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The rule for the geometric sequence is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

A geometric sequence is a sequence in which consecutive terms are in a common ratio.

Since we have the geometric sequence 64,-32,16,-8, the nth term of a geometric sequence is given by Uₙ = arⁿ⁻¹ where

Since in the geometric sequence, the first term U₁ = a = 64 and the second term U₂ = ar²⁻¹ = ar = -32, then the common ratio r is

r = U₂/U₁

= ar/a

= -32/64

= -1/2

Since a = 64 and r = -1/2

substituting these into Uₙ, we have

Uₙ = arⁿ⁻¹

Uₙ = 64(-1/2)ⁿ⁻¹

Uₙ = 64(-1/2)ⁿ/(-1/2)⁻¹

Uₙ = 64(-1/2)ⁿ/(-2)

Uₙ = -128(-1/2)ⁿ

Uₙ = (-1)(-1)ⁿ128(1/2)ⁿ

Uₙ = (-1)(-1)ⁿ2⁷(1/2)ⁿ

Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

So, the rule is Uₙ = (-1)ⁿ⁺¹2⁷⁻ⁿ

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Answer:

Step-by-step explanation:

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Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

Answer:

Loss

Step-by-step explanation:

It would be a loss because you bought them for 30$ but could only sale them for 25$ meaning you lossed 5$.

This means the price you bought them for changed 16.667% decrease.

Hope it helps have a great day:)

If tan(x) = -3/2 and x terminates in quadrant II, then sin(x) = -3/√13, cos(x) = -2/√13. Using double angle formulas, we can find that sin(2x) = -24/13, cos(2x) = 5/13, and tan(2x) = -24/5.

We can start by drawing a right triangle in quadrant II with a reference angle α, such that tan(α) = 3/2. Then, since x terminates in quadrant II, we have x = π - α. Using the Pythagorean theorem, we find that the adjacent side of the triangle is -2 and the hypotenuse is √13. Therefore, sin(x) = -3/√13 and cos(x) = -2/√13.

Next, we can use double angle formulas to find sin(2x), cos(2x), and tan(2x). Specifically, we have:

sin(2x) = 2sin(x)cos(x) = 2(-3/√13)(-2/√13) = -24/13

cos(2x) = cos²(x) - sin²(x) = (-2/√13)² - (-3/√13)² = 5/13

tan(2x) = (2tan(x))/(1 - tan²(x)) = (2(-3/2))/(1 - (-3/2)²) = -24/5

Therefore, we have found that sin(2x) = -24/13, cos(2x) = 5/13, and tan(2x) = -24/5.

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The general solution of the y" + 2y + y= 7 +75sin2x is given as:

y =  (c₁+c₂x)\(e^{-x}\) + 7 - 12cos2x - 9sin2x

The Greek terms trigonon (triangle) and metron (measure) are the origin of the word trigonometry. The connections between the lengths and angles of triangles' sides are the subject of this area of mathematics. An equation with one or more trigonometric ratios of unknown angles is said to as trigonometric. The ratios of sine, cosine, tangent, cotangent, secant, and cosecant angles are used to express it.

y" + 2y' + y = 7 + 75sin2x

Auxlliary equation are (m²+2m+1) = 0

CF = (c₁+c₂x)\(e^{-x}\)

PI = \(\frac{1}{D^2+2D+1} (7+75sin2x)\)

Now,

\(\frac{7}{D^2+2D+1} +\frac{75}{D^2+2D+1} (sin2x)\)

7 -3(2D+3)sin2x

7 - 6D.sin2x - 9sin2x

7 - 6 x 2cos2x - 9sin2x

7 - 12cos2x - 9sin2x

PI = 7 - 12cos2x - 9sin2x

Finally,

y = C.F + P.I

y =  (c₁+c₂x)\(e^{-x}\) + 7 - 12cos2x - 9sin2x.

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Answer:

answer is 10 ^ 10

Step-by-step explanation:

7.296 × 10² / 9.6 × 10^ -9

= 0.76 × 10^11

= 7.6 × 10^10

Answer: 1. 6+3=9

2. 9-7 = 2

3. 7(3) = 21

4. 8+0 = 8

5. 4(4)+5 = 16+5 = 21

6. 7(5)-4= 35-4= 31

7. 19-3(2)= 19-6 = 13

8. 11+ 3(4)= 11+ 12 = 23

Step-by-step explanation:

Just plug in whatever variable of the variable it says for that variable and solve!

Answer:

Step-by-step explanation:

1. 9

2. 2

3.21

4. 8

5. 21

6. 31

7. 13

8. 23

Hope this helps!

The hypergeometric distribution should not be used, hence the correct option is given by:

no, because it is not looking for the first occurrence of success.

These two conditions should be respected:

None of these conditions are true in this case, hence the correct option is given by:

no, because it is not looking for the first occurrence of success.

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Answer:

C=5/9F−5/9(32)

you can see the slope of the graph is 5/9, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9 of 1 degree Celsius. Therefore, statement I is true.

