Final answer:
The two trains traveling towards each other at 85 mph and 95 mph respectively, will meet after 1.2 hours, as they have a combined approach rate of 180 mph.
Explanation:
To find out how long it will take for two trains to meet when they start 216 miles apart, moving toward each other at speeds of 85 miles per hour and 95 miles per hour, respectively, we can add their speeds to determine their approach rate. The sum of their speeds is the relative speed at which they are moving towards each other. Therefore, we calculate:
85 mph + 95 mph = 180 mph.
This means that the two trains cover 180 miles of the distance between them in one hour. To find the total time until they meet, we divided the total distance by their approach rate.
216 miles ÷ 180 mph = 1.2 hours.
Therefore, it will take 1.2 hours for the two trains to meet.
The ratio of red pens to black pens is 3:2. What fraction of the pens are red
Answer:
1/4
Step-by-step explanation:
3/12 simplified is 1/4.
Bonnie filled her car’s tank. She put in 10 1/2 gallons and paid $15.26. Determine the cost of gasoline per gallon.
Which statement is true about this argument?
Premises:
If two angles form a linear pair, then they are supplementary. If two angles are supplementary, then the sum of their measures is 180°.
Conclusion:
If two angles form a linear pair, then the sum of their measures is 180°.
A) The argument is not valid because the premises are not true.
B) The argument is not valid because the conclusion does not follow from the premises.
C)The argument is valid by the law of syllogism.
D)The argument is valid by the law of detachment.
The given argument is valid by the law of syllogism which is the correct answer would be option (C).
What are supplementary angles?The supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles. There are two types of supplementary angles.
Premise: If two angles form a linear pair, they are supplementary.
If two angles are supplementary, the total of their measurements equals 180.
Conclusion: If two angles form a linear pair, the total of their measurements equals 180.
If two angles form a linear pair, they are always supplementary.
Thus, if two angles form a linear pair, the total of their measures is 180°; however, if two angles are supplementary, it does not ensure that they will form a linear pair.
So the given argument is valid by the law of syllogism.
Hence, the correct answer would be option (C).
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An investment doubles in value every 9 years. What was the starting value of the investment if it is worth $4800 after 27 years.
Find the “missing terms” in the polynomial problems. Answers will have multiple terms.
1. (c^3 + c^2 - 5) + ( ) = c^2 + 2c - 7
2. (2d^2 + d) - ( ) = - d^3 + 3d - 1
3. ( ) - (2x^4 - 2x^2 - 3) = x^4 + x^3 - 2x^2 + x
Determine the value of r so the line passing through each pair of points has the given slope
(6,3) (r,2), m=1/2
rewrite the standard form equation below into slope-intercept form. x-2y=3 A. y=x+3 By=-3/2x-1/2 C.y=3/2x-1/2 D.y=1/2x-3/2
which of the following is a factor of 15x2-14x-8
The temperature on a summer afternoon is 85 degrees Fahrenheit. Define a variable and write an expression to find the temperature after it changes. Then evaluate your expression for a decrease of degrees Fahrenheit
The expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
It is given that:
The temperature on a summer afternoon is 85 degrees Fahrenheit.
Let C be the temperature in degrees
F = (9/5)C + 32
Or
C = [5/9](F - 32)
From the data given in the question:
Any temperature change is the sum of the initial temperature and the new value.
Temperature plus changes The figure will be positive if there has been an increase. The number will be negative if there is a reduction.
Thus, the expression 85 + C; 85 + (-9) = 76; 76 degrees F option is (C) 85 + C; 85 + (-9) = 76; 76 degrees F is correct.
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Which is best definition of contrapposto?
a. an active pose
b.an s-shaped pose
c. a block-shaped pose
The answer is an s shaped pose. Contrapposto is an Italian word that means counterpose. It is practiced in visual arts to depict a human figure standing with the majority of its heaviness on one foot so that its shoulders and arms curl off in an axis from the hips and legs forming a letter s.
I just finished the quiz the answer is B. an S-shaped pose
The total weight of a tin and the cookies it contains is 2 pounds. after � of the cookies are eaten, the tin and the remaining cookies weigh 0.8 pounds. what is the weight of the empty tin in pounds?
There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days? A. 6y = 2x B. y = 6x + 2 C. y=16x+2 D. y = 2x + 6
Answer:
D. y = 2x + 6
Step-by-step explanation:
The amount of quarters that there´s in the jar is expressed by the letter "Y".
We know the jar had already 6 quarters.
Jill adds 2 quarters to the jar everyday, the number of days Jill does this will be represented by the letter "X", because it´s our variable.
What remains constant is that we started with 6 quarters and Jill deposits 2 more every day
Number of quarters in the jar "Y"= (Number of quarters deposited) 2*(number of days)X + (Number of quarters already in the jar) 6.
Y= 2x+6
What is the slope of this graph?
1/4
--4
--1/4
4
Answer:
4
Step-by-step explanation:
the last one I think
The slope of the graph is indeed 4.
You can find the slope of a line by using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where m is the slope, (x₁, y₁) and (x₂, y₂) are any two points on the line.
In the given graph, two points are clearly marked: (0, 0) and (10, 40). Plugging these points into the formula, we get:
m = (40 - 0) / (10 - 0) = 40 / 10 = 4
Therefore, the slope of the graph is 4. So the answer is d. 4.
y=10x+16 looks like what on a graph
That is the screen shot for questions 5.
The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?
12 inches increased by 36
((Use the graph shown below to fill in the blank.))
If (4, y) is an ordered pair of the function, then y = a0.
If (4, y) is an ordered pair of the function, then value of y = 1.
What is Coordinates?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
(4, y) is an ordered pair of the function.
Now, The point (4, y) has a known x coordinate of x = 4.
For the value of y at x = 4,
Draw a vertical line through 4 on the x axis.
Then, The vertical line crosses the graph at the point (4, 1).
Thus, The value of y is 1.
Thus, If (4, y) is an ordered pair of the function, then value of y = 1.
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What are the coordinates of the x-intercept(s) of the graph of
y = (x - 6)(x + 5)?
A) (0, -30)
B) (-5, 0) and (6, 0)
C) (0, -5) and (0, 6)
D) (-6, 0) and (-5, 0)
Answer:
B. is the answer!!!!!!! (-5, 0) and (6, 0) is the correct answer.Step-by-step explanation:
(-5, 0) and (6, 0) is the correct answer.
To find the x-intercepts, use the Zero Product Property and solve for x:
x - 6 = 0
x = 6
x + 5 = 0
x = -5
Therefore, the x-intercepts are (6,0) & (-5,0).
Math Help Please....
The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up a car with gasoline with 9 gallons of gasoline. What is the constant of variation?
If cos70 = 0.342, give another angle whose cosine is 0.343
The another angle whose cosine is 0.343 is -70.789 degrees.
Given that,
cos(70) = 0.342
We can use the fact that cos(x) = cos(-x) to find another angle whose cosine is 0.343.
Now
⇒ cos(x) = 0.343
⇒cos(-x) = cos(x)
= 0.343
Now, we need to find -x.
⇒ cos(-x) = 0.343
Taking inverse cosine on both sides, we get:
⇒ -x = arcos(0.343) we get,
⇒ -x = 70.789
Therefore, x = -70.789
Hence, another angle whose cosine is 0.343 is -70.789 degrees.
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Write 5 3/8 as an improper fraction.
15/8
43/8
23/8
53/8
I'm stuck on trying to get X
Determine the slope of the graph of x3 = ln(xy) at the point (1, e).
The slope of the graph of x^3 = ln(xy) at the point (1, e) is 2e. This is found by taking the derivative of the equation to find a formula for the slope at any point, and then substitifying the given point into that formula.
Explanation:To determine the slope of a graph of the equation x3 = ln(xy) at a specific point, we need to take the derivative of the equation, which gives us the slope at any point. Given the equation x^3 = ln(xy) and the point (1, e), first we can take the derivative implicitly.
Using the chain rule and the fact that the derivative of ln(x) is 1/x, we have 3x2dx = (1/y + x/y')dx. Simplifying this gives y' = (3x2y - 1)/x, which is the derivative of the equation and represents the slope at any given point.
Substituting x = 1 and y = e into the equation of the derivative, we get y' = (3.1e - 1)/1 = 2e, so the slope at the point (1, e) is 2e.
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factor a number, variable, or expression out of the polynomial shown below. 15x^3 + 20x
a. 15x(x^2+5x)
b. 5x(3x^2+4x)
c. 5x(3x^2+4)
d. 15x(x^2+5)
Final answer:
To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you can factor out 5x to get 15x(x²+5x).
Explanation:
To factor a number, variable, or expression out of the polynomial 15x³ + 20xa, you need to identify a common factor.
In this case, the common factor is 5x. So, you can factor out 5x from each term to get: 15x(x²+5x)
Therefore, the correct answer is option a. 15x(x²+5x).
Find the missing term of the following sequence. . . . –45, __, –12, . . .
Which best describes the graph of the function f(x) = 4(1.5)x?
A.The graph passes through the point (0, 4), and for each increase of 1 in the Bx-values, the y-values increase by 1.5.
B.The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5.
C.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by 4.
D.The graph passes through the point (0, 1.5), and for each increase of 1 in the x-values, the y-values increase by a factor of 4.
Final answer:
The function f(x) = 4(1.5)^x passes through the point (0, 4), and for each unit increase in x-values, the y-values are multiplied by a factor of 1.5, not just increased by a fixed amount.
Explanation:
The function f(x) = 4(1.5)^x describes exponential growth, where the base of the exponent is greater than 1. Thus, the graph of f(x) is not a straight line but an exponential curve. Evaluating the function at x=0 gives us f(0) = 4(1.5)^0 = 4, confirming the graph passes through the point (0, 4). For each increase of 1 in the x-values, the y-values are multiplied by 1.5, not merely increased by 1.5 or 4, consistent with the properties of an exponential function. Therefore, the correct answer is that the graph passes through the point (0, 4), and for each unit increase in x-values, the y-values increase by a factor of 1.5, correlating with option B.
How do you find the missing value?
What is the slope of the line represented by the equation –5x+2y= 10 ?
–52
–25
25
52
y = 5/2 x + 10 slope: 5/2
Step-by-step explanation: