A pilot of a helicopter plans to release a bucket of water on a forest fire. The height y in feet of water t seconds after its release is modeled by y = − 16 t 2 − 2 t + 400 . How long will it take for the water to reach the ground? Round to one number after the decimal point.
Answer:
4.93 seconds
Step-by-step explanation:
The height y in feet of water t seconds after its release is given by the equation as follows :
[tex]y=-16t^2-2t+400[/tex]
We need to find the taken taken for the water to reach the ground. When it reach the ground, y will be equal to 0. So,
[tex]-16t^2-2t+400=0[/tex]
Above is a quadratic equation whose solutions can be calculated as follows :
[tex]t=\dfrac{-(-2)\pm \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=\dfrac{-(-2)+ \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}, \dfrac{-(-2)- \sqrt{(-2)^2-4\times (-16)\times 400} }{2\times (-16)}\\\\t=-5.062\ s\ \text{and}\ 4.93\ s[/tex]
Neglecting negative value.
Hence, it will take 4.93 seconds for the water to reach the ground
still gonna cry leave step by step pls
Answer: 114
Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.
Answer:
C
Step-by-step explanation:
∠ BHC = ∠ FAB = 48° ( alternate angles )
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ABC is an exterior angle of the triangle, thus
∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C
Which graph represents -3x + 5y = -15
Answer:
B
Step-by-step explanation:
The y intercept is -3 because -15/5=-3
The obtained coordinates are matching with graph B. Therefore, option B is the correct answer.
The given equation is -3x + 5y = -15.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Rearrange the given equation that is 5y = -15+3x
y= 3/5 x - 3
Put x=0, y=0-3
y=-3
Put x=5, y=3-3
y=0
Now, the coordinates to plot graph are (0, -3) and (5, 0).
The obtained coordinates are matching with graph B. Therefore, option B is the correct answer.
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What is the justification for each step in the solution of the equation?
54+2x=5x−3(2+6x)
Select from the drop-down menus to correctly justify each step.
54+2x=5x−3(2+6x) Given
54+2x=5x−6−18x Choose....Addition property of equality, Distributive property, or multiplication Property of equality
54+2x=−13x−6 Combine like terms
54=−15x−6 Subtraction Property of Equality
60=−15x Choose......Addition property of equality, Distributive property, or multiplication Property of equality
−4=x choose........Addition property of equality, Distributive property or equality, or multiplication Property of equality
Answer:
see below
Step-by-step explanation:
54+2x=5x−3(2+6x) Given
Distribute the -3 to all the terms in the parentheses
54+2x=5x−6−18x Distributive property
54+2x=−13x−6 Combine like terms
Subtract 2x from each side
54=−15x−6 Subtraction Property of Equality
Add 6 to each side
60=−15x Addition property of equality
Divide each side by -15 ( or multiply each side by -1/15)
−4=x multiplication Property of equality
Simplify (4v^3)(3v^7)
Answer:
12v^10
Step-by-step explanation:
4v x 3v= 12v, ^3+^7=^10
Pls help me very urgently needed
Is this a function? Please help me! I literally cant do this!
Answer:
Yes, this is a function.
Step-by-step explanation:
This is a function because every input goes to exactly one output. Although 1 is listed twice in this example, it still goes to the same output of 15.
PLZ HELP QUICK ILL MARK BRAINLEIST!!!
hmm through my critical thinking I belive it's B
Solve the following:
1. 2(x+3)=x-4
2. 4(5x-2)=2(9x+3)
Please show working
Answer:
1. 2(x+3)=x-4 x=-10
2. 4(5x-2)=2(9x+3) x=7
Step-by-step explanation:
1. 2(x+3)=x-4
2x+6=x-4
2x=x-10
x=-10
2. 4(5x-2)=2(9x+3)
20x-8=18x+6
20x=18x+14
2x=14
x=7
Answer:
1) x=-10
2)x=7
Step-by-step explanation:
1.
[tex]2(x+3)=x-4\\\\2(x)+2(3)=x-4\\\\2x+6=x-4\\\\2x+6-x=-4\\\\x+6=-4\\\\x=-4-6\\\\x=-10\longleftarrow[/tex]
2.
[tex]4(5x-2)=2(9x+3)\\\\4(5x)+4(-2)=2(9x+3)\\\\20x-8=2(9x+3)\\\\20x-8=2(9x)+2(3)\\\\20x-8=18x+6\\\\20x-8-18x=6\\\\2x-8=6\\\\2x=6+8\\\\2x=14\\\\x=7[/tex]
What are the coordinates of point F (-5, -3) after a 90 degree clockwise rotation about the origin?
Answer: (-5,3)
Step-by-step explanation:
Answer::-)
There you go
Step-by-step explanation:
i dont understand the question
Answer:
2 <= to x <= 5
Step-by-step explanation:
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Polynomials are closed under which operations? Select all that apply.
Addition
Subtraction
Multiplication
Division
your answer is
Step-by-step explanation:
polynomials are closed under addition,subtraction,mutiplication except division
The polynomials are closed under addition, subtraction, mutiplication except division.
What is a polynomial?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
Polynomials are expressions involving variables raised with non negative integers and coefficients (constants who are in multiplication with those variables) and the constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
The polynomials are closed under addition, subtraction, mutiplication except division.
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Michael said, “When I divide 6 by 3, 2, or 1, the quotient is less than or equal to 6. If I divide −6 by 3, 2, or 1, I think the quotient should be less than or equal to −6. Do you agree with him? Explain.
Yes and No, if you divide 6 by 3, 2, or 1, it will have a quotient less than 6. Dividing 6 by 3 = 2, 6 by 2 = 3, 6 by 1 = 6.
Four different stores have the same digital camera on sale. The original price and discounts offered by each store are
listed below. Rank the stores from the cheapest to most expensive sale price of the camera.
Store A: price $99.99 and discount of 15%
Store B: price $95.99 and discount of 12%
Store C: price $90.99 and discount of 10%
Store D: price $89.99 and successive discounts of 5% and 5%
a. A, B, C.D
b. A, B, D, C
C. D. A, B, C
d. D, C,B,A
Answer:
should be "d" though i haven't calculated it all exactly
Step-by-step explanation:
A : 85
B : 83
C : 82
D : 81
Answer:
yes it is d
believe me
i calculated
Which fraction is BIGGER?
-7/10 or -4/5
Hello.
Negative numbers closest to 0 are the greatest.
-7/10 is farther away from 0 than -4/5 is.
-7/10 < -4/5, so -4/5 is the bigger fraction.
28+7+2=x+1
Solve equation
Answer:
x= 36
Step-by-step explanation:
28+7+2= 37
37= x+1
37-1= 36
x= 36
Answer:
x = 36
Step-by-step explanation:
28 + 7 + 2 = x + 1
x + 1 = 28 + 7 + 2
x + 1 = 37
x = 37 - 1
x = 36
I hope this helped!
CAN SOMEONE PLS HELP ME ASAP?!??
Answer:
A. is the correct answer.
Step-by-step explanation:
!!!ANSWER ASAP 100 POINTS!!! ANSWER BOTH AND TELL ME EXACTLY WHAT GOES IN EACH BOX
Answer:
1. 7¹⁰
2. 9⁸
Step-by-step explanation:
1. 7 = 7¹
Hence, using the rules of indices..... you would add the exponents when numbers that have the same base are multiplied together.
7⁹⁺¹ = 7¹⁰
2. Add exponents
9²⁺⁶ = 9⁸
-8x-3=13-9x what is the answer for x?
Answer:
x=16
Step-by-step explanation:
-8x-3=13-9x
-8x+9x=13+3
x=16
Answer:
x = 16
Step-by-step explanation:
subtract 8x from both sides
-3 = 13 -x subtract 13 to both sides
-16 = -x multiply both sides by -1 which gives you 16 = x
I HAVE UNTIL 3:30 PLZ HELPPPP 40 POINTS AND BRAINLIEST
Jake needs to buy 120 beverages for a party. Juices come in 8-packs and water comes in 12-packs.
Select all the pairs that represent a combination of juice and water that Jake can buy.
A (0, 10)
B (12, 2)
C (–2, 11)
D (, 5)
E (30, –10)
its linear equation for graphing.
Answer:
the ones you can use are A,B and E
Step-by-step explanation:
Plug each one in and find out if it works or not
Ruth is buying potatoes. Which is the better buy: a 4-pound bag for $2.40 or a 10 pound $5.20? Explain a time when the wiser purchase may not be the better buy
Answer:
The second option (10 for 5.20) and a time that the wiser purchase may not be a better buy is when they live alone. 10 potatoes is not a reasonable amount.
Step-by-step explanation:
Mark simplified 3/5 divided by 5/8; his work is shown below. Identist where he made his error.
Answer:
Mark forgot to multiply 5 · 5, so he ended up with 5 in the denominator instead of 5 · 5 = 25
Step-by-step explanation:
answer please ^^ ty i will give brainliest for correct answer(s). :))
not math but a lot of people see math more than science XD
Answer:
1: is low accuracy and high precisian. 2: is low accuracy and low precisian. 3: is high accuracy and high precisian.
Step-by-step explanation:
Evaluate. (-1/3) ^3
Answer:
[tex]-\frac{1}{27}[/tex]
Answer:
18-726;615+8876-9987 NEED HELP ASAP‼️‼️‼️
two column proof
Given: -5x+2/7 = -4; Prove: x = 6
Answer:
x = 6/7
Step-by-step explanation:
Solve the following quadratic equation:
the following quadratic equation: 2x2 - 52 + 2 = 0
Answer:
x₁ = -5, x₂ = 5Step-by-step explanation:
[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]
1) 4x + 3 23
2) x/5 -2 ≤ -6 or 8x + 1 ≥ 41
Answer:
hi
Step-by-step explanation:
A falcon flying 55 mph crosses a lake in 1 minute. How long would it take a hummingbird flying 45 mph to cross the same lake?
Answer:
1 2/9 minutes
Step-by-step explanation:
55 mph
55 / 60 = 11/12
11/12 of a mile = 1 minute
45 mph
45 / 60 = 3/4
3/4 of a mile = 1 minute
11/12 divided by 3/4
11/12 * 4/3
We can cross-cancel
11/3 * 1/3 = 11/9 = 1 2/9
It takes 1 2/9 minutes for the hummingbird to cross the lake
Hope this helps!
(Please let me know if I did something wrong!)
The hummingbird will take 1 minute 13 seconds.
Let the time that will be taken by the hummingbird be represented by x
Note that 1 minute = 60 seconds
Based on the information given, the equation that'll be used in the question will be:
45/55 = 60/x
Cross multiply
(45 × x) = (60 × 55)
45x = 3300
x = 3300/45
x = 73.33 seconds
x = 1 minute 13 seconds
The hummingbird will take 1 minute 13 seconds.
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Chelsea and her friends are making small fruit baskets for their neighbors. They have 90 pears, 45 peaches, and 75 apples. What is the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover?
Answer:
15 baskets
Step-by-step explanation:
This question is a GCF question
The first step would be to find the factors of 45, 75 and 90
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 75 are: 1, 3, 5, 15, 25, 75
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The greatest common factor is 15.
Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets
The rational numbers below are arranged in descending order. Select all of the numbers that could
come next.
4
3
93%, 0.7,
A.
1 x 10-2
B.
C.
65%
5
5
D.
E.
06
F.
2.3 x 102
2.
Answer:
f
Step-by-step explanation: