Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.
Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.
Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.
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a. Convert 5x^2 + 55x + 140 from standard to vertex form
b. Describe the transformation.
Answer:
The transformation will be 5
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
5x^2 + 55x + 140 ---> required
Coefficients a=5, b=55, c=140 yield
[tex]h=\frac{-h}{2*a} =\frac{-(55)}{2*5} =\frac{-55}{10} =-5.5[/tex]
Thus, the x-coordinate of the vertex is [tex]\boxed{h = -5.5 }[/tex]
Plugging x=-5.5 into the given equation yields:
[tex]k=5*(-5.5)^{2} +55*-5.5+140=-11.25[/tex]
Thus, the y-coordinate of the vertex is [tex]\boxed{k = -11.25 }[/tex]
Altogether, the vertex of the given parabola is
[tex]\boxed{ (h,k)=(-5.5,-11.25) }[/tex]
Plugging (h,k)=(−5.5,−11.25) into the vertex formula
[tex]\boxed{ y=(x-h)^2+k }[/tex]
yields the vertex form of the parabola
[tex]\boxed{ y=(x+5.5)^2-11.25 }[/tex]
To find the vertex of a parabola in standard form, first, convert it to the vertex form y=a(x−h)2+k y = a ( x − h ) 2 + k .A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 20.18 and 24.96 minutes. What is the margin of error in this report
Answer:
The study, The Nature of Americans National Report, found that more than half of adults reported spending five hours or less in nature each week, and being satisfied with this small amount of time spent outdoors.
Step-by-step explanation:
The margin of error in the report is 2.39.
What is the margin of error?The margin of error is a statistic that describes how much random sampling error there is in survey data.
Given that, the upper interval is 24.96 and the lower interval is 20.18.
The margin of error is half of the difference between the upper and the lower interval.
Therefore, the margin of error is:
Margin of error = (24.96 - 20.18)/2
= 4.78/2
= 2.39
Hence, the margin of error in the report is 2.39.
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Solve the system of inequalities and indicate all the integers which are in the solution set: The answer isn't an inequality like -5
Answer:
{- 4, - 3, -2, -1, 0, 1, 2, 3}Step-by-step explanation:
Solve each inequality in the system:
3 - 2a < 13 ⇒ 2a > 3 - 13 ⇒ 2a > - 10 ⇒ a > - 55a < 17 ⇒ a < 17/5 ⇒ a < 3.4The solution is:
- 5 < a < 3.4The integer solution set is:
{- 4, - 3, -2, -1, 0, 1, 2, 3}[tex]\\ \rm\rightarrowtail 3-2a<13[/tex]
[tex]\\ \rm\rightarrowtail -2a<10[/tex]
[tex]\\ \rm\rightarrowtail -a<5[/tex]
[tex]\\ \rm\rightarrowtail a>-5[/tex]
And
[tex]\\ \rm\rightarrowtail 5a<17[/tex]
[tex]\\ \rm\rightarrowtail a<17/5[/tex]
[tex]\\ \rm\rightarrowtail a<3\dfrac{2}{5}[/tex]
So
solution set
[tex]\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)[/tex]
So
a={-4,-3,-2,-1,0,1,2,3}In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74
•
B. 0.12
• C. 0.26
• D. 0.48
Answer:
the answer is C. 0.26
Step-by-step explanation:
Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0
So you subtract 1.0 from 0.74 to get 0.26
Your friend leaves your house. She later calls you on her cell phone, saying that she's been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?
Answer: 1hr
Step-by-step explanation: Distance = speed × time
Time = Distance / Speed = 60/60
y=3x-7
-4x+5y=20
solve algebraically
Answer:
so x=5 and y= 8
Step-by-step explanation:
[tex]y = 3x - 7 \: \\ 20 = - 4x +5y \\ 20 = - 4x + 5(3x - 7) \\ 20 = - 4x + 15x - 35 \\ 20 + 35 = 11x \\ 55 = 11x \\ x = 5 \\ now \: you \: put \: x = 5 \: into \: the first \: equation \: \\ 5 \\ y = 3(5) - 7 \\ y = 8[/tex]
name the two operations used for converting weight measurement
Answer:
grams and kilograms it got delted for some reason
Step-by-step explanation:
You fill the entire fish tank with water. Then you dump out some of the water. The volume of the water in the tank decreases by 96 cubic inches. How deep is the water now? (The height is 12 inches, the base is 48)
Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
I hope this helps
Jina makes eight dollars for each hour of work. Write an equation to represent her total pay ‘p’ after working ‘h’ hours
Answer:
p = 8h
Step-by-step explanation:
Simple math my guy
Answer:
p=8h
Step-by-step explanation:
For each hour, she gets paid $8. So the total pay would be the number of hours multiplied by 8.
