Answer:
y = -[tex]3^{2}[/tex] + 7x - 2
Step-by-step explanation:
-9-2= -11
y = -11 +7x
+11
y+11 = 7x
/7
1.57142857143= x
Kindly help me with this question. (Chapter - Complex Numbers)
Answer:
z1(z2 + z3) = z1 z2 + z1 z3 ⇒ verified down
Step-by-step explanation:
∵ z1 = 4 + 3i
∵ z2 = 3 - 2i
∵ z3 = i + 5
→ Find the left side
∵ z1(z2 + z3) = (4 + 3i)[3 - 2i + i + 5]
∴ z1(z2 + z3) = (4 + 3i)[(3 + 5) + (-2i + i)]
∴ z1(z2 + z3) = (4 + 3i)(8 - i)
∴ z1(z2 + z3) = (4)(8) + (4)(-i) + (3i)(8) + (3i)(-i)
∴ z1(z2 + z3) = 32 - 4i + 24i - 3i²
→ Remember that i² = -1
∴ z1(z2 + z3) = 32 - 4i + 24i - 3(-1)
∴ z1(z2 + z3) = 32 - 4i + 24i + 3
→ Add the like terms
∴ z1(z2 + z3) = (32 + 3) + (-4i + 24i)
∴ z1(z2 + z3) = 35 + 20i
→ Find the right side
∵ z1 z2 + z1 z3 = (4 + 3i)(3 - 2i) + (4 + 3i)(i + 5)
∴ z1 z2 + z1 z3 = [(4)(3)+(4)(-2i)+(3i)(3)+(3i)(-2i)] + [(4)(i)+(4)(5)+(3i)(i)+(3i)(5)]
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6i²] + [4i + 20 + 3i² + 15i]
→ Replace i² by -1
∴ z1 z2 + z1 z3 = [12 -8i + 9i -6(-1)] + [4i + 20 + 3(-1) + 15i]
∴ z1 z2 + z1 z3 = [12 -8i + 9i + 6] + [4i + 20 - 3 + 15i]
→ Add the like terms
∴ z1 z2 + z1 z3 = [12 + 6 + 20 - 3] + [-8i + 9i + 4i + 15i]
∴ z1 z2 + z1 z3 = 35 + 20i
∵ The left side = 35 + 20i
∵ The right side = 35 + 20i
∴ The left side = the right side
∴ z1(z2 + z3) = z1 z2 + z1 z3
Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *
y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4
Answer:
y=2x-4
Step-by-step explanation:
Parallel lines have the same gradient.
The gradient of this line is 1/2.
All the equation the have a gradient of 1/2 accept for the last one.
A scientist is measuring the temperature change in a chemical compound. The temperature dropped 11 degrees Fahrenheit per hour from the original temperature. After 4 hours, the temperature was 90 Degree Fahrenheit. Find the compound’s original temperature.
Answer:
4 * 11 = 44 --> 44+ 90 = 134
Step-by-step explanation:
CAN YOU HELP ME PLEASE
Answer:
just doing this for the gram
Step-by-step explanation:
say hi
Help please number 19
Answer:
A.4
Step-by-step explanation:
Median is the middle meaning 6th grade got 4 more hours then the 8th graders
Answer:
B-2.5
Step-by-step explanation:
Because the median for the first one is 5 and the median for the second one is 7.5 and 7.5-5=2.5
What is 0.8 as a fraction???? Plz answer is u r right I’ll give u brainliest!!!!
#IfWrongPleaseReport
#StudyTogetherWithMe
#ILoveMath
Answer:
the answer is 4/5
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 10. then reduce the
fraction.
David has 574 cereal bars that he wants to fit in bags of 10 and bags of 8. The number of bags of 8 is 2 more than the number bags of 10. How many bags of 8 and 10 can david pack the cereal bar into
Answer: lol have the same question
Step-by-step explanation:
Plz help
6y+2(y+1)
Distributive Property and Fractions
6y^2 + 6y + 2y + 2 = 6y^2 + 8y + 2
The way you do this is basically multiplying the values in the brackets with 6y, and then adding that to the same values multiplied by 2.
a car traveled 23 miles in 15 minutes. how many miles per hour was it traveling?
Answer:
1.53333... mph
Step-by-step explanation:
Well, if you want to figure out the speed (miles per hour), all you need to do is divide the distance by the time. In this case, the distance is 23 miles, and the time is 15 minutes. 23/15= 1.53333...
