Answer:
aₙ = n² + 2n + 1Step-by-step explanation:
a₁ = 4 = 2² = (1 + 1)²
a₂ = 9 = 3² = (2 + 1)²
a₃ = 16 = 4² = (3 + 1)²
a₄ = 25 = 5² = (4 + 1)²
a₅ = 36 = 6² = (5 + 1)²
Therefore:
aₙ = (n + 1)² = n² + 2n + 1
A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr
The average speed of the car for the given distance is 91.97 km/hr.
What is speed and velocity?While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.
Given that, a car started 35 minutes later that is it started after:
35 minutes = 35/60 = 0.5833 hours
Now the distance is given as:
distance = speed x time
Now, for speed = 65 km/hr:
distance = 65t
For the car the time is (t - 0.5833) thus:
distance = speed x time
130 = speed x (t - 0.5833)
Now for speed we have:
30 = s x (t - 0.5833)
130 = st - 0.5833s
130 + 0.5833s = st
130/s + 0.5833 = t
Now, substituting the value of t in the equation of the van we have:
distance = 65t
distance = 65(130/s + 0.5833)
130/s + 0.5833 = distance/65
130/s + 0.5833 = distance/65
130/s + 0.5833 = 130/65
130/s + 0.5833 = 2
s = 91.97km/hr
Hence, the average speed of the car for the given distance is 91.97 km/hr.
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PLEASE HELP I WILL GAVE BRAINIEST. How much people scored at least four goals?
Which of the following options represents the advantage of making a purchase with cash instead of a credit card?
1.The cash payment does not include interest fees.
2.If you don’t have enough money at the time you can still make the purchase.
3.You will worry less if the cash is stolen because the bank will give you your stolen cash back.
4.Cash can be used to make an electronic payment.
Answer: Its number 1 because with credit card a cash payment does have fees and with cash no.
Step-by-step explanation:
If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?
Answer:
0
Step-by-step explanation:
the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail
It cannot be none
Therefore...Probability is 0 of getting 0 heads
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thanks
Please help me with this... figure out the missing part.
Which expression represent the product of x3 + 2x - 1 and x4 - x3 + 3
Answer:
x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
Step-by-step explanation:
(x3 + 2x - 1) (x4 - x3 + 3)
= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3
= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
The expression represents the product [tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]
We have given that,
[tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.
[/tex][tex](x^3 + 2x - 1) (x^4 - x^3 + 3)[/tex]
What is the expression?The expression consists of numbers and arithmetic operators.
It does not contain equality or inequality symbols.
The expression consists of unknown variables.
The expression represent the product of [tex]x^3 + 2x - 1[/tex]and [tex]x^4 - x3 + 3[/tex][tex]= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3[/tex][tex]= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]
Therefore, The expression represents the product [tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]
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giving brainliest! show some work too tysm !
Answer:
the third choice is the answer.
Step-by-step explanation:
the chance of recieve a blue pen
= 0.008
the chance of recieve a blue tote bag
= 0.04
0.008 < 0.04
Plz help me out thanks
Answer:
360 cubic units
Step-by-step explanation:
height = 4 units
length = 10 units
breadth = 6 units
Volume of a cuboid = l × b × h
V = 10 × 6 × 4
V = 10 × 24
V = 240 cubic units
Now a scale factor of 1.5 units is applied to the dimensions,
new volume = 240 × 1.5 = 360
∴ New volume of the prism = 360 cubic units
Answer:
240 cubic units
Step-by-step explanation:
The hypotenuse of a right triangle measures 15 cm and one of its legs measures 8 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.
Aneeta bought 3 3/4 kg apples and 4 1/2 kg guava. What is the total weight of fruits purchased by her?
Answer:
8.25 kg
Step-by-step explanation:
Given that,
Weight of Apples = 3 3/4 kg
Weight of guava = 4 1/2 kg
Total weight of fruits = weight of apples + weight of guava
[tex]=3\dfrac{3}{4}+4\dfrac{1}{2}\\\\=\dfrac{15}{4}+\dfrac{9}{2}\\\\=8.25\ kg[/tex]
So, the total weight is equal to 8.25 kg.
