A cone is of radius 6 cm and its height is 10 cm . The volume of the cone is __________ π cm3


please help
20 pointss

\(\mathrm{Inverse\:of}\:x^7+3:\quad \sqrt[7]{x-3}\)

Answer:

To find the area of the larger triangle in part a), we can use the equation for the area of a triangle, which is A = (1/2)bh. Since the height of the larger triangle is 21 cm and the height of the smaller triangles is 3 cm, we can say that the height of the larger triangle is 7 times greater than the height of the smaller triangles. This means that the base of the larger triangle is also 7 times greater than the base of the smaller triangles.

Since the area of a triangle is directly proportional to the product of its base and height, the area of the larger triangle is 7 times greater than the area of the smaller triangles. Since the area of the smaller triangles is 4.8 cm², the area of the larger triangle is 7 * 4.8 = <<7*4.8=33.6>>33.6 cm².

For part b), we can use a similar method to find the number of smaller triangles used to form the larger triangle. Since the perimeter of the larger triangle is 32 times greater than the perimeter of the smaller triangles, the sides of the larger triangle are also 8 times greater than the sides of the smaller triangles. This means that the number of sides of the larger triangle is also 8 times greater than the number of sides of the smaller triangles.

Since the number of sides of a triangle is directly proportional to the number of triangles used to form it, the number of smaller triangles used to form the larger triangle is 8 times the number of smaller triangles used to form the smaller triangles. Since we don't know how many smaller triangles were used to form the smaller triangles, we can't determine the exact number of smaller triangles used to form the larger triangle. However, we can say that it is at least 8.

Answer:

.15¢

Step-by-step explanation:

1.20$ total divided by 8 and its .15¢

The implicit solution to the given differential equation Dx/dt = 4x² + (9t/√(6²+x²)) / (4tx) using the method for solving homogeneous equations is F(t,x) = C, where C is an arbitrary constant.

To solve the given differential equation, we can separate the variables and integrate both sides. Rearranging the equation, we have:

(4tx) Dx = (4x² + (9t/√(6²+x²))) dt. Next, we integrate both sides. Integrating the left side with respect to x and the right side with respect to t, we get:

∫(4tx) Dx = ∫(4x² + (9t/√(6²+x²))) dt. Integrating both sides will result in a function F(t,x) on the left side and the integral on the right side. Since we are looking for an implicit solution in the form F(t,x) = C, we can write the equation as:

F(t,x) = C. cccThis represents the general solution to the given differential equation, where C is an arbitrary constant. The specific form of the function F(t,x) will depend on the integration process and the initial conditions, if provided.

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A 90% confidence interval for the difference in means of two populations with sample sizes of 32 and 43, respectively, can be constructed using the formula \($CI = (\bar{x}_1 - \bar{x}2) \pm t{\alpha/2} * SE$\), where \($SE = \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}$\) and \($t_{\alpha/2} = \pm 1.695$\).

To construct a confidence interval for the difference in means of two populations, we can use the formula:

\($CI = (\bar{x}_1 - \bar{x}2) \pm t{\alpha/2} * SE$\)

where:

\($\bar{x}_1$\) and \($\bar{x}_2$\) are the sample means for populations X and Y, respectively

tα/2 is the critical value of the t-distribution with degrees of freedom (df) equal to the smaller of \((n_1 - 1)\) and \((n_2 - 1)\) and α/2 as the level of significance

SE is the standard error of the difference in means, which is calculated as follows:

\($SE = \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}$\)

Given that a random sample of size 32 is selected from population X, and a random sample of size 43 is selected from population Y, we can compute the sample means and standard deviations:

Sample mean for population X: \($\bar{x}_1$\)

Sample mean for population Y: \($\bar{x}_2$\)

Sample standard deviation for population X: \(s_1\)

Sample standard deviation for population Y: \(s_2\)

Sample size for population X: \(n_1\) = 32

Sample size for population Y: \(n_2\) = 43

Assuming a 90% level of confidence, we can find the critical value of the t-distribution with \($df = \min(n_1-1, n_2-1) = \min(31, 42) = 31$\). We can use a t-distribution table or software to find the value of tα/2 = t0.05/2 = ±1.695.

Next, we can compute the standard error of the difference in means using the formula \($SE = \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}$\)

Once we have computed the standard error and the critical value, we can construct the confidence interval:

\($CI = (\bar{x}_1 - \bar{x}2) \pm t{\alpha/2} * SE$\)

This confidence interval will give us an estimate of the true difference in means of the two populations, with 90% confidence that the true difference falls within the interval.

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Answer:

No of these answers has a slope of  \(\frac{-3}{5}\) . My guess is B becasue its close to \(\frac{-3}{5}\) unless the 5 is supposed to be negative

Step-by-step explanation:

You have to use the slope formula \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

(\(x_{1}\),\(y_{1}\)), (\(x_{2}\),\(y_{2}\))

(4, 0), (-2, 10)   \(\frac{10 - 0 }{-2 - 4 }= \frac{10}{6}\) you have to simplfy, the answer will be \(\frac{5}{3}\)

(10, -2), (0, 4)  \(\frac{4 - -2 }{0- 10 }= \frac{6}{-10}\) you have to simplfy, the answer will be \(\frac{3}{-5}\)

 (4, 2), (10, 4)  \(\frac{4 - 2 }{10 - 4 }= \frac{2}{6}\) you have to simplfy, the answer will be \(\frac{1}{3}\)

 (-4, -10),(0, -2) \(\frac{{-2- -10} }{0 - -4 }= \frac{8}{4}\) you have to simplfy, the answer will be \(\frac{2}{1} =2\)

Answer:

complementary means that their measures add up to 90 degrees. since they're also congruent, they have to be the same measure.

90/2= 45 degrees which is your answer

Step-by-step explanation:

I hope this helps :)

Answer:

45 degrees

Step-by-step explanation:

i just took the test on edge

You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

Monetary unit sampling (MUS) refers to a statistical sampling method utilized to determine if the account balances or monetary amounts in a population contain any misstatements in an account of transaction. Auditors use monetary unit sampling, which is also known as probability-proportional-to-size sampling or dollar-unit sampling, to establish the accuracy of financial accounts. With monetary unit sampling, each dollar in a transaction is a separate sampling unit. When an auditor uses monetary-unit sampling to examine the total value of invoices, each invoice has a probability proportional to its monetary value of being selected.

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Answer:

(-8,-71)

Step-by-step explanation:

I assume by turning point it means the vertex:

\(y=x^2+16x-7\\y+71=x^2+16x-7+71\\y+71=x^2+16x+64\\y+71=(x+8)^2\\y=(x+8)^2-71\)

Now that we converted our equation to vertex form \(y=(x+h)^2+k\), we can see our vertex, or turning point, is (h,k)=(-8,-71)

When you develop an argument with a major premise, a minor premise, and a conclusion, you are using deductive reasoning. When constructing an argument using deductive reasoning, three components are involved: a major premise, a minor premise, and a conclusion.

Deductive reasoning is a logical process where the conclusion is derived from the major and minor premises. The major premise is a general statement or principle that establishes a broad context or rule.

The minor premise is a specific statement or evidence that relates to the major premise. Finally, the conclusion is the logical inference or outcome that follows from the combination of the major and minor premises.

Deductive reasoning allows for the logical progression from general principles to specific conclusions, making it a valuable tool in fields such as mathematics, logic, and philosophy.

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Answer:

5^-1, 0.5, 5^0

Step-by-step explanation:

Convert all numbers so that they have the same format.

5^-1 = 0.2

5^0 = 1

Compare:

0.2 < 0.5 < 1

This would be the order of size starting with the smallest.

Make sure you use the numbers in the problem and not the ones that were simplified.

As a point estimator for, we utilise x-bar (sample mean) (mu, population mean)

The average value in mathematics is the middle number, which is calculated by dividing the total number of numbers by the sum of all the numbers. A set of data's average is calculated by adding up all the values and dividing the result by the total number of values.

We use the x-bar (sample mean) as a point estimator for (mu, population mean). As long as the sample is random, this estimator's impartial long-run distribution is centred at (mu).

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Complete question -

Answer:

3a) 110mm squared  3b) 800in squared

Step-by-step explanation:

3a) A=lw   A=5x6   A=30   30x3=90

     A=1/2xbxh   A=1/2x5x4   A=2x5   A=10   10x2=20

     90+20=110mm squared

3b) A=lw   A=16x16   A=256

     A=1/2xbxh   A=1/2x16x17   A=8x17   A=136   136x4=544

     256+544=800in squared

The area after 15 years is 517.40km²

It is the quantity that expresses the content of the region on the plane or on a curved surface. Area is the size of the surface that can be calculated. It is the amount of space occupied by a two-dimensional figure. It is the quantity that measures the unit of squares. We get the area of the rectangle by multiplying length and width. The area of the figure is counted by the area of unit squares. It determines the area of the number of common shapes, including rectangle, trapezoid, circle, sector, ellipse etc.

