n:

p(2) = 2² + n = 4 + n = 5

n = 5 - 4

n = 1

Therefore,

The value of n is 1 when the expression k(x) = x² and p(x) = k(x) + n.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Slope: -7/4

Point/y-intercept: (0,2)

Answer:

B 54.5°

Step-by-step explanation:

Since we have a triangle,

CAB + ABC + BCA = 180 (sum of angles in a triangle)

Since CAB = 80° and ABC = 45.5°, substituting these into the equation, we have

80° + 45.5° + BCA = 180°

simplifying, we have

125.5° + BCA = 180°

collecting like terms, we have

BCA = 180° - 125.5°

BCA = 54.5°

So, the answer is B

Answer:

4: 45pm

Step-by-step explanation:

First Film = 50 minutes

Second Film = 30 minutes

Cinema start screening time = 2:45 pm

- Both Film start screening

At 3: 15 pm

- Second film ends

- First film is till screening ( 20 minutes left)

- Break Commences

3: 25

- First film is till screening ( 10 minutes left)

- Break Ends

- Second film starts screening

3 : 35 pm

- First film ends

- Break Commences

- Second film is till screening ( 20 minutes left)

3 : 45

- Second film is till screening ( 10 minutes left)

- Break Ends

- First film starts screening

3 : 55 pm

- Second film ends

- First film is till screening ( 40 minutes left)

- Break Commences

4 : 05 pm

- Break Ends

- First Film is till screening ( 30 minutes left)

- Second film starts screening

4: 35 pm

- Both Film ends

- Break Commences

4: 45pm

- Break Ends

- Both Films start screening

Answer:

Here is the answer......

Answer:

2x² - 7x - 15

Step-by-step explanation:

Given

(2x + 3)(x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(x - 5) + 3(x - 5) ← distribute parenthesis

= 2x² - 10x + 3x - 15 ← collect like terms

= 2x² - 7x - 15