The term which defines how far a function rises or fall relative to its midline is; The Amplitude.
What is the term that describes rise or fall relative to the midline?In some functions such as trigonometric functions in which case, the graph oscillates and hence, rises above or below a midline, the distance above or below the midline of such functions is described by the term amplitude.
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Help picture below problem 6
money must serve as...?
Answer:
currency? . . . . . ........
I bought 10 bananas. Each bonana weighed 50 grams. If the price for bananas was $6.50 per kilogram, how much did I pay?
Answer:
$ 3.25
Step-by-step explanation:
Math question! Please help! 100 points
An arithmetic sequence has first term a = 5 and common difference d = 2. How many terms of this sequence must be added to get 1440?
To find how many terms of this sequence must be added to get 1440, we must know the arithmetic sequence equation to find any term in the sequence:
⇒ [tex]a_{n}=a_{1} +(n-1)d[/tex]
[tex]a_{n}[/tex] --> value of the nth number of the sequence[tex]a_{1}[/tex] --> first term of the sequencen --> position of the nth termd --> common differenceLet's examine the information given:
first term a = 5⇒ [tex]a_{1} =5[/tex]
common difference d = 2⇒ d = 2
Therefore the equation for finding the nth term of the sequence so far is:
[tex]a_{n}=5+(n-1)*2=5+2n-2=3+2n[/tex]
Now we want to find how many terms this sequence must be added to get 1440
General equation for adding all the terms = [tex]\frac{n(a_{1}+a_{n} ) }{2}[/tex]
[tex]a_{1}[/tex]: first term of the sequence[tex]a_{n}[/tex]: last term of the sequencen: number of terms in the sequence.Using all the information given, let's plug in the all the values:
[tex]1440=\frac{n*(5+(3+2n))}{2} \\1440=\frac{n*(8+2n)}{2} \\2880=8n+2n^2\\2n^2+8n-2880=0\\(2n+80)(n-36)=0[/tex]
To solve this we set (2n + 80) = 0 and (n-36) = 0
[tex]2n+80=0\\ 2n = -80\\n= -40[/tex] [tex]n - 36 =0\\n = 36[/tex]
In this case, n can only equal 36 since n cannot be negative.
Answer: 36 terms of this sequence must be added to get 1440.
Hope that helps!
General formula
a_n=a+(n-1)ds_n=n/2[2a+(n-1)dWe need n
n/2[2(5)+2(n-1)]=1440n[10+2n-2]=2880n[2n+8]=28802n²+8n-2880=0n²+4n-1440=0(n+40)(n-36)=0Take it positive
n=3611x2=22x how do you solve this equation
Evaluate. 5/6 + 1/3 + 1/12 = ?
Answer:
The answer i got was 5/4 or 1 whole & 1/4 aka 1 1/4
Step-by-step explanation:
Answer:
[tex]5/4\ or\ 1 \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Determine a common denominator
Looking at the bottom of the fractions, also known as the denominator, we see that we are given 6, 3, and 12 which all can be multiplied to have the denominator as 12.
Step 2: Convert the fractions to have a common denominator
[tex]5/6 * (2/2) = 10/12[/tex]
[tex]1/3 * (4/4) = 4/12[/tex]
[tex]1/12 * (1/1) = 1/12[/tex]
Step 3: Add up the fractions
[tex]10/12 + 4/12 + 1/12[/tex]
[tex]15/12[/tex]
[tex]5/4[/tex]
Step 4: Convert to mixed fraction
[tex]5/4[/tex]
[tex]4/4 + 1/4[/tex]
[tex]1 + 1/4[/tex]
[tex]1 \frac{1}{4}[/tex]
Anwer: [tex]5/4\ or\ 1 \frac{1}{4}[/tex]
Please help me solve #1
Answer:
domain x range y
Step-by-step explanation:
hopefully it helps
true or false? (7+1)+8=7+(1+8)
Answer: True
Explanation:
Find the positive constant c that makes the quadratic the square of a binomial.
x^2+cx+25
Help would really be appreciated. put it up for 50 points
Answer:
I think its 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Outline
You could have 2 values. The way to get them is to take the square root of 25, c is double the value you get for the first step. Why 25? Well you only have 1 other choice and that is the 1 that is in front of the x^2. That's not very helpful.
Formula
c = ± 2*sqrt(25)
Solution
c = ± 2 * sqrt(25)
c = ± 2 * 5
c = ± 10
Comment
Where does the ± come from?
You need to get + 25
If you have (x - 5)(x - 5) the last term will be -5 * - 5 = 25
Similarly you get the same result with (x + 5)(x + 5)
Can I get help with Number 4?
Answer:
210 marchers
Step-by-step explanation:
five sevenths times 294 is 210
Can someone please find C. Ive been at it for a long time and its bothering me
Answer:
C(8, -16)
Step-by-step explanation:
Line L has equation x + 2y = 16.
Solve for y.
2y = -x + 16
y = -(1/2)x - 8
Point B is on the x-axis, so its y-coordinate is 0.
x + 2y = 16
x + 0 = 16
x = 16
The coordinate of point B are (16, 0).
y = (-1/2)x + 8
The y-intercept of line AB is (0, 8).
