You would like to add freshly made mint ice cream to your restaurant's menu, and
have decided to grow your own mint. Last month, your mint plant was 2 feet, 7
inches tall. You took care of the mint plant properly, and that care has paid off.
This month, it is 4 feet, 1 inch tall. How much did it grow?

The product in simplest form is \(-250\sqrt[3]{50}\) .

In the question,

It is given that,

\(5*\sqrt[3]{5} * (-10\sqrt[3]{50})\)

By radical laws, \(\sqrt{a} * \sqrt{b} = \sqrt{ab}\)

So,

The given question becomes:

\(-50*\sqrt[3]{50*5} = -50*\sqrt[3]{250} = -250\sqrt[3]{5} }\)

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The value of area of logo is,

A = 139.5 cm²

We have to given that;

The shape of a logo is made up of a triangle, a rectangle, and a parallelogram.

Here, Base of triangle = 9 cm

Height of triangle = 7 cm

Length of rectangle = 9 cm

Width of rectangle = 9 cm

Hence, We get;

The value of area of logo is,

A = (1/2 × 9 × 7) + (3 × 9) + (9 × 9)

A = 31.5 + 27 + 81

A = 139.5 cm²

Thus, The value of area of logo is,

A = 139.5 cm²

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Answer:

a11= 3

a12= 7

a13= 20

a21= 1

a22= -4

a23= 9

Step-by-step explanation:

the answer on edge 2020

Answer:

A11 = 3, A12=7, A13 = 20, A21 = 1, A22 = -4, A23 = 9

Step-by-step explanation:

EDGE 2023

The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:

z = (x - μ) / σ

where x is the value, μ is the mean, and σ is the standard deviation.

For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:

z = (70 - 82) / 8 = -1.5

For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:

z = (60 - 72) / 12 = -1.0

The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.

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Answer:

1. 25.74

2. 13.13

3. 9.31

4. 13.47

Step-by-step explanation:

1. solution: C=  (A^2 + B^2 - 2 ab cosy) = C= (10^2 + 19^2 - 2 * 10 * 19 cos (122 degrees) = 25.73654 rounded to the nearest 10 is 25.74

2. Solution: C= (A^2 + B^2 - 2 ab cosy) = C= (14^2 + 8^2 - 2 * 14 * 8 * cos (67 degrees) = 13.13302 rounded to the nearest 10 is 13.13

3. Solution: C=(A^2 + B^2 - 2 ab cosy) = C= (15^2 + 13^2 - 2 * 15 * 13 * cos (38 degrees) = 9.30998 rounded to the nearest 10 is 9.31

4. Solution: C=(A^2 + B^2 - 2 ab cosy) = C= (34^2 + 26^2 - 2 * 34 * 26 * cos (21 degrees) = 13.46959 rounded to the nearest 10 is 13.47

Hope this helped  

Hence, the deal of  $\(479\) is best unit price per blender.

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Oliver is buying equipment for his restaurant. He can buy two blenders for $\(396\) or three blenders for $\(479\).

So,

Oliver buying two blenders at  $\(396\) so the cost of one blender is

i.e., \(\frac{396}{2}=198\)$

Oliver buying two blenders at  $\(479\)  so the cost of three blenders is

i.e., \(\frac{479}{3}=159\)$

Hence, the deal of  $\(479\) is best unit price per blender.

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Answer:

Step-by-step explanation:

We have to the graph from x = -4 to x = 2

2y + x + 3 = 0

Rearrange the equation to make y the subject

2y = -x - 3

y = (-1/2)x -3/2

-3/2 is the y intercept

the gradients is -1/2

since the value is negative, the graph will be sloping downwards

Point your pen at y = -3/2 on the y axis (-3/2 is -1.5)

go 1 point down and 2 points to the right, make a point and connect these 2 dots and make a line across the graph.

Do the same with the other equation:

3y - x + 1 = 0

3y = x - 1

y = (1/3)x -1/3

y intercept is -1/3

gradient is 1/3

point your pen at -1/3 on the y axis, go 1 point up and 3 points to the right

and mark this point and connect these 2 points and make a line across the graph.    

Answer:

$4.5

Step-by-step explanation:

I'm gonna do my work on paper.

Answer:

what is the question? and choices

Step-by-step explanation:

Answer:

It should be both 1/6

Step-by-step explanation:

I am missing information here such as the lesson you probably took to solve these kinds of problems.

Answer:

Step-by-step explanation:

:P  nice points ty :)

find the length of the long diagonal across the tank.  

first find the 2D  diagonal , then use that dist. to find the long 3D diagonal

\(C^{2}\) = \(3^{2}\)+\(4^{2}\)

C = 5    (2D)

now find the 3D

\(C^{2}\) = \(5^{2}\)+\(12^{2}\)

C = 13  inches

( they made it easy ) :)

Answer:

1/4

Step-by-step explanation:

you can plug it into a calculator

To find the limit of the sequence, we need to take the value of "n" to infinity.
So, let's divide both the numerator and denominator by the highest power of "n", which is "2n^2".
an = (2n^2 + 4n + 3) / (8n^2 + 6n + 6)

Now, as "n" tends to infinity, the terms with lower powers of "n" become insignificant. Therefore, we can neglect the terms "4n" and "6n" in the numerator and denominator.
an = (2n^2 + 3) / (8n^2 + 6n + 6)
Now, taking the limit of the sequence as "n" tends to infinity:
limit = lim(n → ∞) [(2n^2 + 3) / (8n^2 + 6n + 6)]
Using the rule of L'Hopital's rule, we can differentiate the numerator and denominator separately with respect to "n".
limit = lim(n → ∞) [(4n) / (16n + 6)]
As "n" tends to infinity, the denominator becomes very large, and the term "6" becomes insignificant. So,
limit = lim(n → ∞) [(4n) / (16n)]
limit = lim(n → ∞) [1 / 4]
limit = 1/4
Therefore, the limit of the sequence is 1/4.

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To solve this problem, we have to determine the 34.4% of 20. To find the x% of y, we can use the following expression:

Therefore, the 34.4% of 20 is:

Subtracting the above amount from20, we get:

Answer:

The cheese bill decreased this week by

The total cheese bill for this week is:

Answer:

The greatest diameter of the lake is 6 miles, the shoreline circumference being approximately 20 miles.

Step-by-step explanation:

Answer:

400 = (x - 10)²

x² -20x -300 = 0

x = 30 and x = -10

Length side of the garden = 20 feet

Step-by-step explanation:

Given:

Area of square garden = 400 square feet

Length side of the garden = (x - 10) feet

Find:

Length side of the garden

Computation:

Area of square = side²

Area of square garden = Length side of the garden²

400 = (x - 10)²

400 = x² -20x + 100

x² -20x -300 = 0

x² -30x  + 10x -300 = 0

x(x - 30) + 10(x - 30) = 0

(x - 30)(x + 10) = 0

So,

x = 30 and x = -10

Use x = 30 positive number

Length side of the garden = (x - 10) feet

Length side of the garden = (30 - 10) feet

Length side of the garden = 20 feet

R is transitive. it is an equivalence relation. We used direct proof technique to prove this.

To prove that R is an equivalence relation, we need to show that it is reflexive, symmetric, and transitive.

Since for every x in A there is a y in A such that x R y, we know that R is reflexive. This is because every element in A is related to itself by R, as given by the premise of the problem.

To show that R is symmetric, let x and y be arbitrary elements in A such that x R y. Since R is symmetric, we know that y R x. But since x R y, and R is transitive, it follows that x R x. Therefore, R is symmetric.

Finally, to show that R is transitive, let x, y, and z be arbitrary elements in A such that x R y and y R z. Since R is transitive, it follows that x R z. Therefore, R is transitive.

Since R is reflexive, symmetric, and transitive, it is an equivalence relation. We used direct proof technique to prove this.

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For the given trigonometric function sin(x/3) = -√3/2 , all the solution for the given interval  [ 0,2π) is given by (x/3) = 4π/3 , 5π/3.

As given in the question,

Given trigonometric function is :

sin(x/3) = -√3/2

sin(x/3) = sin (-π/3)

⇒ x/3 = -π/3

But the interval is given [ 0, 2π)

So valid solution is given by:

π + (π/3) lies in the interval [0,2π)

sin(x/3) = sin (π+π/3)

⇒x/3 = 4π/3

2π -(π/3) lies in the interval [0,2π)

sin(x/3) = sin (2π-π/3)

⇒x/3 = 5π/3

Therefore, for the given trigonometric function sin(x/3) = -√3/2 , all the solution for the given interval  [ 0,2π) is given by (x/3) = 4π/3 , 5π/3.

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The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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The probability of picking an ace on any draw is 4/52 or 1/13.

The probability that the 14th card dealt is an ace is 0.002641

We can first calculate the probability of not getting an ace on the first 13 draws, and then find the probability of getting an ace on the 14th draw:

P(No ace on 1st draw) = 48/52

P(No ace on 2nd draw) = 47/51

P(No ace on the 3rd draw) = 46/50

And so on...

P(No ace on the 13th draw) = 36/40.

P(Ace on 14th draw) = 4/39

To find the probability of these independent events, we multiply their probabilities:

P(Ace on 14th draw) = P(No ace in first 13 draws) x P(Ace on 14th draw)

P(Ace on 14th draw) = (48/52) x (47/51) x ... x (4/40) x (4/39)

P(Ace on 14th draw) ≈ 0.002641

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Answer:

    5 − 15

Step-by-step explanation: Distribute: 3(−5)+ 2 , 3 − 15 + 2

Combine the like terms: 3 − 15 + 2 5 − 15

hope that helped

Answer:

64 and 34

Step-by-step explanation:

Given

a + b = 8 ( square both sides )

(a + b)² = 8² = 64

------------------------------------------------

(a + b)² = 64 ← expand left side

a² + b² + 2ab = 64 ← substitute ab = 15

a² + b² + 2(15) = 64

a² + b² + 30 = 64 ( subtract 30 from both sides )

a² + b² = 34

Assuming Alice has 2 apples, there are 19 ways to split the rest of the apples with Becky and Chris.

The total number of ways to split 24 apples between the three friends is equal to 19 + 18 + 17 + 16 + 15 + ...……+ 2 + 1 = 20 x ( 19 / 2 ) = 190

Alice can share them with Becky and Chris in a variety of ways, as long as each person has at least 2 apples. For example, Alice could give Becky 8 apples and Chris 16 apples, or she could give Becky 10 apples and Chris 14 apples. As long as each person has at least 2 apples, there are many ways for Alice to share her apples.To split the apples, we employ the Ball-and-urn method, also referred to as "Sticks and Stones" or "Stars and Bars."

Hence there are 19 different ways she can share them with becky and chris so that each of the people has at least 2 apples.

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Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

Answer:

576

Step-by-step explanation:

Substitute the variables and solve.

\(a^2b^2c^2\\\\(2)^2(3)^2(4)^2\\\\(4)(9)(16)\\\\576\)

Answer:

As per picture the number of tiles is (just count them):

This represents:

Answer: $22

Step-by-step explanation:

The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.

23 * 8 = 184 ft^2

Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).

184 * 2 = 368 ft^2

Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.

One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.

368 / 320 = 1.15 gallons

To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:

2 * 11 = $22

Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65