Answer:
120 ft
Step-by-step explanation:
60/360 or 1/6 of circle = 20 ft
full circle = 20 x 6 = 120 ft
diameter = 120/3.14 = 38.22 ft
radius = 38.22/2 = 19.11 ft
Answer:
Step-by-step explanation:
60° = ⅙ of 360°, so length of arc LM = ⅙ of 2πr.
20 = 2πr/6
r = 60/π ft
Solve the equation. The symbol "^" mean "raised to the second power"
C^2=28.2+42.1
Answer:
Step-by-step explanation:
c^2=28.2 + 42.1
SOLVE FOR A
A=logc (703/20), c ≠ 1 and C > 0
SOLVE FOR C
{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0
Solve the question f/3+22=17
Answer:
f=-15
Step-by-step explanation:
Let's solve your equation step-by-step.
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Answer:
f=−15
The value of the variable f for the given expression is f=-15.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is f/3+22=17. The value of f will be calculated as:-
f /3 +22=17
Step 1: Simplify both sides of the equation.
1 /3 f+22=17
Step 2: Subtract 22 from both sides.
1/ 3 f+22−22=17−22
1/3f=-5
Step 3: Multiply both sides by 3.
3*(1/3f)=(3)*(-5)
f=−15
Hence, the value of f will be -15.
To know more about an expression follow
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find the slope of the line through the points (10,6) and (-1,8)
Answer:
-2/11
Step-by-step explanation:
Help please!! I’ll give best answer brainliest!!
Answer:
D, The last one
Step-by-step explanation:
Can you guys help plsssss I’m tireddddd
Answer:
#8 - 52°, #9 - 29°
Step-by-step explanation:
8. The two angles added together are a straight line, so they sum up to 180 degrees.
x + (2x + 24°) = 3x + 24° = 180°
3x + 24° = 180°
3x = 156°
x = 52°
9. Similar to #8. "Supplementary" means they add up to 180° (whether they are actually next to each other or not).
So, 4x + (2x + 6°) = 180°
6x + 6° = 180°
6x = 174°
x = 29°
Hope this helps. Get some rest. Zzzzz :)
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
3x +2y=10 4x-y=6 using substitutional method
Answer:
( 2 , 2 )
Step-by-step explanation:
Solve the eqaution :
3x +2y=10
4x-y=6
Solve the eqaution for y :
3x + 2y = 10
y = -6 + 4x
Substitute for y : 3x + 2 ( -6 + 4x ) = 10
x = 10
Substitute for the value of x : x = 2
Substitute the given value of x into the eqaution
y = -6 + 4x : y = -6 + 4 × 2
Solve the eqaution: y = -6 + 4 × 2
solve the eqaution for y : y = 2
y = 2 A possible solution : the ordered solution pair is
( 2 , 2 )
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form
Answer:
3/4
Step-by-step explanation:
If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.
The answer is 3/4 of the kittens are not white.
This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.
Hope this helps, if not, comment below please!!!
:L
A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly
three out of six free throws?
The point D(-3, 1) is reflected over the x-axis. What are the coordinates of the resulting point, D′?
Answer:
The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.
Step-by-step explanation:
For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).
3.26 From a box containing 4 black balls and 2 green balls, 3 balls are drawn in succession, each ball being replaced in the box before the next draw is made. Find the probability distribution for the number of green balls.
Answer:
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
Step-by-step explanation:
Given
[tex]Black = 4[/tex]
[tex]Green = 2[/tex]
[tex]r = 3[/tex] --- selected balls (with replacement)
Required
Determine the probability distribution for the green balls.
Let x be a [tex]random\ variable[/tex] such that:
[tex]x = 0, 1, 2, 3[/tex]
Because it is a selection with replacement
The probability of a green ball being drawn is always:
[tex]P(G) = \frac{Green}{Total}[/tex]
[tex]P(G) = \frac{2}{6}[/tex]
[tex]P(G) = \frac{1}{3}[/tex]
The probability of a black ball being drawn is always:
[tex]P(B) = \frac{Black}{Total}[/tex]
[tex]P(B) = \frac{4}{6}[/tex]
[tex]P(B) = \frac{2}{3}[/tex]
So, the probability distribution of green is:
[tex]P(X = x) = (P(B))^{3-x} * (P(G))^x[/tex]
[tex]P(X = x) = (\frac{2}{3})^{3-x} * (\frac{1}{3})^x[/tex]
Apply law of indices
[tex]P(X = x) = \frac{2^{3-x}}{3^{3-x}} * \frac{1^x}{3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1^x}{3^{3-x}*3^x}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^{3-x+x}}[/tex]
[tex]P(X = x) = \frac{2^{3-x}*1}{3^3}[/tex]
[tex]P(X = x) = \frac{2^{3-x}}{27}[/tex]
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
What figure has one endpoint and continues without end on one direction?
Group of answer choices
A. line
B. line segment
C. ray
D. point
Answer:
Step-by-step explanation:
b line segment
Need help please help me
Can someone please help and thank you:)
Can some on help me not sure thanks
Answer:
13 I think
Step-by-step explanation:
So basically all i did was double what the gate had. 5=15 3=13 I dont know if that makes lol
HELP !!!!!!!!!! PLEASEEEEEEE
Answer:
13.825, 13, -13 25/40
Answer:
13.825, 13, and -13 25/40
Step-by-step explanation:
Hope this helps :)
9. What is the volume of this cube? (2 pts.) Show your work here.
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
On three days, Ben throws darts at a target.
