Answer:
The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.
Plsss helpppp worth 100 points + other 2 questions
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function. (1st picture)
a) What is the phase shift, c, of this curve?
b) What is the vertical shift, d, of this curve?
c) What is the amplitude, a, of this curve?
d) What is the period and the frequency factor, b, of this curve?
e) Write an equation using the cosine function that models this data set.
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to model the curve using the sine function.
(4.5, 2), (1.5, 22)
a) What is the vertical shift, d, of this curve?
b) What is the amplitude, a, of this curve?
c) What is period and the frequency factor, b, of this curve?
d) Write an equation using the sine function that models this curve.
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Answer:
1.)
A.) phase shift is c = 6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y = -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x - 6)) - 21
2.)
Answer:
A.) Vertical shift is 12 units down
B.) The amplitude is 10
C.) The period is 6 and the frequency factor is pi/3
D.) Equation: y = 10sin(pi/3(x)) + 12
Step-by-step explanation:
a + b = 0 Which of these is equal to b?
0
1/a
a
-a
Please help!
Answer:
The answer is -a
Step-by-step explanation:
from equation,
[tex]a+b=0\\=>b=0-a[/tex]
∴[tex]b=-a[/tex]
Therefore, -a is equal to b
hope you have understood this....
pls mark my answer as the brainliest
Evaluate (2-3)(4) - 923
Tyron made 60 cakes. He gave 20% of his cakes to Ana . And 1/6 of his cakes to Dora. What fraction of the 60 cakes does he have left?
Answer:
19/30
Step-by-step explanation:
Total cakes made by Tyron = 60
Cakes given to Ana = 20% of 60
[tex]=\dfrac{20}{100}*60\\\\= 2*6\\\\= 12 \ cakes[/tex]
Number of cakes given to Dora= [tex]\dfrac{1}{6}*60=10[/tex]
Remaining cakes = 60 - ( 12 +10)
= 60 - 22
= 38 cakes
Fraction of left cakes = [tex]\dfrac{38}{60}=\dfrac{19}{30}[/tex]
V=1/3πr²(h-1) find h
Answer:
[tex]h=\displaystyle \frac{3V}{\pi r^2}+1[/tex]
Step-by-step explanation:
Hi there!
[tex]V=\displaystyle\frac{1}{3} \pi r^2(h-1)[/tex]
Divide both sides by [tex]\displaystyle\frac{1}{3} \pi r^2[/tex]:
[tex]\displaystyle \frac{V}{\displaystyle\frac{1}{3} \pi r^2}=(h-1)[/tex]
[tex]\displaystyle \frac{3V}{\pi r^2}=h-1[/tex]
Add 1 to both sides:
[tex]\displaystyle \frac{3V}{\pi r^2}+1=h[/tex]
I hope this helps!
Find the perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), and T(-3,-2)
The perimeter is blank units
Plz ASAP!!!
Answer: The perimeter is 16 units
Step-by-step explanation:
can someone please help me find the domain and range
Answer:
the domains are x axis or intercepts and range is y axis or intercepts
The answer if any body knows it
Answer:
[tex]A=\pi(336)[/tex]
[tex]A=1055.575[/tex]
Step-by-step explanation:
1. Approach
One is given a prism. The base of the prism is a quarter of a circle, the prism's length is also given. The easiest method to find the volume of the prism is to find the area of the quarter of the circle, then multiply the result by the length of the prism.
2. Find the area of the quarter circle
The following formula can be used to find the area of a circle,
[tex]A_c=(\pi)(r^2)[/tex]
Since one is trying to find the area of a quarter of a circle, one must multiply this formula by ([tex]\frac{1}{4}[/tex]). Please note that the parameter (r) represents the radius of the circle or the distance from the center of the circle to the circumference or outer edge of the circle. The parameter ([tex]\pi[/tex]) represents the number ([tex]3.1415...[/tex]).
