Graph the function f(x) = 4 sin(-2x) on the graph below

We have the sequence: 40, 20, 10, 5,...

Each term is half the previous term, so it is a geometrical sequence with common ratio r = 0.5.

We can not complete the sequence, as it becomes infinitely smaller and does not have a last term.

But we can write the three next terms to complete the blank spaces: 2.5, 1.25, 0.625.

We can start by writing the recursive formula. We know that each term is half the value of the previous term, so we wil have:

From this recursive formula, we can deduce the explicit formula (in terms of n) as:

Answer:

a) Geometric sequence with r = 0.5.

The sequence first terms are: 40, 20, 10, 5, 2.5, 1.25, 0.625.

b) The recursive formula is a(n) = 0.5*a(n-1).

The explicit formula is a(n) = 40*0.5^(n-1).

SOLUTION

The given complex unbers are:

Add the complex numbers:

Simplify the expression:

Therefore the required answer is: 0+0i

We have the sequence, shown as a number triangle, where in each step we add 5 (that is the constant difference).

We can write:

1

6 11

16 21 26

31 36 41 46

51 56 61 66 71

76 81 86 91 96 101

106 111 116 121 126 131 136

141 146 151 156 161 166 171 176

Answer: The last number in row 8 is 176.

Answer:

thr last number in row eight is 176

By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:

x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2)                                   Given

x = - 1 / 6 - 1 / 4                                                                 Multiplication of rational numbers

x = - 4 / 24 - 6 / 24                                                           Modulative, commutative and associative properties / Existence of multiplicative inverse

x = - 10 / 24                                                                       Addition of fraction with same denominator

x = - 5 / 12                                                                         Simplification / Result

The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.

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In this case, Cai is right.

Basically, Cai is right because a ratio is a fraction. So, if you divide the numerator and denomirator by the same number, the fraction won't be changed, in that case you would get an equivalent fraction.

For example, if we have 4/6, and we divide both numbers by 2, we get 2/3, these operations are valid because you are dividing both numbers by the same (2).

Problem: consider the function f(x) whose second derivative is f' '(x)=4x+4sin(x). If f(0)=3 and f'(0)=4, what is f(5)?​.

Solution:

Let the function f(x) whose second derivative is:

Now, the antiderivative (integral) of the above function would be:

EQUATION 1:

where C1 is a constant because we have an indefinite integral. Now the antiderivative (integral) of the above function f´(x) is:

that is:

EQUATION 2:

where C2 is a constant because we have an indefinite integral.

Now using the previous equation, if f(0)= 3 then:

Now, using equation 1 and the fact that f ´(0) = 4, then we have:

That is:

Solve for C1:

Now, replacing the constants C1 and C2 in equation 2, we have an expression for f(x):

Then f(5) would be:

then the correct answer is:

Answer:  $935

Step-by-step explanation:

Mr. Smith paid $935 in sales tax

Step 1 : To determine the area of the rhombus

Therefore the area of the rhombus = 112m²

Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)

Step-by-step explanation:

Answer:it would be 4.6x10^11

Step-by-step explanation:

Here 3 is smaller than 512 so we write 0.00 as the quotient.

Now 3000 is divisible by 512.

Substract 2560 from 3000, we get 440

now again 440 is smaller than 512, so we write 0 near 440 we get 4400.

Now 4400 is the dividend.

If we proceed with this division we get

Hence the approximate answer is

Answer:

Explanation:

Here, we want to get the values in the segments

a) Here we would have to open up the brackets

Now, to do this, we are going to use the distributive property

By using the distributive property, we will be able to open up the brackets

Doing this, we can get the values in the brackets

So the answer here is distributive property

b) Here, we have

14 = -y after combining the like terms

The correct answer here is the subtraction property of equality

We simply subtract 3y from both sides of the equation to arrive at this answer

c) -14 = y

We have the multiplication property of equality

The reason for this is that we multiplied both sides by -1 to arrive at this answer

d) y = -14

This is the symmetric property of equality

We have this here because if two values are equal on both sides, we can switch each to the opposite sides and still retain the same equality values

Let the first end point be x1 y1 and the second x2 y2 the midpoint would be

x1 + x2 / 2 y1 + y2 / 2

Hence

(19 + x2)/2 = 4

19 + x2 = 8

x2 = 8 -19

x2 = -11

(-10 + y2)/2 =8

- 10 + y2 = 8

y2 = 8 + 10

= 18

The other end point is (-11, 18)

The equation that represents the total tennis balls is t = 13 + 42 and the value is 55

From the question, the given parameters are

The total number of tennis ball is the sum of the number of tennis ball thrown away and the number of tennis ball returned

Mathematically, this is represented as

Total number of tennis ball = Number of tennis ball thrown away + Number of tennis ball returned

Substitute the known values in the above equation

So, we have the following equation

t = 13 + 42

Evaluate the sum

t = 55

Hence, the equation of the tennis ball is t = 13 + 42

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The basic operation use for the problem is subtraction.

The number of miles Santina drove than Carole is 14 miles.

Basic operations are the building blocks and rules of math.

The basic operations are  addition, subtraction, multiplication, and division.

On a trip to Florida. Santina drove 203 miles and Carole drove 189 miles.

The distance in miles Santina drive than Carole is the difference between there distance travelled.

Therefore, the basic operation applied in this problem is subtraction.

Hence, let's solve it as follows:

miles Santina drove than Carole = 203 - 189  = 14 miles

Therefore, Santina drove 14 more miles.

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The basic operation used for the problem will be; subtraction. Santina drove 14 more miles than Carole.

Basic operations are the building blocks and rules of math. The basic operations are addition, subtraction, multiplication, and division.

On a trip to Florida. it is given that Santina drove 203 miles and Carole drove 189 miles.

The distance Santina drives is miles than Carole, which is the difference between their distance traveled.

Thus, the basic operation applied in this problem will be; subtraction.

Hence, let's simplify  it as follows:

The miles, Santina drove = 203 - 189  = 14 miles

Therefore, Santina drove 14 more miles than Carole.

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We are given the following inequality

Let us first convert the inequality into slope-intercept form

Comparing this inequality with the standard slope-intercept form we see that

Slope = -3 and y-intercept = 4

So the graph of the inequality is

The area left to the red line represents the solution of the inequality.

Now we need to check if the point (1, 1) lies left to the red line.

We can clearly see that point (1, 1) is just left to the red line hence it is a solution.

Therefore, it is true.

Answer:

x ≤ 2

Explanation:

Given the inequality:

First, we subtract x from both sides.

Next, we subtract 3 from both sides.

Step-by-step explanation:

if x = 2, then x^2 = 4, the inverse would thus be: if x^2 = 4, then x = 2.

This is partially true though since multiple values would satisfy the equation x^2 = 4, or rather 2 values. negative two and positive two. So x=2 is one solution, but just because x^2 = 4, that doesn't necessarily imply that x=2.

The formula to find the volume of a cone is:

Then, we replace the know values in the above formula and solve for h.

The value of x is 12 units.

The solution is:

*The expression describes the number that is 8 to the left of -8 on the number line. [Option A].

a=b

b=5

a=5

Symmetric propery of equality. (D)

It states that if quantity a equals quantity b, then a equals b.

Solution

For this case we have the following info:

45% regular phones

15% cellular phones

6% others

34% Cordless phones​

We know that the total regular of phones is 45% and the total of cellular phones are 15% then we can find the ratio like this:

45/15 = 3

In order to find the values of f(0), f(1) and f(2), we just need to find in the graph for the value of the function (that is, the value of y) for the values of x equal to 0, 1 and 2 respectively.

Looking at the graph, for x = 0 we have y = -7, therefore f(0) = -7

For x = 1 we have y = -2, therefore f(1) = -2

For x = 2 we have y = -5, therefore f(2) = -5

The per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

In the question ,

it is given that a grocery store sells bags of oranges in two different sizes .

in first bag where 3 pound bags of oranges cost $4 .

So, 1 pound bag of orange will cost = 4/3 = $1.333   .

in the second bag where 8 pounds bags of oranges cost $9 .

So, 1 pound bag of orange will cost 9/8 = $1.125   .

we can see that $1.125 < $1.333 .

hence , the second bag of oranges costs less .

Therefore , the per pound cost of the bag of oranges which price is $9 for 8-pounds is less .

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The equation for the graph is :

You can graph the equation on a graph tool and view the graph as below:

From the graph, you can see that it opens upwards, so the statement is False.

Correct answer is that the graph opens upwards.

Answer choice : False

Answer: 71.25

This is not of of the options, but is the right answer.

Step-by-step explanation:

7 x 5 + 42 - 23 / 4 =

Step 1: Make parentheses

(( 7 x 5 ) + 42) - ( 23 / 4) =

Step 2: Solve parentheses ( Multiplication and division first )

(35 + 42) - 5.75 =

Step 3: Solve parentheses ( Addition )

77 - 5.75 =

Step 4: Subtract

= 71.25

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Remember that

1 ft=12 in

1 yd =36 in

so

The garden is 23 ft by 31 ft

Convert to inches

23 ft=23*12=276 in

31 ft=31*12=372 in

Find out the volume

V=(276)*(372)*(4)

V=410,688 in3

Convert to cubic yards

410,688 in3=410,688*(1/36)^3=8.80 cubic yards

Remember that

The store only sells in increments of 1/4 cubic yards

so

Let's take them one after the other

To calculate the mean:

Mean = 4 +20+ 5 +10+ 21+ 18 +10+ 11+ 16 / 9

Mean= 115/9= 12.7

To calculate the median;

Median: position (n+1)/2=(9+1)/2=5

This implies it is the fiifth value after ordering them from least to gratest

4, 5, 10, 10, 11, 16, 18, 20, 21

The fifth observation is 11, that's the median

Calculate the range;

Range = highest - lowest = 21 - 4 = 17

Mode = bi modal = 10

The answer is the Mode which is 10

The correct option is the last option : Mode

EXPLANATION

Let's see the facts:

Inspect period = 10 flight hours

Flown= 3 flights/2.75 hours

Total flights hours = 3x2.75 = 8.25 hours

The difference is 10-8.25 = 1.75 hours.

We need 1.75 hours more before the next wing inspection.

226.08

1) Since the area of the semicircle is half the circle area, then we can write:

2) So we can plug into that the size of that radius:

3) Hence, the area of that semicircle is 226.08 in²