The percentage of the surface light :
[tex]\frac{I}{I_0} \times 100=27.25 \%[/tex]
[tex]$\frac{I}{I_0} \times 100=7.43 \%$[/tex]
This is further explained below.
What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?Generally, the equation for is mathematically given as
We have; the intensity of light d ft below the surface given by
I=I_0 [tex]e^{-0.26 d}[/tex]
Where; I_0= Intensity of the light at the surface.
d= depth (in feet).
A)
d=5 \mathrm{ft}:
[tex]\quad I=I_0 \cdot e^{-0.26 \times 5} \\\\I=I_0 \times e^{-1 \cdot 30}$[/tex]
[tex]$\left(\frac{I}{I_0}\right)=e^{-1.30}=0.27253[/tex]
In of form:
[tex]\frac{I}{I_0} \times 100=27.25 \%[/tex]
b)
[tex]$d=10 \mathrm{ft}:[/tex]
[tex]\quad \mathrm{J}=\mathrm{I}_0 e^{-0.26 \times 10}\\\\=I_0 e^{-2.60}$[/tex]
[tex]$\left(\frac{I}{I_0}\right)[/tex]=e^{-2.60}
[tex]$\left(\frac{I}{I_0}\right)[/tex]=0.07427
In form: [tex]$\frac{I}{I_0} \times 100=7.43 \%$[/tex]
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CQ
Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=Ioe^-0.26d,Where Io is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?
The table below shows last year's gross income, standard deduction, and
number of exemptions for four different workers.
"d/
Gross
Income
Standard
Deduction
Number of Exemptions at
$3650 Each
Clara
$61,788
$5700
1
Esther $66,837
$8350
2
Jerry
$67,902
$5700
3
Leo
$63,478
$8350
1
Assuming that each worker used the standard deduction and that none of the
workers had any additional adjustments, which worker had the lowest taxable
income last year?
A. Esther
B. Clara
C. Leo
O D. Jerry
Answer:
I am pretty sure answer is Leo he has the lowest dollar amount with the lowest number of exemptions that is how I did the one I just took and did fine
Step-by-step explanation:
What are composite numbers 7 13 39 97
39 is a composite numbers out of 7 13 39 97.
What is composite number?A composite number is one that can be generated by multiplying two smaller positive numbers. It is a positive integer with at least one divisor other than 1 and itself. Every positive integer is either composite, prime, or the unit 1, hence composite numbers are those that are neither prime nor a unit.
The integer 14 is a composite number, for example, since it is the product of the two smaller integers 2 7 Similarly, the numerals 2 and 3 are not composite numbers because they can only be divided by one and themselves.
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David Egil and frances share money in the ratio 2:7:9 Egil gets £85 more than David work out how much they each get ?
Answer:
David gets £34, Egil gets £119 and Frances gets £153.
Step-by-step explanation:
Let the amount of money David gets be 2x, Egil be 7x and Frances be 9x.
7x = 2x + 85
7x - 2x = 85
5x = 85
x = 85 ÷ 5
x = 17
David (2x) = 2 × £17
= £34
Egil (7x) = 7 × £17
= £119
Frances (9x) = 9 × £17
= £153
Two cylindrical science beakers are similar. The smaller beaker has a radius of 2 centimeters and a height of 4 centimeters. Its volume is
about 50 cm. The larger beaker has a height of about 16 centimeters.
Approximately what is the volume of the larger beaker?
A. 3,200 cm
OB. 1,600 cm
OC. 800 cm
OD. 200 cm
Answer:
itsa 1200 B
Step-by-step explanation:
Subtract.
- 7 - 12 =
Answer:
-19 is the correct answer
Which of the following statements best explains the data collected by the student shown in the above table?
Answer:
i think its j
Step-by-step explanation:
TIMED PLEASE HURRY WILL MARK BRAINLIEST
In the world’s coldest freezer, sodium gas was cooled to a temperature of 78.5°C below zero and then cooled 194.65°C more. What was the new temperature of the sodium gas? –273.15°C –272.7°C –202.5°C –116.15°C
Answer:
The answer is A) –273.15°C, good luck!
Answer:
its a
Step-by-step explanation:
A holiday tree is 4 feet 8 inches tall. There are 2.54 centimeters in one inch. What is the tree’s height in centimeters?
Answer:
The tree's height is 142.24 cm.
Step-by-step explanation:
There are 12 inches in a foot. This means that 4 feet equal 4 * 12 = 48 inches. Since there are 8 more inches, you add 8 to 48. The sum is 56. There are 56 inches in 4 feet and 8 inches.
Now, to convert:
56 * 2.54 = 142.24 (inches to centimeters)
The tree's height is 142.24 cm.
The expression s2 is used
to calculate the area of a
square, where s is the side
length of the square. What
does the expression (8x)2
represent? The area of a
square with side length __.
A. 8 C. 4x
B. 16 D. 8x
Answer:
expression 4x the area is 16
Step-by-step explanation:
coz the expression one must devide (8x)2 to get 4x and to find the area one must multiplely 4x*4 to get 16
The solution is Option D.
The expression ( 8x )² represents the area of a square with side length 8x
What is the area of a square?
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let a be the side of the square
Area of the square = a²
Let the expression be A
Now , the value of A is given by
The value of A = s²
where s is the side length of the square
Now , let the expression be B
where the value of B is given as
The value of B = ( 8x )²
Now , 8x will be the side length of the square with ( 8x )² as its area
Therefore , the side length of the square is 8x
Hence , The expression ( 8x )² represents the area of a square with side length 8x
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Please help I will mark brainliest
While riding in the car on the highway, Jason notices a sign that says the exit is one mile away and begins counting seconds
It took 60 seconds to get to the exit from that sign. How fast is in mph, is the car going?
11) There are 5 grams of sugar in one 1⁄2 cup serving of Stephanie’s cereal. Write an equation to express how many grams of sugar are in 3 cups of cereal.
Answer:
60 mph
Step-by-step explanation:
1 min to go 1 mile, 60 minutes per hour, 60 x 1=60
What are some of the characteristics of exponential growth and exponential decay functions?
These are the characteristics of the exponential growth and exponential decay functions
Properties of Exponential Growth Functions
The function is an increasing function; y will increase as x will increase. Range: If a>0, the range is {positive real numbers} The graph is continually above the x axis. Horizontal Asymptote: when b>1, the horizontal asymptote is the negative x axis, as x will become huge negative.
Properties of Exponential Decay Functions
The feature y=f(x) function represents decay if k < 0. The function is a reducing function; y decreases as x will increase. Range: If a>0, the range is {positive real numbers } The graph is always above the x axis.
Therefore, these are the characteristics of the exponential growth and exponential decay functions
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Solve.
³+y+z
3x-2y+22-2
−2x−y+3z − −4
Enter your answer, in the form (z,y,2).
6
Answer:
(2, -6, 1)
Step-by-step explanation:
Multiplying the first equation by 2 yields 4x+2y-2z = -6.
Adding this to the second equation, we get 9x=18, and thus x=2.
From the third equation, we know z=1.
From the first equation, it follows that y = -6.
Subtract (-2x² +3x-5) from( 6x2 -4x+2)
Answer:
8x² - 7x + 7
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(6x² - 4x + 2) - (-2x² + 3x - 5)
Step 2: Simplify
Distribute negative: 6x² - 4x + 2 + 2x² - 3x + 5Combine like terms (x²): 8x² - 4x + 2 - 3x + 5Combine like terms (x): 8x² - 7x + 2 + 5Combine like terms (Z): 8x² - 7x + 7In a three digit number, the tens digit is equal to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits are reversed, the new number is 11 less than half the original number. Find the original number.
572
Olive Boi is funny, he answered 123 l m f a o
Answer:
572
Step-by-step explanation:
Tens is T, Hundreds is H, and Units is U.
T=H+U
H=U+3
HTU÷2-11=UTH
From this point, I just started guessing. Sorry.
2(3 - 8y) =
What is the anwser:
Answer:
2(3 -8y)
6 - 16y
i can't go any further
There are 7 circles and 5 triangles. What is the ratio of triangles to all shapes o 5 to 12 o 12 to 5 O 7 to 5 05 to 7
Answer:
please help help me me my question solve
the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class
Answer: 15 boys and 10 girls
Step-by-step explanation:
15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.
Answer:
25
Step-by-step explanation:
3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)
15+10=25 total boys and girls
two integers, a and b, have different signs. the absolute value of inter a is divisible by the absolute value of integer b. Find two integers that fit this description. Then decide if the product of the integers is greater than or less than the quotient of the integers.
Two numbers that meet the condition are a = -10 and b = 2, and the quotient between these is larger than the product.
How to find two integers that fit the description?
We have two numbers a and b with different sign.
Let's say that a is negative and b positive.
We know that the absolute value of a is divisible by the absolute value of b.
|a|/|b|
Then we have that |a| ≥ |b|
An example of two numbers that meet these conditions are:
a = -10
b = 2
Where:
|-10|/|2| = 10/2 = 5
Now, the product between the integers will give a large negative number, in this case:
-10*2 = 20
and the quotient will give a smaller, in absolute value, negative number:
-10/2 = -5
Then we can see that the quotient is larger (as both are negative numbers, and the quotient is closer to zero).
