Answer:
Step-by-step explanation:
If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]
Then in that case V(t) = S'(t) = 31 - 32t
V(t)=0 gives the time when the stone hits the ground.
31 - 32t = 0
32t = 31
t = 31/32 = 0.96875s
Please help me solve this problem, thank you.
Step-by-step explanation:
first you need to find the 17 and 8 triangles missing sides length so we do a squared plus b squared equals c square and since we have c which is 17 we subtract 8 squared or 64 from 17 square and we get 225. next the missing line from the next one is done the same way 225 minus 9 squared or 81 and we get 144 and the square root of that is 12 we do 12 squared 144 minus 6 squared because we already know that the side is six because it gives it to us and we get 10.392
A shuffled deck of cards is placed facedown on the table. It contains 7
hearts, 8 diamonds, 6 clubs and 3 spades. What is the probability that the top two cards are one of the clubs followed by one of the heartS?
Answer:
3/23 x 5/23 = 15/529 = 2.84%
Answer:
First find the total of 7 hearts, 8 diamonds, 6 clubs and 6 spades which is 24 altogether. Therefore we are talking about 4 types of cards. I therefore think the probability will be 2/24
help!!?1!1!1!1!1!1!1?1?1!?1?1!1?1!1?1?1?1?1??1?1!1
Joshua: 143.826 grams
Phoebe: 144 grams
Oliver: Unsure, but for sure what shouldn't happen
Joshua (advantage): It is actually good to include decimals into your information because more information helps assist in experiments with proper results but you must also not include unnessessary information
Phoebe (disadvantage): You should include decimals in information, especially relating to scale weighing and her method lacks decimals
Oliver (disadvantage): This experiment already involves grams and therefore you shouldn't change the form of measurement unless it requests for it to happen
Joshua: 143.826 grams (advantageous)
Phoebe: 144 grams (Disadvantage)
Oliver: Disadvantage
What is Rounding off?Changing a number's digits so that it approximates a value is known as rounding a number. The provided number is more simply represented by this value. For instance, 700,000 rather than 698,869 could be used to express a town's population.
Joshua:
Although it is beneficial to add decimals in your data since more information aids in experiments producing accurate results, you should avoid including unnecessary information.
Phoebe's method lacks decimals, which is a drawback because it pertains to scale weighing and you should include them in information.
Oliver : As this experiment already uses grammes, you shouldn't modify the units of measurement until specifically instructed to do so.
Learn more about Rounding off here:
https://brainly.com/question/13391706
#SPJ5
Find the perimeter and area of this polygon.
Answer:
perimeter=114
AREA= 308
Step-by-step explanation:
A^2 + B^2=C^2
then A+B=+C= P for triangle
52= triangle perimeter
rectangle:
(l+w)*2=p for rectangle=62
then add 52+62= 114
AREA- Triangle
b*h/2
22*10=220
220/2
= 110
AREA- Rectangle
l*w=A
22*9=198
ADD BOTH AREAS
198+110=308
HOPE IT HELPS
I need help on this question
Answer:
Go download CameraMath on playstore
Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]
Immediately, by definition of cotangent, we find
tan(α) = 1/cot(α) = 1/(-√3)
⇒ tan(α) = -√3
Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.
Recall the Pythagorean identity,
cos²(α) + sin²(α) = 1
Multiplying both sides by 1/sin²(α) recovers another form of the identity,
cot²(α) + 1 = csc²(α)
Solving for csc(α) above yields
csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4
⇒ csc(α) = 2
⇒ sin(α) = 1/2
Solve for cos(α) using the first form of the Pythagorean identity:
cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)
⇒ cos(α) = -√3/2
⇒ sec(α) = -2/√3
Helppppppppppppppppppp
Answer:
<6
<4
Step-by-step explanation:
Remote interior angle is an interior angle that is not adjacent to the exterior angle of interest.
<6
<4
b. What is the area of the surface of Crater Lake?
Give a step by step explanation
Answer: 23.76 miles
Step-by-step explanation:
You are basically finding the perimeter for question a
given that perimeter is [tex]\pi[/tex]d
Subsitute the values
So perimeter = [tex]\pi[/tex] x 5.5 = 5.5 [tex]\pi[/tex] miles = 17.28 miles (2.d.p)
For question b, the area of the surface of Crater lake is finding its area
Given that area of a circle is [tex]\pi r^{2}[/tex]
Substitute the values
Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75
Area = 2.75^2 x [tex]\pi[/tex] = 7.5625[tex]\pi[/tex] = 23.76 miles^2 (2.d.p)
PLEASE HURRY! WILL MARK BRAINLIEST IF CORRECT (Screenshot)
Answer:
The length of XY is 22.5
Step-by-step explanation:
Since you need to hurry I will not write an explanation
Hope this helps! :)
૮ ・ﻌ・ა
6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store.
Answer:
14.5 ≥ g(1.5)
g = The number of trips to the grocery store.
You will have 11.5 gallons left.
