If a₁ = 4 and an = -4an-1 +5 then find the value of a5

A kilogram is a unit of mass in the metric system and is often used to measure the weight of food items. One kilogram is equivalent to 35.27 ounces. To determine how many ounces of peanut butter you used for your sandwich, you need to convert the mass in kilograms to ounces.

In this case, the jar contains 1.41 kg of peanut butter. To find the amount of peanut butter you used, you multiply the total amount by the percentage of the peanut butter you used. In this case, 8.0% of 1.41 kg is 0.11 kg of peanut butter.

Finally, you convert the 0.11 kg of peanut butter to ounces using the conversion factor of 35.27 ounces per kilogram. So 0.11 kg * 35.27 oz/kg = 3.88 ounces of peanut butter.

This answer is expressed to two significant figures because the original mass of the peanut butter is given to two significant figures (1.41 kg) and the percentage of peanut butter used is also given to two significant figures (8.0%).

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Answer:

Answer can be found with the help of a calculator.

Step-by-step explanation:

Volume of sphere = 4/3 × pi × 3ft³

= Answer

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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Answer:

1/2 is more than 2/12

Step-by-step explanation:

Answer:

y=3x (squared) -30x+79 and y-intercept is 79

Step-by-step explanation:

Answer: i might be wronge but 9x - 4 / x^2

Step-by-step explanation:

Answer:

b value is 3

rise = 3 run = -2

another point could be (2,0)

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

8/40->4/20->2-10->1/5

Hope this helps!

Answer:

1\5

Step-by-step explanation:

8/40 = 4/20 = 2/10 = 1/5

The required x-intercept of line 4x + 2y ≥ 14 is (3.5, 0).

The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.

The x-intercept of a line is the point at which the line crosses the x-axis.

To determine the x-intercept of line 4x + 2y ≥ 14, we need to set y equal to 0 and solve for x.

When y = 0, the inequality becomes 4x ≥ 14.

Dividing both sides by 4 gives x ≥ 14/4, or x ≥ 3.5.

So, the x-intercept of line 4x + 2y ≥ 14 is (3.5, 0).

It's the point where the line crosses the x-axis and the y-value is 0.

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Answer:

Your normally hourly rate would be 612.18$

(a) To prove the equation ||u' - v|| = √2√(1 - u · v) in R², where u and v are unit vectors, we can use the properties of the dot product and vector norms.

First, let's expand the norm on the left side of the equation:

||u' - v||² = (u' - v) · (u' - v)

Expanding the dot product, we have:

||u' - v||² = (u' · u') - 2(u' · v) + (v · v)

Since both u and v are unit vectors, their norms are equal to 1:

||u' - v||² = (1) - 2(u' · v) + (1)

Simplifying, we have:

||u' - v||² = 2 - 2(u' · v)

Now, let's focus on the right side of the equation:

√2√(1 - u · v) = √2√(1 - (u' · v))

Taking the square of both sides, we have:

2 - 2(u' · v) = 2 - 2(u' · v)

Therefore, the equation ||u' - v|| = √2√(1 - u · v) holds in R².

(b) To prove that if x'ui = ||ui|| for all i, 1 ≤ i ≤ n, where U = {u₁, ..., un} is an orthonormal basis for Rⁿ and x ∈ Rⁿ, then x = u₁ + ... + un.

Since U is an orthonormal basis, each ui is a unit vector, and they are linearly independent, forming a basis for Rⁿ. We can write any vector x ∈ Rⁿ as a linear combination of the basis vectors:

x = c₁u₁ + c₂u₂ + ... + cnun

Now, let's calculate the dot product of x with each basis vector ui:

x · ui = (c₁u₁ + c₂u₂ + ... + cnun) · ui

= c₁(u₁ · ui) + c₂(u₂ · ui) + ... + cn(un · ui)

Since the basis vectors are orthonormal, the dot product of any two distinct basis vectors is zero:

(uj · ui) = 0 (for j ≠ i)

Therefore, the dot product simplifies to:

x · ui = ci(u · ui)

Given that x · ui = ||ui|| for all i, we have:

ci(u · ui) = ||ui||

Since ui is a unit vector, the dot product (u · ui) is equal to the norm of u:

ci ||ui|| = ||ui||

This equation holds for all i, 1 ≤ i ≤ n. Since ||ui|| is non-zero (as ui is a unit vector), we can divide both sides of the equation by ||ui||:

ci = 1

Hence, each coefficient ci is equal to 1. Therefore, we can rewrite x as:

x = u₁ + u₂ + ... + un

If x'ui = ||ui|| for all i, 1 ≤ i ≤ n, where U = {u₁, ..., un} is an orthonormal basis for Rⁿ, then x can be written as the sum of the basis vectors: x = u₁ + u₂ + ... + un.

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Answer:

w/2 = 7.5/5

3kg

Step-by-step explanation:

Remaining question below:

Which proportion could Maddy use to model this situation?

a. w/2 = 7.5/5

b. w/7.5 = 5/2

Solve the proportion to determine the weight of a 2 liter jug.

_____kg

5 liters jug of sport drink weighs 7.5kg

2 liters jug of sport drink will weigh x kg

Find w

Ratio of weight to volume

7.5kg : 5liters=7.5/5

wkg : 2 liters=w/2

Equates the ratio

7.5 / 5 = w / 2

Cross product

7.5*2=5*w

15=5w

Divide both sides by 5

3=w

w=3kg

Therefore, weight of the 2liters jug of sport drink is 3kg

Answer:

The answer is 3kg!

Step-by-step explanation:

Thus, the value of the quantity x^2 0.05,5 is found to be 0.00001x^2.

The expression x^2 0.05,5 can be a bit confusing, but it essentially means that we need to multiply x^2 by the value of 0.05 repeated five times.

In other words, we need to find the value of x^2 multiplied by 0.05^5.

To do this, we can use our calculator or a scientific calculator. We can first calculate 0.05^5, which gives us the value of 0.00001.

Then, we can multiply this value by x^2 to get the final answer.

Therefore, the value of x^2 0.05,5 is 0.00001x^2. This means that if we know the value of x, we can substitute it into the expression to get our final answer.

In summary, to determine the value of x^2 0.05,5, we need to multiply x^2 by 0.05^5, which gives us the final result of 0.00001x^2.

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Given:

The vertices of the triangle are (-3,-3), (-3,2), and (1,2).

Required:

We need to find the area of the given triangle.

Explanation:

Mark the points on the graph and join them.

A(-3,2), B(-3,-3), and C(1,2).

The given triangle is a right-angled triangle.

The height of the given triangle is the length of AB.

The base length of the given triangle is the length of AC.

Consider the distance formula.

Use the distance formula to find the length of the line segments.

Consider the points A(-3,2) and B(-3,-3),

Consider the points A(-3,2) and C(1,2).

We get h=AB=5 and b=AC=4.

Consider the area of the triangle formula.

Substitute h=5 and b=4 in the formula.

Final answer:

Answer:

Independent variable is the number of pigs

The dependent variable is the pounds of feed

The domain is ( 1, 2, 3)

The range is ( 55, 110, 165)

The relation is a function

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

it passes through (0,1) and (2,0)

slope=(0-1)/(2-0)=-1/2

eq. of line through (0,1) and slope -1/2 is

y-1=-1/2(x-0)

2y-2=-x

x+2y=2

The correct answer is A. The selling price of a bond is affected by the coupon rate and the market interest rate.

If the coupon rate is less than the market interest rate, investors will not be interested in buying the bond because they can get a higher return elsewhere. This results in the selling price of the bond being less than its face value of $10,000.
The selling price of a $10,000 5-year bond will be less than $10,000 if the:
A. Coupon rate is less than the market interest rate

This is because when the coupon rate (the interest paid by the bond) is lower than the market interest rate, investors would prefer to invest in other options that offer a higher return. Therefore, to attract buyers, the bond's selling price would be discounted to compensate for the lower coupon rate.

