[tex]i = \sqrt{-1}\\\\\\\sqrt{-80} = \sqrt{-1*16*5}\\\\\\\sqrt{-80} = \sqrt{-1}*\sqrt{16}*\sqrt{5}\\\\\\\sqrt{-80} = i*4*\sqrt{5}\\\\\\\sqrt{-80} = 4i\sqrt{5}\\\\\\[/tex]
Mr & Mrs Brown bought a new kitchen table for $450 it was 75% of the original price determine the original price of the kitchen table
plss help mee
Show your work plss not just the answer
If two people share one soda, how much of the soda should each person get?
Answer:
1/2 of the soda:) sure yan
Answer:
sorry i dont know
Step-by-step explanation:
You have been asked to develop a composite measure of the quality of life on your campus.
1. Outline the social indicators you would use to develop such a measure. Be specific. Explain why you selected these indicators?
2. Now suppose data on your social indicators have been collected over a ten-year period. What might you be able to do with these data?
The social indicators that can be used to know the quality of life in campus are the number of hours spent in school, extra curricular activities, etc.
What are social indicators?It should be noted that social indicators are used to monitor the social system.
The social indicators that can be used to know the quality of life in campus are the number of hours spent in school, extra curricular activities, etc. They're important to assess ones social life.
In conclusion, after necessary data has been collected m, a research can be made to know how the quality of life is affected by the data.
Learn more about indicators on:
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Solve. Use the discount equation
S = R − rR, where S is the sale price, R is the regular price, and r is the discount rate.
An exercise bike is on sale for $320, having been marked down 20% off the regular price. Find the regular price.
Answer:
[tex]\$ 400[/tex].
Step-by-step explanation:
In this question, [tex]S[/tex] (sales price) and [tex]r[/tex] (discount rate) are both given. The unknown is the regular price, [tex]R[/tex].
Rearrange the discount equation to solve for [tex]R[/tex] in terms of [tex]S[/tex] and [tex]r[/tex].
[tex]S = R - r\, R[/tex].
[tex]S = (1 - r)\, R[/tex].
Divide both sides by [tex](1 - r)[/tex]:
[tex]\displaystyle \frac{S}{1 - r} = \frac{(1 - r)\, R}{1 - r}[/tex].
[tex]\begin{aligned}R &= \frac{S}{1 - r}\end{aligned}[/tex].
It is given that [tex]S = 320[/tex]. A mark-down of [tex]20\%[/tex] is equivalent to a discount rate of [tex]r = 20 / 100 = 0.20[/tex]. Substitute in [tex]S[/tex] and [tex]r[/tex] to find the value of [tex]R[/tex]:
[tex]\begin{aligned}R &= \frac{S}{1 - r} \\ &= \frac{320}{1 - 0.2} \\ &= \frac{320}{0.8} \\ &= 400\end{aligned}[/tex].
Thus, the regular price would be [tex]\$ 400[/tex].
An airplane on autopilot took 5 hours to travel 3540 kilometers. What is the unit rate for kilometers per hour?
Answer:
708 km.
Step-by-step explanation:
3540/5=708
Answer:
708 km/h
Step-by-step explanation:
3540 / 5 = 708
An article reported the following data on oxygen consumption (mL/kg/min) for a sample of ten firefighters performing a fire-suppression simulation:
28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1
Compute the following. (Round your answers to four decimal places.)
a. The sample range.
b. The sample variance s2 from the definition
c. The sample standard deviation
d. s2 using the shortcut method.
Answer:
a)Range= 25.9
b)Variance =49.344
c)Standard deviation=7.0245
Step-by-step explanation:
Data : 28.2 49.2 30.9 28.8 28.0 25.9 34.0 29.0 23.8 30.1
Maximum Value : 49.4
Minimum Value : 23.5
Range= Maximum - Minimum
Range= 49.4 -23.5 = 25.9
(b)
[tex]Mean=\bar{x}=\frac{\sum x}{n}=\frac{309.2}{10}=30.92\\\\Variance=s^{2}=\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}=49.344[/tex]
(c) Sample standard deviation:
[tex]s=\sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=7.0245[/tex]
d)s2 using the shortcut method.
