Answer:
The magnitude of the velocity will be 60 m/s.
The distance covered is 3,600 m
Step-by-step explanation:
Constant Acceleration Motion
It's known as a type of motion in which the velocity of an object changes by an equal amount in every equal period of time.
If a is the constant acceleration, vo is the initial speed, vf the final speed, and t the time, the following relation applies:
[tex]v_f=v_o+at[/tex]
The distance traveled by the object is calculated as:
[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}[/tex]
The bus starts from rest, i.e. vo=0, the acceleration is a=0.5 m/s^2. The magnitude of the velocity at t=2 minutes = 120 seconds is:
[tex]v_f=0+0.5\cdot 120=60 \ m/s[/tex]
The magnitude of the velocity will be 60 m/s.
The distance covered during that time is:
[tex]\displaystyle x=0+\frac{0.5\cdot 120^2}{2}[/tex]
[tex]\displaystyle x=\frac{7,200}{2}[/tex]
x = 3,600 m
The distance covered is 3,600 m
8/9 - 1/3 equals what
10,716/ 456 written as a decimal
Explanation/Answer: 23.5
The decimal value of 10716 / 456 is 23.5.
Given,
10716 / 456.
We need to convert it into a decimal value.
What is a decimal number?A number that has a decimal point is called a decimal number.
In order to convert a fraction into a decimal number, we need to divide the numerator by the denominator.
Example: 7/2 =3.5
Find the decimal number.
We have,
10716 / 456
We can directly divide or we can simplify the fraction into a simpler fraction.
10716 = 12 x 893
456 = 12 x 38
So,
= 12 x 893 / 12 x 38
= 893 / 38
Divide 893 by 38
We get,
= 23.5
Thus the decimal value of 10716 / 456 is 23.5.
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PLEASE HELP ASAP
Solve the following system of equations.
y = 5x – 3
y = x2 + 3x – 2
Question 4 options:
A)
(–1,8)
B)
(0,–3)
C)
(2,7)
D)
(1,2)
The Answer fam is......... D) (1,2)
The solution for the given system of equations as per linear and quadratic equation is (x, y) = (1, 2).
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
What is a quadratic equation?"A quadratic equation is an equation in which the highest power of the variable is always 2."
Given two linear equations are:
y = 5x – 3 (1)
y = x² + 3x – 2 (2)
Therefore, combining the two equations, we get:
5x - 3 = x² + 3x - 2
⇒ x² - 5x +3x - 2 + 3 = 0
⇒ x² - 2x + 1 = 0
⇒ (x)² - 2 × x × 1 + (1)² = 0
⇒ (x - 1)² = 0
⇒ (x - 1) = 0
⇒ x = 1
Now substituting the value of 'x' in the equation (1), we get:
y = 5 × 1 - 3
⇒ y = 2
Therefore, by solving the given two equations, we get: x = 1, y = 2.
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What place value is the 5 in the following number, 123.465? earn 100 points!!!
Answer:
it will be in the thousands place for sure
Step-by-step explanation:
hope that helps =) i forgot there were a decimal point
Answer:
The place value of 5 in "123.465" is the thousandths
Step-by-step explanation:
The reason for this is because the "5" is 3 points behind the decimal, making it in the thousanths place.
△BCD≅△GEF . If BC=10 , CD=3x+8 and EF=4x+6 , then what is the measure of CD ?
Given :-
ΔBCD ≅ ΔGEF
Then :-
∠B <=> ∠G ( ∠B = ∠G )
∠C <=> ∠E ( ∠C = ∠E )
∠D <=> ∠F ( ∠ D = ∠F )
BC <=> GE ( BC = GE )
CD <=> EF ( CD = EF )
BD <=> GF ( BD = GF )
Using this let us find CD .
CD = EF
Which means :-
[tex] 3x + 8 = 4x + 6[/tex]
[tex]8 = 4x + 6 - 3x[/tex]
[tex]8 = 1x + 6[/tex]
[tex]1x + 6= 8[/tex]
[tex]1x = 8 - 6[/tex]
[tex]1x = 2[/tex]
[tex]x = 2[/tex]
Then :-
EF =
[tex]EF = 4x + 6 \\ = 4 \times 2 + 6 \\ = 8 + 6 \\ = 14[/tex]
CD =
[tex]CD = 3x + 8 \\ = 3 \times 2 + 8 \\ = 6 + 8 \\ = 14[/tex]
Therefore , CD = 14 .△BCD≅△GEF
The measure of CD is 14
Given :
Two triangles are congruent
△BCD≅△GEF
When triangles are congruent then the sides are equal
[tex]BC=GE\\CD=EF\\DB=FG\\[/tex]
Given that CD=3x+8 and EF=4x+6
[tex]CD=EF\\3x+8=4x+6\\3x+8-3x=4x-3x+6\\8=x+6\\8-6=x+6-6\\x=2[/tex]
The value of x=2
Now we find measure of CD
[tex]CD=3x+8\\CD=3(2)+8\\CD=14[/tex]
The measure of CD is 14
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Look at the pattern below.
0, 3, 6, 9, ...
Create a new pattern that follows the same rule as the one above.
0,5,10,15,20,
Step-by-step explanation:
I'm just adding 5 to each because I add 3 to each number
Find the product: 5(2x2 + 4x + 3)
Answer:
10x^2+20x+15
Step-by-step explanation:
5(2x^2+4x+3)
u distributed it and u get
10x^2+20x+15
Answer: I am pretty sure it is 115+20x
Step-by-step explanation: You have to do distributive Property
10 times 10+ 20x+15
100+20x+15
115+20x
Two angles of a triangle measure 12 and 40. What is the third angle?
Answer:
The third angle is 128°.
Step-by-step explanation:
We need to remember that the sum of the 3 angles of a triangle is 180°, hence if we have 2 angles, the third angle is:
[tex] 180 = \alpha + \beta + \theta [/tex]
[tex] 180 = 12 + 40 + \theta [/tex]
[tex] \theta = 180 - 52 [/tex]
[tex] \theta = 128 [/tex]
Therefore, the third angle is 128°.
I hope it helps you!
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Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of Negative 3 and StartFraction 5 over 8 EndFraction and Zack has a score of Negative 3 and two-thirds. Which statement explains who won?
Comparing the decimal equivalents of their scores shows that Vanessa won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Vanessa won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Comparing the decimal equivalents of their scores shows that Zack won because –3.625 is less than Negative 3.ModifyingAbove 6 with bar.
Comparing the decimal equivalents of their scores shows that Zack won becauseNegative 3.ModifyingAbove 6 with bar is less than –3.625.
Answer:
the last option D.comparing the decimal equivalents of their scores shows that Zack won because -3.6 is less than -3.625
Step by step explanation
Got it correct on edge
Answer:
D
Step-by-step explanation:
Suppose a Hispanic Heritage festival is held in an area measuring 2,494 square yards. If the length of the festival is 58 yards, what is the width of the festival?
Answer: 43 yards.
Step-by-step explanation:
Let the shape of the area occupied for festival be rectangle.
and area of rectangle = length x width
Given: Area of the festival= 2,494 square yards.
Length of the festival= 58 yards
Then width = (Area )÷ (length)
= (2494)÷58 yards
= 43 yards
hence, the width of the festival = 43 yards.
Give the probability distribution for X:
x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8
Find Var.
Answer:
Var(x)=1
Step-by-step explanation:
x p(x) x² x*p(x) x²*p(x)
0 1/4 0 0 0
1 1/8 1 1/8 1/8
2 1/2 4 1 2
3 1/8 9 3/8 9/8
Total 3/2 13/4
The required variance can be computed as
Var(x)=sumx²*p(x)-(sum(x*p(x)))²
Var(x)=13/4-(3/2)²
Var(x)=13/4-9/4
Var(x)=4/4
Var(x)=1
Thus, the required variance is 1.
Show your work:
−15x = 0
Answer:
Step-by-step explanation:
-15x = x = 0/-15
x = 0
Step-by-step explanation:
-15x=0
-15x/-15=0/-15
x=0
-15(0)=0
Write and equation of a line perpendicular to y=-5x+8 and passes through (10,4)
im not sure just yet
u/5 =13/7 solve for u
Answer:
u = 65/7
Step-by-step explanation:
u/5 = 13/7
Using the cross product
7u = 5*13
7u = 65
Divide each side by 7
7u/7 = 65/7
u = 65/7
Kyle plans to estimate the area of the figure below by identifying the full and partial squares that make up the figure.
If Kyle uses the strategy, which statement best describes the figure?
O 20 full squares and 8 partial squares
0 24 full squares and 12 partial squares
0 36 full squares and 12 partial squares
O 40 full squares and 8 partial squares
Answer:
The answer is one hundred percent D
Step-by-step explanation:
Hi
Answer:
D
Step-by-step explanation:
Anyone know how to do this? I’m stuck
Which statement describes the vertical asymptotes of the graph of f(x) = x2–64/8x - 64
Answer:
The graph has no vertical asymptote. or A
Step-by-step explanation:
Right on edge
For the given function f(x) = (x² -64) / (8x -64) there is no vertical asymptotes of the graph.
What is vertical asymptotes ?"A vertical asymptote is a vertical line, , which represents that invisible line approaches from either the positive or negative side, the function approaches infinity. Vertical asymptotes occur at the values where a rational function has a denominator of 0."
According to the question,
Given,
f(x) = (x² -64) / (8x -64)
= ( x- 8)(x + 8) / 8(x -8)
= (x + 8) / 8
= x/8 + 1
To find vertical asymptotes denominator = 0.
But here denominator 8 ≠ 0
Therefore,
No vertical asymptotes
horizontal asymptotes: no
slant/ oblique asymptotes: y = x/8 + 1
Hence, the graph has no vertical asymptotes.
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Find the slope of the line
To finish a certain job in 8 days in 6 workers are needed. if it is required to finish the same job in 2 days advance how many workers have to work?
Answer:
The job needs 48 worker/days.
Step-by-step explanation:
To do it in 4 days, 48/4 or 12
Is this a function or not a function? (Picture)
Answer:
Yes it is a function
Step-by-step explanation:
I can do math can I get brainliest?
Need help asap PLEASE same problem just made it easier to see
Label XY with 3.
Label angle X with 53 degrees.
Label angle Y with 90 degrees.
Label angle C with 37 degrees.
Label angle A with 53 degrees.
Label BC with 4.
Label AC with 5.
Answer: i don't know if you want degrees or the lengths so i did both
∠ACB = 37°
∠BAC = 53°
∠ZXY = 53°
∠XYZ = 90°
∠XZY = 37°
∠ABC = 90°
BC = 4
AC = 5
AB = 3
YZ = 4
XY = 3
XZ = 5
Step-by-step explanation:
37 + 90 = 127
180 - 127 = 53
37 + 90 + 53 = 180
Which of the following is a binomial?
Answer:
B
Step-by-step explanation:
Dylan mowed three lawns for $45. Determine the cost per lawn
Answer:
$15
Step-by-step explanation:
Dvide 45 by 3 to get 15.
Do yoi think you can sovle this?
Free brainlest for answer, 25 points.
Answer:
23 did i get it?
I need help please and thank you in advance
A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%
Incomplete question. Attached is an image of the table.
Step-by-step explanation:
A.
Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%. and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%
Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%. and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?
the answer is 63
Step-by-step explanation
18 x 3.5=63
Answer: 63 pages
Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.
Adam has two kinds of fruit punch left over from a party. He mixes 5 liters of fruit punch A with 10 liters of fruit punch B to create fruit
punch C. Fruit punch A contains 25% orange juice and the resulting fruit punch C contains 35% orange juice.
What percent orange juice does fruit punch B contain?
OA. 20%
OB. 50%
OC. 40%
OD 25%
Answer:
A. 20%
Step-by-step explanation:
fruit punch A is half of fruit punch B so times 35 by 2 and then subtract 50. 50 came from 25 times 2.
Solve the inequality. 12x<-144
Answer:
Step-by-step explanation:
x=-12
Answer:
x= -12
Step-by-step explanation:
Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.
Answer:
For a single value of x function has more than one corresponding value of y which satisfies the equation.
Step-by-step explanation:
Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.
It means for an equation to represent a function any single value of x there should be only one corresponding value of y which satisfies the equation.
Now consider the given equation.
[tex]x^2 + y^2 = 8[/tex]
If we put x=0 then we get two value of y i.e [tex]\sqrt8[/tex] and [tex]-\sqrt8[/tex] which satisfy the equation and therefore the equation is not a function.
