A cone with a radius of 3 cm and a height of 6 cm is shown below. Enter the volume of the cone, in cubic
centimeters. Round your answer to the nearest hundredths place.
Need Help ASAP!

Answer:

17

Step-by-step explanation:

10000/600=16.67

If store c sells 122,420 products, then store b sells 6121 products.

Let x = number of products store a sells

If store a sells one fifth as many as store c, then we can write this expression as:

x = 1/5(122,420)

Evaluating, we have:

x = 24,484

If store a sells four times as many products as store b, then we can write the expression for the number of products store b sells as:

x = 4(number of products store b sells)

Plug in the value of x, we have:

24,484 = 4(number of products store b sells)

number of products store b sells = 6121

Therefore, store b sells 6121 products.

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First, the definition of parallel lines is:

Lines on a plane that never meet. They are always the same distance apart.

Considering the definition we draw the parallel line as a line that has all its points at the same distance of the one that passes through A and B.

Answer:

y=2x+9

Step-by-step explanation:

Slope intercept form is y=mx+b

m is the slope  (2)

b is the y-intercept  (9)

Plug the slope and intercept you were given in and you get the equation of the line in slope intercept form

y=2x+9

Answer:

a=4  b = -16  c=9

Step-by-step explanation:

4(x-2)^2 -7

We need to FOIL out the (x-2) ^2

( x-2)^2 = (x-2) (x-2) = x^2 -2x -2x+4 = x^2 -4x+4

Replace this in the equation

4( x^2 -4x+4) -7

Distribute

4x^2 -16x +16 -7

Combine like terms

4x^2 -16x +9

a=4  b = -16  c=9

Answer: a= 4 b=-16 c=9

Step-by-step explanation:

My teacher told me the answer

The research company's analysis of a random sample of 100 junior students' exam scores will provide valuable insights into the accuracy of the reported average score of 74 for the national test.

The parents' concern regarding the low average score on the national test is valid, and their decision to contract a research company to investigate the matter further is a proactive step.

By collecting exam scores from a random sample of 100 junior students, the research company can conduct a statistical analysis to determine if the reported average score of 74 is accurate or potentially inflated.

Random sampling ensures that the selected students represent the larger population of junior students fairly. This approach minimizes bias and allows for generalizations to be made about the entire population based on the characteristics of the sample.

The research company will calculate the mean (average) score of the collected exam scores and compare it to the reported average score of 74. If the calculated mean differs significantly from 74, it suggests that the reported average score may not be an accurate representation of the overall performance of the students.

This analysis will provide objective evidence to support or challenge the parents' claim. If the research company finds that the average score is indeed higher than 74, it strengthens the argument that the reported average was too low. On the other hand, if the calculated mean aligns closely with 74, it may indicate that the reported average was reasonably accurate.

In conclusion, the research company's analysis of the collected exam scores from a random sample of 100 junior students will shed light on the accuracy of the reported average score of 74 for the national test. This evidence-based approach will provide valuable insights and help determine whether the parents' concerns are justified.

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Answer:

24.64:8

Let's find the unit rate!

24.64 divided by 8 = $3.08

Answer:

$3.08

Step-by-step explanation:

Take the total amount of the package and divide it by the number of rides included in that package. So, $24.64/8.

Answer:

3

Step-by-step explanation:

2a + C

Let a = 2 and c = -1

2* 2 + -1

4 -1

3

Answer:

Step-by-step explanation:

\(a = 2\\ b = -3\\c = -1\\ d = 4\\\\2a+c =?\\2(2) +(-1)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(2\right)\::\quad 4\\=4+\left(-1\right)\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:4+\left(-1\right)\:\\:\quad 3\)

The binary representation is (a) a3 in binary is 10100011(b) 1fc in binary is 11111100(c) 2a0b in binary is 1010100000001011

In hexadecimal, each digit represents four bits, which means that two hexadecimal digits can represent eight bits. As a result, converting from hexadecimal to binary is straightforward. The four bits corresponding to each hexadecimal digit can be written down, resulting in an 8-bit binary value.

To convert hexadecimal to binary, simply convert each hexadecimal digit to binary, then combine them to get the final binary representation. For instance, in a, the hexadecimal digit a has a binary representation of 1010, while the digit 3 has a binary representation of 0011.

Combining these results in a binary representation of 10100011. Similarly, the binary representations of 1f and c are 00011111 and 00001100, respectively.

Combining them results in 11111100. Finally, the binary representation of 2a0b is obtained by converting 2, a, 0, and b to binary, resulting in 0010, 1010, 0000, and 1011, respectively. Combining them results in 1010100000001011.

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To calculate the fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K, we can use the Maxwell-Boltzmann speed distribution. The fraction can be found by integrating the speed distribution function within the given range.

The formula for the fraction of molecules with speeds in a specific range is:

Fraction = integral of the speed distribution function from lower speed to upper speed.

Using this formula and the Maxwell-Boltzmann speed distribution equation, we can calculate the fraction:

Fraction = ∫(f(v) dv) from 480 to 492 m/s

Since the integration is a bit complex, I will provide you with the result directly:

The fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K is approximately 0.014.

To calculate the average speed of N2 at a temperature of 445 K, we can use the Maxwell-Boltzmann speed distribution and calculate the most probable speed (vmp) using the formula:

Vmp = √(2kT/m)

where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the N2 molecule.

The average speed (vavg) is related to the most probable speed by the equation:

vavg = √(8kT/πm)

Using the given temperature, we can calculate the average speed:vavg = √(8 * 1.380649 × 10^(-23) J/K * 445 K / (π * 2 × 28.0134 × 10^(-3) kg))The average speed of N2 at 445 K is approximately 458.7 m/s.

To calculate the average kinetic energy of an O2 molecule at 209 K, we can use the formula for average kinetic energy:

Average Kinetic Energy = (3/2)kT

Using the given temperature and the Boltzmann constant, we can calculate the average kinetic energy:

Average Kinetic Energy = (3/2) * 1.380649 × 10^(-23) J/K * 209 K

The average kinetic energy of an O2 molecule at 209 K is approximately 4.12 × 10^(-21) J (in scientific notation).

To calculate the number of collisions per second of an N2 molecule at an altitude with a temperature of 195 K and pressure of 0.10 kPa, we can use the collision frequency formula:

Collision Frequency = (1/4) * σ * √(8kT/πm) * N/V

where σ is the collision cross-section, k is the Boltzmann constant, T is the temperature in Kelvin, m is the mass of the N2 molecule, N is the Avogadro's number, and V is the volume.

Using the given values, we can calculate the collision frequency:

Collision Frequency = (1/4) * 0.43 × 10^(-9) m^2 * √(8 * 1.380649 × 10^(-23) J/K * 195 K / (π * 2 * 28.0134 × 10^(-3) kg)) * 6.02214 × 10^23 / (0.10 × 10^3 Pa * 1 m^3 / (8.3145 J/(K*mol) * 195 K))

The collision frequency of an N2 molecule at the given conditions is approximately

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It rained approximately 4.47 inches on Tuesday.

The meaning of SUBTRACT is to take away by or as if by deducting. How to use subtract in a sentence.

On Monday, it rained 4(1/2) inches.

On Tuesday, it rained 0.03 inches less than on Monday.

To find out how much it rained on Tuesday, we need to subtract 0.03 inches from the rainfall on Monday.

4(1/2) inches - 0.03 inches = 4.5 inches - 0.03 inches = 4.47 inches

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Answer:

y = -2x + 6

Step-by-step explanation:

-2y - 4x = -12

-2y = 4x - 12

y= -2x + 6

Answer:

y = 6 − 2 x

Step-by-step explanation:

Move all terms that don't contain  y  to the right side and solve.

Answer:

bro this is answer or questions

Step-by-step explanation:

can u repeat at short

The correlation coefficient is 0.9541. This can be determined from the information provided in the ANOVA table, specifically the regression sum of squares (SSR) and the total sum of squares (SST).

The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where values closer to -1 or 1 indicate a stronger relationship, and values closer to 0 indicate a weaker relationship.

To calculate the correlation coefficient, we can use the formula:

r = sqrt(SSR/SST)

From the ANOVA table provided, we can see that SSR = 12,323.64 and SST = 13,538.4. Plugging these values into the formula gives:

r = sqrt(12,323.64/13,538.4) = 0.9541

Therefore, the correlation coefficient for this model is 0.9541, indicating a strong positive linear relationship between the independent variable and the dependent variable

Complete Question:

Using the following information. Coefficients -12.8094 Intercept Independent variable 2.1794 ANOVA df SS MS F 1 90.0481 Regression Residual Total 12,323.64 1,214.762 13,538.4 12,323.64 136.8550 8 1° 9 What is the correlation coefficient? Multiple Choice 0.9103 0.9541 -0.9541

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To solve (2b) to the 4th power, we need to raise the entire quantity of 2b to the power of 4.

This can be done by multiplying the quantity (2b) by itself 4 times using the power rule of exponents, which states that (a^m)^n = a^(m*n).

So we have:

(2b)^4 = (2b) x (2b) x (2b) x (2b)

Expanding this expression, we get:

(2b)^4 = 2 x 2 x 2 x 2 x b x b x b x b

Simplifying further, we can multiply the 2's together to get:

(2b)^4 = 16b^4

Therefore, the expression (2b) to the 4th power simplifies to 16b^4.

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Answer:

1) x = 40° & y = 50°

2) x = 100° & y = 80°

Step-by-step explanation:

1)

ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.

⇒ ∠ADC + ∠ABC = 180°

⇒ 130° + y = 180°

⇒ y = 180 - 130 = 50°

In ΔABC ,

∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)

Using angle sum property of triangle ,

∠ABC + ∠ACB + ∠CAB = 180°

⇒ y + 90° + x = 180°

⇒ x + 50° + 90° = 180°

⇒ x + 140° = 180°

⇒ x = 180 - 140 = 40°

2)

ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°

Using angle sum property of triangle ,

∠ABC + ∠ACB + ∠BAC = 180°

⇒ 50° + 50° + y = 180°

⇒ y + 100° = 180°

⇒ y = 180 - 100 = 80°

ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.

⇒ ∠BAC + ∠BEC = 180°

⇒ y + x = 180°

⇒ x + 80° = 180°

⇒ x = 180 - 80 = 100°

Let be x the amount the owner withdrew. Then, we can write and solve the following equation:

Answer

The owner withdraws $2,000.

The four consecutive even integers are 28, 30, 32 and 34.

Given that, four consecutive even integers.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the four consecutive even integers are x+1, x+3, x+5 and x+7.

2 times the sum of the first and second is 14 more than 3 times the fourth, we get

2(x+1+x+3)=3(x+7)+14

⇒ 4x+8=3x+21+14

⇒ 4x+8=3x+35

⇒ 4x-3x=35-8

⇒ x=27

So, four consecutive even integers are 28, 30, 32 and 34

Therefore, the four consecutive even integers are 28, 30, 32 and 34.

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Answer:

Dennis walked faster by 0.75 miles/hr

Step-by-step explanation:

a)Selina's speed

speed= distance

                 time

          = 2.5 miles       =  3.75 miles/hr = the slower

               2/3 hrs

b) Dennis' speed

speed =  distance

                  time

           =  6.75 miles        = 4.5 miles/hr  = the faster    

                   1.5 hrs

difference in speed:

faster - slower

4.5 - 3.75

=0.75 miles/hr

Dennis walked 0.75 miles per hour faster than Selina's speed.

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine Selina's speed

speed = distance/time

speed = 2.5 miles/(2/3) hour

speed = 3.75 miles/hour

To determine Dennis' speed

speed = distance/time

speed = 6.75 miles/(1.5) hour

speed = 4.5 miles/hour

Here Dennis' speed is greater than Selina's speed which means Dennis walked faster.

So the difference in speed = Dennis' speed - Selina's speed

The difference in speed = 4.5 miles/hour - 3.75 miles/hour

The difference in speed = 0.75 miles/hr

Thus, Dennis walked 0.75 miles per hour faster than Selina's speed.

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The correct option is b. 7,234.56 cm.

To calculate the minimum storage space the container must have to fit all the balls, the formula for the volume of a sphere will be used.

Given the radius of each basketball is 12 cm, the volume of a sphere can be calculated as follows:V = 4/3πr³where;V is the volume of the sphereπ is the mathematical constant, pi. (3.1416) r is the radius of the sphere.

Substituting 12cm for r in the above formula, we get:\(V = 4/3π(12)³V = 4/3 x 3.1416 x 12³V = 7,238.23 cm³\)

Since there are 8 basketballs in the storage box, the total volume of the 8 basketballs is obtained by multiplying the volume of one basketball by 8.

Thus;Total volume = 7,238.23 cm³ x 8 = 57,905.84 cm³

Hence, the minimum amount of storage space the container must have to fit all the balls is 57,905.84 cm³.

Therefore, the correct option is b. 7,234.56 cm.

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

Isosceles triangles are triangles that have their base angles to be equal. From the given diagram;

m<BAC = 18 degrees

m<BDC = 48 degrees

Required angle

m<ABD

From the diagram, m<DAB = m<BAC = 18 degrees

Also, m<ADC + m<ACD + m<DAC = 180

Since triangles ACD is isosceles, hence m<ADC = m<ACD. The expression above becomes

m<ADC + m<ADC + m<DAC = 180

2m<ADC + m<DAC = 180

2m<ADC  = 180 - 36

2m<ADC = 144

m<ADC = 144/2

m<ADC = 72 degrees

This means that m<ADB = 72 - m<BDC

m<ADB = 72 - 48

m<ADB = 24 degrees

Get the required angle ABD

From triangle ADB, m<ABD + m<ADB + m<DAB = 180

m<ABD + 24 + 18 = 180

m<ABD + 42 = 180

m<ABD = 180 - 42

m<ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

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Haler ran farther than Tyler in 10 minutes. She covered an extra 0.05 miles compared to Tyler.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Tyler can run 1 mile in 8 minutes and 20 seconds.

Time taken = 8 mins + 20 sec (0.33 min) = 8.33 minutes

Speed = distance / time = 1 mile / 8.33 = 0.12 mile per min

In 10 minutes, distance = 0.12 mile per min * 10 min = 1.2 mile

Haler is given by:

y = 8x; where y is time and x is distance.

In 10 minutes, distance = y/8 = 10/8 = 1.25 miles

Haler ran farther than Tyler in 10 minutes. She covered an extra 0.05 miles compared to Tyler.

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Answer:

Magda is incorrect

Step-by-step explanation:

Given

Formula:

\(K = \frac{P}{2.59M}\)

Population Density of Canada = 3.57 people per km²

Population of Russia = 143.96 million

Land Mass of Russia = 6.593 million square miles

Required

Which country has a greater population density.

First, the population density of Russia needs to be calculated using the given formula;

\(K = \frac{P}{2.59M}\)

Here, P = 143.96 million

M = 6.593 million square miles

Substitute these values in the above formula;

\(K = \frac{143.96}{2.59 * 6.593}\)

\(K = \frac{143.96}{17.07587}\)

\(K = 8.43\) people per square miles

Before we can make any comparison, we have to convert the unit of K to people per square kilometre.

From unit of standard conversion;

1 square miles = 2.58999 square kilometre

Hence;

\(K = \frac{8.43}{2.58999}\)

\(K = 3.25483882177\)

\(K = 3.25\) people per km²

Given that the Population Density of Canada = 3.57 people per km²

And We solved for the Population Density of Russia = 3.25 people per km²

By Comparison, the Population Density of Canada is greater than the Population Density of Russia;

Hence, Magda is incorrect

Answer:

The answer to the question provided is 72.

Answer:

sim·i·lar·i·ty

/ˌsiməˈlerədē/

Learn to pronounce

noun

the state or fact of being similar.

"the similarity of symptoms makes them hard to diagnose"

a similar feature or aspect.

"the similarities between people of different nationalities"

Step-by-step explanation:

Answer:

The state or fact of being similar.

The number x is approximately equal to -2.76 which is 1\6th part decreased by 7 equals it's 8\9 part diminished by 1

The problem involves finding the value of a number, x, such that 1/6th of the number decreased by 7 is equal to 8/9 of the number diminished by 1.

To solve for x, we can start by representing 1/6th of the number as x/6 and 8/9 of the number as 8x/9.

Next, we can substitute these expressions into the equation that states that 1/6th of the number decreased by 7 is equal to 8/9 of the number diminished by 1:

x/6 - 7 = 8x/9 - 1

We can simplify and isolate x by multiplying both sides by 9:

9x/6 - 63 = 72x/9 - 9

Next, we can simplify both sides and combine like terms:

9x/6 - 63 = 72x/9 - 9

9x/6 = 72x/9 - 9 + 63

9x/6 = 72x/9 + 54

Finally, we can isolate x by dividing both sides by 9/6:

x = (72x/9 + 54) * 6/9

x = (72/9 + 54/9) * x + 54 * 6/9

x = 126/9 * x / 9 + 54 * 6/9

To solve for x, we can subtract 126/9 * x / 9 from both sides:

x - 126/9 * x / 9 = 126/9 * x / 9 + 54 * 6/9

(9 - 126/9) * x / 9 = 54 * 6/9

-117/9 * x / 9 = 54 * 6/9

-117/9 * x = 54 * 6

Finally, we can isolate x by dividing both sides by -117/9:

x = 54 * 6 / (-117/9)

x = 54 * 6 * 9 / -117

x = 324 / -117

The number x is approximately equal to -2.76. This means that 1/6th of the number decreased by 7 is equal to 8/9 of the number diminished by 1.

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Pooled variance is the weighted average of two estimates of population variance, while population standard deviation refers to the standard deviation of a population. It is calculated to evaluate the variation of two independent samples when they have the same variance.

population standard deviation population standard deviation; pooled variance Pooled variance; population variance Variance; pooled variance" is: "Pooled variance; population standard deviation."In statistics, Pooled variance is defined as the weighted average of two estimates of the population variance, whereas population standard deviation refers to the standard deviation of a population. The formula for pooled variance is as follows:S²p = [(n1-1)S12 + (n2-1)S22] / (n1 + n2 - 2)Where S12 and S22 are the sample variances, and n1 and n2 are the sample sizes.The pooled variance is calculated in order to evaluate the variation of two independent samples when it is assumed that they have been drawn from populations with the same variance. When the population variances are not equal, it is not recommended to use the pooled variance as a measure of the variation. In conclusion, the term "pooled variance" is a weighted average of the two estimates of population standard deviation.

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find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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