7/8 multiplied by 4/5

Accordingly, x0 = 0, x1 = 3, x2 = 0, and x3 = 3 are the first three iterations of f ( x) = -2x + 3 when x0 = 0.

A loop is described as a section of code that runs repeatedly. The procedure in which a code fragment is run just once is referred to as iteration. One iteration is the single time a loop is run. A loop may run through numerous iterations.

x1 = f(x0) = f(0) = -2 * 0 + 3 = 3

x2 = f(x1) = f(3) = -2 * 3 + 3 = 0

x3 = f(x2) = f(0) = -2 * 0 + 3 = 3

So the first 3 iterates of the function f(x) = -2x + 3 when x0 = 0 are:

x0 = 0, x1 = 3, x2 = 0, x3 = 3

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By solving a system of equations, we will see that the equation is:

-4*x - 3*y = -18

We know that the linear equation:

A*x + B*y = -18

We know that this linear equation passes through the points (-3, 10) and (6, -2), then replacing these values in the equation we will get two equations:

A*-3 + B*10 = -18

A*6 + B*-2 = -18

So we have a system of equations:

-3A + 10B = -18

6A - 2B = -18

if we add the two times the first equation and the second one we get:

2*(-3A + 10B) + 6A - 2B = 2*(-18) - 18

18B = -3*18

B = -3

by replacing that value of B in one of the equations we will be able to solve it for A.

6*A - 2*(-3) = -18

6*A + 6 = -18

6*A = -18 - 6 = -24

A = -24/6 = -4

The equation is:

-4*x - 3*y = -18

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Step-by-step explanation:

2+7+5+3+4=21

if there was a picture i could calculate the miles it would take if they went straight home instead of making turns

Answer:32

Step-by-step explanation:25+ 1(7)

Answer:

number is 5

Step-by-step explanation:

let the number be n, then

30 subtracted from 14 times the number is

14n - 30

the result is 20 more than 4 times the number, that is

4n + 20

the equation is then

14n - 30 = 4n + 20 ( subtract 4n from both sides )

10n - 30 = 20 ( add 30 to both sides )

10n = 50 ( divide both sides by 10 )

n = 5

the number is then 5

Answer:Distributive property

Step-by-step explanation:

6 X (22 + 9) = 6 x 22 + 6 x 9 is an example of the distributive property where you can distribute the multiplication to each term inside the parentheses.

The distributive property states that when you multiply a number by the sum of two or more numbers, you can distribute the multiplication to each term inside the parentheses. Mathematically, it can be expressed as:

a x (b + c) = (a x b) + (a x c)

In the given equation, we have:

6 x (22 + 9) = 6 x 22 + 6 x 9

By applying the distributive property, we distribute the multiplication of 6 to each term inside the parentheses:

6 x 22 + 6 x 9

This simplifies to:

132 + 54

Therefore, the distributive property allows us to break down the multiplication of a number by the sum of two or more numbers into separate multiplications, resulting in the same outcome.

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Answer:

52x < $211

Step-by-step explanation:

If Roland uses $289 to purchase the laptop from the $500 that was given to him then he would be left with

500 - 289 = $211

With this he can purchase video games. Since each video game costs the same price of $52 then we can use the variable x to represent the number of games he can buy with the following inequality...

52x < $211

Answer:

( 2, 1 )

Step-by-step explanation:

x remains the same and y coordinate changes signs

Answer:

(2, -1)

Step-by-step explanation:

X=going to the right=Positive

Y=going down=Negative

X=(2)

Y=(-1)

Hope this helps

Q = (2,-1)

Answer:

θ = arctan(10/62) ≈ 8.8°

Step-by-step explanation:

Let's assume that the plane travels a distance of x km during take off and reaches a height of 10 km. Then, using trigonometry, we can find the angle θ between the ground and the path of the plane:

tan(θ) = 10/x

We want to find the smallest possible angle θ, which means we need to maximize x. From the given information, we know that x must be in the range 57 km to 62 km. Therefore, to maximize x, we choose x = 62 km.

Answer:

Multiply the first fraction by \(\frac{x+4}{x+4}\)

Multiply the second fraction by \(\frac{x-4}{x-4}\)

Step-by-step explanation:

Given

\(\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}\)

Required

Make the denominator equal

\(\frac{4}{x^2 - 16} + \frac{3}{x^2 + 8x + 16}\)

Factorize the denominator

\(\frac{4}{x^2 - 4^2} + \frac{3}{x^2 + 4x + 4x+ 16}\)

\(\frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)}\)

Multiply the first fraction by \(\frac{x+4}{x+4}\)

Multiply the second fraction by \(\frac{x-4}{x-4}\)

\(\frac{x+4}{x+4} * \frac{4}{(x - 4)(x + 4)} + \frac{3}{(x+ 4)(x + 4)} * \frac{x-4}{x-4}\)

\(\frac{4(x + 4)}{(x - 4)(x + 4)(x + 4)} + \frac{3(x - 4)}{(x+ 4)(x + 4)(x - 4))}\)

\(\frac{4(x + 4)}{(x^2 - 16)(x + 4)} + \frac{3(x - 4)}{(x^2 - 16)(x + 4))}\)

The expression now have the same denominator

Answer:

£1.6

Step-by-step explanation:

we can round 1.252 to 1.25

to find how much 2 euros is, we first have to make 1.25 into 2.

to do that, we will use the same equation to get the answer for £

1.25/5*8=0.25*8=2. now we repeat for £1

1/5*8=0.20*8=1.6

hope it helps

Answer:

We conclude that the mean delivery time actually exceeds 34 minutes.

Step-by-step explanation:

We are given that the owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes.

The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290.

Let \(\mu\) = average time spent on the deliveries.

So, Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) 34 minutes    {means that the mean delivery time is less than or equal to 34 minutes}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 34 minutes     {means that the mean delivery time actually exceeds 34 minutes}

Now, the decision rule based on the P-value to whether null hypothesis should be accepted or rejected is given by;

Here, we assume that the level of significance is 5%.

Since, the P-value of test statistics is less than the level of significance as 0.029 < 0.05, so we have sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean delivery time actually exceeds 34 minutes.

Answer:

Pull terms out from under the radical, assuming positive real numbers.

0

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i took the test

Answer:

cracked at fortnight

e my guy

Step-by-step explanation:

Answer:

these are your answers: a. y = 2.5x + 2000

b. The variable x represents the domain because the domain is the range of the possible x values.

c. x ≥ 0

d. The variable y represents the range because the range is the range of the possible y values.

e. y ≥ 2000

f. y = 2.5(25) + 2000

 y = 62.5 + 2000

 y = $2062.50

g. 2500 = 2.5x + 2000

  2.5x = 500

  x = 200

Step-by-step explanation:

you would have to factor in the different numbers in order to get these answers and try to solve the missing variable. hope this helps :)

Answer:

4.8

Step-by-step explanation:

\( V_{sphere} = \frac{4}{3} \pi r^3 \)

\( 144\pi= \frac{4}{3} \pi r^3 \)

\(r^3 = \frac {3 \times 144\pi}{4\pi}\)

\(r^3 = 3 \times 36\)

\(r^3 = 108\)

\(r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: \)

Answer:

4\(y^{\frac{3}{2} }\)

Step-by-step explanation:

using the rule of exponents/ radicals

\(\sqrt[n]{a^{m} }\) = \(a^{\frac{m}{n} }\)

then

4 \(\sqrt{y^{3} }\)

= 4\(y^{\frac{3}{2} }\)

Please provide the image that accompanies your question.

We are given the following box image:

And are asked for:

Median: Which is clearly marked at the value 80 and corresponds to the value at the center of the distribution that has equal number of values below and above it.

The Maximum is located at the extreme right of the right whisker and is around what looks like the value 98.

The Minimum is marked by the left end of the left whisker which looks like 52.

The First Quartile is marked by the left beginning of the box, and appears to be at around 66 or 67 .

And the Third quartile is marked by the extreme right of the box, which appears to be at the number 82.

If you don't have 66 or 67, try the closest, because the image may not be completely in agreement with the actual values given for you to choose. If you look at the box, the first quartile is clearly not 65 but more to the right of it.

Answer:

331.4

Step-by-step explanation:

you just add the area of the three squares and then ad those half circles into a whole and solve the area

Answer:

Step-by-step explanation:

m = -3

y  -y1 = m(x -x1)

y - 4 = -3(x -5)

y - 4 = -3x + 15

 y = -3x + 15 + 4

y = -3x + 19

g(5) = -3*5 + 19 = -15 + 19 = 4

g(3) = -3*3 + 19  = -9 + 19 = 10

Answer: \(g(x)=-3x+19\)

Step-by-step explanation:

1) Write the equation to find the slope: \(m=\frac{y_2-y_1}{x_2-x_1}\)

2) Substitute Info: \(m=\frac{10-4}{3-5}\)

3) Simplify: \(m=3\)

4) Write point-slope form: \(y-y_1=m(x-x_1)\)

5) Substitute info: \(y-4=-3(x-5)\)

6) Distribute: \(y-4=-3x+15\)

7) Write in slope intercept form/Add 4 on each side and simplify: \(y=-3x+19\)

8) Substitute: \(g(x)=-3x+19\)

9) BONUS!!!!!! Graph:  

Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.

Rate or speed is expressed as distance walked or traveled per unit time.

R = s/t

Given the data in the question;

First convert 41 minutes to seconds.

⇒ 41min = ( 41 × 60 )s = 2460sec

Now, Elapsed time t = 2460s + 56.23s = 2516.23 second

Next, we determine the rate.

R = s / t

R = 10000m / 2516.23 s

R = 3.97m/s

Given the distance covered and the time elapsed, Ryashkina's average walking rate is approximately 3.97 meters per second.

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All 3 steps reason for equation 18- 2x=4x are Given, Addition property of Equality, Division Property of Equality respectively.

The Addition Property of Equality states that adding the same quantity to both sides of an equation results in an equivalent equation. In other words, if a = b, then a + c = b + c, where c is any real number.

For example, consider the equation 2x - 5 = 7. To solve for x, we can use the Addition Property of Equality by adding 5 to both sides of the equation:

2x - 5 + 5 = 7 + 5

Reason for each step in the solution of equation 18 - 2x = 4x:

18 - 2x = 4x                 Given

18 = 6x                        Addition property of Equality

3 = x                            Division Property of Equality

The reason for the first step is "Given", since we are simply given the equation. The reason for the second step is "Addition Property of Equality", since we are adding 2x to both sides of the equation in order to isolate the variable term. The reason for the third step is "Division Property of Equality", since we are dividing both sides by 6 in order to solve for x.

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Approximately 17.95% of the people over the age of 55 prefer other sports and/or hate sports.

The number of people in the "55 and older" age group who prefer other sports or hate sports is 7.

Now we need to find the total number of people in the "55 and older" age group, which is 39.

To find the percentage, we'll use the following formula:

Percentage = (Number of people in the category / Total number of people in the age group) * 100

Percentage = (7 / 39) * 100

Percentage ≈ 17.95%

So, approximately 17.95% of the people over the age of 55 prefer other sports and/or hate sports.

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Answer:

The exact value of the other leg is 10.

Step-by-step explanation:

Finding the exact value of x given a 45 degree angle and a side length of 10 can be done using trigonometry. In a 45-45-90 right triangle, the two legs are congruent and the hypotenuse is equal to the square root of 2 times the length of the legs.

Therefore, if one leg is 10, the hypotenuse is 10 times the square root of 2. To find the length of the other leg, we can use the Pythagorean theorem:

c^2 = a^2 + b^2, where c is the hypotenuse, a and b are the legs of the right triangle.

Substituting known values, we get:

(10√2)^2 = 10^2 + b^2

200 = 100 + b^2

b^2 = 100

b = 10

Therefore, the exact value of the other leg is 10.

Answer:

72 percent

Step-by-step explanation:

7/25, x 4 to get a fraction of 100

28/100

100 - 28 = 72

72 percent

Answer:

Ashley still needs to finish 72 percent of her homework

Step-by-step explanation:

Happy to help!! :D