If the volume of a cylinder is approximately 540π cubic centimeters, and the height is 15 cm, what is the radius of the cylinder?


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Answer:

Step-by-step explanation:

6x - 7(13) < 200

6x - 91 < 200

6x < 291

x < 291/6

x < 97/2

Answer:

\( x < 48.5\)

Step-by-step explanation:

\(6x - 7y < 200 \\ 6x - 7 \times 13 < 200 \\ 6x - 91 < 200 \\ 6x < 200 + 91 \\ 6x < 291 \\ x < \frac{291}{6} \\ x < 48.5\)

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Answer:

3.40

Step-by-step explanation:

47.6 divided by 14 = 3.4

Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

Answer:

\(x=6\)

\(y=21\)

Step-by-step explanation:

\(y=x+15\)

\(y=7x-21\)

\(x+15=7x-21\)

\(-6x+15=-21\)

\(-6x=-36\)

\(x=6\)

\(y=x+15\)

\(y=6+15\)

\(y=21\)

Answer:

4.     \(6.3 \times 10^4\)

6.     \(3.75 \times 10^{-19}\)

Step-by-step explanation:

9.45 * 10^10 / (1.5 * 10^6) = 9.45 / 1.5 * 10^10 / 10^6 = 6.3 * 10^4

9 * 10^(-11) / (2.4 * 10^8) = 9 / 2.4 * 10^(-11) / 10^8 = 3.75 * 10^(-19)

Answer:

Step-by-step explanation:

The equation of a horizontal line is y = b where b is the y-intercept. Since the slope of a horizontal line is 0, the general formula for the standard form equation, y = mx + b becomes y = 0x +b y = b. Also ,since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.

Answer:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Step-by-step explanation:

Horizontal lines have a slope of 0. Thus, in the slope-intercept equation y = mx + b, m = 0. The equation becomes y = b, where b is the y-coordinate of the y-intercept.

Answer: q = 8

Step-by-step explanation: Isolate your variable by dividing each side of the equation by factors that do not contain any variable.

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Answer:

thx

Step-by-step explanation:

Answer:

  36.4%

Step-by-step explanation:

You want the percentage change from $22 to $30.

The percentage change is given by the formula ...

  percent change = ((new value)/(old value) -1) × 100%

  = (30/22 -1)(100%) ≈ 36.4%

The stock increased in value by about 36.4%.

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Answer:

6

Step-by-step explanation:

4% = 12

1% = 12/4

2%= 2 x (12/4) = 6

Answer:

2% of the number is 6

Step-by-step explanation:

4% of a number is 12

We want to know what 2% percent of it is.

So if we divide the number 12 by 2 we will be able to find the answer.

Note: 4%/2 = 2%(which is the percent we are looking for) Which is why if we also divide 12 by 2 which is 12/2 we will get 2% of the number.

12/2=6

Answer:

40  I told u

Step-by-step explanation:

right angles are 90 degrees

Answer :

x +25 +25 =90 degrees

x +50 =90 degrees

x = 90 -50

x = 40 degrees

a. the equilibrium price is $52 per bushel and the equilibrium quantity is 20 bushels.

b. the new equilibrium price is $42 per bushel and the new equilibrium quantity is 15 bushels.

Equilibrium price and quantity:

The equilibrium is the point where the supply and demand curve intersect each other. The point where the demand and supply curve intersect each other, P and Q determine the equilibrium price and quantity respectively.

The given equations for demand and supply of the bananas in Binghamton are:

P = 92 - 2QP = 12 + 2QThe equilibrium price and quantity can be obtained by equating the demand and supply equations,92 - 2Q = 12 + 2Q⇒ Q = 20P = 92 - 2(20)⇒ P = 52

Therefore, the equilibrium price is $52 per bushel and the equilibrium quantity is 20 bushels.

The given equations for demand and supply of the bananas in Binghamton are:

P = 92 - 2QP = 12 + 2QThe demand for bananas increases due to the National Institutes of Health’s study, which shows that bananas reduce the risk of cancer.

The new demand equation is given by:

P = 132 - 2QAt the original equilibrium price ($52), the quantity demanded exceeds the quantity supplied.

Therefore, there is a shortage.

The shortage can be calculated as follows:

Quantity demanded at equilibrium price (P = $52) = Quantity supplied at equilibrium price (P = $52)Qd = 92 - 2(20) = 52 bushels Qs = 12 + 2(20) = 52 bushels Shortage = Qd - Qs= 52 - 52 = 0

Therefore, the shortage is 0 bushels.

c.  Show graphically.

The new demand equation is given by:

P = 132 - 2QTo find the new equilibrium price and quantity, we need to equate the new demand equation with the original supply equation,P = 12 + 2Q (original supply equation)P = 132 - 2Q (new demand equation)⇒ 12 + 2Q = 132 - 2Q⇒ 4Q = 60⇒ Q = 15P = 12 + 2(15)⇒ P = 42

Therefore, the new equilibrium price is $42 per bushel and the new equilibrium quantity is 15 bushels.

The graphical representation is given below:

Graphical representation of new equilibrium price and quantity.

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The set of polynomials is not closed under division.

A set is said to be closed under an operation if the result of that operation on elements of the set is always an element of the set. For example, the set of natural numbers is closed under addition because the sum of two natural numbers is always a natural number.

In the case of polynomials, the set of polynomials is closed under addition, subtraction, and multiplication. This means that if you have two polynomials, you can add, subtract, or multiply them and the result will be another polynomial.

However, when it comes to division, the set of polynomials is not closed. When you divide two polynomials, the result is not always a polynomial. The result can be a polynomial plus some remainder. For example, dividing x^2 + 2x + 1 by x + 1 will give you x + 1 with a remainder of 1.

Therefore, the set of polynomials is not closed under division because the result of dividing two polynomials is not always a polynomial.

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Answer:

∠ A ≈ 44.42°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos A = \(\frac{adjacent}{hypotenuse}\)  = \(\frac{AC}{AB}\) = \(\frac{5}{7}\) , then

∠ A = \(cos^{-1}\) (\(\frac{5}{7}\) ) ≈ 44.42° ( to the nearest hundredth )

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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The 1061 slabs are required to make the sidewalk that runs along the long side of the park.

Given,

Each marble slab adds 2 feet to the length of the sidewalk Number of slabs required to make the sidewalks along the short sides of the park = 1071 and 1840The park is shaped like a right triangle.

If the short sides of the park contain 1071 and 1840 slabs respectively, then the combined length of both sides is:1071 × 2 + 1840 × 2 = 7362 feet

We can use :-

the Pythagorean Theorem to find the length of the long side of the park.a² + b² = c²Where,a = one of the short sides b = the other short side c = the hypotenuse (the long side)Since the park is shaped like a right triangle, a and b are the two shorter sides.

Let's call the length of the hypotenuse x, then:a² + b² = x²1071² + 1840² = x²1139041 + 3385600 = x²4504641 = x²x = √4504641x = 2121.07 feet Since each slab adds 2 feet to the length of the sidewalk, the number of slabs required to make the sidewalk that runs along the long side of the park is:2121.07 / 2 = 1060.53 ≈ 1061

Answer: 1061 slabs are required to make the sidewalk that runs along the long side of the park.

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Answer:

34

Step-by-step explanation:

A = (0, -7)

A' = (0, -14)

B = (8, 8)

B' = (16, 16)

Distance formula = \(\sqrt{({x_{2}- x_{1}})^{2} + ({y_{2}- y_{1}})^{2}}\)

= \(\sqrt{16^{2} + 30^2}\)

= \(\sqrt{1156}\)

= 34

Answer:

Scotty owes the school $1.25.

Step-by-step explanation:

First we add how much he spent:

$1.50 + $1.75 = $3.25

Now we subtract how much money he has on his card.

$3.25 -$ 2.00 = $1.25

Answer:

Step-by-step explanation:

Elevation of the giant spider = -800 feet

That means depth of a giant spider below the surface of ocean = 800 feet

Elevation of the Atlantic wolfish = -300 feet

It shows depth of the Atlantic wolfish below the surface of the ocean = 300 feet

Negative notation shows the distances below the surface of the ocean.

Therefore, Giant spider crab tend to be farther from the surface of the ocean than Atlantic wolfish.

Answer:

Giant spider crab tend to be farther from the surface of the ocean than Atlantic wolfish.

Step-by-step explanation:

Answer:

ASA congruence (A)

Step-by-step explanation:

These triangles have a congruent side in between two congruent angles; this meets the criteria for ASA congruence.

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To solve:

We multiply the denominator by 5:

To write it as a simplified fraction, we can note that 4 * 6 = 24

Then:

Answer:

13ft

Step-by-step explanation:

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

Answer:

  an = 2·2^(n-1)

Step-by-step explanation:

There are simple tests to determine whether a sequence is arithmetic or geometric. The test for an arithmetic sequence is to check to see if the differences between terms are the same. Here the differences are 2, 4, 8, so are not the same.

The test for a geometric sequence is to check to see if the ratios of terms are the same. Here, the ratios are ...

  4/2 = 2

  8/4 = 2

  16/8 = 2

These ratios are all the same (they are "common"), so the sequence is geometric.

The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

Filling in the values for this sequence, we find the general term to be ...

  an = 2·2^(n-1)

Answer: 6.5

Step-by-step explanation:

To perform this kind of exercise, it is necessary to replace the value indicated in each variable each time you find the variable in the equation.

Answer:

6.5

Step-by-step explanation:

Substitute the known variables into the equation

7(0.5) + 5 - 8(0.25)

Multiply: 3.5+5-2

Solve: 6.5

JL, LK, JK are the smallest angle of a triangle is located across from its smallest side. The biggest side is on the other side of the biggest side.

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Answer:

it would be 13

Just do 25 -12

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Answer:

13

Step-by-step explanation:

1) use the formula of distance:

|-25-(-12)|

2) remember that - * - = +

|-25+12|

3) solve the operation

|-13|

4) remember that a distance can’t be negative

13

Answer:16.4

Step-by-step explanation:

because if the whole loaf of bread is 18 slices you take the total amount of carbs (295.2) and divide it by the total amount of bread (18 slices)