The letters of "EAGLES" should be evenly spaced across a 63 inch wide banner, with no margins. Each letter is 8 inches wide. How many inches (x) should exist between each pair of letter?

1) Note the the linearization of th function f(X) at a =1 is l(x) = 2x-3
2) since l(x) = 2x-3, f(1.01) is = - 0.98

Linearization is the process of converting a nonlinear function's gradient with respect to all variables into a linear representation at that moment.

for the  above prompt , we have to use the formula:

l (x) =  f(a) + f' (a) (x-a)

where  (a) is the value fo the function at point a

and f' (a)  is the derivative of the function evaluated at point  a.


Using a =  1, f(a) becomes:


f(1)  = 2 (1) ⁵ - 8 (1) + 5

f (1) =-1


f(x) = 10x⁴ -8

So f' (1 ) when evalutated will give us the slope of the tangent line at x =1

Thus,

f (1 ) = 10 (1)⁴ -8

= 2

Hence substituting all the values into th e linearization formula we get:

l(x) = f( 1) + f '(1) (x-1)

= -1 + 2 *( x-1 )
= -1 + 2x - 2
= 2x -3

This means that the linearization of the function f(x ) at a= 1 is l(x) = 2x-3


b) Given the l(x) above, f(1.01) gives us:

l(x) = 2x -3
= 2 (1.01) -3
= - 0.98

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The solution of the expression -8+27÷(-3)-(-2)​ is determined by applying the rule of BODMAS as -35.

The solution of the expression is calculated by applying the following formula as shown below;

BODMAS;

Based on the rule of BODMAS, we solve the bracket first, then division, before addition and subtraction.

-8+27÷(-3)-(-2)​ = -8+27÷ -1

-8+27÷ -1 = -8 - 27

-8 - 27 = - 35

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Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.

Therefore option A is correct.

The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.

With reference to the table, the occupations that do not require a college degree are:

We were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.

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Answer:

[2 -4/ -6 -2]

Step-by-step explanation:

To solve for Y, we need to rearrange the equation X-2Y=Z to isolate Y.

X - 2Y = Z

2Y = X - Z

Y = (X - Z)/2

Now we substitute the given matrices for X and Z, and solve for Y:

X =

[b  a

4  a]

Z =

[a   c

16  b]

X - Z =

[b-a   a-c

-12   a-b]

Y = (X - Z)/2 =

[(b-a)/2  (a-c)/2

-6       (a-b)/2]

So the answer is Y = [ (b-a)/2, (a-c)/2 / -6, (a-b)/2 ].

Therefore, the answer is (a) [2 -4/ -6 -2].

The calculated value of the matrix Y is [tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]

From the question, we have the following parameters that can be used in our computation:

The matrix definitions

Given that

X - 2Y = Z

So, we have

b - 2c = a

a - 2d = c

4 - 2a = 16

a - 2b = b

So, we have

4 - 2a = 16

-2a = 12

a = -6

Next, we have

a - 2b = b

-6 - 2b = b

3b = -6

b = -2

Next, we have

b - 2c = a

-2 - 2c = -6

-2c = -4

c = 2

Lastly. we have

a - 2d = c

-6 - 2d = 2

-2d = 8

d = -4

The matrix Y is given as

[tex]Y = \left[\begin{array}{cc}c&d\\b&a&\end{array}\right][/tex]

So, we have

[tex]Y = \left[\begin{array}{cc}2&-4\\-2&-6&\end{array}\right][/tex]

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Answer:

Point B and Point G are opposite rational numbers because they are the same distance away from 0

Step-by-step explanation:

-4/3 and 4/3 are almost the same number, except that -4/3 is a negative rational number, while 4/3 is a positive rational number

The answer essential relates to the absolute value (how far a number is away from 0; always a positive value

We can see that -4/3 and 4/3 are both the same distance away from 0 using the number line

-4/3:

-4/3 is -4/3 units to the left of 0.  To get back to 0, you have to move 4/3 units to the right so it is 4/3 units away from 0, even though it's a negative number

4/3:

4/3 is 4/3 units to the right of 0.  To get back to 0, you have to move 4/3 units to the left, but the value remains positive even though you're moving to the left.  Thus, 4/3 is simply 4/3 units away from 0:

Answer:

log(10)

Step-by-step explanation:

We can use the product property for logarithms:

log(a)+log(b)=log(ab)

In our case, a=5 and b=2. We can multiply a and b now to get the new number we're taking the logarithm of.

log(2)+log(5)=log(2×5)=log(10)

Answer: y= 1700 (1- .0325) ^15= 1700(.9675) ^15=1700(.60920660)= 1035.65 km Hope this helps!

