Answer:
On average the size of the area of the forest burnt down every minute is 10117.14 m²
Step-by-step explanation:
The given parameters are;
The rate consumption of forest land by the fire = 25200 acres/week
Therefore, we have;
The number of minutes in one week = 60 × 24 × 7 = 10080 minutes
Therefore;
The rate consumption of forest land by the fire per minute = 25200/10080 acres/minute = 2.5 acres/minute
The number of square meters in one acre is given as follows;
1 acre = 4,046.856 m²
Therefore;
2.5 acres/minute = (2.5 × 4,046.856 m²/(1 acre)) acres/minute = 10117.14 m²/minute
Which give;
The rate consumption of forest land by the fire= 10117.14 m²/minute.
The rate of the fire consumption of the forest is 10117.14 m²/minute.
Which of the following could be a rational number? Group of answer choices the sum of a rational number and an irrational number the product of a rational number and an irrational number the product of two irrational numbers the sum of two irrational numbers
Answer:
Is the number rational or irrational?
30‾‾‾√
rational
irrational
Step-by-step explanation: help ;-;
Option (3) the product of two irrational numbers is a rational number is a correct option.
What is a rational number?"Rational numbers are numbers that can be expressed as a fraction or part of a whole number. It includes the integers, plus all fractions, or terminating decimals and repeating decimals".
What is an irrational number?"Irrational numbers are numbers that cannot be expressed as a fraction or ratio of two integers".
For the given situation,
We need to analyze the all options.
Option 1:
The sum of a rational number and an irrational number is an irrational number.
Option 2:
The product of a rational number and an irrational number is an irrational number.
Option 3:
The product of two irrational numbers is a rational or an irrational number based on the numbers taken.
Option 4:
The sum of two irrational numbers is an irrational number.
Hence we can conclude option(3), the product of two irrational numbers is a rational number is a correct option.
Learn more about rational numbers here
https://brainly.com/question/24540810
#SPJ2
Write all the steps plzzzzzz
Answer:
Step-by-step explanation:
See attachment
9 + 8r = −7 − 4(−r + 3)
Answer:
r = -7
Step-by-step explanation:
Solve for r:
8 r + 9 = -4 (3 - r) - 7
-4 (3 - r) = 4 r - 12:
8 r + 9 = 4 r - 12 - 7
Grouping like terms, 4 r - 12 - 7 = 4 r + (-7 - 12):
8 r + 9 = 4 r + (-7 - 12)
-7 - 12 = -19:
8 r + 9 = 4 r + -19
Subtract 4 r from both sides:
(8 r - 4 r) + 9 = (4 r - 4 r) - 19
8 r - 4 r = 4 r:
4 r + 9 = (4 r - 4 r) - 19
4 r - 4 r = 0:
4 r + 9 = -19
Subtract 9 from both sides:
4 r + (9 - 9) = -9 - 19
9 - 9 = 0:
4 r = -9 - 19
-9 - 19 = -28:
4 r = -28
Divide both sides of 4 r = -28 by 4:
(4 r)/4 = (-28)/4
4/4 = 1:
r = (-28)/4
The gcd of -28 and 4 is 4, so (-28)/4 = (4 (-7))/(4×1) = 4/4×-7 = -7:
Answer: r = -7
DESPERATE! Please answer any of the questions :(( And explain bc im super confused
Answer:
Step-by-step explanation:
4. when bases are equal ,powers are also equal.
x+4=3x-1
3x-x=4+1
2x=5
x=5/2=2.5
the weight of earth is about 66 metric ton what is the standard form of 6,600,000,000,000,000,000,000, metric tone
WILL GIVE BRAINLIEST THANKS AND 5 STARS FOR CORRECT ANSWER Desmond ran a lemonade stand in front of his house for the fans walking to the football game. On the first Saturday, he sold 80 cups of lemonade. The second Saturday was cold and rainy so he sold only 70% of what he had sold the previous Saturday. How many cups did he sell on the second Saturday?
Answer:
56
Step-by-step explanation:
First, convert the 70% so that we can use it with the 80 cups. To do this, convert the percent to a decimal by moving the decimal 2 spaces to the left:
70% → 70.00 → 0.70 → 0.7
70% percent can be seen as 0.7. Multiply this by 80:
[tex]80*0.7=56[/tex]
So, 70% of 80 is 56. Desmond sold 56 cups on the second Saturday.
:Done
Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
Answer:y=0 So its A
Step-by-step explanation:3(-y+7)=3(y+5)+6
We move all terms to the left:
3(-y+7)-(3(y+5)+6)=0
We add all the numbers together, and all the variables
3(-1y+7)-(3(y+5)+6)=0
We multiply parentheses
-3y-(3(y+5)+6)+21=0
We calculate terms in parentheses: -(3(y+5)+6), so:
3(y+5)+6
We multiply parentheses
3y+15+6
We add all the numbers together, and all the variables
3y+21
Back to the equation:
-(3y+21)
We get rid of parentheses
-3y-3y-21+21=0
We add all the numbers together, and all the variables
-6y=0
y=0/-6
y=0
Answer:
y = 0
Step-by-step explanation:
How do i answer these questions
Answer:
well basically for the first question it gives you
The rate that increases. which is 0.03 per second
And that R = 48 inches at time.
and T= 0.
The question wants you to determine the volume of the balloon at the time and find the volume when t= 300 seconds. so just replace 0 to 300.
Write 645,300 in expanded form using exponents
Answer:
Step-by-step explanation:
(6 x 10^5) + (4 x 10^4) + (5 x 10^3) + (3 x 10^2)
Evaluate function f(x) = 5x - 3 f(5) =
Answer:
f(5) = 22
Step-by-step explanation:
When we want to solve for f(x) = 5x - 3 when x is 5, all we have to do is plug in 5 as x into the equation.
f(x) = 5x - 3
f(5) = 5(5) - 3
5 * 5 = 25
25 - 3 = 22
f(5) = 22
I hope this helps you!
HELP PLEASE
Select the correct answer.
Over which interval of the domain is function m
negative?
Answer:
C, (6, ∞)
Step-by-step explanation:
The x intercept is 6, and it continues downward for infinity. :) I had this question on my assignment today and it was right!
Interval of the domain for which function is negative is equals to ( 6, ∞).
What is function?" Function is defined as relation between two variable is such that for all the inputs there is exactly one output."
Standard equation of the line
y = mx + b
b = y-intercept
m = slope
According to the question,
For the given line in graph,
y- intercept = 4
x- intercept = 6
Therefore ,
For the function y = mx + b we have,
b = 4
y = mx + 4
Substitute the value of x- intercept in the function y = mx +4 we get,
when x = 6 , y= 0
[tex]0 = m(6) + 4\\\\\implies m= \frac{-4}{6}\\ \\\implies m= \frac{-2}{3}[/tex]
Function [tex]y = \frac{-2}{3}x+ 4[/tex]
Interval of the domain is function is negative.
[tex]y < 0 \\\\\implies \frac{-2}{3}x+ 4 < 0\\\\\implies -2x + 12 < 0\\\\\implies -2x < -12\\\\\implies 2x > 12\\\\\implies x > 6[/tex]
Interval of the domain is function is negative is ( 6, ∞).
Hence, Option (C) is the correct answer.
Learn more about function here
https://brainly.com/question/12431044
#SPJ2
A ladder leans against a vertical wall of
height 5 m. If the foot of the ladder is
12 m away from the wall, calculate
the length of the ladder.
Answer: 13m
Step-by-step explanation:
Use Pythagorean theorem: a²+b²=c²
5²+12²=c²
25+144=c²
c²=169
c=13 (even if it is true that there are positive and negative solution, but length cannot be negative)
Given:
A ladder is leant against a wall of height 5m.The foot of ladder is 12m away from the wall.To Find:
The length of ladder.Concept Used:
We will use Pythagoras Theorem.Answer:
Here given
Vertical height = 5m.Base = 12m.Here the length of ladder is equal to hypotenuse of ∆ so formed.
Now in a right angled ∆ ,
=> (hypotenuse)² = (pependicular)²+(base)².
=> h ² = (12m)²+(5m)²
=> h² = 144m² + 25m².
=> h² = 169m².
=> h = √169m².
=> h = 13m.
Hence the required answer is 13m.
Simplify (7 + 1)2 - (11 +32) 4.
O A. 59
O B. 17
O C. -3
O D. -13
the 32 is an exponent. so it’s 3 to the second power.
help !
Answer:
59
Step-by-step explanation:
I think your equation is supposed to look like this:
(7 + 1)² - (11 + 3²)/4
Follow PEMDAS to solve (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction)
(7 + 1)² - (11 + 9)/4
(8)² - (20)/4
64 - (20)/4
64 - 5
59
i need help asap !!!!!!
Answer:
B. ZJ = 85
C. KH = 68
Step-by-step explanation:
Given that ZK, ZL, ZM are perpendicular bisectors of ∆GHJ, they form a circumcenter which is equidistant from the vertices of ∆GHJ. According to the circumcenter theorem, ZH = ZG = ZJ = 85.
Also each median formed is equal. This means: KH = GH, LH = LJ, MG = MJ
Since HG = 136, KH = ½ of 136 = 68.
The two options that are true are:
B. ZJ = 85
C. KH = 68
9. Find the area of rectangle.
2x
A=
5x?
please help
Answer:
[tex] \boxed{\sf Area \ of \ rectangle = 10x^3} [/tex]
Given:
Length of rectangle = 5x²
Width of rectangle = 2x
To Find:
Area of rectangle
Step-by-step explanation:
[tex]\sf Area \ of \ rectangle = Length \times Width[/tex]
[tex] \sf = 5 {x}^{2} \times 2x[/tex]
[tex] \sf = 5 \times 2 {x}^{2 + 1} [/tex]
[tex] \sf = 5 \times 2 {x}^{3} [/tex]
[tex] \sf = 10 {x}^{3} [/tex]
Answer:
[tex]\huge\boxed{Area\ of\ Rectangle = 10x\³}[/tex]
Step-by-step explanation:
Area of Rectangle = Length * Width
Where Length = 2x and Width = 5x²
Area of Rectangle = (2x)(5x²)
Area of Rectangle = 10x³
Consider this expression.
x^2 + x - 72
Replace the values of a and b to rewrite the given expression.
( x + a )( x + b )
Answer:
Step-by-step explanation:
Hello, first we can develop (x+a)(x+b)
[tex](x+a)(x+b)=x(x+b)+a(x+b)=x^2+bx+ax+ab=x^2+(a+b)x+ab[/tex]
We know that this should be equal to
[tex]x^2+x-72[/tex]
So, we can identify the coefficients of the like terms
1 = 1 (terms in [tex]x^2)[/tex]
1 = a + b (terms in x)
-72 = ab (constant term)
72 is 8 * 9 so, -72=9*(-8)
and we have 9 - 8 =1
so, a = 9 and b = -8
[tex]\Large \boxed{\sf \bf \ x^2+x-72=(x+9)(x-8) \ }[/tex]
Thank you
We are to consider the given expression:
x² + x - 72
The above expression is a quadratic expression and the objective is to determine its roots in form of (x + a) (x + b)
In form of (x + a) (x + b), the values of the expression x² + x - 72 in form of (x + a) (x + b) are 9 and -8 respectively.
From the given expression;
x² + x - 72
So; we will look for two factors of 72 in such a way that if those factors are multiplied together; they will give -72 and the addition of those two numbers will give +1.