X [tex]X^2[/tex]
28.6 817.96
49.4 2440.36
30.3 918.09
28.2 795.24
28.9 835.21
26.4 696.96
33.8 1142.44
29.9 894.01
23.5 552.25
30.2 912.04
Total 309.2 10004.56
[tex]s=\sqrt{\frac{\sum x^{2}_{i}-\frac{\left ( \sum x_{i} \right )^{2}}{n}}{n-1}}\\s=\frac{10004.56-\frac{309.2^{2}}{10}}{9}\\s=7.0245[/tex]
what is the midpoint of AB if A = (-2,2) and B=(3,-1)?
Answer:
Midpoint = [tex](\frac{1}{2},\frac{1}{2} )[/tex]
Step-by-step explanation:
Midpoint formula: [tex](\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )[/tex]Plug in value: [tex](\frac{-2+3}{2} , \frac{2+(-1)}{2} )[/tex]Do the math: [tex](\frac{1}{2} ,\frac{1}{2} )[/tex]plss help mee
Show your work and not just the answer thank you
If two people share three hamburgers, how much should each person get?
If two people shared three hamburgers then each person would get one hamburger and a half. Since there are two people and three hamburgers, both people can get one hamburger and split the third. In decimal form, It would be 1.5
Answer:
The answer is 3 because 6÷2 which equal 3 which is represent the three hameburgers and 6÷2=3 because there would be 6 hamburgers to share between two people.
Convert to find the equivalent rate
840 magazines /week into magazines/hour
Answer:
5 magazines per hour are manufactured
FIRST PERSON TO CORRECTLY ANSWER GETS BRAINLIEST AND A THANK U SO HURRY
Answer:
Statement:
EOB; AOB180°90°2x°30°Reason:
GivenGivenGivenStep-by-step explanation:
x + 2x + 90 = 180
3x + 90 = 180
3x = 90
x = 30°
Answer:
vefgdv
Step-by-step explanation:
fsssssssssssssssssssssss
|b] + b3; b = -2
Evaluate the expression for the given value of the variable.
Answer:
b + b3
-2 + (-2×3)
-2 + (-6)
-2 - 6
= -8
the area of a rectangle is 30 to the square root of 3750 square inches, and the length is 3 to the square root of 250 inches. what is the width of the rectangle?
We are given that:
Area of rectangle is 30√3570Length of the rectangle is 3√250Area of rectangle is given by:
[tex] \implies\quad{\pmb{ \sf{Area = length\times width}} }[/tex]
Hence, putting the values in the formula:
[tex] \implies\quad \sf{ A = l\times w}[/tex]
[tex] \implies\quad \sf{ 30\sqrt{3750}=3\sqrt{250}\times w}[/tex]
[tex] \implies\quad \sf{3\sqrt{250}\times w = 30\sqrt{3750} }[/tex]
[tex] \implies\quad \sf{ w =\dfrac{30\sqrt{3750}}{3\sqrt{250}}}[/tex]
[tex] \implies\quad \sf{ w =10\dfrac{\sqrt{3750}}{\sqrt{250}}}[/tex]
[tex] \implies\quad \sf{ w = 10\times\sqrt{\dfrac{3750}{250}}}[/tex]
[tex] \implies\quad \underline{\underline{\pmb{\sf{ w =10\sqrt{15}}}}}[/tex]
Please answer this correctly without making mistakes
Answer:
The answer is 10 months
Step-by-step explanation:
a chess club has 20 girls and 15 boys. seven of the girls and 7 of the boys in the chess club are also in the math club.
what percent of the students in the chess club are also in math club?
