Answer:
0.18 i think
Step-by-step explanation:
Given ω=[tex]\frac{3-2i}{5-6i}[/tex] , find ω in the a+bi form.
Answer:
Solution is given in the photo
The equation \sqrt{6-y^2}=x
6−y
2
=x is a function of yy."
Equations are used to represent functions, and vice versa.
The equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
The function is given as:
[tex]\sqrt{6-y^2}=x[/tex]
Square both sides
[tex]6-y^2=x^2[/tex]
Subtract 6 from both sides
[tex]-y^2=x^2 - 6[/tex]
Multiply both sides by -1
[tex]y^2=6 - x^2[/tex]
Take square root of both sides
[tex]y=\sqrt{6 - x^2[/tex]
Express as a function
[tex]f(x) = \sqrt{6- x^2[/tex]
Hence, the equation of y as a function of x is [tex]y=\sqrt{6 - x^2[/tex]
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A savings account starts with $2,200. The total amount after 18 months was $2563. What is the annual interest
rate?
Answer:
11%
Step-by-step explanation:
Alexa spins a spinner that is divided into 6 equally sections: 2 red, 1 green, and 3 blue. What is the probability that Alexa spins a red or green?
Answer:
probability = 1/2 or 50%
Step-by-step explanation:
number of red + number of green = 2 + 1 = 3
Probability of landing on a red or green = 3/6 = 1/2
Red
Step-by-step explanation:Red
3x+1
If your kinda a math nerd you will understand this one
Answer:
If you equal it to zero (3x+1=0) it will be x= 1/3
Step-by-step explanation:
Subract the 1 over to the 0 then divide the 3 over.
How do I multiply minted numbers? Please explain step by step to get marked as brainliest
Answer:
Step-by-step explanation:
Fill in the blank with the correct factor, dividend, divisor or product to complete the number sentence correctly. ____ divided by 1.5 = (-6)
Answer:
the answer is negative nine
Please answer
2x^2+7x+3=0
Answer:
x+-(1)/(2),-3
Step-by-step explanation:
Thank you:)
Please somebody help me with this
Answer: call 911
Step-by-step explanation: call 911
10,260 words/minute = words/second
Answer:
171
Step-by-step explanation:
Dylan is knitting a scarf, and he wants the final product to be 4 inches wide and 63 inches long. Each skein of yarn will knit a rectangle that is 4 inches by 9 inches. How many skeins should Dylan buy?
Answer:
7
Step-by-step explanation:
63 / 9 = 7
HELPPPPPPPPLSSSSS FASTTTUTS A TEST
Hope you could get an idea from here.
Doubt clarification - use comment section.
4/7 + (-6/7) Find the sum. Write fractions in simplest form.
Answer:
i dont know sorry do u know
Lieutenant James made an average of 3 arrests per week for 4 weeks. How many arrests does she need to make in the fifth week to raise her average to 4 arrests per week?
Answer:
5
Step-by-step explanation:
We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:
Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2
Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.
Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5
Help me out please???
Answer:
5
Step-by-step explanation:
The interquartile range is Q3-Q1.
in this problem, Q3=7 and Q1=2
The sum of the angles of a triangle is 180 degrees. The second angle is 40 degrees more than the first
angle and the third angle is 5 times the measure of the first angle. What is the measure of the largest
angle?
Answer:
100⁰
Step-by-step explanation:
Let,
First angle = x
Second angle = x + 40
Third angle = 5x
=> x + x + 40 + 5x = 180
=> 7x + 40 = 180
=> 7x = 180 - 40
=> 7x = 140
=> x = 140/7
=> x = 20
Largest angle = 5x = 5(20) = 100⁰
[tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
First angle = x Second angle = x + 40Third angle = 5x[tex]:\implies\bf{x + x + 40 + 5x = 180} \\ \\ :\implies\bf{7x + 40 = 180} \\ \\ :\implies\bf{7x = 180 - 40} \\ \\ :\implies\bf{7x = 140} \\ \\ :\implies\bf{x = \frac{140}{7} } \\ \\ :\implies\bf{x = 20}[/tex]
The largest angle above is 5x thus,
[tex]:\implies\bf{5x} \\ \\ :\implies\bf{5 \times 20} \\ \\ :\implies\bf{100^°}[/tex]
A tire company paid $4,992 for 64 tires. Which is the most reasonable estimate for the cost of each tire?
7 1/2 divided by 2 1/2
Answer:
3
Step-by-step explanation:
A bookstore had 25 copies of a magazine. Yesterday the bookstore sold 3/5 of these coples. How many copies were sold yesterday?
Answer:
15
Step-by-step explanation:
25/5 = 5.
3 x 5 / 5+5+5 = 15
15/25 = 3/5
Which numbered choice shows a set of numbers whose product is -20 and whose sum is +1?
Use long division to solve 38 divided by 4
If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)
Work out the highest common factor (HCF) of 180 and 240
If I am correct, I believe that it is 60
In the equation 9.55 1.10 = 10.505, what are the factors? A. 9.55 and 10.505 C. 9.55 and 10.505 B. 1.10 and 10.505 D. 9.55 and 1.10
Answer:
D. 9.55 and 1.10
Step-by-step explanation:
9.55*1.10=10.505
Then the factors are 9.55 and 1.10
This is because factors are what makes the product so 9.55 times 1.10 is 10.505
So D. 9.55 and 1.10 is correct
Hope this helps!
calculate the quotient below and give your answer in scientific notation
Answer:
the answer is 95
a manufacturer has the following quality control check at the end of a production line. if at least 8 of 10 randomly picked articles meet all specifications, the whole shipment is approved. if in reality, 85% of a particular shipment meets all specifications, what is the probability that the shipment will make it through the control check?
Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.
For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
10 articles are picked, hence [tex]n = 10[/tex].85% of the articles meets all specifications, hence [tex]p = 0.85[/tex]The probability is:
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759[/tex]
[tex]P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474[/tex]
[tex]P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969[/tex]
[tex]P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 = 0.8202[/tex]
0.8202 = 82.02% probability that the shipment will make it through the control check.
For more on the binomial distribution, you can check https://brainly.com/question/24863377
78300 rounded to the nearest hundred HELP 100 POINTS
A 78346
B78273
C78251
D78389
E78249
Answer:
Its 78,300
Step-by-step explanation:
Functions
Acellus
Find the equation of this line.
[?]
-x+ []
y =
Simplify the fractional part.
Answer:
y = -2/5 x +1
Step-by-step explanation:
We know two points on the line (-5,3) and ( 5,-1)
We can find the slope using the slope formula
m = ( y2-y1)/ (x2-x1)
m = ( -1 -3)/( 5- -5)
= (-1-3)/ (-5+5)
-4/10
=-2/5
Using the slope intercept form of the the lint
y = mx+b where m is the slope and b is the y intercept
y = -2/5 x+b
Using one of the point and substitute in for x and y
3 = -2/5 (-5) +b
3 = 2 +b
1 = b
y = -2/5 x +1
The equation of the line passes through the points (0, 1) and (5, -1) will be;
[tex]y = - \dfrac{2}{5}x + 1[/tex]
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (0, 1) and (5, -1).
Now,
Since, The equation of line passes through the points (0, 1) and (5, -1).
So, We need to find the slope of the line.
Hence, the Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 1) / (5 - 0)
m = - 2 / 5
Thus, The equation of the line with slope - 2/5 is,
[tex]y - 1 = - \dfrac{2}{5} (x - 0)[/tex]
[tex]y - 1 = - \dfrac{2}{5}x[/tex]
[tex]y = - \dfrac{2}{5}x + 1[/tex]
Therefore, The equation of a line is [tex]y = - \dfrac{2}{5}x + 1[/tex].
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The variables x and y vary directly. Given the model y = -2x , find the value of x when
y = -16.
a. 8
32
b. 16
d. 64
C.
Answer:
a.8
Step-by-step explanation:
y=-16
-16=-2x
16=2x
x=16/2=8
Multiply and write in standard form:
(2x)(x^2 - 6x + 3)
Show all work for full credit.
2x(x2-6x+3)
4x^3-12x^2+6x
someone pleaseeee answer!!!
Answer:
6.633
Step-by-step explanation:
on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.
in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.