A cylinder has a height of 8 yards and a radius of 2 yards. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answer:

Step-by-step explanation:Le quedo +10$

Ya que

-65 y le regalaron +10

The algebraic expression for √(4+x)(10-x), which is 121.

To find the value of √(4+x)(10-x) algebraically, we start by simplifying the given equation:

√(4+x) + √(10-x) = 6

To eliminate the square roots, we can square both sides of the equation:

(√(4+x) + √(10-x)\()^2 = 6^2\)

Expanding the left side using the binomial formula, we get:

(4+x) + 2√[(4+x)(10-x)] + (10-x) = 36

Simplifying further:

14 + 2√[(4+x)(10-x)] = 36

Subtracting 14 from both sides:

2√[(4+x)(10-x)] = 22

Dividing both sides by 2:

√[(4+x)(10-x)] = 11

Now we can square both sides again to get rid of the square root:

[(4+x)(10-x)] = \(11^2\)

Simplifying further:

(4+x)(10-x) = 121

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Answer:

Volume V ≈ 1481.3269 cubic inches

Step-by-step explanation:

Volume V of a cylinder is given by the formula

V = πr²h  where r = radius of the base of the cylinder and h the height

Here we are given the diameter, d = 5.9375 inches

Radius r = d/2 = 5.9375/2 = 2.96875 in

Height h = 53.5 in

V = π x 2.9685² x 53.5 ≈ 1481.3269 cubic inches

Answer V ≈ 1481.3269 cubic inches

Answer:

The predicted price of a 9 room house is $925.3 K.

Step-by-step explanation:

The regression equation for predicting the appraised value (in thousands of dollars) from the  number of rooms for houses in East Meadow, New York is as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

Compute the price of a 9 room house as follows:

\(\text{Value}=748+19.7\ \text{Rooms}\)

         \(=748+(19.7\times 9)\\\\=748+177.3\\\\=925.3\)

Thus, the predicted price of a 9 room house is $925.3 K.

The price of a 9-room house is (c) $252.262

The regression equation is given as:

\(\mathbf{y = 74.8 + 19.7 \times rooms}\)

For a 9-room house, we have:

Rooms = 9

Substitute 9 for rooms in the above regression equation

\(\mathbf{y = 74.8 + 19.7 \times 9}\)

Multiply

\(\mathbf{y = 74.8 + 177.3}\)

Add

\(\mathbf{y = 252.1}\)

The closest to this value is (c) $252.262

Hence, the price of a 9-room house is (c) $252.262

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Answer:

answer....

Herbivores...

There were a total of 95,082 students from country C.

A percentage in mathematics is a figure or ratiο that is stated as a fractiοn of 100. The abbreviatiοns "pct.," "pct," and "pc" are alsο occasionally used. It is frequently denοted using the percent symbol "%," though. The amοunt of percentages has no dimensions. With a denominatοr of 100, percentages are basically fractiοns.

To shοw that a number is a percentage, place a percent symbol (%) next to it. Fοr instance, if you correctly answer 75 out of 100 questiοns on a test (75/100), you receive a 75%. Tο compute percentages, divide the amount by the tοtal and multiply the result by 100. The percentage is calculated using the fοrmula (value/total) x 100%.

x represents the number οf students from cοuntry C.

then 122percent  of x = 116,000

122/100 * x = 116000

x = 116000 * 100/122 = 95,082 students

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The t-value such that the area under the t distribution to the right of the t-value is 0.10, assuming 15 degrees of freedom (df) is 1.753050356.

We have to determine the t-value.

The area in the right tail is 0.10 with 32 degrees of freedom(df).

The t-test is a test that is used as an alternative to the z-test in statistics. If the data are normally distributed but the sample size is small and the population standard deviation is unknown, the t-test is utilized.

A value that appears on the t distribution is the critical t value. The area under the curve and the degrees of freedom can be used to determine the t statistic value.

Using Excel Formula,

The t-value = (=TINV(0.1,15))  

The t-value = 1.753050356

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Answer:

Step-by-step explanation:

Quadratic equation has been given as,

\(y=-x^{2} +6x+4\)

Converting this equation into vertex form,

\(y=-(x^{2}-6x)+4\)

\(y=-[x^{2}-2(3x)+9-9]+4\)

\(y=-[x^{2}-2(3x)+3^2]+4+3^2\)

\(y=-(x-3)^2+4+9\)

\(y=-(x-3)^2+13\)

By comparing this equation with the vertex form of a quadratic equation,

y = (x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the parabola → x = 3, y = 13

Axis of symmetry → x = 3

Answer:

341, 326

Step-by-step explanation:

Answer:

Sheesh that's crazy bro that's real crazy bro

\(\large\texttt{Answer\::}\)

pls refer to the explanation !

\(\large\texttt{Calculations\::}\)

\(\textsf{Area of a circle : $A=\pi r^2$}\)

We're asked to use 3.14 for pi , so we'll do just that .

We have the diameter , so we divide it by 2 to find the radius (remember , the radius is 1/2 of the diameter).

Plug in :

A=3.14*(7)²

A=3.14*49

Multiply :

A=153.86 inches²

\(\footnotesize\texttt{hope\:helpful~}\)

Answer:

Step-by-step explanation:

Given:

Use the area of the circle formula.

AREA OF THE CIRCLE FORMULA:

\(\Longrightarrow: \sf{A=\pi r^2}\)

\(\Longrightarrow: \sf{\pi =3.14}\)

\(\Longrightarrow: \sf{r=\dfrac{14}{2}=7}\)

\(\Longrightarrow: \sf{3.14*7^2}\)

Use the order of operations.

PEMDAS stands for:

BODMAS stands for:

\(\sf{3.14*7^2}\)

First, solve exponents.

\(\Longrightarrow: \sf{7^2=7*7=49}\)

\(\Longrightarrow: \sf{3.14*49}\)

Then, multiply.

\(\sf{3.14*49=\boxed{\sf{153.86}}\)

Solutions:

\(\Longrightarrow: \boxed{\sf{153.86\ in^2}}\)

I hope this helps, let me know if you have any questions.

Answer:

−1<x<2 or 2<x<3

Step-by-step explanation:

You need to find the critical points of the inequality first. Factor must be at left side of equation. Then set factors to 0. Be sure to check intervals in between critical points (test the intervals to see if they work/fit).

Hope this helps!

Step-by-step explanation:

The probability that Becky's proportion of poses held for over a minute is greater than Carla's is 0.741.

This can be determined by using the z-table, which shows the probability that a random variable is in the range that is a certain distance away from the mean.

In this case, we are looking at the probability that a random variable is greater than C, so we use the z-value for 0.741.

The exact expression for g(x) is 2.25cos((2π/4.5)×(x-3.5)) - 4.

A function can be represented using a formula or an equation, and it can be graphed on a coordinate plane. The input values are typically represented on the x-axis and the output values on the y-axis.

From the given information, we know that the function g(x) has a maximum point at (3.5, -4) and a minimum point at (-1, -5).

The general form of a cosine function is f(x) = A×cos(Bx + C) + D, where A is the amplitude, B is the period, C is the phase shift, and D is the vertical shift.

Since the function has a maximum point at (3.5, -4), we know that the graph has been shifted to the left by 3.5 units. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) + D.

Similarly, since the function has a minimum point at (-1, -5), we know that the graph has been shifted upwards by 1 unit. Therefore, we can write the function as g(x) = A×cos(B(x - 3.5)) - 4.

To determine A and B, we can use the fact that the period of the function is 4.5 units (the distance between the maximum and minimum points). Therefore, we have B = 2*pi/4.5.

To determine A, we can use the fact that the amplitude is half the distance between the maximum and minimum points, which is 0.5*(5-(-4)) = 4.5. Therefore, we have A = 4.5/2 = 2.25.

Substituting these values into the equation for g(x), we have:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4

Therefore, the exact expression for g(x) is:

g(x) = 2.25cos((2π/4.5)×(x-3.5)) - 4.

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Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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The area of the shaded sector is 575π/9 square units.

The area of the unshaded sector is 325π/9 square units

The value of the angle subtended by the unshaded sector is 130⁰ the value of the angle subtended by the shaded sector is 230⁰.

To find the area of a sector with radius 10 units and angle 230⁰, we can again use the same formula:

Area of sector = (angle/360) x πr^2

Substituting the values given in the formula, we get:

Area of sector = (230/360) x π(10)²

= (23/36) x 100π

= 575π/9 square units

To find the area of a sector with radius 10 units and angle 130⁰, we can use the formula:

Area of sector = (angle/360) x πr^2

Substituting the values given in the formula, we get:

Area of sector = (130/360) x π(10)^2

= (13/36) x 100π

= 325π/9 square units

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Answer:

option A \((4, \frac{7}{2})\) is the midpoint.

Explanation:

To find midpoint: \((\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

We shall use this formula here:

\((\frac{9+-1}{2}, \frac{5+2}{2})\)

\((\frac{8}{2}, \frac{7}{2})\)

\((4,3.5)\)

Answer:

Step-by-step explanation:

Calculating the exact sea level rise resulting from all the melted ice flowing into Earth's oceans requires precise measurements and data that are subject to numerous variables. However, we can provide a rough estimate based on some general assumptions.

According to the National Snow and Ice Data Center (NSIDC), the total volume of ice on Earth is estimated to be approximately 24 million cubic kilometers (km³). If all of this ice were to melt and flow into the oceans, it would contribute to a rise in sea level.

To convert the volume of ice into a rise in sea level, we need to consider the total surface area of the oceans. The approximate surface area of the Earth's oceans is about 361 million square kilometers (km²).

Using these figures, we can estimate the sea level rise as follows:

Sea Level Rise (km) = Volume of Ice (km³) / Surface Area of Oceans (km²)

Sea Level Rise (km) = 24,000,000 km³ / 361,000,000 km² ≈ 0.066 km ≈ 66 meters ≈ 216.5 feet

Therefore, if all the ice on Earth were to melt and flow into the oceans without changing the ocean basin, it could cause the sea level to rise by approximately 0.066 kilometers (66 meters) or 216.5 feet. However, please note that this is a rough estimate and does not account for factors such as thermal expansion of water or the complex dynamics of ice melting and oceanic response, which can affect sea level rise differently in various regions.

Answer:

50

Step-by-step explanation:

Add up all the numbers

Theoretical Probability of rolling a 2= 1/20

Experimental Probability of rolling a 2 =  1/20

Theoretical probability of rolling a 2:

The theoretical probability of an event is the ratio of the number of favourable outcomes to the total number of possible outcomes. Since there are 8 sides to the cube, the total number of possible outcomes is 8. Since the number 2 appeared 200 times out of 4000 rolls, the number of favorable outcomes is 200. Therefore, the theoretical probability of rolling a 2 is:

Theoretical Probability of rolling a 2 = Number of favourable outcomes / Total number of possible outcomes = 200/4000 = 1/20

Experimental probability of rolling a 2:

The experimental probability of an event is the ratio of the number of times the event occurred to the total number of trials. In this case, the  event is rolling a 2, which occurred 200 times out of 4000 rolls.    

Therefore, the experimental probability of rolling a 2 is:

Experimental Probability of rolling a 2 = Number of times the event occurred / Total number of trials = 200/4000 = 1/20

Comparing theoretical and experimental probability:

If the cube is fair, we would expect the theoretical probability and the experimental probability to be similar. In this case, both probabilities are 1/20, which means that the cube appears to be fair. However, we would need to conduct more trials to be more confident in our conclusion.

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The answer to this problem is 1/6.

The share of the pizza each friend will have is 1 / 6.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that three friends equally share 1/2 of a pizza. The fraction of the pizza shared by each friend will be:-

Fraction of pizza = ( 1 / 2 ) x ( 1 / 3 )

Fraction of pizza = ( 1 / 6 )

Therefore, the share of the pizza each friend will have is 1 / 6.

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a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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The value of x for each question, obtained by using the relationship between the angles formed by the parallel lines l and m and the transversal are;

(1) x = 8

(2) x = 15

(3) x = 6

(4) x = 11

Parallel lines are lines that maintain a fixed distance from each other, such that when extended they do not meet.

(1) The angle (16·x + 5) and (9·x - 25) are same side interior angles

Same side interior angles formed between parallel lines and their transversal are supplementary, therefore;

(16·x + 5) + (9·x - 25) = 180°

25·x - 20 = 180°

25·x = 180 + 20 = 200

x = 200 ÷ 25 = 8

(2) 10·x - 29 and (_x + 1) are corresponding angles

The previous response is 8, we get; (_x + 1)  = (8·x + 1)

Corresponding angles formed between parallel lines are congruent, therefore; 10·x - 29 = (8·x + 1) by definition of congruency

10·x - 29 = 8·x + 1

10·x - 8·x = 1 + 29 = 30

2·x = 30

x = 30 ÷ 2 = 15

(3) The response from the previous question is x = 15

The angle with measure (11·x + _)° is an alternate exterior angle to the angle with measure, (7·x + 39)°

Alternate exterior angles formed between parallel lines and a common transversal are congruent, therefore; (11·x + _)° ≅ (7·x + 39)°

The _ = 15, therefore; (11·x + 15)° ≅ (7·x + 39)°

(11·x + 15)° = (7·x + 39)° definition of congruency

11·x - 7·x = 39 - 15 = 24

4·x = 24

x = 24 ÷ 4 = 6

(4) The value of x from the previous question is 6

The angle with measure (2·x + 43)° is an alternate interior angle to the angle with measure, (_x - 1)°

Alternate interior angles formed between parallel lines and a common transversal are congruent, therefore; (2·x + 43)° ≅ (_x - 1)°
The _ = 6, therefore; (2·x + 43)° ≅ (6·x - 1)°

(2·x + 43)° = (6·x - 1)° Definition of congruency

6·x - 2·x = 43° + 1° = 44°

4·x = 44°

x = 44° ÷ 4 = 11°

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Answer:

Coin A:

10:$46.18

20:$96.74

30:$190.31

60:$1448.66

Coin B

10:$65.16

20:$106.13

30:$172.88

60:$466.98

Coin C

10:$88.81

20:$131.47

30:$194.60

60:$631.18

I think these are right. I've rounded the answers to the nearest 10th place.

The rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

From the question, we have the following parameters that can be used in our computation:

John drove from here to San Antonio which is 180 miles away in 3 hours.

This means that

Distance = 180 miles

Time = 3 hours

Using the above as a guide, we have the following:

Speed = Distance/Time

Substitute the known values in the above equation, so, we have the following representation

Speed = 180/3

Evaluate

Speed = 60

Hence. the rate that is equivalent to the rate at which John drove to San Antonio is 60 miles per hour

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The graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

In mathematics, a graph is a visual representation of a set of objects where some pairs of the objects are connected by links. The objects, which are usually represented by points, are called vertices or nodes, and the links, which are usually represented by lines or arcs, are called edges.

The original function y = 5x + 1 has a slope of 5, which means that for every 1 unit increase in x, y increases by 5 units.

The new function y = 2x + 1 has a slope of 2, which is less steep than the slope of the original function.

However, the y-intercept of both functions is the same, which is 1.Therefore, the graph of the new function would be less steep than the original one but would not be shifted up or down or left or right.

Thus, the correct option is: It would be less steep.

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Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Answer:

Angle 1 is 69°. Angle 2 is 111°

Explanation: