Answer:
Ok, at the beginning the distance between the trains is 200km:
IPa(0s) - P(0s)I = 200km.
where Pa is the position of train A, and Pb is the position of train B.
Now, the speed of train A is:
Sa = 50km/h
Sb = 65km/h
Now, remember the relation:
Distance = Speed*time.
So, in one hour, the displacement of train A is:
Distance = 50km/h*1h = 50km
The displacement of train B is:
distance = 65km/h*1h = 65km.
Now, if at the beginning train A is 200km ahead of train B, then we have:
Pa - Pb = (Pa(0s) + 50km) - (Pb(0s) + 65km)
= (Pa(0s) - Pb(0s)) + (50km - 65km) = 200km - 15km = 185km.
Now, if train B was 200km ahead of train A, we have:
Pb - Pa = (Pb(0s) + 65km) - (Pa(0s) - 50km) =
(Pb(0s) - Pa(0s)) + (65km - 50km) = 200km + 15km = 215km
If x^2 -8x=48 and x<0, what is the value of x+10?
Answer:
6
Step-by-step explanation:
To calculate x+10, we first need to find x. To do this, we can use the first equation.
We are given the equation:
[tex]x^2-8x=48[/tex]
To solve for x, turn one side of the equation into 0 and solve. Therefore:
[tex]x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12[/tex]
So, the possible values for x are -4 and 12.
However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.
So:
[tex]x+10\\(-4)+10\\=6[/tex]
Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....
Answer:
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]
Step-by-step explanation:
A geometric recursive formula has the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]
where r is the common ratio
Here r = - 14 ÷ 7 = - 2, thus
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7
Type the correct answer in the box. Use numerals instead of words. Use the order of operations to evaluate this expression: 7 + (5 – 9)2 + 3(16 ÷ 8).
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
What is PEDMAS Rule?PEDMAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
Given
7 + (5 – 9)2 + 3(16 ÷ 8)
By using PEDMAS rule,
= 7 + (-4)2 + 3(2)
= 7 + (-8) + 6
= 7 - 8 + 6
= -1 + 6
= 5
By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is 5.
Find out more information about PEDMAS rule here
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The solution of equation, 7 + (5 – 9)2 + 3(16 ÷ 8) is,
⇒ 29
Since, We knw that,
PEMDAS stands for P- Parentheses, E- Exponents, D- Division, M- Multiplication, A- Addition, and S- Subtraction.
We have to given that,
Expression is,
7 + (5 - 9)² + 3(16 ÷ 8)
Now, Simplify By using PEDMAS rule,
= 7 + (5 - 9)² + 3(16 ÷ 8)
= 7 + (-4)² + 3(2)
= 7 + 16 + 6
= 23 + 6
= 29
Thus, By using PEDMAS rule, 7 + (5 – 9)2 + 3(16 ÷ 8) is, 29
Learn more about the equation visit:
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Please i need to know the meaning of this! : Thanks.
Using the right triangle below, find the tangent of angle B.
시
A
600
0
3-13
300
B
Answer:1&3
Step-by-step explanation:
The combined weight of three basset hounds is 185 pounds. The two smaller dogs weigh the same. The difference between the larger weight and the smaller weight is 20 pounds. How many pounds does the largest dog weigh?
Answer:
75 pounds
Step-by-step explanation:
(x) + (x) + (x+20) = 185
3x + 20 = 185
3x = 165
x = 55
Large dog = 55 + 20 = 75
Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y
For each value of y, the number of value of x must be one. Then the correct options is D.
The complete question is attached below.
What is relation function?The relation function is given as, for every independent value, there is a dependent value.
Let the function be y = f(x).
For each value of x, the number of value of y may one or two.
But for each value of y, the number of value of x must be one.
Then the correct options is D.
More about the relation function link is given below.
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Calculate JK if LJ = 14, JM = 48, and LM = 50
Answer:
JK = 6.86
Step-by-step explanation:
The parameters given are;
LJ = 14
JM = 48
LM = 50
[tex]tan(\angle JML )= \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length} = \dfrac{LK}{JM} = \dfrac{14}{48} = \dfrac{7}{24}[/tex]
[tex]tan \left( \dfrac{7}{24} \right)= 16.26 ^{\circ }[/tex]
∠JML = 16.26°
Given that ∠JML is bisected by KM, we apply the angle bisector theorem which states that a ray that bisects an interior angle of a triangle bisects the opposite (bisected angle facing side) in the proportion of the ration of the other two sides of the triangle.
