Answer:
0.72secs
Step-by-step explanation:
Given the height of the ball in air modeled by the equation:
h=−16t²+23t+4
Required
Total time it spent in the air
To get this we need to calculate its time at the maximum height
At the maximum height,
v = dh/dt = 0
-32t + 23 = 0
-32t = -23
t = 23/32
t = 0.72secs
Hence the total time it spend in the air will be 0.72secs
The total time for which the ball is in the air is 0.72 seconds and this can be determined by differentiating the given function.
Given :
A boy throws a ball into the air. The equation [tex]\rm h = -16t^2+23t+4[/tex] models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown.
Differentiate the given function of height with respect to 't' in order to determine the value of 't'.
[tex]\rm h = -16t^2+23t+4[/tex]
[tex]\rm \dfrac{dh}{dt}=-32t+23[/tex]
Now, equate the above differential equation to zero.
-32t + 23 = 0
23 = 32t
t = 0.72 seconds
So, the total time for which the ball is in the air is 0.72 seconds.
For more information, refer to the link given below:
https://brainly.com/question/24062595
Jiyoung spent $82 at Uniqlo on shirts and shorts. She lost the receipt but knows that the shirts are
$11 each, and the shorts were $9 each. If Jiyoung bought 5 shirts, how many shorts did she buy?
its 3 shorts
Step-by-step explanation:
11×5= 55 82-55= 27 27÷9= 3
Answer:
Step-by-step explanation:
Given this information, we can set up an equation
[tex]11x + 9y = 82[/tex], where x is the amount of shirts bought, and y is the amount of shorts bought. Since we know she bough 5 shirts, we can replace x with 5
[tex]11 (5) + 9y = 82[/tex] Now, we have to find for y.
Step 1. Simplify
[tex]55+9y=82[/tex]
Step 2. Subtract 55 from both sides
[tex]55-55+9y=82-55\\9y=27[/tex]
Step 3. Divide both sides by 9
[tex]\frac{9y}{9}=\frac{27}{9}\\y=3[/tex]
If y = 3, this means that Jiyoung bought 3 shorts.
HELLPPP PLEASE WILL GIVE BRAINLIEST
Answer:
25
Step-by-step explanation:
90-65=25
A town has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?
What’s the answer?
Answer:
6.5
Step-by-step explanation:
Answer:
y≈15840
Step-by-step explanation:
Exponential Functions:
a=starting value = 14000
r=rate = 2.5%=0.025
Exponential Growth:
b=1+r=1+0.025=1.025
Write Exponential Function:
put it all together-
y=14000(1.025)^x
Plug in time for x:
y=14000(1.025) ^5
Evaluate-
y=15839.71498
round-
y≈15840
i gicveeeeee brainlilstttt
Answer: (-2,6)
Step-by-step explanation:
Hope this helps ;)
Solve for x
4^x/9^x=½
Answer:
x = 0.85476
Step-by-step explanation:
4ˣ/9ˣ=½
9ˣ / 4ˣ = 2
(9/4)ˣ = 2
2.25ˣ = 2 .... aⁿ = x logₐx = n
log₂.₂₅2 = x
x = 0.85476
Lots of points please help
Answer:
hi
Step-by-step explanation:
I need help on this too
Answer:
first one
Step-by-step explanation:
do i really need an explanation like come on
You need to lower your debt to credit limit ratio by $1,000. Your current limit is $1,400. $1,000 is what percent of your credit limit?
Answer:
1,000 of 1,400 is 71.43%
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Which sign makes the statement true?
3
65.7%
4.
<
=
Answer:
The middle one
Step-by-step explanation:
3/4=75%
please give correct answer <3 :(
Answer:
216g^3
Step-by-step explanation:
6g^3 g^3
6g^3 = 6g * 6g * 6g = 216g^3
Answer:
[tex]216g^{3}[/tex]
Step-by-step explanation:
6^3 x g^3=
6^3=216
216g^3
What is the quotient of 2/3 divided by 4
Answer:
Step-by-step explanation:
(2/3)/4=(2/3)*(4/1)=8/3=2 2/3
1.4(X + 3) *
[
4x + 3
X + 12
4x + 12
Answer:
4x + 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Step-by-step explanation:
Step 1: Define
4(x + 3)
Step 2: Expand
Distribute 4: 4(x) + 4(3)Multiply: 4x + 12Answer:
[tex] \huge4(x + 3) = 4x + 12[/tex]
4x+12 is the right answer.plz help me i really beg of you!
Answer:
v = -122.5
Step-by-step explanation:
1: 2.3 + v/7 = -15.2
2: v/7 = -17.5
3: v = -122.5
Step 1: This is the given equation
Step 2: Here, 2.3 was subtracted from both sides of the equation to isolate v
Step 3: both sides of the equation were multiplied by 7 to get v = -122.5
Answer:
245 over 2
Step-by-step explanation:
just use a calculator and you should be able to get the question right
PLEASE HELP!!!! ❗❗❗❗❗❗❗
I NEED THE ANSWER TO THIS ASAP!!! PLS HELP!!! question below ;-;
the track team is trying to reduce their time for a relay race. First they reduced their time by 2.1 minutes. Then they are able to reduce that time by 1/10. If their final time is 3.96 minutes, what was their beginning time? Show or explain your reasoning.