This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5 degrees Fahrenheit. Since 95 = 1.8, statement II is true.

On the other hand, statement III is not true, since a temperature increase of 9/5 degrees Fahrenheit, not 5/9 degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.

The final answer is D.

Answer:

To answer the question, we first need to understand the basic principles of arithmetic and temperature measurement.

Temperature is a measure of the average kinetic energy of the particles in an object or system and can be measured in several different scales, including Celsius (°C), Fahrenheit (°F), and Kelvin (K). In this case, we are dealing with temperatures measured in degrees Celsius.

The Celsius scale is a temperature scale used by the International System of Units (SI). As an SI derived unit, it is used worldwide. In the United States, however, the Fahrenheit scale is more frequently used. The Celsius scale is based on 0°C for the freezing point of water and 100°C for the boiling point of water at 1 atmosphere of pressure.

In this problem, we are given that the high temperature on Monday was -2°C. We are then told that on Tuesday it was five degrees warmer.

To find out what the high temperature was on Tuesday, we need to add five degrees to Monday's high temperature. This is a simple arithmetic operation: addition. Addition is one of the four basic operations in elementary arithmetic (the others being subtraction, multiplication, and division).

So, if we add 5°C to -2°C, we get:

-2°C + 5°C = 3°C

Therefore, the high temperature on Tuesday was 3°C.

There are 2,373 sets of five marbles that include at least two yellow ones.

We can use the complement rule to find the number of sets of five marbles that include at least two yellow ones. The complement of this event is the event that a set of five marbles includes zero or one yellow one.

The number of sets of five marbles that include zero or one yellow one can be found by adding the number of sets that include zero yellow ones to the number of sets that include exactly one yellow one.

The number of sets of five marbles that include zero yellow ones is the number of ways to choose five marbles from the remaining ten marbles, which is 10 choose 5 or C(10,5) = 252.

The number of sets of five marbles that include exactly one yellow one is the product of the number of ways to choose one yellow marble (which is 3) and the number of ways to choose four marbles from the remaining nine marbles, which is 9 choose 4 or C(9,4) = 126.

Therefore, the number of sets of five marbles that include at least two yellow ones is the total number of sets of five marbles (which is 15 choose 5 or C(15,5) = 3003) minus the number of sets of five marbles that include zero or one yellow one:

C(15,5) - C(10,5) - C(3,1) * C(9,4)

= 3003 - 252 - 3 * 126

= 3003 - 630

= 2373

Therefore, there are 2,373 sets of five marbles that include at least two yellow ones.

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60° because it's an equilateral triangle

Answer:

(3x + 1)(2x - 5)

Step-by-step explanation:

6x² - 13x - 5

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term , that is

product = 6 × - 5 = - 30 and sum = - 13

the factors are + 2 and - 15

use these factors to split the x- term

6x² + 2x - 15x - 5 ( factor the first/second and third/fourth terms )

= 2x(3x + 1) - 5(3x + 1) ← factor out (3x + 1) from each term

= (3x + 1)(2x - 5) ← in factored form

The null hypothesis is found as: H0: μ = 5.0

The  alternative hypothesis is found as: Ha: μ ≠ 5.0

The null hypothesis, denoted as H0, states that there is no significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In symbols, the null hypothesis can be represented as:
H0: μ = 5.0

The alternative hypothesis, denoted as Ha, states that there is a significant difference between the mean GPA of students in the university and the reported value of 5.0 (out of 7.0).

In words, the alternative hypothesis can be stated as:
Ha: μ ≠ 5.0

Where μ represents the population mean GPA. The alternative hypothesis indicates that there is a difference, either higher or lower, between the mean GPA of students in the university and the reported value.

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neither even nor odd.

a) Sketch the function $f$Firstly, if $x < -3$ then $f(x) = 4-x$.This function starts from (4, 0) and goes downwards towards the negative infinity direction. Hence, the graph of $f(x) = 4 - x$ will be a line of negative slope passing through $(4,0)$.b) Show that $f$ is continuous everywhereFor proving that the function $f$ is continuous everywhere, we need to prove that the limit of $f(x)$ exists and is equal to $f(c)$, where $c$ is any arbitrary value of $x$; i.e.$$ \lim_{x\rightarrow c} f(x) = f(c) $$Since this is a linear function and all its powers are 1, the limit will exist at any point on the domain. And since the function is linear in nature, it will be continuous throughout its domain. Therefore, the function $f$ is continuous everywhere.c) Is the function $f$ even, odd, or neither?The function $f$ is neither odd nor even.The function $f$ is even if it satisfies $f(-x) = f(x)$.The function $f$ is odd if it satisfies $f(-x) = -f(x)$.To check if the function $f$ is odd, we will substitute $-x$ in place of $x$ in the function $f(x) = 4-x$ and check if $-f(x) = f(-x)$ holds or not.$$f(-x) = 4 - (-x) = 4 + x$$$$-f(x) = -4 + x$$$$f(-x) \neq -f(x)$$Therefore, the function $f$ is neither even nor odd.

