Diego chose a number to represent the input of the machine shown and `40` was the result. What is the input? I think it is 14, but i dont know how to explain and show my work.

The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

The given sequence is -4, 16, -64, 256,...

If we observe the sequence it is a geometric sequence

aₙ=a.rⁿ⁻¹

a is the first term and r is the common ratio

From the sequence the first term is -4 and common ratio is -4

aₙ=(-4).(-4)ⁿ⁻¹

Plug in the value n as 8

a₈=(-4).(-4)⁷

The value of minus four power seven is minus sixteen thousand three hundred eighty four

a₈=(-4)(-16384)

When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six

a₈= 65536

Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536

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Answer:

$252

Step-by-step explanation:

First you need to find how much is 20% is of 210

210*0.20=$42

Add 42 dollars to 210

210+42=$252

So the starting price per bag that he was selling was $252

Answer:

cos (-85°)

Step-by-step explanation:

\( \cos(275 \degree) \)

since cosine is in fourth quadrant:

\( \cos(275 \degree) = \cos( \{360 \degree - 275 \degree \}) \\ = \cos( - 85 \degree) \)

-85° is the angle between –180° and 0° that has the same cosine value as 275°.

Cosine is the trigonometric function that is equal to the ratio of the side adjacent to the acute angle in a right angled triangle.

Mathematically,

            Cos = Base/Hypotenuse

Now, to calculate cos(275) we have to first determine the quadrant of the given angle.

Since our angle is greater than 270 and less than or equal to 360, it is located in the Quadrant IV.

In the Quadrant IV, the values of cos are always positive.

275 is an obtuse angle so we can write,

Cos(275) = Cos{360+(-85)}

∵ Cos(360+θ) = Cosθ

∴ Cos{360+(-85)} = Cos(-85)

⇒ Cos(275) = Cos(-85)

The required answer is cos(275) = cos(-85)

Hence, -85° is the angle between –180° and 0° that has the same cosine value as 275°.

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The equation that represents the graph of y = x² + 2x - 3 moved 3 units to the left is: D. y = (x+3)² + 2(x+3)-3

What is graph equation?

To move a function 3 units to the left, we need to replace x with (x + 3) in the equation. This is because, if we plug in x + 3 into the equation, we will get the same value as if we had plugged in x but moved 3 units to the left.

So, starting with the original equation y = x² + 2x - 3, we replace x with (x + 3):

y = (x + 3)² + 2(x + 3) - 3

Now, we can simplify this equation to get it into standard form:

y = x² + 8x + 18

Therefore, the equation that represents the graph of y = x² + 2x - 3 moved 3 units to the left is:

D. y = (x+3)² + 2(x+3)-3

which simplifies to:

y = x² + 8x + 18.

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In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

point 1 (0 , 0 ) x1 = 0 y1 = 0

point 2 (2 , -3) x2 = 2 y2 = -3

equation of the line = ?

Step 02:

Slope formula

Slope-intercept form of the line

y = mx + b

b = y-intercept = 0

m = - 3/2

y = -3/2 x + 0

y = -3/2 x

The answer is:

y = -3/2 x

Answer:

==================================

First, plot the points (see attached picture).

Then, connect all the points.

From our observation the figure is rhombus.

Let's confirm it with the following.

1) Find midpoints of diagonals and compare.

The midpoint of both diagonals is same (- 2, 2).

2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.

Confirmed.

So this is a rhombus and also a parallelogram but not rectangle or square, since opposite angles are not right angles.

Answer:

Step-by-step explanation:

2,4

Answer:

Answer down below!! :))

Step-by-step explanation:

Since he bought all those things, the simple way is to add all the decimals in the problem.

Remember when writing them down, always line them up

1.39

+0.89

0.75

____

3.03 is your answer!

Answer:

x = 4

Step-by-step explanation:

Given

\(\frac{7+2x}{3}\) = 5 ( multiply both sides by 3 to clear the fraction )

7 + 2x = 15 ( subtract 7 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Answer:

X = 3

Step-by-step explanation:

(4x-6)+(4x-6)+12+12=36

Answer:

x = 4

Step-by-step explanation:

If you were to plot the given points, you would quickly see that this is a vertical line where x = 4 (a visual is always a good place to start).  

Vertical lines have a slope that is undefined and are written in the form of x = .

If you had plugged into the slope formula \(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\) , where (\(x_{1}, y_{1}\)) is (4, 8) and (\(x_{2}, y_{2}\)) is (4,6) the result would be as follows:

\(m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

    = \(\frac{6 - 8}{4 - 4}\)

    = \(\frac{-2}{0}\)

Because you can not divide by 0, the slope is in fact undefined.

Answer:

d = 8.75

Step-by-step explanation:

2.5 x 3.5

=8.75

8.75 / 2.5 = 3.5

have a great day! c:

Answer:

D) triangle

Step-by-step answer:

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

A three dimensional figure is a figure with a length, width and height. 3D shapes have faces, edges, and vertices.

Rectangle, square and triangle are two dimensional shapes while pyramid is a three dimensional shape.

A pyramid is a three-dimensional figure with a plane that is parallel to its base.

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Answer:

\(y=\frac{1}{2}x+3\)

Step-by-step explanation:

Let y equal the total amount of time spent on homework. Regardless of Shaunda's time spent on homework, represented by x, Zack spends half the time, represented by the 1/2. The additional 3hrs represents the y intercept, making it added on to the 1/2x expression.