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Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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The average rate of change over the interval x = 3 and x = 7 is 30

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

The equation is given as

g(x) = 2ˣ - 1

The interval is given as:

x = 3 and x = 7

Start by calculating g(3) and g(7)

So, we have

g(3) = 2³ - 1 = 7

g(7) = 2⁷ - 1 = 127

So, the average rate over these intervals is calculated as:

Average rate = [g(b) - g(a)]/[b - a]

This gives

Average rate = [g(7) - g(3)]/[7 - 3]

Substitute known values

Average rate = [127 - 7]/[7 - 3]

Simplify

Average rate = 120/4

Average rate = 30

Hence, the average rate of change is 30

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The variance of the sample means that is found in the sample distribution that we have here is 0.3333

This is the measure of dispersion that is used to show the spread of the data that is contained in a data set

The formula that we are to use here is given as

b² - a² / b - a

we have to put the values in this question

(14 - 2)² / 14 - 2

= 144 / 12

= 12

From here we would have to solve for the variance.

The variance = 12 / 35

= 0.3333

Hence the variance that we have in the question is equal to 0.3333

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Answer:

a) 2.5×2.5×2.5-1.4×1.4×1.4=12.881

b) (2.5)2+2.5×1.4+(1.4)2=31.5

Step-by-step explanation:

yuh multiple 2.5 three times and subtract 1.4 multiple three times. 2.5×2.5×2.5-1.4×1.4×1.4

15.625-2.744=12.881.

b) when opening bracket Yuh multiple the number in the bracket by the number outside the bracket. when bracket is open Yuh can now add, multiple to obtain your answer please

(2.5)2+2.5×1.4+(1.4)2

5+2.5×1.4+2.8

7.5×4.2=31.5

Answer:

5 (x + 3) = 3x + 17

you welcome :)

Answer:

CORRECT AMONDO

Step-by-step explanation:

Answer:

Rearrange [1] to get an expression for

x

[

3

]

XXXXX

x

=

3

+

3

y

Substitute the expression for

x

from [3] into [2]

[

4

]

XXXXX

2

(

3

+

3

y

)

+

9

y

=

11

Simplify

[

5

]

XXXXX

6

+

6

y

+

9

y

=

11

[

6

]

XXXXX

15

y

=

5

[

7

]

XXXXX

y

=

1

3

Substitute the value of

y

from [7] into [1]

[

8

]

XXXXX

x

−

3

(

1

3

)

=

3

Simplify

[

9

]

XXXXX

x

=

4

The solution is

(

x

,

y

)

=

(

4

,

1

3

)

Step-by-step explanation:

Answer:

A,C,E

Step-by-step explanation:

Answer:

x = 6     Hope this helps have a great day! :)

Step-by-step explanation:

(3x-2)÷4=2x-8

3x-2 = 4·(2x-8)

3x-2 = 8x-32

-2 = 5x-32

30 = 5x

x = 6

Answer:

x = 6

Step-by-step explanation:

(3x-2) / 4 = 2x- 8       Multiply both sides of the equation by 4   to get:

3x-2 = 8x - 32             add 32 to both sides

3x + 30 = 8x                    subtract 3x from both sides

30 = 5x                       divide both sides by 5

6 = x

Answer:

a, 6.63324958....

Step-by-step explanation:

out of the families that have DS, 20 have both, so subtract them from the absolute to get 124 - 20 = 104.

out of the families that have WII, 20 have both, so subtract them from the all-out to get 186 - 20 = 166.

you presently have 3 classifications that are unadulterated.

104 own DS in particular.

266 own WII in particular.

20 own both.

the complete that possesses either a DS or a WII however not both is equivalent to 104 + 266 = 370.

you need to subtract 20 from every classification since it is remembered for both.

it is remembered for DS and it is remembered for WII.

Market surveys are apparatuses to straightforwardly gather criticism from the interest group to grasp their qualities, assumptions, and prerequisites. Marketers foster previously unheard-of techniques for impending items/benefits however there can be no affirmation about the outcome of these methodologies.

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the complete question is:

A company conducted a marketing survey for families with young children and found that 124 families own a Nintendo DS and 186 families own a Nintendo Wii. If 20 own a Wii and a DS, how many own either a Wii or DS, but not both?

Answer:

answer is c

Step-by-step explanation:

Solution:

Given the parallelogram below:

According to the properties of a parallelogram, the opposite sides are parallel and equal in dimensions.

Thus,

A) Height of the parallelogram:

The length BE is the height of the parallelogram, which is evaluated using the Pythagorean theorem.

According to the Pythagorean theorem,

Where

To evaluate h, we need to determine the value of EC.

Recall that

Thus, we have

We can now determine the value of h.

From the Pythagorean theorem,