Find the volume of the solid. PLEASE HELPPPPPPPP

The function that models the given situation is; f(x) = 109(0.935)^(t) + 72

We are given that;

Temperature of hot tea = 181°F

Room temperature = 72°F

Rate of the hot tea cooling on a desk in the room = 6.5% every minute

We know that an exponential function is of the form of;

y = A(r)^(x)

where;

A is the initial value.

r is the rate of increase/decrease in decimals.

Thus, our initial value is;

A = 181 - 72 = 109

The rate of increase/decrease in decimals = 1 - (6.5%) = 0.935

Since the room temperature is 72 degrees Fahrenheit, then the function is;

f(x) = 109(0.935)^(t) + 72

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Answer:

1st Question:  The answer is the bottom left

2nd Question: The answer is the bottom right

3rd Question: The answer is the top left

4th Question: The answer is the top right.

Step-by-step explanation:

The relationship between the length of a side and the area is non proportional.

The answer is non proportional because the side length is x,

so is the other side lengths.

The side lengths are all equal and to find area you do x squared or x times x.

So they are not proportional because there will be different numbers for each.

For example. X= 2, area ( x squared ) is 4.

Hence, The relationship between the length of a side and the area is non proportional.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

In a square, we need to find the relationship between the length of a side and the area.

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Answer: x=4.7°

Step-by-step explanation:

[tex]m\angle PQS=119^0\\\angle PQR+\angle RQS=\angle PQS\\72^0+(10x)^0=119^0\\72^0+(10x)^0-72^0=119^0-72^0\\10(x^0)=47^0\\[/tex]

Divide both parts of the equation by 10:

[tex]x=4.7^0[/tex]

Answer:

93

Step-by-step explanation:

143 —————>233 = 90

233 —————>237 = 3

90 + 3 = 93

The number of the whole numbers lying between 237 and 143 will be 94.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Zero, a consistently positive number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive values are negative in value. The set of integers is frequently represented in mathematical notation by the big bold letters Z.

The number of the whole numbers lying between 237 and 143 will be given by the subtraction of the numbers from 237 to 143. Then we have

⇒ 237 - 143

⇒ 94

The number of the whole numbers lying between 237 and 143 will be 94.

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The term in the given expression is -3x − 7(x + 4) (A) -3x.

Term:

Therefore, the term in the given expression is (A) -3x.

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The correct question is given below:
Which choice is a term in this expression? -3x − 7(x + 4)

Ordinal is the answer.

In the given statement is:
A scale that allows one to determine only if there is more, less, or an equal amount of the attribute in comparison to another observation is called a(n) ____ scale.

Ordinal Scale is the 2nd level of measurement that reports the ranking and ordering of the data without actually establishing the degree of variation between them. Ordinal level of measurement is the second of the four measurement scales. "Ordinal" indicates "Order".

Hence, The answer is Ordinal

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Step-by-step explanation:

You want to demonstrate the identity ...

  (1-tan⁴(A))·cos⁴(A) = 1 -2·sin²(A)

Working with the left side, we have ...

  [tex](1-\tan^4(A))\cos^4(A)=1-2\sin^2(A)\\\\(1-\dfrac{\sin^4(A)}{\cos^4(A)})\cos^4(A)=1-2\sin^2(A)\qquad\text{use tangent identity}\\\\\cos^4(A)-\sin^4(A)=1-2\sin^2(A)\qquad\text{multiply it out}\\\\(\cos^2(A) +\sin^2(A))(\cos^2(A)-\sin^2(A))=1-2\sin^2(A)\qquad\text{factor}\\\\1((1-\sin^2(A))-\sin^2(A)) = 1-2\sin^2(A)\qquad\text{use $\cos^2$ identity}\\\\1-2\sin^2(A)=1-2\sin^2(A)\qquad\text{Q.E.D.}[/tex]

__

Additional comment

The referenced identities are ...

  tan = sin/cos

  cos² = 1 -sin²

and the factorization of the difference of squares:

  a² -b² = (a +b)(a -b).

Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula

Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.

Variance = Summation n to i = 1 [tex]\frac{(X_{1-X} )^2}{n-1}[/tex]

        0 = Summation n to i = 1[tex]\frac{(X_{1-X} )^2}{n-1}[/tex]

                Summation n to i [tex]{(X_{1-X} )^2[/tex] = 0

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The perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

We are given the vertices:

A(-4,4), B(2,-2), and C(-4,-2).

We need to find the perimeter of ABC.

AB = √ ( 2 + 4)² + (-2 - 4)²

AB = √ 6² + 6²

AB = √72

AB = 6 √2 units

BC = √ (-4 - 2)² + ( -2 + 2)²

BC = √ 6²

BC = 6 units

AC = √ ( -4 + 4)² + (-2 - 4)²

AC = √ 6²

AC = 6 units.

Perimeter = AB + BC + AC

Perimeter = 6 √2 + 6 + 6 units

Perimeter = 12 + 6 √2 units.

Perimeter = 12 + 6(1.414) units

Perimeter = 12 + 8.848 units

Perimeter = 20.848 units

Therefore, the perimeter of ABC with vertices A(-4,4), B(2,-2), and C(-4,-2) is 20.848 units.

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One year on Venus is 225 days on Earth.

Multiply that by 9 1/2.
The answer you get is 2137.5

9 1/2 years on Venus years is equivalent to 2137.5 days on Earth.

There are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Equivalent to 9 1/2 years on venus.

Let the number of days on earth is x:

One year on Venus is 225 days on Earth.

= (225)(9 1/2)

= (225x19)/2

= 2137.5 days

Thus, there are  9 1/2 years on Venus years is equivalent to 2137.5 days on Earth, the answer would be 2137.5 days.

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Answer:

Here in the picture is the prime factorisation of 13824

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your question is wrong to make sure

In 25.76 seconds we will fill the total volume of the cylinder.

The total volume of the cylinder is given by the equation:

V = pi*R^2*H

Where pi = 3.14, R is the radius and H is the height.

Here we know that the diameter is 6 inches, then the radius is:

R= 6in/2 = 3in

And the height is 8 inches, then the volume is:

V = 3.14*(3in)^2*8in = 226.08 in^3

We already have 20 cubic inches of water there, so what we need to fill is:

226.08 in^3 - 20in^3 = 206.08in^3

If we fill it at a rate of 8in^3/s, the time in which we will completely fill the cylinder is:

T = 206.08in^3/8in^3/s = 25.76s

In 25.76 seconds we will fill the total volume of the cylinder.

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Answer:

-15w+9y+6

Step-by-step explanation:

I think that you are asking to simplify the expression.  An equation has an equal sign and I do not see one.

We need to distribute the -3 to everything inside of the parentheses.  

A negative times a negative is a positive.

A negative times a positive is a negative.

-3(5w-3y-2)

-3(5w) -3(-3y) -3(-2)

-15w + 9y + 6

Hi!

To simplify this, use the Distributive Property:

Now, let's simplify the given expression:

[tex]\dashrightarrow\sf{-3(5w-2y-2)}[/tex]

Like the property said, We should distribute -3 so that it's multiplied by each term:

[tex]\bullet\dashrightarrow\sf{-15w+9y+6}[/tex]

Therefore,

[tex]\bullet\dashrightarrow\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{-15w+9y+6}}}}}\dashleftarrow\bullet[/tex]

- stargazing :')

Answer: 18

Step-by-step Explanation:

Subtract: 5 from 41 | 41-5= 36

Divide: by 2 | 36/2= 18

Answer:18

Step-by-step explanation:

SUBTRACT41 FROM 5

THAT GIVES YOU 38

THEN DIVIDE 38/2 AND IT WILL GIVES 18

The correct option is A) The 99% confidence interval ranges from 53.73 to 56.27 hours.

