Answer:
a) The jumper opens the parachute in 7.5 seconds.
b) The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
Step-by-step explanation:
Note: The equation presented in statement is incorrect. The correct formula for free fall is:
[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)
Where:
[tex]t[/tex] - Time, measured in seconds.
[tex]h[/tex] - Height above the ground, measured in feet.
a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 1000[/tex]
[tex]16\cdot t^{2} = 900[/tex]
[tex]t = 7.5\,s[/tex]
The jumper opens the parachute in 7.5 seconds.
b) How long is the jumper in free fall if the parachute opens at 950 ft?
If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:
[tex]-16\cdot t^{2}+1900 = 950[/tex]
[tex]16\cdot t^{2} = 950[/tex]
[tex]t \approx 7.706\,s[/tex]
The jumper opens the parachute in approximately 7.706 seconds.
c) There are two possible choices for the function:
Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]
Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]
A common tub is 54 inches long. What could be its length in centimeters? (1 inch = 2.54 cm)
Answer:
137.16 cm
Step-by-step explanation:
its jus multiplication so 54in x 2.54cm
A country has an area of approximately 8,400,000,000 square miles and has an approximate population of 210,000 people.
How many times greater is the area than the population?
A. 40 times
B. 400 times
C. 4,000 times
D. 40,000 times
Suppose you know that ∠S and ∠Y are complementary, and that m∠S = 3(m∠Y) − 130°. Find m∠Y.
Evaluate the expression when a= 3 and b = 43.
b-5a
Answer:
28
Step-by-step explanation:
order these numbers from least to greatest : 0, 1 ,1/2,8/9,49/100,11/20,1/13. *please help!*
Answer:
8/9,1/2,49/100,11/20, 1/13
Step-by-step explanation:
Here, we want to list the numbers in ascending order
From the smallest to the highest
So we have;
8/9,1/2,49/100,11/20, 1/13
The key to this can be expressing the numbers in their decimal forms
Please solve this question I'm giving away 25 points hurry
Answer:
5t
Step-by-step explanation:
hey i hope this helps
convert 112 from binary to base 10:
Answer:
The base-10 value of 112*10 is equal to base-2 value of 11100002
I need to know how to solve this problem, you don't necessarily have to answer it, i just don't know the name and the steps to solving it because I missed out on a class that explained it, so I'm in the dark
Answer:
f(-3) = -16
Step-by-step explanation:
Given piecewise function is,
f(x) = 5x - 1 If x < -2
x + 3 If x ≥ -2
We have to find the value of he function when x = -3
Since x = -3 is less than x = -2,
Piece of the function to be considered,
f(x) = 5x - 1
f(-3) = 5(-3) - 1
f(-3) = -16
the denominator of a rational number is greater than the numerator by 6 if the numerator and denominator are both increased by 2 the number becomes 3/5 find the original number
ill mark your question brainliest if u give me corect amswer
Answer:
7/13
Step-by-step explanation:
Let's call x= numerator
We know that :
Denominator= x+6
And
(numerator +2)/(denominator +2) = 3/5
So
(x+2)/(x+6+2)=3/5
(x+2)/(x+8)=3/5
(x+2)*5=(x+8)*3
5x+10=3x+24
2x=14
x=7
In the end
Numerator= x =7
Denominator=x+6 = 13
So the original number is 7/13
I hope this helps, have a beautiful day
What is the circumference?
18 yd
Answer:is 18 yd the radius
Step-by-step explanation:
if so its 113.1
Find the missing length of the triangle.
a=in
Answer:
a=9
Step-by-step explanation:
a^2+b^2=c^2
a^2+5.6^2=10.6^2
a^2+ 31.36=112.36
-31.36 -31.36
a^2=81
a=[tex]\sqrt{81}[/tex]
a=9
Answer:
9in
Step-by-step explanation:
is a right triangle so you can use Pythagorean Th.
(10.6)²= (5.6)² + a², subtract (5.6)² from both sides
(10.6)²- (5.6)² = a²
81 =a², squareroot both sides
√81= √a²
±9 = a we only consider the positive solution because we use it for measurements so a=9
The price of the radio was $14. The sales tax was 3.5%.
What was the total cost of the radio, including the sales
tax?
Answer:
14.49
Step-by-step explanation:
14 * 0.035 = 0.49
14 + 0.49 = 14.49
What is the slope of a line perpendicular to the line whose equation is x+y=2
Answer:
x+y-2=0
Step-by-step explanation:
thats ur anwser you are welcome:)
please help me with this question
Answer:
First question is 109
Second question is 45, but I guess it's a typo with 145.
Please help!! I'll give brainliest!!
What is the process of making a nail magnetic called?
magnetic implication
magnetic induction
reduced magnetism
deduced magnetism
Answer:
Magnetic induction
Step-by-step explanation:
The process of making a nail magnetic called magnetic induction.
When one initiates a process that will make a nail magnetic, this process is known as magnetic induction
Magnetic induction:
Allows for conductors to be made into magnets Allows for magnetic force to be used to induce currents of electricityWhen a nail is made into a magnet, it is usually done with the use of electricity. This process of magnetic induction is very important as it is used in the production of electricity.
In conclusion, this process is known as magnetic induction.
Find out more at https://brainly.com/question/2292919.