Answer:
40% why? because 20+15=35 that is the total but they are saying 7 boys and 7 girls are in math and chees so is 14 14/35 is 40%
Joyce purchased 84.92 in groceries and gives the clerk $100 bill how much change should the clerk give back to her
Answer:
$15.08
Step-by-step explanation:
When subtract 84.92 from 100 you get 12.08 which is how much he clerk should give back
Answer:
15.08
Step-by-step explanation:
Use the appropriate conversions listed to convert 80 cups into gallons. Round to the nearest hundredth
Answer:
5 gallons
Step-by-step explanation:
You divide the number of cups by 16 to find how many gallons are there in a certain amount of cups.
Write an equation with a slope of -5 And a y-intercept Of 0
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-5}x+\underset{\stackrel{\uparrow }{b}}{0}\implies y=-5x[/tex]
Solve: x2 - 2x + 1 = 4
Please help me
Let's solve your equation step-by-step.
x2−2x+1=4
Step 1: Subtract 4 from both sides.
x2−2x+1−4=4−4
x2−2x−3=0
Step 2: Factor left side of equation.
(x+1)(x−3)=0
Step 3: Set factors equal to 0.
x+1=0 or x−3=0
x=−1 or x=3
Answer:
x=−1 or x=3
what kind of polynomial is -2
Hi! I hope you're enjoying your day!
Here's how we classify polynomials:
Number of termsExponent (degree)More Information:
A polynomial with 1 term is called a monomial (for example, 6d)
A polynomial with 2 terms is called a binomial (for example, 6d+ 2a)
A polynomial with 3 terms is called a trinomial (for example, 6d+2a-4s)
A polynomial with 4 or more terms is called a polynomial
(for example. 6d+2a-4s+3e-t+9k-12a)
Degree: first, second, third.. depends on the exponent.
Hence, -2 is
[tex]\boxed{\boxed{\bold{first-degree\;monomial}}}[/tex]
Hope everything is clear.
Let me know if you have any other questions; if you do, feel free to use the comment section.
#LearningIsFun
Write an inequality for the statement provided :
The cargo of the truck weighs at most 3,000 pounds
Answer: [tex]w \le 3000[/tex]
w is the weight of the truck in pounds.
Since w cannot be negative, we can write [tex]0 \le w \le 3000[/tex] or we could tack on the statement "w must be positive"
The phrase "at most" means "that is the largest w can get". Think of it as the ceiling.
8. A tree on a 30° slope grows straight up. What are the measures of the
greatest and smallest angles the tree makes with the hill? Explain.
The measure of the smallest angle of a tree with a hill is 60°.
The measure of the greatest angle of a tree with a hill is 120°.
Given:
A tree on a 30° slope grows straight up.
To find:
The measures of the
greatest and smallest angles the tree makes with the hill.
Solution:
In figure drawn:
[tex]\angle PQR = 30^o[/tex]
AB= Straight three
Construction:
Draw a parallel line CA to QR through point A.
Now,
[tex]\angle PQR = \angle PAC = 30^o\\\\\angle PAC +\angle PAB = 90^o \text{(Complimentary angles)}\\\\\angle PAB = 90^o -\angle PAC\\\\angle PAB=90^o-30^o=60^o[/tex]
The measure of the smallest angle of a tree with a hill is 60°.
[tex]\angle PAB + \angle BAQ= 180^o\text{(Supplementary angles)}\\\\ \angle BAQ= 180^o-\angle PAB \\\\ \angle BAQ=180^o-60^o=120^oC[/tex]
The measure of the greatest angle of a tree with a hill is 120°.
