The exists no solution for which the water depth 14 feet in the ocean near the shore.
Explain the term time period?A time period (T) is the length of time it takes for one complete vibration cycle to pass over a certain location. As the frequency of a wave rises, so does its period. The length of time is expressed in "seconds."We determine the function's period since that is the number of it takes hours for the ocean to return to its original depth of a specific number of feet.
The function's duration is 2π/ (π/6.2) = 12.4 hours.
When t = 0, midnight, or 12:00AM, it is low tide.
As a result, the next low tide will occur at 12:24 PM, or t = 12.4, 12.4 hours from now.
A high tide will occur halfway between those two low tides, at t=6.2 hours after midnight, or at 6:12AM.
Another high tide will occur at t=18.6 hours after midnight, or at 6:36 PM, 12.4 hours later.
If t = 0 is used in the equation, the low tide occurs at that time;
d = 35 - 28cos(pi/6.2)t
d = 35-28cos(pi/6.2)0
d = 35-28cos(0)
d = 35-28(1)
d - 35-28
d = 7
Therefore, there will never be 4 feet there because the lowest depth that may exist is 7 feet.
Thus, the exists no solution for which the water depth 14 feet in the ocean near the shore.
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F(x)=2x-7
G(x)=3x²-5x-7
Find:f(g(x))
Express your answer as a polynomial in standard form.
The composition function for the given function f(x) and g(x) is,
f(g(x)) = 6x^2 - 10x - 21.
What is composition of function?
The mathematical operation known as "function composition" takes two functions, f and g, and creates a function, h = g o f, such that h(x) = g. This operation involves applying the function g to the outcome of applying the function f to x.
Given:
f(x) = 2x - 7
g(x) = 3x^2 - 5x - 7
We have to find the composition function f(g(x)).
[tex]f(g(x)) = f(3x^2- 5x - 7)[/tex]
Plug x = 3x^2 - 5x - 7 in f(x).
[tex]f(g(x)) = 2(3x^2 - 5x - 7) - 7\\f(g(x)) = 6x^2 - 10x - 14 - 7\\f(g(x)) = 6x^2 - 10x - 21[/tex]
Hence, the composition function for the given function f(x) and g(x) is, f(g(x)) = 6x^2 - 10x - 21.
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Which graph is defined by f(x) = x² + 5|x| + 6?
O A.
OB.
O C.
O D.
graph A
graph B
graph C
graph D
The attached graph is defined by f(x) = x² + 5|x| + 6.
What is the graph function?
The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function is a special case of the graph of an equation.
We have,
y = x² + 5|x| + 6
we know,
|x|² = x² use this ,
y = |x|² + 5|x| + 6
Steps for drawing y = |x|² + 5|x| + 6
step1 :- first draw y = x² + 5x + 6, this graph is quadratic equation .
step2:- Leave the part of y=x² + 5x + 6 right side to the y-axis and also take its image with respect to the y-axis as a plane mirror.
step3 :- now remove the part of y = x² + 5x + 6 to left side from y - axis .
now your graph is ready
you can see in the figure attached.
Hence, the attached graph is defined by f(x) = x² + 5|x| + 6.
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Tony and ted went fishing. Tony caught 78. 29 pounds of fish, and ted caught 59. 36 pounds of fish. How many total pounds of fish did tony and ted catch?.
Together, Tony and Ted caught 78.29 pounds + 59.36 pounds = 137.65 pounds of fish when they went fishing.
What is meant by addition?Addition is a mathematical process that combines two or more numbers or units to form a sum. One of the four fundamental operations of mathematics, along with addition, subtraction, multiplication, and division, it is generally represented by the plus sign (+). The fundamental idea of addition is one that is taught to children at a young age and is utilized frequently in both mathematics and daily life. For instance, when shopping, one may tally up the costs of several goods to get the overall expense. In algebra, adding is used to solve problems and make statements simpler. Finding side lengths and shape areas are both important aspects of geometry. In general, adding is flexible. for example,Tony and ted went fishing. and we got to calculate the total fishes caught by them.
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7) What is the better deal? A 12 pack of gatorade for $25.20 or a 15 pack of gatorade for $33?
Answer: 12 pack.
Step-by-step explanation: 25.20 divided by 12 shows us that each gatorade costs 2.1 dollars. Now add the 3 gatorade worth to 25.2. You get 31.5 which is less than 33, showing that 12 pack is more worth as you pay less for 15 aswell.
