Answer:
The radius is 32
Step-by-step explanation:
V= πr2h
So,
3.14(18)(x)=1808.64
56.52x=1808.64
= 32.
simplify 1/6^3 divided by 1/36
Answer:
1/6
Step-by-step explanation:
To simplify the expression:
1. Change the divisor into it's reciprocal
2. Change the sign into a multiplication sign.
3. Evaluate the product of those fractions.
4. Simplify the fraction. (If possible)
Given expression:
[tex]\dfrac{1}{6^3 } \div \dfrac{1}{36}[/tex]
According to step 1, we need to convert the divisor of the expression into it's reciprocal.
[tex]\dfrac{1}{6^3 } \div \dfrac{36}{1}[/tex]
According to step 2, we need to change the division sign (÷) into a multiplication sign (×).
[tex]\implies \dfrac{1}{6^3 } \times \dfrac{36}{1}[/tex]
According to step 3, we need to determine the product of these fractions. This can be done by evaluating the exponent.
[tex]\implies \dfrac{1}{(6)(6)(6) } \times \dfrac{36}{1}[/tex]
[tex]\implies \dfrac{1}{216 } \times \dfrac{36}{1}[/tex]
Multiply the fractions as needed. [a/b × c/d = (a × c)/(b × d) = (ac)/(bd):
[tex]\implies \dfrac{36}{216 }[/tex]
According to step 4, (If possible), Simplify the product of 1/216 and 36. In this case, the product of 1/216 and 36 is 36/216. Since both are divisible by 6, we can divide the numerator and the denominator by 6 to simplify the fraction.
[tex]\implies \dfrac{36 \div 6}{216 \div 6 }[/tex]
[tex]\implies \dfrac{1}{6 }[/tex]
Therefore, the quotient of 1/6^3 and 1/36 is 1/6.
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Answer:
[tex]\large\textsf{$\dfrac{1}{6}$}[/tex]
Step-by-step explanation:
[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{36}$} \implies \normalsize \textsf{Convert 36 into a base with an exponent}[/tex]
[tex]\large\textsf{$\dfrac{1}{6^3} \div \dfrac{1}{6^2}$} \implies \normalsize \textsf{Cross multiply}[/tex]
[tex]\large\textsf{$\dfrac{1 \cdot 6^2}{1 \cdot 6^3}$} \implies \normalsize \textsf{Multiply}[/tex]
[tex]\large\textsf{$\dfrac{6^2}{6^3}$}\implies \normalsize \textsf{Simplify using the Quotient of Powers Property: \normalsize\textsf{$\dfrac{x^m}{x^n} = x^{m-n}$}}[/tex]
[tex]\large\textsf6^{2-3}[/tex]
[tex]\large\textsf6^{-1} \implies \normalsize \textsf{Simplify using the Negative Exponent Property: \normalsize\textsf {${x^{-m}} = \dfrac{1}{x^m}$}}[/tex]
[tex]\large\textsf{$\dfrac{1}{6^1}$} \implies \normalsize \textsf{Simplify}[/tex]
[tex]\large\textsf{$\dfrac{1}{6}$} \implies \normalsize \textsf{Final answer}[/tex]
Hope this helps!
just answer this quistion
Answer:
5
Step-by-step explanation:
ty
]
What is the sum of the series (image below)
a. 1,830
b. 2,010
c. 5,400
d. 5,490
Answer:
d. 5490
Step-by-step explanation:
[tex]\begin{aligned}\displaystyle \sf \sum_{n=1}^{60} 3n & =3(1)+3(2)+3(3)+...+3(49)+3(50)\\ & = 3+6+9+...+147+150\end{aligned}[/tex]
Therefore, this is an arithmetic series with:
first term (a) = 3common difference (d) = 3Sum of the first n terms of an arithmetic series:
[tex]S_n=\dfrac12n[2a+(n-1)d][/tex]
Therefore, the sum of the first 60 terms:
[tex]\begin{aligned}S_{60} &=\dfrac12(60)[2(3)+(60-1)3]\\ & =30[6+(59)3]\\ & = 30[6+177]\\ & = 30[183]\\ & = 5490 \end{aligned}[/tex]
Answer:
The answer is D) 5,490.
Step-by-step explanation:
Write an equation of the line with the given slope and y-intercept:
m = negative 5, b = 4
a.
y = negative 5 x + 4
b.
y = 5 x + 4
c.
y = negative 5 x minus 4
d.
y = 5 x minus 4
Answer:
y = negative 5 x + 4
Step-by-step explanation:
Hope it helps you in your learning process
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Enter your answer in the answer box below.
The unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters is[tex]9.[/tex]
What is triangle?A triangle can be referred to as a polygon with three edges and three vertices.
we can arrange length of one side of a unique triangle in 3 different ways.
Let x,y,z be the length of the three sides.
For triangles to be unique, length of one side can be arranged in 3 different ways.
Then, length of 6.5 cm can be at maximum three positions which is x,y,z.
The 2.5 cm lenght can appear to be at maximum three positions which is x,y,z.This can as well be done for 6cm.
Therefore, total ways of making unique triangles[tex]= (3 + 3+ 3)= 9[/tex]
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Answer:
1
Step-by-step explanation:
Given:
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Solve:
Define:
What is a unique triangle?
Only one way to create triangle.
Are congruent which means same.
As you may know the word "Unique"
which means : original and unique designs
So without even solving we can see that there is only "One" way .
Kavinsky
keep answering my questions for lots of points answer and you can win brainlist
[tex]5 \frac{1}{4} + 1 \frac{3}{8} [/tex]
Lets solve it
[tex]5 \frac{1}{4} + 1 \frac{3}{8} [/tex]
[tex] \frac{21}{4} + \frac{11}{8} [/tex]
Taking the LCM of both denominator which is 8
[tex] \frac{42 + 11}{8} [/tex]
[tex] \frac{53}{8} [/tex]
Hey ! there
Answer:
[tex] \bold{ 6 \dfrac{5}{8} } \sf{\: is \: the \: answer}[/tex]Step-by-step explanation:
In this question we are given with two whole fraction . And we are asked to simplify them by adding .
Solution : -
Step 1 : Converting the fractions into improper fraction :
[tex]\dashrightarrow \: \qquad \: \dfrac{21}{4} + \dfrac{11}{8} [/tex]
Step 2 : We know that L.C.M of 4 and 8 is 8. So,
[tex]\dashrightarrow \: \qquad \: \dfrac{42 + 11}{8} [/tex]
Step 3 : Adding 42and 11 :
[tex]\dashrightarrow \: \qquad \: \dfrac{53}{8} [/tex]
Step 4 : Converting it in form of whole fraction :
[tex]\dashrightarrow \: \qquad \blue{\underline{\boxed{\frak{ \:6 \dfrac{5}{8} }}}} \quad\bigstar[/tex]
Therefore , 6 whole 5/8 is the correct answer .#Keep LearningOn a coordinate plane, 2 lines are shown. The first dashed straight line has a positive slope and goes through (negative 1, 0) and (0, 2). Everything to the right of the line is shaded. The second solid straight line has a positive slope and goes through (0, negative 1) and (1, 1). Everything to the left of the line is shaded.
Which equation represents an inequality in the system of inequalities shown in the graph?
Which point is a solution to the system?
#1
(-1,0)(0,2)Slope:-
m=2/0+1=2/1=2Equation in point slope form
y=2(x+1)y=2x+2Shading done to right means towards origin
2(0)+2=2>0So
shading is towards origin
The inequality is
y<2x+2Dashed line given so we remain it <
#2
(0,-1)(1,1)Slope:-
m=1+1/1=2Equation in point slope form
y+1=2xy=2x-1Put (0,0)
2(0)-1=-1<0The inequality is(solid line given)
y≥2x-1Graph attached
Answer:
c and b was right for me
Step-by-step explanation:
Problem 2 Six different jobs need to be done today at the restaurant where you work. You have a pool of nine available workers. If you can assign only one worker to each job and no more than one job to a worker, how many different worker/job assignments are possible
========================================================
Explanation:
The order matters because the jobs are different. This means we'll use a permutation.
We have n = 9 workers to pick from and r = 6 jobs to fill.
Plug those values into the nPr permutation formula.
[tex]n P r = \frac{n!}{ (n-r)! }\\\\9 P 6 = \frac{9!}{ (9-6)! }\\\\9 P 6 = \frac{9!}{ 3! }\\\\9 P 6 = \frac{9*8*7*6*5*4*3*2*1}{ 3*2*1 }\\\\9 P 6 = 9*8*7*6*5*4 \ \ \text{.... Note: The 3*2*1 cancels}\\\\9 P 6 = 60480\\\\[/tex]
There are 60480 ways to assign the 9 workers to the 6 different jobs where order matters.
----------------------
Another approach:
Label the 6 jobs as A,B,C,D,E,F
For job A, we have 9 workers to pick from.
For job B, we have 8 workers to pick from. This is because it states that there is "no more than one job to a worker".
For job C, we have 7 workers to pick from. And so on. We have this countdown going on. We stop once we reach job F.
We end up with 9*8*7*6*5*4 = 60480 different permutations
The string "9*8*7*6*5*4" is found in the second to last step of the section above.
Two equations are given below: m 4n = 8 m = n − 2 what is the solution to the set of equations in the form (m, n)? (4, 6) (2, 4) (0, 2) (6, 8)
System of equations are equations that is more than one and have two or more unknowns. The solution to the given system of equation is expressed as (0, 2)
System of equationsSystem of equations are equations that is more than one and have two or more unknowns.
Given the simultaneous equation
m + 4n = 8
m = n - 2
Substitute equation 2 into 1 to have:
n - 2 + 4n = 8
5n - 2 = 8
5n = 10
n = 2
Recall that m = n - 2
m = 2 - 2
m = 0
Hence the solution to the given system of equation is expressed as (0, 2)
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Simplify the radical
Answer:
4 ^3√7m^2
Step-by-step explanation:
^3√64×7m^2
^3√4^3×7m^3
^3√4^3 3^√7m^2
= 4^3√7m^2
Answer:
[tex] \boxed{ \tt = 4 \sqrt[3]{7m {}^{2} } }[/tex]
Step-by-step explanation:
Given,
[tex] \sqrt[3]{448m {}^{2} } [/tex]
Solution:
Rewrite 448 m^2:[tex] = \sqrt{4 {}^{3 } \times 7 \: m {}^{2} } [/tex]
Bring terms out from the radical and write it as;[tex] \tt = 4 \sqrt[3]{7m {}^{2} } [/tex]
[tex] \rule{225pt}{2pt}[/tex]
A solid box with height 20cm, width 10cm and length 80cm needs to be painted.
The paint costs £0.16 per cm2.
How much will it cost to paint the outside of the box?
Answer: is 832cm
Step-by-step explanation:
A piece of string is 120 centimeters long.
How long would the piece of string Measure in meters?
Picture:
Answer:
1.2 m
Step-by-step explanation:
1 meter = 100 cm
120-100(1m)=20
.2 meters would be 20 cm if we're going by 1 m = 100cm.
We already have 1 meter from 100 cm and then we add the .2 meters to the 1 meter. 1+.2= 1.2 m
Answer:
1.2
Hope this helped!
What’s the percentile rank of a score of 64?
Answer: 64%
Step-by-step explanation:
The score you have entered means that the individual who took the test is at the sixty-fourth percentile – their percentile rank is 64%. This means that the student had a test score greater than or equal to 64% of the reference population. Conversely, 36% of students scored equal to or higher than the individual tested.
16. How much did your classmates typically spend on music downloads last year? statistical or not statistical
Answer:
This would be a statistical question.
Step-by-step explanation:
Natasha and Rodrigo are in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected
There are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items.
The number of the possible ways will be calculated by:
[tex]=2 ^{28}C_2+^{28}C_4[/tex]
[tex]=\dfrac{28\times 27}{2}+\dfrac{28\times 27\times 26\times 25}{4\times 3\times 2}[/tex]
[tex]=756+28853[/tex]
[tex]=21231[/tex]
Hence there are 20853 ways are there to select the 4 leaders so that either Natasha and Rodrigo are both selected or Natasha and Rodrigo are both not selected.
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camila is 4 years younger then her brother when camila was 7 how old was her brother
Answer:
He was 11
Step-by-step explanation:
if Camila was 4 years younger than her brother and she was seven. That means he is 4 years older than her. so 7+4=11
Consider the nuclear equation below. superscript 239 subscript 94 upper p u right arrow variable x plus superscript 4 subscript 2 upper h e. what is x? superscript 235 subscript 96 upper c m. superscript 243 subscript 92 upper u. superscript 235 subscript 92 upper u. superscript 243 subscript 96 upper c m.
Based on the calculations, the chemical element (X) in this nuclear equation is equal to ²³⁵U₉₂.
What is an alpha decay?An alpha decay refers to a type of nuclear reaction in which the atomic nucleus of a radioactive element emits an alpha particle (atom of helium), thereby, producing chemical elements with a different atomic nucleus.
In this exercise, we are given the following nuclear equation with an alpha decay:
²³⁹Pu₉₄ -----> X + ⁴He₂
For the superscript, we have:
239 - 4 = 235.
For the subscript, we have:
94 - 2 = 92.
Therefore, the chemical element (X) is equal to ²³⁵U₉₂.
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Answer:
its c
Step-by-step explanation:
trust
help brainless if right
Answer:
The boat is 26 mi far from dock .
Step-by-step explanation:
By using PGT
P²+B² = H²
=> 10² + 24² = c²
=> 100 + 576 = c²
=> 676 = c²
=> √676 = c
=> 26 = c
Answer:
26 miles
Step-by-step explanation:
We can use Pythagorean's Theorem for right triangles which states that:
[tex]a^2+b^2=c^2[/tex]
The values 'a' and 'b' are the shorter sides of the triangle, while the value 'c' is the longest side of the triangle. We are given the two shorter sides 'a' and 'b', so let's now find 'c':
[tex](24mi)^2+(10mi)^2=c^2[/tex]
[tex]576mi^2+100mi^2=c^2[/tex]
[tex]c^2=676mi^2[/tex]
[tex]c=\sqrt{676mi^2}[/tex]
[tex]c=26mi[/tex]
Question 16 of 25
What is the inverse of the function below?
fx) = x - 4
O A. f-1(x) = x- 4
O B. f- (x) =-X+4
O c. f-1(x) = x+4
O D. f-1(x) = -x- 4
The inverse of the function is f ( x )⁻¹ = x + 4
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = x - 4 be equation (1)
On simplifying , we get
The inverse of the function is given by replacing x with y
So , the value of the function is
y = x - 4
x = y + 4
On interchanging , we get
f ( x )⁻¹ = x + 4
Hence , the inverse is f ( x )⁻¹ = x + 4
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There is a circle inscribed in an equilateral triangle, and there is another equilateral triangle inscribed in the circle. The ratio of the area of the larger triangle to the smaller triangle is:
Answer:
Assuming that the circle bissects the triangles equal sides at their midpoints, the ratio of the larger to smaller triangle should be close to 1/3
Find the DIAMETER of a circle for the circumference given.
circumference = 81 km
A) 4 km B) 10 km
C) 12 km D) 8 km
Answer:
25.796... km
Step-by-step explanation:
We are given that:
Circumference: 81 kmFormula of circumference:
2πr or πdThus, we can rewrite the circumference as:
2πr = πd = 81 kmSince we are asked to determine the diameter, it is recommended to use the formula (πd). Therefore,
πd = 81 kmDivide π both sides to isolate the diameter:
⇒ πd/π = 81 km/π ⇒ d = 81 km/πSubstitute π as 3.14 and simplify:
⇒ d = 81 km/3.14 ⇒ d = 25.796... kmTherefore, the diameter of the circle is 25.796... km.
Which angle is coterminal with 140°?
Answer:
A
Step-by-step explanation:
Every 360 degrees (full circle) that you add or subtract from 140 is coterminal
140 + 360 = 500
PleASE HELP FAST
no links
Answer:
y=40/183x
Step-by-step explanation:
y = Rise/Run multiplied plus y intercept by x or Y= mx + b
There is no b
m = 40/183
Y = 40/183x
The average attendance at school for 5 days was 264. If the attendance on the 5th day was 256, calculate the average attendance for the first 4 day’s
Answer:
266
Step-by-step explanation:
Let the attendence of 5days be a,b,c,d,e
given,
(a+b+c+d+e)/5=264
a+b+c+d+256=264*5 [since 5th day=256]
(a+b+c+d+)/4=1(320-256)/4 [dividing both side by 4]
average attendence of 4 days =266
Which is the smallest number that when rounded off to the nearest hundred thousand equals 500
million?
Esti belongs to a track team. She runs 85 yards at each of the team's 11 practices. How far does Esti run in the 11 practices?
Answer:
935 yards
Step-by-step explanation:
If she runs 85 yards at each practice you would multiply it by the amount of practices. So 85x11
4 6 24 , 5 3 15, 2 3 6 ,4 2 8 what pattern do u see
Can someone please give me the (Answers) to this? ... please ...
I need help….
please view the calculations section of this ans
Calculations ↓The easiest way to determine the sine, cosine, and tangent of a number is to utilize the calculator, which we are asked to do.
cos (89) = 0.017
sin (17) = 0.29
tan (35) = 0.700
hope helpful ~
in a linear equation, how many times will a line cross the x-axis and y-axis?
(a) 4
(b) 2
(c) 1
(d) 3
Answer:
1 time they will only cross 1 time
Answer:
one, in a linear equation a line will only cross the x-axis and y-axis once.
When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of his finishing times in the 400 meter race.
The interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.
What is empirical rule?According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
[tex]P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%[/tex]
Here we had where mean of distribution of X is [tex]\mu[/tex] and standard deviation from mean of distribution of X is [tex]\sigma[/tex].
When Ryan runs the 400 meter dash, his finishing times are normally distributed with a mean of 75 seconds and a standard deviation of 0.5 seconds.
The interval of times that represents the middle 68% of his finishing times in the 400 meter race is,
[tex]P(75 - 0.5 < X < 75 + 0.5) = 68\%\\P(74.5 < X < 75.5) = 68\%[/tex]
Thus. the interval of times which represents the middle 68% of Ryan's finishing times in the 400 meter race, using the empirical rule, is 74.5 seconds to 75.5 seconds.
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