Step-by-step explanation:To calculate the area of the forest after 5 years, we need to use the formula:

A = A0 * (1 - r/100)^t

PLEASE MARK BRAINLIST

Answer:

Let's use "g" to represent the number of green lollies in the jar.

According to the problem, there are 6 more orange lollies than green ones, so the number of orange lollies is "g + 6".

We also know that there is only one red lolly.

The total number of lollies in the jar is 47, so:

g + (g + 6) + 1 = 47

Simplifying the equation:

2g + 7 = 47

Subtracting 7 from both sides:

2g = 40

Dividing by 2:

g = 20

So there are 20 green lollies in the jar.

And since there are 6 more orange lollies than green ones, there must be:

g + 6 = 20 + 6 = 26 orange lollies in the jar.

Step-by-step explanation:

Answer:

8 over 15 multiplied by 7 over 14 is equal to 56 over 210

8 over 15 plus 7 over 14 is equal to 217 over 210

8 over 15 plus 8 over 15 is equal to 16 over 15

8 over 15 multiplied by 8 over 15 is equal to 64 over 225

She's taking it out and then she replaces it

and so that means the denominator would stay 15 both times

and since it's a white chip in both draws, it would be 8/15 * 8/15

Answer:

-10x - 8 + 98 = 180

-10x + 90 = 180

-10x = 90

x = -9

-y - 5 = 98

-y = 103

y = -103

-2z + 8 + 98 = 180

-2z + 106 = 180

-2z = 74

z = -37

An equation and solution that tells how long it takes the object to reach a height of 96 feet if its initial height is 208 feet is:

D. 96 = 208 - 16t²

    t = √7

Based on the information provided, we can logically deduce that the height (h) in feet, of this object above the​ ground is related to time by the following quadratic function:

h(t) = h₀ - 16t²

When the initial height is 208 feet and final height is 96 feet, the height function becomes;

h(t) = h₀ - 16t²

96 = 208 - 16t²

16t² = 208 - 96

16t² = 112

t² = 112/16

Time, t = √7 seconds.

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Answer:

0, -2.5

Step-by-step explanation:

First find the latitude coordinate (N-S)

=0

2nd find the longitude coordinate (W-E)

=-2.5

since it's between -3 and -2, we'll put a decimal 5 (.5)

Answer: I think its 1500x

Step-by-step explanation: I multiplied them both.

Hope it helped :D

Answer:

1500000000000

Step-by-step explanation:

i don't know how but the answer is pretty easy but I don't feel like it so yeah there's

11 zero s

Answer:

78

Step-by-step explanation:

(5+8)×12/2=78

(5+8)×12/2=78

The required, difference between the perimeters of the two rectangles is,

⇒ 46.03 in.

Since, rectangles LMNP and WXYZ are similar, their corresponding sides are proportional. Let's denote the scale factor as k.

Then, We get:

k = XY / LM

k = 2.22 / 19

To find the value of k, we can divide 2.22 by 19:

k ≈ 0.117

Hence, The area of rectangle LMNP is given as,

140.6 in².

We can use this to find the length of NP:

LM x NP = area of LMNP

19 x NP = 140.6

NP ≈ 7.4 in

Since, the sides of WXYZ are proportional to those of LMNP, we can find the length of YZ:

XY / YZ = LM / NP

2.22 / YZ = 19 / 7.4

YZ ≈ 1.167 in

Now we can calculate the perimeters of both rectangles:

Perimeter of LMNP = 2(LM + NP) = 2(19 + 7.4) = 52.8 in

Perimeter of WXYZ = 2(XY + YZ) = 2(2.22 +1.167) = 6.77in

Thus, The difference between the perimeters is:

52.8 - 6.77 = 46.03 in

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The probability in percentage form is P(divisor of 54) = 29.6%

The divisors of 54 are:

2, 3, 6, 9 (in the range we care)

Now, in a standard deck there are 52 cards, we have 4 sets, and each of these sets has one of each of the values above.