Adriano mixed 19/24 pound of butter with 3/16 pound of honey he ay that he ued 16/8 pound of butter than honey i hi tatement reaonable
The statements that Adriano mixed 19/24 pound of butter with 3/16 pound of honey he ay that he ued 16/8 pound of butter than honey is not reasonable.
what is mixture?A mixture is a substance made of two or more additional chemical compounds or substances that do not chemically combine. It is actually the physical blending of two or more substances so that they can still be distinguished from one another when combined as solutions, suspensions, or colloids. Physical means can be used to separate them. The different components in any mixture are not created through any sort of chemical transformation. As a result, each component's unique properties are unaltered.
A mixture's constituent parts also do not combine chemically to form new material, in contrast to a compound. Instead, they just combine while retaining their individual traits. because there are variable quantities of the components
Ratio 19/24 is nearby ¾
Ratio 3/16 is nearby ¼
And ratio 16/8 is nearby 2
So, that his statements is not reasonable.
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Mr. Hill also teaches gym. He has 20 soccer balls and 3 teams of
students. He gives the same number of balls to each team.
Can Mr. Hill divide 20 balls into 3 equal groups?
»)
>>>
>>)
Yes
No
I am not sure.
Answer:No, because you cant divide 20 balls into 3 equal groups.
Step-by-step explanation:
An author published a book which was being sold online. The first month the author sold 2500 books, but the sales were declining steadily at 12% each month. If this trend continues, how many total books would the author have sold over the first 18 months, to the nearest whole number?
An arithmetic sequence is a sequence where the difference between each consecutive term is the same.
The sum of an arithmetic sequence is given as,
S(n) = a + d(n - 1)
The total number of books sold over the first 18 months is 7600.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
Example:
2, 4, 6, 8, 10 is an arithmetic sequence.
We have,
In the first month, the author sold 2500 books, but the sales were declining steadily at 12% each month.
This means,
a = 2500
12% of 2500
12/100 x 2500
= 12 x 25
= 300
d = 300
Now,
The sum of an arithmetic sequence is given as,
S(n) = a + d(n - 1)
Now,
n = 18
a = 2500
d = 300
S(23):
= 2500 + 300(18 - 1)
= 2500 + 300 x 17
= 2500 + 5100
= 7600
Thus,
The total number of books sold over the first 18 months is 7600.
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12 less than twice a number.
help me please help help
Answer:
2x - 12
Hope this helps : )
Step-by-step explanation:
The equation for 12 less than twice a number is 2x-12. This is because "12 less than a number" means 12 is being subtracted from a number. The "number" is a variable which can be x. "Twice a number" is the variable being multiplied by 2. So the final equation would be 2x - 12.
8. Which of the following is NOT preserved when a figure is dilated?
A. Betweenness
B.orientation
C. size
D. shape
C. size
because when things dilate they change in size but not shape, orientation or betweenness
what is 24 in scientific notation
Answer:
2.4 × 101
Step-by-step explanation:
that is 24 in scientific notation
Answer:
24 * 10^1
Step-by-step explanation:
Hope this helps. :)
Jada has time on the weekends to earn some money. A local bookstore is looking for someone to help sort books and will pay $12.20 an hour. To get to and from the bookstore on a work day, however, Jada would have to spend $7.15 on bus fare.Write an equation that represents Jada’s take-home earnings in dollars, , if she works at the bookstore for hours in one day. One day, Jada takes home $90.45 after working hours and after paying the bus fare. Write an equation to represent this situation. Is 4 a solution to the last equation you wrote? What about 7? If so, be prepared to explain how you know one or both of them are solutions. If not, be prepared to explain why they are not solutions. Then, find the solution. In this situation, what does the solution to the equation tell us?
Equation that represents Jada’s take-home earnings in dollars E = 12.20(h)-7.15
The equation that represents the situation is h=6.82 hours.
What is equation?An equation, a formula that is express the equality of two expressions. The equation is representing direct proportion is , by the commenting them with in the equal sign .
As per the given question
Pay hour = $12.20 per hour
Bus fare = $7.15
1.Equation:
Assume that
She has work for "h" hours
Total earning = E
So, E = 12.20(h) - 7.15
If, Total earning = E = $90.45
So, E = 12.20(h) - 7.15
90.45 = 12.20(h) - 7.15
h = 6.82 hours
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pls help due now!!!!!!!!!!!
Answer:
B. For 5 students, the cost will be the same, and the cost will be $70
Step-by-step explanation:
Look at the graph and see where the two linear plots intersect.
This point of intersection is at the x value of 5 and y value of 70: (5, 70)
Since the x-axis represents the number of students and y axis the total cost, the answer is B
)) Solve for
13 = r + 1
R =
Answer:
R = 12
Step-by-step explanation:
1 + 12/R = 13
find an equation of a plane that contains the point (1, 2, 3) and is normal to the line . for what value of is on the plane?
Using the equation of the plane and the provided point (1,2,3) with the unit values perpendicular to the plane .The answer is [tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]
What do you mean by a plane?A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalization of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes.
What are normal values to the plane?A normal in geometry is a piece of geometry that is perpendicular to another piece of geometry, such as a line, ray, or vector. For instance, the (infinite) line perpendicular to the tangent line to the curve at the point is the normal line to a plane curve at the point.
x1=1
y1=2
z1=3
[tex]\frac{x-x1}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{y-2}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} + \frac{z-3}{\sqrt{x1^{2}+y1^{2}+z1^{2}}} = 1[/tex]
[tex]\frac{x-1}{3.14} + \frac{y-2}{3.14} + \frac{z-3}{3.14} = 1[/tex]
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b + ad/c = e. can anyone help me make C the subject
Answer:
[tex]\huge\boxed{\sf c=\frac{ad}{e-b}}[/tex]
Step-by-step explanation:
Given equation:[tex]\displaystyle b + \frac{ad}{c} = e[/tex]
Subtract b to both sides
[tex]\displaystyle \frac{ad}{c} = e-b[/tex]
Multiply c to both sides
[tex]ad=c(e-b)[/tex]
Divide (e - b) to both sides
[tex]\displaystyle \frac{ad}{e-b} = c\\\\\boxed{c=\frac{ad}{e-b} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
You make $10 an hour babysitting and $20 an hour lifeguarding. You need to make at least $120 next week to buy a concert ticket. You can work at most 10 hours a week. Use y for number of hours babysitting and x for hours lifeguarding
Answer:
5 hours lifeguarding and two hours babysitting.
Step-by-step explanation:
5(20) = 100
10(2) = 20
100 + 20 = 120
What is the area of this composite figure?
10 ft
10 ft
6 ft
2 ft
Answer:
88 ft^2
Step-by-step explanation:
we can make this a full 10 by 10 rectangle and find the area
10x10
100
And now we subtract the 6 by 2 triangle area that we added
6x2
12
100-12
88 ft^2
Hopes this helps please mark brainliest
Answer:
Answer = 88 ft²
Step-by-step explanation:
Step 1: Divide the composite shape into two separate parrellagrams
1. Dimensions of shape 1: Length is 10 ft, and width is 4 ft
2. Dimensions of shape 2: Length is 8 ft, and width is 6 ft
Step 2: Multiply the length by the height of each shape
Area = lw
3. Area of shape 1: 10 ft ∙ 4 ft = 40 ft²
4. Area of shape 2: 8 ft ∙ 6 ft = 48 ft²
Step 3: Add both areas together to get the total area of the composite shape
5. 40 ft² + 48 ft² = 88 ft²
Hence, the total area of this composite figure is 88 ft²
Sixty one minus twenty nine
Answer:
Step-by-step explanation:
32
1. Corey’s pay increases from £12.36 per hour to £14.11 per hour. Find the percentage increase to 1 decimal place.
2. Dele invests $6000 for 4 years at 3% per annum compound interest. Calculate the value of his investment at the end of 4 years.
3. The value of a car depreciates by 14% per annum. At the end of 2017 the car is worth $17500. How much is it worth at the end of 2020?
a) Corey's percentage increase in pay per hour is 14.2%.
b) When Dele invests $6,000 for 4 years at 3% per annum compound interest, the value of his investment (future value) at the end of 4 years is $15,757.12.
c) The worth of the car at the end of 2020 is $11,812.50, depreciating by 14% per annum.
a. Corey's original pay per hour = £12.36
Corey's new pay per hour = $14.11
Increase in pay = £1.75 (£14.11 - £12.36)
Percentage increase in pay = 14.2% (£1.75/£12.36 x 100)
b. Principal investment = $14,000
Investment period = 4 years
Compound interest rate = 3%
Compounding terms = Annually
The future value (FV) in 4 years:
N (# of periods) = 4 years
I/Y (Interest per year) = 3%
PV (Present Value) = $14,000
PMT (Periodic Payment) = $0
Results:
FV = $15,757.12
Total Interest = $1,757.12
c. Value of a car at the end of 2017 = $17,500
Depreciation rate per annum = 14%
Depreciation period = 3 years (Dec. 31, 2017 - Dece. 2020)
Value of the car at the end of 2020 = $11,812.50 ($17,500 x 1.14⁻³)
Thus, the car will reduce (depreciate) in value every year by 14%, making its value to be $11,812.50 at the end of 2020.
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PLS HELP ASAP IM TAKING IT RN AND ITS TIMED
Days People
1 26
2 30
3 34
4 38
5 42
6 46
The chart shows how many people have signed up to go on a field trip each day. How many people would you expect to sign up on day 7?
Responses
A 49
B 48
C 47
D 50
Step-by-step explanation:
Using linear regression, you'd expect 50 people to sign up on day 7.
Characterize the slope of the line in the graph
it must be A because it's is going down word
Answer:
Slope is negative
Step-by-step explanation:
from one point to the next, it goes down 1 (-1) and over 4 (4)
or, from one point it goes left 4 (-4) and up 1 (1) just depending on how tou look at it.
An investor invested a total of $2000 in two mutual funds. One fund earned a 9%
profit while the other earned a 2% profit. If the investor's total profit was $89,
how much was invested in each mutual fund?
$340 was invested in the 9% fund and 1660 was invested in the 2% profit fund.
Step-by-step explanation:
Let x be amount invested in 9% profit fund
let (2000-x) be the amount invested in the 2% profit fund
.09x+.02 times (2000-x)=89
.09x+40-.02x=89
0.07x=49
x=340
The amount invested in mutual fund A and mutual fund B is $700 and $1300 respectively.
what is profit margin?Profit margin is a measure of profitability. It is calculated by finding the profit as a percentage of the revenue. It is given by :
profit margin = (profit / revenue or return) × 100
Given here $ 2000 invested in two mutual funds
let the amount invested in A be x then the amount invested in B is $2000-x
now profit in dollars from the two mutual funds is equal to $89
therefore, 9% of x + 2% of $2000-x = $89
0.09x + 0.02×(2000-x) = 89
0.09x + 40 - 0.02x = 89
0.07x = 49
x = $700
Hence the amount invested in A is $700 and amount invested in B is $1300.
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Formulas are NOT used to solve a real-world problem of converting inches to feet.
O True
O False
B i the midpoint of AC. D i the midpoint of CE. DE=5 and AE=18. What i the length of BD?
The length of BD is 9 units when considering the idea of a line segment's midpoint.
What is midpoint of line segment ?A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C. As a result, measuring the length of the line segment and dividing it by two will yield the midway.
According to the given information :
AE = 18, DE = 5
However, D is the middle of CE
CE = 2 × 5 = 10
The line CE will become 10
But AE is the total length of the line segment and it is equal to 18
AE = AC + CE
AC = AE - CE
AC = 8
If AC = 8 , BC = 1/2AC
BC = [tex]\frac{8}{2}[/tex]
BC = 4
The BD becomes BC + CD
BD = 9 units
The length of BD is 9 units when considering the idea of a line segment's midpoint.
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4y=-3x+12 what is the answer
a town has 10,000 two-child families.
Answer:
Step-by-step explanation:
if its asking how many people there are it would be 40,000
Mother, Father, 2 kids=4
4 x 10,000= 40,000
PLEASE HELP ME OUT!!!!!!!!
GIVING BRAINLIEST
Fill in the blank with the correct response. If 24 is increased to 30, the percent of increase is %.
Answer:
there is a 25% increase from 24 to 30
Step-by-step explanation:
30-24/24 x 100
6/24x 100
0.25x100
25%
Answer:
[tex]\begin{align} \% \text{ Increase} &= \dfrac {\text{Final - Initial}}{\text{Initial}} \times 100 \\ \\ &= \dfrac {30 - 24}{24} \times 100 \\ \\ &= \dfrac {6}{24} \times 100 \\ \\ &= 0.25 \times 100 \\ \\ &= 25 \% \end{align} [/tex]
There is a 25 % increase from 24 to 30.
please help! Need to get my math grade up
Answer: A.( 2,10) B.(4,6) C(5,4) D(6,2)
Step-by-step explanation:
Write the equation of the line in fully simplified slope-intercept form.
You see from the graph that when x = 0, y = 2 so the y-intercept is ( 0 , 2).
you are given points (-6 , 3) and (6 , 1). Find slope:
slope = change in y / change in x
slope = (3 - 1) / (-6 - 6)
slope = 2/-12
slope = -1/6
slope-intercept form: y = mx + b where m = slope and b = y intercept.
y = -1/6x + 2
Select the correct answer.
Which function passes through points (2, 3) and (4, 4)?
Answer:
7
Step-by-step explanation:
Answer: y= 1/2x+2
Step-by-step explanation:
Using the y=mx+b formula you simply find the slope between the two points considered on a graph
Hope this helps you