Answer:
The circumference is 6.3 in
The circumference of the circle is given by the equation C = 6.3 inches
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circumference of the circle be represented as C
Now , the equation will be
Let the radius of the circle be r = 1 inch
Now , circumference of circle = 2πr
Substituting the values in the equation , we get
The circumference of the circle C = 2 ( 3.14159 ) x 1
On simplifying the equation , we get
The circumference of the circle C = 6.3 inches
Hence , the circumference of the circle is 6.3 inches
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FIND B ONLY
WILL GET BRAINLIEST
Answer:
the answer is RATIONAL
Step-by-step explanation:
why u ask
becasue the number is less than 1
please mark brainiest
in how many ways can 4 people be seated in a row of 12 chairs
Answer:
11,880.
Step-by-step explanation:
This is given by the number of permutations of 4 from 12
= 12P4
= 12!/(12-4)!
= 12!/8!
= (12*11*10*9*8*7*6*5*4*4*2*1) / (8*7*6*5*4*4*2*1)
= 12^11*10*9
= 11,880.
Can someone help me with this
Pls help :/
Find the expected value of the winnings from a game that has the following payout probability distribution.
I will give brainlies t
The expected value of the winnings from a game that has the following payout probability distribution is 2.3
What is expected value?In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values.
To calculate the expected value ,
we have to multiply each of the given probability by the individual payout value and then add the following answers
So, expected value
=0(0.45) + 2(0.3) + 4(0.1) + 8(0.1) + 10(0.05)
=0+0.6+0.4+0.8+0.5
= $2.3
Hence, the expected value is 2.3
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ACTUAL ANSWER:
3.1
Step-by-step explanation:
0.45(0) + 0.3(4) + 0.1(6) + 0.1(8) + 0.05(10)
= 3.1
Also I checked on on Acellus and it was correct.
Zora owns an online fashion boutique. She launched a promotion where followers of her social media account who tag a friend are entered into a giveaway. The linear relationship between the hours since launching the promotion and her total number of followers on social media is shown on the graph below. a. Find the rate of change and explain its meaning. mt
An equation is formed of two equal expressions. The equation that can be used to represent the graph is y=50x+300.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A.) The rate of change, in this case, signifies the number of followers Zora is gaining per hour. It can be found using any two coordinates of the line.
(x₁ , y₁) = (0,300) = coordinate of point 1,
(x₂ , y₂) = (2,400) = coordinate of point 2,
Now, the rate of change or the slope will be equal to,
[tex]m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{400-300}{2-0} = 50[/tex]
Hence, the rate at which Zora will gain followers is 50 followers/hour.
B.) The y-intercept is the value of y when the value of x is 0. Therefore, the y-intercept of the function is 300.
The y-intercept of the graph is 300, which means at the very initial stage Zora will have 300 followers.
C.) The graph is represented by a line, and the general equation of a line is represented by y=mx+c. To know the value of the constant c, substitute the value of the slope and any coordinate in the equation.
[tex]y=mx+c\\300=50(0)+c\\c=300[/tex]
Hence, the equation that can be used to represent the graph is y=50x+300.
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Question 3(Multiple Choice Worth 1 points)
(08.05 LC)
The graphs of f(x) and g(x) are shown below:
Answer:
The correct equation is D
You want to draw a red then a blue marble. do you have a better chance of drawing a red then blue marble with or without replacing the first marble? explain your answer
Answer: Without replacing
Step-by-step explanation:
If you don't replace the first red marble, it decreases the number of red marbles in the mix, making the proportion of blue marbles relatively larger. For example, if there were 5 red and 5 blue marbles, there would be a 50% chance of drawing a blue marble. If the red drawn is not replaced, there is a 5/9 chance of drawing a blue marble, or a 55% chance of drawing one.
What is the sum of the interior angles of a polygon that has 6 sides
Answer:
720
Step-by-step explanation:
A polygon with 6 angles is called a hexagon
To find the sum of interior angles, we use the following formula:
(n-2)*180 (n is the number of angles)
4*180 = 720
HELP
type of equation:
equation:
f(5)=
Answer:
Types of Equations and Examples
Types of Equations and Examples
There are various types of equations, such as,
Linear equation
Equation with one variable
Equation with two variables
Equation with three variables
Polynomial equation
Monomial Equations
Binomial Equation
Trinomial Equation
Quadratic equation
Trigonometric equation
Radical equation
Exponential equation
Rational equation
types of equations
types of equations
1. Linear Equation:
A linear equation is an algebraic equation. In linear equation, each term is either a constant or the product of a constant and a single variable. If there are two variables, the graph of linear equation is a straight line.
General form of the linear equation with two variables is given below:-
y = mx + c, m ≠ 0.
Equation with one Variable: An equation who have only one variable, e.g.
12x – 10 = 0
Step-by-step explanation:
Find the surface area of the figure?
Step-by-step explanation:
the surface area consists of 6 individual areas :
front and back (both are equal)
left and right (both are equal)
top and bottom
front and back are trapezoids.
the area of a trapezoid is
(base 1 + base 2)/2 × h
the bases are the 2 parallel sides.
in our case the area of one trapezoid is
(5 + 19)/2 × 12.1 = 145.2 ft²
front and back together then are 290.4 ft².
left and right are 8×14 rectangles:
8×14 = 112 ft²
together they are 224 ft².
the bottom is a 5×8 rectangle :
5×8 = 40 ft²
the top is a 19×8 rectangle :
19×8 = 152 ft²
so, the total surface area is
290.4 + 224 + 40 + 152 = 706.4 ft²
I need help with this its like a fraction
[tex]\frac{10^8}{10^6} = 10^{8-6} = 10^2 = 100[/tex]
The rule used is
[tex]\frac{a^b}{a^c} = a^{b-c}[/tex]
Subtract the exponents when dividing exponentials like this of the same base.
You work for a cereal company that is looking to design some new boxes for their cereal. The cereal is sold in the size of 512 cubic units
You will be designing three rectangular prisms with unique dimensions. Find the surface area of each of your prisms, showing your work.
Dimensions and Surface Area
1)
2)
3)
If the dimension of the rectangular prism will be (4, 8, 16), (2, 8, 32), and (2, 4, 64). Then the surface area will be 448, 672, and 784 square units respectively.
What is a rectangular prism?A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.
You work for a cereal company that is looking to design some new boxes for their cereal.
The cereal is sold in the size of 512 cubic units.
You will be designing three rectangular prisms with unique dimensions.
The possible dimension of the rectangular prism will be
Volume = 512
Volume = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Then we have
{(4, 8, 16), (2, 8, 32), (2, 4, 64)}
Then the surface area will be
If the dimension is (4, 8, 16). Then the surface area will be
Surface area = 2(4x8 + 8x16 + 16x4)
Surface area = 448 square units
If the dimension is (2, 8, 32). Then the surface area will be
Surface area = 2(2x8 + 8x32 + 32x2)
Surface area = 672 square units
If the dimension is (2, 4, 64). Then the surface area will be
Surface area = 2(2x4 + 4x64 + 64x2)
Surface area = 784 square units
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Which expression is irrational?
A 18
B 18
C 64
D 364
Answer:
all of those answers are rational numbers
Step-by-step explanation:
The cost of a kayak is $2,450 and the selling price is $3,560 find the nearest percent of markup on the selling price. round to the nearest tenth of a percent.
well, the markup or the bumped up amount is 3560 - 2450 = 1110.
if we take 2450 to be the 100%, what is 1110 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 2450 & 100\\ 1110& x \end{array} \implies \cfrac{2450}{1110}~~=~~\cfrac{100}{x}\implies \cfrac{245}{111}~~=~~\cfrac{100}{x} \\\\\\ 245x=11100\implies x=\cfrac{11100}{245}\implies x\approx 45.3[/tex]
1) Set up, but do not solve, a system of equations for the following application: A nurse mixes a 100% saline solution with a 20% saline solution to produce 160 milliliters of a 25% saline solution. How much of the 100% saline solution and how much of the 20% saline solution were used?
The systems of the equations for the word problem can be expressed as:
x + y = 500 --- (1)100x + 20y = 4000 --- (2)What is a system of equations?The system of equations is a set of simultaneous equations that comprises two or more equations expressed in algebraic terms.
From the given information, we are to determine two quantities
i.e.
For 100% saline solution (x) andFor 20% saline solution (y)So, 100% and 20% of saline solution produce 160 millimeters.
x + y = 160
Also, the combination of 100% and 20% of saline solution give an average of 25%.
The average now = sum of numbers/ the total numbers
25% = sum of numbers/160
sum of numbers = 25% (160)
Therefore, we can equate it to the mixture carried out by the nurse.
i.e.
25% (160) = 100%(x) + 20%(y)
100x + 20y = 4000
Therefore, the systems of the equations are:
x + y = 500 --- (1)
100x + 20y = 4000 --- (2)
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Which lists contain only rational numbers? Select all that apply.
104
54, 163,
63, 191, 142
F
81, 49
49,11,19
25
V4, V16, 36
36, V64, V100
64,19,781, 14, 121
48
28 , /31, 10, 12
There are 3 items in an order. They cost $14.65, $8.49, and $10.99. The sales tax for this order is 7.5%.
What is the total cost of the order?
$34.13
$35.84
$36.52
$36.69
Answer:
(d) $36.69
Step-by-step explanation:
The total cost of the order is the sum of the costs of the items and the tax on that subtotal.
__
The price after tax can be found using the multiplier (1 +tax rate) applied to the subtotal.
total cost = ($14.65 +8.49 +10.99)×(1 +0.075) = $34.13×1.075
total cost = $36.69
Answer: $36.69
Step-by-step explanation: K12 Test 8.02 Grade 7 Semester B Test - Part 1
13+-2x=-17 help abs explain steps if u can please
Let's find 3/4+1/10
First write the addition with a common denominator.
Then add. 3/4+1/10=?/?+?/?=?/?
Answer:
[tex]\frac{34}{40}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}+\frac{1}{10}[/tex]=[tex]\frac{30}{40}+\frac{4}{40}[/tex]=[tex]\frac{34}{40}[/tex]3. Find the probability of rolling a prime number when a 14-sided die is rolled.
Answer:
3/7
Step-by-step explanation:
Probability = number of favorable outcomes/total number of possible outcomes
We know the total number of possible outcomes is 14 since there are 14 sides to the dice.
Let's find how many of those numbers are prime numbers.
2, 3, 5, 7, 11, and 13 are all the prime numbers between 1 and 14, so there are 6 favorable outcomes.
Now create the fraction then reduce.
6/14 reduce by 2/2
3/7
al. Rajeshwari prepared 24 kg sweets to be distributed on Diwali. She packed the sweet in boxes. Each box contained kg. a.How many boxes of sweets were prepared? b. How much sweet was left unpacked with her? c.If she has 15 friends, will she be able to distribute the sweets to all her friends?
Answer:
9
Step-by-step explanation:
she have 24kg she gave 15kg so answer is 9
Factor the quadratic trinomial x²- 9x+18
(x + ) (x+ )
Answer:
(x - 6)(x - 3)
Step-by-step explanation:
x² - 9x + 18
consider the factors of the constant term (+ 18) which sum to give the coefficient if the x- term (- 9 )
the factors are - 6 and - 3 , since
- 6 × - 3 = + 18 and - 6 - 3 = - 9 , then
x² - 9x + 18 = (x - 6)(x - 3) ← in factored form
Answer:
(x - 3)(x - 6)
Step-by-step explanation:
x²- 9x+18
= x^2 - 6x - 3x + 18
= x(x - 6) - 3(x - 6)
= (x - 3)(x - 6).
I need help solving this
Answer:
50° and 40°
Step-by-step explanation:
complementary angles sum to 90°
80% = [tex]\frac{80}{100}[/tex] = 0.8
let the 2 angles be x and 0.8x , then
x + 0.8x = 90
1.8x = 90 ( divide both sides by 1.8 )
x = 50
0.8x = 0.8 × 50 = 40
the 2 angles are 50° and 40°
A box has a width of 5 centimeters and a height of 6 centimeters. If the volume is 150 cubic centimeters, what is the length of the box?
A) 5 centimeters
B) 4 centimeters
C) 7 centimeters
D) 3 centimeters
Answer: A. 5
Step-by-step explanation:
Answer:
A) 5 cm.
Step-by-step explanation:
Volume = length * width * height
150 = length * 5 * 6
Length = 150 / (5*6)
= 150/30
= 5.
find the arc length of a central angel of 36 degrees in a circle whose radius is 2 inches
[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =36 \end{cases}\implies s=\cfrac{(36)\pi (2)}{180}\implies s=\cfrac{2\pi }{5}\implies s\approx 1.26~in[/tex]
Given the expression: 3x¹0 - 48x²
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Find the surface of the cone in terms of pi.
144pi cm2
108pi cm2
90pi cm2
180pi cm2
please
Check the picture below.
if the diameter of its base is 12, then its radius must be half that, or 6.
[tex]\textit{surface area of a cone}\\\\ SA=\pi r\stackrel{\stackrel{slant~height}{sh}}{\sqrt{r^2+h^2}} + \pi r^2~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ sh=18 \end{cases}\implies SA=\pi (6)(\stackrel{sh}{18})+\pi (6)^2 \\\\\\ SA=108\pi +36\pi \implies SA=144\pi[/tex]
I really need help with my math someone please help
Answer:
∠ A = 56°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2x + 3x + 40 = 180
5x + 40 = 180 ( subtract 40 from both sides )
5x = 140 ( divide both sides by 5 )
x = 28
then
∠ A = 2x = 2 × 28 = 56°
A ring-shaped region is shown below.
Its inner diameter is 16 ft. The width of the ring is 2 ft.
it
16 ft
Find the area of the shaded region.
Use 3.14 for . Do not round your answer.
X5?
Answer:
Area = 213.52 sq.ft
Step-by-step explanation:
[tex]A_{s} =\pi (18)^{2} -\pi (16)^{2} =324\pi -256\pi =68\pi[/tex]
[tex]\pi =3.14[/tex]
[tex]A_{s} =68(3.14)=213.52sq.ft[/tex]
Hope this helps
Answer:
113.04 ft²
Step-by-step explanation:
The area of the ring can be found by multiplying its center-line length by its width.
__
The diameter of the circle that is the center-line of the ring is ...
16 ft + 2 ft = 18 ft . . . . center-line diameter
The length of the center-line is then ...
C = πd
C = 3.14(18 ft) = 56.52 ft
And the area of the ring is ...
A = LW = (56.52 ft)(2 ft) = 113.04 ft²
The shaded area is 113.04 square feet.
Factor: n^2 + 10n + 25
A) (n+5)^2
B) (n-5)^2
C) (n+25)(n+1)
D) (n+5)(n-5)
Answer:
A) (n+5)^2
Step-by-step explanation:
(n+5)^2
(n+5)(n+5)
n*n = n^2
(n*5)+(n*5) = 10n
5*5 = 25