Learn more about complementary and supplementary angles here:
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3/7 + 5/6 ii) -3/15 x 7
[tex]\frac{53}{42}[/tex]
Step-by-step explanation:Calculate
[tex]\frac{3}{7}+\frac{5}{6}[/tex]
Find common denominator and write the numerators above common denominator
[tex]\frac{3\times6}{7\times6}+\frac{5\times7}{6\times7}[/tex]
Calculate the product or quotient
[tex]\frac{18}{7\times6}+\frac{5\times7}{6\times7}[/tex]
[tex]\frac{18}{42}+\frac{5\times7}{6\times7}[/tex]
[tex]\frac{18}{42}+\frac{35}{6\times7}[/tex]
[tex]\frac{18}{42}+\frac{35}{42}[/tex]
Write the numerators over common denominator
[tex]\frac{18+35}{42}[/tex]
Calculate the sum or difference
[tex]\frac{53}{42}[/tex]
Question #2 Answer[tex]-\frac{7}{5}[/tex]
Step-by-step explanation:Calculate
[tex]-\frac{3\times7}{15}[/tex]
Cross out the common factor
[tex]-\frac{7}{5}[/tex]
I hope this helps you
:)
The mass of the apples harvested from a particular orchard follows a nearly normal distribution with a mean of 94 grams and a standard deviation of 27 grams. What size sample is needed to get a standard error of 3
The sample size needed to get a standard error of 3 is 81
How to determine the sample size?The given parameters are:
Mean = 94Standard deviation = 27Standard error = 3The standard error is calculated using:
[tex]SE = \frac{\sigma}{\sqrt n}[/tex]
So, we have:
[tex]3= \frac{27}{\sqrt n}[/tex]
Divide both sides by 3
[tex]1= \frac{9}{\sqrt n}[/tex]
Square both sides
1 = 81/n
Multiply both sides by n
n = 81
Hence, the sample size needed to get a standard error of 3 is 81
Read more about standard errors at:
https://brainly.com/question/6851971
When a result from a simple is extended to the population
Answer:
You can opt to study the entire population when the population is well defined(Complete sampling frame) and small.
It can eliminate any potential bias occurring through sampling technique, but other than that it is really not justified to consume more resources and time.
1. A certain small factory employs 98 workers. Of these, 10 receive a wage of $150 per day and the rest receive $85.50 per day. To the management, a week is equal to 6 working days. How much does the factory pay out for each week
Answer:hello I'm from Philippines
Step-by-step explanation:
Dana is making a seating chart for an awards banquet. There are 120 people coming to the banquet.If 8 guests can be seated at each table, how many tables will be needed for seating for the awards banquet?
A triangular bandana has an area of 78 square inches. The height of the triangle is 9 3 4 inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base. An equation to find the length of the base of the triangle is 78= The length of the base of the triangle is inches.
Area of triangle = 1/2 x base x height:
78 = 1/2 x base x 9 3/4
Multiply both sides by 2:
156 = base x 9 3/4
Divide both sides by 9 3/4:
Base = 16 inches
Note: enter your answer and show all the steps that you use to solve this promblem in the sentence below.
At the halftime show, a marching band in formation. the lead drummer started a point with coordinates (-2,-5) and move 3 steps up and 1 step right.
A. Write a rule to describe it the translation.
B. What were the coordinates of the drummer's final position?
Answer:
a) The answer is: (x + a, y + b)
b) The answer is: (-1, -2)
The initial coordinates are:
(x, y) = (-2, -5)
Let's find a and b.
a is a distance in x direction: a = 1
b is a distance in y direction: b = 3
The final position is:
(x + a, y + b) = (-2 + 1, -5 + 3) = (-1, -2)
Step-by-step explanation:
Find the value of X
WILL MARK BRAINLIEST IF CORRECT!
Answer:
x = 52
Step-by-step explanation:
This is a picture of a right angle, which is 90 degrees. We should first make an equation to represent this problem.
(x - 12) + 50 = 90
1. Subtract 50 from both sides of the equation.
(x - 12) = 40
2. Add 12 from both sides of the equation
x = 52
The value of x is 52.
Answer:
52°
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Pls help with this it’s easy
If u click there will be pic
Answer:
15, the second one.
Step-by-step explanation:
We can use this proportion:
[tex]\frac{centimeters}{meters}[/tex]
So, in this case:
[tex]\frac{5 centimeters}{20 meters}[/tex]=[tex]\frac{x centimeters}{60 meters}[/tex]
We can cross multiply, resulting in:
[tex]20x = 300 centimeters[/tex]
Divide both sides by 20, resulting in:
[tex]x = 15 centimeters[/tex]