Answer:
6.27 minutes
Step-by-step explanation:
3.96+2.1=6.06
1/10=0.1x2.1=0.21+6.06=6.27
math The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing. If there are 15 eligible candidates for these positions (where rank matters), how many different ways can the members of the cabinet be appointed
Answer:
2730 ways
Step-by-step explanation:
Given that,
There are 15 eligible candidates for these positions.
The newly elected president needs to decide the remaining 3 spots available in the cabinet he/she is appointing.
It is a concept based on permutations.
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
Put n = 15 and r = 3
[tex]P(15,3)=\dfrac{15!}{(15-3)!}\\\\=\dfrac{15!}{12!}\\\\=\dfrac{15\times 14\times 13\times 12!}{12!}\\\\=15\times 14\times 13\\\\=2730[/tex]
Hence, 2730 ways can the members of the cabinet be appointed
Helpppppppppppppppppppppp
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Answer:
16
Step-by-step explanation:
y=2x
2*2=4
3*2=6
6*2=12
8*2=16
Hope this helps :)
1. If the original price of an item was 75 cents and the new price is 81 cents, 1 pc
what is the percent change? (MAKE SURE YOU TYPE % AT THE END OF
YOUR ANSWER) *
Your answer
Answer:
8%
Step-by-step explanation:
Original Price = 75 cents New Price = 81 cents, % increase = ?
% increase = 81 - 75/75 × 100%
% increase = 6/75 × 100%
% increase = 8% ( Ans)
i need help asap pls and thnx you
Answer:
[tex]z^{3}[/tex] or C
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
What is the circumference of this circle?
Answer:
37.7
Step-by-step explanation:
C = 2 pi r
C= πd
12× 22/7
= 264/7
= 37.71cm
a card is picked at random
from a pack of 52 playing
cards. what is the probobility
of selecting a spade
Answer:
1/4
Step-by-step explanation:
the probability of selecting a spade: 14/52 = 1/4
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answer:
[tex]\displaystyle x = \frac{216}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 6(2x - 2) = 19(x - 12)[/tex]Distribute: [tex]\displaystyle 12x - 12 = 19x - 228[/tex]Isolate x terms: [tex]\displaystyle -12 = 7x - 228[/tex]Isolate x term: [tex]\displaystyle 216 = 7x[/tex]Isolate x: [tex]\displaystyle \frac{216}{7} = x[/tex]Rewrite: [tex]\displaystyle x = \frac{216}{7}[/tex]Answer:
[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]
30.857 is the right answer.Dave leaves his house and bikes directly east for 3 miles. He then turns and bikes directly
south for 4 miles. How many miles is Dave from his house?
Answer:
12
Step-by-step explanation:
the length of a living room is 12 fert and its width is 10 1/2 feet. the length of the room is being expanded by x feet. select all the expressions that represent the area of the living room in square feet
Answer:
vbhjnkmlnkbjvhcgfdxgcvhbjnncnng
Step-by-step explanation:
cxvcxbvcbcvbvcbcvbvcvbb
Answer:
thanks
Step-by-step explanation:
ILL MARK BRAINLIST pls help
You cut out the question-
5-4x=23
What's the value of x and please show your work.
Answer:
x = 9/2 or 4.5
Step-by-step explanation:
5-4x=23 |-5
5-4x-5=23-5
-4x=18 |*(-1)
4x=18 | /2
2x=9 |/2
x=9/2 or 4.5
Answer:
x = 4.5
Step-by-step explanation:
Subtract 5 from BOTH sides to start with:
5-5 = 0 (5 cancels out on left side) 23-5 = 18
New Equation: -4x = 18
Divide BOTH sides by -4
4 cancels out (x is left) 18/4 = 4.5
New: x = 4.5
The ratio using a colon is
a ratio?
What numbers a provided
The slope of the line below is -1/7. Write a point-slope equation of the line
using the coordinates of the labeled point.
Answer:
D
Step-by-step explanation:
It’s d
pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Answer:
B
Step-by-step explanation: i took the test on docs/forms
Which graph represents y = √ X
Explanation:
[tex]\displaystyle [9, 3] → 3 = \sqrt{9} \\ [4, 2] → 2 = \sqrt{4} \\ [1, 1] → 1 = \sqrt{1} \\ [0, 0] → 0 = \sqrt{0}[/tex]
**In this case, we want NON-NEGATIVE terms.
I am joyous to assist you at any time.
if h(x)=x power of 2 -5x+7 find the value of h(-5)
Answer:
Step-by-step explanation:
wth is college in my recommended anyways here's the answer
your answer is -5