Answer:
6
Step-by-step explanation:
we start with:
n(n + 1) + 3 = 45
n² + 1n = 42
n² + 1n - 42 = 0
n can be either 6 or -7
(n - 6)(n + 7)
since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:
n = 7 ⇒ n(n + 1) + 3 = 45
7(7 + 1) + 3 = 59 WRONG
n = 6 ⇒ n(n + 1) + 3 = 45
6(6 + 1) + 3 = 45 ✓ CORRECT
Answer:
6
Step-by-step explanation:
At the Atlanta United game, a ball flew into the stands. A fan launches the ball at 19.6 feet per second (ft/s) from a 60 ft tall bleacher. The equation for the soccer ball's height, s, at time, t, seconds after the launch is s(t) = −4.9t2 + 19.6t +60. When does the ball hit the ground?
Answer:
6.03s
Step-by-step explanation:
Given the equation for the soccer ball's height, s, at time, t, seconds after the launch expressed as
s(t) = −4.9t2 + 19.6t +60
The ball hits the ground when s(t) = 0
Substitute s(t) = 0 into the expression
0= −4.9t2 + 19.6t +60
Multiply through by -10
0 = 49t²-196t-600
49t²-196t-600 = 0
Factorize
t = 196±√196²+4(600)(49)/2(49)
t = 196±√38416+117600/98
t = 196±√156016/98
t =196±394.99/98
t = 196+394.99/98
t = 590.99/98
t = 6.03secs
Hence the ball bit the ground after 6.03seconds later
The power, P (watts), of a car engine is proportional to the square of its speed, s(m/s) When s= 30 P= 1500 Work out the speed (to 1 DP) when the power is 1715 watts
Answer:
S = 32.1 m/s
Step-by-step explanation:
P = 1,500
S = 30
since P is proportional to S², then we must first determine S² = 900
900 / 1,500 = S² / 1,715
(900 x 1,715) / 1,500 = S²
1,543,500 / 1,500 = S²
S² = 1,029
S = √1,029 = 32.08 m/s ≈ 32.1 m/s
How do I solve 4x+23>-21
Answer:
Inequality Form:
x>-11
Step-by-step explanation:
Interval Notation:
(-11,\infty )
Answer:
Step-by-step explanation:
4x + 23 > -21
4x > -21 -23 (moving 23 to the right side of equation changes the +23 to -23
4x > -44 (adding -21 to -23)
x > -11 (dividing both sides of equation by 4, this keeps the equation the same
Solution: x > -11 (x is greater than negative 11)
Nathan is planning to ride his bike for 24 minutes. If he rides at a rate of 3 miles per hour, how far will he travel?
Answer:
1.2 miles in 24 minutes
Step-by-step explanation:
3 miles per hour = .05 miles per minute
24 x 0.05 = 1.2
Remember that speed is defined as the rate of change of the position respect to the time, thus we can define the relation:
Distance = Spee*Time.
Using this we will get the solution: distance = 1.2 miles
Let's see how to get the solution:
We start with the given information:
Nathan rides for 24 minutes.His speed is 3 miles per hour.So we got a time and we also have a speed, but the time units in these are different.
So knowing that:
1 hour = 60 minutes
(1 hour/60 minutes) = 1
Then we can write:
24 minutes = (24 minutes)*(1 hour/60 minutes) = 0.4 hours
Then we have:
time = 0.4 hours
speed = 3 miles per hour.
Then, using the first equation, we get:
distance = (3 miles per hour)*0.4 hours = 1.2 miles.
If you want to learn more, you can read:
https://brainly.com/question/23774048
Solve: -9/10 + p = 1/5
Answer:
p=11/10
Step-by-step explanation:
Answer:
p=-55
Step-by-step explanation:
A rectangular park is 40m long and 28m broad then find it's area
Identify the terms, coefficients, and constants of the expression. a^2 + 2 + 7b
Step-by-step explanation:
constant=7
coefficient=2
500kg÷60 cm³
Answer =
Answer:
Has something wrong with this question. Kg (Kilogram) is the weight value. And [tex]cm^{3}[/tex] (centimeter square 3) is length or distance value. We can't divide kg with [tex]Cm^{3}[/tex].