[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]
Substitute the given values into the formula and simplify to evaluate,
[tex]A_c=\frac{1}{4}(\pi)(r^2)[/tex]
[tex]A_c=\frac{1}{4}(\pi)((8)^2)[/tex]
[tex]A_c=\frac{1}{4}(\pi)(64)[/tex]
[tex]A_c=(\pi)(16)[/tex]
[tex]A_c\approx 50.2655[/tex]
3. Find the volume of the prism
Now multiply the area of the quarter circle by the length of the prism to find the volume of the prism. Note that the parameter (l) represents the length of the prism,
[tex]A=A_c(l)[/tex]
Substitute and simplify to evaluate,
[tex]A=(\pi)(16)(21)[/tex]
[tex]A=\pi(336)[/tex]
[tex]A=1055.575[/tex]
What is the value of f(x) when X=-3
f(x) = 2x2 + 4x+10
A. -14
B. -8
C. 16
D. 34
Given (x – 1)2 = 50, select the values of x.
x=-49
x=51
x=1+5sqrt{2}
x=1-5sqrt{2}
Answer:
C and D.
Step-by-step explanation:
We want to solve the equation:
[tex](x-1)^2 = 50[/tex]
We can take the square root of both sides. Since we are taking an even root, we need plus/minus:
[tex]\displaystyle (x-1) = \pm\sqrt{50}[/tex]
Note that:
[tex]\sqrt{50} = \sqrt{2\cdot 5^2} = 5\sqrt{2}[/tex]
Hence:
[tex]\displaystyle (x - 1) = \pm5\sqrt{2}[/tex]
And by adding one to both sides:
[tex]\displaystyle x = 1 \pm 5\sqrt{2}[/tex]
In conclusion, our answers are both C and D.
PLEASE show all work!!!
If the base of a rectangle is 28 cm and the area is 588 cm^2, what is the height of the rectangle?
The base of the rectangle , b = 28 cm
The area of the rectangle , A = 588 cm^2
Therefore , the height of the rectangle , h = A/b
=588/28 cm = 21 cm .
Without simplifying, select all the expressions that will represent a rational number.
A. 4/23+3/√9
B. 4/23−4/√8
C. 4/23×3/√9
D. 4/23÷4/√8
E. 4/23×8/√3
Please help me with this question!!!!
Answer:
A. 4/23+3/√9
C. 4/23×3/√9
[tex].[/tex]
23 - C<6
I cannot find the answer can someone help me?
Answer:
C > 17
Step-by-step explanation:
23 - C < 6
-23 -23
-----------------
-C < -17
multiply both sides by -1
(-c) (-1) > (-17) (-1)
C > 17
three less than twice a number is fifteen
what is the answer?
Answer:
2X–3 =15
2X=15+3
2X=18
X=18/2
X= 9
I hope I helped you^_^
Answer:
18
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Solve x4 − 4x2 − 12 = 0.
Answer:
x^2+2=0 or x^2−6=0
Step-by-step explanation:
x^4-4x^2-12=0
(x^2+2)(x^2−6)
x^2+2=0 or x^2−6=0
Answer:
x=6
Step-by-step explanation:
Hope It Help!
Thanks
does this form a right triangle 8,10,6
Answer:
Yes, it does. We can check by using the Pythagorean theorem (P.t.).
P.t.: a^2 + b^2 = c^2
a = 6, b = 8, c = 10
6^2 + 8^2 = 10^2
36 + 64 = 100
100 = 100
Brainliest, please!
Answer:
Step by step answer.
Yes
a^2 + b^2 = c^2
8^2 + 6^2 = 10^2
64 + 36 = 100
100 = 100
The Pythagorean Theorem works. C is always assumed to be the hypotenuse because it is the longest line It's position does not matter. If you did the problem like this
6^2 + 10^2 = 8^2
Of course this would not work, but it would also disobey the convention that c is the longest side.
HELP PLZ
The running back for the Southern High School wears his lucky number
48
on his jersey. During his last three games, he carried the ball 58 yards, 49
yards, and
53 yards. What was his total yardage for those last three games. *I have to use the CUBES method so plz show you using that method*
Answer:
160 yards total
Step-by-step explanation:
https://i1.wp.com/caffeinequeenteacher.com/wp-content/uploads/2014/12/cubes-math-strategy-for-word-problems-blog-image.jpeg?resize=1032%2C1536&ssl=1 that link show you what cubes method is. You can take my answer and put it into cubes method form.
please please help me if for my homework
Answer:
89/100. Hope this helped.
Step-by-step explanation:
Which point is located at -0.905?
В.
H
-0.9
HHH
-0.8
-1
Choose 1 answer:
A
Point A
B.
Point B
Point C
Point D
Answer:
point b is located at -0.905 . If it was -0.95 then it would be point A
Answer:
point B
I hope it's helps you
سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?
Answer:
3cm
Step-by-step explanation:
A particular satellite is 15 m wide
Model of it was built with a scale of 1 cm: 5 m
=> scale of the model will be: 1/500cm and A particular satellite is 1500 cm wide
=>1500*1/500=3(cm)
f(x) = -3x2 + 3x + 7
Find f(8)
Answer:
f(8) = -161
Step-by-step explanation:
f(x) = -3x^2 + 3x + 7
f(8) = -3(8)^2 + 3(8) + 7
f(8) = -192 + 24 + 7
f(8) = -161
ILL MARK BRAINIEST IF YOU DO THIS RIGHT!!!
Answer:
Company D is the correct choice. With a flat rate of $150 plus the hourly fee of $5, you add the hourly to the flat fee. So in this case, $150 + 7($5) = $185. This comes out to be the lowest price out of the 4 options provided.
Step-by-step explanation:
I derped. I'm sorry. Here is the answer as an actual answer :)
Answer:
Company C
Step-by-step explanation:
Find a16 of the sequence 1, 6, 11, 16, ....
A. 81
B. 66
C. 76
D. 71
Answer:
C. 76
Step-by-step explanation:
Since the numbers add up by 5, you can use this equation. 5x-4. Plug in 16 for x to get the answer which is 76.
How many names would be said if in a room of 875 people each said everyone name?
Answer:
765625
Step-by-step explanation:
because 875x875 is 765625
Answer:
765,625 names if each says their own name, 764,750 if they don't. (Although, if you wanna get technical, only 875 names are being said, since they're repeating the same names over and over again)
Step-by-step explanation:
Alrighty, this is complicated. Just to make it easier, we're going to switch the word "names" to "words."
There are 875 people in the room, and each one of them is saying 875 words (assuming it includes their own name). So to figure out how many words would be said, you multiply 875 by 875, which gives you 765,625 words. If they say everyone's name EXCEPT their name, then subtract 875, which gives you 764,750.
5/12 divided then turned into decimal and rounded near hundredth
[tex]\\ \sf\longmapsto \dfrac{5}{12}[/tex]
[tex]\\ \sf\longmapsto 0.4166[/tex]
Round to nearest thousand[tex]\\ \sf\longmapsto 0.417[/tex]
Round to nearest hundredth[tex]\\ \sf\longmapsto 0.42[/tex]
Step-by-step explanation:
0.417 round to the nearest hundredth
can someone help me please?
An exponent is added to a term when the term is multiplied by itself. The exponent s value is the number of times the term is multiplied by its self.
There are 2 a’s so a x a = a^2
There are 3 b’s so you have b^3
There are 2 c’s so it is c^2
The equation becomes: a^2 x b^3 x c^2
Answer:
[tex]a \times a \times b \times b \times b \times c \times c = {a}^{2} \times {b}^{3} \times {c}^{2} \\ thank \: you[/tex]
(7-4) + 17 / -14 + 2 x 5
Answer:
165/14
Step-by-step explanation:
(7-4) + 17 / -14 + 2 x 5
3 + 17/-14 + 2 x 5
3 - 17/14 + 2 x 5
3 - 17/14 + 10
165/14
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 1.1 feet long, if the remaining piece needs to be 2.30 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
Answer:
The board should be 4.7 feet long.
Step-by-step explanation:
To find the remaining piece, you just multiply 1.1 by 2.3 which is 2.53. That's the length of the remaining piece.
Then you add all the pieces together.
1.1+1.1+2.53 =
4.73
Round and add label.
4.7 feet
Find the area of a cell phone screen with an 8 inch diagonal that has an aspect ratio of 2:3.
Round answer to the nearest square inch.
I just need some help in math. This problem specifically
Answer:
∠ ABD = 37° , ∠ DBC = 58°
Step-by-step explanation:
∠ ABD + ∠ DBC = ∠ ABC , substitute values
2x + 23 + 9x - 5 = 95 , that is
11x + 18 = 95 ( subtract 18 from both sides )
11x = 77 ( divide both sides by 11 )
x = 7
Then
∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°
∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°
Step-by-step explanation:
Here are all the steps. First, you need to find the value of x . After finding x , just put the answer in the equation and calculate it .