Hogie lizards have tail lengths that are normally distributed with a mean of 22.5 cm and a standard deviation of 3.6 cm. What tail length is at the 40th percentile for these lizards?
A tail length of 23.94 cm is at the 40th percentile for these lizards.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x\ is\ raw\ score, \mu\ is\ mean,\sigma\ is\ standard\ deviation\\\\\\Given\ that:\\\mu=22.5\ cm,\sigma = 3.6\ cm[/tex]
For the 40th percentile, that is z = 40% = 0.4:
[tex]0.4=\frac{x-22.5}{3.6} \\\\x=23.94\ cm[/tex]
A tail length of 23.94 cm is at the 40th percentile for these lizards.
Find out more at: https://brainly.com/question/15016913
I need help please I don’t know what to it is due today
Answer:
12 blue necklaces + 12 red necklaces = 24 necklaces. He will have 1 blue bead left over and 1 red bead left over.
Step-by-step explanation:
37/3 = 12.333 or 12 r1
25/2= 12.5 or 12 r1
1+1=2
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are 9 rolls, hence [tex]n = 9[/tex].Of the six sides, 2 are 3 or 4, hence [tex]p = \frac{2}{6} = 0.3333[/tex]The desired probability is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026[/tex]
[tex]P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117[/tex]
Then:
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857[/tex]
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For more on the binomial distribution, you can check https://brainly.com/question/24863377
12 tenths+ 9 tenths = tenths = ones = tenths
Bruce walks 3/4 mile in 1/5 what is his spewd miles per hour
Answer: Bruce's speed is 3.75 mph(miles per hour).
Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks
Answer:
$1690
Step-by-step explanation:
equation: 60w+550=s
work: 60(19)+550=s
1140+550=s
1690=s
Which of the following points lies on the line 2x+3y=5?
A. (2,3)
B. (2,1)
C. (-2,3)
D. (-2,0)
Answer:
B(2,1). And C(-2,3)
Step-by-step explanation:
Tbh, you can just plug the numbers into the original equation :2x+3y=5
A.2x2+3x3=13 ≠5
B.2x2+3x1=5=5
C.-2x2+3x3=5=5
D.-2x2+3x0=-4≠5
So the answer is B and C lies on the line
Find the common factors of the algebraic expression:- 7a²b, 14abc
please help me please it's important
factor of 7a²b, 14abc
7a²b, 14abc= 7ab
(1-w-w²)⁶=64 prove thta
1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
6. Expand the brackets: a) 3(x - y) )
Answer:
3x-3y
Step-by-step explanation:
3(x-y)
open the brackets:
(3×x)-(3×y)
= 3x-3y
i need help with this question
Answer:
so its 4 just bc
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
5x + 40 + 2(2x + 20) + x = 360
10x + 80 = 360
10x = 280
x = 28
5x + 40 =? 180
140 + 40 =? 180
180 = 180
√((2+√3)÷(2-√3))
what is the answer?
1+ root2x + 1 = root2x + 8
Answer:
14x 2 +9
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!! ASAPPP
Answer:
JO !
Step-by-step explanation:
get he exponet out the way
\
that leaves you with 3+4x1
do 4x 1 that equals 4
3+ 4 = 7
Hey there!
3 + 4 × 1^2
= 3 + 4 × 1
= 3 + 4
= 7
[Jo is correct] whereas Mia is incorrect because she misunderstood the question.
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Question : Explore criteria of congruency of triangles using a set of triangle cut outs
Answer:
Explore Various Criteria for Congruence TrianglesSASASAAASSSSRHSwhen rolling a die what is the probability of getting a number greater than 0
Answer:
100%
Step-by-step explanation:
Numbers on a die are 1,2,3,4,5,6 which are all greater than zero, so the probability is 6/6 or 100%.
Write 23/18 as a decimal.
Answer:
hi
Step-by-step explanation:
the answer would be 1.2778
put the following unit fractions in order from smallest to largest. 1/16 1/24 1/8 1/10 1/4 1/12 1/3 1/6 1/2
Answer:
1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2
Step-by-step explanation:
If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.
So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.
A positive integer squared plus 3 times it’s consecutive integer is equal to 43
Answer:
the integer is 5
Step-by-step explanation:
x^2+3(x+1)=43
x^2+3x+3=43
x^2+3x+(9/4)=43-3+(9/4)
(x+(3/2))^2=42 1/4
x+(3/2)=sqrt(42 1/4)
x+(3/2)=6 1/2
x=(6 1/2)-(3/2)
x=5
check:
5^2+3(6)=43
25+18=43
43=43
Answer:
5
Step-by-step explanation:
let positive integer be x
x² + 3(x+1)=43
x²+3x+3-43=0
x² + 3x - 40 = 0
x² + 8x - 5x - 40 = 0
x(x+8) - 5(x+8)=0
(x-5)(x+8)=0
x-5=0 or x+8=0
x=5. or x=-8
but the question says positive integer,
therefore, x=5
In developing an interval estimate of the population mean, if the population standard deviation is unknown _____.
Answer:
the sample standard deviation and t distribution can be used
Step-by-step explanation: