Find the value of x. 120
​

Formular for total surface area of a cylinder

S = 1231.5 sq ft

Answer:114.9m^3

Step-by-step explanation:

Answer:

easy thr slope is 8 type it

Answer:

As we get older we use math in everyday life. the answer is 1/6

Step-by-step explanation:

Answer:

Gabby received 9 brown marbles.

Step-by-step explanation:

Answer:

2 x 4 x 8 = 64

Step-by-step explanation:

Multiply all given lengths when finding the volume of a rectangular prism.

Answer:

One possible expression that meets the given requirements is:

(2x)/(x+1) = (2x/[(x-2)(x-3)]) / ([(x+1)/(x-2)(x-3)])

This expression simplifies to 2x/(x+1) when x is not equal to -1, 0, 2, or 3, as required.

Explanation: We can rewrite 2x/(x+1) as (2x/(x-2)(x-3)) * ((x-2)(x-3)/(x+1)). The first term in this expression is a division of two rational expressions, while the second term is a multiplication of two rational expressions. Then, we can simplify the first term by cancelling the (x-2)(x-3) terms in the numerator and denominator, which gives 2x/[(x-2)(x-3)]. We can also simplify the second term by expanding the denominator, which gives (x-2)(x-3)/(x-2)(x-3)(x+1) = 1/[(x-2)(x-3)] * 1/(x+1). Then, we can combine the two simplified terms to get the expression given above.

Step-by-step explanation:

Answer:

nonlinear

Step-by-step explanation:

It isn't a straight line

Answer:

-9 and 9

Step-by-step explanation:

|-9| = 9

|9| =  9

Only -9 and 9 can have an absolute value of 9

Answer: \(5(3)^{n-1}\)

Step-by-step explanation:

The common ratio is 15/3 = 5.

The first term is 3.

So, the explicit rule is \(5(3)^{n-1}\)

Answer:

\( x = 9 \)

Step-by-step explanation:

Given:

\( PQ = x - 5 \)

\( QR = 2x - 1 \)

\( PR = 21 \)

Required:

Value of x

SOLUTION:

Point P, Q, and R are collinear, therefore:

\( PQ + QR = PR \) (segment addition postulate)

\( (x - 5) + (2x - 1) = 21 \) (substitution)

Solve for the value of x using the above equation.

\( x - 5 + 2x - 1 = 21 \)

Combine like terms

\( x + 2x - 5 - 1 = 21 \)

\( 3x - 6 = 21 \)

Add 6 to each side of the equation

\( 3x - 6 + 6 = 21 + 6 \)

\( 3x = 27 \)

Divide each side by 3

\( \frac{3x}{3} = \frac{27}{3} \)

\( x = 9 \)

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$439.23\\ P=\textit{original amount deposited}\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}\)

\(439.23=P\left(1+\frac{0.1}{1}\right)^{1\cdot 4}\implies 439.23=P(1.1)^4 \\\\\\ \cfrac{439.23}{1.1^4}=P\implies 399.3=P\)

Answer:

2 t-shirts ; 1 collar shirt

Step-by-step explanation:

We need to first obtain the ratio of T - shirts to collar shirts :

T - shirts = 10

Collar shirts = 5

Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1

Hence, using the ratio obtained ; if Jake buys 3 new shirts :

Number of T-shirts :

(Ratio of t-shirts / total ratio) * new t-shirts

2/3 * 3 = 2 t-shirts

Collar shirts :

1/3 * 3 = 1

2 t-shirts ; 1 collar shirt

Answer:

i cannot understand

Step-by-step explanation:

The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

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Answer:

6.012 as a fractions is 503/250

Step-by-step explanation:

The answer is B

Eplanation:

V = pi * r² * (h/3)

Then from here you just make h the subject of the formula:

h = (V * 3)/(pi * r²)

h = (393*3)/[3.14* (10/2)²]

h = 15.01910828 ft

which is rounded to 15 ft...B

:)

Answer:

1.(a) 4/11

1.(b) 11/30

1.(c) 9/25

Step-by-step explanation:

1.(a)

       100x = 36.363636...

(-)           x =   0.363636...

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

          99x = 36

x = 36/99

x = 4/11

Answer: 0.363636... = 4/11

1.(b)

          10x = 3.66666666...

(-)           x = 0.36666666...

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

           9x = 3.3

x = 3.3/9

x = 33/90

x = 11/30

Answer: 0.36666... = 11/30

1.(c)

0.36 = 36/100 = 9/25

Answer: 0.36 = 9/25

The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours."  

What does the frequency distribution in the table reveal about the homework habits of the two samples of high school students?

The frequency distribution in the table provides insights into the distribution of homework habits among the two samples of high school students. By examining the frequency counts in each time category, we can determine the proportion of students spending different amounts of time on homework each night. This information helps identify patterns and differences in homework habits between the two samples, allowing for a comparison of their study behaviors.

Here is an example of a 4-column table with 2 rows representing the results of a random survey asking two samples of 100 high school students about the amount of time they spend on homework each night:

Sample 1:

  Sample 1                                                     Number of Students

    Time                                                                   Frequency

   <1 hour                                                                     20

  1-2 hours                                                                    40

 2-3 hours                                                                     30

    >3 hours                                                                   10

Sample 2:

 Sample 2                                                        Number of Students

Time                                                                      Frequency

<1 hour                                                                        30

1-2 hours                                                                    35

2-3 hours                                                                   20

>3 hours                                                                      15

In this table, each sample represents a different group of 100 high school students, and the frequency of students spending a particular amount of time on homework each night is recorded. The time categories are divided into "<1 hour," "1-2 hours," "2-3 hours," and ">3 hours." The table provides an overview of the distribution of homework time among the two samples of high school students.