y = A(1 - r)t

where,

A = initial area

r = rate

y = 1600(1 - 0.0725)

y = 1600\((0.9275)^{t}\)

here we put t=15, then we get

y=1600\((0.9275)^{15}\)

y=517.40 km²

Therefore, the area after 15 years is 517.40km²

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"https://www.wyzant.com/resources/answers/224267/a_certain_forest_covers_an_area_of_1600_km2_suppose_that_each_year_this_area_decreases_by_7_25_what_will_the_area_be_after_15_years"

Answer:

irrational irrational rational irrational rational

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

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Answer: It's more likely it's a Tuesday

========================================================

Explanation:

The odds of it being a Tuesday is 1/7 since there's 1 day of the week that's Tuesday out of 7 total.

The odds of it being January is 1/12 because we have 1 month we want out of 12 total.

Now the question is: which fraction is larger?

For now, assume they are equal. We'll cross multiply like so

1/7 = 1/12

1*12 = 7*1

12 = 7

We get a false statement at the end, but we can fix things by replacing the equal sign with a greater than sign to get this new set of steps

1/7 > 1/12

1*12 > 7*1

12 > 7

which leads us to a true statement. Therefore, 1/7 is the larger fraction and the more likely event.

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

Alternatively, you can use your calculator to find that:

Then for each decimal, move the decimal point 3 spots to the right. The values 0.143 and 0.083 become 143 and 83 respectively. We can see that 143 is larger, which means 0.143 is larger, and lastly 1/7 is larger. Think of it like a chain.

Answer:

4

Step-by-step explanation:

4 x .25 = 1

Answer:

its 4

Step-by-step explanation:

1÷4×100

=25%

(1×100)÷25

=4

The probability of the result is 11/21.

A combination is a selection of all or a portion of a group of items, regardless of the sequence in which the items are chosen.

Ray has 4 even numbered cards and 5 odd numbered card.

Ray takes at random three of these cards.

Let, all the three cards are even numbered card.

So, the sum of even numbers is even.

Suppose, two cards are odd numbered and one card is even numbered.

And the combination of 2 odd numbered card and one even numbered card is even.

Now, the possible outcomes;

= {C³₄ + C¹₄C²₅} / C³₄

In order to solve the combination:

Simplify,

{C³₄ + C¹₄C²₅} / C³₄

= [ 3! / {4! x (4-3)!} + 1!/{4! x (4-1)!} x 2!/{5! x (5-2)!} ] / [3! / 4!x (4-3)!]

= 11/21

Therefore, the probability is 11/21.

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Since the provided equation is inconsistent, it cannot intersect.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

we can see that the second set of equation,

4x+2y=12

20x+10y=30

4/20=2/10≠12/30

1/5=1/5≠2/5

The given equation is inconsistent so it does not intersect.

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The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is \((p)^3.\)

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

\((p)^3\)= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

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Answer: Uhh

Step-by-step explanation:

Answer: a=16+c

Step-by-step explanation:

if b= c+4 then we can substitute c+4 into the equation a=b+12 so a= (c+4)+12 simplified a= c+16

Answer: The answer would be 745.5 yd.

Each lap is 250 yd, and Jasmine plans on running 3 laps, so 3*250 = 750 yd.

The answer is 745.5 yd, which is the closest to 750 yd.

Step-by-step explanation:

Therefore, the formula for converting 35 liters to milliliters is 35000, with a conversion factor of 1000.

This is further explained below.

Generally,  The amount that is supplied in liters must be multiplied by 1000 in order to be converted to milliliters.

A conversion factor is a number that may be multiplied or divided to shift the units of measurement used for one set to another.

In situations when a conversion is required, the correct conversion factor that results in the same value must be used. For the purpose of converting inches to feet, for instance, the correct value for the conversion is 12 inches equaling 1 foot.

In conclusion, Therefore 35 liters to milliliters is given as 35000, conversion factor of 1000

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Answer:

1000ml and 1 liter

Step-by-step explanation:

Answer:

(12x9)+(9x50)= 112.50

Step-by-step explanation:

100 is the total

12.50 find what you can multiply for closest answer to 100

so 12.50 x 9 which is 108

but dont forget the 50cents so she has

$112.50

I think its right if you get it wrong sorry