Can someone help me find the missing side and round to the nearest tenth please
Answer:
7.7
Step-by-step explanation:
SOH CAH TOA(tangent = opposite side/adjacent side)
tan (55°) = 11/x
=> x = 11/tan (55°)
=> x ≈ 7.7
Which modified box plot represents the data set?
54, 70, 72, 74, 75, 76, 77, 81, 84, 105
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 60 to 89.25 with the vertical bar inside the box at 71.5.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 66 to 89.25 with the vertical bar inside the box at 75.5.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 65 to 84. The box ranges from 70 to 78.5 with the vertical bar inside the box at 74. One dot marks above fifty-four. One dot marks above one hundred and five.
Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 70 to 84. The box ranges from 71.5 to 81 with the vertical bar inside the box at 75.5. One dot marks above fifty-four. One dot marks above one hundred and five.
Answer:
Step-by-step explanation:
box number two
What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?
Which expression is equivalent to the number 144?
A. 23.32
B. 23.33
C. 24.32
D. 24.36
Answer:
d
Step-by-step explanation:
PLZZZ HELP ITS DUE AT 1:45
Answer:
a= 10 b= -13 c= -3
Step-by-step explanation:
First, you multiply 5x+1 and 2x-3
You then end up with 10x^2-13x-3 which is in ax^2+bx+c form
So, a would be 10, b would be -13, and c would be -3.
In a town of 40,000 people, it is expected 41.9% will watch the Súper bowl. How many people in the town will watch the Súper bowl
Answer:
16,7600
Step-by-step explanation:
Find the area of the trapezoid
Answer:
1. 54ft^2 2. 48ft^2
Step-by-step explanation:
1. A=1/2h(a+b)
A= 1/2x6(10+8)
A=54
2. A=1/2x6(12+4
A=48
Can you help please, ASAP?
Plz help me!!!
Philip rolls a standard number cube
24 times. Which is the best prediction for
the number of times he will roll a number
that is even and less than 4?
A 2
B 3
C 4
D 6
Answer:
i guess the correct answer is A. 2
Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid
Complete question :
Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000
Answer:
49.85%
Step-by-step explanation:
Mean = 17000
Standard deviation = 500
Obtain the Z score, which is the number of standard deviations from the mean :
((17000 - 17000) / 500) = 0
((15500 - 17000) / 500) = - 3
-3 to 3 = (3 standard deviations)
However,
The value here is (-3 to 0) ; which is only 3 standard deviations to the left.
3 standard deviation = 99.7% (empirical rule)
Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved
99.7% / 2 = 49.85%
Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%
simplify
rewrite the expression in the form a^n
helppppppppppppppppppppp
Answer:
1/3
Step-by-step explanation:
because the x axis or horizontal line intersex the line
Answer:
help is done...........................
A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50
A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble? 3/32 3/28 1/4
Answer:
red
Step-by-step explanation:
please help marking brainliest!
Answer:
B. (1, 2)
Step-by-step explanation:
In a function, each value used in as an x-coordinate can be used only once.
Values already used as x-coordinates: -3, 8, 0, -5
The answer cannot have -3, 8, 0, or 5 as an x-coordinate.
The only choice without one of those four values as an x-coordinate is (1, 2).
Answer: B. (1, 2)
Answer:
B
Step-by-step explanation:
-5 is already used
-3 is already being used
0 is already being used
Every x value can only be itself once
I need help : (((((((
the answer is x=-1/3
sorry for the bad quality! please tell me what to fill in... thank you!
Answer: Part A: 3 (yards per second) Part B: 20 (seconds)
Step-by-step explanation:
See answer above :)
For the lengths AB, BC, and AC to equal 19, 12, and 31 respectively, what is
the value of x?
Answer:
11.
Step-by-step explanation:
reduse this fractions 4/8 and 6/10
Answer:
1/2 and 3/5
Step-by-step explanation:
I dunno how to explain this, but I hope it helps!
A loaded truck travels 14 km in 25 minutes. If the speed
remains the same, how far can it travel in 5 hours?
Answer:
Given that truck covers 14km in 25 minutes. Answer: In 5 hours distance travelled = 5(60)(14)/25 = 168 km.
Step-by-step explanation:
brainliest?