Answer:
8171.28
Step-by-step explanation:
Area of a circle formula-
A= (pi)(radius^2)
pi= 3.14
to answer THIS question
(3.14) * (51)^2
(3.14) * (2601)
= 8171.28
A smoke jumper jumps from a plane that is 1900 ft above the ground. The function h=-16t+1900 gives the jumper's height h in feet during the free fall at t seconds. a. How long is the jumper in free fall if the parachute opens at 1000 ft? b. How long is the jumper in free fall if the parachute opens at ft? c. What is a reasonable domain and range for the function h? a. The jumper is in free fall for nothing s if the parachute opens at 1000 ft
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]
Can you show steps on how to do 2 – 8x = -22 ? Thank you!
Answer:
x squared = 8x
Step-by-step explanation:
Move
8
x
to the left side of the equation by subtracting it from both sides.
x
2
−
8
x
=
0
Factor
x
out of
x
2
−
8
x
.
Tap for more steps...
x
(
x
−
8
)
=
0
If any individual factor on the left side of the equation is equal to
0
, the entire expression will be equal to
0
.
x
=
0
x
−
8
=
0
Set the first factor equal to
0
.
x
=
0
Set the next factor equal to
0
and solve.
Tap for more steps...
x
=
8
The final solution is all the values that make
x
(
x
−
8
)
=
0
true.
x
=
0
,
8
Lucille has an aquarium with 9 gallons of water which weighs 85 pounds. The stand holding the aquarium can hold no more than 112 pounds. She wants to add 2.5-pound rocks, r, her tank. Complete the inequality to show how many rocks she can add.
Answer:
7.1
Step-by-step explanation:
someone help me please. Suppose you are preparing a snack mix. You want the total protein from peanuts and granola to equal 28 grams. peanuts have 7grams of protein per ounce, and granola has 3 grams of protein content of your mix.
(a)write an equation for the protein content of your mix.
(b) graph your equation. use your graph to find how many ounces of granola you should use if you use 1 ounce of peanuts.
Answer:
I'm so sorry all i can do is encourage you.
Step-by-step explanation:
I hope you get the right answer and have a nice day!
Another name for Rotation is slide.
True
False
False:
A rotation is the action of rotating around an axis or center.
A slide means to move along a smooth surface while maintaining continuous contact with it.
X^2-x-12, please show your work so I can know how to do it. Thank you:))
Which of these expresses the distributive property?
a) (a + b) + c = a +( b + c)
c) a(bc) = (ab)c
d) a( b + c) = ab + ac
9514 1404 393
Answer:
d) a(b + c) = ab + ac
Step-by-step explanation:
The distributive property explains how multiplication distributes over addition. It can be expressed by the equation ...
a(b + c) = ab + ac
Mazie bought a bike during a 20% off sale and saved $16. What was the original price?
Answer:
$80. Which means she spent $64 with the sale, but the original price is $80.
Step-by-step explanation:
16 is 20% of 80
Answer
The answer is $120.00
Options
What was the price of the bicycle when Mazie bought it?
$140.00
$149.80
$130.00
$120.00
Explanation
Multiply the price of the bike by the discount percentage
150 * 0.20 = 30
Subtract the number you just found from the original price
150 - 30 = 120
There is your answer
You could take a shortcut by doing the following
1 - 0.20 = 0.80
Then multiply the original value by the new percentage
150 * 0.80 = 120
Personally I like the first method because it makes more sense.
Find the slope and the y-intercept of the graph of the linear equation.
- 2x + y = 4
Answer:
y=2x+4
Step-by-step explanation:
Kevin spent 10 hours doing homework last week. This week he spent 15 hours doing homework. He says that he spent 150% more time doing homework this week. Is he correct? Show your work to justify your decision.
9 is 150% of what number
Answer:
13.5
Step-by-step explanation:
150% × 9 =
(150 ÷ 100) × 9 =
(150 × 9) ÷ 100 =
1,350 ÷ 100 =
13.5
My proof :
If 150% × 9 = 13.5 =>
Divide 13.5 by 9... ... And see if we get as a result: 150%.
I WILL GIVE BRAINLY!!!!!!!!!
Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y
PLSSSS SHOW YOUR WORK PLSSSS
Answer: C. 5(6) + 0.65y
Step-by-step explanation:
Process of elimination.
65% of y = 0.65y
A has 65y, completely incorrect.
B has 6y, also completely incorrect.
C has 0.65y, correct.
D has 1.65y, also completely incorrect.
A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a basket, 3 points are added to their respective scores. Durant has 18 points and Westbrook has 12 points. Which of the following options has the pair of explicit formulas that represents the number of points for each player as an arithmetic sequence?
A: Durant: 18 +(n-1)(3)
B: Durant: 18-(n-1)(3)
C: Durant 18+(n-3)
D: Durant 18+3n
please tell me how you got it thanks <3
i think its C
:) :) :) :) :) :) :)
all of the following represents the same expression except ___.
a. -8ab
b. -8(a)(b)
c. 8 - ab
d. -8 • a • b
Answer:
What is the following expresion?
Step-by-step explanation:
Answer:
C. 8 - ab
Step-by-step explanation:
all the other represents -8 multiply by a by b.
The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen?
Answer:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Step-by-step explanation:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Answer:
Step-by-step explanation:
Remark
This problem only wants to know how many ways to select 7 starting from a base of 11.
Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.
That problem is a combination and is written as
(11)/(7)
The formula used is
11! / (7! (11 - 7)! )
11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out
11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330
the sizes of the angles in degrees of the quadrilateral are
x+10
2x
x+30
x+80
a) use this information to write down and equation in terms of x
b) use your answer to part a to work out the size of the smallest angle of the quadrilateral
Answer:
5x+120
Step-by-step explanation:
first you add the 2x x and x and x that would get you 5x and then add the 20 and 10 and 80 that would get you 120
Write the equation of a line that is perpendicular to the equation y=2/3x-6, but that passes through the point (2, 3).
Answer:
y=−3/2x+6
Step-by-step explanation:
perpendicular, so theres a lot of switching things
8x=24
Solve the equation for x
Answer:
x=3
Step-by-step explanation:
Divide both sides by 8.
Answer:
3
Step-by-step explanation:
8x3=24..............
2x-y=-2 what is the answer for y?
Answer:
x2+2=Y
Step-by-step explanation:
Write in standard form 8x2−5+7x4−9x−x5
Please explain i don't understand
The standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
To write the given expression in standard form, we need to arrange the terms in descending order of their exponents (from highest to lowest).
So we start by rearranging the given expression as:
x⁵+ 7x⁴ + 8x² - 9x - 5
Now the terms are ordered from highest to lowest exponent.
Now we need to rewrite the expression by collecting like terms and arranging the coefficients in descending order of exponent.
The standard form of the expression is:
x⁵+ 7x⁴ + 8x² - 9x - 5
Hence, the standard form of the expression is x⁵+ 7x⁴ + 8x² - 9x - 5.
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ3
Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?
Answer:
A haircut costs $31
Coloring hair costs $93
Step-by-step explanation:
h = haircut
c = color
First equation: 1h + 2c = 217
Second equation: 2h + 1c = 155
Solve using elimination:
First, multiply both the equations so that they cancel the h's out:
First equation:
-1(2h + 1c = 155)
-2h - 1c = -155
Second equation:
2(1h + 2c = 217)
2h + 4c = 434
Then, put the equations together, and solve:
2h + 4c = 434
-2h - 1c = -155
3c = 279
c = 93
Find h:
2h + 1c = 155
2h + 1(93) = 155
2h + 93 = 155
2h = 62
h = 31
Hope this helped!
how to write k/3 + 16 in words
Answer:
k divided by three plus sixteen
what is the slope of (4,3) and (1,-1) the line is positive
The slope would be 1.33
Sam went on a hike. He hiked in a straight line 6.4 km east, then walked in a straight
line going south for 4.6 km. Determine how far Sam was from his starting point at
this point in his hike, rounded to the nearest tenth of a km. Show all of your steps.
Please I need help asap
Answer:
he walked 11.0km the nearest tenth would be 10.0km
Step-by-step explanation:
hope this helps
Write the equation
(0,5)
(2.0)
How many solutions does this system of equations
have?
A: Infinitely many
B: Exactly two
C: None
D: Exactly one
Answer
d i think
Step-by-step explanation:
what is 1/4 divided by 5.
Answer: 1/20 or 20
Step-by-step explanation:
Please explain how you answered it along with your answer - thanks
Answer:
B
Step-by-step explanation:
Because you have to separate the equation. So you get [tex]\frac{2x-4}{3}[/tex]>[tex]\frac{1}{5}[/tex] And [tex]\frac{2x-4}{3}[/tex]<6
Then you have to solve for x so you get x>[tex]\frac{23}{10}[/tex] and x>11
Then you find the intersection so the answer is B
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answer:
y=-4x+2
hope this helped