Identify two specific things that the Ewok could do (or say) to negotiate a higher price.

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.−8a2+64a−497+4000a+8

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▹ Answer

182 boxes

▹ Step-by-Step Explanation

$500 ÷ $2.75

= 181.81 ... → 182 boxes

Hope this helps!

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Answer:

182

Step-by-step explanation:

500/2.75  = 181.81

181.81 = 182

Answer:

  a.  2, 3, 6

  b.  a/b × c = 1

  c.  a = 2, b = 6, c = 3  or  a = 3, b = 6, c = 2

Step-by-step explanation:

Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.

__

There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.

__

If the three numbers are represented by a, b, c, Erica wants ...

  a/b × c = 1

__

Multiplying the equation by b gives ...

  ac = b

Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...

  a = 2, b = 6, c = 3   ⇒   (2/6)×3 = 1

  a = 3, b = 6, c = 2   ⇒   (3/6)×2 = 1

__

No scoring information is provided.

Answer:

-1 1/2

Step-by-step explanation:

So first convert the 2/3 into a LCM of 2 1/6 which will be 4/6

Then convert 2 1/6 into an improper fraction

You’d get

4/6-13/6

Solve normally

-9/6

-1 3/6

-1 1/2

Answer:

1). y= -4+ 4x

2). y= 3+ x/2

Step-by-step explanation:

hope this helps !

Answer:

3/10

Step-by-step explanation:

1) 5/20+1/20= 6/20

2) Both 6 and 20 lowest number on dividing: 2

6 divide by 2= 3     20 divide by 2= 10

5/20+1/20

= 5+1/20

= 6/20

= 3/10

Answer:

s

Step-by-step explanation:

s

Answer:

Step-by-step explanation:

dudjdjd

The inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3

The function is given as:

f(x) = 4^(x + 3) -2

Rewrite as:

y = 4^(x + 3) -2

Swap x and y

x = 4^(y + 3) -2

Add 2 to both sides

x + 2 = 4^(y + 3) -2 + 2

This gives

x + 2 = 4^(y + 3)

Take the logarithm of both sides

log(x  + 2)= log(4)^(y + 3)

Apply the base rule of logarithm

log(x  + 2)= (y + 3)log(4)

Divide both sides by log(4)

log(x + 2)/log(4) = y + 3

Apply the change of base rule of logarithm

log₄(x + 2) = y + 3

Subtract 3 from both sides

log₄(x + 2) - 3 = y + 3 - 3

Evaluate the difference

log₄(x + 2) - 3 = y

Rewrite as:

y = log₄(x + 2) - 3

Rewrite as:

f-1(x) = log₄(x + 2) - 3

Hence, the inverse function of f(x) = 4^(x + 3) -2 is f-1(x) = log₄(x + 2) - 3

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The domain and range of the given graph is \([-3,-2) \sqcup (-1,5]\) and \([-5,4)\) respectively .

From the graph , we can see that the left most point is when x = -3 and this point is closed in endpoint, so we will include this value of x in the domain.

Whereas its another point is on x = -2 which is not filled up so , we will not consider this value of x in the domain. In the interval , domain can be represented by \(-3\leq x < -2\)  .This interval can be written as \([-3,-2)\)

Now , the right most point is when x = 5 which is filled up so we will include this value of x in the domain. Whereas it's another endpoint is at x = - 1 , we will not consider this value of x in the domain as it is not filled up. In the interval , domain can be represented by \(-1 < x\leq 5\) .This interval can be written as \((-1,5]\) .

In order to get the full domain of the function we will use union symbol

 \([-3,-2) \sqcup (-1,5]\)

For the range , we will observe the values of y . The lowest point is when y = -5 which is filled up so we will include this value of y in the range.

Whereas the highest point is when y = 4 which is not filled up so , we will not consider this value of y in the range . In the interval , range can be represented by \(-5\leq y < 4\) .Since there are no gaps in the range, we don't use any union symbols here and hence range is \([-5,4)\)

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Answer:

Step-by-step explanation:

(19 - 7)/(6 - 2) = 12/4= 3

y - 7 = 3(x - 2)

y - 7 = 3x - 6

y = 3x + 1

9514 1404 393

Answer:

  x = g(y) = (4 -5y)/(7 -5y)

Step-by-step explanation:

The inverse function y = f(x) is found by solving x = f(y) for y.

  \(x=f(y)\\\\x=\dfrac{4-7y}{5-5y}\\\\5x-5xy=4-7y\qquad\text{multiply by $(5-5y)$}\\\\7y-5xy=4-5x\qquad\text{add $(7y-5x)$}\\\\y=\dfrac{4-5x}{7-5x}\)

You apparently want this written as a function of y:

  x = g(y) = (4 -5y)/(7 -5y)

Answer:

e

Step-by-step explanation:

use a calculator online

The probability of winning the grand prize is 0.00101 if the In the Michigan State Lottery, a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

Total outcome = C(49, 6)  (repetition not allowed)

= 13983816

Favourable outcomes = 49⁶

Probability of winning the grand prize:

= 13983816/49⁶

After calculating:

P = 0.00101

Thus, the probability of winning the grand prize is 0.00101 if the In the Michigan State Lottery, a player wins the grand prize by correctly picking 6 different numbers from 1 to 49.

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Answer:

22 pounds is the answer to the question

Answer:

First recipe needs = 3/8

Second recipe needs = 5/8

Step-by-step explanation:

Given:

Two recipes needs butter = 1 pound

One recipe needs 1/4 pound more

Find:

Each recipe needs butter

Computation:

Assume;

First recipe needs = x

Second recipe needs = x + (1/4)

Two recipes needs butter = First recipe needs + Second recipe needs

x + x + (1/4) = 1

2 x = 1 - (1/4)

2 x = 3/4

x = 3/8 pound

First recipe needs = 3/8

Second recipe needs = x + (1/4) = (3/8) + (1/4) = 5/8

Second recipe needs = 5/8

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ\(10^0\)

⇒ 86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)₅

Since we need to go down to up to 321₅ will be the correct answer.

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a) The formula to represent the relationship is y = 0.50x + 15

b) On a coordinate plane the graph will be a straight line because it is a linear function

c) the slope is 0.50 and y intercept is 15

2.(a) The slope of the line is calculated to be 2/5

b) In one minute, Kailee will run 0.4 laps

c) In 24 minutes, she will run 9.6 laps

The slope, m of the linear function is calculated using the points on the graph (5.5, 2.2) and  (11, 4.4)

m = (y₀ - y₁) / (x₀ - x₁)

m = (2.2 - 4.4) / (5.5 - 11)

m = (-2.2) / (-5.5)

m = 2/5

The equation is y = mx where m = 2/5 = 0.4

in one minute, x = 1,

y = 2/5 * 1 = 2/5 laps

in 24 minutes, x = 24

y = 2/5 * 24 = 9.6 laps

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From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

who will answer??

Step-by-step explanation:

It will take Aaron 1.38 hours to travel 18 miles downstream as per time distance calculation.

"To work out speed, divide the distance of the journey by the time it took to travel, so speed = distance divided by time. To calculate time, divide distance by speed. To get the distance, multiply speed by time.

You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time."

Given, speed of Aaron's boat is 9 miles per hour.

Speed of the river is 4 miles per hour.

Therefore, speed of Aaron's boat downstream is

= (9 + 4) miles per hour = 13 miles per hour.

Therefore, in order to travel 18 miles downstream Aaron will need

= \(\frac{18}{13}\) hours = 1.38 hours.

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According to the properties of a parallelogram, the consecutive interior angles are supplementary, this is that the sum of its measures is 180.

Use the expressions given for 2 of the consecutive angles to find the value of x. Remember, the sum of these expressions must be 180.

x has a value of 14.

To solve this, we are ggoing to use the formula below:

where A is the area of base

P is the perimeter of base

s is the slant height

From the diagram given,

Area of the base which is the area of the square is given by

A= 5 x 5 = 25 cm²

Area of the four triangles is given by

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

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Answer:

0.2278

Step-by-step explanation:

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation

z => 72 - 80/4

= -2

Probability value from Z-Table:

P(x ≤ 72) = P(x = 72) => P(x < 72)

0.02275

Approximately =>0.2278

The probability of the calculated value is " 0.0227501", its calculation can be defined as follows:

Mean \((\mu)= 80\\\\\)

Standard Deviation \((\sigma)= 4\)

Since we know that

\(\to Z_{\text{score}} =\frac{x-\mu}{\sigma} \\\\\)

a)\(x = 72\)

\(\to \frac{72-80}{4}=\frac{-8}{4}= -2\)

so,

\(P(x < 72) = P(z < -2) =0.0227501\)

PS: you have to refer z score table to find the final probabilities.

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Answer:

20

Step-by-step explanation:

5 and 4 have no common factors until they are multiplied by each other. So if you were to convert your existing measurements, you would do the following.

(3/4) x (5/5)

(2/5) x (4/4)

Giving you 15/20 and 8/20

Answer:

a

Step-by-step explanation:

Answer:

$0.64 per cup

Step-by-step explanation:

There are 16 cups in 1 gallon, so the number of cups in 2 gallons is:

1 gallon: 16 cups

2 gallon = 2 x 1 gallon = 2 x 16 cups = 32 cups

So we need to find the price of each cup:

1 cup = ($20.48 / 32 cups) = $0.64 per cup.