Answer:
30
Step-by-step explanation:
(86-32)/1.8 =30
Solve for l P = 2 ( l + b )
A. l = P - 2b/2
B. l = P - b/2
C. l = 4 ( P + b )
D. l = P - b/4
The Height H(t) (in feet) of a projectile fired vertically into the air from the ground is given by the equation H(T) = -16t^2 + 96t, where t is time (in sec) after the launch.
A) How long will it take the projectile to reach its maximum height?
B) What is the maximum height?
C) How long does it take the projectile to reach the ground again.
Answer:
a) 3s
B) 144m
C) 6s
Step-by-step explanation:
Given the height modeled by the function;
H(T) = -16t^2 + 96t,
The body will reach its maximum height when dh/dt = 0 (when velocity is zero)
dh/dt = -32t + 96
0 = -32t + 96
32t = 96
t = 96/32
t = 3s
Hence it will take the projectile 3s to reach its maximum height'
B) To get the maximum height we will substitute t = 3 into the equation
H(T) = -16t^2 + 96t,
H(3) = -16(3)^2 + 96(3)
H(3) = -144+ 288
H(3) = 144m]
Hence the maximum height is 144m
C) The projectile reaches the ground at h = 0
H(T) = -16t^2 + 96t,
0= -16t^2 + 96t,
16t² = 96t
16t = 96
t = 96/16
t = 6
Hence it will take the projectile 6s to reach the ground again
Find the midpoint of (6, 1) and (2, 3).
Answer:
(4,2)
Step-by-step explanation:
4 × 22 + 16 ÷ 4 - (4.9 + 5.5)
Answer:
81.6
Step-by-step explanation:
4 × 22 + 16 ÷ 4 - (4.9 + 5.5)
88 + 4 - (10.4)
81.6
what is the length of rs?
Answer:
SR=15units
‹RTQ=90° since ‹RTQ and ‹RTS are supplementary
Given that ‹RTQ is a right angle then RTQ is a right-angled triangle making RQ the hypotenuse
With that knowledge we calculate RT using Pythagorean theorem
RT=√(20)²-(16)²
RT=√400-256
RT=√144=12units
Now for triangle RST, SR is the hypotenuse and should have the longest length whose adjacent,ST should also sum up with 16 to give a number which when combined will give the square root of the sum of the squares of RQ and SR
Plug in 9 for ST and SR becomes
√(12)²+(9)²=√144+81=√225=15 units
This is true because SQ=16+9=25 units
and using Triangle RSQ,
SQ=√(20)²+(15)²=√400+225=√625=25 units
help plz need it so so much
Answer:
C
Step-by-step explanation:
The number line does not end at -2 and the solution should exclude 3 as it is a hollow circle instead of a filled one.
Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?
==========================================================
Explanation:
There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.
There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.
Overall, we have 30*720 = 21600 different serial numbers possible.
6.203x4.5
Help pls asap
Answer:
27.9135
Step-by-step explanation:
The difference of the product of 3 and a number -1/2
Answer:
(3 ⋅ x) - (-1/2)
Step-by-step explanation:
Since it says the product of 3 and a number, it can be written as 3 ⋅ x, where you need to multiply 3 by x, and it only says “a number” so you can just put x. Then, it says the difference of that product and -1/2. Now, you can put the product part in, which is 3 ⋅ x, and subtract that with -1/2 to get (3 ⋅ x) - (-1/2)
Hope this helps! :)
What is the equation of the line shown below? Give your answer in slope-
intercept form.
What is the ratio for 321 to 56
Answer:
Rounded to 12 decimals:
56/321 ≈ 17.445482866044%
Rounded to maximum 2 decimals:
56/321 ≈ 17.45%
need help with this problem it’s math so if you know math come on in
Answer:
The line is super close to 15 or 20. So one of those for sure
Step-by-step explanation:
Answer: its got to be 15 because the line isn't on 20
Step-by-step explanation:
A student decided to make random guesses for all the above 5 true/false questions. What is the probability of this student getting one or more correct answer
Answer: 25%
Step-by-step explanation:
The probability of getting at least one correct answer is 255/256 ≈ 0.996
The probability of getting exactly one correct answer is 5/256 ≈ 0.0195
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
As there are two possible results for each of the 5 questions, there are
2⁵ = 256 possibilities total.
To calculate the probability, then, we only need to know how many ways the student can get one correct answer.
The question's wording contains a small amount of uncertainty, therefore we will discuss both possibilities.
Probability of at least one correct answer:
There is only one way the student can have no correct answers, meaning there are 256 -1 = 255 ways the student can have at least one correct answer.
Thus, the probability of getting at least one correct answer is
255/256 ≈ 0.996
Probability of exactly one correct answer:
There are 5 ways the student can get exactly one correct answer
Thus, the probability of getting exactly one correct answer is 5/256 ≈ 0.0195
Learn more about probability here:
brainly.com/question/11234923
#SPJ2
the circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
sorry I hope I could help u :(
A circular pool is 3.5 meters deep and has a radius of 9 meters. What is the volume
Answer:
[tex]890.75m^3[/tex]
Step-by-step explanation:
Step one:
given data
heigth/depth = 3.5m
radius= 9m
Step two:
The shape is that of a cylinder
Hence the volume of the pool is
[tex]V= \pi r^2h[/tex]
substitute
[tex]V= 3.142*9^2*3.5\\\\V=890.75 m^3[/tex]
Please help geometry
Answer:
Step-by-step explanation:
if the triangles are similar their sides should be in proportion so
(56/70)=(48/60) and they are in proportion because .8 = .8
ΔNQR ~ ΔNLM
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find how much more he needs to save to buy the bicycle
Which equation when solved would show Ethan the amount of money he needs to save?