Here are his results.
Number of hits
Number of misses
30
10
Number of throws
Monday
40
Tuesday
30
Wednesday
50
Total
120
18
12
36
14
84
36
(1)
a) Use Tuesday's results to estimate the
probability of Ben hitting the targe.
b) Use the total of the results to estimate the
probability of Ben of hitting the target.
c) Which estimate would give the most reliable probability?
A- the one from Tuesday or B - the one from the Total?
(1)
(1)
Total marks: 3
Answer:
0.6 ;
0.7
Reaukt in B will give a better estimate because it has a larger sample size (120) than the result on A ,with sample size (30)
Step-by-step explanation:
Probability of hitting the target using Tuesday's result :
P(hitting the target):
Probability = required outcome / Total possible outcomes
Required outcome = number of hits = 18
Total possible outcomes = number of throws =. 30
Hence, Probability of hitting the target using Tuesday's result : 18 / 30 = 0.6
B.)
Probability of hitting the target using Total result:
Required outcome = number of hits = 84
Total possible outcomes = number of throws =. 120
= 84 / 120
= 0.7
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answer:
Step-by-step explanation:
V=lbh=1 1/4×4×3 1/4
=5/4×4×13/4
=65/4
=16 1/4 cm³
=16.25 cm³
Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh
Dont know this question I am 2nd grade math 2 quarters = how many coins
Answer:
Well, 2 quarters are 2 coins. But, if you are asking the value of 2 quarters, then your answer will be, 50.
Step-by-step explanation:
So, 1 quarter = 25 cents. So that means that, 25 x 2 or 25 + 25 = 50. So, your answer will be 50. Hope that helps! :)
Answer:50
Step-by-step explanation:if a quarter equals 25cents and you have 2 quarters,you have to add .25+25 that equals 50 this is a simple way to do it.
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Mean number of lessons Mean Absolute Deviation (MAD)
Group A 5
Group B 3
2
2
Which statement about the data is true?
The mean number of lessons for group A is greater than the mean
for group B by 1 MAD
B. The mean number of lessons for group A is greater than the mean
for group B by 2 MAD
C. The MAD for group A is more than the MAD for group B
D. On average, the dogs in group B required more lessons than the
dogs in group A
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD
Step-by-step explanation:
Given the table :
_______Mean number of lessons ____ MAD
GRP A _____ 5 ___________________ 2
GRP B _____ 3 ___________________ 2
With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3
Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.
The mean absolute deviation (MAD), measures how far a value is from the mean
Difference in mean number of lessons :
5 - 3 = 2
2 lessons ;
Number of mean absolute deviations:
Difference / MAD value = 2 / 2 = 1
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD.
Step-by-step explanation:
Test approved
Please help my daughter has been stuck on this for the pass hour now
Answer:
algebraic expression: 3x + 2b
coefficients: 3 and 2
variables: w and b
# of terms: 2
constant: 0
algebraic expression: 6xy - 2c + 4
coefficients: 6 and -2
variables: x, y, and c
# of terms: 3
constant: 4
algebraic expression: 2/3 y - 3p
coefficients: 2/3 and -3
variables: y and p
# of terms: 2
constant: 0
Answer:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
Step-by-step explanation:
Okay, lets break this down.
An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :
A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.
The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.
Variable: A letter used to determine an unknown value such as x
Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :
[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]
Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
With all of that said, lets look at the problems given:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!
at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.
Answer:
Rate = 10%
Step-by-step explanation:
Given:
Amount deposit = 25,000
Amount get = 26,250
Time = 6 month = 6 / 12 = 0.5 year
Find:
Rate
Computation:
Interest = Amount get - Amount deposit
Interest = 26,250 - 25,000
Interest = 1,250
Interest = P x R% x T
1,250 = 25,000 x R% x 0.5
Rate = 10%
Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.
1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12
Answer:
Step-by-step explanation:
Sry but I only did 1,2,5,6,7&8
But am not sure if am correct just try
Please help me ASAP
Need help and answer if you know it please
Estimate by rounding each mixed number to thenearest whole number 5 1/3 - 3 7/9
Answer:
1.6 or 2?
Step-by-step explanation:
5-3 =2
1/3 - 7/9 LCD
3/9 - 7/9 =-4/9
2-4/9 = 1 5/9
16/3-34/9 LCD
1 5/9 = 1.5555555555 rounded is 1.6 or 2? Not sure if decimals count.
2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3617 in3. One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping. (a) One cup has a diameter of 2 in. and a height of 4 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. *** Complete sentences
Answer:Yes, your answers are correct.
The volume of a cone is given by V = 1/3πr²h. Since the diameter of the first cone is 4, the radius is 2; therefore the volume is
V = 1/3π(2²)(8) = 32π/3
We divide the volume of the sink, 2000π/3, by the volume of the cone:
2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.
The diameter of the second conical cup is 8, so the radius is 4. The volume then is:
V = 1/3π(4²)(8) = 128π/3
Dividing the volume of the sink, 2000π/3, by 128π/3:
2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16
Step-by-step explanation: