Rate of change of distance is also known as speed.
Given,
Distance (s) = 400km = 400 × 1000m = 400,000m
Time (t) = 10h = 10 × 3600s = 36,000s
We know that,
Speed (v) = Distance/Time
[tex]=> v = \frac{s}{t} \\ => v = \frac{400000m}{36000s} \\ => v = \frac{400m}{36s} \\ => v = \frac{100m}{9s} \\ => v = \frac{100}{9}m {s}^{ - 2} \\ [/tex]
A heron can travel an average of 400 km in 10 hours. Then the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
What is the meaning of the term “distance”?Distance is a measurement of how far apart two things or locations are, either quantitatively or occasionally qualitatively. Distance in physics or common language can refer to a physical length or an estimate based on other factors.
The term is frequently used metaphorically to refer to a measurement of the amount of difference between two similar objects, or a degree of separation as exemplified by distance between people in a social network.
The concept of a metric space is used in mathematics to formalize the majority of such concepts of distance, both literal and figurative.
[tex]Distance (s) = 400km \\= 400 \times 1000m \\= 400,000mTime (t) = 10h \\= 10 \times 3600s \\= 36,000s\\\\Speed = Distance / Time\\= 400000 / 36000\\= 11.12 ms^{-2}[/tex]
Therefore, the rate of change of distance that is speed is [tex]11.12 ms^{-2}[/tex].
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Phil’s age is 7 years more than times Peter’s age. Also, 4 times Phil’s age is 2 years less than twice Peter’s age. If x is Peter’s age in years, identify the equation that represents this situation and identify the solution to the equation
Answer:
simultaneous equations
Step-by-step explanation:
phils age =7x
Peter age=x
scenario 2
phils age = 4(7x)
Peter age= 2x-2
[tex]7x + x = 4(7x) + 2x - 2[/tex]
Please help me with this on the image
Step-by-step explanation:
The total of the number of computers he sold in 2015 is 67.
The total of the number of computers he sold in 2016 is 61.
The total of the number of computers he sold in 2017 is 71.
He sold 35 computers in Quarter 1, 24 in Quarter 2, 61 in Quarter 3, and 79 in Quarter 4.
He sold the most computers in 2017 and the least in Quarter 2.
Therefore, to find the total number of computers he sold all time, we add 67, 61, and 71 together to get 199.
Hope this helped!
Answer with Step-by-step explanation:
From the given table
(a)
In quarter 1
Computer sold in 2015=12
Computer sold in 2016=15
Computer sold in 2017=8
Total computer sold in quarter 1=12+15+8=35
In quarter 2
Computer sold in 2015=9
Computer sold in 2016=10
Computer sold in 2017=5
Total computer sold in quarter 2=9+10+5=24
In quarter 3
Computer sold in 2015=21
Computer sold in 2016=17
Computer sold in 2017=23
Total computer sold in quarter 3=21+17+23=61
In quarter 4
Computer sold in 2015=25
Computer sold in 2016=19
Computer sold in 2017=35
Total computer sold in quarter 4=25+19+35=79
In 2015
Total number of computer sold=12+9+21+25=67
In 2016
Total number of computer sold=15+10+17+19=61
In 2017
Total number of computer sold=8+5+23+35=71
(b)He sold the most computers in 2017
(c) He sold the least computers in quarter 2.
Whats the answer hurry !!
Answer:
[tex]=\frac{81m^2n^5}{8}[/tex]
Step-by-step explanation:
One is given the following expression:
[tex]\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]
Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:
[tex]=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}[/tex]
[tex]=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}[/tex]
[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]
Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:
[tex]=\frac{81m^-^4n^8}{8m^-^6n^3}[/tex]
[tex]=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}[/tex]
[tex]=\frac{81m^-^4^+^6n^8^-^3}{8}[/tex]
[tex]=\frac{81m^2n^5}{8}[/tex]
2x - y - 4 = 0
3x + y - 9 = 0
What is the solution set of the given system?
