Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.
during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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which number represents 778, 332 rounded to the nearest thousand
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
7
A chord of a circle is 18 cm long. It is
6.3 cm from the centre of the circle
Calculate the radius of the circle to the
nearest whole number. step by step show the calculation
Answer:
11 cm
Step-by-step explanation:
r² = 9² + 6.3²
r² = 120.69
r = 10.9859000542
Rounded
r = 11 cm
Answer:
\(\rm 10.9 cm \)
Step-by-step explanation:
Given that :-
A chord of a circle is 18 cm long. It is 6.3 cm from the centre of the circle.And we need to find out the radius of the circle.
\(\text{ Theorem :-}\)
Perpendicular from the centre of circle , to the chord , bisects the chord .Using Pythagoras Theorem :-
\(\implies \rm OA^2= AB^2+OB^2\\\\\rm\implies OA^2= (6.3 cm)^3+(9cm)^2\\\\\rm\implies OA^2=
120.69 \\\\\implies\boxed{\rm OA = 10.9 cm }\)
Hence the radius is 10.9 cm
Sarah currently earns $18.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 20% raise. How much will she earn each hour after the raise?
Answer:
21.6 $ / h
Step-by-step explanation:
Since it is a raise you'll calculate by multiplying the $ / h by (1 + % / 100)
In this case 1 + % / 100 = 1 + 20 / 100 = 1 + 0.20 = 1.20
1.20 * 18 = 21.6 $ / h
NB.:
If it was a decrease by 20 % => 1 - 20 / 100 = 1 - 0.20 = 0.80
You would multiply the $ by 0.80.
A density graph for all the possible speeds between 0 mph and 160 mph is in
the shape of a triangle. What is the height of the triangle?
A. 0.00625
B. 0.025
C. 0.0125
D. 0.003125
Answer: .0125
Step-by-step explanation:
Answer the question with an algebraic expression.
The perimeter of a square is m meters. How long, in centimeters, is each side of the square?
The length of the square in centimetres in algebraic expression is 25m
How to find the side length of a square?The perimeter of a square is m meters.
The length of the each side of the square in centimetres can be represented in an algebraic expression as follows:
Therefore,
perimeter of a square = 4l
where
l = side lengthTherefore,
m = 4l
where
m = perimeter of the squarel = m / 4 meters.
Therefore, the side length of the square in centimetres is as follows:
1 meters = 100 cm
m / 4 meters = ?
cross multiply
length of the square in meters = m / 4 × 100
length of the square in meters = 100m / 4
length of the square in meters = 25m
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if i earn 165 dollars in 20 hours how many would i make in 40 hourr
Answer:
330
Step-by-step explanation:
165 times 2 equals 312. This is because you're doubling the amount of money and hours.
The state in which Ann Ausburn lives charges a registration fee of $37.50 for the first 1,400 lbs. and $.45 for every 100 lbs or fraction of 100 lbs. above 1,400 lbs. If Ann's carweighs 3,324 lbs, what is the registration fee?$42,65$45.85$46.50$47.05None of these choices are correct.
SOLUTION;
The first 1,400 lbs is $37.50, then $0.45 for every 100 lbs or fraction of 100
For a car that weighs 3,324 lbs,
Ann pays $37.50 for the first 1,400 remaining (3,324 - 1,400) = 1924
For every 100 lbs she pays $0.45
\(\begin{gathered} \frac{1924}{100}\text{ = 19.24} \\ 19\text{ X 0.45 = \$8.55} \end{gathered}\)Since she is to pay $0.45 for a fraction of 100 and she has 24 or 0.24 left, so she is expected to pay $0.45
In conclusion, Ann is expected to pay a registration fee of $37.50 + $8.55 + $0.45 = $46.50 (The third option)
Compare the function g(x) = 3/x-2 +5 to the parent function f(x)= 1/x please describe how the function has been transformed from the parent function.
The function g(x) = 3/(x-2) + 5 is a transformation of the parent function f(x) = 1/x with a horizontal shift of 2 units to the right, a vertical stretch by a factor of 3, and a vertical shift of 5 units up.
What is the transformation of the functionThe function g(x) = 3/(x-2) + 5 is a transformation of the parent function f(x) = 1/x.
Here are the transformations that were applied to f(x) to obtain g(x):
1. Horizontal shift: The denominator of f(x) is x, which means that the vertical asymptote is at x = 0. By subtracting 2 from x in the denominator of g(x), we are shifting the vertical asymptote to x = 2. This is a horizontal shift of 2 units to the right.
2. Vertical stretch: The coefficient 3 in front of the fraction means that the function is stretched vertically by a factor of 3 compared to f(x). This means that the distance between the horizontal asymptotes (which are at y = 0 for f(x) and y = 5 for g(x)) is three times larger for g(x) than for f(x).
3. Vertical shift: The constant 5 added to the fraction means that the entire function is shifted vertically by 5 units compared to f(x). This means that the horizontal asymptote of g(x) is at y = 5 instead of y = 0.
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What is the volume of the cone to the nearest cubic millimeter (use pi)
Use clustering estimation to find the approximate total in the following question.
What is the estimated total of 674, 692, 724, and 739?
ill make you brainliest
The estimated total of 674, 692, 724, and 739 is: 2800.
Clustering estimation techniqueTo find the sum using clustering estimation technique first step is to round each number to the nearest 10s.
674 into 670
692 into 690
724 into 720
739 into 740
Second step is to add
Addition=670+690+720+740
Addition=2820
2820 to the nearest 100s is 2800.
Therefore the estimated total of 674, 692, 724, and 739 is: 2800.
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Camilla is 54 inches tall. She grows 2 inches per year. Write an expression to represent Camilla’s height after n years. What is one assumption that needs to be made to find n=20? Is this assumption reasonable for this situation?
An expression to represent Camilla’s height after n years is 94 years.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. We cannot solve expressions because they lack the "equal to" symbol (=). Using the provided mathematical operators, we can only reduce expressions and discover their reduced form. In mathematics, a statement made up of terms and operations is referred to as an expression. The words could be variables with coefficients or constants (numbers). The operations could be multiplication, division, addition, or subtraction.
Given
Camilla is 54 inches tall. She grows 2 inches per year.
Expression
54 + 2n
n = 20
54 + 2(20)
54 + 40
94
An expression to represent Camilla’s height after n years is 94 years.
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On their farm, Adam’s family maintains a storage that can hold 19.9 cubic yards (yd3) of grain. Use the fact that 1 yard is approximately equal to 0.9144 m to convert this volume to m3
19.9 cubic yards converted to cubic meters is 15.21 m³.
How do you convert to cubic meters?The volume of the storage is the amount of space inside it. Large volumes are measured in cubic metres.
Given this unit of conversion: 1 yard = 0.9144 m
To convert to cubic meters, find the cube: 0.9144³ = 0.764555
Now, multiply 0.764555 by 19.9 : 0.764555 x 19.9 = 15.21 m³
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NO LINKS!!! URGENT HELP PLEASE!!!
Solve ΔABC using the Law of Sines
1. A = 29°, C = 63°, c = 24
2. A = 72°, B= 35°, c = 21
Answer:
1) B = 88°, a = 13.1, b = 26.9
2) C = 73°, a = 20.9, b = 12.6
Step-by-step explanation:
To solve for the remaining sides and angles of the triangle, given two sides and an adjacent angle, use the Law of Sines formula:
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
Question 1Given values:
A = 29°C = 63°c = 24As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies B=180^{\circ}-A-C\)
\(\implies B=180^{\circ}-29^{\circ}-63^{\circ}\)
\(\implies B=88^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 29^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies a=\dfrac{24\sin 29^{\circ}}{\sin 63^{\circ}}\)
\(\implies a=13.0876493...\)
\(\implies a=13.1\)
Solve for b:
\(\implies \dfrac{b}{\sin 88^{\circ}}=\dfrac{24}{\sin 63^{\circ}}\)
\(\implies b=\dfrac{24\sin 88^{\circ}}{\sin 63^{\circ}}\)
\(\implies b=26.9194211...\)
\(\implies b=26.9\)
\(\hrulefill\)
Question 2Given values:
A = 72°B = 35°c = 21As the interior angles of a triangle sum to 180°:
\(\implies A+B+C=180^{\circ}\)
\(\implies C=180^{\circ}-A-B\)
\(\implies C=180^{\circ}-72^{\circ}-35^{\circ}\)
\(\implies C=73^{\circ}\)
Substitute the values of A, B, C and c into the Law of Sines formula and solve for sides a and b:
\(\implies \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
Solve for a:
\(\implies \dfrac{a}{\sin 72^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies a=\dfrac{21\sin 72^{\circ}}{\sin 73^{\circ}}\)
\(\implies a=20.8847511...\)
\(\implies a=20.9\)
Solve for b:
\(\implies \dfrac{b}{\sin 35^{\circ}}=\dfrac{21}{\sin 73^{\circ}}\)
\(\implies b=\dfrac{21\sin 35^{\circ}}{\sin 73^{\circ}}\)
\(\implies b=12.5954671...\)
\(\implies b=12.6\)
Need help asp pleaseeeeeeee
Answer:
x=4
Step-by-step explanation:
You can use the app photo math, thats what I did you just take a pic of the problem and it shows you the steps and answer
pls help ............ explain
Answer:
Step-by-step explanation:
solve for a.
please answer i will rank what ever you want. thank you.
After solving for side a, we have come to know that a = 2.2. Thus, option A is correct.
What is law of cosines?The law of cosines is a trigonometrical rule that links the lengths of a triangle's sides to the cosines of one of its angles, whether the triangle is spherical or flat. When two sides and the angle between them are known, it can be used to determine the length of a side or the angle of a triangular. There are two versions of the law of cosines: one for spherical triangles and one for planar triangles.
We can use the Law of Cosines to solve for the length of BC (denoted by a) in triangle ABC, since we know two sides and the included angle.
\(\rm a=\sqrt{c^{2}+b^{2}-2 c b \cdot \cos A}\)
\(\rm a=\sqrt{4^{2}+3^{2}-2(4)(3) \cdot \cos(32^{\circ})}\)
\(\rm a=\sqrt{16+9-24\cdot \cos(32^{\circ})}\)
\(\rm a=\sqrt{1 \cdot \cos(32^{\circ})}\)
a = 2.155654
a ≈ 2.2
Thus, After solving for side a, we have come to know that a = 2.2. Thus, option A is correct.
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Suppose that you borrow $13,000 for 5 years at 7% toward the purchase of a car.
The monthly payment is $
The total interest for the loan is $
The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.
To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time
In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.
So,
Interest = $13,000 x 0.07 x 5
Interest = $4,550
It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.
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Determine the x and y-intercept for -3x + 2y = 12 PLEASEEEE HELPP THANK U
To find the x-intercept, let y = 0.
You get 4x-0=12
x = 3
x-intercept is (3,0)
----------------------------
To find the y-intercept, let x = 0.
You get 0-2y=12
y = -6
y-intercept is (0,-6)
Use the figure to find the missing angles
Answer:
Angel 5 is 73
Angel 1 is 37
Angel 2 is 42
Angel 3 is 132
Angel 4 is 73
Angel 6 is 30
Step-by-step explanation:
the bookstore sold 8 books for 66$ at that rate how much would one book be.
HELP
Solve the following problem and show all work: Mike is in the Navy. He wants to buy a new PS5 gaming bundle. Wal-Mart sells it for $729 plus 8% sales tax, while the NEX Navy Exchange store on base sells it for $775 with no sales tax. Which place has the better buy? How much money does Mike save by purchasing the PS5 at the cheaper location?
NEX Navy Exchange store is better place to buy. Mike save $12.32 by purchasing the PS5 at the cheaper location.
Define cost.A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.
Given
Mike is in the Navy. He wants to buy a new PS5 gaming bundle.
Wal-Mart sells it for $729 plus 8% sales tax
Basic price = $729
Sales tax = 8%
Cost = $729+ 8%
Cost = 787.32
The NEX Navy Exchange store on base sells it for $775 with no sales tax.
Cost = $775
NEX Navy Exchange store is better place to buy. Mike save $12.32 by purchasing the PS5 at the cheaper location.
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Clarence walks 3.1 miles around Lake Johnson every day for five days.
If it takes him a total of 6 hours to walk the 15.5 miles, what is his
average time per day?
minutes per day.
Answer:
Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day
Step-by-step explanation:
To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.
Let's calculate his average time per day:
Average time per day = Total time / Number of days
Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:
Average time per day = 6 hours / 5
Average time per day = 1.2 hours per day
To convert hours to minutes, we'll multiply the average time per day by 60:
Average time per day = 1.2 hours * 60 minutes
Average time per day = 72 minutes per day
Therefore, Clarence's average time per day is 72 minutes.
Thirteen more than the quotient of twenty and four
Answer:
19
Step-by-step explanation:
20/4 + 13
20/4 = 6
6+13 = 19
Answer:
The equation is 13 + \(\frac{20}{4}\) or 13 + (20 ÷ 4)
The answer is 13 + 5 = 18
How many roots does the equation (8/(x^2 - 16) )+ 1 = 1/(x -4) have?
Plz show ALL STEPS
Answer:
Step-by-step explanation:
Which equation has exactly one solution?
7
x
=
7
7 x is equal to 7
7
x
=
7
x
7 x is equal to 7 x
x
+
1
=
x
+
1
x plus 1 is equal to x plus 1
x
+
1
=
x
+
2
Step-by-step explanation:
The correct option is first option
7x = 7
Hope it will help :)
Step-by-step explanation:
1st one is your answer look it once
help pls . ..........
Answer:
you cant
Step-by-step explanation:
Three friends play a game. Jamila has 4-1/2
more points than Carter. Carter has 7 1/2 more
points than Aisha. Jamila has 26 points. Write
and solve an equation to find the number of
points Aisha has. Show your work.
The equation is written as
x + 11 = 26Aisha has 15 points
How to write the equationLet's use the given information to set up an equation to represent the relationship between the points each friend has.
Let x be the number of points Aisha has.
Then, according to the problem statement, we know that:
Carter has 7 1/2 more points than Aisha, so he has
x + 7 1/2 points.
Jamila has 4 - 1/2 more points than Carter, so she has
x + 7 1/2 + 4 - 1/2 points,
which simplifies to x + 11 points.
Jamila has 26 points, so we can set x + 11 equal to 26 and solve for x:
x + 11 = 26
x = 26 - 11
x = 15
Therefore, Aisha has 15 points.
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need help writing a function
n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.
What is a linear equation in mathematics?
A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.
A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.
Roots : -3(mult . 2), 4(mult.2)
the function is given as
f(n) = (n + 3)² (n - 4)²
= (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)
= (n² + 6n + 9) (n² - 8n + 16 )
= n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1
collecting like term,
f(n) = n⁴ - 2n³ - 23n² + 24n + 144
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