The 99% confidence interval for the mean hours devoted to social networking in January ranges from 53.73 to 56.27 hours.

In statistics, a confidence interval denotes the likelihood that a population parameter would then fall between two specified values.

sample size 'n' =200

Mean 'x'  = 55 hours

Standard deviation (Population) = 7 hours

For 99% confidence level

Z critical value = 2.58

Margin of error = ±2.58(std error)

Now, compute the standard error

Standard error = 7/√n

              =7/√200

               = 0.495

Thus, margin of error = ±0.495(258) = 1.28

Now, calculate the Confidence interval;

Confidence interval = (55 - 1.28, 55 + 1.28)

                                  = (53.72, 56.28)

Confidence interval = (53.73, 56.27) [approx.]

Therefore, the confidence level lies between 53.73, 56.27) [approx.]

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The correct question is-

In a sample of 200 households, the mean number of hours spent on social networking sites during the month of January was 55 hours. In a much larger study, the standard deviation was determined to be 7 hours. Assume the population standard deviation is the same. What is the 99% confidence interval for the mean hours devoted to social networking in January?

A) The 99% confidence interval ranges from 53.73 to 56.27 hours.

B) The 99% confidence interval ranges from 7 to 55 hours.

C) The 99% confidence interval ranges from 54.51 to 55.49 hours.

D) The 99% confidence interval ranges from 55 to 60 hours.

Answer:

30 yards

Step-by-step explanation:

9+9+6+6=30yards

Answer: 182

Step-by-step explanation:

The number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.

It should be noted that an equation is simply used in Mathematics to show the relationship the exist between different variables.

Let the number of weeks be represented by w.

Therefore, based on the information, the appropriate equation will be:

99 + (4 × w) = 195

99 + 4w = 195

4w = 195 - 99

4w = 96

Divide

w = 96/4

w = 24

Therefore, based on the calculation illustrated above, the number of weeks that it will take Jason to have coins from all 195 countries is 24 weeks.

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Answer:

1) 1/2 × 3/5 = 45/150

2) 5/5 × 3/5 = 90/150

3) 2 2/3 × 3/5 = 1 90/150

Explanation below

Explanation belowHope this helps :)

Step-by-step explanation:

1/2 × 3/5 = 3/10

2 2/3 × 3/5 = 8/3 × 3/5 = 24/15

5/5 × 3/5 = 15/25

We need to find the Least Common Multiple (LCM) to order them from least to greatest.

The LCM is 150.

3/10 = 45/150

24/15 = 1 9/15 = 1 90/150

15/25 = 90/150

So the order from least to greatest is ...

1) 1/2 × 3/5 = 45/150

2) 5/5 × 3/5 = 90/150

3) 2 2/3 × 3/5 = 1 90/150

Answer:

Step-by-step explanation:

7(i)

[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=\frac{dx}{dx} *(3x-5)^\frac{5}{3}+x*\frac{d}{dx} \{(3x-5)^\frac{5}{3} \}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=1*(3x-5)^\frac{5}{3} +x*\frac{5}{3}*(3x-5)^{\frac{5}{3} -1}*\frac{d}{dx} \{(3x-5)\}\\\\ \frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +\frac{x*5*(3x-5)^{\frac{2}{3}}*3 }{3} \\\\\frac{d}{dx}\{x*(3x-5)^\frac{5}{3} \}=(3x-5)^\frac{5}{3} +5x*(3x-5)^\frac{2}{3} \\\\[/tex]

[tex]\displaystyle\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3}*((3x-5)^{\frac{5}{3}-\frac{2}{3}} + 5x)\\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5)^\frac{3}{3}+5x) \\\\\frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(3x-5)^\frac{2}{3} *(3x-5+5x)\\\ \frac{d}{dx}\{x*(3x-5)^\frac{2}{3} \}=(8x-5)*(3x-5)^\frac{2}{3}[/tex]

7(ii)

[tex]\int\limits {(x*(3x-5)^\frac{2}{3}) } \, dx \\Let\ \sqrt[3]{3x-5} =u\\Hence,\\(\sqrt[3]{3x-5})^3=u^3\\ 3x-5=u^3\\3x-5+5=u^3+5\\3x=u^3+5\\[/tex]

Divide both parts of the equation by 3:

[tex]\displaystyle\\x=\frac{u^3+5}{3}\\\\dx=\frac{d}{du} \{\frac{u^3+5}{3}\} \\dx=\frac{3u^2}{3} du=\\\\dx=u^2du\\Hence,\\\\\int\limits {\frac{u^3+5}{3}* u^2*u^2} \, du =\\\\\int\limits {\frac{u^3+5}{3} *u^4} \, du =\\\\\int\limits {\frac{u^7+5u^4}{3} } \, du =\\\\\frac{1}{3} \int\limits {u^7} \, du +\frac{1}{3}\int\limits {5u^4} \, dxu =\\\\[/tex]

Answer:

-6r+5

Step-by-step explanation:

Combining the like terms

⇒-4r-2r+5

⇒-6r+5

Answer:

11

Step-by-step explanation:

Plug 4 into the x, 6(4) = 24

24 - 13 = 11

The events A and B are not independent.

Given that,

                  P(A|B) = 0.4

                  P(A) = 0.5

                  P(B) = 0.8

Two events A and B are said to be independent, if P(A∩B) = P(A) P(B)

We have, P(A|B) = P(A∩B)/P(B)

Therefore, P(A∩B) = P(A|B) P(B) = 0.4 x 0.8 = 0.32

Now P(A) P(B) = 0.5 x 0.8 = 0.4

So P(A∩B) ≠ P(A)P(B)

Therefore, the events A and B are not independent.

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Step-by-step explanation:

please make sure that fractions are still in the problem text after scanning it.

because they are missing here, and I have to guess around.

Basically the problem is

x + 1/a × x = 15

that means

ax + x = 15a

(a+1)x = 15a

x = 15a/(a+1)

for a = 2 (so, 1/2 x is added to x), we get

x = 15×2/3 = 30/3 = 10

for a = 4 (1/4 of x is added to x), we get

x = 15×4/5 = 60/5 = 12

these are also the first 2 answer options. so, please pick the one that fits the complete problem definition.

the 3rd and 4th answer options are nonsense anyway, as when you add something greater than 0 to x and get 15, then the initial x cannot be already 15 or even bigger.

A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160feett/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

Given that 1)A gull can fly at a speed of 22 miles per hour and asked to convert its units to  foot/hour

2)An AMTRAK train travels at 125 miles per hour and is asked to convert its units to  miles/minute

1 mile=5280 feet

22 miles/hour=22 × 5280 foot/hour

22 miles/hour=116,160 foot/hour

1 hour=60 minute

125 miles/hour= 125/60 miles/minutes

125 miles/hour= 2.083 miles/minutes≈ 2.1miles/minutes

Therefore, A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160 feet/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

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Answer:

Step-by-step explanation:

no solution

The fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.

Given two fractions are there 1/8 and 3/4?

We have to calculate those fractions into decimal form as below.

1/8                                                              3/4

= 8) 10 (0.125                                      = 4) 30 (0.75

        8                                                         28

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

        20                                                          20

         16                                                          20

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

           40                                                         0

            40

      ---------------

              0

Therefore, the fraction 1/8 in decimal form is 0.125, and the fraction 3/4 in decimal form is 0.75.

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The question is incomplete. Please find the complete question below:

Write the decimal equivalents of these two fractions: 1/8 and 3/4

The decimal equivalent of 1/8 is 1.25, 0.125, or 0.0125, and the decimal equivalent of 3/4 is 7.5, 0.75, or 0.075