Answer:
2
Step-by-step explanation:
Divide 9/37 and you get repeating decimal of 0.243
Divide 2005 by 3 because the decimal repeats 3 numbers
You will get reminder of 1 from dividing 2005 by 3
Move 1 place from the decimal point and you get 2
Can someone help me with this please
Answer:
.574
Step-by-step explanation:
This can be inputted in a calculator to achieve .57357643
To three decimal places that is .574
Using your knowledge of common Pythagorean triples , find the hypotenuse in a triangle with shorter side lengths 25 units and 60
units.
The triple is a multiple of a common primitive Pythagorean triple. Which one?
A. (5,12,13)
B. (8,15,17)
C. (3,4,5)
D. (7,24,25)
Answer: A
Step-by-step explanation:
One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3). Which transformations could have taken place? Select two options. R0, 90° R0, 180° R0, 270° R0, –90° R0, –270°
Answer:
R0, 90°
R0, –270
Step-by-step explanation:
Answer:
A, E
Step-by-step explanation:
The diagram shows a square with side length 5cm.
The length of the diagonal is y cm.
Find the exact value of y.
Answer:
5sqrt2
Step-by-step explanation:
Using the pythagorean theorem, we get 5^2+5^2=c^2. C is the diagonal here. 25+25=c^2, c^2=50. c=sqrt50. Simplifying it, we get the diagonal as 5sqrt2.
Suppose x(t) is the continuous-time function given by x(t) = 1 on the interval [0; 1] and x(t) = 0 elsewhere. a) Calculate the continuous time Fourier transform of x(t). Call this X(j????). b) Suppose x1 (t) = x(2t). Provide the explicit definition for x1 (t) (i.e. over what interval
Answer:
a) X( w ) = 1 /jw - e^-jw / jw
b) X1(t) = 1 for 0.5
X1(t) = 0 for elsewhere
Step-by-step explanation:
x(t) continuous time function = 1
interval ( 0,1 ) also x(t) = 0 outside the given interval
a) Determine the continuous time Fourier transformation of x(t)
x( t ) = u(t) - u(t - 1 )
x ( w ) = 1 /jw - e^-jw / jw
b) supposing x1(t) = x(2t)
x1(t) = u(t) - u ( t - 0.5 )
x1(t) = 1 for 0.5
x1(t) = 0 for elsewhere
here are the first five terms of a quadratic sequence (1 8, 21, 40, 65). the nth term of this sequence can be written in the form (an2 + bn). where a and b are integers. work out the value of a and the value of b
Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=[tex]an^2+bn[/tex]
We have to find the value of a and b where a and b are integers.
For n=1
[tex]a+b=1[/tex] ......(1)
For n=2
[tex](2)^2a+2b=8[/tex]
[tex]4a+2b=8[/tex]
[tex]2a+b=4[/tex] .....(2)
Subtract equation (1) from (2) we get
[tex]2a-a=4-1=3[/tex]
[tex]a=3[/tex]
Using the value of a=3 in equation (1)
[tex]3+b=1[/tex]
[tex]b=1-3=-2[/tex]
Hence, the value of
a=3 and b=-2
Which of the following best describes the pattern in the diagram as you move
from the top to the bottom row?
1
2
3
A. Row 7 will contain 10 circles.
ООО
B. Each row increases by 1 circle.
O C. Each row increases by 2 circles.
o
D. Row 9 will contain 12 circles.
Answer:
B
Step-by-step explanation:
Contagious diseases can spread quickly. Suppose 3 people are ill during the first week of an epidemic, and each
person who is ill spreads the disease to five people by the end of the next week. By the end of the 8th week of
the epidemic, how many people have become ill?
