Answer:
=5xy−9x−9y+7
Step-by-step explanation:
Let's simplify step-by-step.
−6x+5xy−9y−3x+7
=−6x+5xy+−9y+−3x+7
Combine Like Terms:
=−6x+5xy+−9y+−3x+7
=(5xy)+(−6x+−3x)+(−9y)+(7)
=5xy+−9x+−9y+7
Answer:
=5xy−9x−9y+7
a car starts from a point at 2:00 p.m. and travels north at 40 mph. another car starts from the same point at 3:00 p.m. and travels west at 50 mph. after the second car has traveled 1 h, at what rate is the distance between the two cars changing?
The distance between the cars changes by 60.42mph.
What is distance?Distance is a measurement of how far apart two objects or locations are. Distance in physics or common language can refer to a physical length or an assumption based on other factors. |AB| is a symbol that can be used to represent the distance between two points. "Distance from A to B" and "Distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for elements of some space to be "close to" or "far away" from each other in mathematics. It is a generalization of the idea of physical distance. Through dimensions like time, space, and isolation, an object may be psychologically distanced from itself.
Calculations:
\(d=\sqrt{80^{2}+50^{2} } \\\)
d=94.34
1st car -- 40mph/hr
2nd car-- 50 mph/hr
The positions of cars at 4pm
Distance travelled by 1st car = 80m
Distance travelled by 2nd car = 50m
\(d^{2}=a^{2} +b^{2}\)
2d.dd/dt=2a(da/dt) +2b(db/dt) =d(dd/dt) =a(da/dt)+b(db/dt)=94.34(dd/dt)=50*50+80*40
dd/dt=(2500+3200)(94.34) =60.419
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A ski resort makes snow using a snow fan that costs $1200. The fan has an average daily operation cost of $9.50. Write a simplified expression that represents the cost to purchase and opperate 6 snow fans. Use the variable d to represent the number of days that the resort operates the fans
Answer:
1200*6=7200
9.50*6=57
7200 + 57= 7257
7257d
when a study sample shows representativeness, what can be concluded about the study? group of answer choices the study results show evidence of sampling bias the study used strict inclusion and exclusion criteria to limit the sample size the study is most likely not generalizable because the sample was obtained using specific inclusion criteria. the study is most likely generalizable, with results that can be applied to the target population
When a study sample is representative of the target population, it allows for the results to be generalizable, meaning they can be applied to the broader population.
This is an important aspect of research, as it ensures the study's findings are relevant and useful beyond the specific sample studied.
When a study sample shows representativeness, it means that the sample accurately reflects the characteristics of the target population.
In this case, the study is most likely generalizable, with results that can be applied to the target population.
To achieve representativeness, researchers often use random sampling techniques, which help minimize the potential for sampling bias.
Sampling bias occurs when certain groups within the target population are over- or under-represented in the sample, which can lead to inaccurate conclusions.
In contrast, if a study used strict inclusion and exclusion criteria to limit the sample size or relied on specific inclusion criteria, it could result in a sample that is not representative of the target population.
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b) The monthly income of A is double than that of B and the monthly income of B is treble than that of C. If the total income of three persons is Rs 80,000, find monthly income of each of person.
Answer:
A = Rs 48,000
B = Rs 24,000
C = R2 8,000
Step-by-step explanation:
To solve this problem, create and solve a system of linear equations using the given information.
From the given information:
If the monthly income of A is double than that of B, then A = 2B.If the monthly income of B is treble than that of C, then B = 3C.If the total income of three persons is Rs 80,000, then A + B + C = 80000.Therefore, the system of linear equations is:
\(\begin{cases}A=2B\\B=3C\\A+B+C=80000\end{cases}\)
Substitute the second equation into the first to create and equation for A in terms of C:
\(\begin{aligned}A &= 2B\\&=2(3C)\\&=6C\end{aligned}\)
Substitute this and the second equation into the third equation and solve for C:
\(\begin{aligned}A+B+C&=80000\\6C+3C+C&=80000\\10C&=80000\\C&=8000\end{aligned}\)
Now that we have found the monthly income of person C, substitute this value into the expressions for A and B to calculate the monthly incomes of persons A and B:
\(\begin{aligned}A &=6C\\&=6(8000)\\&=48000\end{aligned}\)
\(\begin{aligned}B &=3C\\&=3(8000)\\&=24000\end{aligned}\)
Therefore, the monthly income of each person is:
A = Rs 48,000B = Rs 24,000C = R2 8,000Michael thought he could only run five laps around the track but he was actually able to run eight laps what was his percent error
Answer:
Rounded percent error = 38% So, Michael's percent error was 38%.
Step-by-step explanation:
Rounded percent error = 38% So, Michael's percent error was 38%.
solve the picture (: ill give brainlist if correct (:
Answer:
The answer for your question is A) 1/3
Step-by-step explanation:
as both 21 are like terms you can just add up 3 & 4 and do division
(would appreciate it if you could mark me the brainliest:))
\( \frac{3}{21} + \frac{4}{21} \)
to find:the simplest form.
solution:\( \frac{3 + 4}{21} \)
\( = \frac{7}{21} \)
\( = \frac{1}{3} \)
hence, the correct answer is option A.
Tening ha a clothe budget for $100 for chool. He plan to buy a pair of jean for $49 and ome hirt for 19. 59. Write an inequality that how how many hirt he can buy and tay under hi budget
He Can buy 2 shirts and stay under budget
Inequality can be viewed from different perspectives, all of which are related. Most common metric is Income Inequality, which refers to the extent to which income is evenly distributed within a population. Related concepts are lifetime Inequality (inequality in incomes for an individual over his or her lifetime), Inequality of Wealth (distribution of wealth across households or individuals at a moment in time), and Inequality of Opportunity (impact on income of circumstances over which individuals have no control, such as family socioeconomic status, gender, or ethnic background).
49 + 19.59x ≤ 100
x ≤ ( 100-49)/19.59
x ≤ 2.603
He Can buy 2 shirts and stay under budget.
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Charlie's eraser has a mass of 20 grams. How many milligrams does his eraser weigh?
Answer:
20,000 milligrams
Step-by-step explanation:
20 grams x 1000= 20,000 milligrams
To get grams to milligrams, you multiply by 1,000
The root word milli- means 1,000
what part of an hour is 45 minutes
DIG DEEPER Solve the
compound interest
r nt
= P(₁ + ² ) "²₁
n
formula y = P1+
for P.
P =
The compound interest is given by the equation CI = Amount - Principal , where A = P ( 1 + r/n )ⁿᵇ
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the principal amount be represented as P
Let the time period be represented as t = b
Let the number of periods the interest is applied be n
And , the rate of interest be r
Substituting the values in the equation , we get
The amount after b years is calculated by the formula
A = P ( 1 + r/n )ⁿᵇ
On simplifying the equation , we get the amount after b years
And , the compound interest is given by
CI = A - P , where A is the amount and P is the principal
Hence , the compound interest is solved
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For every 7 push-ups Dulce can do, Sara can do 6. If Ducle did 28 push-ups during gym class, how many push-ups did sara do?
The number of push-ups did sara did during gym class if for every 7 push-ups Dulce can do, Sara can do 6 is 24 push ups.
How to solve ratio?Number of push ups Dulce can do : number of push ups Sara can do
Let
number of push ups Sara does = x
7 : 6 = 28 : x
7/6 = 28/x
cross product
7 × x = 28 × 6
7x = 168
divide both sides by 7
x = 168/7
x = 24
Therefore, Sara does 24 push ups during the gym class.
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A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form
Answer:
\(y=3x+5\)
Step-by-step explanation:
The problem is asking for slope-intercept form, luckily, they gave us both of those things.
Slope-intercept form: \(y=mx+b\), where \(m=\) slope and \(b=\) y-intercept.
So,
\(y=3x+5\)
Hope this helps!
Answer:
221
Step-by-step explanation:
211321
Translate each of these quantifications into English and determine its truth value.
a) ∀x∈R (x2 = −1)
b) ∃x∈Z (x2 = 2)
c) ∀x∈Z (x2 > 0)
d) ∃x∈R (x2 = x)
Truth values (a) False (b) False (c) False (d) True
Here is the translation of these quantifications into English and determine its truth value. a) ∀x∈R (x^2 = -1)
Translation: For all x belonging to the set of real numbers, x squared equals -1.
Truth value: False. No real number squared can equal a negative value.
b) ∃x∈Z (x^2 = 2)
Translation: There exists an x belonging to the set of integers such that x squared equals 2.
Truth value: False. No integer squared can equal 2.
c) ∀x∈Z (x^2 > 0)
Translation: For all x belonging to the set of integers, x squared is greater than 0.
Truth value: False. When x equals 0 (x=0), x squared equals 0, which is not greater than 0.
d) ∃x∈R (x^2 = x)
Translation: There exists an x belonging to the set of real numbers such that x squared equals x.
Truth value: True. There are two real numbers that satisfy this condition: x=0 and x=1.
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ABC is a triangle and PQ is parallel to BC.
BC = 12.6 cm, PQ = 8.4cm and AQ = 7.2 cm.
Find AC.
(i know that parallel lines divide triangle sides proportionally, but can someone do a detailed step on AC)
Which of the following scenarios represents a constant rate of change and shows a multiplicative relationship?
The correct answer is 'Maura earns $12 per hour for babysitting her 3 nieces'
Here, we want to select which of the options show a multiplicative relationship.
The correct answer is G
Maura earns $12 per hour for babysitting her 3 nieces
Why this shows a multiplicative relationship is that given the number of hours which she babysat, we can find the amount she earned
Hence there is a multiplicative relationship between the amount of money she earns and the number of hours for which she has worked
you buy a car for 16000 but the total price is 16600 what is the tax percentage rate
Answer:
3.5
Step-by-step explanation:
what is 2x3x4x2x88x9x112x100x9x2?
;)
Answer:
7664025600
Step-by-step explanation:
I basically just multiplied first then added the sums. Also you can use a calculator to make sure ur answer is right.
FIND THE LENGTH OF SEGMENT AB HELP
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
Answer:
y= -2x+3....…........
A new disease has been observed, and experts believe that 1% of the population have it. A test is developed that has 95% true positive rate (it identifies 95% of people with the disease as "positive") and 1% false positive rate (it misidenfies 1% of people without the disease as "positive"). If Alice tests positive and the experts are right on the population prevalence, what is the probability that Alice has the disease (up to 2 decimal places)?
If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.
In the given question, a new disease has been observed, and experts believe that 1% of the population have it.
A test is developed that has 95% true positive rate and 1% false positive rate.
From the given data,
Let E be the event that a patient has a disease and F be the event that a patient has tested positive.
Then according to Bayes' theorem we have,
P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')
P(E/F) = (1*95)/(1*95)*(99*1)
P(E/F) = 95/194
P(E/F) = 0.489 (approx.)
Hence, the probability that Alice has the disease 0.489.
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Faith only read 60 % of her goal for one week how would the mean median and mode have changed if she had met her goal. explain
The Faith had met her goal for the week, her mean would have increased, but we can't say how the median and mode would have changed without more information.
If Faith had met her goal for the week, the mean, median, and mode would all be affected differently. Let's assume that Faith's goal for the week was to read 100 pages.The mean, also known as the average, is calculated by adding up all the values and dividing by the number of values. If Faith only read 60% of her goal, that means she read 60 pages out of 100. To find the mean, we would add up all the pages she read for the week and divide by 7 (the number of days in a week).
So, her mean for the week would be (60/7) = 8.57 pages per day. If she had met her goal, her mean for the week would have been 14.28 pages per day ((100/7) = 14.28). Therefore, her mean would have increased if she met her goal.
