Answer: The value of p and q for which the system of equations represent coincident lines is p = 2 and q = 1.
Step-by-step explanation: To represent coincident lines, the two lines must be proportional. Therefore, the slope of the second line must be equal to the slope of the first line.
The slope of the first line is 3/2. The slope of the second line is p + 2q + 2/p + q + 1. Therefore, we set these two equal:
3/2 = p + 2q + 2/p + q + 1.
Cross multiplying, we get:
3(p + q + 1) = 2(p + 2q + 2).
Simplifying, we get:
3p + 3q + 3 = 2p + 4q + 4.
Combining like terms, we get:
p - q = 1.
Therefore, the value of p and q for which the system of equations represents coincident lines is p = 2 and q = 1.
the diameter of a circle is 9 in . find its area to the nearest tenth.
Answer:
63.6
Step-by-step explanation:
diameter = 9
radius = 9/2= 4.5
Area of circle = 22/7 × radius²
so,
22/7×4.5×4.5 = 63.6428571
if we round off it to nearest tenth it will be = 63.6
the fraction r/s must be equal to which expression
choose 1 answer
a- r - s
b- r + s
c- r x s
d- r ÷ s
–16 − 19f + 10f = –16f − 2
Daddy Dearest (Fnf) Is giving you free point s if you stay away from GF
What do you do?
A grab the points and run for your life
B Grab the coins and kidnap GF
C Rap battle him
D Ask BF to beat him
Answer:
E. Take points and kill GF
Step-by-step explanation:
Answer:
grab the points and rap battle him
Step-by-step explanation:
because why not have a rap battle for the points
I need to factor completely to get an answer for
r²+3r-28
I need to get factors in parenthesis like (r +/- #) (r +/- #)
I need it before tomorrow
Answer:
(r + 7)(r - 4) = 0
Step-by-step explanation:
r² + 3r - 28 = 0
(r + 7)(r - 4) = 0
r = -7, 4
a rectangle has an area of 58.5centimeter square and it is 4.5meter wide find the length
Answer:
0.13 cm ( as question was posted)
13 cm ( if width was in centimeters)
Step-by-step explanation:
a = lw
4.5m = 450cm
Plug in the knowns
58.5 = l(450)
Divide both sides by 450
0.13 = l
length is 0.13 cm
----------------------------
I did the qustion as you posted it.
If you intended 4.5 centimeters instead of 4.5 meters then
58.5 = l(4.5)
divide both sides by 4.5
l = 13 cm
A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.Which of the following is the best interpretation of the probability 0.20 ?
"For all finance workers, 20% will have a tattoo" is the best interpretation of the probability 0.20.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
This can be calculated by taking the number of finance workers with tattoos and dividing it by the total number of finance workers, and then multiplying by 100 to express the result as a percentage.
(Number of finance workers with tattoos / Total number of finance workers) x 100 = 20%.
Here,
"20% of all finance workers will have a tattoo," is the best explanation of the probability 0.20.
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Complete question: A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.
Which of the following is the best interpretation of the probability 0.20 ?
A- For all workers in the United States, 20% will work in finance.
B- For all finance workers, 20% will have a tattoo.
C- For all people with tattoos, 20% will work in finance.
D- For a specific group of 5 finance workers, 1 will have a tattoo.
E- For a specific group of 5 people with a tattoo, 1 will work in finance.
someone help me please !
Answer:
base = √3/2
cos 30 = √3/2
height = 1/2
sin 30 = 1/2
coordinates: √3/2, 1/2
Step-by-step explanation:
See unit circle for reference
PLSSSS HURRY I HAVE A TIME LIMIT MUST SHOW WORK
Answer: XVR: 125 ; RVS: 55 ; WVS: 125 ; RST: 110 ; RSV: 70
Step-by-step explanation:
XVR: XVR is equal to WVS (alternate angles), and WVS plus XVW equals 180° (definition of a straight line)
So, 180° - 55° = 125° (this is the measure of SVW, but remember, SVW is equal to XVR)
RVS: RVS is equal to XVW since they're alternate angles, so we know that RVS is equal to 55°
WVS: We already solved this in the beginning
RST: First, we need to find the measure of RSV. To find the measure of RSV, use the fact that a triangle adds up to 180°. We know that the angle RVS equals 55°, and that angle VRS is also equal to 55°. So, we can use this equation:
RSV = 180° - (55° + 55°)
RSV = 70°
Now that we know RSV = 70°, we can find RST
180 - (RSV + RST)
180 - (70° + RST)
RST = 110°
RSV: We already found this
Sorry, that was a lot. Hope it wasn't too confusing.
Solve the triangle. Round decimal answers to the nearest tenth. Step-by-step solution.
Answer:
y = 9.4
x = 5.7
Step-by-step explanation:
From the given triangle
Opposite to the acute angle is y
Hypotenuse = 11
Angle = 59degrees
using the SOH CAH TOA identity
sin 59 = opp//hyp
sin59 = y/11
y = 11sin59
y = 9.4
Also
Adjacent = x
cos theta = adj/hyp
cos 59 = x/11
x = 11cos59
x = 5.7
Simplify 6/sqr3+2
NEED HELP PLZ!!
Answer:
1.61
Step-by-step explanation:
6/((sqrt3)+2) in a calculator
Answer:
-6(√3 - 2)
Step-by-step explanation:
Which did you mean?
6/[sqr(3) + 2]
or
6/(sqr(3)+2)
or what? Ambiguous unless you use parentheses.
If you meant
6/[sqr(3) + 2]
then rationalize the denominator by multiplying numerator and denominator of the given expression by (√3 - 2):
6(√3 - 2) 6(√3 - 2)
-------------------------- = ----------------- = -6(√3 - 2)
[sqr(3) + 2](√3 - 2) 3 - 4
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
PLS HELP ME IM ABT TO CRY!!!! 100 PTS
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
If Salesman A has exactly ____ sales, he will reach his maximum weekly commission.
Answer:
Sales = 20
Step-by-step explanation:
Simply make the equation "1300 = 65s" to solve the problem
1300 = 65s
Divide both sides by 65.
1300/65 = 65s/65
Divide 1300 by 65 to get 20.
20=s
Swap sides so that all variable terms are on the left-hand side.
s=20
What are two angles on a line called?
Answer:
supplementary angles
Step-by-step explanation:
140 + 40 = 180.
2 + (4-3 (3-6) -4] +12=
Answer: 23
Step-by-step explanation:
X
-1
0
2
f(x)
MKB6223
18
가 2
What is the decay factor of the exponential function
represented by the table?
이를
이를
○ 2
○6
Here, 1/3 is halfway between 0 and 1. The exponential function supplied has a decay factor of 1/3 as a result.
How do you find the decay factor of an exponential function?An exponential function's basic form is:
[tex]$$y=a b^x$$[/tex]
Where an is the starting value, b>1 is the growth factor, and 0b1 is the decay factor.
the point through which the exponential function passes (0,6). In I if x=0 and y=6, we obtain
[tex]$$\begin{aligned}& 6=a b^0 \\& 6=a(1) \\& 6=a\end{aligned}$$[/tex]
the point through which the exponential function passes (1,2). Substituting [tex]$x=1, y=2, a=6$[/tex] in (i), we get
[tex]$$\begin{aligned}2 & =6(b)^1 \\2 & =6 b \\\frac{2}{6} & =b \\\frac{1}{3} & =b\end{aligned}$$[/tex]
Here, [tex]$^{b=\frac{1}{3}}$[/tex] between 0 and 1 is located. The provided exponential function's decay factor is thus [tex]$\frac{1}{3}$[/tex].
Therefore the correct answer is 1/3 .
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The cross-sectional shape of the archway of a bridge (measured in feet) is modeled by the
function ƒ(x) = -0. 5x2 + 6x where ƒ(x) is the height of the arch and x is the horizontal
distance from one side of the base of the arch. How wide is the arch at its base? Will a box truck
that is 8 feet wide and 13. 5 feet tall fit under the arch? If not, what is the maximum height a
truck that is 8 feet wide and is passing under the bridge can be
The width of the arch at its base can be found by setting ƒ(x) = 0 and solving for x. This gives x=12 feet.
