Answer:
Step-by-step explanation:
[tex]arc->s\\s=r\theta={0.5diameter\theta}=0.5*6m*{2\pi\over{3}}=2\pi[/tex]
The length of the arc of a circle of diameter 6 meters subtended by a central angle of 2π/3 radians is; 8.8 meters.
What is the arc of the circle?The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
angle= arc/radius
= 2π/3 radians
The diameter = 6 m
Then radius = 3 m
Length of arc = radius x central angle in radians
⇒3 x 2/3
= 2 m
= 44 / 5
= 8.8
Hence the arc of a circle is 8.8 m.
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Eight less than the product of three and a number is twenty two
Answer:
let x represent the missing number
3x-8=22
3x=22+8
3x=30
3x/3=30/3
x=10
Step-by-step explanation:
hope this is helpful
Answer:
3x - 8 = 22
Step-by-step explanation:
always use x as "the number"
remember product means multiply!
8 less than the product of three and a number
3x - 8
lastly, "is 22"
"is" means equals
3x - 8 = 22
I hope this helps!!
Legend has it that the great mathematician carl friedrich gauss (1777dash–1855) at a very young age was told by his teacher to find the sum of the first 100 counting numbers. while his classmates toiled at the problem, carl simply wrote down a single number and handed the correct answer in to his teacher. the young carl explained that he observed that there were 50 pairs of numbers that each added up to 101. so the sum of all the numbers must be 50 times •101equals=5050. modify the procedure of gauss to find the sum. 1plus+2plus+3plus+...plus+320
Answer: Sum is 51360
Step-by-step explanation: I have heard same legend and it is also told in hih school math books.
There are 160 pairs numbers which sum is 321, also (320 +1) + (319+2) + ... + (160 + 161). So sum is 160·321
Triangle A
Triangle B
Triangles A and B are
O A. only similar
O B. only congruent
O C. both similar and congruent
D. none of the above
Given the linear equation 3y + 4x = 12, find the y-intercept.
Answer:
(0,4)
Step-by-step explanation:
3y + 4x = 12
To find the y intercept, set x =0 and solve for y
3y = 4*0 =12
3y = 12
Divide by 3
3y/3 = 12/3
y =4
Answer:
4
Step-by-step explanation:
3y + 4x = 12
3y = -4x + 12
y = -[tex]\frac{4}{3}[/tex]x + 4
A publishing house is selling subscriptions to magazines for 10% off the original price.
If a subscription to Time Magazine usually costs $50, how much will it cost on sale?
A) $5
B) $45
C) $42
D) $55.56
Answer:
B. 45
Step-by-step explanation:
50x.10=5 discount
50-5=45
What’s the volume?
someone please help
Answer:
17734.55 inches cubed. If you found this helpful, love the answer! Thank you :D
Step-by-step explanation:
Very simple. We find the area of the circle, A=Pi Radius Square.
So 3.14 (15x15)
A≈706.86
The bottom shape is 706.86x24=16964.64
The top is a cone, meaning its V≈3769.91
So 3769.91+16964.64=17734.55
You may want to double check later with other peoples answer!
A quadrilateral has one pair of parallel sides with lengths 1 3/4 inches and 1 1/4 inches, and two angles that
each measure 36º. What shape is it?
Answer:
trapezoid
it's automatically a trapezoid if it only has one pair of parallel sides that are different lengths and has two acute angels
Solve for x.
5(x - 10) = 30 – 15x
O x= 1
O x = 4
O x = 5
O x = 8
Answer:
X=4
Step-by-step explanation:
Distribute
5(x−10)=30−15x
5 − 5 0 = 3 0 − 1 5
Rearrange terms
5x−50=30−15x
5 − 5 0 = − 1 5 + 3 0
Add 5 0 to both sides of the equation
5x-50+50=-15x+30+50
Add 1 5 to both sides of the equation
5 + 1 5 = − 1 5 + 8 0 + 1 5 \
2 0 /2 0 = 8 0/ 2 0
= 4
Option B is correct, the value of x in the equation 5(x - 10) = 30 – 15x is 4,
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5(x - 10) = 30 – 15x
Five times of x minus ten equal to thirty minus fifteen times of x.
x is the variable in the equation
Apply distributive property on left hand side
5x-50=30-15x
Take the variables on one side and constants on other side
5x+15x=30+50
Combine the like terms
20x=80
Divide both sides by 20
x=4
Hence, the value of x in the equation 5(x - 10) = 30 – 15x is 4, option B is correct.
