help needed asap will give brainliest
Is (4, 3) a solution to the inequality 10x + 2y > 3?
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
\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
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 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?
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.
Expand the expression 3(-2a+3b)
Answer:
-6a +9b
Step-by-step explanation:
First distribute 3 to terms inside parenthesis
-6a + 9b
Final answer -6a +9b
can someone please help me
Answer:
a ≤ −4 or a ≥ 8
Step-by-step explanation:
Hope This Helps!
list all the equivalent fractions for the 12/20
Answer:
6/10
9/15
12/20
Step-by-step explanation:
Answer: 6/10, 3/5
Hope it helps!
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)
Answer:
Here is the answer
Step-by-step explanation:
On paper
I have found the area but I'm not sure how to find the perimeter.
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.
can someone please help me is it < 2 or n> 9
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
find dy/dx in the following
1) y= sin x+ e^{x}
2) y= e^{x}-1/x+㏒e x
Answer:
2,6323
Step-by-step explanation:
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?
Answer:
23,500
Step-by-step explanation:
Help please will give brainliest
Answer:
B
Step-by-step explanation:
4x12=48/2x2=B or 48
Answer:
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this is the answer.
what is (-10,10) if i dilate it by 1/2
Find the missing side
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
Please help! If you do you get 'Brainliest'
Answer:
D
Step-by-step explanation:
when dealing with percentages move the decimal back two to get its absolute value
if it was 113.5° in Amarillo and 95.7° in Phoenix how much hotter was it in Amarillo than it was in Phoenix
Plz help my with this!
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
Una piramide tiene como base un hexagono regular de 6cm de lado y la altura de la piramide es de 10cm . Calcula la apotema de la piramide (altura de las caras triamgulares) y su area total
Answer:
a) 5.2 cm
b) 296.38 cm²
Step-by-step explanation:
a) Encontrar la apotema
La fórmula se da como:
A = s / 2 bronceado (180 / n)
s = Largo del lado = 6cm
n = Número de lados = 6 porque el polígono es un hexágono
Por eso,
Apotema = 6/2 × bronceado (180/6)
= 6/2 × tan 30
= 5.1961524227cm
Aproximadamente = 5.2 cm
Apotema = altura de las caras triangulares = 5.2cm
b) Superficie total
Área de superficie de una pirámide hexagonal = 3√3 / 2b² + 3b√h² + 3b² / 4
b es la longitud de la base. = 6cm
s es la altura inclinada. = 10cm
3√3 / 2 × 6² + 3 × 6√10² + 3 × 6² / 4
A = 296.38 cm²
i need help with all of them lololol
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).
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.
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 the correct factorization of
6x2 + 24x?
Hurry
Answer:
6x^2*(x+4)
Step-by-step explanation:
hope this helps! :)
The second term of a sequence is 12 and the common ratio is 2. Which equation gives the nth term of the sequence?
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]
Maria's art class is 7 hours long. How long is her class in minutes?
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 u pls help me with this question
Answer:
80
Step-by-step explanation:
14 × 20 = 280
1400 - 280 = 1120
1120 ÷ 14 = 80
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
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
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?
They bought 3 tickets! Hope this helps :) ✨
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°.
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
write an equation of the circle with center (8,-6) and radius 2
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.
Not super good at understanding surface area yet, someone answer it please.