OA) 292,968 people
OB) 392,978 people
Answer:
392,978 people is correct
Step-by-step explanation: i am a college math teiacher i work at steve harvard
A delivery truck driver work shift is between 4 - 6 hours (240 - 360 minutes). It takes
the driver 45 minutes to load the truck and an average of 15 minutes per stop to deliver the packages. How many stops on average can he deliver packages during his shift 2
(Plz help)
Answer:
You are good on it
Step-by-step explanation:
Woplor
What is the equation of a straight line which passes through (-1,4) and parallel to the line 3x+27-7-0?*
Step-by-step explanation:
3x+27-7-0=3x+20
gradient=3
y=mx+c
4=3(-1)+c
4+3=7
c=7
y=3x+7
S is the centroid of the triangle. Find IT if ST =9
Answer:
27
Step-by-step explanation:
The centroid divide a median in two parts, with ratio 1/3 and 2/3.
In particular the part between the centroid and the point where the median touches the side is 1/3 of the median.
We can build this proportion:
ST : 1/3 = IT : 3/3
9 : 1/3 = IT : 1
IT = 9 * 3 = 27
3x3x8x8x8x8 in EXPONENTIAL FORM!
x = multiplication sign, not variable!
Answer:
192^2
Step-by-step explanation:
[tex]\sqrt{3*3*8*8*8*8} = \sqrt {36864} = 192^2[/tex]
Hope you enjoy :)
Simplify The Equation
Answer:
5
Step-by-step explanation:
5 ^ 1/3 * 25 ^ 1/3
Rewriting 25 and 5^2
5 ^ 1/3 * 5^2 ^ 1/3
We know that a^b^c = a^ (b*c)
5 ^ 1/3 * 5^ 2/3
We know a^b * a^c = a^(b+c)
5^ ( 1/3 + 2/3)
5^1
5
Find the circumference
please help :)
Answer:
Step-by-step explanation:
circumference = [tex]\pi[/tex]* diameter
circ = 3 * 32
circ = 96
Find the slope.
Directions: For problems 1 through 3, graph the line by using the given X values and find its slope.
Answer:
Answer is in the picture.
please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty
Answer:
45:13/36
46:86/63
47:19/42
48:9/10
49:1/12
I am getting an amazing offer of 50% +50% discount. How much i have to pay for the shoes priced Rs. 6500? Explain Your Answer.
Answer:
1625
6500 * .5 * .5 =
6500 * .25 = 1625
Step-by-step explanation:
Instructions: Find the missing side. Round your answer to the nearest
tenth.
30
48°
х
х
=
Answer:
x = 44.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 48 = 30/x
x cos 48 = 30
x = 30 / cos 48
x=44.83429
Rounding to the nearest tenth
x = 44.8
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 4500 write-rewrite CDs, and 150 are defective. If 4 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Answer:
0.1269 = 12.69% probability that the entire batch will be rejected.
Step-by-step explanation:
CD's are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
4500 CDs, which means that [tex]N = 5000[/tex]
150 defective, which means that [tex]k = 150[/tex]
4 are selected, which means that [tex]n = 4[/tex]
What is the probability that the entire batch will be rejected?
At least 1 defective, which is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,4500,4,150) = \frac{C_{150,0}*C_{4350,4}}{C_{4500,4}} = 0.8731[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.8731 = 0.1269[/tex]
0.1269 = 12.69% probability that the entire batch will be rejected.
HELP
Line CD passes through points C(3, -5) and D(6,0). What is the equation of line CD in standard form?
60
O 5x + 3y = 18
O 5x - 3y = 30
O 5x - y = 30
O 5x + y = 18
Answer:
Hello the answer is 5x - y = 30!
Step-by-step explanation:
m = (0 (-5))/(6 - 3) = (0 + 5)/(3) = 5/3
y = mx + b
O = (5/3)(6) + b
O = (30/3) + b
O = 10 + b
-10 = b
3y = 5x - 30
3y + 30 = 5x
5x - 3y = 30
The area of a triangle is one-half times the base times the height. If the area of a
triangle is 54 sq. in, and its height is 12 in., what is the base????
I rlly need answer haha
Answer:
The base is 90 sq
Step-by-step explanation:
Formula for Area= 1/2*b*h
where b is unknown and area = 54sq
Placing in formula1/2 *b*12 = 54sq
12b = 54*2
12b /12 = 54*2/12
b = 9sq
see screenshot below
Answer:
4x^2 +2x +1
Step-by-step explanation:
(4x^3 -14x^2 -7x-4) / (x-4)
Using synthetic division
Bringing down the 4 and multiplying and adding
4 4 -14 -7 -4
↓ 16 8 4
-------------------------------
4 2 1 0
The quotient is 4x^2 +2x +1 and the remainder is 0
Answer:
[tex] {4x}^{2} + 2x + 1[/tex]
Step-by-step explanation:
the most handy way to solve the question is Polynomial long division which is done below:
[tex] \begin{array}{ccc} \qquad {4x}^{2} + 2x + 1 \\ \hline x - 4 \Bigg)4 {x}^{3} - {14x}^{2} - 7x - 4 \\ - {4x}^{3} + 16 {x}^{2} \\ \hline \qquad \qquad \qquad {2x}^{2} - 7x - 4 \\ \qquad \qquad- {2x}^{2} + 8x \\ \hline \qquad \qquad \qquad \qquad \qquad x - 4 \\ \qquad \qquad \qquad \qquad \qquad - x + 4 \\ \hline\qquad \qquad \qquad \qquad \qquad0 \end{array}[/tex]
since our remainder is 0 we'll put the answer in P(x) form only
note: please see the answer in the brainly app for a better view
A rectangular park of length 60 m breadth 50 m encloses w volleyball court of length 18 m and breadth 10 m. Find the area of the park excluding the court at the rate of Rs 110 per square meter.
Given
A rectangular park of length 60 m breadth 50 m encloses with volleyball court of length 18 m and breadth 10 m.
To find:
The area of the park excluding the court at the rate of Rs 110 per square meter.
Solution:
Area of a rectangle is:
[tex]Area=length \times breadth[/tex]
Area of whole park is:
[tex]A_1=60 \times 50[/tex]
[tex]A_1=3000[/tex]
Area of volleyball court is:
[tex]A_2=18 \times 10[/tex]
[tex]A_2=180[/tex]
Now, the area of the park excluding the court is:
[tex]A=A_1-A_2[/tex]
[tex]A=3000-180[/tex]
[tex]A=2820[/tex]
Therefore, the area of the park excluding the court is 2820 square meter.
Please help……………………….
Let’s start with the easy part: half of the base is 3.
Therefore, 3 x h + 1 = 18
3 x h = 3h and 3 x 1 = 3
3h + 3 = 18
To solve these equations, you have to do the inverse. First you would need to minus 3:
3h = 15
3h is a simpler way of saying 3 x h, so the inverse would be a divide.
h = 5
What is the nth term for 2 3 5 13
this is a number is can not devide
Help on this please
please help!! 15 points! I need 5 and 9 answered
Answer:
B: Subtraction property of equality
I NEEDDDD HELPPPP ITS URGENTTTT!!!!
The number of booker borrowed from a library each week follows a normal distribution. When sample is taken for several weeks, the mean is found to be 190 and the standard deviation is 30
Answer:
2.5%
Step-by-step explanation:
Given :
Mean, μ = 190
Standard deviation, σ = 30
Probability that more than 250 books are borrowed ;
x = 250
P(Z > z)
Z = (x - μ) / σ
P[Z > (x - μ) / σ] = P[Z > (250 - 190) / 30]
P(Z > z) = P(Z > 2)
P(Z > 2) = 1 - P(Z < 2) = 1 - 0.97725
P(Z > 2) = 1 - P(Z < 2) = 0.02275
(0.02275 * 100)% = 2.275%
2.5% is closest to 2.275%
Instructions: Find the missing side. Round your answer to the nearest
tenth.
49
х
66°
X
[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]
The missing side is 53.6 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown.
The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:
sin(θ) = opposite / hypotenuse
Here, θ = 66°
Using the sine ratio in the given triangle, we get
sin 66° = perdenicular/hypertanuas
Substitute the known values in the above ratio,
sin 66° = 49/x
x = 49/sin 66°
x = 53.63717
Rounded to the nearest tenth,
x ≈ 53.6
Thus, the missing side is 53.6 units for the given right triangle.
Learn more about the right triangle here:
https://brainly.com/question/11899922
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