Answer:
X = 360
Step-by-step explanation:
180 + x = 540
-180 = -180
Answer:
540-180=360
Step-by-step explanation:
Why? Because he has 180, he need 540. There is 360 in between, which is the money he needs.
Hope this is the right equation.
expand the number 0.398
Answer:
00.398
Step-by-step explanation:
Answer:
Do you mean in expanded form? If so it's 0.3+0.09+0.008 I believe.
The circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
Step-by-step explanation:
Circumference = 2pi r
440 = 2 *22\7 *r
70 = r
Area= pi r^2
Area= 22\7 *70*70
Area =15400
List the following in order from least (top) to greatest (bottom).
6, 25, 27, V64, 764
Answer:
6
25
27
64
764
It's just ascending order, easy.
for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?
Answer:
a = -2 or a = -5
Step-by-step explanation:
We want [tex]f(a) = a^2 + 7a + 12 = 2[/tex]. We can subtract 2 from both sides of this equation to get [tex]a^2+7a+10=0[/tex]. We can factor this to get that [tex](a+2)(a+5)=0[/tex]. When the product of two numbers is equal to zero, one of the numbers must be equal to zero. This means that either a + 2 = 0, in which case a = -2, or a + 5 = 0, in which case a = -5.
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
3%
?
The sales tax is $.
Answer:
57.00
Step-by-step explanation:
welcome
Answer:
1.80
Step-by-step explanation:
60 x .03=1.80
Which expression is equivalent to 2x^2-
2x + 72
Answer:
36
Step-by-step explanation:
2x•2x=4x
4x-2x=2x
72÷2=36
what is 494 divided by 6.5
Answer:
76
Step-by-step explanation:
Answer:
494 divided by 6.5 =76
Step-by-step explanation:
A major-league baseball diamond is shaped like a square with side lengths of 30 yards, as shown in the diagram.
Answer:
42
Step-by-step explanation:
Evaluate the given expression for x=-14. -3x-5
Answer:
The answer is: 37
Step-by-step explanation:
The reason its this answer because first thing you have to do is the order operations Please Excuse My Dear Aunt Sally, since there is no parenthesis, or exponents we cross those out. Since, there is multiply we put in -14 where is x.
-3x-5=-3(-14)=5
Next, we multiply -3 and -14 and we get:
42, there reason its not a negative because two negatives equal to a positive.
There is Division or Addition, those are out. The only thing that is left Subtraction... So we are going to subtract 42-5 which equals;
37
I hope my answer helps!!
The Department of Commerce in a state has determined that the number of small businesses that declare bankruptcy per month is approximately a Poisson distribution with a mean of 3.4. Find the probability that more than 3 bankruptcies occur next month.
Answer:
0.44164
Step-by-step explanation:
Given that :
Mean (λ) = 3.4
probability that more than 3 bankruptcies occur next month
Using the poisson distribution formula :
P(x ; λ) = P[(e^-λ) * (λ^x)] ÷ x!
Probability of obtaining more than 3 bankruptcies :
To save computation time, we can use the poisson distribution calculator :
P(x >3 ; λ = 3.4)
P(x > 3) = 0.44164
P(x > 3) = 0.44164
Which ordered pair could be removed to
make the set a function?
{(1,3), (2,4), (3,4), (3,6), (5, 10), (6,3)}
A. (1,3)
B. (6,3)
C. (5, 10)
D. (3,4)
Answer:
The answer is choices D.
Step-by-step explanation:
hope this helps
QUADRATIC FORMULA SIMPLIFIED PLZ HELP
Answer:
3x² + 5x + 1 = 0 simplifiedx = (-5 ± [tex]\sqrt{13}[/tex])/6 rootsStep-by-step explanation:
Given quadratic formula
3x² + 5x - 5 = - 6Standard form
ax² + bx + c = 0Simplifying
3x² + 5x - 5 + 6 = 03x² + 5x + 1 = 0Solving
x = (-5 ± [tex]\sqrt{5^2 -4*3*1}[/tex])/(2*3)x = (-5 ± [tex]\sqrt{13}[/tex])/6HELP LE WITH THE WORKSHEET ITS FOR 6 TH GRADE YALL GOT THIS CMON PLEAE HELPPP ILL GIVE YOU ALL THE POINTS I CAN PLEASE PLEASE PLEASE I BEG
Answer:
1) 55/100
2) 68/100
3) 24/100
4)95/100
5) 72/100
6)44/100
7) 90%
8) 56%
9)35%
10)76%
11) 10%
12)80%
Step-by-step explanation:
Answer:
N is 11/20, A is 17/25, T is 6/25, E is 19/20, H is 18/25, I is 11/25, M is 90%, A is 56%, C is 35%, L is 76%, T is 10%, U is 80%
Step-by-step explanation: