The radius of the cylindrical cup is 6 centimeters.
What is the radius of the cup?A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.
The volume of a cylinder is expressed as;
V = π × r² × h
Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )
Given that the volume of the cylindrical cup is 1356.48 cubic centimeters and the height is 12 cm.
We can substitute these values into the formula and solve for the radius:
V = π × r² × h
r = √( V / (πh) )
r = √( 1356.48 / ( 3.14 × 12) )
r = 6 cm
Therefore, the radius is 6cm.
Option C) 6cm is the correct answer.
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Which expression is equivalent to 1/2x + 8
Answer:
1/2( x+16)
Step-by-step explanation:
1/2x + 8
Factor out 1/2
1/2*x + 1/2 *16
1/2( x+16)
3. Suppose that the measurement of time during the day is converted to the metric system so that each day has 10 metric hours, and each metric hour has 100 metric minutes. Digital clocks would then be produced that would read 9:99 just before midnight, 0:00 at midnight, 1:25 at the former 3:00 AM, and 7:50 at the former 6:00 PM. After the conversion, a person who wanted to wake up at the equivalent of the former 6:36 AM would set his new digital alarm clock for A:BC, where A, B, and C are digits. Find 100A + 10B + C.
The alarm at 6:36 AM will sound in metric time, which is equivalent to 2:75, and the value of 100A + 10B + C is 275.
From metric to standard time
1 minute equals 60 seconds in standard time.
1 h = 60 min = 3600 s
1 day = 24 hours = 1440 minutes = 86 400 seconds
A time of 8:9:2 equals 0.892 day.
0.892 day = 0.892 × 86 400 s = 77 069 s
1. From seconds to hours
2. Minutes to seconds
So, 0.892 day = 21 hours + 24 minutes + 29 seconds
In international notation, the time is 21:24:29 (about 9:24 p.m.).
B. From normal time to metric
1 hour equals 0.1 day in metric time.
1 minute = 0.1 hour = 0.01 day
1 second = 0.1 minute = 0.01 hour = 0.001 day
Hours, minutes, and seconds are thus tenths, hundredths, and thousandths of a day.
1. Convert the time from minutes to seconds.
6:36:00 = (6 × 3600 +36 × 60 ) s = 23760 s
2. Calculate the fraction of a day
23760 ÷ 86400 = 0.275
Hence the metric time is 2:75 .
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A company makes fifty-four million, nine hundred twenty thousand, one hundred
two widgets every year. What is this number written in standard form?
A. 54, 920, 102
B. 549, 212
C. 54, 000, 920, 102
D. 504, 920, 102
What is the exact area of a circle with a circumference of 28?
Answer:
a= 62.39
Step-by-step explanation:
Solve the equation: 10 < 2x < x + 9
Answer: \(5 < x < 9\)
Step-by-step explanation:
\(x+9 > 2x > 10\\\\x+9 > 2x \implies x < 9\\\\2x > 10 \implies x < 5\\\\\therefore 5 < x < 9\)
Which list orders the numbers from greatest to least
Select all the expressions that have the same value. a \large 3^3 b \large 3^4 c \large 6^2 d \large 6^3 e \large 9^2 f \large 9^3
The expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81
Selecting all expressions that have the same value.To compare the expressions, we can simplify them using the rules of exponents:
a) 3^3 = 27
b) 3^4 = 81
c) 6^2 = 36
d) 6^3 = 216
e) 9^2 = 81
f) 9^3 = 729
Using the above as a guide, we have the following:
Therefore, the expressions that have the same value are: b) 3^4 = 81 and e) 9^2 = 81
So, options b and e have the same value.
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ASAP PLEASE HELP!! EMERGENCY!!
A standard six sided die is rolled two times. use a tree diagram or organized list to write out the sample space.
Well, you can come up with 1,2,3,4,5,6 from the die. Its rolled twice so those numbers can happen two times. So we can use a tree diagram to write it out
Die
/|\
1-----1------2------2-----3--------3------------------4-----4-------5----------5---------6------6
Should look something like this. Connect the lines from die to each number, I can't draw them on the computer but hopefully this helps!
The size of the sample space is 36. And the sample space is given below.
What is a sample?A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.
A standard six-sided die is rolled two times.
Then the size of the sample space will be
Size of sample = 6 x 6
Size of sample = 36
Then the sample is given below.
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
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Twice the difference of a number and 6
Answer:
2x=6. I think friend it is correct.
Answer:
2(×-6)
Step-by-step explanation:
Correct me if im wrong thanks ●~●
Question no 59
Need solution
The area of the shaded region is 104 cm²
How to determine the areaFirst, we need to know that the area of a circle is calculated using the formula;
A = πr²
Such that the parameters of the formula are;
A is the area of the circler is the radiusFirst, let us find the area of the small circle
Area = 3.14 × 4²
Find the square value and multiply, we have;
Area = 50.24cm²
Area of the large circle = 3.14 × 7²
Find the square value and multiply
Area = 153. 86cm²
Area of the shaded region = Area of large circle - area of small circle
= 153.86 - 50.24
= 104 cm²
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18 = 0.29 so 20 = ???
Answer:
x=29/90 or 0.3222222
Step-by-step explanation:
ok, rewrite the question as a ratio
18/0.29=20/x, cross multiply
18x=.29*20, evaluate x
18x=5.8
x=29/90 or 0.3222222
29
Step-by-step explanation:
29/90
branlyueer099799893
3 minutes ago
Mathematics
College
ANSWER RIGHT AWAY PLEASE!
question one: simply the exponents. (show your work)
- 21^0 = ?
- (2/3)^-2 = ?
question two: Solve the problem. (leave your answer as a base number with an exponent and show your work)
- 4^6 / 4^2 = ?
question three: Convert the number into numerical form. (show your work)
- 8.723 x 10^-10 = ?
question four: Solve the problem. (leave your answer in scientific notion and show your work)
- 5.1 x 10^8 - 2.3 x 10^3 = ?
- 6 x 10^5 x 1.1 x 10^7 = ?
PLEASE ANSWER I WILL GIVE 100 POINTS TO ANYONE WHO ANSWERS AND MARK BRAINLIEST AT LEAST ANSWER THE ONES YOU KNOW
Bob Nale is the owner of Nale's Gas Station. Bob would like to estimate the mean number of gallons of gasoline sold to his customers. He assumes a population standard deviation of 2.30 gallons. From his records, he selects a random sample of 60 sales and finds the mean number of gallons sold is 8.60. What is the z-statistic for a 99% confidence interval for the population mean.
Answer:
The z-statistic for a 99% confidence interval for the population mean is 2.575.
Step-by-step explanation:
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.99}{2} = 0.005\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.005 = 0.995\), so Z = 2.575.
The z-statistic for a 99% confidence interval for the population mean is 2.575.
Wendi got 15 out of 20 questions correct on her English quiz and 9 out of 10 question correct on her math quiz which quiz did she do better on
Answer:
she did better on her math quiz
Step-by-step explanation:
15/20<9/10
15/20<18/20
Simple but effective
Let me know if this helps
I need to find the easiest way to learn how to divide fractions and mixed fractions. I also don't get how to simplify. 5 1/2 divided by 3/6
5 1/2 can be expressed as,
\(5\text{ }\frac{1}{2}=\frac{5\times2+1}{2}=\frac{10+1}{2}=\frac{11}{2}\)If a fraction x/y is divided by a/b another fraction,
\(\frac{\frac{x}{y}}{\frac{a}{b}}=\frac{x}{y}\times\frac{b}{a}\)So, 11/2 divided by 3/6 is
\(\frac{\frac{11}{2}}{\frac{3}{6}}=\frac{11}{2}\times\frac{6}{3}=\frac{11}{2}\times2=11\)Therefore, 5 1/2 divided by 3/6 is 11.
Write the standard equation of the circle in the graph.
Answer:
\((x-4)^2 + (y+3)^2 = 16\)
Step-by-step explanation:
\((x-h)^2 + (y-k)^2 = r^2\)
where \((h, k)\) is the center of the circle and \(r\) is the radius
Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. Answer the following questions. What are the values of the mean and standard deviation after converting all pulse rates of women to z scores using ? nothing nothing The original pulse rates are measure with units of "beats per minute". What are the units of the corresponding z scores? Choose the correct choice below. A. The z scores are measured with units of "minutes per beat." B. The z scores are measured with units of "beats per minute." C. The z scores are measured with units of "beats." D. The z scores are numbers without units of measurement.
Answer:
(1) 0 and 1
(2) Correct option D
Step-by-step explanation:
It is provided that pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.
Let X denote the pulse rates of women.
(1)
Let us consider a random variable, X that follows N (µ, σ²), then \(Z=\frac{X-\mu}{\sigma}\), is a standard normal variate with mean, E (Z) = 0 and variance V (Z) = 1.
That is, Z follows N (0, 1).
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Thus, z-scores are a type of standardized scores.
The values of the mean and standard deviation after converting all pulse rates of women to z scores are 0 and 1 respectively.
(2)
The z scores are numbers without units of measurement.
what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
What is the slope of a horizontal line?
Answer:
Slope of a horizontal line. When two points have the same y-value, it means they lie on a horizontal line. The slope of such a line is 0, and you will also find this by using the slope formula.
Hurry - Fill in the blanks
Answer:
The first value of a relation is an input value and the second value is the output value. A function is a specific type of relation in which each input value has one and only one output value.
An input is an independent value, and the output value is the dependent value, as it depends on the value of the input.
Please help!!
If you could explain how you solved this in detail it would be much appreciated.
When x^3+kx^2+2kx+6 is divided by (x-2), the remainder is 30. Find k.
Simplifying this equation, we get:
8 + 4k + 4k + 6 = 30
8k + 14 = 30
8k = 16
k = 2
Therefore, the value of k is 1.
What is polynomial?In mathematics, a polynomial is an expression consisting of variables (usually represented by x), coefficients, and non-negative integer exponents, which are combined using the operations of addition, subtraction, and multiplication. For example,
\(3x^2 + 2x - 1\)
is a polynomial with three terms, or a "trinomial," where the variable x is raised to the powers of 2 and 1, and the coefficients are 3, 2, and -1.
The degree of a polynomial is the highest power of the variable in the expression. For example, the polynomial above has a degree of 2, since the highest power of x is 2.
Polynomials are used in many areas of mathematics, including algebra, calculus, and geometry, and are used to model many real-world phenomena.
We can use the remainder theorem, which states that if a polynomial f(x) is divided by (x - a), then the remainder is equal to f(a). In this case, we know that when the polynomial\(l x^3 + kx^2 + 2kx\) + 6 is divided by (x - 2), the remainder is 30. So, we can set up the following equation:
\(x^3 + kx^2 + 2kx + 6 = (x - 2)q(x) + 30\)
where q(x) is the quotient when. \(x^3 + kx^2 + 2kx + 6\) is divided by (x - 2). We don't need to know what q(x) is, since we're only interested in finding k.
Now, let's substitute x = 2 into the equation above:
\(2^3 + k(2^2) + 2k(2) + 6 = (2 - 2)q(2) + 30\)
Simplifying the left-hand side, we get:
\(8 + 4k + 4k + 6 = 30\)
\(16k = 16\)
\(k = 1\)
OR
8 + 4k + 4k + 6 = 30
8k + 14 = 30
8k = 16
k = 2
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Pls help I need help on this question
Answer: B
Step-by-step explanation: Hope this helps:)
1⁄2 · n = 3 I don't know what to do
Answer:
n=6
Step-by-step explanation:
\(\frac{1}{2} n=3\)
Multiply both sides by 2
2*1/2n=3*2
Simplify;
n=6
Answer: n=6
Step-by-step explanation:
6*1/2=3 so this is y n=6.
Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D
Answer: C
Step-by-step explanation:
The rest of the quadrilaterals provided have 2 pairs of parallel lines.
The choice is:
CExplanation:
The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.
Here's what a trapezoid looks like :
\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)
Hence, this makes C the correct choice.(-7)(1.2) multiplying rational numbers
Answer:
-119
Step-by-step explanation:
Answer:
-8.4
Step-by-step explanation:
-7 x 1.2
18 + 3y < 27
n > 1
n < 1
n > -1
n> -1
The solution to the given inequality is y<3.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
The given inequality is 18+3y<27.
Here, subtract 18 on both the sides of an inequality, we get
3y<9
Divide 3 on both the sides of an inequality, we get
y<3
Therefore, the solution to the given inequality is y<3.
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i need help on this question
By taking a close look at the two triangles, it is observed that the two triangles have two corresponding sides and an included angle to be equal.
This relations
complete-the-sequence-1/1-1/2-1/9-1/64,..
i am trying to figure its formula to find its 10th term .
The 10the term of the sequence -1/1, -1/2, -1/9, -1/64....is -1/1,000,000,000
Sequence-1/1, -1/2, -1/9, -1/64
This can be written as;
-1/1° , -1/2¹, -1/3², -1/4³, -1/5⁴, -1/6^5, -1/7^6, - 1/8^7, -1/9^8, -1/10^9
So,
First term = -1/1,
Second term = -1/2,
Third term = -1/9,
Fourth term = -1/64,
Fifth term = -1/625,
Sixth term = -1/7,776,
Seventh term = -1/117,649,
Eighth term = -1/2,097,152,
Ninth term = -1 / 43,046,721,
Tenth term = -1/1,000,000,000
Therefore, the 10th term is -1/1,000,000,000
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Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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QUICK HELP ME DUE IN 3 MINUTES 123456789x123456789
Answer:
1.5241579e+16 is the answer
i d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d ki d kv