Answer:
t = 15 s
Step-by-step explanation:
A projectile is thrown upward so that it's distance above the ground after t seconds is as follows :
[tex]h=-16t^2+480t[/tex] ...(1)
We need to find after how many seconds does it reach its maximum height. For maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d(-16t^2+480t)}{dt}=0\\\\-32t+480=0\\\\t=\dfrac{480}{32}\\\\t=15\ s[/tex]
So, it will reach its maximum height in 15 seconds.
If there are 20 values in a data set in order from smallest to largest, what is
the median of the data set?
A. The 10th value
B. The 9th value
C. The mean of the 10th and 11th values
D. The mean of the 9th and 10th values
Answer:
C The mean of the 10th and 11th values
Step-by-step explanation:
Strike the lowest and largest number until you get 1 or 2:
1, 2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19, 20
2, 3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18, 19
3,4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17, 18
4 5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16, 17
5,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15, 16,
,6 ,7 8, 9, 10, 11, 12, 13 ,14, 15
,7 8, 9, 10, 11, 12, 13 ,14,
8, 9, 10, 11, 12, 13
9, 10, 11, 12
10, 11,
Finding the Mean:
10+11
21
21/2
Mean:
10.5
In a final year examination, 33 students pass in Chinese, 29 students pass in English, 20 students pass in both subjects and 8 students fail in both subjects. How many students are in the class?
Answer:
50
Step-by-step explanation:
33+29= 62
62-20= 42
42+8= 50 students
what is 1.54x10^21 in scientific notation
Answer:
Scientific notation: 1.54 x 10^21
Scientific e notation: 1.54e21
Real number: 1540000000000000000000
Q4. Find the range, standard deviation, and variance for the following sample data:
33, 55, 29, 40, 8, 90, 61, 41, 17, 80, 56, 17, 59, 21,78
plz answer this!
Answer:
40 I think but no I think
Sammy has an annuity that pays him $9600 at the beginning of each year. Assume the economy will grow at a rate of 3.1% annually. What is
the value of the annuity if he received it now instead of over a period of 10 years? (2 points)
a $78,044.65
ь $80,651.16
c $81,075.98
d $83,999.29
Answer:
C
Step-by-step explanation:
Suppose there are 28,200,000 small businesses in the economy today. Twenty-five percent of those businesses have no employees. What is the number of businesses in the economy with no employees?
Answer:
the number of businesses with no employees is 7,050,000
Step-by-step explanation:
The computation of the number of businesses in the economy have no employees is shown below:
Given that
There are a total of 28,200,000
Out of which 25% of those businesses have no employees
So, the number of businesses in the economy is
= 28,200,000 × 25%
= 7,050,000
Hence, the number of businesses with no employees is 7,050,000
Solve.
25 ‒ (‒ 42) =
A.
67
B.
17
C.
‒17
D.
‒67
Answer:
You are Correct!!!
Step-by-step explanation:
Kenji is decorating papers with a total of 15 heart stickers and 12 star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Kenji can decorate?
Answer: The greatest number of pages Kenji can decorate = 3
Step-by-step explanation:
Given: Total heart stickers = 15
Total star stickers =12
If all the papers identical, with the same combination of heart and star stickers and no stickers left over.
Then the greatest number of pages Kenji can decorate = GCD(15,12) [GCD=greatest common divisor]
Since 15 = 3 x 5
12=2 x 2 x 3
GCD(15,12) =3
Hence, the greatest number of pages Kenji can decorate = 3
The set of ordered pairs represents a function. Write a rule that represents the function.
1/2 (X+6)= 18 what is the value of x
Answer:
The absolute value for x would be 30
X=30
Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
What is the solution to 34x+85=3(13x+7)
Answer:
x=12.8
Step-by-step explanation:
34x+85=39x+21
34x-39x=21-85
-5x = -64
x = -64/-5
x = 12.8
Answer:
x = 34/5
Step-by-step explanation:
Just solve the equation
[tex]34x + 85 = 3(13x + 17)\\34x + 85 = 39x + 51\\85 - 51 = 39x - 34x\\34 = 5x\\x = 34/5[/tex]
Does anyone know what the answer is ?
Answer:
x intercept : -3,0 y intercept : 0,6
The manager of a summer camp has 14 baseballs and 23 tennis balls. The manager buys some boxes of baseballs with 12 baseballs to a box and an equal number of boxes of tennis balls with 16 tennis balls to a box. Write an expression to represent the total number of balls. PLEASE PLEASE HELP I NEED IT DONE TONIGHTTT
Answer:
u want full equation?