E(0, 8)
AE = EB
From point B to point E, go 16 units left and 8 units up.
E(0, 8)
From point E to point A, also go 16 units left and 8 units up.
A(-16, 16)
Line M is perpendicular to line L, so the slope of line M is 2.
The equation of line M is
y = mx + b
m = 2
y = 2x + b
Line M includes point A(-16, 16)
16 = 2(-16) + b
b = 48
y = 2x + 48 (Equation of line M)
The x-intercept of line M is where y = 0.
0 = 2x + 48
2x = -48
x = -24
Point D has coordinates (-24, 0).
Since line DC is parallel to line L, to go from point D to point C is the same as going from point A to point B.
Go right 32 and down 16.
(-24, 0) becomes (8, -16)
C(8, -16)
∠3 and ∠6 are _____________ because they are _______________________.
a supplementary/same-side interior angles
b supplementary/corresponding angles
c congruent/same-side interior angles
d congruent/corresponding angles
Answer: Option (1)
Step-by-step explanation:
∠3 and ∠6 are supplementary because they are same-side interior angles. Therefore, the correct answer is option A.
From the given figure, m and n are parallel lines and l is transversal.
Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
Here, angle 3 and angle 6 are co-interior angles and sum of their angles is supplementary.
Therefore, the correct answer is option A.
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The figure shows a carpeted room. How many square feet of the room are carpeted?
A polygon that is a part of a rectangle is shown with perpendicular sides. The top is labeled 6 feet. The side on the left is labeled 8 feet. The base is labeled 2 feet, and the side adjacent to it on the right is labeled 3 feet
24 square feet
28 square feet
34 square feet
36 square feet
Answer:
36 square feet
Step-by-step explanation:
Check the attachment for the missing sides.
1) We calculate the missing sides by subtracting one of the similar sides with the longest one possible. In this case, 6 - 2 = 4 and 8 - 3 = 5.
2) Strikethrough the compound shape, creating two shapes; then, label them. Check the diagram attached.
3) Now, let's find the area of each of the squares; and then, add them.
Shape A:
= 4 × 5
= 20
Shape B:
= 2 × 8
= 16
Total:
= 20 + 16
= 36 feet²
Answer:36
Step-by-step explanation:cause i did the test and got it right.
hope this helps.
During the first year of opening his law firm, a lawyer served 46 clients. In the second year, his number of clients grew to 62. If a linear trend continues, write an equation that gives the number of clients c the lawyer will have t years after beginning his firm.
Answer:
There were 3 associates and 5 partners in the case.
Since a law firm is going to designate associates and partners to a big new case, and the daily rate charged to the client for each associate (A) is $ 500 and the daily rate for each partner (P) is $ 1000, and the law firm assigned a total of 8 lawyers to the case and was able to charge the client $ 6500 per day for these lawyers' services, to determine the equation that represents the total number of lawyers on the case, and to effectively determine these numbers, the following calculations must be made:
A + P = 8
500A + 1000P = 6500
1000 x 8 = 8000
8000 - 6500 = 1500
1500/500 = 3
3 x 500 + 5 x 1000 = 6500
Therefore, there were 3 associates and 5 partners in the case.
And buys six bags of apples each bag has eight apples if she shares the apples equally among her 12 soccer teammates how many apples will each teammate receive
Answer:
3
Step-by-step explanation:
1⁄5 × 4⁄7 × 3⁄4=?
I will give brainliest if you are correct
Answer:
[tex]\frac{3}{35}[/tex]
Start with 1/5 × 4/7[tex]\frac{1}{5} *\frac{4}{7} = \frac{1 * 4}{5 * 7} = \frac{4}{35}[/tex]
Preserve [tex]\frac{4}{35}[/tex] as x, it will be of good use in just a moment.[tex]\frac{4}{35} = x[/tex]
Multiply x([tex]\frac{4}{35}[/tex]) by [tex]\frac{3}{4}[/tex][tex]x * \frac{3}{4}[/tex]
To do this, you have to substitute the numerator(4) as x, and the denominator(35) as y.[tex]\frac{x(4) * 3}{y(35) * 4} = \frac{12}{140}[/tex]
Simplify using the LCD Least Common Denominator.[tex]\frac{12 / 4}{140 / 4} = \frac{3}{35}[/tex]
_______________________________________________________
And with that information, your final answer is [tex]\frac{3}{35}[/tex]
_______________________________________________________
What have we learned?We learned how to multiply fractions using different denominators, and multiple parameters.
Questions related to this topic? Ask me in the comments box.
Plissss helP meee!!!!!
Question 10 of 10
Which is the graph of the parent function f(x) = |x|?
10
X
-10
10
O A.
-10
Answer:
Graph B
Step-by-step explanation:
f(x) = | x |This means that regardless of the x-input you enter, the y-output will always be positive, as indicated by the modulus, which refers to the absolute valueGraph B shows the correct graph2 Luna is 5 feet tall. How tall is she in centimeters? There are about 2.5 centimeters in
an inch.
