What is the slope of the following points? (11, 9) and (12, 12)

Answer

Edge length of the cube = 1.067 units

Explanation

The volume of a cube of edge length, L units, is given as

Volume = L³

For this question,

Volume = 1.216 cubic units

L = edge length = ?

Volume = L³

1.216 = L³

We can rewrite this

L³ = 1.216

Take the cube root of both sides

∛(L³) = ∛(1.216)

L = 1.067 units

Hope this Helps!!!

Answer:

We can use the property of similar triangles to solve this problem. The triangles formed by the given sides are similar. Let's call the length of EF "x". Then we can set up the following proportion:

AB/DE = BC/EF

Plugging in the given values, we get:

11/3.3 = 7.9/x

Cross-multiplying, we get:

11x = 7.9 * 3.3

Simplifying, we get:

11x = 26.07

Dividing both sides by 11, we get:

x = 2.37

Therefore, the measurement of EF is 2.37. Answer: (C) EF = 2.37.

Answer:

B.the probability of buying bread and cheese is 0.12

Step-by-step explanation:

The probability of buying bread and cheese is 0.12.

The correct answer is option B.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

To determine if events A and B are independent,

We need to check if the occurrence of one event affects the probability of the other event.

If the events are independent, the probability of both events occurring can be calculated by multiplying the probabilities of each individual event.

Now,

Let A be the event that a shopper buys bread, and B be the event that a shopper buys cheese.

Then, we know that:

P(A) = 0.60 (the probability of buying bread)

P(B) = 0.20 (the probability of buying cheese)

If A and B are independent events, then the probability of both events occurring (i.e., the shopper buys both bread and cheese) is given by:

P(A and B) = P(A) x P(B)

Substituting the given values.

P(A and B)

= 0.60 x 0.20

= 0.12

This means that the probability of a shopper buying both bread and cheese is 0.12 if events A and B are independent.

Therefore,

The probability of buying bread and cheese is 0.12.

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Answer:

I think its about 36 inches

Step-by-step explanation:

Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

87

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

1191 cm²

Step-by-step explanation:

Area of parallelogram = base X vertical height.

Call the vertical line h.

h/ sin 80  =  7/ sin 10

h = (7 sin 80) / sin 10

= 39.7.

Area of parallelogram = 30 X 39.7

= 1191 cm²

The Area of Parallelogram whose side length is 30 cm is 1,190.952 square cm.

Given:

Side length = 30 cm

Using Trigonometry

tan 80 = P / Base

5.6712 = P / 7

P = 39.6984 cm

Using the formula for Area of parallelogram

= Base x height

= 30 x 39.6984

= 1,190.952 square cm.

Therefore, the area is 1,190.952 square cm.

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Answer:

  c = -41/16

Step-by-step explanation:

You want to solve the 2-step linear equation -7/3=2/3c-5/8.

The two steps for such an equation are ...

Step 1 - add the opposite of the constant on the side with the variable term.

  -7/3 +5/8 = 2/3c -5/8 +5/8

  -41/24 = 2/3c . . . . . . . . . . . . . simplify

Step 2 - multiply by the inverse of the coefficient of the variable.

  (-41/24)(3/2) = (2/3c)(3/2)

  -41/16 = c

Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).

  (-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24

  -56 = 16c -15 . . . . . . . simplify; fractions are gone

  -41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant

  -41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable

Sally's average annual percentage gain is approximately 5.26%.

To calculate Sally's average annual percentage gain, we can use the formula:

Average Annual Percentage Gain = (Profit / Initial Investment) * (1 / Time) * 100

Profit = $2500

Initial Investment = $19000

Time = 2.5 years

Substituting the values into the formula:

Average Annual Percentage Gain = (2500 / 19000) * (1 / 2.5) * 100

= (0.1316) * (0.4) * 100

= 5.26

Therefore, Sally's average annual percentage gain is approximately 5.26%.

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Answer:

Step-by-step explanation:

The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

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Answer: 21

Step-by-step explanation:  im not guessing im a certified expert at calculus and have a masters degree in mathmatics so yeah

Answer:

21

Step-by-step explanation:

I did the test

Hope this helps :)

If the value of sin x = 0.2, then the values for sin(π - x) is 0.2.

Given that,

the value of sin x = 0.2

We have to find the value of sin(π - x).

We know the trigonometric rule that,

sin(π - x) = sin (x)

for any value of x.

So here whatever the value of x, the value of  sin(π - x) is sin (x) itself.

So here sin x = 0.2.

So, by the rule,

sin(π - x) = sin (x) = 0.2

Hence the value is 0.2.

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Answer:

Step-by-step explanation:

Answer: ask a parent or a teacher and read you paragraph again

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Median is the middle number of a data set.

You need to first start off with listing the shoe sizes in numerical order:

5, 5.5, 6, 6.5, 6.5, 7, 7.5, 8, 8, 8.5, 9.5

You have a total of 11 numbers in the set, so you can choose the sixth number in the set, which is 7.

So, 7 is the median number.

The median of current data is 6.5 while by adding 9.5 to the data group the median changes to 6.75.

Mode is the highest frequency number while the median is the middle value of a data set after writing in either an increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

As per the given data,

5.5, 6, 7, 8.5 6.5,6.5, 8, 7.5, 8 5

Write the above data in increasing order,

5,5.5,6,6.5,6.5,7,7.5,8,8.5

The median is the middle value thus, 6.5 will be the median.

Now let's add 9.5 to the data group,

5,5.5,6,6.5,6.5,7,7.5,8,8.5,9.5

Now we have two middle values 6.5 and 7

Median = (6.5 + 7)/2 = 6.75

Hence "The median of current data is 6.5 while by adding 9.5 to the data group the median changes to 6.75".

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Answer:

Yes.

(4,5)

Step-by-step explanation:

Yes because the entrance and the lake are 18 units away from each other for quadrant 3. Putting the recycling station in Quadrant I,

it will also be 18 units away from each other, therefore it is the same distance either way.They can put the recycling station in quadrant I, (4,5)

Answer:

Each granola bar costs $0.73.

Step-by-step explanation:

11/15 = 0.73

Answer:

2,893

Step-by-step explanation:

divide 3 by 8679

hope this helps:)

Answer:

answer as indicated above: 8679÷3=2893

Answer:

$4,204

Step-by-step explanation:

Ehthan A = $3,999.73

A = P + I where

P (principal) = $2,400.00

I (interest) = $1,599.73

After 9.75 years

A = $4,204.24

Susan: A = P + I where

P (principal) = $2,400.00

I (interest) = $1,804.24

First, convert R as a percent to r as a decimal

r = R/100

r = 5.75/100

r = 0.0575 rate per year,

Then solve the equation for A

A = Pert

A = 2,400.00(2.71828)^(0.0575)(9.75)

A = $4,204.24

The total amount accrued, principal plus interest, with compound interest on a principal of $2,400.00 at a rate of 5.75% per year compounded continuously over 9.75 years is $4,204.24.

The value of x and y based on the equation will be 3 2/3 and 4 respectively.

The equation given in the question is represented below:

x/5 + y/3 = 3 ..... equation i

3x - 2y = 3 ...... equation ii

Equation i can be rewritten as 3x + 5y = 15

The equations will be:

3x + 5y = 15

3x - 2y = 3

Subtract equation ii from i

3y = 12

Divide both side by 3

3y/3 = 12/3

y = 4

Put y = 4 into equation ii

3x - 2y = 3

3x - 2(4) = 3

3x - 8 = 3

3x = 3 + 8

3x = 11

x = 11/3 = 3 2/3

Therefore, the value of x and y based on the equation will be 3 2/3 and 4 respectively.

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Answer:

B) 10 cm

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to solve for the hypotenuse.

Formula: \(a^2 + b^2 = c^2\)

We can plug in the values for each leg to solve for the hypotenuse.

The answer is Option B: 10 cm

Answer:

The interval    ( 1,8 ; 14,4 ) will contains 99,7 % of all values      

Step-by-step explanation:

For Normal Distribution  N ( μ ; σ ) the Empirical Rule establishes that in the intervals:

( μ  ±  σ )   we find  68,3 % of all values

( μ  ±  2σ ) we find  95,4 % of all values

( μ  ±  3σ ) we find  99,7 % of all values

Then we have a normal distribution  N ( 8,1 ; 2,1 )

3*σ  =  3* 2,1 = 6,3

And   8,1 - 6,3  = 1,8             8,1  + 6,3  = 14,4

Then the interval    ( 1,8 ; 14,4 ) will contains 99,7 % of all values      

a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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Answer:

A. 56.5 cm

Step-by-step explanation:

circumference of the circle is Pi times diameter

diameter is radius times 2

diameter is 9 times 2

diameter is 18

circumference of the circle is Pi times 18

circumference of the circle is 3.14 times 18

circumference of the circle is 56.52

Answer:

18 is the first multiple of 3,6, and 9.

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

We need to find the LCM (lowest common multiple) of 3, 6, and 9. Let's count by multiples of 3 to find it.

3 (not a multiple of 6 or 9), 6 (not a multiple of 9), 9 (not a multiple of 6), 12 (not a multiple of 9), 15 (not a multiple of 6 or 9), 18.

Since 18 is the first number that is a multiple of 3, 6, and 9, that is the answer.

Ending Inventory Cost and Cost of Goods Sold using different inventory methods:

FIFO Method:

Ending Inventory Cost: $11,920

Cost of Goods Sold: $15,068

LIFO Method:

Ending Inventory Cost: $11,996

Cost of Goods Sold: $15,123

Weighted Average Cost Method:

Ending Inventory Cost: $11,974

Cost of Goods Sold: $15,087

Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.

This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.

Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.

This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.

Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.

Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.

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The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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Answer:

1,100 for each section

Step-by-step explanation:

3300 divided by 3 equals 1100

Answer:

the amount of Basil Yamey's capital is £16,480.

Step-by-step explanation:

To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.

The value of his assets is:

Van: £9,000

Market stall: £1,800

Computer: £280

Inventory of goods: £11,200

Cash in hand: £900

Money in the bank: £6,300

Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480

His liabilities are:

Amount still owed for inventory of goods: £5,000

Amount borrowed from Luca Pacioli: £8,000

Total liabilities = £5,000 + £8,000 = £13,000

Therefore, Basil Yamey's capital is:

Capital = Total value of assets - Total liabilities

Capital = £29,480 - £13,000 = £16,480

So the amount of Basil Yamey's capital is £16,480.

Answer:

Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.

The cost of the assets that Basil has purchased is:

£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280

He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:

£21,280 - £5,000 = £16,280

He borrowed £8,000, so the total amount of his capital is:

£16,280 + £8,000 = £24,280

He also has cash on hand and in the bank:

£900 (cash) + £6,300 (bank balance) = £7,200

So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.