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This diagram shows a convex polygon.
What is the value of a?
*Picture Attached*
Answer:
216?
Step-by-step explanation:
VERY URGENT !Gloria texts 18 words in the same
amount of time it takes Erica to text
25. Assuming the relationship is
proportional, if Erica texted 500 words,
how many did Gloria text?
Answer:
Gloria would text 360 words if Erica texted 500 words.
Step-by-step explanation:
Let 'y' be the number of words Gloria texts
Let 'x' be the number of words Erica texts
Given that the relationship is proportional
y ∝ x
y = kx
where 'k' is called the constant of proportionality
Given
y = 18x = 25substituting the values to determine the constant of proportionality 'k'
k = y / x
= 18 / 25
Thus, the constant of proportionality = k = 18/25
When Erica texted 500 words, we need to determine the number of words Gloria will text.
so
k = 500
y = ?
k = y / x
y = kx
= 18 / 25 × 500
= 360 words
Thus, Gloria would text 360 words if Erica texted 500 words.
Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.
Answer:
7+3n=28 and the answer would be n=7
Step-by-step explanation:
7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.
Solving Equations
If an elephant travels for 4 hours at
6.5 mph and a giraffe travels for 2
hours at ll mph, who covers more
distance?
E. elephant
F. giraffe
G. They travel the same distance.
H. cannot be determined based on the
information provided
Q2
slope = 1/2, through: (3, 1)
Answer:
m=0
Step-by-step explanation:
Anyone know the answer ?
Answer:
The area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
Step-by-step explanation:
Given
height or length = l = 6x³width = w = 3x³+8x²+xWe know that Area of the rectangle
A=wl
= (3x³+8x²+x) × (6x³)
[tex]=\left(6x^3\right)\times \:3x^3+\left(6x^3\right)\times \:8x^2+\left(6x^3\right)x[/tex]
[tex]=3x^3\left(6x^3\right)+8x^2\left(6x^3\right)+x\left(6x^3\right)[/tex]
[tex]=18x^6+48x^5+6x^4[/tex]
Thus, the area of the rectangle will be:
[tex]A=18x^6+48x^5+6x^4[/tex]
What is a 68.2 as a grade
Answer:
Depending on how they grade..... a D or a C-
Step-by-step explanation:
please help!
select all that apply
help please look at the image below.
Answer:
other 15/32
Step-by-step explanation:
Credit Hackmath.com
Answer:
other: 15/32
Step-by-step explanation:
5/8 * 3/4 = 0.46875 and thats 15/32 in fraction form
( 7.9 ) + 4.2 x ( 6.5 - 5.7 )
Answer:
11.26
Step-by-step explanation:
6.5 - 5.7 = 0.8Plug 0.8 in: (7.9) + 4.2 × (0.8)4.2 × 0.8 = 3.36Plug 3.36 in: 7.9 + 3.367.9 + 3.36 = 11.26I hope this helps!
On the coordinate plane, the segment from X(–
2,2) to Y(8,2) forms one side of △XYZ. The triangle has an area of 20 square units. Select all of the points where Z could be
0,6; 8,6; 4,2; 7,-2
The coordinates of Z will be Z(8,6) and Z(4,2)
The formula for the area of triangle is given as :
A = 1/2 * b * h
where , b = base
h = height
We have been a ΔXYZ with coordinates of
X(-2,2) and Y(8,2)
Also the given area is 20 sq. units
We need to find the coordinates of Z from the given question.
First we will find the length of XY which is
XY = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2}- y_{1}) ^{2} } \\[/tex]
= √(8+2)² + (2-2)²
= √100
= 10 units
Let z= (0,6)
distance of YZ = √(0-8)² + (6-2)²
= √64+ 16
= √80
Area = 1/2 * 10* 4√5 = 20√5 ≠ 20
Let Z = (8,6)
distance of YZ = √(8-8)² + (6-2)²
= √16
= 4
Area = 1/2 * 10* 4 = 20
let Z = (4,2)
distance of YZ = √(4-8)² + (2-2)²
= √16
= 4
Area = 1/2 * 10* 4= 20
Let Z = (7,-2)
distance of YZ = √(7-8)² + (-2-2)²
= √1 + 16
= √17
Area = 1/2 * 10* √17 = 5√17 ≠ 20
Hence the coordinates of Z will be Z(8,6) and Z(4,2) as putting these value we get area equal to 20 square units.
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