An object is dropped from a height of 288 feet. The equation, - 16t ^ 2 + 288t = h(t) represents the height, hof the object after tseconds. How long does it take the object to the ground?
0 seconds
16 seconds
18 seconds
88 seconds
18 seconds
Step-by-step explanation:
The object will reach the ground when its height h(t) = 0. Therefore, we can write
[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]
Solving for t, we get
[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]
10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function?
It also gives me these numbers:
a. 2x
b. 2x + 2
c. x^2
d. 2x^2
Answer:
d. 2x^2
Step-by-step explanation
i need help! i will be giving brainliest if you actually show the work and dont troll :)
Answer:
you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.
Step-by-step explanation:
Plz mark brainliest
Second Graph problem! Can anybody please help me out with this? (Almost done for today) (Algebra graph problem)
Answer:
x = -2
Step-by-step explanation:
The expression f(x) = 1 corresponds to the point on the graph that is 1 unit above the x-axis. You can locate that horizontal line and see where it intersects the graph. That point of intersection is 2 grid squares to the left of the y-axis, where x = -2.
f(-2) = 1
x = -2
45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days
Answer:
65 cows
Step-by-step explanation:
Inverse rule of three
[tex]45-------13\\x -------- 9[/tex]
[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]
Hope this helps
Mikey's family is taking a road trip. Their car can travel no more than 260 miles without needing to refill the gas tank. They have traveled 112 miles since they last filled the gas tank.
Mikey knows that the inequality representing this situation is 112+x≤260.
Select from the drop-down menu to correctly interpret the solution of this inequality.
Mikey's family can drive
at most 148
more miles before they need to refill the gas tank.
Answers choices are:
More than 372
More than 372
at most 148
at least 148
The solution to the inequality is that Mikey's family can drive at most 148
Inequality shows the non equal comparison of numbers or expressions.
Given that Mikey situation can be represented by the inequality:
112 + x ≤ 260
Solving the inequality:
112 + x ≤ 260
Subtract 112 from both sides of the equation:
112 + x - 112 ≤ 260 - 112
x ≤ 148
Hence from the inequality, we can see that Mikey's family can drive
at most 148
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The figure below shows the graph of function f with domain [-1,1] and range [0,1].
The domain are the possible input while the range are the possible output
of a function.
(a) The domain = [-√2, √2], the range = [0, 2](b) The domain = [-1, 1], the range = [0, 1](c) The domain = [-1, 1], the range = [0, -1](d) The domain = [0, 2], the range = [0, 1](e) The domain = [-(2 + √2), (√2 - 2)], the range = [0, 2]Reasons:
The given functions can be expressed by the equation; (-x + 1)·(x + 1) = -x² + 1
Therefore, we have;
(a) y = f(x) + 1 = -x² + 1 + 1 = -x² + 2
The x-intercept of the above function are, x = √2, and x = -√2
Which gives;
The domain = [-√2, √2]
The range = [0, 2]
(b) y = 3·f(x) = 3 × (-x² + 1) = -3·x² + 3
At the x–intercepts, we have;
-3·x² + 3 = 0
x = ±1
The domain = [-1, 1]
The maximum value of y is given at x = 0, therefore;
= -3 × 0² + 3 = 3
The range = [0, 1]
(c) y = -f(x) = -(-x² + 1) = x² - 1
At the x–intercepts, x² - 1 = 0
x = ± 1
The domain = [-1, 1]
The minimum value of y is given at x = 0, which is y = -1
The range = [0, -1]
(d) y = f(x - 1) = -(x - 1)² + 1 = -x² + 2·x
At the x–intercepts, we have; -x² + 2·x = 0, which gives;
(-x + 2)·x = 0
Which gives, x = 0, or x = 2
The domain = [0, 2]
The maximum value of y is given when x = -b/(2·a) = -2/(2×(-1)) = 1
y = f(1) = -1² + 2×1 = 1
Therefore;
The range = [0, 1]
(e) y = f(x + 2) + 1 = (-(x + 2)² + 1) + 1 = -x² - 4·x - 2
At the x–intercepts, we have; -x² - 4·x - 2 = 0, which gives;
x = -(2 + √2) or x = x = √2 - 2
The domain = [-(2 + √2), (√2 - 2)]
The maximum value of y is given when x = -4/(2)) = -2
Which gives;
-(-2)² - 4·(-2) - 2 = 2
The range = [0, 2]
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the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books
Answer:
the local library raised money by having a used book Rebecca volunteered to help. her task was to stick price labels on each of the 198 books on a bookshelf in 5 minutes Rebecca labeled 18 books at this rate what was the total number of minutes rebecca needed to label all 198 books
A coin is tossed 4 times. What are the odds against the coin showing tails all 4 times?