I WILL MARK BRAINIEST
PLEASE ANSWER ASAP
Describe the x-values of which (a) f is increasing or decreasing, (b) f(x)>0 and (c) f(x)<0
evaluate each expression if x= 6. 8+x
Answer:
14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
If: x = 6
Expression: 8 + x
8 + x
= 8 + 6
= 14
What is the value of (7 +21)(3 - i)?
Brenda is opening a savings account which compounds interest quarterly. Her banker gave her the following expression to
find the amount that will be in the account, in dollars, after tyears.
4,200(1.05)41
Which statement below best describes the base, 1.05?
OA.
the amount of the initial deposit
OB
the amount of the yearly earnings
OC. the rate at which the account is increasing
OD
the number of times the account has compounded since it was opened
Answer:
The correct option is;
C. The rate at which the account is increasing
Step-by-step explanation:
The given parameters are;
The rate at which the compound interest on the savings account is compounded = quarterly
The expression given by her banker to find the amount in the account after t years = 4,200(1.05)^(4t)
Therefore, the 1.05 = The rate at which the account is increasing
(p-5)/(p+1)=2/3 what does p =
Answer:
17
Step-by-step explanation:
find out distinct 3 letter word that can be formed from using the word singapore
Answer:
Sing
Gap
Nape
There are more than 3 distinct words
PLS HELP THIS IS TIMED!!!!!
which expression is equivalent to 4x^2 sqrt 5x^4 • 3 sqrt 5x^8 if x ≠ 0
Answer:
B
Step-by-step explanation:
The equivalent expression is [tex]16x^{8}[/tex]. So, the correct option is B.
Given:
The given expression is:
[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8},x\neq 0[/tex]
To find:
The equivalent expression.
Explanation:
We have,
[tex]4x^2\sqrt{5x^4}3\sqrt{5x^8}[/tex]
On simplification, we get
[tex]=4x^2(x^2\sqrt{5})3(x^4\sqrt{5})[/tex]
[tex]=(4\times 3)(x^{2+2+4})(\sqrt{5}\times \sqrt{5})[/tex]
[tex]=12(x^{8})(5)[/tex]
[tex]=16x^{8}[/tex]
Therefore, the correct option is B.
Learn more:
https://brainly.com/question/23916512
PLEASE HELP BEING TIMED
The mass of Venus is 4.87 × 1024 kilograms, and the mass of Jupiter is 1,898 × 1024 kilograms.
The mass of Jupiter is about -----times the mass of Venus.
Answer:
The mass of the jupitor is 1444864 times the mass of the venus.
Step-by-step explanation:
-3x + 40 = -23
A) -21
B)5.6
C)21
D)-32.3
Answer:
C) 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-3x + 40 = -23
Step 2: Solve for x
Isolate x term: -3x = -63Isolate x: x = 21Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -3(21) + 40 = -23Multiply: -63 + 40 = -23Add: -23 = -23Here we see that -23 does indeed equal -23.
∴ x = 21 is the solution to the equation.
Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15. (5 points)
Select one:
a. 5
b. 10
c. 20
d. 25
SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).
Answer:
For the first triangle the missing sides are 7 and 7√2 For the second triangle,the missing sides are 13√3 and 13
Step-by-step explanation:
For the first triangle,
cos(45°)=7/hypotenuse
hypotenuse×cos45=7
hypotenuse×√2/2=7
hypotenuse=14/√2=7√2
We can now find the adjacent side using Pythagorean theorem,
√(7√2)²-7²=7
For the second triangle,
cos(30°)=adjacent/hypotenuse
but cos 30=√3/2
√3/2=adjacent/26(cross multiply and simplify)
26√3/2=13√3
To find the opposite length,
√(26)²-(13√3)²=13
anyone got an Amazon gift card code that i could use
Answer:
no
Step-by-step explanation:
Answer:
No, I do not, sorry
Step-by-step explanation:
In order for Josh to graph the solution to the inequality 4x - 2y > 6, which of the following steps does he need to use? Select all that apply.
Shade above the line.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a solid line.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Solve the inequality as y> 2x-3.
Solve the inequality as y < 2x-3.
Draw the line y=2x-3 as a dashed line.
Shade below the line.
Josh needs to follow the steps to draw the required inequality graph.
Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")Inequality expressions are expressions that are not separated by an equal sign.
Given the inequality expression 4x - 2y > 6,
Dividing through by 2 will give:
4x/2 - 2y/2 > 6/2
2x - y > 3
Make y the subject of the formula
-y > -2x + 3
y < 2x -3
For Josh to plot the inequality graph of y < 2x - 3, he needs to follow the process;
Solve the inequality y < 2x - 3 by solving for the x and y-interceptDraw the straight line y < 2x - 3 as a dashed line (since we have less than sign )Shade below the line. (Below the line are shaded for inequality sign that is "less than")Learn more here: https://brainly.com/question/6874464
Graph y=-|x|+10 PLS TELL ME THE CORD NUMBERS I WILL GIVE YOU MORE POINTS PLS AWNSER THIS QUICKLY!
Answer: answer is in the ss i put
Source:trust me bro
What is the value of Arc cosine (sine (StartFraction 5 pi Over 4 EndFraction) )?
StartFraction 3 pi Over 4 EndFraction
StartFraction 5 pi Over 6 EndFraction
StartFraction 7 pi Over 6 EndFraction
StartFraction 5 pi Over 4 EndFraction
Answer:
3 pi over 4
Step-by-step explanation:
Answer:
guy above me is right
Step-by-step explanation: