SOLUTION
Given the question in the question tab, the following are the solution steps to get the number of guppies that are in each f
Write an
equation given the following: m = 1, y-int = 2 *
2) m=0 y-int = 2
3) m=-1 y-int = 8
4) m= 5 y-int =0
What is the frequency of yellow
light with E= 3.4 x 10-19 J?
h=6.626 x 10-34 J. S
x 10²¹ Hz
[?] x 10⁰
Answer:
5.131 × 10¹⁴ Hz
Step-by-step explanation:
Planck relation
\(\large\boxed{E = hf}\)
where:
E = Energy of the photon (J).h = Planck's constant (J · s).f = frequency of light produced (Hz).Given values:
E = 3.4 × 10⁻¹⁹ Jh = 6.626 × 10⁻³⁴ J · sSubstitute the given values into the formula and solve for f:
\(\implies 3.4 \times 10^{-19}=(6.626 \times 10^{-34})f\)
\(\implies f=\dfrac{3.4 \times 10^{-19}}{6.626 \times 10^{-34}}\)
\(\implies f=\dfrac{3.4}{6.626} \times \dfrac{10^{-19}}{10^{-34}}\)
\(\implies f=0.5131\times 10^{(-19-(-34))}\)
\(\implies f=0.5131 \times 10^{15}\)
\(\implies f=5.131 \times 10^{14}\)
Paul is training for a bike race and is attempting to improve his average speed. With his old trainer, Paul averaged a pace of 20 MPH. With his new trainer, he rode at an average speed of 27 MPH. By what percent did his average speed increase?
Answer:
5.4%
Hope This Helps!
2. Mrs.Kaushik has a square plot with the measurement as shown in the figure. She wants to construct a house in the middle of the plot. A garden is developed around the house. Find the total cost of developing a garden around the house at the rate of Rs. 55 per m^2.
Answer:
Hence the total cost of developing a garden is around Rs. 17,875.
Step-by-step explanation:
Side of the square plot = 25 m
Formula: Area of the square plot = square of the side = (side)2
= (25)2 = 625
Therefore the area of the square plot is 625 m2
Length of the house = 20 m and
The breadth of the house = 15 m
Area of the house = length×breadth
= 20×15 = 300 m2
Area of the garden = Area of the square plot – Area of the house
= 625–300 = 325 m2
∵ The cost of developing the garden per sq. m is Rs. 55
The cost of developing the garden 325 sq. m = Rs. 55×325
= Rs. 17,875
Hence the total cost of developing a garden is around Rs. 17,875.
Can anyone please explain? Need some help :)
A regular hexagon is inscribed in a circle with a diameter of 12 units. Find the area of the hexagon. Round your answer to the nearest tenth. (there's no picture included)
Answer:
93.5 square units
Step-by-step explanation:
Diameter of the Circle = 12 Units
Therefore:
Radius of the Circle = 12/2 =6 Units
Since the hexagon is regular, it consists of 6 equilateral triangles of side length 6 units.
Area of the Hexagon = 6 X Area of one equilateral triangle
Area of an equilateral triangle of side length s = \(\dfrac{\sqrt{3} }{4}s^2\)
Side Length, s=6 Units
\(\text{Therefore, the area of one equilateral triangle =}\dfrac{\sqrt{3} }{4}\times 6^2\\\\=9\sqrt{3} $ square units\)
Area of the Hexagon
\(= 6 X 9\sqrt{3} \\=93.5$ square units (to the nearest tenth)\)
if the relation represents a function, find the domain and range. (enter your answers using interval notation. if the relation is not a function, enter none in the domain and range answer blanks.)
If the relation is represented by the equation y = 2x + 1, the domain would be all real numbers (-infinity, +infinity) and the range would be all real numbers greater than or equal to 1 (1, +infinity).
A relation is a function if for every input (x) there is exactly one output (y). To determine if a relation is a function, we can use the vertical line test, which states that if a vertical line can be drawn through the graph and intersects the relation more than once, then the relation is not a function.
If the relation is a function, we can find the domain and range by analyzing the relation. The domain is the set of all x-values and the range is the set of all y-values. In interval notation, the domain is written as (a, b) and the range is written as (c, d).
So, the domain and range answers depend on the relation which is given and it should be specified.
Read more about Functions:
https://brainly.com/question/22340031
#SPJ4
Use the distributive property to simplify each expression
(7+6w)6
Answer:
42+ 36w
Step-by-step explanation:
You multiple all numbers in the parenthesis with the number directly outside of it. 6x6=36(w) and 7x6=42. You cant simplify any further.
Factor Completely.
6x^3 - 9x^2 + 24x – 36
3 (2x -3) (x^2 +4)
your welcome
Let w represent your gross pay for a typical two week period at your job. Write a function that represents your gross pay in a typical (four week) month at your job. Call this function H.
The required function is : H = 2w.
What is the unitary method of problem solving?
In its simplest form, the unitary procedure is used to determine the value of a single unit from a given multiple. How to calculate the worth of one pen, for example, if 40 pens cost $400. To finish it, using the unitary method. Additionally, after the value of a single unit has been established, we can multiply that value by the quantity of additional units required to establish the value of the additional units. This is typically how the concepts of ratio and proportion are used.