If I helped, a brainliest answer would be greatly appreciated!

It is possible for there to be a real number t such that tan(t) is equal to 5/4.

The tangent function (tan) is a periodic function that repeats its values every π radians or 180 degrees. It has both positive and negative values across its periodicity. Therefore, for any given value of tan(t), there are multiple solutions.

To find a specific angle where tan(t) is equal to 5/4, we can use inverse trigonometric functions. The inverse tangent function (arctan or \(tan^{-1}\)) can be used to find the angle associated with a given tangent value.

In this case, we can find an angle t such that tan(t) = 5/4 by taking the inverse tangent of 5/4. Using a calculator or mathematical software, we find that arctan(5/4) is approximately 51.34 degrees or approximately 0.896 radians.

Therefore, there exists a real number t such that tan(t) is equal to 5/4, specifically at approximately t = 51.34 degrees or t = 0.896 radians.

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Answer:

The triangle is not right angled.

Step-by-step explanation:

According to the Pythagoras theorem, the sum of the squares of the two legs of a triangle is equal the square of the third side.

For example, in triangle ABC,

\(AB^{2} = BC^{2}+CA^{2}\)

It shows, that the triangle ANBC is right angled and right angle is at C.

So if the sum of the squares of the two legs of a triangle does not equal the square of the third side, it shows that the triangle is not right angled.

Answer: square root is 20

Answer:

Mark these points on the graph:

(0,3)

(1,4)

(2,5)

(3,6)

(4,7)

(5,8)

(6,9)

(7,10)

Then draw a line on the points.

Answer:

6+6=12

9+9=18

12+18=30

30 dollars

Answer:

$30

Step-by-step explanation:

6+6=12

9+9=18

18+12=30

I would assume this was the right answer if not i would need more information to go with the question

Answer:

90°

Step-by-step explanation:

Hi!

I forgot the theorems exact name but it's something like "radius to a line that is tangent to the circle is always perpendicular to the tangent line" and perpendiular means 90°

Answer:

the correct answer should be

b5

Step-by-step explanation:

a.)

= 15a - 13a

= a(15 - 13)

= a(2)

= 2a

b.)

= -6x - 18y

= -(x + 3y)

c.)

= 36abc + 54ad

= 6a(6bc + 9d)

Answer:

\(a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a\)

\(b) \: \: - 6x - 18y \\ = - 6(x + 3y)\)

\(c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)\)

Answer:

x=4

Step-by-step explanation:

Because 1/8 is a fraction to cancel it out on the x side you have to multiply by 8

8*1/8x=1/2*8

giving you 1x=4

Answer:

D

Step-by-step explanation:

The total number of students is 15+12= 27

The ratio of girls to total students is 12/27 = 4/9

Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

unit price of something is price of 1 thing.

LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

Given that Caleb paid $4.50 for 12 bagels.

Unit price = 4.50 / 12 = 0.375

A) $2.25 for 6 bagols

Unit price = 2.25 / 6 = 0.375

B) $13.50 for 10 bagels

Unit price = 13.50 / 10= 1.35

c) $3.30 for 6 bagols

Unit price = 3.30 / 6 = 0.55

D) $5.00 for 12 bagets

Unit price = 5.00 / 12 = 0.41

E) $8.10 for 18 bagels

Unit price = 8.10 / 18 = 0.45

Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.

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To find the largest four-digit value of t such that the expression is an integer, we need to set up an equation and solve for t.

Let's denote the given expression as x:

x = √(t - √(t - √(t - √(t - ...)))

To simplify the expression, we notice that the inner square root can be represented by x itself. So we can rewrite the equation as:

x = √(t - x)

Squaring both sides to eliminate the square root:

x^2 = t - x

Rearranging the equation:

x^2 + x - t = 0

To find the largest four-digit value of t, we can iterate through the values of t starting from 9999 and solve the quadratic equation for x. We are looking for a positive integer solution for x. Once we find the largest value of t that satisfies this condition, we have our answer.

By solving the quadratic equation for different values of t, the largest four-digit value of t that satisfies the condition is 9985.

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When evaluating trigonometric functions, it's important to consider the properties and values of these functions in different quadrants.

In the given scenario, we have cos(x) = 1/2 when x = pi/3. This means that the angle x is located in the first quadrant, where the cosine function is positive.

Now, when we have x = pi/4, which is located in the second quadrant, we need to consider the reference angle. The reference angle is the acute angle formed between the terminal side of the angle and the x-axis. In this case, the reference angle is pi/4.

In the second quadrant, the cosine function is negative. However, we are interested in cos^2(x), which is the square of the cosine function. Squaring a negative number yields a positive result. Therefore, when x = pi/4, cos^2(x) = (cos(x))^2 = (1/2)^2 = 1/4.

So, cos^2(x) = 1/4 when x = pi/4, not 1/2. It's important to differentiate between the value of the cosine function and the square of the cosine function when evaluating trigonometric expressions.

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The is used as a measure of to overcome the range is influenced too much by .

?

are then selected as 3 points such that

they create four groups in the data, each groups approximately possessing 25% of the data.

(inter quartile range) is defined as the between third and first quartile.

Since, range is used as a measure of to overcome the difficult of the range.

The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.

Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by

Learn more about here:

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#

The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.

The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.

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Answer:

12

Step-by-step explanation:

triangle is half a square so 6*2 = square = 12