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Step-by-step explanation:

X + y = 10

X - y = 4

Rearrange

X= y + 4

Substitute

( y + 4) + y = 10

2y +4 = 10

2y = 6

Y = 3

If Y= 3,

x = (3) +4

X = 7

The amount he would pay to purchase a laptop today that is the same value as the one he saw in the ad is $390.

Cost price: Cost prize is the price at which the goods and services were purchased.

It is given that,

projected price: $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.

Now, if he pays today for a laptop of the same value as the one in the advertisement, his cost will be 2.5% of $400 less, or as follows:

cost price of laptop = $400 - 2.5& x 400

cost price of laptop = 97.5% x $400

cost price of laptop = $390

As a result, the laptop that he needs right now will cost $390.

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15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

\( \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(8 + b) = 28 \\ \\ \longmapsto \: 8 + b = 14 \\ \\ \longmapsto \: b = 6cm\)

Answer:

they are all c

Step-by-step explanation:

Answer:

30% of 30

= 30/100 × 30

= 900/100

= 9

Step-by-step explanation:

i have solve it above

i hope this helped

Answer:9

Step-by-step explanation:

3x3=9

30x30=90

90/30=3

3x3=9

P.s can you please mark me brainliest

The ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is  1.2:1

To calculate the perimeter ratio of the smaller triangle to the bigger triangle, compare the corresponding sides of the two triangles.

The scale factor of similarity is equal to the ratio of equivalent sides of similar triangles.

In this situation, the smaller triangle's longest side is 15, and the larger triangle's longest side is 18. Divide the length of the longest side of the larger triangle by the length of the longest side of the smaller triangle to find the scale factor of similarity.

The scale factor is 18/15 = 1.2.

The similarity scale factor is 1.2.

The scale factor is equal to the ratio of the perimeters of the two triangles. Therefore, the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle is:

Ratio = 1.2

So, the correct option is 1.2:1.

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The probability  that both bills are $1 is 0.76

Following the selection of one $1 bill, the remaining number of $1 bills in the bag is reduced to 19.

Based on statistical analysis, there is a high likelihood of selecting a $1 bill on the second attempt, with a confidence level of 95%.

The probability of drawing two $1 bills is mathematically deduced to be zero. The attainment of a numerical outcome of 76 is contingent upon the computation of the product derived from the probability of selecting a $1 bill during the initial endeavor, which stands at 4 out of 5, and the likelihood of selecting another $1 bill in a consequent endeavor, which amounts to 19 out of 20.

In an alternative expression, the probability of two bills being $1 bills simultaneously is 76%.

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The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer:

see below

Step-by-step explanation:

perimeter = 2*(6.25x - 3.5 + 3.5 x +6) =2(9.75x+2.5) = 19.5x+5

The process of Visualizing Modernist Poetry involves analyzing the poem for themes and motifs, choosing a visual medium, creating a visual representation that incorporates those motifs etc..

Visualizing modernist poetry can be a creative and subjective process, but here is an example of one approach you could take:

Read and analyze the poem: Before you start visualizing, it's important to understand the themes and imagery of the poem.

Identify key images and motifs: As you read through the poem, take note of recurring images and motifs.

Choose a visual medium: Depending on your preferences and skills, you could use a variety of mediums to create a visualization of the poem.

Create a visual representation: Using your chosen medium, create a visual representation of the poem that incorporates the key images and motifs you identified.

Reflect on your visualization: Once you've created your visualization, take some time to reflect on what you've created and what it reveals about the poem.

Share your work: Finally, if you feel comfortable, share your visualization with others and get feedback.

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Answer:

12 1/4 or (Decimal: 12.25)

Step-by-step explanation:

(3 1/2) (3 1/2)

= 7/2 (3 1/2)

= 7/2 (7/2)

= 49/4

= 12 1/4

   I hope I helped you!!

Step-by-step explanation:

When we multiplying, we find the sum of the exponents so

\(3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3\)

The significance level is the alpha level, which is the probability of rejecting the null hypothesis when it is, in fact, true.

The p-value is the probability of seeing results as at least as extreme as the ones witnessed in the actual data if the null hypothesis is assumed to be true. It’s a way of seeing how strange the sample data is.

When the P-value is higher than the significance level, the null hypothesis is not rejected because there isn't sufficient evidence to refute it.

Hence the correct answer is "B.

Fail to reject the null hypothesis.

Suppose we have a high P-value and the claim was the null hypothesis.

B. There is not significant evidence to reject the claim.

Suppose we have a low P-value and the claim was the alternative hypothesis.

D. There is significant evidence to reject the claim.

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Answer:

A

Step-by-step explanation:

A is the only choice that has all of the steps and in order.

Answer:

sdfg

Step-by-step explanation:

xcvbn