Answer:
x + 9 < 30
"a number" is x and it's the sum (addition) of that and 9 which is less (<) than 30
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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In the real world, functions are mathematical representations of input-output situations. A vending machine is one such example. The input is the money combined with the selected button. The output is the product.
Here is another example:
The formula for converting a temperature from Fahrenheit to Celsius is a function expressed as:
C = (5/9)*(F - 32), where F is the Fahrenheit temperature and C is the Celsius temperature.
If it is 77 degrees Fahrenheit in Phoenix Arizona, then what is the equivalent temperature on the Celsius thermometer?
Our input is 77.
C = (5/9)*(77 - 32)
C = (5/9)*(45)
C = 25
The equivalent temperature is 25 degrees Celsius. To complete the Discussion activity, please do the following:
Choose your own function or choose from the list below and then provide a unique example of a function and evaluate the function for a specific input (like the example above).
Arm length is a function of height.
The circumference of a circle is a function of diameter.
The height of a tree is a function of its age.
The length of person's shadow on the ground is a function of his or her height.
Weekly salary is a function of the hourly pay rate and the number of hours worked.
Compound interest is a function of initial investment, interest rate, and time.
Supply and demand: As price goes up, demand goes down.
Required:
Respond to at least two peers in a substantive, content-specific way. Further the dialogue by providing more information and clarification.
Answer:
Now in the question we are told to choose our on function so for this solution the function which we will use is
\(D = 18t + 2t^2\)
In this function D is the distance in meters which is been traveled at a given time t in seconds
Now it we want to obtain the distance traveled in t = 13 s
This means that t = 13 s is the input of the function
So we have
\(D = 18 (13) + 2* (13)^2\)
=> \(D = 572 \ m\)
So D is a function of t
Now let consider one of the functions given in the question
The circumference of a circle is a function of diameter.
Generally the circumference of a circle is mathematically represented as
\(C = \pi d\)
Here \(\pi\) is constant with value \(\pi = 3.142\)and d is the diameter (in meters) of the circle so
if for example d = 0.2 m , here the diameter is the input
Then the circumference is
\(C = 3.142 * 0.2\)
\(C = 0.6284 \ m \)
Step-by-step explanation:
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
notebooks, and made $19. Club B sold 1 t-shirt and 1 notebook, for a total of $8.
-
Use matrices to solve the equation and determine the cost of a t-shirt and the cost of a notebook. Show or explain all necessary:
Using matrices the simultaneous equation is solved to get x = 3 and y = 5
How to solve the simultaneous equation using matricesThis method required finding determinants in three occasions then dividing
The given equation
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)
the determinant is
\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)
3 * 1 - 2 * 1 = 3 - 2 = 1
Solving for x
determinant while replacing x values
\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)
19 * 1 - 2 * 8 = 19 - 16 = 3
solving for x = 3/1 = 3
Solving for y
determinant while replacing y values
\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)
3 * 8 - 19 * 1 = 24 - 19 = 5
solving for y = 5/1 = 5
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What percent of 530 is 107?
Find the amplitude of y = -2 sin x.
-2π
2π
2
pi divided by two
Answer:
Find the amplitude of y = -2 sin x.
-2π
2π
2
pi divided by two
Step-by-step explanation:
help
Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees
Answer:
y = 98(w) + 115(18 - w)
Step-by-step explanation:
The expression that represents how much Kevin spends for classes at both schools : (#credits at Westside)($98) + (#credits at pinewood)($115). If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be, if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits. If y is the total cost of is courses, then y = 98(w) + 115(18 - w). Using the distributive property, this can be simplified.
PLSS PLS PLSSS HELP ME WITH THIS I'M SOO TIRED OF SCHOOL I DON'T UNDERSTAND THIS SIGHH I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER THIS CORRECTLYY PLS AND TYY
Answer:
ew
Step-by-step explanation:
Write a function rule for
Answer:
x^2
Step-by-step explanation:
1^2=1
2^2=4
3^2=9
Slope is
1
2
y-intercept is 7
Asapppp. Hurrryyyy
Answer:
draw a graph and mark the point as (0,7) on the y-axis upper half since its positive.
from there the slope is rise 1 and run 2. meaning from point 7, you go up one, and slide two to the right and mark the next point and keep doing so till you have 3-5 points
4y-7-(y-7) find answer
Answer:
3y
Step-by-step explanation:
4y-7-1(y-7)
4y-7-y+7
4y-y
3y
Round the number to the place of the underlined digit. 4.3186 (the underline number is one). The rounded number is?
Let's begin by listing out the information given to us:
The number is 4.3186
We are to round the number to the place of the underlined digit
The underlined number is 1 (the hundredth place value)
If the number after 1 is less than 5, we round down & if the number is 5 or more, we round up. The number after 1 is 8 (greater than 5). We have:
\(4.3186\approx4.32\)Hence, the rounded number is 4.32
BOWLING The cost for Nobu to go bowling is $4 per game plus an additional flat fee of $3.50 for the rental of bowling shoes. The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled. Describe the graph of g(x) as it relates to f(x) if Nobu does not rent bowling shoes.
g(x) = , 1 of 3.
Select Choice
, which is the translation of f(x) , 2 of 3.
Select Choice
units , 3 of 3.
Select Choice
The graph of g(x) = 4x, is the translation of f(x) by subtracting 3.5 units, 2 of 3.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The cost can be modeled by the function f(x)=4x+3.5, where x represents the number of games bowled.
As per the given question, the required solution would be as:
g(x) = 4x , is the translation of f(x) by subtracting 3.5 units, 2 of 3.
The graph of g(x) would be identical to the graph of f(x), but shifted 3.5 units downward, 3 of 3.
This is because the flat fee for the rental of bowling shoes is not present in the function g(x), so the y-intercept of the graph would be at (0,-3.5) instead of (0,0) in f(x) function.
The slope and the shape of the function will remain the same.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The calculated scale factor from ABC to A'B'C is 1/3
Calculating the scale factor from ABC to DEF?From the question, we have the following parameters that can be used in our computation:
The triangles
From the triangles, we have the following parameters
A = (0, 3)
A' = (0, 1)
Using the above as a guide, we have the following:
Scale factor of the dilation = A'/A
So, we have
Scale factor of the dilation = (0, 1)/(0, 3)
Evaluate
Scale factor of the dilation = 1/3
Hence, the scale factor of the dilation is 1/3
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The owner of a local shop made a list of how much she pays her employees by the hour.
Which measure of central tendency would the store owner use if she wanted to argue that the employees are paid well?
A. the mean
B. the median
C. the mode
D. the range
GIVING BRAINLIST
Answer: The answer is D
Step-by-step explanation:
I took the quiz
please help me
integrate In x
\( \frac{ lnx ^{2} }{x}\)
Answer:
On the pic
Step-by-step explanation:
Sorry if my handwriting is bad
Does the mean represent the center of the data?
Answer:
The “center” of a data set is also a way of describing location. The two most widely used measures of the “center” of the data are the mean (average) and the median.
Step-by-step explanation:
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THANK YOU!!!!
Write down the name of each of these shapes.
a)
b)
Answer:
a. right triangle or right-angled triangle
b. scalene triangle
Answer:
a) right-angled triangle
b) scalene triangle
Step-by-step explanation:
a) the square represents 90 degrees, and 90 degrees is called a right angle.
b) It has no defined sides or angles and all sides or angles are different.
What is 3.5 divided by 7
Answer:
1/2 or 0.5
Step-by-step explanation:
....
The solution for 3.5 divided by 7 is,
⇒ 70
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The expression is,
⇒ 3.5 divided by 7
Now, We can write as;
⇒ 3.5 divided by 7
⇒ 3.5 ÷ 7
⇒ 35 / 70
⇒ 1 / 2
Thus, The value of fraction for 3.5 divided by 7 is,
⇒ 1/2 or 0.5
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Hi- I need help please to get my HS diploma...did not graduate :(
For the inequality y+4x≤x2+2, where is the graph shaded and is the curve solid or dotted?
Answer:
B
Step-by-step explanation:
first for the easy one : the curve line is dotted, if the line points are NOT part of the solution. and it is solid, if the points are included.
you know what the curve line indicates ? it indicates the points for which there is equality.
so, if there is a ">=" or "<=" relation, then that includes equality, and the curve is solid.
if there is only a true inequality ("<", ">"), then the curve is dotted, as the equality is not included.
so, I how this is now really clear.
in our case here (I suspect it really looks like this)
y + 4x <= x² + 2
we have a "<=" sign, so, the curve is ..., well ? ... well ? ...
well ? ... well ? ... solid !
and we still treat inequalities as much as possible as regular equalities.
so,
y <= x² - 4x + 2 (after subtracting 4x from both sides).
and now you see it, right ?
all y values that are smaller or equal to the quadratic expression.
SMALLER ! so, BELOW the curve (as the smaller y values are represented by the lower part of the y-axis).
how geometric sequences are related to exponential functions?
Answer:
Geometric sequences and exponential functions are very closely related. You just learned that to get to the next term in a geometric sequence you multiply the last term in the sequence by the common ratio. ... Continuous means that the function has values for all possible values of \begin{align*}x\end{align*}
What is the m<3?
m<3 =
Answer:
105°
Step-by-step explanation:
< 3 = 50° + 55° { exterior angle of a triangle is equal to the sum of two opposite interior angles }
<3 = 105°
Approximate -10 + √30 to the nearest tenth.
O-5.5
O-4.5
04.5
O5.5
Answer:
(b) -4.5
Step-by-step explanation:
Choosing the correct answer here is not the same as knowing what the correct value is.
EstimateYou know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.
You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...
-10 +√30 ≈ -10 +5.5 = -4.5
__
Additional comment
Of course, a calculator can tell you the value to the desired precision.
Ages Number of students
15-18 9
19-22 4
23-26 9
27-30 2
31-34 5
35-38 8
Based on the frequency distribution above, find the relative frequency for the class with lower class limit 23
Relative Frequency = %
Answer:
∑f=9+4+9+2+5+8=37
\(\frac{9}{37} =0.24\)
Step-by-step explanation:
Savannah is going to invest in an account paying a interest of 1.6% compounded continuously. How much would Savannah need to invest to the nearest hundred dollars for the value of the account to reach $41,000 in 11 years
Answer: 34400 on delta math
Step-by-step explanation:
How many square centimeters are in an area of 3.30in
Answer:
8.382 cm
Step-by-step explanation:
1in = 2.54 cm
3.30 x 2.54 = 8.382 cm
Solve this equation for x. Round your answer to
the nearest hundredth.
3 = In(x + 9)
Answer:
x ≈ 11.09
Step-by-step explanation:
Using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
Given
ln(x + 9) = 3 , that is
\(log_{e}\) (x + 9) = 3 , then
x + 9 = e³ ( subtract 9 from both sides )
x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )
Which answer choice best represents 3/15?
Select the Hint button to view a hint. You will get 14 points.
A: 5/6 5
B: 5/1 5
C: 6/1 5
D: 6/6 5
The equivalent fraction for the given fraction is 1/5.
What is an equivalent fraction?Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.
The given fraction is 3/15.
The equivalent fraction is 3/15 =1/5
Therefore, the equivalent fraction for the given fraction is 1/5.
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For each value of u, determine whether it is a solution to
- 57 = 5u - 7
2, 3, 10, 0
Answer:2 is a solution 3 is not 0 is not 10 is and also to determine the solution you can get calculator soup to help you Hope this helps bye
Ayuda operaciones y respuesta es para ahora
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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Dean picked 28 flowers and Jackie picked 37 flowers. They put the flowers they
picked together. Then, Dean and Jackie divided all of the flowers among 6 flower pots
so that each flower pot had the same number of flowers. How many flowers were left
over after Dean and Jackie had filled the flower pots?
Answer:
if all the pots have an even amount then you should be left with 5 flowers left
Step-by-step explanation:
28+37= 65 there are 6 pots so take 5 away and each pot gets 10
now each pot has an even amount and you are left with 5