Step-by-step explanation:
Answer
baseballs:14+12n
tennies balls: 23+16n
14+12n+23+16n
14+23+12n+16n
(14+23)+(12n+16n)=37+28n
(n= the number of boxes of each type)
Step 1: We write expressions for the total number of baseballs and tennis balls
Step 2: We find an expression fr the total number of balls:
We combine the above expressions:
We use the Commutative Property:
We combine like terms:
( the answer is 37+28n)
ive done one but i cant seem to get the rest right please help
Answer and Step-by-step explanation:
All you have to do is plug 6 in for x.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
A) 6 + 4 = 10 The 6 and 4 add together to make 10.
B) 3(6) = 18 The 3 and 6 multiply together to make 18.
C) [tex]\frac{6}{2}[/tex] = 3 The 6 is divided by the 2 to make 3.
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
Rewrite the product as a power: a^7 *y^7
Answer:
ay^7
Step-by-step explanation:
just give me the points.
please help me in this question
Answer:
30
Step-by-step explanation:
use Pythagoras theorem at first to find the third side of the triangle it will come 5
then use the formula to find the area of triangle
A=(5x12)/2=30cm2
At a birthday party pizzas and sodas were purchased for the kids. The number of sodas bought was two more than three times the number of pizzas. Pizzas cost $9.50 each and sodas cost $1.25 each. (c) A total of $68.75 was spent on pizza and sodas at the party. Let n be the number of pizzas purchased. Set up an equation involving n that models the scenario. Solve it and state both the number of pizzas and the number of sodas that were bought.
Answer:
5 pizzas and 17 sodas were bought
Step-by-step explanation:
Here, we want to get the number of pizza and sodas bought
Let n be the number of pizzas bought
we are told that the number of sodas bought was 2 more than 3 times the number of pizzas
So the number of sodas will be;
3n + 2
So let’s have the equations based on the prices;
pizzas cost $9.50, soda cost $1.25
Thus;
9.5n + 1.25(3n + 2) = 68.75
9.5n + 3.75n + 2.5 = 68.75
13.25n = 68.75 - 2.5
13.25n = 66.25
n = 66.25/13.25
n = 5
Number of pizzas bought is 5
number of soda is 3n + 2 = 3(5) + 2 = 15 + 2 = 17
Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15. What is the projected cost of a gallon of oil next May? Round your answer to the nearest hundredth.
Answer:
Future cost per gallon= $15.05
Step-by-step explanation:
Giving the following information:
Oil prices are projected to increase by 75% by next May. A quart of oil currently costs $2.15.
We know that 1 quart equals 0.25 gallons.
First, we will determine the actual cost per gallon.
Actual cost per gallon= 2.15*4= $8.6
Now, the cost for May:
Future cost per gallon= 8.6*1.75
Future cost per gallon= $15.05
Answer:
15.05
Step-by-step explanation:
what are the domain and the range
Answer:
Domain 1,3,5,7,9,11
Range 5,6,7,8,9,10
A plumbing company charges $35 per hour plus a $25 travel charge for a service call. Another plumbing company charges $40 per hour for a service call with no travel charge. Solve the equation 35h+25=40h to find how many hours h a service call must be for the two companies to charge the same amount.
__ hour(s)
Answer:
5 hours
Step-by-step explanation:
35h + 25=40h
implies 25=40h-35h
25=5h
dividing both sides by 5,
h=5
tony is making gift bags for his friends. he has 6 bags and places 9 gifts into each bag .how many gifts did he place in the bags
Answer:
6 x 9 is 54
Step-by-step explanation:
54 bags because, it says each so your multiplying.
What would be the height of 1000 Canadian Dimes?
The height of 100 Canadian dimes is 1220 millimeter.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have 1000 Canadian dimes.
Assume that the height of 100 Canadian dimes is [x] mm. Then, we can write -
[x] = 1000 x 1.22
[x] = 1220 mm
Therefore, the height of 100 Canadian dimes is 1220 millimeter.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Please help!! I’ve been stuck on 3 & 4!
What is x and y ?
I’ll give brainliest!
The options are on the side of the screen/triangle..
Answer:
I'm pretty sure x is 3
Step-by-step explanation:
PLEASEEE HELPPPP ASAPPPPP
Answer:
70
Step-by-step explanation:
For f(-4)=5(2-3(-4))=5(2+12) because - times - makes +
Therefore 5x2=10 + 5x12=60
10+60=70
have fun with the points just spam bruh tho
Answer:
thanks have a great day
Step-by-step explanation:
What is being done to the variable in the equation 3 + g = -9? The number 3 is being subtracted from it. The number 3 is being added to it. The number -9 is being subtracted from it. The number -9 is being added to it.
Answer:
the number 3 is being subtracted from it because you want to get by itself
42 pushups in 3 minutes in a unit rate
Answer:
14 per minute
Step-by-step explanation:
42 / 3
can you guys help me with this?? 11 points and brainly. pleaseee and thank uuu!!
Answer:
Graph A fails the vertical line test
Step-by-step explanation:
The vertical line test will fail when a vertical line touches two or more points on the graph
Graph A will fail the vertical line test. The y axis touches two points on the graph.