Answer:
1/16
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex] * [tex]\frac{1}{2}[/tex]
Jacob travels to the shops 5 miles from his home, then he travels to the
post office 3 miles from the shops. Afterwards he travels home. What is
the total distance Jacob traveled? What is the total displacement of
Jacob?*
Distance 8 miles : Displacement 8 Mlles
Distance 16 Miles: Displacement 0
Distance 8 Miles: Displacement 8 Miles
Distance 6 miles : Displacement 8 miles
Answer:
[tex]\huge\boxed{Distance:16mi}\\\huge\boxed{Displacement: 0mi}[/tex]
Step-by-step explanation:
Because Jacob starts and ends at his house, his total displacement is 0mi, because the distance from his house to his house is 0 mi.
Because Jacob travels 5 miles to the shops, then (N.B. I'm inferring here) in a straight line, 3 more miles to the post office, a total distance of 8 miles, then another 8 backwards, he travels a total distance of 16mi.
Hope it helps :) and let me know if you want me to elaborate.
(1.2 times 10^9) divided by (3 times 10^5) in scientific notation
Answer:
[tex]4x \times {10}^{3} [/tex]
Step-by-step explanation:
[tex] \frac{1.2}{3} \times \frac{ {10}^{9} }{ {10}^{5} } [/tex]
[tex]0.4 \times {10}^{9 - 5} [/tex]
[tex]0.4 \times {10}^{4} [/tex]
[tex] = 4 \times {10}^{3} [/tex]
Ratios:
The number of Anna's baseball cards is 3/4 the number of Patricia's cards. If Anna gives half of her cards to Patricia, what will be the ratio of Anna's cards to Patricia's cards?
Answer:
3/11
Step-by-step explanation:
thank you for the poits
Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
16.12 divided by 52 QUICK
0.31
Ok Hope it’s correct ;)
Rational numbers on the number line
Answers:
A = -5/4B = -0.5C = 2=====================================
Explanation:
The fraction -5/4 converts to -1.25 after using your calculator or long division. It represents the mixed number -1 & 1/4. So we go 1 full unit to the left to arrive at -1, then we move another 1/4 unit to the left to get to point A. That's why point A is located at -5/4 = -1.25 = -1 & 1/4.
Point B is directly midway between 0 and -1, so it must be at -0.5; you can use the midpoint formula.
OMG HELP RN
Amelia had 29 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
A.
29 - 10 - S
B.
29 + S + 10
C.
29 + 10 - S
D.
29 + S - 10
Answer: It should be C
Step-by-step explanation: This is because since She has 29 seashells then got 10 more that would add it and since she gave some to her little sister we subtract there
Answer:
I think that it would be C 29+10-S
Step-by-step explanation:
I say this because she had 29 then got 10 which would be 29+10 and she gave S away that's 2o+10-S
Which lines are parallel? Why?
A) a || b by same side interior angles
B) c || d by same side interior angles
C) c || d by converse of corresponding angles
D) a || b by converse of same side interior angles
E) a || b by converse of corresponding angles
F) a || b by corresponding angles
G) c || d by converse of same side interior angles
H) c || d corresponding angles
9514 1404 393
Answer:
C) c || d by converse of corresponding angles
Step-by-step explanation:
Only corresponding angles where transversal b crosses lines c and d are shown. All answer choices involving a||b or interior angles can be eliminated from consideration.
The "corresponding angle" theorem tells you corresponding angles are congruent if the lines are parallel.
The converse of that theorem tells you the lines are parallel if the corresponding angles are congruent. Here, the angles are shown congruent, so the "converse" theorem applies.
what's
- 5 3/4 + (-4 5/6) in simplest form
Answer:
-(127/12)
Step-by-step explanation:
-23/4 -29/6 = -254/24
-254/24 = -127/12
solve pls brainliest
Answer:
23.4
Step-by-step explanation:
23.4
Answer:
23.40
Step-by-step explanation:
H . E . L . P
this work is due tommorow, and i have absolutely no idea what the answer is. please help me if you can !
( don’t comment for points. )
Answer:
A) 25
B) 64
Step-by-step explanation:
Hope this helps :))
Step-by-step explanation:
x= 5
a) 5² = 5×5 =25
b) (5+3)² = 8²
= 8 × 8
= 64
Please help WILL GIVE BRAINLIEST! find the missing triangle measurements
ABC=50
DCE=65
DEF= I think 115
I hope that helps I would appreciate brainliest if possible :)
Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ
Answer:8x-40
Step-by-step explanation:
Because when we simply 4(x-5)/2
We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).
Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help
Glasses cost $0.50. You buy 2. How much do you pay?
Answer:
1 dollar
$1.00
$1
Step-by-step explanation:
A circle has a diameter of 18 inches. Which is the following is closet to the circumference of the circle?
Answer:25.13
Step-by-step explanation:
use the formulas
C=2πr
d=2r
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You buy clothing at a sale. You buy a sweater at
7
10
of its original price of $35. Answer each question and show all your work.
a. How much money did you spend?
b. How much money did you save?
c. What fraction of the total original price did you save?
The amount that will be spent is $24.50, the amount saved will be $10.50, and the percentage saved will be 30%.
The amount that will be spent will be:
= 7/10 × $35 = $24.50
The amount that will be saved will be:
= $35 - $24.50 = $10.50
The fraction of the original price that is saved will be:
= 10.50/35 × 100
= 30%
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You are going on vacation to england. you have $1,000 and would like to know how much this amount is worth in their currency. england's currency is the pound sterling, which is denoted by the symbol £. you find that the exchange rate is £1 = $1.28. fill out your excel calculated using this exchange ratio to find the pound sterling equivalent of your $1000. then, submit your project on the next page.
Answer:
yo good luck I dont know the anwsee
work out the area of this quarter circle take p2b 3.14 to and read and other digits given by a calculator
Answer:
Step-by-step explanation:
area of a full circle is A = πr²
so a quarter of a circle area is A = πr²/4
A = 3.142(7²)/4
A = 38.4895 cm² picture answer
Using π = 3.14 results in
A = 3.14(7²)/4
A = 38.465 cm² written question answer
For comparison purposes,
Carrying the precision of π into many more significant digits results in
A = 38.484510006474...cm²
Tell whether the sequence is arithmetic. If it is, what is the common difference?
2, 7, 13, 20...
a. yes; 5
b. yes; 6
c. yes; 2
d. no
Answer:
No
Step-by-step explanation:
7 - 2 = 5
13 - 7 = 6
20 - 13 = 7
PLEASEE HELPP I WILL GIVE BRAINLIEST
Answer:
p=0.4
Step-by-step explanation:
6(p+2.25)=15.9
6p+13.5=15.9
6p=2.4
p=0.4
1 year = 365 days
1 day = 24 hours
How many years is 1,000,000 hours?
Has to be dimensional analysis
Answer: 41,667
Step-by-step explanation:
1,000,000 divided by 24= 41,666.666
you should round this answer up if your question asks for that to 41,667