Solving the system of equations, it is found that a viable time that the trains are side by side is given by:
B. 15 sec
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.
In this problem, the equations are:
[tex]y = 14t^2[/tex]
[tex]y = 130t + 1200[/tex]
They will be side by side when:
[tex]14t^2 = 130t + 1200[/tex]
[tex]14t^2 - 130t - 1200 = 0[/tex]
It's solution is a quadratic function with coefficients a = 14, b = -130, c = -1200, hence:
[tex]\Delta = (-130)^2 - 4(14)(-1200) = 84100[/tex]
[tex]x_1 = \frac{130 + \sqrt{84100}}{28} = 15[/tex]
[tex]x_2 = \frac{130 - \sqrt{84100}}{28} = -5.71[/tex]
Time is a non-negative measure, hence option B is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
Answer:
B: 15 sec
Step-by-step explanation:
I took the algebra exam
Possible or impossible?
The difference is 3.
The difference is also
-3.
please help!!!!! i will give brainliest!
Answer:
Option 1 and 4
Step-by-step explanation:
Which number does point A represent?
А
-3
-2
to
2
Loi
0 -3.5
3
y-2.5
0 2.5
03.5
Answer:
A represents -2.5.......
Answer:
-2.5
Step-by-step explanation:
<------3, -2.5, -2, -1.5, -1, -0.5, 0, 0.5, 1, 1.5, 2, 2.5, 3 ---->
When it's negative on the number line the value of a number gets smaller. When it's positive the value gets bigger.
I hope this helps!
if 5/8 of the 40 seeds sprouted how many seeds did not sprout
Answer:
15
Step-by-step explanation:
[tex]since \: \: \frac{5}{8} \times 40 \\ = 25[/tex]
[tex]those \: that \: did \: not \: sprout \: would \: be \\ \: equals \: to \: 40 - 25 \\ = 15[/tex]
Triangle ABC has side lengths 12, 16, and 20. Do
the side lengths form a Pythagorean triple?
Explain.
Answer:
no they dont form a Pythagorean triple
Step-by-step explanation:
a2 + b2 = c2
what is equivalent to 2^5
Answer:
Step-by-step explanation:
2⁵ = 2*2*2*2*2
= 32
7x^2+16-8
Solve using the Quadradic Formula, and round to the nearest hundredth as needed.
Someone please help-
Answer: 0.45 and -2.74
Step-by-step explanation:
You're going to want to use the Quadratic Formula, so (-b±√(b^2-4ac))/2a.
When you plug in you should get -16 ± √16^2-4(7)(-8)/2(7)
-16± √(256+224) all divided by 2 x 7 or 14
(-16 ± 22.3607)/14
0.45 and -2.74 are your answers
What is the volume of a hemisphere with a diameter of 8.9 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
Formula for volume of hemisphere;
V = 2/3 * π * [tex]r^{3}[/tex]
π - pi, which is 3.14 or 22/7
r = radius (half of the diameter/ 1/2 x diameter)
Since we are given the diameter, we find 1/2 of the diameter to find the radius.
1/2 x 8.9(diameter)
8.9/2 = 4.45 is our radi.
So now, we plug in this value into our equation.
V = 2/3 * π * [tex]r^{3}[/tex]
V = 2/3 * 22/7 * 4.45^3
V = 2/3 * 22/7 * 88.12
V = 2/3 * 276.95
V = 184.63 cubic centimetres.
Vic has 14 coins in nickels and quarters the value of this coins is 1.70 how many quarters does he have
Answer:
4 quarters
Step-by-step explanation:
4 quarters = $1
14 nickels = $0.70
Round each decimal to the nearest tenth.
A. 1.65
B. 1.83
C. 2.17
D. 2.42
Step-by-step explanation:
1.7
1.8
2.2
2.4
The other person got no 1 wrong take note
U is the midpoint of TV and S is the midpoint of RT.
If RV=w and SU=w–30, what is RV?
Answer:
60
Step-by-step explanation:
By the triangle midsegment theorem, 2(SU)=RV.
2(w-30)=w, meaning w=60.
So, RV=60 as well
The middle school will lose some of its funding if 50 or more students move away in any year. The principal claims he only loses about 30 students a year. Do the values in the table support his claim? Explain.
Find the value of x to the nearest tenth.
26.2
26.3
80.8
1,530
Answer:
x = 26.3
Step-by-step explanation:
There are three trigonometric rules that this question will apply to, they are:
[tex]Sin\theta\frac{opp}{hyp} Cos\theta\frac{adj}{hyp} Tan\theta\frac{opp}{adj}[/tex]
Where opp is the length of the side opposite to angle Φ, hyp is the hypotenuse of the triangle and adj is the length of a side adjacent to angle Φ.
In the provided picture, angle Φ has been provided alongside the hypotenuse with the opposite side length needing to be calculated. A trig function that includes all three of these must be used. The only one that does have all three is sin, ergo it is what we will use.
In the current equation form, the subject is incorrect and need to be changed so that it becomes the opposite side.
[tex]Sin\theta = \frac{opp}{hyp}\\ opp = sin\theta \cdot hyp[/tex]
Plug the known values in:
[tex]x = Sin(18\textdegree) \cdot 85\\x = 0.3090169 \cdot 85\\x = 26.266\\x = 26.3[/tex]
Hope this helps!
i want answer
step by step
process by process
who will give correct answer i make him as a brainlists
(Assuming all these lines are parallel to each other)
Angle x = 70, because it is corresponding to the 70 angle.
Angle y = 70, because it is corresponding to x
Angle z = 70, because angle z and angle y are alternate angles
(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)
Devon’s favorite applesauce recipe calls for 2 teaspoons of cinnamon for every 3 apples. There is a proportional relationship between the number of apples
Answer:
3x=2y
Explanation:
There is a proportional relationship between the number of apples and teaspoons of cinnamon that is 3x = 2y.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that Devon’s favorite apple sauce recipe calls for 2 teaspoons of cinnamon for every 3 apples.
Now, let x be the number of apple and y be the teaspoons of cinnamon
the proportion are;
x/2 = y/3
Therefore, the proportional relationship between the number of apples and teaspoons of cinnamon is
3x=2y
More can be learned about proportions at;
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#SPJ2
you buy a fancy 5 year eco light bulb for $9.79. How much does this light bulb cost you per year
explain of how you got the answer for this work
Answer:
Mariah's investement is growing faster
Step-by-step explanation:
Here to find the rate at which the savings are growing at, we have to observe the slope of the line which describes the line representing the savings of each as a function of time.
The slope of a line is given by the relation;
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Where m is the slope.
(x1,y1) is any point on the curve.
(x2,y2) is any other point on the curve.
Let's start of with Mariah by picking any 2 points from the table.
(0,150)
(1,159)
[tex]m(mar) = \frac{159 - 150}{1 - 0} = \frac{9}{1} = 9[/tex]
Let's move on to Mauricio's line and choose 2 points that lie on that line.
(0,190)
(1,195.7)
[tex]m(mau) = \frac{195.7 - 190}{1 - 0} = \frac{5.7}{1} = 5.7[/tex]
By looking at both slopes, we see that Mariah's growth rate (slope) 9>Mauricio's growth rate (slope) which is 5.7
I WILL GIVE BRAINLIEST! PLEASE HELP ME!
needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.
now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.
well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.
if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.
A board game that normally costs $30 is on sale for 25 percent off. What is the sale price of the game?
$22.50
$27.50
$32.50
$37.50
Answer:
22.50
Step-by-step explanation:
25% of 30 is 7.50
30-7.50 is 22.50
Answer: A: $22.50
Step-by-step explanation:
The original price of the game, $30, is 100%.
If the game if 25% off, then it will be, (100 - 25), 75% of its original price.
All we need to do is 75% x 30:
0.75 x 30 = 7.5 x 3 = $22.50
So your answer is A: $22.50
Which answer us correct????
Answer:
the one you click is correct.
Step-by-step explanation:
Please help me! There is a picture!
Hey there!
In order to multiply fractions, all we should do is multiply the numerator of the first fraction times the numerator and the denominator of the first fraction times the denominator of the second one:
[tex]\bold{\displaystyle\frac{2}{7} x\frac{1}{3} }[/tex]
Multiply 2 times 1 and 7 times 3:
[tex]\boxed{\boxed{\bold{\displaystyle\frac{2}{21} }}}[/tex] (Final Answer)
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
[tex]\rule{200}{2}[/tex]
What does x equal 5x+2=16
Answer:
X = 2.8
Step-by-step explanation:
5x+2=16
5x=16-2
5x=14
x=14÷5
x=2.8
Hope that helps!
Which expression shows how to find the quotient of 4.8÷2?
A. (4÷2)+(0.8÷2)
B.(4÷2)+(0.08÷2)
C. (0.4÷2)+(8÷2)
D. (0.04÷2)+(0.8÷2)
*I will mark you brainliest answer if you answer with a step by step explanation+ your answer:)*
Answer:
[A] (4 ÷ 2)+(0.8 ÷ 2)
Step-by-step explanation:
Divide the 2 into each digit, which must be in the same spot it was before:
Knowing that 8 in 4.8 ⇒ 0.8
Thus, you can infer that [B] is wrong
You also infer that [D] and [C] is wrong because 4 is a whole number.
Thus, that left us with [A] 4 ÷ 2+0.8 ÷ 2 which shows the quotient of 4.8 ÷ 2
Hence, [A] 4 ÷ 2+0.8 ÷ 2 is the answer.
~Learn with Lenvy~
Answer:
Option A
Simplification:
[tex]\rightarrow (4 + 0.8) \div 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{4.8 can also be written as 4 + 0.8}][/tex]
[tex]\rightarrow \dfrac{(4 + 0.8)}{2} = \dfrac{4 + 0.8}{2}[/tex]
[tex]\rightarrow \dfrac{4}{2} + \dfrac{0.8}{2}[/tex]
[tex]\rightarrow (4 \div 2) + (0.8 \div 2) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \text{\large{[Option A}}][/tex]
There are 8 fluid ounces in 1 cup...
Answer: 4 cups
Step-by-step explanation:
First, convert the 6 cups of water to fluid ounces:
6 cups (8 fluid ounces / 1 cup) = 48 fluid ounces.
Then, since each bowl took 4 fluid ounces, and there are 4 bowls, the total fluid ounces used must be 16.
Thus, if there was 48, and 16 were used, 32 fluid ounces must be left. Convert this to cups by dividing by 8 and getting 4 cups.
Which statement accurately describes the contents of the two boxes in the image?
A. The box on the top consists of a mixture while the box on the bottom consists of a pure substance.
B. Both boxes consist of pure substances.
C. The box on the top consists of a pure substance while the box on the bottom consists of a mixture.
D. Both boxes consist of mixtures.
The statement that describes the content of the two boxes is that the box on the top contains a pure substance, while the one on the bottom contains a mixture.
What is the difference between a pure substance and a mixture?A pure substance often refers to a specific element such as nitrogen, helium, etc. that has not been modified or mixed with others.
On the other hand, a mixture includes two or more elements mixed.
What is the content of the first box?The first box contains only nitrogen, which is a pure substance.
What is the content of the second box?Different from the first box, this box contains two types of substances carbon and oxygen, which is why particles have two different colors. This means the content is a mixture.
Learn more about substances in: https://brainly.com/question/24372098
What is the length of the side of a square if it's area is 0.49 square units?
Answer:
a=0.7
A Area
0.49
Using the formula
A=a2
Solving fora
a=A=0.49=0.7
what is 1/100 of 2.14
Answer:
.0214
Step-by-step explanation:
2.14 * .01 = .0214
to check:
.0214 * 100 = 2.14
Write the following series in sigma notation.
7 + 16 + 25 +34 +43 +52 + 61
The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: [tex]\sum\limits^7_{n=1} {9n - 2}[/tex]
How to write the series in sigma notation?The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
First term, a = 7Common difference, d = 9Number of terms, n = 7Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
[tex]\sum\limits^7_{n=1} {9n - 2}[/tex]
Read more about arithmetic series at:
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Mrs culpepper’s and and mr Cochran s class recorded the number of books each student read in a week
Which of the following statements is true about the data sets?
The correct statement about the data set is the mean would be the best measure of central tendency for Mr Cochran's class because the data is symetrical.
What is a measure of central tendency?
A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode.
Mean is the average of a data set. Median is the number at the center of the data set. Mode is the number that occurs most in the data set. A data set is negatively skewed if the mean is less than the mode. If the mean is equal to the mode, the data is symmetric.
Mean of Mrs culpepper’s class = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3) / 10 = 1.9
Mode of Mrs culpepper’s class = 1
Mean of mr Cochran's class = (1+ 1 + 2 + 3 + 3 + 3 + 3 + 4 + 9 + 9) / 10 = 3.8
Mode of mr Cochran s class = 3
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A car goes 54 miles on 3 gallons of gas.
How many miles does the car go on 8 gallons of gas?
3 gallons => 54 miles
so
1 gallon => 54 : 3 = 18 miles
then
8 gallons => 18x 8= 144 miles