The median is the middle value when all the values are put in order. In this case, we don't know how many pages Faith read each day, so we can't calculate the median without that information.
The mode is the value that appears most frequently. If Faith read 60 pages for the week, there is only one value, so the mode would be 60. If she had met her goal, there would be more than one value, so the mode would be different. Again, we would need to know how many pages she read each day to calculate the mode.
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S is a subset within a universal set, U
If S = {x, y, 4, 9, ?}, which could
describe U?
U = {keys on a keyboard}
U = {letters}
U = {numbers}
U = {punctuation marks}
The solution is, U={ keys on a keyboard}, could describe U .
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
Here, we have,
S is a subset of U,
so all of the elements of S must be also elements of U
If U was {letters}, 4, 9, ? would not belong there
If U was {numbers }, x, y, ? would not belong to U
If U was {punctuation marks }, 4, 9, x, y would not be in U
all the elements of S are in U={ keys on a keyboard}
Answer: U={ keys on a keyboard}, could describe U.
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ONCE AGAIN HELP PMEEEEE PLSS ON THISSSSSSSS
Step-by-step explanation:
3. is A x^2 -6x -7
4. is C 7x^2 - 4x + 2
7 B
8 A
9 D
Answer:
\(question3. \: x {}^{2} - 6x - 7 \\question4. \: 7x {}^{2} - 4 x + 2 \\ question7. \: x {}^{2} - 6x + 5 \\ question8.\: 7x {}^{2} - 7x - 8 \\ question9.\: - 2x + 9\)
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeehelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
0.9358
Step-by-step explanation:
I need to have it in proof and Note: quadrilateral properties are not permitted in this proof.
Triangles
Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.
Triangle BAC has the same base as Triangle DAC
Therefore, the vertices of the angle B is equivalent to the vertice of angle D
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!!!!!PLEASEE HELP VIEW PICTURE!!!!
Find the value of ?.
The options are 61.5, 123, 246, 57
Answer:
123°
Step-by-step explanation:
Since, measure of minor arc is equal to the measure of its corresponding central angle.
Measure of central angle = 123°
So,? = 123°
What is the value of x in the matrix equation below?
3
8
х
10
Х
-2
3
5
-1
6
-7 -4
0 -1
ОО
1
Answer:
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
Step-by-step explanation:
The value of x in the matrix is 1.
Option D is the correct answer.
What is a matrix?Matrix is a form of writing items in rows and columns.
We have,
From the matrix addition, we can write as,
-2x + 3 = x
Now,
Combining the like terms.
-2x - x + 3 = 0
-3x = -3
Dividing 3 into both sides.
-x = -1
x = 1
Thus,
The value of x in the matrix is 1.
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a-7=3 (b+2)
a=?
Please don't attach a link with the answer write you answer out please
Answer:a=3
Step-by-step explanation:
Answer:
a = 3b + 13
Step-by-step explanation:
a - 7 = 3 (b+2)
a - 7 = 3b + 6
a = 3b + 13
can someone solve n/7-12=5n+5 step by step pls
Answer:
n=-7/2 I hate asking for things but can i have brainliest im trying to rank up.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
n/7−12=5n+5
1/7n+−12=5n+5
1/7n−12=5n+5
Step 2: Subtract 5n from both sides.
1/7n−12−5n=5n+5−5n
-34/7n−12=5
Step 3: Add 12 to both sides.
-34/7n−12+12=5+12
-34/7n=17
Step 4: Multiply both sides by 7/(-34).
(7/-34)*(-34/7n)=(7/34)*(17)
5x + y = 2 what is x and y equal to
The sentence that translates the linear equation 5 · x + y = 2 is: The sum of five times x plus y equals 2.
How to interpret a linear equation
Herein we find the mathematical definition of a linear equation of the form a · x + b · y = c, where a, b, c are real coefficients. This equation must be translated into human language, that is, a complete sentence in order to respond this question. Therefore, the expression can be translated as follows:
5 · x + y = 2: The sum of five times x plus y equals 2.
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