the radius of a cylindrical water tank is 4.5 ft, and its height is 60. What is the volume of the tank? Using the volume 3.14 for it and round your answer to the nearest whole number be sure to include the correct unit for the answer

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

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(a)Contrapositive: If an object does not have a border, then it is not red.

Converse: If an object has a border, then it is red.

Inverse: If an object is not red, then it does not have a border.

(b)Contrapositive: If an object is not red or does not have a border, then it is not a rectangle.

Converse: If an object is a rectangle, then it is red and has a border.

Inverse: If an object is not red or does not have a border, then it is not a rectangle.

(c)Contrapositive: If an object does not have a border, then it is not red or blue.

Converse: If an object is red or blue, then it has a border.

Inverse: If an object does not have a border, then it is not red or blue.

a) Original Conditional Statement (P - Q): If an object is red, then it has a border.

Contrapositive (not Q - not P): If an object does not have a border, then it is not red.

Converse (Q - P) If an object has a border then it is red.

Inverse (not p → not q) If an object is not red then it does not have a border.

The contrapositive is true, while the converse and inverse are false. For example, object H may have a border but not be red.

b) Original Conditional Statement (P - Q): If an object is a rectangle, then it is red and has a border.

Contrapositive (not Q - not P): If an object is not red and does not have a border, then it is not a rectangle.

Converse (Q - P) If an object is red and has a border, then it is a rectangle.

Inverse (not p → not q) If an object is not a rectangle then it is not red or does not have a border.

The contrapositive is true, while the converse and inverse are false. For example, object H may be red and have a border but not be a rectangle.

c) Original Conditional Statement (P - Q): If an object is red or blue, then it has a border.

Contrapositive (not Q - not P): If an object does not have a border, then it is not red or blue.

Converse (Q - P) If an object has a border then it is red or blue.

Inverse (not p → not q) If an object is not red or blue then it does not have a border.

The contrapositive and converse are true, while the inverse is false. For example, object H may have a border but not be red or blue.

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Answer:

It is either 4 or 9.

Step-by-step explanation:

because you have to subtract or divide

Answer:

\(a_{n}\) = \((-\frac{2}{3}) ^{n-1}\)

Step-by-step explanation:

The sequence has a common ratio between consecutive terms , that is

r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{a_{3} }{a_{2} }\) = \(\frac{a_{4} }{a_{3} }\) = - \(\frac{2}{3}\)

This indicates the sequence is geometric with nth term

\(a_{n}\) = a₁ \((r)^{n-1}\)

where a₁ is the first term

Here a₁ = 1 and r = - \(\frac{2}{3}\) , then

\(a_{n}\) = 1 \((-\frac{2}{3}) ^{n-1}\) = \((-\frac{2}{3}) ^{n-1}\)

Answer:

a = -3

Step-by-step explanation:

3a - 6a + 2 = 8a + 20 - 5a

Combine Like Terms

-3a + 2 = 3a + 20

       -2            -2

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

-3a = 3a + 18

-3a  -3a

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

-6a = 18

----   ----

-6     -6

a  =  -3

The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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There were 8 children in the classroom, and the initial guess of 7 children was incorrect.

Let's assume there were 7 children in the classroom. Since each child has one head and two legs, the number of heads would still be 7, and the number of legs would be 7 x 2 = 14.

Now we need to find out how many dogs there are. The total number of heads in the classroom is 14, so the number of dogs is 14 - 7 = 7. Each dog has one head and four legs, so the number of legs from the dogs is 7 x 4 = 28.

The total number of legs in the classroom is 40, so the total number of legs from the children and dogs is 14 + 28 = 42. Since there are only 40 legs, our initial assumption was incorrect.

To find the correct number of children in the classroom, we need to use algebra. Let c be the number of children, and let d be the number of dogs. We know that c + d = 14 and 2c + 4d = 40. We can solve for c by substituting the first equation into the second equation and simplifying:

2c + 4(14 - c) = 40

2c + 56 - 4c = 40

-2c = -16

c = 8

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Answer:

z = 99

Step-by-step explanation:

\(\frac{z}{9}\) + 4 = 15 ( subtract 4 from both sides )

\(\frac{z}{9}\) = 11 ( multiply both sides by 9 to clear the fraction )

z = 99

Answer:

I do know Part B. No, Renees mom does not have enough, since 4 ounces per day, isn't enough coffee. Hope this helped!

Step-by-step explanation:

The values of the constants m and c include the following:

m = -1.3

c = 7.1

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Since the point P(-7, 2) is mapped onto P' (3, -11) by the reflection y = mx + c, we can write the following system of equations;

2 = -7m + c    ...equation 1.

-11 = 3m + c    ...equation 2.

By solving the system of equations simultaneously, we have:

2 = -7m - 3m - 11

11 + 2 = -10m

13 = -10m

m = -1.3

c = 7m + 2

c = 7(-1.3) + 2

c = -7.1

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Answer:2

Step-by-step explanation: 15x5=75

75/26=2.886

Answer:

6

Step-by-step explanation:

hope this helps

Answer:

No, it cannot be factored.

Step-by-step explanation:

Answer:

3/10 or 0.3

Step-by-step explanation:

3 times 1 and you'll get 3 over 10, or in decimal it will be 0.3

Answer:

ok

Step-by-step explanation:

Answer:

If the population what?

Step-by-step explanation:

The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Answer:

A sample size greater than 25

Step-by-step explanation:

Margin of error of a confidence interval:

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which z is related to the confidence level(higher confidence level means higher z) \(\sigma\) is the standard deviation of the population and n is the size of the sample.

The higher the margin of error, the wider the interval is.

To have a narrower interval:

For a narrower interval, the margin of error has to be diminished. This can be achieved reducing the confidence level, or increasing the sample size.

In this question:

There are no options that say reducing the confidence level, so we should increase the sample size, that is, a sample size greater than 25.

Answer:

A

Step-by-step explanation:

x = √a/√b

x² = √a²/√b²

x² = a/b

Answer:

Hi there

it should be A.

good

Step-by-step explanation:

If I interpret the diagram correctly, the two angles are equal and they sum to 180° ....so they are each 90°

then the arc is 90°

x+93 = 90°

x = - 3  °

The correct solution of Laurie's inequality expression is y ≥ 2x - 4

Laurie's inequality expression is given as

y > 2x - 4

The graph of the inequality expression that completes this question is added as an attachment

From the attached graph, we can see that the line of the inequality is a thick or closed line

Thick and closed line are represented by the inequality signs ≤ and ≥

Since the upper region is shaded, we make use of ≥ inequality sign

Hence, the correct solution of Laurie's inequality expression is y ≥ 2x - 4

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Answer:

The average airspeed of the two planes is \(406.25\; \rm mph\).

Step-by-step explanation:

Let \(x\) denotes the average airspeed (in miles-per-hour) of the two planes. Let \(y\) denote the average speed of wind (also in miles-per-hour) along that route.

John is travelling against the head wind. Therefore, his ground speed would be the difference between his airspeed and the speed of the wind. That is:

\(\begin{aligned} & v(\text{John, ground speed})\\ =& v(\text{John, airspeed}) - v(\text{wind speed}) \\=& x - y\end{aligned}\).

On the other hand, Debby is travelling in the tail wind. Assume that Debby and John are taking the same route but in the opposite directions. The ground speed of Debby would be the sum of her airspeed and the speed of the wind:

\(\begin{aligned} & v(\text{Debby, ground speed})\\ =& v(\text{Debby, airspeed}) + v(\text{wind speed}) \\=& x + y\end{aligned}\).

Keep in mind that:

\(\text{Distance Traveled} = \text{Average Speed} \times \text{Time}\).

This equation can help relate time and ground speed to distance.

John traveled \(2100\) miles in \(5.6\) hours at a ground speed of \((x - y) \; \rm mph\). Therefore:

\(5.6\; (x - y) = 2100\).

Similarly, Debby traveled \(2100\) miles in \(4.8\) hours at a ground speed of \((x + y)\; \rm mph\). Therefore:

\(4.8\; (x + y) = 2100\).

Combine these two equations to obtain:

\(\left\lbrace\begin{aligned}& 5.6\; (x - y) = 2100 \\ & 4.8\; (x + y) = 2100\end{aligned}\right.\).

Solve this system of equations for \(x\) and \(y\):

\(\left\lbrace\begin{aligned}&x = 406.25 \\ &y = 31.25\end{aligned}\right.\).

In other words:

The coordinates of the reflected figures are C'(-2,-4), D'(1,-5), and E'(1, -2)

Given that we have the figure of the vertices CDE

With the coordinates C(-2,4), D (1,5), and E(1, 2)

The transformation is given as

Reflection over the x-axis

The rule of this transformation is

(x, y) = (x, -y)

So, we have

Image = C'(-2,-4), D'(1,-5), and E'(1, -2)

Recall that

the rule of this transformation is (x, y) = (x, -y)

This means that the x-coordinate remains unchanged while the y-coordinate is negated as a result of this reflection.

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Answer:

Given: ratio of boy to girl campers

8:7

8+7=15

195÷15=13

8×13 = number of boy campers

= 104 boys

so there are 104 boy campers

and if you were to work out the girls, you do 7 multiplied by 13, which is 91

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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Answer:

<

Step-by-step explanation:

1) Substitute 5 into the question

2) Work out the sides

3) Put it into an inequality

5 < 7

Hope this helps, have a great day!

Using the Poisson distribution, we have that:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

For this problem, the mean is given as follows:

\(\mu = 13\)

The probability of having exactly 10 days of precipitation in the month of April is P(X = 10), hence:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 10) = \frac{e^{-13}13^{10}}{(10)!} = 0.0859\)

There is a 0.0859 = 8.59% probability of having exactly 10 days of precipitation in the month of April.

The probability of having less than three days of precipitation in the month of April is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

\(P(X = 0) = \frac{e^{-13}13^{0}}{(0)!} \ approx 0\)

\(P(X = 1) = \frac{e^{-13}13^{1}}{(1)!} = 0.00003\)

\(P(X = 2) = \frac{e^{-13}13^{2}}{(2)!} = 0.00019\)

Then:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.00003 + 0.00019 = 0.00022

There is a 0.00022 = 0.022% probability of having less than three days of precipitation in the month of April.

For more than 15 days, the probability is:

P(X > 15) = P(X = 16) + P(X = 17) + ... + P(X = 20)

Applying the formula for each of these values and adding them, we have that P(X > 15) = 0.2364, hence:

There is a 0.2364 = 23.64% probability of having more than 15 days of precipitation in the month of April.

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She will need to pay 1068.75 dollar.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time peroid.

Simple Interest = (Principal × Rate × Time) / 100

Given that Gabriella borrowed $3,600 to finance a large-screen television at a rate of 6.25% for 4.75 years.

Amount = $3,600

Rate = 6.25%

Time =  4.75  years

Therefore, Simple Interest = (Principal × Rate × Time) / 100

Simple Interest = 3,600× 6.25% × 4.75

Simple Interest = 3,600× 6.25/100 × 4.75

Simple Interest = 1068.75

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Answer:

$1,068.75

Step-by-step explanation:

$3,600 x 0.0625 x 4.75 = $1,068.75