Answer:
yes it is cause it has a slope and stuff
Answer:
yes
Step-by-step explanation:
g)
(Sin 5A - Sin 7A - Sin 4A + Sin 8A)÷
(Cos 4A - Cos 5A - Cos 8A + Cos 7A)=
Cot 6A
We use a similar strategy as in your previous question. Rewrite:
sin(5x) = sin(6x - x) = sin(6x) cos(x) - cos(6x) sin(x)
sin(7x) = sin(6x + x) = sin(6x) cos(x) + cos(6x) sin(x)
→ sin(5x) - sin(7x) = -2 cos(6x) sin(x)
sin(4x) = sin(6x - 2x) = sin(6x) cos(2x) - cos(6x) sin(2x)
sin(8x) = sin(6x + 2x) = sin(6x) cos(2x) + cos(6x) sin(2x)
→ sin(8x) - sin(4x) = 2 cos(6x) sin(2x)
cos(5x) = cos(6x - x) = cos(6x) cos(x) + sin(6x) sin(x)
cos(7x) = cos(6x + x) = cos(6x) cos(x) - sin(6x) sin(x)
→ cos(7x) - cos(5x) = -2 sin(6x) sin(x)
cos(4x) = cos(6x - 2x) = cos(6x) cos(2x) + sin(6x) sin(2x)
cos(8x) = cos(6x + 2x) = cos(6x) cos(2x) - sin(6x) sin(2x)
→ cos(4x) - cos(8x) = 2 sin(6x) sin(2x)
Then
(sin(5x) - sin(7x) - sin(4x) + sin(8x)) / (cos(4x) - cos(5x) - cos(8x) + cos(7x))
= (2 cos(6x) sin(2x) - 2 cos(6x) sin(x)) / (2 sin(6x) sin(2x) - 2 sin(6x) sin(x))
= (2 cos(6x) (sin(2x) - sin(x))) / (2 sin(6x) (sin(2x) - sin(x)))
= cos(6x) / sin(6x)
= cot(6x)
QED
A large company put out an advertisement in a magazine for a job
opening. The first day the magazine was published the company got 90
responses, but the responses were declining by 10% each day.
Assuming the pattern continued, how many total responses would the
company get over the course of the first 19 days after the magazine was
published, to the nearest whole number?
Answer:
C(19)=12 responses
Step-by-step explanation:
Exponential Decay Function
The exponential function is frequently used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function can be expressed as follows:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The company puts out an advertisement for a job opening. Initially, the company got 90 responses to the advertisement. Each day, the responses declined by 10%.
This is an example where the decay model can be used to calculate the responses to the advertisement at the day t.
The initial value is Co=90, the decaying rate is r=10% = 0.10. The model is written as:
[tex]C(t)=90\cdot(1-0.1)^t[/tex]
Calculating:
[tex]C(t)=90\cdot(0.9)^t[/tex]
We are required to calculate the number of responses at day t=19, thus:
[tex]C(19)=90\cdot(0.9)^{19}[/tex]
C(19)=12 responses
Explain how to use the distributive property to find the product (3) 4 1/5
Answer:
[tex]\frac{63}{5}[/tex]
Step-by-step explanation:
Given expression:
(3) 4[tex]\frac{1}{5}[/tex]
The distributive law is mostly applied to multiplication and division which helps to expand a parentheses;
4[tex]\frac{1}{5}[/tex] can be written as [tex]\frac{21}{5}[/tex]
Now;
(3) [tex]\frac{21}{5}[/tex]
With distributive property, we simply multiply the two terms;
3 x [tex]\frac{21}{5}[/tex] = [tex]\frac{63}{5}[/tex]
Answer:
Rewrite 3 ( 4 1 /5 ) as 3 ( 4 + 1 5 ) . Distribute the 3 to get 3(4) + 3 ( 1 /5 ) . Multiply to get 12 + 3 /5 . Then add to get 12 3 /5
Step-by-step explanation:
Anyone know this one ??
Answer:
C- 1/2 squash per month
Have a Good one!
A car travels 266 miles in 7 hours. If it travels at a constant rate, how many miles does the car travel in 1 hour?