Step-by-step explanation:
i dont know what this is i just know it requires work
Answer
1. 6x + 18 = 48
2. x/2 + 6 = 14
Step-by-step explanation:
1. Its 18 plus meaning + then 6$ per hour and we dont know how many hours so you put the X next to it!
2. First he sold half so but we dont know the starting number so we put x/2 then we have to add 6 and we get 16
interquartile range of the wingspans of 74, 71, 75, 80, 67, 84, 77
Answer: 9
Step-by-step explanation:
Population size=7
Lower quartile=71
Upper quartile=80
67 Is or es el 67
Jajaja
Nicholas found the 13th term of the geometric sequence 15, 30, 60, 120 the following way:
A(13) = 15 * 213
A(13) = 15 * 8,192
A(13) = 122,880
Is Nicolas correct? Why or why not? (Make sure to justify your answer) If Nicolas is incorrect please state the correct solution.
Answer: No. Nicolas is wrong.
Step-by-step explanation:
The formula for calculating nth term of a geometric sequence is given as:
= ar^n-1.
where a = first term = 15
r = common ratio = 30/15 = 2
n = 13
Using the formula,
= ar^n-1
= 15 × 2^(13-1)
= 15 × 2^12
= 15 × 4096
= 61440
The 13th term is 61440. Nicolas is wrong.
Write the equation of line
that has slope of 4 and
goes through the point 0-3
Answer:
y=4x-3
Step-by-step explanation:
Solve For: 5x + 2 = 4x − 9
Answer:
Step-by-step explanation:
5x+2=4x-9 -4x from both sides
x+2=-9 take 2 from both sides
x= -11
Answer:
x = -11
Step-by-step explanation:
5x + 2 = 4x - 9
5x = 4x - 11
x = -11
PLEASE ANSWER ASAP!!!!!!!Calculate the quotient below and give your answer in scientific notation.
0.00065
5 x 10-2
?
Answer:
Step-by-step explanation:
0.00065 ÷5*10^-2
0.00065 ÷ 0.05= 0.013
6(c+3) – 4(c + 4)
please help what is the answerrrrrrrr????
Answer:
Step-by-step explanation:
6c + 18-4c + 16
Solving like terms
2c + 34
Answer: 2c + 2
6(c + 3) - 4(c + 4)
= 6c + 18 - (4c + 16)
= 6c + 18 - 4c - 16
= 2c + 2
Step-by-step explanation:
9 over n = 3over 4 solve for n
Answer:
Step-by-step explanation:
9/n = 3/4 Cross Multiply
3n = 36 Divide by 3
n = 36/3
n = 12
Stephanie wants to find out how much a visit to an amusement park will cost her. The amusement park charges a $20 admission fee, as well as $0.50 for each ride, r. The expression 0.50r + 20 represents this situation. Evaluate this expression when r = 15. Explain what this value means in terms of the context of Stephanie's visit to the amusement park.
Answer:
Step-by-step explanation:
0.50(15)+20=x
7.50+20=x
27.5=x
Therefore, x means how much the visit to the amusement park will cost her.
Which function is increasing at the highest rate?
Answer:
D
-6y= -12x-24
/6 /6
change to slope intercept form: y=2x+4
slope is 2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
I REALLY HOPE THIS HELPS PLS CONSIDER GIVING BRAINLIEST I REALLY NEED IT AND WOULD APPRECIATE IT!
I need help with the range
Answer:
[-9, 0]
Step-by-step explanation:
The range is the y values that the equation/line covers.