Donnie lives 3 miles from the park . He rode his bicycle from his house to the park at a constant speed of 9 miles per hour. How long did it take Donnie to get to the park?
Answer:
20 minutes, or 1/3 hour
Step-by-step explanation:
Donnie travels at 9 miles/hr.
The relationship between speed, distance, and time is Time = Distance/Speed. [from Distance = Speed*Time]
Time to bike 3 miles at 9 miles/hr is = (3 miles)/(9 miles/hr) = (1/3) hr
It took 1/3 hour, or 20 minutes, to bike the three miles, with no stops for soda and hot dog.
PLEASE HELP W PRECALC QUESTION
Answer: [tex]2tan(theta)[/tex]
Step-by-step explanation:
I know this is pre-calculus, but I want to let you know what this is actually used for in real calculus. This is a method of integration called "u-substitution" which tranforms the function of 'x' into a function of 'theta'. If we allow the value of 'x' to equal 2sec(theta), we can plug this into the function to get:
[tex]\sqrt{x^2-4} =\sqrt{(2sec(theta)^2-4} =\sqrt{4sec^2(theta)-4}[/tex]
Factor out a 4 to get:
[tex]\sqrt{4(sec^2(theta)-1)}[/tex]
Take the square root of 4 to get a 2 on the outside of the radical:
[tex]\sqrt{4(sec^2(theta)-1)}=2\sqrt{sec^2(theta)-1}[/tex]
Use the trig identity below to convert the secant to tangent:
[tex]tan^2(theta)+1=sec^2(theta)[/tex]
[tex]tan^2(theta)=sec^2(theta)-1[/tex]
Therefore our expression becomes:
[tex]2\sqrt{sec^2(theta)-1}=2\sqrt{tan^2(theta)}[/tex]
The square root of tangent is simply tangent:
[tex]2\sqrt{tan^2(theta)} =2tan(theta)[/tex]
An event has a probability of 2/7. How would you best describe the likelihood of this event? (Hint: Change it to a decimal)
A. Impossible
B. Less likely
C. Equally likely
D. More likely
E. Certain
Answer:
Less Likely
Step-by-step explanation:
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
Therefore, the answer must be B, Less Likely.
It happens less than half the time, but can at times happen.
Hope this helps!
The solution is, Less Likely, best describe the likelihood of this event.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
given that,
An event has a probability of 2/7.
now, we get,
A 2/7 probability means that it will happen less than half the time.
The eliminates equally likely, more likely, and certain as those are 50% or greater.
The probability is also greater than 0%, so it's not "impossible"
It happens less than half the time, but can at times happen.
Therefore, the answer must be B, Less Likely.
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CHOOSING BRAINLIEST PLEASE HELP
Answer:
The answer is the 2nd 1
Step-by-step explanation:
It's a basic graph
Xavier opened a savings account with a deposit of $12,000. the account earned simple interest. he did not make any additional deposits or withdrawals. at the end of 3 years, the account balance was $12,324. what is the annual interest rate on this account? question 5 options: 0.9% 1.8% 2.7% 3.6%
Answer:
0.9%
Step-by-step explanation:
I took the test
Give full working and explanation
And I reward you with stars.
Answer this easy question ;-)
Answer:
1309 marbles
Step-by-step explanation:
Kadon has 727 marbles.Simon has: 727 - 145 = 582 marblesAll together:
Kadon marbles + Simon marbles727 marbles + 582 marbles1309 marblesRoger has a rope that is 3 feet long.He needs to cut it into 12 equal length pieces.How many feet loń should each piece of the rope be?
Answer:
0.25
Step-by-step explanation:
3/12 is 0.25
3 divided by 12 when simplified or reduced
The fraction 3/12 is equal to the exact decimal number.
Hi, I’m doing some review and I just wanted to know if I am on the right track with PEMDAS.
Answer:
yes ur on track
Step-by-step explanation:
Can someone help me understand on how to simplify this ?
Answer:
So first you have to make all the denominaters (bottom #s) the same so we would get 12/20-8/20+5/20 and you would solve this to equal 9/20 and to divide it by 1/6 would equal 2 7/10.
Hope this helps! (pls read the comment for free gift cards)
help me!
[tex]\frac{x}{3}+10=\frac{3x-8}{2}[/tex]
Answer:
[tex] \frac{x}{3} + 10 = \frac{3x - 8}{2} \\ \\ \frac{3x - 8}{2} - \frac{x}{3} = 10 \\ \\ taking \: lcm \\ \\ \frac{9x - 24 - 2x}{6} = 10 \\ \\ 9x - 24 - 2x = 60 \\ \\ 7x = 60 + 24 \\ \\ 7x = 84 \\ \\ x = \cancel\frac{84}{7} \\ \\\fbox{ x = 12}[/tex]
hope helpful ~
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex] \frac{x + 30}{3} = \frac{3x - 8}{2} [/tex]
[tex]2x + 60 = 9x - 24[/tex]
[tex]60 + 24 = 9x - 2x[/tex]
[tex]84 = 7x[/tex]
[tex]x = 12[/tex]
I hope it will be helpful
In which quadrant is the point (4, -5)? II I IV III
Answer:
Quadrant IV
Step-by-step explanation:
You can easily find in which quadrant a point lies using this key :
Quadrant I = (+ , +)Quadrant II = (- , +)Quadrant III = (-, -)Quadrant IV = (+, -)We have the coordinate (4, -5)
x-coordinate is positivey-coordinate is negativeIt lies in Quadrant IVAnswer:
Quadrant IV
Step-by-step explanation:
The Cartesian plane is divided into 4 quadrants.
Quadrant I is the top right quadrant, where x and y are positive.
We then move in a counterclockwise direction for quadrants II, III and IV.
Therefore:
Quadrant I: (x, y)Quadrant II: (-x, y)Quadrant III: (-x, -y)Quadrant IV: (x, -y)As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV
divide the sum of 39 and product of 18 and 6 by the difference of 50 and 14
Answer:
the imino acid found in protein strcjure
help me find the area please
Answer:
I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.
probabiltity of 8 and 23
Answer:
huh
Step-by-step explanation:
Find the square number
5
8
15
30
36
which type of function describes her total savings after m months and why?
Answer:
A.
Step-by-step explanation:
I would advise finding the difference between 300 and 200 and 450 and 300:
[tex]300-200=100\\450-300=150[/tex]
We can eliminate C and D since she saves 100 the first month and 150 the second month.
The next step would be to find the increase every month:
[tex]\frac{Final value}{initial value}=x\\\\\frac{300}{200}=1.5 \\\\\frac{450}{300} = 1.5[/tex]
If we would write the increase as a function, we would get:
[tex]y= 1.5x[/tex]
we can check this by substituting values:
[tex]y=1.5*200\\y=300\\\\\\y=1.5*300\\y=450[/tex]
An exponential function looks like this:
[tex]y= a^x[/tex]
A linear function looks like this:
[tex]y=mx+b[/tex]
Our m is 1.5, a linear increase by 150% and our b is 0, which can be written like:
[tex]y=1.5x+0\\y=1.5x[/tex]
Therefore our function resembles a linear function more than an exponential function, eliminating answer B.
work out
3/7 + 9/11
Give your answer as an improper fraction
Answer:
60/77 the answer is not able to be an improper fraction
Step-by-step explanation:
3/7+9/11
33/77+27/77
60/77
Write a congruence statement for the pair of triangles shown.
Answer:
Triangle UTS is congruent to Triangle RST.
Step-by-step explanation:
When stating congruence, the corresponding angles and sides must be listed in order. In triangle uts, based on the points, the angle is U, and the side is US. This means that for the other triangle, the first point needs to be the angle, and the last one needs to be the other point for the side. This gives us Triangle UTS is congruent to triangle RST. Hope this helps!
HELPPPP WHATS THE AREA
Answer:
the answer is 42
Step-by-step explanation:
you multiply the sides to get the area
Two concentric circles are of radii 10 cm and 8 cm, then the length of the chord of the larger circle which touches the smaller circle is
Answer:
12 cmStep-by-step explanation:
Let O be the centre of the circle of radii 10 cm and 8 cm.
In given figure,
AP = PB and OP⊥AB
Applying Pythagoras theorem in ∆OPA, we get
↠ OA² = OP² + AP²
↠ (10)² = (8)² + AP²
↠ 100 = 64 + AP²
↠ 100 - 64 = AP²
↠ 36 = AP²
↠ √36 = AP
↠ 6 = AP
Now,
↠ AB = 2AP
↠ AB = 2(6)
↠ AB = 12 cm
Hence,
The length of the chord of the larger circle 12 cmPlease help me with this question .
2 ÷ 9/10 =
Answer:
20/9
Step-by-step explanation:
2/1–>20/10 x 10/9
200/90 / 10
20/9
Hope that helps. :)
[tex]2 \div \frac{9}{10} [/tex]
solution:[tex] \frac{2}{1} \div \frac{9}{10} [/tex]
[tex] = \frac{2}{1} \times \frac{10}{9} [/tex]
[tex] = \frac{2 \times 10}{1 \times 9} [/tex]
[tex] = \frac{20}{9} or2 \frac{2}{9} [/tex]