Answer:
[tex]y= 4cos(\frac{7\pi }{2}x)+2[/tex]
Step-by-step explanation:
We know that the transformations of a cosine equation can be shown as:
y=±a(b(x-h))+k
Where 'a' is the amplitude
'b' is the horizontal change (Do 2π/b to find the period)
'h' is the horizontal shift
and 'k' is the vertical shift or midline.
------------------------------------------------------
If the amplitude is 4, we can assume a=4.
Since the period is 4/7, we can solve for the 'b' value by:
[tex]2\pi /\frac{4}{7}= \frac{7\pi }{2}[/tex]
Next, since the midline is 2, we know that a vertical shift of 2 occurred. Thus, the 'k' value is 2.
Writing this equation gives us:
[tex]y= 4cos(\frac{7\pi }{2}x)+2[/tex]
A pool measuring 8 meters by 24 meters is surrounded by a path of uniform
width, as shown in the figure. If the area of the pool and the path combined is
960 square meters, what is the width of the path?
Answer:
8 meters
Step-by-step explanation:
8 × 24 = 192, 960 - 192 = 728.
The width of the path will be 8, and the length of the path will be 91, but since the question is just talking about the path's width, then the answer is 8 meters.
What is 200000 in standard form
Answer:
200,000 or 2000,000.0?
Step-by-step explanation:
Answer:200,000 = 2 x 10^5 fifteen thousand, eleven and sixty-seven thousandths?
Step-by-step explanation:
google hope this help you
William earns $13 an hour working theater last week he worked h hours at the concession stand and three times as many hours at the ticket counter.Write and simplify an expression for the amount of money William earned last week.
PLEASE HELP IT IS DUE IN 30 min. And explain why
Williams earns $13
(h+3h)*13 = 4h*13 = $ 52h
of the 800 participants in a marathan,120 are running to raise money for a cause. how many participants in out of 100 are running for a cause
question #17 college algebra please help. Picture provided
Answer:
Step-by-step explanation:
I think you either multiply I’m really not sure but that’s my opinion on how to solve this
If you compare the red triangle to the blue triangle are the figures similar, congruent, neither, or it is impossible to tell?
Answer:
Congruent
Step-by-step explanation:
Congruent figures are all figures that have the same number of sides, with the same length, and the angles between the sides have the same values.
Answer:
Congruent
Step-by-step explanation:
The diameter of a circle is 6
inches. What is its
approximate
area?
Answer:
A =28.26 inches^2
Step-by-step explanation:
The diameter is 6 so the radius is d/2 = 3
The area is given by
A = pi r^2
A = pi (3)^2
A = 9pi
Using 3.14 for pi
A = 9 * 3.14
A =28.26 inches^2
Answer:
~28.2743
Step-by-step explanation:
- The formula for a circle's area is: Area= pi * radius^2
1.) We know the diameter is 6, and the radius is ALWAYS half of the diameter so the radius=3.
2.) Now we square the radius and multiply it by pi, which ends up as ~28.2743 as the area.
A student is ordering a flower arrangement. She can choose any combination of tulip and carnations for her flower arrangement , and she does not want to spend more than $45. If tulip cost $5 each and carnations cost $3 each, which inequality represents all possible combinations of x tulips and y carnations ? A. 5x + 3y < 45 B. 5x + 3y <= 45 C. 3x + 5y > 45 3x + 5y <= 45
Helppp!
Answer:
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Step-by-step explanation:
We are supposed to find inequality represents all possible combinations of x tulips and y carnations
Cost of 1 tulip = $5
Cost of x tulips = 5x
Cost of 1 carnation =$3
Cost of y carnations = 3y
We are given that she does not want to spend more than $45.
So, She can spend less than or equal to 45
So, required inequality :[tex]5x+3x \leq 45[/tex]
So, Option B is true
[tex]5x+3x \leq 45[/tex] represents all possible combinations of x tulips and y carnations
Answer:
it would be 5x + 3y <= 45
Step-by-step explanation:
I literally just did this question on my math homework and I got it right .
A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 5 revolutions?
Answer:
10 revolution ot takes
At the school track meet, Dita ran 100 meters at a rate of How long did it take Dita to finish the race?
6.25 meters per second.
16 seconds
093.75 seconds
106.25 seconds
*help asap*
Answer:
the answer is (16 seconds)
Step-by-step explanation:
The time spent by Dita to finish the race is 16 seconds.
What is a word problem?Word problems in mathematics are applications of arithmetic operations, variables, and the use of basic algebra in solving challenges in real life cases.
From the information given;
Dita ran a distance of = 100 meterSpeed used to cover the distance = 6.25 m/sUsing the relation;
[tex]\mathbf{Speed = \dfrac{distance}{time}}[/tex]
[tex]\mathbf{6.25 m/s = \dfrac{100 \ m }{time}}[/tex]
[tex]\mathbf{time = \dfrac{100\ m }{6.25 \ m/s}}[/tex]
time = 16 seconds
The time spent by Dita to finish the race is 16 seconds.
Learn more about word problem here:
https://brainly.com/question/25693822
Which of the following number lines represents the solution to m/-2 - 7 = -9?
Answer:
Step-by-step explanation:
Answer: m=1
Step-by-step explanation:
which of the following is equivalent to the expression below?
(a²-2b²+3)-(4b²+5)+(3a²+4)
A: 4a²-6b²+12
B: 4a²-6b²+2
C: 4a²+2b²+2
D:4a²+2b²+12
Answer:
4a^2−6b^2+2 so B
Step-by-step explanation:
Determine the missing term from the perfect square trinomial. Show ALL work. x2 − ______+ 36
Answer:
12x
Step-by-step explanation:
Given the perfect square trinomial: [tex]x^2-()+36[/tex]
Written in the form [tex](x+k)^2[/tex]
[tex]x^2-()+36=x^2-()+6^2=(x-6)^2[/tex]
[tex](x-6)^2=(x-6)(x-6)\\=x^2-6x-6x+36\\=x^2-12x+36[/tex]
The missing term therefore is 12x.
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
x is 23 degrees
A student spent 4/7 of an hour each evening reading a book about whales if it took the student 9 evenings to finish the book how many hours in all did the student spend reading
5 1/7 6 1/7 5 2/7
Answer:
5 1/7
Step-by-step explanation:
Look at the attachment
20 POINTS NEED HELP ASAP
Answer:
C 11/3
Step-by-step explanation:
x - 4 + 3x = 8 - 2x + 10
4x - 4= -2x + 18
6x = 22
x = 3.67 -> 11/3
Question 1
2 pts
P is between Jand K. The distance between Jand Pis 7 more than 3 times the distance
between P and K. If JK = 55, what is PK?
Answer:
29
Step-by-step explanation:
8+n the answer is 45
Answer:
n=37
Step-by-step explanation:
45-8=37
Answer:
n=37 easy math :)
Together Emily and Charlotte have a total of 60 strawberries Emily eats four times the amount that Charlotte eats how many strawberries does Charlotte eat?
Answer:
12
Step-by-step explanation:
If you were asking how many strawberries it would take to finish all 60, this is the answer, otherwise please rephrase the question.
If Charlotte ate 12 strawberries, you would have to do 12 x 4 which would be four times the amount of strawberries Charlotte ate, 12 x 4 = 48, Emily ate 48 strawberries, 48 + 12 = 60.
Charlotte eats 12 strawberries.
Let the amount of strawberries eaten by Charlotte be represented by x.
Since Emily eats four times the amount that Charlotte eats, then Emily will eat:
= (4 × x) = 4x.
Since Emily and Charlotte have a total of 60 strawberries, then this will be:
4x + x = 60
5x = 60
x = 60/5
x = 12
Therefore, Charlotte eats 12 strawberries.
You can learn more here:
https://brainly.com/question/17161700
What is the least common multiple of 8, 12 and 16?
Answer:
b
Step-by-step explanation:
B
The measure of ZDAB equals 110° The
measure of ZACB equals 20°.
What is mZ ABC?
D
A
Enter your answer in the box
Answer:
Given
¯¯¯¯¯¯¯¯¯
D
A
C
is a straight line, we can say its full measurement is 180°. If we know a segment of this angle,
∠
D
A
B
, is 105°, we can know that the other segment
∠
B
A
C
must equal 75, since
105
+
75
=
180
.
Once we've found the measure of
∠
B
A
C
to be 75°, and given the measure of
∠
A
C
B
to be 35, we can then find the measurement of
∠
A
B
C
.
Since we know that the sum of any triangle's angles is 180°, we can then use these known measurements as I said above.
75
+
35
+
m
∠
A
B
C
=
180
110
+
m
∠
A
B
C
=
180
m
∠
A
B
C
=
70
please help idk the right answer
Answer:
C
Step-by-step explanation:
if you add the value if f(x) to t
What is 1/2 of 7/8? In fraction firm
1/2*7/8=7/16
Answer:
7/16
The required fraction of 1/2 of 7/8 is given as 7/16.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1/2 of 7/8 = 1/2 × 7/8
= 7 / 16
Thus, the required fraction of 1/2 of 7/8 is given as 7/16.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
The parallelogram shown below has an area of 404040 units^2 2 squared.
Find the missing base.
Question:
The parallelogram shown below has an area of 40 units squared.
Find the missing base.
Answer:
See Explanation Below
Step-by-step explanation:
The question is incomplete as the diagram which shows the dimension of the parallelogram is not attached.
However, I'll give a general explanation on how to get the base of the parallelogram. If you follow this explanation, you'll get the right answer regarding your question.
The area of a parallelogram is calculated as thus.
Area = Base * Height
Given that the area = 40 units²
Let's assume the height of the parallelogram is 10 unit.
All you need to do is to plug in these values in the formula above..
Area = Base * Height becomes
40 = Base * 10
Divide both sides by 10
40/10 = Base * 10/10
4 = Base
Hence, Base = 4 units
Or take for instance the height is 5 units.
You'll still follow the simple steps as it is above.
Area = Base * Height becomes
40 = Base * 5
Divide both sides by 5
40/5 = Base * 5/5
8 = Base
Hence, Base = 8 units
Answer:
8 (above explanation)
Step-by-step explanation:
Joaquín just got a new job he makes $1700 a month. he is looking at an apartment for $1500. should he consider this place to live why or why not
Answer: No because if Joaquin uses $1500 out of $1700 to pay his rent for the apartment every month only $200 hundred will be left.He may need to feed himself or buy something important and that amount of money left wouldn't help him.He can't save much money.
Step-by-step explanation:
Since his one-month salary is enough to cover the yearly cost of the house. He can easily use the subsequent monthly allowance for upkeep without feeling the burden of the rent.
Given the following from the given data
Salary of Joaquín = $1,700
If he is looking for an apartment worth $1500, his remaining money for the month will be $$200
If the apartment is a yearly rent, then Joaquin can consider the place to live.
This is so since his one-month salary is enough to cover the yearly cost of the house. He can easily use the subsequent monthly allowance for upkeep without feeling the burden of the rent.
Learn more here: https://brainly.com/question/8647699
can you help me????????????
Answer:
120
Step-by-step explanation:
This shape is made out of two figures, a rectangle with sides 20 and 3.5 and a parallelogram with height 2.5 and base 20. 2.5*20+20*3.5=50+70=120 cubic centimetres. Hope this helps!
pls help me homework
Answer:
The answer is 4 days
Step-by-step explanation:
If the final amount is 12.60 then you would decide that by 3.15 to get to 4 sense 3.15 • 4 would be 12.60
Will give brainliest answer
Answer:
4
Step-by-step explanation:
diameter = 2r
r = radius
radius = 2
2 * 2 = 4
Answer:
4 units
Step-by-step explanation:
the radius of the circle is 2 units. and the radius if half the size of the diameter.
so if we did 2 units × 2, that would give you 4 units.
therefore the answer is
4 units
i hope this helps you! <3
Jack divided his fortune of $92,000 into 8 equal parts. He gave 4 parts to his wife, 1 part to his son and divided the remaining 3 parts equally among 5 charities.
How much more money did his son get than each charity?
Answer:
4,600
Step-by-step explanation:
92,000/8= 11500
11500 x 4= 46000 to his wife
11500 for the son
92000-57500= 34500
34500/5= 6,900 each charity
11500-6900= 4600 is how more he is getting than each charity
Answer:
4600 more money
Step-by-step explanation:
92000 ÷ 8 = 11500
1 part to his son
3(11500)= 34500
34500 ÷ 5 = 6900
11500-6900= 4600
Need Help ASAP it's due today. Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a gas station. Each unit on the graph represents 1 mi. How far is the gas station from Angelica's house? SHOW YOUR WORK. ( The teacher said to Plot a third point, connect the third point to make a right triangle, find the lengths of the legs of the triangle and then use the pythagorean theorem to find the distance between the gas station and Angelica's house). Only answer if you truly know how to solve this please. Will Mark Brainliest
Answer:
About 7.8 miles.
Step-by-step explanation:
We can use the distance formula to find the distance from the gas station to the house.
However, your teacher said to use the Pythagorean Theorem to find the distance.
Going by your teacher's preferred method:(4,3), (10,8), and (10,3) would make a right triangle.
[See Picture]
Angelica's house is at point (4,3). It is 6 units from our new third point.
The gas station is at point (10,8). It is 5 units form out new third point.
The legs are 5 and 6 units. The distance from the house to the gas station would be our hypotenuse.
Use the Pythagorean Theorem to find the length of the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\\text {Replace a and b with the appropriate values: }\\6^2 + 5^2 = c^2\\\text {Solve: }\\6^2 + 5^2 = c^2\\6^2 = 36\\5^2 = 25\\\rightarrow 36 + 25 =c^2\\36 + 25 = 61\\\rightarrow 61=c^2\\\sqrt{61}=\sqrt{c} \\\boxed {7.81024967591=c}[/tex]
7.81024967591 ≈ 7.8
The hypotenuse is about 7.8.
Therefore, the distance between the gas station and Angelica's house should be about 7.8 miles.
Brainilest Appreciated!
Answer:
AG = 7,8
Step-by-step explanation:
Plot the third point at (10,3) and let's call it point B.
Now construct the right sided triangle A B G
With A = (4,3) , B = (10,3) and G = (10,8).
AB is horizontal so subtract the x coordinates of point A and point B. So AB has length 10 - 4 = 6
BG is vertical so subtract the y coordinates of point B and point G. So BG has length 8 - 3 = 5
Now use pythagorean theorem to calculate AG
In any right sided triangle you can use a² + b² = c²
In our case AB² + BG² = AG²
Substitute AB = 6 and BG = 5
6² + 5² = AG²
AG² = 6*6 + 5*5
AG² = 36 + 25
AG = + - SQRT(61)
{Only the + variant of the SQRT has a meaning here.}
AG = 7,81 rounded on one decimal AG = 7,8