Answer:
Luna is 150 centimeters tall
Step-by-step explanation:
Step 1: Determine the height in inches
5 feet * (12 inches / 1 feet)
60 inches
Step 2: Convert to centimeters
60 inches * (2.5 centimeters / 1 inches)
150 centimeters
Answer: Luna is 150 centimeters tall
Please help any math experts thank you
Answer:
13 is 59° and 14 is 84°
Step-by-step explanation:
hope this helps! :)
PLS HELP WILL MARK BRAINLIEST
Answer:
5 and 6
2 and 8
Step-by-step explanation:
Supplementary means that the angles add up to 180°
1 and 4 are vertical angles and they are equal.
3 and 6 are alternate interior angles and they are equal.
Unit 8: Right triangles & Trigonometry Homework 4: Trigonometric Missing Sides
Please help
Answer:
#15 x ≈ 20.5
Step-by-step explanation:
To find missing sides
1) find the reference angle
2) identify the information that is needed ( what are you given - opposite side, adjacent side, hypotenuse)
3) use that information to set up the trigonometric equation
#10
angle is 64, opposite side is 42, adjacent side is x
so you use tangent
tangent 64 = 42/x multiply by x
x tangent 64 = 42 divide by tangent 64
x = 42/tangent 64
x ≈ 20.5
Delisa is designing a website that will be viewable on both computers and mobile devices, so the website as it is seen on a mobile device is proportional to the website as it is seen on a computer. The diagonal of Delisa's computer monitor is 21 inches, and the diagonal of Delisa's tablet is 9.7 inches.
If an image is 17 centimeters wide on the website when it's displayed on Delisa's computer, how wide should the image be on the tablet? Round to the nearest tenth of a millimeter, if necessary.
A.
368 millimeters
B.
1,439 millimeters
C.
78.5 millimeters
D.
1.3 millimeters
75 points!!!!!!!!!
Help help help help math math
Answer:
negative 14 x≥-×>-14Step-by-step explanation:
i know you didn't understand but it's correct :>
answer is:. -28 means ,negative >-28
Samantha is going to use 80 one-inch cubes to build a rectangular prism. She wants the height of the rectangular prism to be 4 inches, and she wants the width to be less than the length. How many rectangular prisms with different dimensions could she build?
Answer:
3
Step-by-step explanation:
Promise
Ellie surveyed her friends, asking each of them, "How many times have you been to the zoo?" The resulting data set has a distribution that can be described several ways.
Select from the drop-down menus to correctly complete the statements about the distribution.
The distribution can be described by its shape. If the line plot is bell-shaped, the distribution is
Choose...
.
The distribution can be described by its center. If the distribution is bell-shaped, the
Choose...
is an accurate measure of center.
The distribution can be described by its spread. If the data set has an outlier, the
Choose...
is an accurate measure of spread.
Answer:
Normal Mean or meidian IQR
Step-by-step explanation:
I hope this helps my sister needed the same thing
Answer:
Step-by-step explanation:
The distribution can be described by its shape. If the line plot is bell-shaped, the distribution is: Normal
The distribution can be described by its center. If the distribution is bell-shaped, the mean or median is an accurate measure of center.
The distribution can be described by its spread. If the data set has an outlier, the IQR is an accurate measure of spread.
Brainlist
What is the area of a rectangle with a length of 6 2/5 centimeters and a width of 2 3/5 centimeters?
Answer: [tex]16\frac{16}{25} cm^2[/tex]
Step-by-step explanation:
The formula for area is length × width = area
Sub in the values for length and width to solve
[tex]6\frac{2}{5}[/tex]×[tex]2\frac{3}{5}[/tex]=[tex]16\frac{16}{25}[/tex]
You need to be at least 39.37 inches tall (about a meter ) to ride on a bumper car. Diego cousin is 35.75inches tall. How many more inches will he need to grow before Diego can take him on the bumper car ride. Explain or show your reasoning.
Answer:
3.62
Step-by-step explanation:
39.37 - 35.75 = 3.62
find the circumference of the circle whose diameter is 14 cm
Circumference of the circle with diameter 14 cm is 43.96 cm.
What is the circumference?Circumference of any shape or figure is the total length of it's boundary. Circumference of a shape is also called the perimeter.
Circumference of any shape can be calculated by opening that shape into a straight line and then measuring the length of the line.
Perimeter of the circle can be computed by the formula,
C = 2πr, where r is the radius of the circle.
So, diameter of the circle is 2r
Here, we have, diameter = 2r = 14 cm
∴Circumference = 14π = 43.96 cm
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PLS HELP ME
Number 1
the answer is 6 because theres need to be a total of 9 and they put 3 cups so 9 minus 3 equals 6
4. At sunset (4:52 p.m.) the temperature
reading was - 7º. During the night a cold
front passed through and the reading at
sunrise (6:58 a.m.) was -22°. Which of
the following describes the change
in
temperature?
-
(1) -29
(2) - 15
(3) +14
(4) +15
(5) +29
Answer: -7
Step-by-step explanation:
-22 -(-7)
-22 + 7
-15
Since the temperature got colder, your answer is going to be a negative number.