Find the volume of a cylinder with a height of 8cm and a radius of 3cm

9514 1404 393

Answer:

  72

Step-by-step explanation:

  h(4) = 4^3 -2·4 = 64 -8 = 56

  g(4) = 3·4 +4 = 16

Then the sum is ...

  (h+g)(4) = h(4) + g(4) = 56 +16

  (h+g)(4) = 72

Answer:

Step-by-step explanation:

the numbers might be wrong

if one can holds 101,010 liters

just 777 liters will fill easily in one can

Answer:

The average yearly change in the value of the card is $15/year

Step-by-step explanation:

Here in this question, we are interested in calculating the average yearly change in the value of the card.

From the question, we can see that the value of the baseball card has depreciated by $120, thus we simply want to calculate the average yearly charge in the card value.

Mathematically, that would be ;

the total depreciation value/ number of years

From the question, the total depreciation value is $120 while the number of years is 8

Thus; the average yearly change in value of the card = 120/8 = $15/year

Therefore , the solution of the given problem of ratio comes out to be

CD:DE = 1:2. and AB:BC = 2:1 .

Use the simple formula "a / b" to create a group of linked variables "a" and "b," where "b" may also be higher than zero. One ratio is created by combining two equation ratios. If there were only one man and three ladies, the ratio would be 1:1. There are 1/4 males and 3/4 girls in the group. A division between two or more objects, a number, or even a portion of a component's volume are all examples of parts.

Here,

Ratio 1: AB:BC = 2:1

Let's use the midpoint formula to find the coordinates of point C, which is the midpoint of line segment AB:

C = ((5+x)/2, (0+y)/2) = ((5+x)/2, y/2)

Since AB:BC = 2:1, we know that the distance from A to B is twice the distance from B to C. Using the distance formula, we can write:

2 * BC = AB

2 * √((x+1)² + y²) = √((x-5)^2 + y^2)

Simplifying this equation, we get:

4 * (x+1)² + 4y² = x² - 10x + 25 + y²

Simplifying further, we get:

3x²+ 8x - 16y² - 75 = 0

Ratio 2: CD:DE = 1:2

Let's use the midpoint formula to find the coordinates of point E, which is the midpoint of line segment CD:

E = ((p-1)/2, (q-4)/2)

Since CD:DE = 1:2.

Therefore , the solution of the given problem of ratio comes out to be

CD:DE = 1:2. and AB:BC = 2:1 .

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Answer:

(-4, 6) (-1, 0)

Source:

Took test. ✌

Answer:

d

Step-by-step explanation:answer is d on edg

Answer:

1. 70

2. 110

Step-by-step explanation:

Answer:

The answer is: 4(8a+7) I think...

Have a nice day

The option that is not a consequence of a country becoming an exporter of a good is Option 2: "The gains of domestic producers of the good exceed the losses of domestic consumers of the good.

Option 1: "The losses of domestic consumers of the good exceed the gains of domestic producers of the good" is a consequence of a country allowing trade and becoming an exporter of a good. This is because as domestic producers increase their production and sell to foreign buyers, the domestic supply of the good decreases, leading to a rise in its price. This price increase is likely to harm domestic consumers who now have to pay more for the good.

Option 3: "The price received by domestic producers of the good increases" is also a consequence of a country allowing trade and becoming an exporter of a good. As foreign buyers purchase more of the good, domestic producers are able to sell their output at a higher price. This increase in revenue and profits can incentivize domestic producers to increase their production levels.

Therefore, the option that is not a consequence of a country becoming an exporter of a good is Option 2: "The gains of domestic producers of the good exceed the losses of domestic consumers of the good." This option is incorrect because it is in fact a consequence of a country becoming an exporter of a good. As domestic producers increase their production levels and sell more of the good to foreign buyers, their revenues and profits increase, which can lead to gains for the domestic economy as a whole. However, as mentioned earlier, this can come at the expense of domestic consumers who may have to pay higher prices for the good.

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\( \sf \: \frac{5}{8} < \frac{3}{8} x - \frac{1}{4}\)

\(\sf \longmapsto \frac{5}{8} < \frac{3}{8} x + \frac{ - 1}{4} \)

\(\sf \longmapsto \frac{3}{8} x + \frac{ - 1}{4 } > \frac{5}{8} \)

\(\sf \longmapsto \frac{3}{8} x + \frac{ -1 }{4} + \frac{ - 1}{4} > \frac{5}{8} + \frac{1}{4} \)

\(\sf \longmapsto \frac{3}{8} x > \frac{7}{8} \)

\(\sf \longmapsto( \frac{8}{3} ) \times (\frac{3}{8} x) > (\frac{8}{3} ) \times ( \frac{7}{8} )\)

\(\sf \longmapsto \: x > \frac{7}{3} \)

The hiker's distance and bearing from their starting point are approximately 7.155 miles and 28.07°, respectively.

Given that two hikers travel 8 mi southeast and then 6 mi east, we are to find the hikers distance and bearing from their starting point at this time.Long ExplanationThe bearing of the hiker refers to the angle between the hiker's direction and North. So, let us assume that the hiker has initially moved at a direction East, as shown below:We are given that the hiker has traveled 8 miles to the southeast.

Therefore, from the diagram, the distance traveled in the East direction is 8 sin(45) miles, and the distance traveled in the South direction is 8 cos(45) miles. East = 8 sin(45) = 8/√2 = 4√2 miles South = 8 cos(45) = 8/√2 = 4√2 miles We are then told that the hiker travels 6 miles east, from the last position.