So, the factors of 72 are:
1, 2, 3, 6, 8, 9, 12, 36, 72From the above factors;
the multiplication of (-8) × (9) will give us = -72and the addtion of -8 + 9 = +1∴
Our factors are: (-8) and (9)
From x² + x - 72, we have:
x² + (-8x) + (9x) - 72 = 0
(x² - 8x) + (9x -72) = 0
Opening the brackets by factorization;
x(x -8) + 9(x -8) = 0
(x + 9) or (x - 8) = 0
(x + 9) (x - 8) = 0
Recall that, we are to replace the values of a and b with the roots derived from the expression x^2 + x - 72.
Therefore, we can conclude that the values of a and b are 9 and -8 respectively.
Learn more about quadratic equations here:
https://brainly.com/question/17177510?referrer=searchResults
John says 1/3 is smaller than 1/8 because 3 is less than 8. Jane
says 1/3 is greater than 1/8 because the pieces are bigger. Who is
right? How do you know?
Answer:
Jane is correct
Step-by-step explanation:
100 divide by 3 is 33.333 recurring
100 divided by 8 is 12.5
A box contains 65 balls numbered from 1 to 65. If 9 balls are drawn with replacement, what is the probability that at least two of them have the same number
Answer:
Probabilty= 7.66*10^-3
Step-by-step explanation:
A box contains 65 balls numbered from 1 to 65.
9 balls are drawn with replacement.
Probabilty of selecting a number = 1/65
Probabilty of selecting a number
= 0.0154
Probabilty of at least 2 numbers out of 9 selected to have Same number
Probabilty= 9C2(0.0154)^2(0.9846)^7
Probabilty= 7.66*10^-3
17.9% of what number is 14.857?
Answer:
83
Step-by-step explanation:
.179 of x = 14.857
x = 14.857/.179
x = 83
What are two lines that lie within the same plane and never intersect.
Answer:
Step-by-step explanation:
Parallel lines
Which symbols could be used to make the folllowing statement true -15 -19
Answer:
-15 > -19
Step-by-step explanation:
-15 > -19
-15 is closer to 0 than -19 so it is greater than
The sum of two numbers is eight. Using y to represent the smaller number,
translate "three times the larger number" into a variable expression and thenuh
simplify.
Answer:
24 - 3y
Step-by-step explanation:
Since the sum of the two numbers is 8, the larger number is 8 - y.
Three times the larger number: 3 (8 - y).
Simplify using Distributive property: 3 (8 - y) = 24 - 3y.
So the answer is 24 - 3y
Will mark brainliest
Conjecture: How many solutions do x3 - 5x2 + 28 = 0 have? Find the real solution(s) of the equation. Then use polynomial long division to find the other solution(s).
Answer:
x = - 2 is confirmed to be the real solution of the equation.
Step-by-step explanation:
We are tasked with the following activities
Conjecture: How many solutions do [tex]x^3 - 5x^2 + 28 = 0[/tex] have?
Find the real solution(s) of the equation.
Then use polynomial long division to find the other solution(s).
To start with the how many solutions that [tex]x^3 - 5x^2 + 28 = 0[/tex] have
suppose that -2 happens to be a root of the equation, we can easily replace x = - 2 in the given equation. Then , we will have :
[tex](-2)^3 - 5(-2)^2 + 28 = 0[/tex]
[tex]-8 - 5\times 4 + 28 = 0[/tex]
-8 - 20 + 28 = 0
-28 - 28 = 0
0 = 0
The equation resulted to 0 = 0 when x = -2 , as such -2 happens to be one root of the equation
So , as x = - 2
x + 2 = 0
x = - 2 is confirmed to be the real solution of the equation.
A picture showing the polynomial long division method used for solving the polynomial equation and other solution(s) can be found in the attached file below.
The present value of R8052.55 received in 5 years at 9% interest is
Answer:
The present value of a bond is calculated by discounting the bond's future cash payments by the current market interest rate. In other words, the present value of a bond is the total of: The present value of the semiannual interest payments, PLUS. The present value of the principal payment on the date the bond maturaes.Calculate the present value investment for a future value lump sum return, based on a constant interest rate per period and compounding. This is a special instance of a present value calculation where payments = 0. The present value is the total amount that a future amount of money is worth right now.NEED HELP QUICK! Points P, Q, and R are shown on the number line. What is the distance between point P and point R? A) 47 units B) 61 units C) 121 units D) 132 units ' The numberline is below.
Answer:
plz give hlamberttx the brainliest!
Step-by-step explanation:
he saved my grade and helped me sooo much with this question. he is 100% correct i got an 100 on my usa test prep
toss two dice. the probability of rolling an even number on both sides is 1/2x1/2= 1/4. predict in 120 tosses how many times an even number will appear on both dice?
Answer:
Chances of both even number = 30 times
Step-by-step explanation:
Given:
Chances of both even number = 1/4
Total number of tosses = 120
Find:
How many times both dice show even number
Computation:
Chances of both even number = [Chances of both even number][Total number of tosses]
Chances of both even number = 1/4 [120]
Chances of both even number = 30 times
pt 2 7-7 Please helppp If you guys want lol ill do 7 moreeee LOL
Answer:
c = 72
Step-by-step explanation:
8
x ___c__ = 9 x 8
8
c = 72
Hi there! Hopefully this helps!
--------------------------------------------------------------------------------------------------
Answer: c = 72~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]\frac{c}{8} = 9[/tex]
Multiply both sides by 8.
[tex]c = 9 \times 8[/tex]
Multiply 9 and 8 to get, you guessed it, 72!NEED TO SHOW ALL WORK) For each of the equations given below, use the triangle method to solve for the
desired variable.
Answer:
1) [tex]a=\dfrac{F}{m}[/tex]
2) [tex]m=\dfrac{p}{v}[/tex]
Step-by-step explanation:
1) The given equation is
[tex]F=ma[/tex]
We need to solve this for a.
In the given triangle place single variable i.e., F, on the top and variables in the product in the bottom (order of m and a does not matter) as shown in the below figure.
Using the triangle and the operations (× and ÷), we get
[tex]F=ma[/tex]
[tex]a=\dfrac{F}{m}[/tex]
[tex]m=\dfrac{F}{a}[/tex]
Therefore, the required answer is [tex]a=\dfrac{F}{m}[/tex].
2) The given equation is
[tex]p=mv[/tex]
We need to solve this for m.
In the given triangle place single variable i.e., p, on the top and variables in the product in the bottom (order of m and v does not matter) as shown in the below figure.
Using the triangle and the operations (× and ÷), we get
[tex]p=mv[/tex]
[tex]m=\dfrac{p}{v}[/tex]
[tex]v=\dfrac{p}{m}[/tex]
Therefore, the required answer is [tex]m=\dfrac{p}{v}[/tex].
El recibo del servicio de celular del mes de abril facturó un monto de S/52,50 por un consumo de 69 minutos; y el del mes de mayo, facturó S/32 por un consumo de 28 minutos. El monto que cobran cada mes incluye un costo fijo por mantenimiento y un precio establecido por minuto de consumo. ¿Cuántos minutos se debería consumir como máximo para pagar menos de S/30 el siguiente mes?
Answer:
x = 24 minutos
Step-by-step explanation:
Llamaremos "y" el costo fijo mensual y "x" la cantidad de minutos consumidos al mes, según lo cual:
El enunciado del problema establece que la facturación en pesos es igual a un costo fijo y más el consumo en minutos del mes, entonces
En Abril 52,50 = y + b*x ⇒ 52,5 = y + 69*b
y en Mayo 32 = y + b*x ⇒ 32 = y + 28*b
Así obtuvimos un sistema de dos ecuaciones con dos incógnitas, que resolveremos y obtendremos los valores de b y de y
y = 52,50 - 69*b
32 = ( 52,50 - 69*b ) + 28*b
- 20,50 = - 41*b
b = 0,5
y y = 52,5 - 69*0,5
y = 18
Entonces la ecuación de facturación es :
F(x) = 18 + 0,5*x
Para pagar como máximo 30 pesos en el mes siguiente
F(x) = 30 = 18 + 0,5*x
30 - 18 = 0,5*x
x = 24 minutos