Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 4, 2, 1, ...

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Answer:

c³ + cd³ + 3c²d + 3cd²

Step-by-step explanation:

(c+d)^3 is worded as c plus d quantity cubed which doesn't mean you cube everything inside. It means you multiply the quantity by itself 3 times.

(c+d)(c+d)(c+d)

You can only multiply 2 at a time so do the first two then the result and the third one.

Distribute everything in one quantity to the other so c*c = c^2 and c*d = cd

= (c^2 + 2cd + d^2)(c+d)

= c^3 + c^2d + 2c^2d + 2cd^2 + cd^2 + cd^3

Combine like terms

= c³ + 3c²d + 3cd² + cd³

Answer: 7.5 cups of sugar.

Step-by-step explanation:

Add all of the above:

2+1.5+0.5+3+1.5= 8.5 cups of sugar

Since Zach only needs 1 cup of sugar, subtract 1 from 8.5.

Therefore, your answer is 7.5 cups of sugar.

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit is $195.

Cost of data plan per month = $45

Extra amount charged = $30 per GB

The amount that Aaliyah would have to pay in a month where she used 5 GB over the limit will be:

= $45 + $30(5)

= $45 + $150

= $195

The amount that Aaliyah have to pay in a month where she used went over by x GB will be:

= $45 + $30(x)

= $45 + $30x

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The mean is  4 because it is in the middle an it is used the most in the data set.

The mean shift to the right side of the data set and the standard deviation is increased.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

It is given that:

The data set is:

1 2 3 3 4 4 4 4 5 5 6 7

The mean of the data = ∑x/n

The mean of the data = 4

The standard deviation of the data set = 1.58

If data changed:

1 2 3 3 4 4 4 4 5 5 6 70

The mean of the data = 9.25

The standard deviation of the data set = 18.36

Thus, the mean shift to right side of the data set and the standard deviation is increased.

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Answer:

Answer: His estimate was low

Step-by-step explanation:

It's true that √16 is 4 and that √9 is 3

for √15 :

[tex] \sqrt{15} = 3.9[/tex]

It's true that √15 lies between 3 and 4

[tex] \sqrt{15} : 3 < x < 4[/tex]

Estimated answer :

[tex] = 3.5[/tex]

Exact answer :

[tex] = 3.9[/tex]

Therefore, the error:

[tex] \delta x = 3.9 - 3.5 \\ \\ = 0.4[/tex]

Since error is less than 0.5, his estimation was moderate, [ low ]

Answer:

200 ft

Step-by-step explanation:

area = 2500

length = 50

Answer:

(-5,8)

Step-by-step explanation:

The left number represents the x-axis, the right one the y-axis. A translation to the right means in the positive direction on the x-axis, which is why we add 3 to -8 which gives us -5. Down on the y-axis is in the negative direction, which means we have to subtract 1 from 9, giving us 8.

Answer:

the answer is the same since it is the same numeral so in terms of y=mx+c and x1/y1 would be inversely proportional to x2/y2 which is perfectly direct proportional to x3/y3×2 and then dy over dx is the problem of integration so you use (x2/x3÷y2/y3)×x1^y1

Answer:

test

test

test

test

test

Answer:

11x+3+8x+6=180(Linear pair)

19x+9=180

19x=171

x=9°

4x+3=3x+13(Alternative interior angles)

4x-3x=13-3

x=10

Value of each angle=43 each

Answer:

X=20º

Step-by-step explanation:

This is a vertical angle meaning both sides are congruent to each other.

Meaning: (x+100)º= 6x

Solve:

(x+100)º= 6x

-x              -x

100º=5x

/5 .     /5

x=20º

Step-by-step explanation:

24÷2[70÷5{4+(12-(12-8÷6×3))}]

12[14{4+(12-(12-4))}]

12[14{4+(12-8)}]

12[14{4+4}]

12[14{8}]

12[112]

1344

Answer:

11.69 or 256

Step-by-step explanation:

291  divided by equals 11.69

And 291 - 25 - 10 = 256

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

[tex] \displaystyle \large{a_{n + 1} - a_n = d}[/tex]

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

[tex] \displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3} [/tex]

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

[tex] \displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }[/tex]

From the:

[tex] \displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}[/tex]

Substitute the values in.

[tex] \displaystyle \large{ \frac{y}{2} = - 3}[/tex]

Multiply the whole equation by 2 to isolate y.

[tex] \displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}[/tex]

Therefore, the value of y is -6.

Answer:

22 - (-3) = 22 + 3 = 25 ft.

Answer:

see explanation

Step-by-step explanation:

Using the identities

1 - cos²x = sin²x

cotx = [tex]\frac{cosx}{sinx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex]

Consider the left side

[tex]\frac{1}{1-cos\alpha }[/tex] - [tex]\frac{1}{1+cos\alpha }[/tex]

= [tex]\frac{1+cos\alpha - (1-cos\alpha )}{(1-cos\alpha )(1+cos\alpha )}[/tex]

= [tex]\frac{1+cos\alpha -1+cos\alpha }{1-cos^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin^2\alpha }[/tex]

= [tex]\frac{2cos\alpha }{sin\alpha }[/tex] × [tex]\frac{1}{sin\alpha }[/tex]

= 2cotα . cosecα

= right side , thus verified

Answer:

ósea un momento

Step-by-step explanation:

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Answer:

38cm is the circumference

Explanation:

circumference = diameter x 3.14

diameter = 12

circumference = 3.14 x 12 = 37.68

Now we need to round to the nearest whole

36 and 38 are the nearest wholes to 37.68. We need to minus and then find smallest difference between the numbers; meaning the smaller the difference the closer it is.

37.68 - 36 = 0.68

38 - 37.68 = 0.32

37.68 is more closer so we can round this to 38.

Answer:

¼I'm pretty sure, if I'm wrong lmk.

Answer:

4/15 or 7/30

Step-by-step explanation:

lmk if thats right or wrong

Answer:

because the same number is subtracted from another numberber until it hits zero or smaller than the number subtracted

Step-by-step explanation:

trust me bro

hope this helped homie

Answer:

⇨Because Repeated subtraction is a method of subtracting the equal number of items from a larger group.

Ťøp❶✍☺Hope its helpful

Answer: Slope = -3/4

Step-by-step explanation:

Background information

The given equation [y = -3/4x + 2] is in the form of slope-intercept form of linear equation.

The slope-intercept form of a linear equation is where one side contains just [y]. So, it will look like: y = mx + b where [m] is the slope and [b] is the y-intercept.

Match the given equation with the base form of the equation

y = (-3/4)x + 2

y = m x + b

Finalize the match result

m = -3/4

b = 2

Therefore, the slope of the equation [y = -3/4x + 2] is [tex]\boxed{-\frac{3}{4} }[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Work Shown:

7.12 = 7 + 0.12

7.12 = 7 + (12/100)

7.12 = 7 + (3/25)

7.12 = 7 & 3/25

The notation 7 & 3/25 means we have the whole part 7 and fractional part 3/25.

Step-by-step explanation:

119°+29°+n°=180°. (Sum of all the angles of triangle)

So,

158°+n= 180°

n= 180°-158°

n= 22°

Answer:

n = 22°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

2,5,6 2)AB and MN 5)B and N 6)CB and LN

Step-by-step explanation:

Edge 2021

The Scientific notation for above value is :

[tex] \boxed{ \boxed{9.65\times 10 {}^{14} }}[/tex]

Answer:

80 degrees

Step-by-step explanation:

they are adjacent angles -

115-35=80

GBE=80 degrees

The other person is correct. This is what the drawing looks like when we mark the angles given to us.

If I'm understanding the question correctly, you're saying that X is a random variable following a normal distribution with mean 5 and standard deviation 4.2, and you want to find the proportion of the distribution that lies in the interval (-3, 8). In other words, the probability

P(-3 < X < 8)

Transform X to Z, which follows the standard normal distribution with mean 0 and standard deviation 1, using the rule

X = µ + σZ   ==>   Z = (X - µ)/σ

where µ and σ are the mean and standard devation of X, respectively.

We have

P(-3 < X < 8) = P((-3 - 5)/4.2 < (X - 5)/4.2 < (8 - 5)/4.2)

… ≈ P(-1.904 < Z < 0.714)

… ≈ P(Z < 0.714) - P(Z < -1.904)

… ≈ 0.762 - 0.028 ≈ 0.734

The proportion of values of X between - 3 and 5 is 0.734

The expression ∼(5,4.2) gives the mean and standard deviation of X

Mean, μ = 5

Mean, μ = 5Standard deviation, σ = 4.2

Using the normal distribution :

The proportion of values of X is given as :

z = (x - μ) / σ

P(Z < z) - P(Z < z)

P(Z < (x - μ) / σ) - P(Z < (x - μ) / σ)

For X = - 3 and x = 8

P(Z < (8 - 5) / 4.2) - P(Z < (-3 - 5) / 4.2)

P(Z < 0.7143) - P(Z < - 1.90476)

0.76248 - 0.0284 = 0.73408

Hence, the proportion of values of X between - 3 and 5 is 0.734

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