Hope this helps!! Have an amazing day c:
The speed of the car with given distance and time is 92 miles per hour.
Given that, a car traveled 23 miles in 15 minutes.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
We know that, speed = Distance/Time
Here 15 minutes = 15/60
= 1/4 hours
Now, speed = 23 ÷ 1/4
= 23 ×4
= 92 miles per hour
Therefore, the speed of the car with given distance and time is 92 miles per hour.
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Please Help!!!! Please please help me it’s not hard but I don’t know how!!
Answer:
Step-by-step explanation:
1
180-72=108
108-82=26
x=26
2
1580-30=150
150-82=68
x=68
Multiply. Write your answer as a fraction in simplest form.
3
6x
22
Please help and by the way the question is 6 x 3 over 22 (fraction)
Answer:
9/11
Step-by-step explanation:
(6 × 3)/22
18/22 = 9/11
Solve the following equation: 9x-14=22
Answer:
x=4
Step-by-step explanation:
9x=36, divide both sides by 9
Answer:
Step-by-step explanation:
9x=22+14
9x=36
x=36/9
x=4
It will be nice if you give me brainliest. Good luck!
Answer all parts please.
Answer:
no
Step-by-step explanation:
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multiply. Express your answer in the simplest form
A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes.
Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total
Answer:
Step-by-step explanation:
Given that:
There are 600 residents in the survey.
And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.
The objective is to construct a two by two table from the given data:
Diabetes
Yes No Total
Smoking
Yes 157 230 - 157
= 73 230
No 50 370 - 50 600 - 230
= 320 = 370
Total 157 + 50 320+ 73
= 207 = 393 600
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1380 ft tall?
Order the following
rational numbers from least
to greatest
-3/4, 2.5, 0, -0.80, 5/3
Answer:
-0.80, -3/4, 0, 5/3, 2.5
Step-by-step explanation:
mental math again 60x40x2
Answer:
the answer is 4800
Answer:
What is mental math?
Mental math is definitely what it sounds like—doing math in your head. But it’s also more nuanced than that. Being good at mental math tricks doesn’t mean that you’re able to solve 8974387 x 396 in your head instantly; while cool, that wouldn’t be very practical for daily life. So what does mental math mean?
It really just means being able to calculate in your head. It doesn’t mean you can solve every type of problem every time, nor is it a skill that you either “have” or “don’t have”; it’s a skill that you can learn, practice, and improve so that you can solve a bigger range of problems. And mental math certainly doesn’t have to be entirely in your head, either. Jotting down the numbers you need to remember to give you a head start (no pun intended), or writing down your solutions at each “step,” does not negate the “mental”-ness of the math.
Is mental math useful?
Ask this question again next time you’re trying to figure out a tip or doing any kind of construction or home improvement project! And, in addition to handy practical uses, knowing how to do mental math can also just keep your brain sharp and curb your reliance on calculators. Because, come on, doesn’t it feel good to reach for a calculator only to realize, “Wait, I don’t need it!” and figure out the answer in your head? (Spoiler: It does!) Not to mention knowing how to mentally solve small, simple math problems can save you some steps and help you out if you do need to solve a more complicated, difficult problem. There are always going to be some math problems that it would be silly to not solve with a calculator, but, yes, mental math is useful. And if you’re wondering if math itself is useful, math lessons you’ll actually use in real life.
Step-by-step explanation:
You can buy 3 apples at the City Market for $1.20. You can buy 5 of the same apples at Shop and Save for $2.10. Which place is the better buy?
Answer:
Shop and save
Step-by-step explanation:
Answer:
You can buy 5 of the same apples at Shop and Save for $2.10.
Step-by-step explanation:
HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944
Answer:
C
Step-by-step explanation:
Ed2021
The missing coefficient of xy² is 972, option C is correct.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³
To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.
According to the binomial theorem, the expansion of (a + b)^3 is:
(a + b)³ = a³ + 3a²b + 3ab² + b³
Comparing this with the given polynomial, we can see that a = 9x and b = -2y.
Substituting these values in the binomial theorem, we get:
(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³
Simplifying this expression, we get:
729x³ - 1,458x²y + 972xy² - 8y³
Therefore, the missing coefficient of xy² is 972, option C is correct.
