Answers
Answer:
20
Step-by-step explanation:
substitute 3 into 6/x, thats 2
substitute 3 into 2x^2, so that would be 2(3x3) and that would be 18
18+2=20
Reason:
6/3 + 2(3)^2
PEMDAS
6/3 + 2(9)
2 + 18
20
Related Questions
The normal monthly temperatures (°F) for Omaha, Nebraska, are recorded below.
Month
Jan Feb Mar
Apr May
Jun
Jul
Aug
Sep
Oct
Nov
Dec
1
2
3
4
5
6
7
8
9
10
11
12
Temp.
21°
27°
390520620
720
770
740
650
53°
39°
25°
a. Write a sinusoidal function that models Omaha's monthly temperature variation
b. Use the model to estimate the normal temperature during the month of April.
Answers
Answer
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Step by Step Explanation
Given
See attachment for table
Required
Determine the sinusoidal function
The sinusoidal function is represented as:
[tex]y = A \sin(Bx + C) + D[/tex]
Where
[tex]|A| = Amplitude[/tex]
And it is calculated as:
[tex]A = \frac{1}{2}[Highest - Least][/tex]
From the table:
Highest = 77 and Least = 21
So:
[tex]A = \frac{1}{2}[77 - 21][/tex]
[tex]A = \frac{1}{2}[56][/tex]
[tex]A = 28[/tex]
B is calculated as:
[tex]Period = \frac{2\pi}{B}[/tex]
The period is 12 i.e. 12 months
So:
[tex]\frac{2\pi}{B} = 12[/tex]
[tex]B = \frac{2\pi}{12}[/tex]
[tex]B = \frac{\pi}{6}[/tex]
C is calculated as:
[tex]\frac{C}{B} = -4[/tex]
[tex]C = -4 * B[/tex]
[tex]C = -4 * \frac{\pi}{6}[/tex]
[tex]C = -2 * \frac{\pi}{3}[/tex]
[tex]C = -\frac{2\pi}{3}[/tex]
Lastly, D is calculated as:
[tex]D = Least + A[/tex]
So:
[tex]D =21 + 28[/tex]
[tex]D=49[/tex]
So, the function is:
[tex]y = A \sin(Bx + C) + D[/tex]
[tex]y = 28 \sin(\frac{\pi}{6} - \frac{2\pi}{3}) + 49[/tex]
Answer:
y=28 sin (pi/6 t - 7pi/6)+49
Step-by-step explanation:
what is (-10,10) if i dilate it by 1/2
Answers
Explanation: divide the (-10,10) by 1/2 or multiply if the dilation is over 1.
write an equation of the circle with center (8,-6) and radius 2
Answers
Answer:
(x - 8)^2 + (y + 6)^2 = 4.
Step-by-step explanation:
The general equation is:
(x - a)^2 + (y - b)^2 = r^2.
Plugging in the given values:
(x - 8)^2 + (y - (-6))^2 = 2^2
(x - 8)^2 + (y + 6)^2 = 4.
\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} x 4 −2x 3 x−5 ⋅ x 2 −3x−10 x 2 −4
Answers
Answer:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10}[/tex]
Required
Solve
Express [tex]x^2-4[/tex] as difference of two squares
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Factorize [tex]x^4 - 2x^3[/tex]
[tex]\frac{x-5}{x^3(x-2)}\cdot \frac{(x-2)(x+2)}{x^2-3x-10}[/tex]
Cancel out x - 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2-3x-10}[/tex]
Expand [tex]x^2 - 3x - 10[/tex]
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x^2+2x-5x-10}[/tex]
Factorize:
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{x(x+2)-5(x+2)}[/tex]
Factor out x + 2
[tex]\frac{x-5}{x^3}\cdot \frac{x+2}{(x-5)(x+2)}[/tex]
Cancel out x - 5 and x + 2
[tex]\frac{1}{x^3}\cdot \frac{1}{1}[/tex]
[tex]\frac{1}{x^3}\cdot 1[/tex]
[tex]\frac{1}{x^3}[/tex]
Hence:
[tex]\frac{x-5}{x^4-2x^3}\cdot \frac{x^2-4}{x^2-3x-10} = \frac{1}{x^3}[/tex]
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°.
Answers
Complete question :
The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.
Answer:
4.04 meters
Step-by-step explanation:
To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :
Using trigonometry :
Tan θ = Opposite / Adjacent
Tan 22° = x / 10
0.4040262 = x / 10
0.4040262 * 10 = x
x = 4.04
Hence, distance between base of tower and point P on the ground is 4.04 meters
The second term of a sequence is 12 and the common ratio is 2. Which equation gives the nth term of the sequence?
Answers
Answer:
The last: [tex]\bold{f(x) = 6(2)^{x-1}}[/tex]Step-by-step explanation:
Its a geometric sequence: aₙ = a₁ rⁿ⁻¹
f(x) = aₙ
a₁ = a₂÷r = 12÷2 = 6
r = 2
x = n
Therefore:
[tex]f(x) = 6(2)^{x-1}[/tex]
help needed asap will give brainliest
Answers
The ratio of the cost of a ticket to the number of tickets is 15:1. If the Cox family spent $45 on
tickets, how many tickets did they buy?
Answers
They bought 3 tickets! Hope this helps :) ✨
The scores of two school volleyball teams are recorded.
Team A scored the following points per game: 20, 17, 25, 25, 13, 25, 12, 25, 25
and 23.
Team B scored the following points per game: 25, 25, 9, 10, 25, 11, 25, 15, 10
and 25.
What is the mean of Team A?
What is the mean of Team B?
Answers
Time A:
Para obter a média temos que somar todos os pontos e dividir pela quantidade de pontos, ou seja, 20 + 17+ 25+ 25+ 13+
25+ 12+ 25+25 +23= 210/10= 21
A média do time A é 21 pontos.
Time B:
O mesmo procedimento,
25+ 25+ 9+ 10+ 25+
11+25+ 15+10 + 25= 180/10= 18
A média do time B é 18 pontos.
if it was 113.5° in Amarillo and 95.7° in Phoenix how much hotter was it in Amarillo than it was in Phoenix
Answers
Not super good at understanding surface area yet, someone answer it please.
Answers
Choose the correct simplification of the expression a^9 multiplied by b^10/a^2 multiplied by b^7
A^11b^17
1/a^11b^17
1/a^7b^3
A^7b^3
Answers
Answer:
a^7 b^3
Step-by-step explanation:
The question can be interpreted as
[(a^9)( b ^10)] / [(a^2 )×( b ^7)]
Then we can bring the denominator up, which means the power on the denominator will become (-ve) once it comes to the numerator side. Then we have
a^(9-2) × b^(10-7)
We can simplify by performing substraction on the power
= a^7 b^3
Maria's art class is 7 hours long. How long is her class in minutes?
Answers
Answer:
420 minutes
Step-by-step explanation:
You would have to multiply 7 hours by 60 minutes to get 420 minutes.
Hope this helped you out!!
can someone please help me
Answers
Answer:
a ≤ −4 or a ≥ 8
Step-by-step explanation:
Hope This Helps!
My cat, Huckleberry, sneaked out of the house and climbed onto my roof. My dad brought his extension ladder to help get Huckle down. Dad is standing 6 feet from the house, and the angle of elevation from him to Huckleberry is 75 degrees. To what length should the ladder be extended so that Dad can grab Huckle and bring him to safety? Round to the nearest tenth.
Answers
The ladder should be 10 inches in length
Plz help my with this!
Answers
Answer:
D. 22.8 unitsStep-by-step explanation:
As per the graph we have:
MN = 4NP = 9MP is a hypotenuse and MP > NPApproximate perimeter of MNP is:
P > 4 + 9 + 9 = 22P > 22Option D is the only one greater than 22
Is (4, 3) a solution to the inequality 10x + 2y > 3?
Answers
Answer:
Yes
Step-by-step explanation:
10x + 2y > 3
Substitute the point into the inequality
10(4)+2(3) > 3
40+6>3
46>3
This is a true statement so the point is a solution
PLEASE HELP MEEEE
A woman is laying on the ground relaxing and looking up at a plane that is passing by. If the plane’s altitude is 30,000 feet and the woman’s eyes are located 13,800 feet away from a point on the ground directly beneath the plane, what is the angle of elevation for the woman’s line of sight to the plane?
Answers
Answer:
23,500
Step-by-step explanation:
Find the missing side
Answers
Answer:
15
Step-by-step explanation:
its 90 degrees so the other side will be the same
Answer:
b=20
Step-by-step explanation:
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
b^2 = 625-225
b^2 = 400
b = 20
Help please will give brainliest
Answers
Answer:
B
Step-by-step explanation:
4x12=48/2x2=B or 48
Answer:
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this is the answer.
Create a factorable polynomial with a GCF of 6. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answers
Answer:
Here is the answer
Step-by-step explanation:
On paper
can someone please help me is it < 2 or n> 9
Answers
Answer:
n < 2 or n > 9
Step-by-step explanation:
2n + 6(n - 1) < 10 or 3n - 2(n - 3) > 15
2n + 6n - 6 < 10 or 3n - 2n + 6 > 15
8n - 6 < 10 or n + 6 > 15
8n < 16 or n > 9
n < 2 or n > 9
Please help! If you do you get 'Brainliest'
Answers
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
i need help with all of them lololol
Answers
Answer:
(If you need the actual explanations for each one, just ask in comments)
Step-by-step explanation:
1: D
2: G
3: A (60/100 = 6/10 = 3/5)
4: H (Min = 18, Q1 = 19, Median = 23, Q3 = 24, Max = 26)
5: C (2:6 = 1:3; 3:9 = 1:3)
6: J (2:15 = 10:75; multiply each side by 5)
7: A (A & B: 6*2/3 = 4, 4 < 6, 4 not > 6. C: 6*3/2 = 9, 9 not < 6. D: 6*3/3 = 6 not > 6).
find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x
Answers
Answer:
2,6323
Step-by-step explanation:
I have found the area but I'm not sure how to find the perimeter.
Answers
Answer:
20+20+24+24=88
88/2=44
88+44=132
Step-by-step explanation:
If you split it so there is a rectangle and a triangle, you find the perimeter of the rectangle then divide it in half.
list all the equivalent fractions for the 12/20
Answers
Answer:
6/10
9/15
12/20
Step-by-step explanation:
Answer: 6/10, 3/5
Hope it helps!
Can u pls help me with this question
Answers
Answer:
80
Step-by-step explanation:
14 × 20 = 280
1400 - 280 = 1120
1120 ÷ 14 = 80
Expand the expression 3(-2a+3b)
Answers
Answer:
-6a +9b
Step-by-step explanation:
First distribute 3 to terms inside parenthesis
-6a + 9b
Final answer -6a +9b
What is the correct factorization of
6x2 + 24x?
Hurry
Answers
Answer:
6x^2*(x+4)
Step-by-step explanation:
hope this helps! :)