A.26 Miles
B.27 Miles
C.34 Miles
D.38 Miles
Answer: D is the right answer
Step-by-step explanation:
A movie theater offers 30% off the price of a movie ticket to students from your school. The regular price of a movie ticket is $8.50. what is the discounted price that you would pay for a ticket?
Answer:
$5.95
Step-by-step explanation:
To get the discounted price, we need to find how much is taken off from the regular price.
x/8.50=30/100
30×8.50=255
255/100=2.55
$2.55
Next, we need to subtract $2.55 from $8.50 to get the discounted price.
8.50-2.55=5.95
$5.95
$5.95 is the discounted price.
I hope this helped! :)
Answer: 5.95 dollars
Step-by-step explanation:
What's the common denominator of 2/3 and 4/9
Answer:
Um, no lo sé, lo siento, solo necesito los puntos
Step-by-step explanation:
Um, no lo sé, lo siento, solo necesito los puntos
Answer:
9
Step-by-step explanation:
common denominator of 2/3 and 4/9
9 is the answer
If you drive 70 miles per hour for 8 hours how far can you drive
Answer:
You could travel 560 miles.
Step-by-step explanation:
To find out the answer you need to multiply 70 by 8.
70 × 8= 560
please help find the area (not cm) i’ll give brainliest
Answer
4.5 centimeters2
Step-by-step explanation:
Answer: 4.5
Step-by-step explanation: To find area, you must multiply the length and width. 3 x 1.5 = 4.5 Hope this helps!
i need help to solve please
Step-by-step explanation:
3x+13+8x+14=180-109
11x+27=71
11x=44
x=4
Kelsey owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Kelsey charges for a bike rental that lasts x hours?
Answer:
y=10+4x
Step-by-step explanation:
Four brothers received the same amount of money to go to the movies. Each boy spent $16. Afterward, the boys had $48 altogether. Write an equation that represents the amount of money m each brother received.
Answer:
Equation is: 4(x - 16) = 48
Amount each received = $28
Step-by-step explanation:
We are told that the foot brothers received the same amount of money to go to the movies.
Let's say they each receive "x" in amount.
Which means total amount is;
x + x + x + x
Now,we are told that each boy spent $16.
Thus,amount left after spending is;
(x - 16) + (x - 16) + (x - 16) + (x - 16) = 4(x - 16)
We are told this amount after spending was $48 altogether. Therefore;
4(x - 16) = 48
Divide both sides by 4 to get;
x - 16 = 48/4
x = 16 + 12
x = $28
3,910 Divided 25? i need help
Answer:
156.4 would be your answer
Step-by-step explanation:
3,910/25
15.6
PLEASE HELP I HAVE A TEST!!A function predicts the number of household online-
devices in the average United States household. Which
domain would be the most appropriate set to use for
this function
Integers
Whole numbers
Rational Numbers
Irrational Number
Answer:
whole numbers probably
I NEED HELP PLEASE!!!
IM BEGGING YOU PLEASE!!
Answer:
B. - 3.5
Step-by-step explanation:
10.99 / 3.14 = 3.5 rounded to the nearest tenth.
This is easy to do, just divide the circumference by 3.14 and that's the radius.
(BTW i love ur shikamaru profile pic uwu)
Are the expressions (3^4)^4 and 3^8 x 3^8 equivalent? I need help ASAP
Answer:
yes
Step-by-step explanation:
(3^4)^4
this is the same as 3^(4x4)
3^16
3^8x3^8
since they are the same base just add the exponent to get
3^16
a number was subtracted from 7 and that difference was the divided by 2. after which the quotient was multiplied by 4. this product was 4. what was the difference
Answer:
Difference is 9-7 = 2
Given number is 9
Step-by-step explanation:
Assume;
Given number is x
So,
Subtracted from 7;
x - 7
Divided by 2
(x-7)/2
Multiplied by 4
[(x-7)/2]4
Product was 4
[(x-7)/2]4 = 4
x-7 = 2
x = 9
Given number is 9
Difference is 9-7 = 2
You are skiing down a mountain with a vertical height of 1200 feet. The distance that you ski as you go from the top down to the base of the mountain is 2900 feet. Find the angle of elevation from the base to the top of the mountain.
Answer:
24.44°
Step-by-step explanation:
The set up will give a right angled triangle.
Given
The length of the hill (hypotenuse) = 2900feet
Vertical height (opposite) = 1200feet(That side is opposite the angle of elevation)
According to SOH;
sin theta = opp/hyp
Sin theta = 1200/2900
Sin theta = 12/29
Sin theta= 0.4138
theta= arcsin(0.4138)
theta = 24.44°
Hence the angle of elevation from the base to the top of the mountain is 24.44°
Write an equation in slope intercept form of the line that passes through the given point
and has the given slope.
(-3,2), m = -3
Answer:
y=mx+b 2=(-3)(-3)+b
2=9+b -7=b
I NEED HELP ASAP! Solve for x.
Answer:
3
Step-by-step explanation:
What is the image of (6,5) under a counterclockwise
rotation of 180°?
Answer:
(-6, -5)
Step-by-step explanation:
For a rotation of 180 degrees no matter the direction, you just flip the sign. In (6, 5) both are positive so you just change them to a negative.
Help me plsssszzzzzzzzzzzzzzzzzzz
Factor: x^2 - 5x - 24
• (X-5)(x-3)
• (x+8)(x-3)
•(x+3)(x-8)
• not factorable
SOMEONE HELP IM BEING TIMED I WILL GIVE BRAINLIEST 6TH GRADE MATH
Answer:
its a
Step-by-step explanation:
Are the ratios 19:10 and 2:1 equivalent?
Answer: No, they are not.
Step-by-step explanation:
Vocabulary How do you know if an equation represents a proportional relationship?
Use the drop-down menu to show your answer.
If an equation can be written in the form
Choose...
, then it shows a proportional relationship.
Answer:
Y = kx
I did the test and got it right, so this is it.
A cube has a side length of 8 inches. Select all values that represent the cubes volume in cubic inches. A. 8^2 B. 8^3 C. 6 x 8^2 D. 6 x 8 E. 8 x 8 x 8
Answer: B. 8^3; E. 8 x 8 x 8
Step-by-step explanation:
From the question, we are informed that a cube has a side length of 8 inches.
To calculate the volume of a cube, we multiply the length given thrice. In this case, the length of the cube is 8 inches. Therefore, its volume will be:
= 8^3
= 8 × 8 × 8
= 512 inches cubed
Therefore, the correct options are:
B. 8^3
E. 8 x 8 x 8
what is the value of x in the function f(x)=3/2x-4 when f(x)=5?
Answer:
3.5
Step-by-step explanation:
3/2(5) - 4
= 1.5(5) - 4
= 7.5 - 4
= 3.5
Hope this helped!
Question 8
The ratio of soccer balls to baseballs is 12 to 15. If there are 4 soccer balls, how many baseballs are there?
Your answer
Answer:
5
Step-by-step explanation:
The perimeter of a triangle is
17
x
−
5
units. One side is
3
x
+
5
units and another is
8
x
−
3
units. How many units long is the third side?
Answer:
[tex]Side\ 3 = 6x - 7[/tex]
Step-by-step explanation:
Given
[tex]Perimeter = 17x - 5[/tex]
[tex]Side\ 1 = 3x + 5[/tex]
[tex]Side\ 2 = 8x - 3[/tex]
Required
Determine the length of the third side
The perimeter of a triangle is calculated as thus:
[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]
Substitute values for Perimeter, Side 1 and Side 2
[tex]17x - 5 = 3x + 5 + 8x - 3 + Side\ 3[/tex]
Collect Like Terms
[tex]17x - 5 = 3x + 8x + 5 - 3 + Side\ 3[/tex]
[tex]17x - 5 = 11x + 2 + Side\ 3[/tex]
Solve for Side 3
[tex]Side\ 3 = 17x - 11x - 5 - 2[/tex]
[tex]Side\ 3 = 6x - 7[/tex]
Hence, the length of the third side is 6x - 7 units