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It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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Answer:

a) b

b) d

Step-by-step explanation:

Given that three zeros of a fourth-degree polynomial function f are -6, 4, and 6i, we can find the fourth zero by using the fact that complex zeros occur in conjugate pairs. Therefore, the other zero of f must be the conjugate of 6i, which is -6i.

In a polynomial function, complex zeros occur in conjugate pairs. Since 6i is one of the zeros of the fourth-degree polynomial function f, its conjugate -6i must also be a zero. This is because complex conjugates have the same real part but opposite imaginary parts.

Therefore, the other zero of f is -6i. The four zeros of the polynomial function f are -6, 4, 6i, and -6i.

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Answer: the answer is correct

Step-by-step explanation:

the color is green, you're just color-blind not red I got it correct the first time (no I did not it's just sad)

Answer:

x =5

Step-by-step explanation:

c = 5√2

a = x

b = x

Formula

x^2 + x^2 = c^2                    Combine the x^2

Solution

2x^2 = (5√2)^2                    Expand the right side

2x^2 = 2*25                         Divide both sides by 2

x^2 = 25                               Take the square root of both sides.

x = 5

Answer:

answer in the file

Step-by-step explanation:

The table has a greater rate of change.

The rates of change are equal.

In the given problem, we have a table showing the relationship between x and y values. By comparing the change in y with the change in x, we can determine the rate of change. Looking at the table, we observe that for every increase of 1 in x, there is a corresponding increase of 1 in y. Therefore, the rate of change for this table is 1.

The slopes are equal.

The equation has a greater slope.

In problem 2, we are given a linear equation in the form y = mx + b, where m represents the slope. The given equation is y = 2x + 7, which means the slope is 2. To compare the rates of change, we compare the slopes. If the slopes are equal, the rates of change are equal. In this case, the slopes are equal to 2, so the rates of change are the same.

The function rule has a greater slope.

The slopes are equal.

In problem 3, we are told that as x increases by 1, y increases by 3. This information gives us the rate of change between x and y. The slope of a function represents the rate of change, and in this case, the slope is 3. Comparing the slopes, we find that they are equal, as both have a value of 3. Therefore, the rates of change are the same.

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The statement "the precision of your answer is determined by the largest place of significance when adding and subtracting" is False because The precision of your answer is determined by the number of decimal places when adding and subtracting.

For example, if one number is given to the nearest hundredth and the other is given to the nearest tenth, then the result should be given to the nearest tenth. This is because the tenths place is the largest place of significance in this case.

When adding and subtracting, it is important to take into account the precision of each number before adding or subtracting.

If one number is given to the nearest tenth and the other is given to the nearest hundredth, then the result should be given to the nearest hundredth, as the hundredths place is the largest place of significance.

The same applies for any other number of decimal places.

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Given radius of circle = 35 cm

\(\color{plum}(\pi \: value = \frac{22}{7} )\)

Then, circumference (perimeter) of circle :

\( = 2\pi r\)

\( = 2 \times \frac{22}{7} \times 35\)

\( = \frac{44}{7} \times 35\)

\( = \frac{1540}{7} \)

\(\color{plum}\bold{ = 220 \: cm}\)

Therefore, the circumference(perimeter) of this circle = 220 cm

2x + 17 grows no faster than 3x as x approaches infinity.

To show that 2x + 17 is O(3x), we need to find two positive constants, C and k, such that:

|2x + 17| <= C|3x| for all x > k

We can start by simplifying the left-hand side:

|2x + 17| = 2x + 17 (since x is always non-negative)

Next, we can simplify the right-hand side:

|3x| = 3x

Now, we need to find C and k that satisfy the inequality:

2x + 17 <= C*3x for all x > k

Dividing both sides by 3x, we get:

(2/3) + (17/3x) <= C for all x > k

Since (2/3) is a constant, we only need to find a value of k such that (17/3x) is less than some other constant. Let's choose k = 1, then:

(17/3x) < 6 for all x > 1

So, we can choose C = 6 and k = 1. Therefore, we have shown that:

|2x + 17| <= 6|3x| for all x > 1

This satisfies the definition of 2x + 17 being O(3x), which means that 2x + 17 grows no faster than 3x as x approaches infinity.

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Therefore, the average force exerted on the bucket per unit time is given by the change in momentum divided by the time interval: Δp / (1/R) = RΔp.

The average tension T in the massless rope holding the bucket is equal to the total force exerted on the bucket due to the falling rubber balls. This force is equal to the change in momentum of the balls per unit time. When a rubber ball falls into the bucket, it experiences a change in momentum due to the gravitational force acting on it.

The change in momentum is given by the product of the mass of the ball (m) and the change in velocity (v), which is equal to the velocity of the ball when it leaves the tube. Since the balls bounce back to their original height, the change in velocity is twice the initial velocity, as the ball reverses its direction. The time interval between successive ball impacts is 1/R.

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Carrie must have invested £2550 at 8% interest rate for 1 year

What is the present value of £2754 ?

The present value of £2754  is its today's worth of the £2754  that would be received in 1 year, in other words, using the present value formula of a single cash flow provided below, we can determine the amount Carrie must have invested a year ago to be entitled to £2754  today

PV=FV/(1+r)^N

PV=amount invested=unknown

FV=worth of investment after 1 year=£2754

r=interest rate=8%

N=number of years since invested=1

PV=£2754/(1+8%)

PV=£2754/1.08

PV=£2550

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