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
the lent of an alligator last year was 32 inches and 38 inches this year what is the percent change of the alligator length?
Answer:
18.75
Step-by-step explanation:
Answer number 8 please. Thank you.
Answer:
The answer is C. A triangle is made up of a total angle of 180°, therefore C. is more than 180°
please help me please
Answer:
Heres the answer Hope this helps!:)
System of Equations- pls help with the following problem
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
please mark me as brainlest
Step-by-step explanation:
b is the answers for the question
What does (2x−2)(3x+5) equal?
Answer:
6x² + 4x + 10
Step-by-step explanation:
(2x - 2)(3x + 5)
2x(3x + 5) - 2(3x + 5)
6x² + 10x - 6x + 10
6x² + 4x + 10 ans.
hope this helps you !
There are values of t so that sin t= 5/4
Answer:
False
Explanation:
sin t can never be greater than 1 or less than -1
whats the value of x+26
Answer:x = 154°
Step-by-step explanation:
The central angle and the angle between the tangents are supplementary, so
x + 26° = 180° ( subtract 26° from both sides )
x = 154°
Answer: 154 degrees
Step-by-step explanation: subtract 180 from 26 To get it .
Verizon phone company charges $48 for unlimited texting per month or $0.16 per text message sent or received. For what amount of text messages would the unlimited plan cost the same as per-text plan?
Answer:
300 text messages sent or received
Step-by-step explanation:
.16 x 300 = 48 which is the same amount as the unlimited texting
Answer:
300
Step-by-step explanation:
this is the answer to this question
What's the answer?? I really need help
Answer:
100in^3
Step-by-step explanation:
1. Split the shape into 2 separate rectangles.
2. Use the volume of a rectangle formula for each and add together (look at picture above).
I hop this helps! Have a blessed rest of the night!
Find the 11th term of the following geometric sequence 2,6,18,54,…
Answer:
118,098
Step-by-step explanation:
Notice that each term is multiplied by 3, 2 x 3 is 6, 6 x 3 is 18... and so on.
so 54*3 = 162 and keep multiplying your answer by three until you have 11 times
Find the total surface area of the cube.
2.2 cm
Answer:
The formula for surface area of a rectangular prism or cube is:
SA = 2 (LW+LH+WH)
So, we do, 2 (2×2+2×2+2×2)
So, the answer is 2×12 or 24 cm²
(100 POINTS) Question 2: 6 pts
Find the zeros of the quadratic function f(x) = 2x2 + 4x - 6 from the graph.
Answer:
1 and -3
Step-by-step explanation:
The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).
From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The Zeroes of a function are the x - coordinates of points when the curve touches/cuts the x - axis, so ~ for the given curve the roots are :
[tex]\qquad \sf \dashrightarrow \:1 \: \: and \: \: - 3[/tex]
Therefore, the correct choice is D
help please.. write the equation of the blue line using slope-intercept form (y=mx+b)
y = mx + p
p = - 7 since the line cuts the y-axis in -7
and m the slope ?
we choose 2 points (-2 ; 0) and (0 ; - 7)
we move of 2 units towards the left to go down of 7 units
=> m = - 7/2
y = - 7/2x - 7
or
y = -3,5x - 7
The diameter of a circle is 1213 inches.
What is the radius, r, of the circle?
Enter your answer as a mixed number in simplest form by filling in the boxes.
r = _ / in.
Answer:
the answer 6 1/6
Step-by-step explanation:
proof here
Answer: 6/1 6
Step-by-step explanation: i took the quiz
The volume of a sphere is 75716 cm3.
Work out the radius of the sphere.
Answer:
Step-by-step explanation:
Givens
V = 75716
pi = 3.14
r = ?
Formula
V = (4/3) pi * r^3
Solution
75716 = (4/3) * 3.14 * r^3 Multiply both sides by 3/4
75716 * 3/4 = 3.14 * r^3
56787 = 3.14 r^3 Divide by 3.14
56787 / 3.14 = 3.14 * r^3/3.14
18085 = r^3
∛18985 = ∛ r^3
r = 26.25
Find the area of each triangle 10in. 9in.
Answer: 45
Step-by-step explanation: Area of a triangle is l x h all divided by 2.
Plug numbers in. 9 x 10=90. 90/2 = 45.
Solve this question. Explain or show your reasoning. 1/2x-7=1/3(x-12)
∠A and ∠B are corresponding angles, the measure of \angle ∠A is 110
Answer:
Step-by-step explanation:
if the measure of <A is 110°
Then the measure of <B is also 110°
!!!20 points and Brainliest please help!!!!
Which of the following is a difference of cubes?
A)3x^9 - 64y^3
B)125x^21 - 64y^3
C)27x^15 - 9y^3
D)x^6 + 27y^9
Answer:
B) 125x^21 -64y^3
Step-by-step explanation:
You want to identify the difference of cubes among the expressions given.
A)The coefficient 3 is not a cube.
B)125x^21 -64y^3 = (5x^7)^3 -(4y)^3 . . . . . a difference of cubes
C)The coefficient 9 is not a cube.
D)The expression is not a difference.
<95141404393>
Find the derivative of 76x + 1 at x = 1.
Answer:
76
Step-by-step explanation:
We know the rule when finding the derivative :
dy/dx = nxⁿ⁻¹Deriving
dy/dx = 76x + 1dy/dx = 1 * 76 * (x)¹⁻¹ + 0 * 1¹⁻¹dy/dx = 76The x = 1 becomes irrelevant because there is no 'x' present in the derivative[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{d}{dx}(76x + 1) [/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{1 - 1} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76 {x}^{0} + 0[/tex]
[tex]\qquad \sf \dashrightarrow \:76[/tex]
Here, we have got a constant number, therefore for any value of x it will be 76
Therefore, derivative of 76x + 1 at x = 1 is 76
if the sum of two consecutive even number is 22 , find the number
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from
the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives
according to whether they received training or not. This data is shown in the table.
Three Months' Sales Orders
Training
No Training
Midwest
234
196
Northeast
252
178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training,
For the Northeast region, the average number of sales orders per representative for the group that had training is
more than the average number of sales per representative for the group that had no training
The data from the sales director's study indicates that the one-month training program
sales
Answer:
see below for the whole unit activity
Step-by-step explanation:
help..
Priya bought these items at the grocery store. Find each unit price.
12 eggs for $3. How much is the cost per egg?
3 pounds of peanuts for $7.50. How much is the cost per pound?
4 rolls of toilet paper for $2. How much is the cost per roll?
10 apples for $3.50. How much is the cost per apple?
Answer:
egg: 4 eggs per dollar
peanuts: 0.4 pounds per dollar
t p: 2 rolls for a dollar
apples: 3 apples per dollar
help pls asap
answer:
explain:
rate of change:
[tex]\sf \bold{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]
coordinates taken: (0, 0), (2, 1)
[tex]\rightarrow \dfrac{1-0}{2-0}[/tex]
[tex]\rightarrow \dfrac{1}{2}[/tex]
Take 2 points
(-2,-1)(2,1)[tex]\\ \rm\rightarrowtail m=\dfrac{1+1}{2+2}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{2}{4}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{1}{2}[/tex]
Can someone please help me with this if you can thank you!
Answer:
38.69
Step-by-step explanation:
=$38.69411765
=$38.69 (to the nearest cent)
(100/85) \$32.
Write the slope-intercept form of the equation of the line that is perpendicular to AB and passes through Point X Show
all work for full credit.
The numbers below are the golf score for the UGA golf team. 68, 70, 72, 73, 74, 75. What is the mean AND the mean absolute deviation (MAD) of the data?
A.MEAN:73; MAD:2
B.MEAN:72; MAD:2
C.MEAN73; MAD:6
D.MEAN; MAD:6
The mean and mean absolute deviation of the given data are;
B. Mean: 72; mean absolute deviation: 2.
What is The Mean Absolute Deviation?The mean absolute deviation of a data set is the average distance of each data point in the data set from the mean of the data set.
Given the data, 68, 70, 72, 73, 74, 75:
Mean = (68 + 70 + 72 + 73 + 74 + 75)/6 = 432/6
Mean = 72
Mean absolute deviation = [(68 - 72) + ( 70 - 72) + ( 72 - 72) + ( 73 - 72) + ( 74 - 72) + ( 75 - 72)] / 6
Mean absolute deviation = [(4) + (2) + (0) + (1) + (2) + (3)] / 6
Mean absolute deviation = 12/6
Mean absolute deviation = 2
Learn more about the mean absolute deviation on:
https://brainly.com/question/17381861
what is the area of the triangle in square yards 10 3/4 yards and 7 yards
PLEASE HELP ASAP!!!
i dont know this
Answer:
Put 4.96 in the second box then solve which the answer is 6.76
Step-by-step explanation:
Hyperbolas are confusingggg
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 60); y equals one over two hundred forty times x squared minus 60
(0, 60); y equals one over two hundred forty times x squared plus 60
(0, 15); y equals one over sixty times x square minus 15
(0, 15); y equals one over sixty times x squared plus 15
Answer:
I think the answer is A but im not sure