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Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
Which pair of figures has the same number of faces as vertices?
triangular prism and triangular pyramid
triangular prism and rectangular prism
rectangular pyramid and triangular pyramid
rectangular pyramid and rectangular prism
Answer:
Rectangular pyramid and triangular pyramid
Step-by-step explanation:
A rectangular pyramid and triangular pyramid has the same number of faces as vertices
What is a Pyramid?A pyramid is a three dimensional shape (has length, width and height) with a polygonal base and flat triangular faces.
A rectangular pyramid have same number of faces as vertices with each being 5 in number. A triangular pyramid have same number of faces as vertices with each being 3 in number.
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Pls help me I need the answer ASAP no rocky. What is the median of the data set
Answer:
go back in the lesson and relearn this is 6th grade work
solve
3x+3y=18
2x-2y=4
1. Which of the following is a nonlinear function?
A. The items at a clothing store are sold at a discount of 20% off the original price.
B. The number of dogs in a town increases by 20 per neighborhood per year.
C. A soccer manufacturing company spends $5 on each soccer ball.
OD. The number of students enrolling at a high school increases each year by a factor of 1.25.
There are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6 (if you don't mind combining things like gummy bears and Oreo crumbles). How many possible ways are there to choose your toppings.
The number of ways in which the selection of toppings can be made are 36.
What is combination? What is a mathematical function, equation and expression?combination : combination is a combination of [n] things taken [k] at a time without repetition. Mathematically -[tex]$_n C_r=\frac{n !}{r ! (n-r) !}[/tex]
function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that there are 6 toppings at an ice cream shop. You can choose any number of toppings from 0 all the way up to 6.
The total number of ways in which the selection can be made are -
x = 6 x 6 = 36
[x] = 36
Therefore, the number of ways in which the selection of toppings can be made are 36.
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El valor de x en la ecuación 1+4x-3=6x+8
Answer:
1 + 4x - 3 = 6x + 8
4x - 6x = 8 - 1 + 3
-2x = 10|:(-2)
x = -5
A jar has 465 M & Ms. There are twice as many blues as reds. There are 8 more green as red. The
number of brown M & M's is two more than three times the number of reds.
Answer:
Step-by-step explanation:
Consider the following exponential probability density function.  for x ≥ 0 If needed, round your answer to four decimal digits.(a) Find P(x ≤ 2). (b) Find P(x ≥ 3). (c) Find P(x ≤ 5). (d) Find P(2 ≤ x ≤ 5).
Answer:
Here the general formula is
[tex]P(X\leq x_{0} )=1 - e^{\frac{-x_{0}}{2} }[/tex]
a) [tex]P(X\leq 2 )= 0.6321[/tex]
b) [tex]P(X\geq 3 )= 0.2231[/tex]
c) [tex]P(X\leq 5 )= 0.9179[/tex]
d) [tex]P(2\leq X\leq 5 )= 0.2858[/tex]
Step-by-step explanation:
Now the solutions are,
a)
[tex]P(X\leq 2 )=1 - e^{\frac{-2}{2} }\\P(X\leq 2 )= 0.6321[/tex]
b)
[tex]P(X\geq 3 )=1-[1 - e^{\frac{-3}{2} }]\\P(X\geq 3 )= 0.2231[/tex]
c)
[tex]P(X\leq 5 )=1 - e^{\frac{-5}{2} }\\P(X\leq 5 )= 0.9179[/tex]
d)
[tex]P(2\leq X\leq 5 )=1 - e^{\frac{-5}{2} }-1 - e^{\frac{-2}{2} }\\P(2\leq X\leq 5 )= 0.2858[/tex]
What are the domain and range of the function f(x)= -log(5- x)+9?
Domain; x<5
range: 29
domain: x <5
range: (-0.co) domain: x29
range: (-0.CO)
domain: x29
range: 29
Answer:
Domain: X<5
Range: f(x)∈ R
Step-by-step explanation:
add this
(9j+6)+(9j+9)
Answer:
18j+15
Step-by-step explanation:
Answer:
18 j+15
(9j+6)+(9 j+9) 9j+9j +9+9 = 18 j+15
A chessboard has 64 squares on it. If each square is 1 inch by 1 inch, what is the area of the entire
chessboard covered by the squares?
Answer:
64 inches squared
Step-by-step explanation:
100 POINTS
Solve for x.
−12x+13>35
Drag and drop a number or symbol into each box to correctly complete the solution.
Answer:
answer is <-8/5
and x <-22/12
A. -11/3
B. -7/3
C. 7/3
D. 11/3
Answer:
[tex]\displaystyle a = \frac{-11}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 9 = (\frac{1}{27})^{a + 3}[/tex]
Step 2: Solve for a
Rewrite: [tex]\displaystyle 3^2 = (\frac{1}{27})^{a + 3}[/tex]Rewrite: [tex]\displaystyle 3^2 = (\frac{1}{3^3})^{a + 3}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 3^2 = (3^{-3})^{a + 3}[/tex]Exponential Rule [Powering]: [tex]\displaystyle 3^2 = 3^{-3(a + 3)}[/tex]Set up: [tex]\displaystyle 2 = -3(a + 3)[/tex][Division Property of Equality] Divide -3 on both sides: [tex]\displaystyle \frac{-2}{3} = a + 3[/tex][Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle \frac{-11}{3} = a[/tex]Rewrite: [tex]\displaystyle a = \frac{-11}{3}[/tex]peter lost 8 marbles in a game. this number was one fifth of the number that he started with. how many marbles he have at the beginning
Answer:
40
Step-by-step explanation:
8 is one fifth of x8 multiplied by 5 405.44 divided by 0.32
Answer:
calculator on cumputer but 0.21
Step-by-step explanation:
[tex]\sf\purple{17}[/tex] ✅
Step-by-step explanation:
[tex] \frac{5.44}{0.32}[/tex]
To remove the decimal, we divide both the numerator and denominator by 100
[tex] \frac{5.44 \times 100}{0.32 \times 100} \\ = \frac{544}{32} \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
A cube has edges that measures 13 cm each find volume for a cube
Answer:
2197 cm^3
Step-by-step explanation:
V = s^3
V = (13 cm)^3
V = 2197 cm^3
TRICK QUESTION BE CAREFUL
Answer:
Just a guess, 65?
Step-by-step explanation:
This looks fun. I shall try it.
63-17 = 46
46 + 19 = 65.
How many times does the graph of the function below intersect or touch the x-axis y=-x^2+x+6
Points Pand Q are at the following locations on a number line.
Pis at -8.
Q is at -3.
Which number is on Pq but not on QP?
8 is in the left side of the number line
3 is in the right side of the number line
A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of 2916 with a mean life of 518 minutes. If the claim is true, in a sample of 81 batteries, what is the probability that the mean battery life would be greater than 526.4 minutes
Answer:
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The design engineer claims they have a variance of 2916 with a mean life of 518 minutes.
This means that [tex]\sigma = \sqrt{2916} = 54, \mu = 518[/tex]
Sample of 81 batteries
This means that [tex]n = 81, s = \frac{54}{\sqrt{81}} = 6[/tex]
What is the probability that the mean battery life would be greater than 526.4 minutes?
1 subtracted by the p-value of Z when X = 526.4. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{526.4 - 518}{6}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a p-value of 0.9192
1 - 0.9192 = 0.0808
0.0808 = 8.08% probability that the mean battery life would be greater than 526.4 minutes
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Answer: B
Step-by-step explanation: