Initial velocity = 63m/s
Final velocity = 75m/s
Time taken = 4.2
We have to find acceleration of car[tex].[/tex]
_________________________________
◈ Acceleration is defined as the rate of change of speed.
a = (v - u) / tIt is a vector quantity having both magnitude as well as direction.
SI unit : m/s²
⇒ a = (v - u) / t
⇒ a = (75 - 63) / 4.2
⇒ a = 12/4.2
⇒ a = 2.85 m/s²The speed of a car traveling on a straight road increases from 63 m/s to 75 m/s in 4.2 seconds. What was the car's acceleration?
Answer:[tex] \rm\red {Given:} [/tex]
u ( initial velocity ) = 63m/sv ( final velocity ) = 75m/st ( time taken ) = 4.2s[tex] \rm\red {To \: find:} [/tex]
a ( acceleration ) =?[tex] \rm\red {Calculation:} [/tex]
We know that,
[tex] {\huge {\boxed {\tt { a = \dfrac{v-u} {t}}}}} [/tex]
Substituting values-
[tex] \sf { \qquad \leadsto a = \dfrac{75-63}{4.2}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{12}{4.2}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{\cancel {12} {} ^{\: \: 6} \times 10}{\cancel {42} {} ^{\: \: 21} }} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{\cancel6 {} ^{\: \: \: 2}\times 10 }{\cancel {21} {} ^{\: \: 7}}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{2 \times 10}{7}} [/tex]
[tex] \sf { \qquad \leadsto a = \dfrac{20}{7} = 2.85} [/tex]
[tex] \therefore [/tex] Acceleration of the car was [tex] \sf { 2.8m/{s} ^{2}} [/tex]
_________________________________You are saving to buy a new phone you have $150 in your bank account and can save $55 each week assuming you don’t spend any money write an expression to represent the amount of money you will have in your bank account after W weeks
Answer:
150+55w
Step-by-step explanation:
150+55w
150 never changes
(55)(w), 55 changes depending on number of weeks
Answer:
The expression is: 150 + 55W
Step-by-step explanation:
amount already in your a/c = $150
Amount saved per week = $55
Number of weeks to save for is W
Amount saved in W weeks is $55W
Total amount saved in W weeks is $150 + $55W
Ignoring the symbols, the expression is 150+55W
Evaluate the expression. Use y = 5 and z = 3
Yz² - 3
Yz²-3
y = 5
Z = 3
5(3)² -3 =5 × 9 - 3 , we all remember bracket of multiplication , addition and subtraction( BODMAS)
so we'll solve the multiplication first, followed by substraction so 5×9 = 45
45 -3= 42
screen shot below evaluating functions please help
Answer: I believe the answer is 5.
Step-by-step explanation:
f(1) = -(-1)^2 -4(-1)
f(1) = 1^2 + 4
f(1) = 1 + 4
f(1) = 5
Hope this helps!
B is the midpoint of AC
А
B
If:
AB = 62 – 7 and
BC = 5x - 3
Find AC
Answer:
AC = 110Step-by-step explanation:
B being the midpoint of AC means:
AB = BC = 0.5AC
AB = 0.5AC ⇒ AC = 2AB
AC = 2(62 - 7) = 2×55 = 110
3. Jill sold a third of her comic books and then bought 24 more.
She now has 30. With how many did she begin?
Help me out
Answer:
18
Step-by-step explanation:
30-24= 6
so when she sold them she had 6 left over
it says she sold one third so we need to find out that 6 is a third of what
to find that out now we multiply 6x3=18
jill had 18 books to start out with
find the value of n and w if w is between x and y.
wx = 6n -10, xy = 17, and wy = 3n
answer:
n=3
Step-by-step explanation:
6n-10+3n=17
6n+3n=27
9n=27
n=3
7x − 14 = 7(x − 2)
please help ❤️
Answer:
Infinite Solutions
Step-by-step explanation:
Let's solve this equation my simplifying it so that we have x on one side.
Apply the distributive property on the right side:
[tex]7x - 14 = (7\cdot x) + (7\cdot -2)\\\\7x-14 = 7x-14[/tex]
Woah, that's strange. We have the exact same thing on both sides of the equation. This means there are infinite solutions. If we tried simplifying this, we'd just end up with 0 = 0.
Test it out! Any value of [tex]x[/tex] will work for this equation.
Hope this helped!
Milk creamery charges $2 for a cup of ice cream and $0.75 for each topping (t) . Justin wants a cup of ice cream with for toppings
Answer:
$5
Step-by-step explanation:
$2 for cup
$0.75 per topping
4 toppings $0.75 a piece
4 × .75 = 3.00
$2 + $3 = $5
The expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.
Given that, Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t).
We need to find which expression best represents the situation, and how much will the ice cream cost Justin.
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be addition, subtraction, multiplication, or division.
Now, the expression for the given situation is 2+0.75x
Justin wants a cup of ice cream with four toppings, so the cost of ice cream=2+0.75(4)=$5
Therefore, the expression which represents the given situation is 2+0.75x and the ice cream cost Justin is $5.
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Your question is incomplete, probably the complete question/missing part is:
Milk Creamery charges $2 for a cup of ice cream and $0.75 for each topping (t). Justin wants a cup of ice cream with four toppings. Which expression best represents the situation, and how much will the ice cream cost Justin?
Use elimination to solve and match each system of equations to the correct solution . I’ll mark u brainliest
-3x+8y=73
X-7y=-46
Answer:
Step-by-step explanation:
Let's solve for x.
−3x+8y=73
Step 1: Add -8y to both sides.
−3x+8y+−8y=73+−8y
−3x=−8y+73
Step 2: Divide both sides by -3.
−3x
−3
=
−8y+73
−3
x=
8
3
y+
−73
3
Answer:
x=
8
3
y+
−73
3
x−7y=−46
Step 1: Add 7y to both sides.
x−7y+7y=−46+7y
x=7y−46
Answer:
x=7y−46
A racecar driver holds the record for the fastest speed of 212.809 miles per hour.
Part A
What is 212.809 rounded to the nearest hundredth? Enter your answer in the box.
Part B
Which explains how you round 212.809 to the nearest hundredth?
A.
Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the thousandths place is greater than or equal to 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
Answer: 212.81
C. Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place
Step-by-step explanation:
What is 212.809 rounded to the nearest hundredth?
When we want to round off 212.809 to the nearest hundredth, the main thing that we will need to consider is for us to look at the thousandths value that is contained in the number of 212.809, and this is is 9.
Since 9 is more than 5, iteams that we will have to add 1 to the number at the hundredth place. This.meane we will add 1 to 0 which will give us 1 and we them drop the digit in the thousandths place. Therefore,
212.809 = 212.81 to nearest hundredths
A file that is 242 megabytes is being downloaded. If the download is 17.1% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
Answer:
4.1 megabytes
Step-by-step explanation:
well we use the rule of three
242 megabytes ------- 100%
x megabytes -------- 17.1%
(x megabytes)(100%)=(242 megabytes)(17.1%)
[tex]x=\frac{242*17.1}{100} \\\\x=\frac{4138.2}{100} \\\\x=4.1382\\\\x=4.1[/tex]
so there have been downloaded 4.1 megabytes
Let f(x) = 27x5 − 33x4 − 21x3 and g(x) = 3x2. Find f of x over g of x
1 inch corresponds to 4ft, what is 2 1/4 inches converted to feet
Answer:
9 feet
Step-by-step explanation:
2 1/4 can be written as an improper fraction 9/4
we are given:
1 inch ----> corresponds to 4 feet
hence,
2 1/4 inch ---> corresponds to 4 feet x 2 1/4 = 4 x (9/4) = 9 feet
Which function has a domain of x>-5?
Answer:
f(x)=x-5 is a linear function
Step-by-step explanation:
so there are no restrictions to what x can be. The domain is all real numbers. In interval notation, we show that is can be anything from negative infinity through infinity like this: This says that the lower limit of the domain is negative infinity and the upper limit is positive infinity.
Mr. Smith is a lawyer who charges the same amount for each hour. He charges $576 for 8 hours of work. How much will he charge for 5 hours?
x = 7 + 3y
5x + 6y = 14
Which ordered pair (x,y) is the solution to the system of equations above?
x = 7 + 3y
or, x - 3y - 7 = 0 ........ (i)
5x + 6y = 14
or, 5x + 6y - 14 = 0 .........(ii)
To Find:The value of x and y.
Solution:By dividing eq. ii by 2, we get
5/2x + 3y - 7 = 0 ........ (iii)
By adding eq. i and eq. iii, we get
15/2x = 0
or, x = 0 ........(iv)
By putting eq.(iv) in eq. (i), we get
0 - 3y - 7 = 0
or, -3y = 7
or, y = -7/3
Answer: ( 0, -7/3 )The value of x and y is 0 and -7/3 respectively.
what is the value of the expression 4w+9 when w=5
Answer:
4(5) +9 =29. Hope this helped:)
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
First, input 5 instead of w:
4(5) + 9
Then, distribute (get rid of parentheses):
20 + 9
Finally, simplify (add):
The answer is 29
Hope this helps ^^
Rylie paid $12 for two cans of racquetballs. The green bars represent the amount she spent, and the blue bars represent the number of cans she bought. What is the ratio of how much Rylie paid to the number of cans she purchased, in simplest form?
Answer:
18$
Step-by-step explanation:
If you divide 12 by 2 then you will get 6 so 6 times 3=18.
sorry if I'm wrong.
Answer:
18:3 should be the answer
Step-by-step explanation:
solve quickly please
Answer:
44
Step-by-step explanation:
3x-5+x+1=180 [linear pair]
4x-4=180
4x=176
x=44
A family is going on a 603-mile car trip. So far they have driven 24% of the distance. Which is the best estimate for the number of miles they have driven so far?
Answer:
the best eatimated answer would be 150 miles.
24% of 603 = 144.72
so you can round it to 150
Answer:
24% of 603 is 144.72, so the best estimate would probably be 150 miles.
(-4, 6) and (3,-7) how do I solve this?
Answer: - 13/7
Mark me Brainliest
What is the value of n |n|=5
Answer:
N x lNl=5 answer is -5
Step-by-step explanation:
Took the test today
Answer:
Step-by-step explanation:
The three steps of the problem solving process are
Find the missing angles
I need help with the linear triple and any other ones would be helpful thank you
Rewrite as a
simplified fraction.
_
0.1 = ?
Answer:
1/10
Step-by-step
What is the simplified form of (4m2n−3)2⋅12n138m20?
The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶ so option (D) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
⇒ [(4m²n⁻³)² × 12n¹³]/(8m²⁰)
⇒ [(16m⁴n⁻⁶) × 12n¹³]/8m²⁰
⇒ 192m⁴n⁷/8m²⁰
⇒ 24n⁷/m¹⁶
Hence "The simplified form of the given expression [(4m²n⁻³)² × 12n¹³]/(8m²⁰) will be 24n⁷/m¹⁶".
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pqrs is a rectangle with sides ps=5cm and pq =12cm find the length of qr ,sr and the two diagonals pr and qs.
tell the answer
PQRS is a rectangle.
PS = 5cm
PQ = 12cm
To Find:The length of qr ,sr and the two diagonals pr and qs.
Solution:Opposite sides of a rectangle are equal.
QR = PS = 5cm
SR = PQ = 12cm
By using Pythagoras Theorem, we get
PR = √PS^2 + SR^2
or, PR = √25 + 144
or, PR = √169
or, PR = 13cm
Diagonals of a rectangle are equal.
QS = PR = 13cm
Answer:QR = 5 cm
SR = 12 cm
PR = 13 cm
QS = 13 cm
Estimate the number of school-aged children in the city where the population is approximately 60,000, if 1 of every 10 citizens is a school-aged child. If 500 children can attend each school, about how many schools will the city need?
1 out of 10 are school aged.
Divide total population by 10:
60,000 / 10 = 6,000 are school aged.
Each school holds 500, divide school aged by 500:
6,000 / 500 = 12
They would need 12 schools.
The number of schools the city with the population 60,000 requires are 12.
Given that, the number of school-aged children in the city where the population is approximately 60,000.
In population 1 out of 10 are school aged.
Divide total population by 10
60,000/10 = 6,000 are school aged
Each school have 500 children, so the number of schools are
6,000/500 = 12
Therefore, the number of schools the city needs are 12.
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Evaluate ( r - s) 3 + r 2 if r=8 s=5
If n represents a number then write an expression for two less than one fourth of n
Answer: [tex]\frac{1}{4}n-2[/tex]
This is the same as [tex]\frac{n}{4} - 2[/tex] and it is also equivalent to [tex]0.25n-2[/tex]
=====================================================
Explanation:
n is some placeholder for a number
one fourth of that number is [tex]\frac{1}{4}n[/tex] which is the same as [tex]\frac{n}{4}[/tex] or [tex]0.25n[/tex] since 1/4 = 0.25
From here, we subtract off 2 to get [tex]\frac{1}{4}n-2[/tex] as one possible final answer.