What is horizontal distance?Horizontal distance is the length of a straight line between two points, measured only in the horizontal direction. It is typically measured in units such as kilometres, meters, miles, or yards.
No, the box truck will not fit under the arch. The height of the arch at a horizontal distance of 8 feet is ƒ(8) = -0. 5(8)2 + 6(8) = 4 feet, which is less than the height of the truck (13. 5 feet).
The maximum height a truck that is 8 feet wide and is passing under the bridge can be is ƒ(8) = 4 feet.
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5.07 - 2.148
????????????
Answer:
Step-by-step explanation: 2.922
Answer: 2.922
Step-by-step explanation: (Look at the attachment for the best experience, or idea) So, as you can see in the attachment below, we first need to line up the decimal points with one another. They subtract in line with the other decimals and borrow. As we know, our answer is 2.922.
Lloyd's Llamas has $3,241.77 in liabilities and $12,457.12 in owner's equity. If the accounting equation is in balance, Lloyd's has $_______ in assets.
The number of asset is 15.698.89
How to calculate the number of asset ?
Assets = liabilities + equity
liabilities= 3,241.77
equity= 12,457.12
Assets= 3,241.77 + 12,457.12
= 15.698.89
Hence Lloyd has 15.698.89 number of assets
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Tickets for all of the described charity raffle games cost $2 per ticket .identify the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200
Answer: To determine the games in which a person who buys a ticket for each game every day for the next 400 days could expect to lose less than a total of $200, we need to find the games in which the probability of winning is greater than the probability of losing.
Since the tickets for all of the games cost $2 per ticket, the probability of winning any given game is equal to the prize money divided by the ticket cost. For example, if the prize money for a game is $10, the probability of winning is $10/$2 = 1/2.
If the probability of winning a game is greater than the probability of losing, the expected value of the game is positive, which means that the person can expect to win more than they lose over time. On the other hand, if the probability of winning is less than the probability of losing, the expected value of the game is negative, which means that the person can expect to lose more than they win over time.
Therefore, to determine which games the person could expect to lose less than $200 in total, we need to find the games in which the prize money is greater than $2 per ticket.
Step-by-step explanation:
Using a table of values, what is the approximate positive solution to the equation to the nearest quarter of a unit? f(x)=log(x+2) g(x)=4^x-1
Answer:
The answer is 0.25 for plato/edmentum users
Step-by-step explanation:
The x-intercept/zero for function f is x= -1 and the x-intercept/zero for function g is x= 0, therefore, the closest positive value out of the options is 0.25 sense the problem wants the functions to equal around the same value. Tbh I suck at math and idek if my explanation is right I really just guessed on the problem. Here's a ss for proof that my answer's right tho lol p.s. if ur 15-19 amos: kenz8124 Have a great day :)
The positive solution to the equation is 0.21
The functions are given as:
[tex]f(x) = \log(x + 2)[/tex].[tex]g(x) = 4^x - 1[/tex].The tables are not given. So, we make use of graphs
Graphs of f(x) and g(x)See attachment for the graph that represents functions f(x) and g(x).
From the attached graph, we can see that the curves of both functions intersect at x = 0.214.
Approximate the above value of x
[tex]x =0.21[/tex]
Hence, the positive solution to the equation is 0.21
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I'm bad at math so uh yeahhh
Answer and Step-by-step explanation:
Since we know that lines l and m are parallel (we are just proving that they are parallel), we can see that the two angles given are corresponding angles, so they are congruent to each other.
123 = 2x + 7
Subtract 7 from both sides.
116 = 2x
Now, divide both sides by 2.
58 = x
So, the value of x is 58.
#teamtrees #PAW (Plant And Water)
What are the like terms in 3x 3 2y and 2 XY x2?
The like terms in 3x (3 - 2y) and 2 (xy + x²) are -6xy and 2xy.
3x (3 - 2y) = 3x * 3 - 3x * 2y = 9x - 6xy2 (xy + x²) = 2 * xy + 2 * x² = 2xy + 2x²What are like terms in math equations?Like terms are terms which have the same variables and exponents. In this case, the like terms are -6xy and 2xy because they both have the same variable (xy) and exponents (1). In algebra, like terms can be added or subtracted to simplify an expression. Like terms are terms which have the same variables and exponents.
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A picosecond in one trillionth of a second. How many picoseconds are there in 12 minutes?
Answer:
720,000,000,000,000 or 720 trillion picoseconds.
Step-by-step explanation:
1 picosecond = 1 trillionth of a second. Therefore 1 second has 1 trillion picoseconds:
0.000 000 000 001 seconds = 1 picosecond
0.000 000 000 001 * 1,000,000,000,000 seconds = 1 * 1,000,000,000,000 picosecond
1 second = 1,000,000,000,000 picoseconds
Now, one minute is the same as 60 seconds so we multiply the equation by 60:
1 minute = 60 seconds = 60,000,000,000,000 picoseconds
Finally, we need 12 minutes to be converted to picoseconds.
12 minutes = 720 seconds = 720,000,000,000,000 picoseconds.
So therefore, 12 minutes is equal to 720,000,000,000,000 picoseconds or 720 trillion picoseconds.
Hope this helps!!!
Which number is closest to the
point on the number line?
A) -7/3
B) 16/11
C) 3/7
D) -5/5
Answer:
B. 16/11
Step-by-step explanation:
16/11 as a mixed number is 1 6/11. This is closest to 1 1/2 on the number line. The other negative numbers (-7/3, -5/5) are on the negative end on the spectrum so they are immediately eliminated. 3/7 doesn't have a whole number and therefore is not as close as 16/11 is to the point.
Please help!Don’t under stand. 6th grade math
In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 8 times out of 10 attempts. tasha has hit the ball 9 times out of 12 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.75 < 0.8 tasha, because she has the highest ratio since 48 over 60 is greater than 45 over 60 jana, because she has the lowest ratio since 0.75 < 0.8 jana, because she has the highest ratio since 48 over 60 is greater than 45 over 60
Answer: Jana
Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60
I did the test
3. XY has an equation of x = 8. What is the equation, in point-slope form, of a line that is
perpendicular to XY and passes through (6, 9)?
(i'm looking for an explanation)
Answer: y=9
Step-by-step explanation:
Plug in (6,9) into the slope intercept form equation:
9=0(6) +b
Then get
9=b
When you make the equation you would end up with:
y=0x+9
which simplifies to y=9
4^{2} ÷ (2^{3} ÷ ((-1) · (9 (-5))))
Answer: -45
Step-by-step explanation:
16 divided by 8 = 2
2 divided by -1 = -2
-2 * (9(-5) = -45
Answer:
90
Step-by-step explanation:
2^4dived(2^3divide((-1)x(-45)))
2^4divide(2^3divided45)
2^4dived 2^3/45
2^4dived 8/45
2^4divied 45/8
2^4 divied 45/2^3
2+45
=90
Hope this help
1/4 gallon of paint costs $8. 99. What is the unit price of one gallon of paint?
The unit price of one gallon of paint is going to be $35.96.
We can use the unitary method to solve this problem. The unitary method is a technique used for solving a problem by first finding the value of a single unit, and finding the necessary value by multiplying the single unit value.
In this question, it is given that 1/4 gallon of paint costs $8.99 so for 1 gallon we will have to multiply both the paint amount and the money which buys it to 4 which will conclude that 1 gallon costs $8.99 × 4 is equal to $35.96. So, 1 gallon of paint will cost $35.96.
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if you toss a coin and let it fall to the floor what is the probability it lands with heads face up
Answer:
1/2
Step-by-step explanation:
PROBABILITY: THE LIKELIHOOD OF AN EVENT.
When you toss a coin, there are only two outcomes: heads or tails.
Therefore, the probability of the coin landing face-up would be 1 in 2 or 1/2.