Given, the gross pay for two week = w
The gross pay for one week = w/2
The gross pay for the month = 4*(w/2) = 2w
The function thus derived is : H = 2w
To learn more about unitary method of problem solving, tap below:
https://brainly.com/question/28455000
#SPJ9
Y=8x+9
Give slope(m)
Parallel slope
Perpendicular slope
Answer:
the slope is 8
Step-by-step explanation:
the slope is x not sure if its parallel of perpendicular but is i had to gues id guess parallel
Answer:
the slope is 8
the parallel slope is 8
the perpendicular slope is -1/8
Consider the equation: f (x) = 4/x-3+2. Please explain where the vertical asymptote would be algebraically and graphically. Why are asymptotes important when explaining the graph of a rational function? What are the horizontal and vertical shifts from this function compared to the parent function, and how do you know?
A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.
What is meant by rational function?Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.
Here,
Given :f (x) = 4/x-3+2.
=> vertical asymptotes :
=> 4/x
and
horizontal asymptotes :
=> -1
The rational function is (x/y)where y≠ 0
So,
x≠0.
can be a rational function for them.
Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.
To learn more about asymptotes refers to;
brainly.com/question/28003042
#SPJ1
The perimeter of a rectangle is 370 m. The length of the rectangle is 65 m. How wide
is the rectangle?
Answer:
120
Step-by-step explanation:
370m - (65 x 2) = 240
240 divided by 2 = 120
A college administrator predicts that the proportion of students that are nursing majors is greater than 40%. To test this, a group of 400 students are randomly selected and it's determined that 190 are nursing majors. The following is the setup for this hypothesis test:
H0:p=0.40
Ha:p>0.40
In this example, the p-value was determined to be 0.001. Find the conclusion and interpret the results for this hypothesis test for a proportion (use a significance level of 5%)
Answer:
Step-by-step explanation:
Using the following data:
H0:p=0.40 (null hypothesis)
Ha:p>0.40 (alternative hypothesis)
The p-value was determined to be 0.001.
a significance level of 5%
Since the p value (0.001) is less than the significance level (0.05), we will reject the null hypothesis and then we would conclude that the proportion of students that are nursing majors is greater than 0.4.
Answer:
p value= 0.131
Step-by-step explanation:
Since we have calculated the test statistic, we can now proceed to find the p-value for this hypothesis test.Using the test statistic and since the hypothesis test is a left tailed test, the p-value will then be the area under the standard normal curve to the left of the test statistic of -1.12.Using the Standard Normal table given above, the area under the standard normal curve to the left of the test statistic of -1.12 is 0.131 (rounded to 3 decimal places.Thus the p-value = 0.131.
How would you describe the relationship between the real zero(s) and x-intercept(s) of the function
f(x) =
3x(x - 1)
x2(x+3)(x + 1)
When you set the function equal to zero, the solution is x = 1; therefore, the graph has an x-intercept of (1,0).
O When you set the function equal to zero, the solutions are x = 0 or x = 1; therefore, the graph has x-intercepts at
(0, 0) and (1,0).
O When you substitute x = 0 into the function, there is no solution, therefore, the graph will not have any X-
intercepts.
Since there are asymptotes at x = -3, x = -1, and x = 0, the graph has no x-intercepts and therefore, no real
zeros.
The description of the relationship between the real zero(s) and x-intercept(s) of the function should be option A.
Relationship between the real zero(s) and x-intercept(s) of the function:Since it is given that
f(x) = 3x(x - 1)
x2(x+3)(x + 1)
Also, the function should be set out and equivalent to zero when x = 1
and, the graph should have an x-intercept of (1,0).
Therefore, the option A is correct.
learn more about function here: https://brainly.com/question/19995674
Answer:
AAAAAAAAAAAAAAAAAAAAAAAAAAAA
Step-by-step explanation:
Consider the following function:
f(3) = log2(x + 3)
Which interval has the smallest average rate of change in the given function?
O (0,2
O 4,6]
O [2,4
O (6,8)
In the function f(x) = log2(x + 3)), the smallest average rate of change in the function is in the interval, (6,8)
What is a logarithmic function ?The logarithmic function is an expression which we can write as, y = logₐx, where a>0 & x>0, It is the inverse of exponential function.
Formulae for logarithmic function are,
LogAB = LogA + LogB
Logₐaᵇ = b
Given that,
A logarithmic function,
f(x) = = log2(x + 3)
Rate of change = Change in values of function/change in x
= [F(b) - F(a)]/ b-a
For the interval, (0, 2)
f(0) = Log2(0 + 3) = Log(6)
f(2) = Log2(2 + 3) = Log(10)
Rate of change = Log(10) - Log(6) /2
= 0.11
Similarly, for the intervals, (4, 6), (2, 4), (6,8)
Hence, the smallest average rate is for the interval, (6, 8)
To know more about Logarithmic function check:
https://brainly.com/question/27389970
#SPJ1
Evaluate. (5/6+2/3)−(3/4+1/12) Enter your answer as a fraction in simplest form by filling in the boxes. $$
The evaluation of the fraction (5/6 + 2/3) - (3/4 + 1/12) in its simplest form is 2/3
How to evaluate fractions?A fraction is a number which consists of a numerator and a denominator.