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z=b+ m/a, solve for a
Im dumb help its for a math asighnme t i keep gettinh wrong ignore my spelling this
Laggy
Answer:
B
Step-by-step explanation:
40-30= 10
10/40 = 1/4 or 25%.
Please help
Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)
Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is unknown.
13 meters
14 meters
200 meters
208 meters
Answer: 14 meters
Step-by-step explanation:
Pythagorean Theorem formula = a^2 + b^2 = c^2
8^2 + 12^2 = c^
64 + 144 = 208
Now find the square root of 208 = 14.422
Answer:
You answer is 24! hope yhis helps
Step-by-step explanation:
can you please help me
Answer:
14
Step-by-step explanation:
because they are just reflected that's why 12 and 8 are flipped and have a great day
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow:
87 91 86 82 72 91
60 77 80 79 83 96
Required:
a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
b. Develop a point estimate of the standard deviation for wine scores received by this pinot noir (to decimals).
Answer:
a
[tex]\= x = 82 [/tex]
b
[tex]s = 9.64 [/tex]
Step-by-step explanation:
From the question we are told that
The data is 87 91 86 82 72 91 60 77 80 79 83 96
Generally the point estimate for the mean is mathematically represented as
[tex]\= x = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x = \frac{87 +91 + 86 + \cdots + 96}{12}[/tex]
=> [tex]\= x = 82 [/tex]
Generally the point estimate for the standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{ \sum ( x_i - \= x )^2 }{ n -1 } }[/tex]
=> [tex]s = \sqrt{\frac{ ( 87 - 82 )^2 +( 91 - 82 )^2 + \cdots + ( 96 - 82 )^2 }{ 12 -1 } }[/tex]
=> [tex]s = 9.64 [/tex]
Part(a): The required mean is 82
Part(b): The required standard deviation is 9.639
Mean:
The mean is one of the measures of central tendency.
Part(a):
The formula for finding the mean is,
[tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
Now, calculating the mean for the [tex]n=12[/tex] observation
[tex]\bar{x}=\frac{87+91+86+82+72+91+60+77+80+79+83+96}{12}\\ \bar{x}=82[/tex]
Part(b):
The formula for the standard deviation is,
[tex]S=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1} }[/tex]
Substituting the given values into the above formula we get,
[tex]S=\sqrt{\frac{((87-82)^2+(91-82)^2)+(86-82)^2+(82-82)^2+(72-82)^2+(91-82)^2+(60-82)^2+(77-82)^2+...+(96-82)^2}{12-1} } \\S=9.639[/tex]
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The Lewis family dined at a restaurant. Their bill came to $52, and they plan on leaving a 19% gratuity. This means that the total amount they will pay is 119% of the bill.
write model expression to show how much longer the round-trip to san diego is than the round trip to san jose. how many term does the expression have
Answer:
Product of 6 and a number. y÷9.
In the figure, mZ2 = 3(x+15) and m23 = 24°. Find x.
3
5
6
8
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*(x+15)*23-(24)=0
Step by step solution :
STEP
1
:
Equation at the end of step 1
(3 • (x + 15) • 23) - 24 = 0
STEP
2
:
Equation at the end of step 2
69 • (x + 15) - 24 = 0
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
69x + 1011 = 3 • (23x + 337)
Equation at the end of step
4
:
3 • (23x + 337) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : 23x+337 = 0
Subtract 337 from both sides of the equation :
23x = -337
Divide both sides of the equation by 23:
x = -337/23 = -14.652
Step-by-step explanation:
Find the mean of these numbers:
2,57, 38, 42,6
Answer:no
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
add all of those numbers and divide it by the value of how many numbers there are in total.
bruh please, i beg...........................
Answer:
the answer is B
Step-by-step explanation:
Answer:
B, y = (x+2)^2+3
Step-by-step explanation:
Hi adenpetkowski, well to solve this problem we need to find the equation, so since a vertical parabola have equation of y = a(x-h)^(2)+k, where (h, k) is the vertex, we can use this formula to find the equation for the parabola, so since the vertex is (-2, 3) assuming it's lattice points, the formula now is y = a(x+2)^2+3, next, we can find a by taking a point from the parabola, say, (-1, 4). We then substitute the y and x to find that 4=a(1)^2+3, and we can find that a = 1. so the Formula is y=(x+2)^2+3. B