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The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.

The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.

Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.

Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.

To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.

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The value of p in the equation m = 4 / (p - d) on solving is p =  (4 + md) / m.

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

m = 4 / (p - d)

Multiply the denominator of the right side by the left term as shown below,

m (p - d) = 4

mp - md = 4

Add md to both sides,

mp - md + md = 4 + md

mp = 4 + md

p =  (4 + md) / m

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Answer:

A

Step-by-step explanation:

The circumference of a circle is given by the following formula:

From this equation, we can solve for r by dividing both sides by 2π, like this:

By replacing 40π for c, we get:

Then, the radius of the circle equals 20

The result for the given 14 length bit string is-

(a) The bit strings of length 14 which have exactly three 0s is 2184.

(b) The bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The bit strings of length 14 which have at least three 1s is 4472832.

A bit-string would be a binary digit sequence (bits). The size of the value is the amount of bits contained in the sequence.

A null string is a bit-string with no length.

The concept used here is permutation;

ⁿPₓ = n!/(n-x)!

Where, n is the total samples.

x is the selected samples.

(a) Because there are exactly three 0s, its other digits have always been one, hence the total of permutations is equal to;

n = 14 and x = 3 digits.

¹⁴P₃ = 14!/(14-3)!

¹⁴P₃ = 2184.

Thus, the bit strings of length 14 which have exactly three 0s is 2184.

(b) Because it is a bit string with 14 digits and it can only have digits 0 or 1, we must choose 7 0s and the remaining 7 1s, hence the number possible permutations is equal to;

n = 14 and x = 7 digits.

¹⁴P₇ = 14!/(14-7)!

¹⁴P₇ = 17297280.

Thus, the bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The answer is identical to problem a, but the rest of a digits could be either 0 or 1, hence it must be doubled by 2¹¹ because there are 11 digits, each of which can be one of two options;

= 2184×2¹¹

= 4472832

Thus, he bit strings of length 14 which have at least three 1s is 4472832.

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The correct question is-

How many bit strings of length 14 have:

(a) Exactly three 0s?

(b) The same number of 0s as 1s?

(d) At least three 1s?

Answer:

didn' t understand ....

Answer:

11. 720 in.^2 12.67.5 ft^2 13. 3.9m^2

Step-by-step explanation:

The range of the possible values of r^2 is 0 to 1. It represents the proportion of the dependent variable’s variance that can be explained by the independent variable(s).


The coefficient of determination, often denoted as r^2, measures the proportion of the dependent variable’s variance that can be explained by the independent variable(s) in a statistical model. The value of r^2 ranges from 0 to 1.
A value of 0 for r^2 indicates that the independent variable(s) does not explain any of the variance in the dependent variable. On the other hand, a value of 1 implies that the independent variable(s) fully explain the observed variance in the dependent variable.
Therefore, the range of the possible values of r^2 is 0 to 1. Any positive numerical value within this range indicates a degree of explanatory power, while values outside this range are not meaningful in the context of r^2. It serves as a useful tool for assessing the strength of a statistical relationship and the predictive ability of a model.

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By induction, the statement is true for all finite sets A. So |P(A)| = 2|A| for all finite sets A.

To show that |P(A)| = 2|A| for all finite sets A, we can use a proof by induction.

Base case: If A is an empty set, then |A| = 0 and P(A) = {∅}. So |P(A)| = 1 = 2^0 = 2|A|, and the base case holds.

Induction step: Suppose the statement is true for a set A with |A| = n. Now consider a set B with |B| = n+1. We can write B = A ∪ {x} for some element x ∉ A. Then P(B) = P(A) ∪ {S ∪ {x} | S ∈ P(A)}. This means that for every subset of A, we have two corresponding subsets of B: one that includes x and one that does not. So |P(B)| = 2|P(A)| = 2 * 2^n = 2^(n+1) = 2|B|. Therefore, the statement holds for |B| = n+1.

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Answer:

See below

Step-by-step explanation:

When x = 0   you will find the y-axis intercept to be

  y = 5 - 0

    y  = 5

when y = 0 you will find the x - axis intercept to be

 0 = 5 - x

  x = 5

Answer:

Angle 1: 115

Angle 2: 65

Angle 3: 115

Angle 4: 65

Angle 5: 115

Angle 6: 65

Angle 7: 115

Step-by-step explanation:

Find the value of angle 2 by applying the vertical angles theorem (65)

Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)

Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)

Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.

There are 120 apples in each basket and 2 leftovers

From the question, the given parameters are:

Number of apples = 482

Number of baskets = 4

the number of apples in each basket is calculated as

Apples in each basket = Number of apples/Number of baskets

Substitute the known values in the above equation

So, we have the following equation

Apples in each basket = 482/4

Evaluate

Apples in each basket = 120.5

Remove the decimal

Apples in each basket = 120

In (a), we have

Apples in each basket = 120.5

The decimal part is

Decimal = 0.5

The number of leftover is then calculated as

Leftover = Decimal * Baskets

So, we have

Leftover = 0.5 * 4

Evaluate

Leftover = 2

Hence, there are 2 leftovers

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Answer:

a+b= 12, a = b+8

Step-by-step explanation:

We know that a plus b equals 12 a+b=12

The only other thing we know is that a is 8 more than b so a=b+8

Answer:

180° is the smallest number of degrees it could be rotated.

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