The line's lowest point is -9 and the line's highest point is 0. The values are defined (no open circle at the highest point) so we use brackets.
help i need it badly
Suppose you loan $320 to a friend and charge them 11% annual interest. If they don't pay any back, how many years will it take for them to owe you $2,000? Round your answer to the nearest hundredth (2 places after the decimal).
Step-by-step explanation:
For them to owe you a total of$2000 then an interest of $2000-320=$1680 must have accrued over the time T
T=$1680×100/320×11
T=47.7272...≈47.73 to the nearest hundredth
Proof,
Interest after 47.7262...years which is converted to 525/11 years
=($320×11×525/11)/100
=$1680
therefore total amount which will be owed at that time =principal+interest accrued
=$320+1680=$2000
A pickup truck carrying 10 to the power of 3 identical brick weighs 6770 pounds. If the empty truck weighs 6133 pounds, what is the weight of each brick?
Answer:
0.637 pounds per brick
Step-by-step explanation:
Given that:
A pickup truck carrying:
10³ identical brick weighs 6770 pounds
If the empty truck weighs 6133 pounds
The weight of each brick can be calculated as follows:
The weight of each brick = The weight of the full pick up truck - the weight of the empty truck
The weight of each brick = 6770 - 6133
The weight of each brick = 637
The pickup truck carrying 10³ identical brick = 1000 identical brick
Thus, the weight of each brick = 637/10³
Thus, the weight of each brick = 0.637 pounds per brick
What is the answer for this math question?
Answer:
Gn=A1 r(n/3)
Step-by-step explanation:
well since u just divide by three I think the answer is divide by 3.
Hope this helps Happy Thanksgiving :D
A spider ate 25\%25%25, percent more bugs this month than last month. The spider ate 888 bugs last month.
Answer:
1110
Step-by-step explanation:
888*(1+25%)
=1110
PLS GIVE BRAINLEST
Answer:10
Step-by-step explanation:
Let a = ⟨5, –9⟩ and b = ⟨–3, 1⟩, and c = b – a. What is the magnitude and direction angle of c?
|c| = 12.8; θ = 128.7°
|c| = 18.0; θ = 128.7°
|c| = 12.8; θ = 308.7°
|c| = 18.0; θ = 308.7°
Answer:
A
Step-by-step explanation:
The magnitude and direction angle of c is 12.8 and 128.7° respectively.
What is the magnitude and direction of a point vector?"A vector contains two types of information: a magnitude and a direction. The magnitude is the length of the vector while the direction tells us which way the vector points.
Vector direction can be given in various forms, but is most commonly denoted in degrees. Acceleration and velocity are examples of vectors."
Given: a = (5, –9) and b = (–3, 1) and c = b – a.
Therefore, c = (5+3, -9-1) = (8, -10)
Now, magnitude of c is [tex]\sqrt{8^{2}+(-10)^{2}}[/tex] = 12.8
The direction of c is Ф = tan⁻¹(-10/8) = -51.3°
Therefore, the direction of c is 180° - 51.3° = 128.7° (tanФ = tan(π+Ф))
Learn more about magnitude and direction of a point here: https://brainly.com/question/11864438
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Do I add all the cost up then divide by four?
Answer:
Yeh that's what you have to do.....
Divide the total amount by four
Answer:
yes
Step-by-step explanation:
How many solutions exist for the given equation?
3(x + 10) + 6 = 3x + 12)
zero
one
two
infinitely many
Answer:
theres no solution
Step-by-step explanation:
3x+36=3x+12 is not mathmatically correct no matter what x is
You're given three angle measurements of 30°, 70°, and 80°. How many triangles can you construct using these measurements?
А О
B. 1
с 2 .
D. infinitely many
Answer:
I think b
bye have a great day
Given the points (4,3) and (2,6) what is the slope?
someone help simplify it
Answer:
a+11b/3
Step-by-step explanation:
Answer:
3 and 2/3b + 1a
Step-by-step explanation:
Simplifying b:
4b - 1/3b = 11/3b = 3 and 2/3b
Simplifying a:
-5a + 6a = 1a