The 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? m/s2 = meters per
second squared
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]
_________________________________A=1/2 BH where A: area, B: base, & H: height. If the Base of a triangle is 7 ft and the Height of the triangle is 4 ft, what is the Area of the triangle? Question 12 options: 56 ft 28 ft 14 ft 37 ft
Answer:
[tex]\boxed {\tt A= 14 \ ft^2}[/tex]
Step-by-step explanation:
The area of a triangle can be found using the following formula.
[tex]A=\frac{1}{2} bh[/tex]
where [tex]b[/tex] is the base and [tex]h[/tex] is the height.
In this triangle, the base is 7 feet and the height is 4 feet.
[tex]b= 7 \ ft\\h= 4 \ ft[/tex]
Substitute the values into the formula.
[tex]A=\frac{1}{2} bh[/tex]
[tex]A=\frac{1}{2} (7\ ft)(4 ft)[/tex]
Multiply 7 ft and 4 ft.
[tex]A=\frac{1}{2} (28 \ ft^2)[/tex]
Multiply 28 square feet by 1/2 or divide 28 square feet by 2.
[tex]A= 14 \ ft^2[/tex]
The area of the triangle is 14 square feet.
3^-4=????? HURRRRYYYYYYYYYYYYYYYYY
Answer:
Here’s the answer :)
Step-by-step explanation:
Answer:
[tex] {81}^{ - 1} \: or \: \frac{1}{81} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 4} [/tex]
Apply rule :
[tex] {a}^{ - 1} = \frac{1}{ {a}^{1} } [/tex]
[tex] \frac{1}{ {3}^{4} } = \frac{1}{81} \: or \: {81}^{ - 1} [/tex]
If a line has a slope 2/3 a line that is perpendicular has a slope of what
Answer:
-1.5
Step-by-step explanation:
The product of slopes of two perpendicular lines = -1
If line one has a slope of 2/3;
Let line two, perpendicular to line one, has a slope of a
2/3 × a = -1
a = -1 ÷ 2/3 = -3/2 = -1.5
The table represents the equation y = 2 – 4x The x-values are the The y-values are the The missing value in the table for x = –1 is y =
Answer:
1.) inputs
2.) output
3.) 6
Step-by-step explanation:
Hopefully this helps you ;)
pls mark brainlest :)
The missing value for x=-1 is y=6
How will you solve the equation?By substituting the known values in the equation gives the unknown value.
Given equation is y=2-4x
To find y when x=-1
Substitute x=-1 in given equation,
we get y=2-4(-1)
y=6
Hence, the value of y when x=-1 is 6
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F(x)=-5x+8
What value of x would make f(x)=23?
Need Answers ASAP
Answer:
-3
Step-by-step explanation:
23=-5x+8
23-8=-5x
15=-5x
x=-3
Answer:
x=-3
Step-by-step explanation:
23=-5x+8
-8 -8
15=-5x
______
-5 -5
-3=x
Write an absolute value equation that has the solutions x= -6 and x = 10.
The equation is blank
HERES THE EXAMPLE: If | x | = 3, we know that x may be either +3 or - 3,
since both are 3 units from the origin.
Notice that the answer is "OR", since x cannot be both -3 and +3 at the same time.
ANSWER: so the x=-6 would be would just be six units -6 to 0 would be 6
the x=10 would be -10
A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5
Answer:
Surface Area =237.5
Answer:237.5
Step-by-step explanation:
1. Ilove ordering cookies from Tiff's Treats (not
sponsored, although I wouldn't object!). If Tiff's
Treats charges a delivery fee of $1 and costs $8.50
per half-dozen, which equation relates my cost, c,
and the number of half-dozens, h, I ordered?
a) C = 9.500h
b) C = 8.50h + 1
c) c = h + 8.50
d) h = 9.50c
e) None of these
c = cost
h = # of half-dozens ordered
c = $8.50h + $1 is the correct answer.
Find the common factors of:
(i) 24 and 28 (ii) 12 and 18 (iii) 36 and 48
(i) 1, 2, 4
(ii) 1, 2, 3, 6
(iii) 1, 2, 3, 4, 6, 12
:)
Which graph shows a polynomial function of an odd degree?
Answer:
THE ANSWER IS C ON EDGE.
Step-by-step explanation:
If both sides of the graph are pointing in the same way, THE FUNCTION HAS AN EVEN DEGREE.
The degree of a polynomial is the highest power of the polynomial.
Graph 3 has an odd degree.
From the attachments, we have the following highlights
The first graph crosses the x-axis, 4 timesThe second graph crosses the x-axis, 6 timesThe third graph cross the x-axis, 3 timesThe fourth graph cross the x-axis, 2 timesThe above highlights mean that:
Graphs 1, 2 and 4 have even degrees, because they have an even number of x-interceptsGraphs 3 have an odd degree, because it has an odd number of x-interceptsHence, graph 3 has an odd degree.
Read more about degrees of polynomials at:
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Two lines and a ray intersect at a
point as shown in the diagram
Write and solve an equation to find the value of 2 Find the measure of
DAE
110°
A
D
(+4)
30
E
Answer:
m<DAE = 80°
Step-by-step explanation:
Given that m<CAB = 110°,
m<DAE = (x + 4)°,
m<EAF = 30°,
m<EAF + m<DAE = m<DAF (angle addition postulate)
30° + (x + 4)° = m<DAF (substitution)
(34 + x)° = m<DAF
<DAF and <CAB are vertically opposite angles. Vertically opposite angles are said to be congruent. Therefore:
m<DAF = m<CAB
(34 + x)° = 110° (substitution)
The equation above can be used to solve for x as follows:
34 + x = 110
x = 110 - 34 (Subtracting 34 from both sides)
x = 76
m<DAE = (x + 4)°
Plug in 76, to replace x
m<DAE = 76 + 4
m<DAE = 80°
1) The price of a dress is $89. Susan has a coupon for $50 off ger entire purchase and another coupon for 50% off one item. The store's policy does not allow for both coupons to be used at once. Which monetary incentive would give Susan a better buy. $50 off coupon is a better buy 50 of one item is a better buy.
First coupon:
89 - 50 = $39 (discount price)
Second coupon:
50% = 0.5
89 * 0.5 = 44.5
89 - 44.5 = $44.5 (discount price)
39 < 44.5
Therefore, the better option is using the $50 off one item.
Best of Luck!
60 is 1/100 of _______
Answer:
that is 60 percent (calculated percentage %) of number 100? Answer: 60.
Please help me I’ll give brainliest
Answer:
B, C, D
Step-by-step explanation:
Which expression represents the perimeter of the rectangle above?
6x + 3
10x + 6
8x2 + 6x
12x + 6
Answer:
12x+6
Step-by-step explanation:
(4x+3)+(4x+3)+(2x)+(2x)
4+4+2+2=12, 3+3=6
12x+6
please answer this I really need it!
Answer: 4/49 m^2
Step-by-step explanation:
Multiply
2/7 x 2/7 = 4/49
Answer: 4/49 m^2
Step-by-step explanation:
Area of a square = side X side
Side is 2/7
So, Area = (2/7)*(2/7) = 4/49 m^2
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, ...
O-6
0-4
O4
O 6
The common difference between successive terms in this arithmetic sequence is 6.
Option D is the correct answer.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The common difference between successive terms in the sequence 2, 8, 14, 20, 26, ... is 6.
To see why, notice that each term in the sequence is obtained by adding 6 to the previous term.
For example, to get from 2 to 8, we add 6. To get from 8 to 14, we add another 6.
This pattern continues for each successive term in the sequence.
Thus,
The common difference between successive terms in this arithmetic sequence is 6.
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(-4.5)to the power of 0
Answer:
-1
Step-by-step explanation:
I don’t know how to do this
Answer:
60yd
Step-by-step explanation:
First you multiply 3yd, and 6yd to get the area of 18 yards.
Second, you multiply the length of the triangle, so 6*7 is 42.
Finally you add both of the areas together to get the area of the full shape.
Evaluate the following expression
Answer:
1/216
Step-by-step explanation:
6^-3= 1/6^3
=1/216
Answer;
6³-3³
6×6×6-3×3×3=
216-27=199
199-1=answer
my number eight dosent work please understand
Joanie weighs 102 pounds. Her father weighs 2.2 times as much as Joanie. How much does her father weigh?
Answer:
224.4
Step-by-step explanation:
102x2.2=224.4
Could I please have Brainliest.
Can someone please help? This is due today, and I have NO CLUE
Step-by-step explanation:
Multiplication......
5+5=
9+3=
20+15=
25+38=
what is 60% of 86 ?
Answer:
51.6
Step-by-step explanation:
Answer:
51.6
Step-by-step explanation:
60% = 0.6
0.6x86=51.6
A baker needs 2 pounds of flour and 3 sticks of butter to
make 64 cupcakes. At these rates, how many pounds of
flour and how many sticks of butter would the baker
need to make 352 cupcakes?
Answer:
11 pounds of flour and 16.5 sticks of butter
Step-by-step explanation:
2/64 = 0.03125
3/64 = 0.046875
0.03125 * 352 = 11
0.046875 * 352 = 16.5
Answer:
15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.
Step-by-step explanation:
w + 1200+209 = 2000
This might seem easy but I seriously don’t know how to get to the answer
Answer:
591
Step-by-step explanation:
added the 2 in the equation and minused 2000 from that
During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in the height of the water over an 8 week period?
Answer:
40 inches
Step-by-step explanation:
We know that the height of water in a pool decreased 5 inches per week.
This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.
We know [tex]x=8[/tex], since we need to find the change for 8 weeks.
[tex]y = -5\cdot 8[/tex]
[tex]-5 \cdot 8 = -40[/tex]
[tex]y=-40[/tex]
The change will be the absolute value of -40, which just makes it positive, so 40.
Hope this helped!
Answer:
40 inches evaporated
Step-by-step explanation:
5 in / week
Multiply 5 in by 8 wks
= 40 inches of water evaporated over 8 wks
what number cubed equals 2744
Find the difference quotient and simplify the answer. g(x) = 3x - 1
Answer:
Consider the difference quotient formula.
f(x+h)−f(x) / h
Find the components of the definition.
g(x+h)=3h+3x−1
g(x)=3x−1
Plug in the components.
g(x+h)−gx / h = 3h+3x−1−(3x−1) / h
Simplify = 3