A. {(6, 5)}
B. {(5, 6)}
C. {(13/5, 6/5)}
D. {(6/5, 13/5)}
Step-by-step explanation:
+ Both equations
You will get : 5x=13 ; x=13/5
and put x to the first equation
2*13/5-y=4
y=6/5
(13/5;6/5)
Answer is C
Help with this plz?
Topic (Similarity)
Answer:
MATH
Step-by-step explanation:
simplify (4+√3)(4-√3)
Answer:
13
Step-by-step explanation:
(4+√3)(4-√3) = (4)^2-(√3)^2 =16-3 = 13
Answer:
Step-by-step explanation:
(a + b)(a -b) =a² - b²
a = 4 and b = √3
(4 + √3)(4 - √3)= 4² - (√3)²
= 16 - √3*√3
= 16 - 3
= 13
it began 63°F, and the temp changed by 8°F over the course of 6 hours whats the minimum and maximum???
Answer:
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Step-by-step explanation:
Beginning temperature: 63° F
Change in temperature: 8° F
If the temperature decreased: 63° F - 8 °F = 55° F
If the temperature increased: 63° F + 8° F = 71° F
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
find the measure of the indicated angle to the nearest degree
Answer:
39.401
Step-by-step explanation:
f(x) = – 2x
g(x) = 8x2- 5x+7
Find (f.g)(x).
f(x) = -2x
-2x = 0
x = 0/-2
x = 0
Now putting 0 as x in g(x)
g(x) = 8x^2 - 5x + 7
g(0) = 8(0)^2-5(0)+7
= 0 - 0 + 7
= 7
Answered by Gauthmath must click thanks and mark brainliest
Is the equation below written in standard form? If not, select which explanation best applies to why the equation
is not written in standard form.
12 = 2x + 4y
A. the requirement that A 20 is not satisfied
B. the requirement that A and B are not both zero is not satisfied
C. A, B, and C do not have a greatest common factor of 1
D. the equation is written in standard form
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers
12 = 2x + 4y , that is
2x + 4y = 12 ← is in standard form
Find the value of x. I need help ASAP
Answer:
x is 30 degrees
Step-by-step explanation:
6. 792 = *
A. (7 x 10) + (3 x 4) + (2 x 1)
B. (7 x 11) + (3 x 3) + (2 x 1)
C. (7 x 11) + (3 x 4) + (2 x 1)
D. (7 x 10) + (3 x 3) + (2 x 1)
Answer:
D. (7×10) + (3×3) + (2×1)
Step-by-step explanation:
(7×10)=70 + (3×3)=9 + (2×1)=2
=70+9+2
=792
Four students are playing a multi-level video game. Leo is playing the first level in the game.
Ralph is six levels above Leo.
Mike is two levels below Ralph.
Don, who is playing the last level of the game, is five levels above Mike.
How many levels does the game have?
Answer:
10 levels
Step-by-step explanation:
Ralph is on level 7
Mike level 5
Don level 10 and is playing the last one of game
The game has 10 levels
Leo is playing the first level and Ralph is sex levels above Leo. This means that Ralph is playing level:
= 1 + 6
= 7
Mike is two levels below Ralph which means that Mike is playing level:
= 7 - 2
= 5
Don is playing the last level and is five levels above Mike which means that Don is playing level:
= 5 + 5
= 10
Don is playing level 10 which is the last level so the game has 10 levels.
Find out more at https://brainly.com/question/23623247.
find the missing side of triangle
Using Pythagoras Theorem
[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{H^2-P^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{29^2-21^2}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{841-441}[/tex]
[tex]\\ \sf\longmapsto B=\sqrt{400}[/tex]
[tex]\\ \sf\longmapsto B=20[/tex]
** SOMEBOBY HELP ME**
Answer:
Step-by-step explanation:
If these were similar, then the ratio 35/18 (the top and bottom measures from each of the polygons) would have to equal the ratio 63/10 (the side measures from each of the polygons).
35/18 = 1.944444
63/10 = 6.3
They are not similar because the simplified ratios are not the same.
