Answer:
x = ±3√58
Step-by-step explanation:
Given
x² - (12 x 36) = 90Solving
x² - 432 = 90x² = 522x² = 9 x 58x = ±3√58Answer:
[tex]x =[/tex] ± [tex]22.85[/tex]
Step-by-step explanation:
Step 1: Multiply 12 * 36
[tex]x^2 - (12 * 36) = 90[/tex]
[tex]x^2 - 432 = 90[/tex]
Step 2: Add 432 to both sides
[tex]x^2 - 432 + 432 = 90 + 432[/tex]
[tex]x^2 = 522[/tex]
Step 3: Square root both sides
[tex]\sqrt{x^2} = \sqrt{522}[/tex]
[tex]x =[/tex] ± [tex]22.85[/tex]
Answer: [tex]x =[/tex] ± [tex]22.85[/tex]
Pat was in fishing competition at lake Pisces
Answer:
Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !
Step-by-step explanation:
Have a good day!
5 What is the perimeter? use 3,14
(4pts.)
for pi.
bun
Ilin
What is the total area? use 3.14 for pi.
Show ur work 30 points
Answer:
I don't understand the instructions, but I'll answer the question in the picture.
The angle next to 52 is vertical to y, so, 90-52=y.
Thus, y=38
Describing the Graph of a Polynomial Function 2.) Use the function: f(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function. c) Describe the end behavior of the graph.
Answer:
The end behavoir is no solution
Step-by-step explanation:
The reason for this is because if you solve the graph the graph will show no end point
Jerome's favorite Harry Potter book has 222222 chapters, 500500500 pages, and approximately 100{,}000100,000100, comma, 000 words. He's curious how many of the words are "made up" words or names that don't exist in the dictionary.
He wants to take a systematic random sample of about 500500500 words to estimate what percent of the words in the book are made up.
Which of these strategies will accomplish his intended design?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Randomly select one of the first 202020 words and every 20^\text{th}20
th
20, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.
(Choice B)
B
Randomly select one of the first 200200200 words and every 200^\text{th}200
th
200, start superscript, start text, t, h, end text, end superscript word thereafter for the sample.
(Choice C)
C
Randomly select 232323 words from each chapter.
(Choice D)
D
Randomly select 111 word from each page.
(Choice E)
E
Assign every word a number and use a computer to randomly select 500500500 numbers with no repeats
Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:
B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.
He will choose 500 words out of 100,000, hence the value of k is given by:
k = 100000/500 = 200.
Which means that option B is correct.
More can be learned about sampling concepts at https://brainly.com/question/25122507
Answer:
B
Step-by-step explanation:
khan
Which expression is equivalent to 2x- 3(y- 2x
Answer:
The answer is 8x-3y hope this helps!
Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr
Answer: 6.8571 (Round as needed)
Hope this is correct
Step-by-step explanation:
This is a simple ratio problem
Using the similarity statement we can say 14:12, (ab:pq)
That is our ratio.
So we do 14/12 = 8/x, we solve this using algebra to get our answer.
Hope this is correct.
A pair of shoes usually sells for $63. If the shoes are 40% off, and a sales tax of 7% is applied to
the discounted cost, what is the total price of the shoes, including tax? Round your answer to
the nearest penny
A.$37.08
B.$40.45
C.$40.82
D.$42.2
Answer: 40.45 or B
Step-by-step explanation:
63 x 0.6(100%-40%) = 37.8
37.8 x 1.07 = 40.446
40.446 rounded is
40.45
In a answered math the problem [tex]\sqrt{-2}[/tex] plus [tex]\sqrt{-18}[/tex] was [tex]4\sqrt{2i}[/tex] as it was rewritten as [tex]\sqrt{2i} + \sqrt{18i}[/tex]. Why can [tex]\sqrt{-2}[/tex] be written as[tex]\sqrt{2i}[/tex]
[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]
What is the value of the expression? Show your work.
Answer:
343
Step-by-step explanation:
Given :
[tex]\frac{7^{12}*7^{9} }{(7^{6})^{3} }[/tex]Numerator
7¹² × 7⁹7²¹Denominator
(7⁶)³7¹⁸Fraction
Numerator/Denominator7²¹/7¹⁸7³343I need help with this question is six grade
Answer:
108
Step-by-step explanation:
I just divided! Hope this helps
Enter the correct answer in the box.
If x≠0, what is the sum of 4^3vx^10 + 5x^33v8x in simplest form?
Step-by-step explanation:
Check out the attached photo. Leave a comment if something's confusing.
There are 15 students on the debate team. Four will attend the debate. How many groups of four can be selected from the 15 students?
Answer: 1365
Step-by-step explanation:
The graph below shows the cost, in
dollars, per notebook at the school store.
Which equation represents the total cost, T, per n notebooks?
Answer:
t = 2.4n
Step-by-step explanation:
y = mx + c
t = mn + c
c = y-intercept (where the graph line crosses the cost line)
c = 0
mx/mn= gradient ( rise/run, up/across)
mn= 12/5 ( you could have picked any point in the graph )
mn= 2.4
the m is unnecessary now so we discard it
t = 2.4n + 0
A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling. The store offers a 30% discount with the purchase of three or more bottles of the detergent. Showing all work, determine the total cost, before tax, of three bottles of detergent. (10 points)
Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.
What is a proportion?A proportion is a fraction of a total amount.
A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:
P = 4.40 x 1.25 = $5.50.
The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:
T = (3 x 5.50) x 0.7 = $11.55.
More can be learned about proportions at https://brainly.com/question/24372153
which situation could the expression 1/4 divided by 3 represent
But the question is, how much did she spend?
Step-by-step explanation:
To solve this problem, we must first find the value of one quarter, which in decimal, is 0.25Next, find how many quarters are in 3 that can make one quarter.For this situation, all you must do is multiply 3 by 0.25, and you get 0.75, which is 3/4. The equation looks like the one below.[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]
With that information, the problem is solved. In this story problem, Lily must pay 0.75 cents for that can of soda.________________________________________________________
Questions?Ask me in the comments box.
pls help on math pla
Answer:
Slope: -1/2
y-intercept: 7
Step-by-step explanation:
The slope is the interger/number in front of x in a linear equation.
y-intercept is the constant after the slope, 7, which is the value of y when x is 0.
Answer:
equation: y=mx+b
b=y intercept
the y intercept is 7
the slope is -1/2
4. The method of completing the square was used to solve the equation 2x^2 - 12x + 6 = 0. Which equation is a
correct step when using this method?
A. (x - 3)^2 = 6
B. (x - 3)^2 = -6
C. (x - 3)^2 = 3
D. (x - 3)^2 = -3
Pls help
Answer: B
Step-by-step explanation: I hope it helps if not your welcome to get a tutor
The requried correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.
What is simplification?Simplifying an expression involves eliminating unnecessary variables, components, or processes using algebraic and mathematical principles. The goal is to obtain an expression that is easier to use, manipulate, or solve.
Here,
To solve the quadratic equation 2x² - 12x + 6 = 0 using the method of completing the square, we can follow these steps:
Divide both sides by the coefficient of x^2 to make the coefficient of x² equal to 1:
x² - 6x + 3 = 0
Add and subtract the square of half the coefficient of x:
x² - 6x + 9 - 9 + 3 = 0
Factor the first three terms:
(x - 3)² - 6 = 0
Add 6 to both sides:
(x - 3)² = 6
Therefore, the correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.
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7. Wally invests $5,000 in a CD that earns 4% per year. Eqn:
Answer:
5000(1.04)^x, x is # of years
Solve for x show work
3(2x-5)=4x+33
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]
[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
Answer:
[tex]\fbox{X = 24}[/tex]
Solution:
Given expression ➟ 3(2x-5) = 4x + 33,
using distributive property open the above bracket,
➳ 3×2x - 3×5 = 4x + 33
Using BODMAS solve the L.H.S,
➳ 6x - 15 = 4x + 33
now arrange the like terms aside,
➳ 6x - 4x = 33 + 15
➳ 2x = 48
➳ x = 48/2
➳ x = 24
the given expression is true for x = 24
Thanks for joining brainly community!
i need help with this quick pls
Answer:
[tex]\left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]
Step-by-step explanation:
[tex]x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right][/tex]
[tex]y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right][/tex]
To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.
[tex]2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]
Which of the states in the table below has the least area?
State Population in 2020 Population Density (people/mi?) Indiana 6,785,528 186.32 Mississippi 2,961,279 61.14 Iowa 3,190,369 56.69 Arizona 7,151,502 62.74
Indiana
Mississippi
Iowa
Arizona
According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.
How to read the table?The table shows the population density of some states in which the number of people and the area of that state are mentioned.
Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.
On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.
Learn more about area in: https://brainly.com/question/11952845
Does anyone know the answer to this?
Answer:
Excuse me, Where is the question??
The table represents the metric volume measure of a liter. Each amount is represented by its power of 10.
A 2-column table with 5 rows. Column 1 is labeled Unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. Column 2 is labeled Power of 10 with entries 10 Superscript negative 2, 10 Superscript 0, 10 squared, 10 cubed, 10 Superscript 6.
Complete the work to determine how many times larger a megaliter is than a hectoliter.
1. Divide powers:
106
102
2. Expand each power:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
3. Divide common factors:
10 • 10 • 10 • 10 • 10 • 10
10 • 10
4. Simplify.
A megaliter is
times larger than a hectoliter.
The megaliter is 10,000 times larger than a hectoliter
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
1 mega liter = 10⁶ Liter
1 hectoliter = 10² Liter.
Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter
Find out more on equation at: https://brainly.com/question/2972832
Step-by-step explanation:
Answer:
10,000
Step-by-step explanation:
Got it right on the assignment.
The graph shows a proportional relationship between pounds of aluminum and money earned from recycling.
The table below shows the amount of money that is earned from recycling copper.
Chose a Answer
You earn the same per pound for aluminum and copper
You earn more per pound recycling aluminum than copper.
You earn more per pound recycling copper than aluminum.
Not enough information to draw conclusions.
Answer: You earn more per pound recycling copper than aluminum.
Step-by-step explanation:
ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY
Answer:
42.63mm²
Step-by-step explanation:
Base times height:
8.7 times 4.9 is 42.63mm².
So
Area:-
[tex]\\ \rm\rightarrowtail lw[/tex]
[tex]\\ \rm\rightarrowtail (8.7)(4.9)[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{87}{10}\times \dfrac{49}{10}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{4963}{100}[/tex]
[tex]\\ \rm\rightarrowtail 49.63mm^2[/tex]
What is the distance between the points (-1, 8) and (4.8) in the coordinate plane?
To find the distance between any points:
⇒ we must know the distance formula
⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]
[tex](x_{1} ,y_{1} )[/tex] --> (-1,8)[tex](x_{2} ,y_{2} )[/tex] --> (4,8)Let's Solve:
Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5
Thus the distance between the points is 5
Hope that helps!
Albert had a goal of saving $80. He saved 115% of his goal. How much money did Albert save
Answer:
$92
Step-by-step explanation:
Which of the following numbers CANNOT represent the probability of an event?
A. -0.5
B. 1
C. 0
D. 0.675
The number that can not represent the probability of an event is -0.5.
Option A is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The probability of an event always lies between 0 and 1 (inclusive), where 0 represents an impossible event and 1 represents a certain event.
Therefore, any number outside this range cannot represent the probability of an event.
Probabilities are always non-negative values between 0 and 1 (inclusive). The value 0 represents an impossible event, meaning that the event cannot occur.
The value 1 represents a certain event, meaning that the event will definitely occur. Any value between 0 and 1 represents the likelihood that the event will occur, where a value closer to 0 represents a low probability and a value closer to 1 represents a high probability.
Negative numbers cannot represent probabilities since probabilities are always non-negative values between 0 and 1.
Thus,
The number that can not represent the probability of an event is -0.5.
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Ali had 2600 pens, he gave away 1547 pens, how many pens does he have left now?
2600 pens.
to find:the remaining pens Ali have after giving 1547 away.
solution:2600 - 1547
= 1053
so, Ali has 1053 pens with him.
Ali has 2600 pens.
to find:the amount of pens Ali has left after he gave away 1547 pens.
solution:subtract 2600 from 1547.
[tex]2600 - 1547[/tex]
[tex] = 1053 \: pens[/tex]
hence, Ali has 1053 pens left with him after giving 1547 pens away.
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x = 0.8
Step-by-step explanation:
For this problem we will be using trigonometry :