A numerator is the upper or top value of a fraction while a denominator is the lower or bottom value of a fraction.
(5/6 + 2/3) - (3/4 + 1/12)
= (5+4)/ 6 - (9+1) / 12
= 9/6 - 10/12
= 3/2 - 5/6
= (9-5) / 6
= 4/6
= 2/3
Consequently, the answer to the given fraction in its simplest form is 2/3
Read more on fraction:
https://brainly.com/question/11562149
#SPJ1
divide g by 9, then triple the result
Answer:
nose que dice no hablo inglesh :v
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?
Chay can use 3 bags of mulch per flower bed.
Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.
For more such questions on flower
https://brainly.com/question/30256774
#SPJ8
A women has $500 in a bank account. Every week, she writes a check for $50. If she doesn’t make any new deposits, what will her bank account hold x weeks from now?
Answer:
$500-$50x
Step-by-step explanation:
Darnell has 25 forks and 30 knives to place in silverware holders at the fast food restaurant where he works. He wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Darnell can stock?
The greatest number of silverware holders Darnell can stock is 11 holders.
In algebra, an algebraic expression is composed of integer constants, variables, and the basic arithmetic operations of addition (+), subtraction (-), multiplication (), and division (/). An algebraic expression is 2x + 4. 5 and 6 are constants.
Given Darnell has 25 forks and 30 knives to place in silverware holders at the fast food restaurant where he works. He wishes to distribute them evenly, with no forks or knives remaining.
We have to determine the greatest number of silverware holders Darnell can stock
We can put 5 of each type of silverware in each holder
25 forks uses 5 holders
30 knives uses 6 holders
= 5+6
=11
Therefore the greatest number of silverware holders Darnell can stock is 11 holders
To learn more about algebra visit
https://brainly.com/question/6581270
#SPJ9
Ana estimated the mass of an object to be 54 grams. The actual mass of the object was 45 grams. What was the percent error in Ana’s estimate.
Answer:
20%
Step-by-step explanation:
percent error = (estimated value - real value)/(real value) × 100%
percent error = (54 - 45)/(45) × 100%
percent error = 0.2 × 100%
percent error = 20%
Every month Tanesha pays a fixed fee of $10 to use the parking lot at her workplace. She must also pays $2 each day that she parks her car in the lot. If she parks there x days in one month, which of the following represents the amount in dollars that she must pay for using the parking lot that month?
The equation that represents the amount in dollars that she must pay for using the parking lot that month is y = 2x +10, the correct option is B.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The equations are of various types, such as Trigonometric equations, quadratic equations.
The amount Tanesha pays to use the parking lot is $10
The daily amount she pays to use the parking is $2
Let x represents the days in one month.
Let y represents the amount in dollars that she must pay for using the parking lot that month.
The unknown parameters are x and y
The equation that can be formed is
y = 2x +10
It seems that your question is incomplete, the complete question is as follows:
A . y = 2x
B. y = 2x +10
C. y = 10x +2
D. y = 10x
To know more about Equation
https://brainly.com/question/10413253
#SPJ5
can some one please write the answers on the pdf
Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each answer, enter an ordered pair of the form x, y.) x = 1 + sin(t), y = 6 + 2 cos(t), π/2 ≤ t ≤ 2π The motion of the particle takes place on an ellipse centered at (x, y) = 1,6 . As t goes from π/2 to 2π, the particle starts at the point (x, y) = 1,6 and moves clockwise three-fourths of the way around the ellipse to (x, y) = .
Two foci of the ellipse are ( 2 - √3) and moves clockwise three fourth is ( 2 + √3).
As given in the question,
Given equations are :
x = 1 + sin(t)
⇒ sin(t) = (x - 1)
y = 6 + 2cos(t)
⇒cos(t) = (y - 6)/2
We know that,
sin²t + cos²t = 1
Substitute the value of sin(t) and cos(t) we get,
(x - 1)²/ 1² + (y - 6)²/ 2² = 1
Standard Equation of the ellipse is:
( x -h)²/b² + (y - k)²/a² = 1
Center of the ellipse = (h , k)
(h , k) = (1, 6)
here b = 1 and a = 2
'c' is the distance from focus to the center
c = √a² - b²
= √4 -1
= √3
Therefore , two foci for the given ellipse are ( 2 - √3) and moves clockwise three fourth is ( 2 + √3).
Learn more about ellipse here
brainly.com/question/14281133
#SPJ4
QUESTION 5
A basketball player scores 126 points in 7 games. At this rate how many points will he score in a 32 game season?
I am struggling to find domain and range please help thank you
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
Learn more about diameter here:
https://brainly.com/question/28162977
#SPJ1
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
learn more on triangle here:https://brainly.com/question/29191745
#SPJ1
Identify the parts of the expression and write a word expression for the numerical or algebraic expression:
8 + (10 - 7)
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.
Learn more about word problem at
https://brainly.com/question/21405634
#SPJ1