(|5 - 3x | - 1) - ( 1 - 3x ) = 0
(| 5 - 3x | - 1) - (1 - 3x) = 0
|5 - 3x| - 1 - 1 + 3x = 0
|5 - 3x| - 2 + 3x = 0
1) (5 - 3x) - 2 + 3x = 0, if 5 - 3x >= 0
3 = 0. has no solutions
2) -(5 - 3x) - 2 + 3x = 0, if 5 - 3x < 0
-5 + 3x - 2 + 3x = 0
6x = 7
x = 7/6
5 - 3x < 0
-3x < -5
x > 5/3.
has no solutions
Find the 27th term of the arithmetic sequence 15, 17.25, 19.5, 21.75,...
Answer:
The 27th term is 73.5.
Step-by-step explanation:
We want to find the 27th term of the arithmetic sequence:
15, 17.25, 19.5, 21.75, ...
We can write a direct formula. Recall that the direct formula for an arithmetic sequence is given by:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
From the sequence, we can see that our initial term a is 15.
To find the common difference, subtract a term and its previous term. Thus, the common difference will be:
[tex]d=17.25 - 15 = 2.25[/tex]
Thus, our direct formula is:
[tex]x_n=15+2.25(n-1)[/tex]
To find the 27th term, let n = 27. Substitute and evaluate:
[tex]\displaystyle \begin{aligned} x_{27} &=15+2.25((27)-1) \\ &= 15+2.25(26) \\&= 15+58.5 \\ &= 73.5\end{aligned}[/tex]
Thus, the 27th term is 73.5.
What is the solution set to this equation?
log_4(x + 3) + log_4x = 1
Answer:
x=1
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
We know that loga(b) + loga(c) = loga(bc)
log_4(x + 3)x = 1
Raise each side to the base of 4
4^log_4(x + 3)x = 4^1
(x+3)x = 4
x^2 +3x = 4
Subtract 4 from each side
x^2 +3x -4 = 0
Factor
(x+4) (x-1) =0
Using the zero product property
x= -4 x=1
But x cannot be negative since logs cannot be negative
x=1
Answer:
A.. x = 1.
Step-by-step explanation:
log_4(x + 3) + log_4x = 1
log_4 x(x + 3) = log_4 4
Removing the logs:
x(x + 3) = 4
x^2 + 3x - 4 = 0
(x + 4)(x - 1) = 0
x = 1, -4.
We can ignore the -4 as there is no log of a negative.
I WILL BE CHOOSING THE BRAINLIEST! PLEASE HELP ME!
What are different types of tools to find sides or angles in triangles. List and explain the conditions in which they are best applied.
(For example, the Pythagorean Theorem is particularly useful when there is a right triangle and two known sides and the third side is unknown.)
Answer:
If the triangle is similar by any axiom then the ratio of their sides will be equal then you can easily find the side of the triangle
OR
You can also find it by congurency.
Hope this helps
a. linear pair
b. vertical angles
c. complementary angles d. supplementary
Answer:
b. vertical angles
Step-by-step explanation:
<2 and <5 are vertical angles
They are formed by the same lines, are opposite each other and share a vertex. Vertical angles are equal
Determine the perimeter of the following figure
pls help! ill mark brainliest
Answer:
Step-by-step explanation:
Use Pythagorus to find the length of the unmarked length
c^2 = a^2 + b^2
a = 5
b = 17 -10 = 7
c = ?
c^2 = 5^2 + 7^2
c^2 = 25 + 49
c = sqrt(74)
c =8.602
P = 5 + 10 + 17 + 8.602
P = 40.602
if line 4x+ky=11 and line y=8x-3 are parallel find the value of k
pls help me asap thank you step by step please!!
Answer:
k=-1/2
Step-by-step explanation:
u have to change line 4x + ky=11 to this form:
y=11/k-4x/k
then, if 2 lines are parallel, their slopes have to equal
so: 8=-4/k -> k=-1/2
Amy has four more 20c coins than 5c coins. The total value of all her 20c and 5c is $3.80. How many 5c coins does Amy have?
Answer:
Amy has 12 5¢ coins
Step-by-step explanation:
Let x represent 20¢ coins and y represent 5¢ coins.
Amy has four more 20¢ coins than 5¢ coins. Hence:
[tex]x=y+4[/tex]
And the total value of all her coins is $3.80. Thus:
[tex]0.2x+0.05y=3.8[/tex]
This yields a system of equations:
[tex]\displaystyle \begin{cases} x=y+4 \\ 0.2x+0.05y=3.8\end{cases}[/tex]
We can solve by substitution. Substitute the first equation into the first:
[tex]\displaystyle 0.2(y+4)+0.05y=3.8[/tex]
Distribute:
[tex]\displaystyle 0.2y+0.8+0.05y=3.8[/tex]
Combine like terms:
[tex]\displaystyle 0.25y = 3[/tex]
And divide both sides by 0.25. Hence:
[tex]y=12[/tex]
Thus, Amy has 12 5¢ coins.
Using the first equation:
[tex]x=y+4[/tex]
Substitute:
[tex]x=(12)+4=16[/tex]
Thus, Amy has 16 20¢ coins.
In conclusion, Amy has 12 5¢ coins and 16 20¢ coins.
find the area of a triangle with a base of 12 ft and a height of 2ft
Answer:
1/2×2×12=12 feet
Step-by-step explanation:
1/2× base area × height
Select THREE expressions that are equivalent to -16x - 68.
A. -4(4x - 17)
B. -2(8x + 34)
C. 2( - 8x - 34)
D. 4( - 4x - 17)
E. 8( - 2x - 8)
got it wrong the first time :(
Answer:
b, c, d
Step-by-step explanation:
please help I will give brainly, please and thank u :D
1 . the answer is wrong . correct answer is 3,531.33
2. I would give you suggestions that you need to work on your calculations skills
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6, la probabilidad de que apruebe un estudiante B es 0.4 y la probabilidad de que ambos estudiantes aprueben es 0.3. ¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
Answer:
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Step-by-step explanation:
La probabilidad condicional :
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
En el cual:
P(B|A) es la probabilidad de que ocurra el evento B, dado que A sucedió.
[tex]P(A \cap B)[/tex] es la probabilidad de que ocurran tanto A como B.
P(A) es la probabilidad de que ocurra A.
En esta pregunta :
Evento A: Estudiante A aprueba.
Evento B: Estudiante B aprueba.
La probabilidad de que el estudiante A apruebe un examen de MM-100 es 0.6
Entonces [tex]P(A) = 0.6[/tex]
La probabilidad de que ambos estudiantes aprueben es 0.3
Entonces [tex]P(A \cap B) = 0.3[/tex]
¿Cual es la probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3}{0.6} = 0.5[/tex]
0.5 = 50% probabilidad de que apruebe el estudiante B dado que el estudiante A aprueba.
Number 13 I don’t get it
===========================================
Explanation:
The two equations given to us are
ab = 3ab^2 = 18Divide the second equation over the first equation and that would lead to b = 6
Notice how the 'a' terms divide to 1 and go away, i.e. cancel out.
The b terms divide to (b^2)/b = b
The right hand side values divide to 18/3 = 6
So that's how we end up with b = 6
-------------------------
Now if b = 6, then we can say,
ab = 3
a*6 = 3
a = 3/6
a = 1/2
Or we could say
ab^2 = 18
a*6^2 = 18
a*36 = 18
a = 18/36
a = 1/2
SOMEONE PLEASE HELP ME ITS URGENT (PICTURE)
Answer:
Question #1
x and its opposing side are equal in length. One of the sides have no fence.Set up an equation to find x:
[tex]x+x+10=26\\2x=26-10\\2x=16\\x=8[/tex]
The length of the side marked x is 8.0 m.
Question #2
New length = 10 + 1 = 11 cmNew width = xNew perimeter = old perimeter = 34 cmSet up an equation to find x
[tex]11+11+x+x=34\\2x=34-22\\2x=12\\x=6[/tex]
The new width is 6 cm.
determine the equation of a parallel line to x=5
Answer:
x = constant ( other than 5)
Step-by-step explanation:
The slope of a line x=5 is undefined
Parallel lines have the same slope
So any line that is vertical ( slope undefined) will be parallel