From the angle bisector theorem, we have;
LM/JM = LK/JK
50/48 = LK/JK................(1)
LK + KJ = 14.....................(2)
From equation (1), we have;
LK = 25/24×JK
25/24×KJ + JK = 14
JK×(25/24 + 1) = 14
JK × 49/24 = 14
JK = 14×24/49 = 48/7. = 6.86.
JK = 6.86
Math help on functions? Will award brainliest answer
Answer:
The manatee was swimming very passively when all of a sudden it saw a parrot fish! The parrot fish was considered incredibly rare where the manatee lived and was very playful with manatees. The manatee chased the parrot fish but as if playing tag, the parrot fish agilely swam farther and farther away. At this point the manatee and parrot had been playing "tag" for 300 seconds and were 1000 feet away from the dock where the manatee lived. Eventually when the manatee and parrot fish hit 400 seconds, the manatee became exhausted and decided to head back to the dock but all of a sudden the parrot fish slapped it with its fins! Unable to take the provocation the manatee became filled with vigor once again and started playing again but at the 500 mark it truly became exhausted and no longer could play regardless of what the parrot fish did and headed back to the dock. It took 150 seconds to get back to the dock and it had been away from the dock for 650 seconds.
The function f is defined by the following rule
f (x) - 5+1
Complete the function table.
-5
-1
0
2
3
Answer:
The answer to your question is given below.
Step-by-step explanation:
1. f(x) = 5x + 1
x = – 5
f(x) = 5x + 1
f(–5) = 5(–5) + 1
f(–5) = –25 + 1
f(–5) = –24
2. f(x) = 5x + 1
x = – 1
f(x) = 5x + 1
f(–1) = 5(–1) + 1
f(–1) = –5 + 1
f(–1) = – 4
3. f(x) = 5x + 1
x = 1
f(x) = 5x + 1
f(1) = 5(1) + 1
f(1) = 5 + 1
f(1) = 6
4. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(2) = 5(2) + 1
f(2) = 10 + 1
f(2) = 11
5. f(x) = 5x + 1
x = 2
f(x) = 5x + 1
f(3) = 5(3) + 1
f(3) = 15 + 1
f(3) = 16
Summary
x >>>>>>>> f(x)
–5 >>>>>> – 24
–1 >>>>>> – 4
1 >>>>>>>> 6
2 >>>>>>> 11
3 >>>>>>> 16
Deal A is at Walmart and they are selling 50 cupcakes for $30 dollars but gives you 10% discount. Deal B is at Costco gives you 50 percent more cupcakes at the same price at $30 of but no discount. which is a better deal.
Answer:
Deal B
Step-by-step explanation:
Deal A : $ 30 *10%=3 dollars
the price for 50 cupcake is 27 dollars (54 cent for one cupcake)
Deal B: 50*50%= 25 more cupcake
75 cupcake for 30 dollars ( 40 cents per cupcake)
Deal B is better than Deal A
classify What type of number is the square root of 2
Answer:
The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 21⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property
Step-by-step explanation:
Which could be the entire interval over which the
function, f(x), is negative?
(-8,-2)
(-8,0)
(-0, -6)
(00,-4)
plz help me ASAP!!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 6 units in t corresponds to an increase of 7 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?) The unit rate of change is . Graph the line.
Answer:
7/6
Step-by-step explanation:
You have correctly graphed the line, so you know that the rate of change is ...
∆d/∆t = 7/6
d changes by 7/6 units for each unit change in t.
HELLLLLPPPPP FASTTTT
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction Negative 3 Negative 2 and one-half 7 7 and one-half
Answer:
The best estimated value of the expression is negative 3
Step-by-step explanation:
What is the best estimate for the value of the expression? (StartFraction 34 over 8 EndFraction minus StartFraction 16 over 3 EndFraction) minus StartFraction 14 over 9 EndFraction
Solution
(34 / 8) - (16 / 3) - (14 / 9)
= 34/8 - 16/3 - 14/9
Find the sum
= 306 - 384 - 112 / 72
= -190 / 72
= -2 46 / 72
= -2 23 / 36
= -2.6389
Approximately -3
The best estimated value of the expression is negative 3
Answer:
The answer is -2 1/2,
Step-by-step explanation:
find the series in which
5th term is 22/16 and 4th term is -4
Answer:
The series is given as follows;
[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]
Step-by-step explanation:
Assuming the series is an arithmetic progression, (AP), series, we have
The nth term of the desired series = a + (n - 1)×d
Where;
a = The first term
n = The position of the term in the series
d = The common difference
Given that the 5th term = 22/16 and the 4th term = -4, we have;
d = The difference between consecutive terms = Difference between the 5th term and the 4th term
∴ d = 22/16 - (-4) = 43/8 = 5.375
22/16 = a + (5 - 1)×5.375
∴ a = 22/16 - 4×5.375 = -20.625
The series is therefore;
[tex]-\dfrac{161}{8} , \ -\dfrac{59}{4} , \ -\dfrac{75}{8}, \ -4, \ \dfrac{22}{16} ......[/tex]
Find the perimeter of the rectangle with a A. 11 in. B. 22 in. C. 28 in. D. 56 in.
Answer:
B.22
Step-by-step explanation:
4+4+7+7=22
what is the value of the 8 1,082
Answer:
bbbbklhlhjljkhk
Step-by-step explanation:qwertyuiosdfghnjm,
xcvbnm,.sdfghuijk;m./
Answer:
[tex]\Large \boxed{tens}[/tex]
Step-by-step explanation:
We want to find out what 8 is in the number 1,082.
Let’s see the value of each number.
The 1 in 1,082 is in the one thousand place.
The 0 in 1,082 is in the hundreds place.
The 8 in 1,082 is in the tens place.
The 2 in 1,082 is in the ones place
We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’
Therefore the value of 8 is in the tens place.
If you have any questions, be free to ask!
If EH = 80, calculate GF.
Answer:
The length of Segment GF is 120
Step-by-step explanation:
Given that EH = 80, and AB, GF, RH, and DI are parallel lines, we have;
DC ≅ DE ≅ EF ≅ FA Given
Therefore, CI ≅ HI ≅HG ≅ GB (Triangle proportionality theorem)
From where we have;
EH/GF =CH/CG (Intercept theorem otherwise known as Thales' theorem )
CH = 2 × CI (Transitive property of equality)
Also CG = 3 × CI (Transitive property of equality)
EH/GF = 2×CI/(3×CI) = 2/3
EH/GF = 2/3
80/GF = 2/3
Therefore we have;
Segment GF = 80 × 3/2 = 120
The length of Segment GF = 120.
120 U-U
Mostly cuz i looked it up and i am not explaining it cuz i dont wanna
During a catered lunch =, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
Answer:
30 gallons of tea
Step-by-step explanation:
We are looking at the average of cups of tea per minute but we are given the time frame of lunch in hours, so first, we have to convert the hours to minutes:
There are 60 minutes in 1 hour and lunch is 2 hours long. So, multiply 60 by 2 to get 120 minutes total.
Next, we have to find out the number of cups of tea poured during the lunch. We have been told already that an average of 4 cups of tea are poured a minute.
Therefore, multiply 4 by the total number of minutes for lunch. You will multiply 4 by 20 to get 480 cups of tea poured in total during the catered lunch.
Finally, we have to see how many gallons of tea the caterer should bring. We should know that there are 16 cups in one gallon.
That means we have to divide the total number of cups poured by 16. Divide 480 by 16 to get 30 gallons of tea that the caterer should bring.
Can someone help find the domain and range
Answer:
Domain : [-2, 6], {x | -2 ≤ x ≤ 6}
Range : [-6, 2], {y | -6 ≤ y ≤ 2 }
Step-by-step explanation:
Domain of a function is defined by the x-values on the graph of the function.
Similarly, y-values define the Range of the function.
From the graph of a circle,
Diameter of the circle along x-axis (horizontally) has the ends at x = -2 and x = 6
Therefore, domain of the circle will be [-2, 6], {x | -2 ≤ x ≤ 6}
Extreme ends of the diameter of the circle along y-axis are at y = 2 and y = -6
Therefore, range of the circle will be [-6, 2], {y | -6 ≤ y ≤ 2 }
solve for x 13x + 7 = 5x - 20
Answer:
13x + 7 = 5x - 20
Step-by-step explanation:
SOLVE for X
13x + 7 = 5x - 20
-------------------------
-5x -7
------------------------
8x=-27
x= -3.375 or -27/8
Answer:
x = -27/8
Step-by-step explanation:
combine the x terms. To do this, subtract 5x from both sides. We get:
8x + 7 = -20.
Next, subtract 7 from both sides, obtaining:
8x = -27, or x = -27/8
an elevator at a museum can travel 210 m upwards in 35 s. what is the elevators velocity
Answer:
6 meters per second upwards
Step-by-step explanation:
Hello!
To find velocity you divide the distance by the time it took to travel then you add your direction to it
The elevator went 210 m upwards in 35 seconds so we divide these numbers
210 / 35 = 6 meters per second upwards
The answer is 6 meters per second upwards
Hope this Helps!
Determine the standard form of the equation of the line that passes through (-6, 6) and (3, -2). A. -8x + 9y = -6 C. -8x -9y = 6 B. 8x + 9y = 6 D. 9x - 8y = 6
Answer:
B. 8x + 9y = 6
Step-by-step explanation:
You can eliminate answer choices A and C because their leading coefficient is negative. In standard form, the leading coefficient is positive.
For the remaining two equations, you can check to see if the given points are on the line
B: for point (-6, 6), we want 8(-6) +9(6) = 6 . . . true
for point (3, -2), we want 8(3) +9(-2) = 6 . . . . true
The appropriate equation is 8x +9y = 6.
D: (we don't need to check to know it won't work after the above)
__
The equation in standard form, can be written from ...
(Δy)(x -a) = (Δx)(y -b) . . . . . for some point (a, b)
The values of Δx and Δy are the differences between corresponding coordinates.
Δy = 6 -(-2) = 8
Δx = -6 -3 = -9
For point (-6, 6), the above equation becomes ...
8(x +6) = -9(y -6)
8x +48 = -9y +54 . . . . eliminate parentheses
8x +9y = 6 . . . . . . . . . . add 9y-48
Can someone please help! Thx
Answer:
Hey there!
The angle is 24 degrees.
The angle complementary to the 66 degrees is 24 degrees, and the unknown angle is also 24 degrees because these are alternate interior angles.
Let me know if this helps :)
¿Qué pasa si el coeficiente del término cuadrático no es 1?
Answer:
NOT IN MY HOUSE SUNNY
Step-by-step explanation:
NEED ASAP What is the quotient and remainder of 8,595 ÷ 24?
Answer:
358.125
Step-by-step explanation:
Answer:
358 3/24
Step-by-step explanation:
hello, i need help pleaseeeeeeeeeeeeeeee
Answer:
f₁(x) = -3x + 2
f₂(x) = x - 4
f₃(x) = x + 8
f₄(x) = -2x - 6
f₅(x) = -3x
Step-by-step explanation:
1). Since function f₁ (blue line) passes through a point (0, 2) and (-2, 8)
Let the equation of the blue line is,
y = mx + b
Since slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{8-2}{-2-0}[/tex]
m = -3
Y-intercept 'b' = 2
Therefore, equation of the line will be,
y = -3x + 2
Linear function representing the line will be,
f₁(x) = -3x + 2
2). Let the equation of the red line passing through (0, -4) and (2, -2) is,
y = mx + b
Slope of the line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{-4+2}{0-2}[/tex]
m = 1
y-intercept 'b' = -4
Therefore, the linear function will be,
f₂(x) = x - 4
3). Let the equation of the green line passing through (-6, 2) and (-2, 6) is,
y = mx + b
Slope of the line 'm' = [tex]\frac{6-2}{-2+6}[/tex]
m = 1
y-intercept 'b' = 8
Therefore, linear function will be,
f₃(x) = x + 8
4). Let the equation of the yellow line passing through (-6, 6) and (-4, 2) is,
y = mx + b
Slope of the line = [tex]\frac{6-2}{-6+4}[/tex]
m = -2
y-intercept of the line 'b' = -6
Therefore, function representing the line will be,
f₄(x) = -2x - 6
5). Let the equation of the pink line is passing through (0, 0) and (-2, 6) is,
y = mx + b
Since the line is passing through origin, y-intercept 'b' = 0
Slope of the line = [tex]\frac{6-0}{-2-0}[/tex]
m = -3
Therefore, equation of the linear function will be,
f₅(x) = -3x
[fill in the blank]
In this figure,AB and CD are parallel.
AB is perpendicular to line segment_____. If the length of EF is a units, then the length of GH is_____units.
Answer:
1. GH
2. a
Step-by-step explanation:
Perpendicular: When 2 lines meet at 90 degrees
1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)
2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too
This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees
a 4 1/2 hamburger patty has 25 1/2 grams of protein,and 6 ounces of fish had 32 grams of protein
Answer: 4.5 oz/25.5 g = 1 oz/X g
Step-by-step explanation: Crossed multiplies to solve for X.