So out of the 52 cards, there are 4*4 = 16 divisors of 54, then the probability is:

P(divisor of 54) = 16/54

P(divisor of 54) = 0.296

To write it as a percentage just multiply it by 100%.

P(divisor of 54) = 0.296*100% = 29.6%

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Answer:

To find the mean daily passenger count per plane, we need to calculate the average of the passenger counts for the sample.

We can do this by adding up all the passenger counts and dividing by the number of planes in the sample:

(123 + 132 + 158 + 77 + 158 + 123 + 132 + 123 + 158 + 77) / 10

= 1259 / 10

= 125.9

Therefore, the mean daily passenger count per plane is approximately 125.9 passengers.

Step-by-step explanation:

The variance of the data-set in this problem is given as follows:

81 units squared.

The standard deviation for the data-set in this problem is given as follows:

9 units.

The relation between the standard deviation and the variance is that the standard deviation is the square root of the variance, hence the variance is the square of the standard deviation.

Hence the variance of the data-set in this problem is given as follows:

(9 units)² = 81 units².

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Answer: The answer is B and im 100% correct

Step-by-step explanation:

Answer:

10 dollars

Step-by-step explanation:

5 + 5

Answer:

  (d)  5i -j

Step-by-step explanation:

You want the value of the expression 2u -v where u=3i and v=i+j.

Use the given definitions of u and v, and simplify in the usual way.

  2u -v = 2(3i) -(i+j)

  = 6i -i -j . . . . . . . . . eliminate parentheses

  = 5i -j

__

Additional comment

The unit vectors i and j can be treated as though they were variables. The usual properties of equality and (scalar) arithmetic apply.

Answer: D

Step-by-step explanation:The option that is statistical question that can result in numerical data is D) What is the height of the tallest player on a team?

What is a statistical question?

A statistical question is one that can be answered by gathering varying amounts of data. A statistical question is one that may be answered by gathering data and for which the data will vary. Questions answered with a single data point are not statistical questions since the data utilized to answer the question is not variable.

Answer:

B

Step-by-step explanation:

When translating in the y-axis, we want to add or subtract our value outside of the function, or in this case, outside of the modulus.

We want to move 3 units down, or 3 units in the negative direction. Therefore, we take 3 away from the function.

Answer B.

The correct solution of the expression is,

⇒ 16 / e¹²ˣ

We have to given that;

The value of Expression is,

⇒ (2e⁻³ˣ)⁴

Now, We can simplify as;

⇒ (2e⁻³ˣ)⁴

⇒ 2⁴ × e⁻¹²ˣ

⇒ 16e⁻¹²ˣ

⇒ 16 / e¹²ˣ

Thus, The correct solution of the expression is,

⇒ 16 / e¹²ˣ

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Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

[tex]\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2[/tex]

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

We have,

The real exchange rate represents the relative price of goods and services between two countries.

It is calculated by adjusting the nominal exchange rate for differences in the price levels of the two countries.

To calculate the real exchange rate between Pakistan and the U.S., we need to convert the price of the shirt in Pakistan into dollars using the nominal exchange rate.

1800 rupees / 90 rupees per dollar = $20

The price of the shirt in Pakistan is $20, and the price of the same shirt in the U.S. is $25.

The real exchange rate (RER) is calculated as:

RER = (Nominal Exchange Rate * Domestic Price) / Foreign Price

RER = (90 rupees per dollar * 1800 rupees) / $25

RER = 6480 / $25

RER = 259.2

The real exchange rate is 259.2, which means that goods in the U.S. are 259.2% more expensive than goods in Pakistan, after adjusting for the exchange rate.

Arbitrageurs can make a profit if the real exchange rate is different from the equilibrium exchange rate.

The equilibrium exchange rate is the exchange rate at which there is no opportunity for arbitrage.

In this case, the real exchange rate of 259.2 is significantly different from the equilibrium exchange rate.

This implies that arbitrageurs can make a profit by buying the shirt in Pakistan for $20 and selling it in the U.S. for $25.

Therefore,

The real exchange rate (RER) is 259.2.

Arbitragers would buy the shirt in Pakistan for 1800 rupees (which is equivalent to $20) and sell it in the U.S. for $25.

They would make a profit of $5 per shirt.

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