Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
To learn more about the solution of quadratic equation visit:
https://brainly.com/question/18305483.
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Evaluate the following expression if x=3: (1/2)^x
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]
Create a real life example that can be modeled by the expression –2 • 4.
Answer:
Some one buys an apple that costs two dollars out of there pocket fours times.
Step-by-step explanation:
Ms. Peters has 36 red, blue, and green markers. She has an equal number of
each color of marker. She arranges the red markers in 2 equal groups. How
many red markers are in each group?
18
9
6
12
Answer:
6 markers
Step-by-step explanation:
1) Find the number of red markers
Firstly, we know that Ms. Peters has a total of 36 markers. There are 3 colours within these 36 markers. Because she has an equal number of each colour, divide 36 by 3 to find the number of red markers.
36÷3=12
Therefore, Ms. Peters has 12 red markers.
2) Find the number of red markers in each group
Ms. Peters then divides the red markers into 2 equal groups. Because we now know that there are 12 red markers, divide 12 by 2 to find this number.
12÷2=6
Therefore, there are 6 red markers in each group.
I hope this helps!
Research Team A grows bacteria in a Petri dish. There are initially 200 bacteria in the
dish and the number of bacteria increases 4% each hour. The researchers use the
expression 200(r)* to estimate the number of bacteria present after t hours.
What is the value of r in the expression?
A. 0.04
B. 0.96
C 1.04
D. 4.00
A 24 pack box of colored gel markers cost $12.96 what is the cost per marker?
Answer:
approx. $1.85 or $1.86 each marker
Answer:
1.85 for each
Step-by-step explanation:
The community service club is raising money for a children's hospital. Earlier in the year, the club had raised $240 for the charity. The club then held a bake sale and after the sale they were able to donate a total of $750 to the charity. Write an equation and solve for the amount raised at the bake sale.
cramers rule
hurry up plzzz
Answer:
Answers provided below
Step-by-step explanation:
From the simultaneous linear equation, we have the coefficient matrix as;
(3 4 5)
(2 -1 8)
(5 -2 7)
The x-matrix is Dx is given by;
(18 4 5)
(13 -1 8)
(20 -2 7)
Similarly, the y-matrix Dy is given by;
(3 18 5)
(2 13 8)
(5 -20 7)
Also,the z-matrix Dz is given by;
(3 4 18)
(2 -1 13)
(5 -2 -20)
Determinant of the coefficient matrix from online determinant calculator is;
D = 136
Determinant of the x-matrix from online determinant calculator is; Dx = 92
Determinant of the y-matrix from online determinant calculator is; Dy = 696
Determinant of the z-matrix from online determinant calculator is; Dz = 576
From crammers rule;
x = Dx/D = 92/136
y = Dy/D = 696/136
z = Dz/D = 576/136
What is the image point of (-1, 1) after a translation right 2 units and
down 1 unit?
The graph models the amount of radioactive element present over the course of a 10-minute experiment.
What is the average rate of change of the amount of the element over the 10-minute experiment?
A.
-2.0 g/min
B.
-5.0 g/min
C.
-0.2 g/min
D.
-1.8 g/min
Answer:
D is the answer - 1.8 g/min
Step-by-step explanation:
The ratio of the number of boys to the number of girls in choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir A. 75. B. 61. C. 48. D. 80
Answer:
A
Step-by-step explanation:
60÷4 = 15
5×15=75, that's how many boys
Simplify 41/4 to a mixed number
Answer:
10 1/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
41/4 = 10 1/4
SOMEONE HELPPPP IS THIS ONE CORRECT?
Answer:
yea
Step-by-step explanation:
Christian is starting his own business and last week it cost him $10.38 to ship 6 pounds of merchandise to his customers. His business is growing and this week he must ship 20 pounds of merchandise. How much will he pay for shipping this week?
Answer:
34.20
Step-by-step explanation:
Because 10.38/6=1.78 1.78*20=34.20
Please help!
Simplify. Your answer should contain only positive exponents.
Answer:
[tex]\frac{1}{4k^3}[/tex]
Step-by-step explanation:
It's already in a form that only ha positive exponents. Just to state it though you could rewrite it as [tex]k*(4k^{4})^{-1}[/tex] or [tex]k*4^{-1}*k^{-4}[/tex] The question asks for positive exponents though so yu don't need to do that.
You also need to know [tex]\frac{x^a}{x^b}=x^{a-b}[/tex] so in this case [tex]\frac{k}{k^4}=\frac{k^1}{k^4} =k^{1-4}=k^{-3}=\frac{1}{k^3}[/tex]
so [tex]\frac{k}{4k^4}=\frac{1}{4}*\frac{k}{k^4}=\frac{1}{4}*\frac{1}{k^3}=\frac{1}{4k^3}[/tex]
Which of the following relations is NOT a function?
Answer: Option 2 because it's the only one with repeating x coordinates.
hi could you help my sister with function tables shes in elementary school
Answer:
L- 23
P-53
O-28
U-43
H-58
Step-by-step explanation:
For this question you must simply replace N in the equation with the number in every letter for example L is 23 because a = 5 x (4) + 3, thus these are your answers!
Answer:
n=4 a=23
n=10 a=53
n=5 a=28
n=8 a=43
n=11 a=58
I dont know what the letter are for but here ya go.
Hope this Helps your sister! :)
Perry deposits $175 into a simple interest account. The interest rate for the account is 4.25%. What would his final balance be in his account after 3 years?
Answer:
$197.31
Step-by-step explanation:
Given data
Principal= $175
Rate= 4.25%
TIme= 3 years
The expression for the simple interest is given as
A=P(1+rt)
substitute
A= 175(1+0.0425*3)
A= 175(1+0.1275)
A= 175(1.1275)
A= $197.31
Hence the balance will be $197.31
Help!!! I don’t get this
S, sample space :
all the possible outcomes of an experiment
number × sampel space = 8
Answer :
D. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
*answer can get from the list of sample space (in pic)
Answer :
A.
* answer can get from the final of tree diagram (in pic)
45 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!! If △EFG (purple triangle) is the image of △ABC (blue triangle), how could △EFG have been created? Graph A. △ABC was reflected over the x-axis to create △EFG. B. △ABC was reflected over the y-axis to create △EFG. C. △ABC was rotated 360∘ about the origin to create △EFG. D. △ABC was rotated 180∘ about the origin to create △EFG.
help on this pls! thank u!
Answer:
Step-by-step explanation:
Whats the equation to find the total cost ?
Write as a square of a binomial
4.8xy+36y^2+0.16x^2
(15y+x)^2
That’s your answer. I hope i helped!
-2x+4y=12
Can you help me
What is the slope of the line shown on the graph?
Answer:
Step-by-step explanation:
The slope, m, can be determined using any two points, and slope is defined as
m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)
m=(-1-0)/(5-0)
m=-1/5
Use triangles to find the sum of the interior angle measures of the polygon.
Answer:
1440°
Step-by-step explanation:
From the 8 sided diagram, 8 triangles can be obtained. 1 triangle adds up to 180° thus for the diagram ,sum of interior will be 180°×8=1440°
quadrilateral vwxy with vertices v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6): 18o from the origin
Given:
The vertices of a quadrilateral are v(-2,-1) w(-5,-2) x(-8,-7) and y(1,-6).
To find:
The vertices of the image of quadrilateral vwxy after 180° about the origin.
Solution:
If a figure rotated 180° about the origin, then the rule of rotation is
[tex](x,y)\to (-x,-y)[/tex]
Using this rule, we get
[tex]v(-2,-1)\to v'(2,1)[/tex]
[tex]w(-5,-2)\to w'(5,2)[/tex]
[tex]x(-8,-7)\to x'(8,7)[/tex]
[tex]y(1,-6)\to y'(-1,6)[/tex]
Therefore, the vertices of image of quadrilateral vwxy after 180° about the origin are v'(2,1), w'(5,2), x'(8,7), y'(-1,6).
Rebekah traveled 540 miles in 9 hours. How many miles did she average each hour
Answer:
60 mph (miles per hour)
Step-by-step explanation:
540 ÷ 9 = 60
Sorry if this answer is short. I want to get as much answers before Exam Mode starts.
❌❌❌WILL GIVE BRAINLIEST
Use three different values of n to demonstrate that 2n + 3n is equivalent to 5n.
Answer: n=1,2,3
Step-by-step explanation: if we plug in these numbers 2*1+3*1=5*1 this works. If we do this for 2 then we have 2*2+3*2=10 and 5*2= 10 this also works. The same thing with 3. 2*3+3*3=15 5*3=15
Hope this helps!
Help
If 4r = 24, then r=
Answer:
6
Step-by-step explanation:
Given,
4r = 24
[tex] = > r = \frac{24}{4} [/tex]
=> r = 6(Ans)
Answer:
6
Step-by-step explanation:
4r = 24
r = 24/4
r = 6
Which is an equivalent ratio to 6/7?
Answer: 12 : 14 18 : 21 24 : 28 30 : 35
Step-by-step explanation:
hope these is the right answer to your question