Answer:
[tex]5^{th} term = 126a^5b^4[/tex]
Step-by-step explanation:
[tex]\left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i\\\\(a + b)^9 =\sum _{i=0}^9\binom{9}{i}a^{\left(9-i\right)}b^i\\\\[/tex]
[tex]=a^9 + 9a^8b + 36a^7b^2 + 84a^6 b^3 + 126a^5b^4+ 126a^4b^5+84a^3b^6+ 36a^2b^7+ 9ab^8+b^9[/tex]
[tex]5^{th} term = 126a^5b^4[/tex]
Football is selling boxes of candy as a fundraiser.Ms. South ordered three small boxes and two large box fora total of $36. Chris ordered four small boxes and one large boxes for a total of $30. What is the price of each type of box?
Answer: The price of each small box is $4.8 and the price of each large box is $10.8.
Step-by-step explanation:
Let x = Price of each small box, y= price of each large box.
As per given,
3x+2y= 36 ...(i)
4x+y= 30 ...(ii)
Multiplying 2 to (ii), we get
8x+2y =60...(iii)
Subtract (i) from (iii), we get
5x= 24
x= 4.8
From (ii)
4(4.8)+y= 30
19.2+y=30
y= 10.8
Hence, the price of each small box is $4.8 and the price of each large box is $10.8.
find the missing side of the triangle. no links
Answer:
B
Step-by-step explanation:
15² - 12² = 81
√81 = 9
An Uber driver charges an initial fee of $15 and $0.50 per mile. James needs a ride to Walmart, which is 6 miles away. How much will his Uber ride cost?
a. 15.00 b. 16.00 c. 17.00 d. 18.00
Select the correct answer.
Describe the end behavior of the given function.
$(-) = 0) – 2
O A. As x decreases, (x) approaches 2.
OB.
As x decreases, Ax) approaches negative infinity.
OC. As xincreases, fx) approaches infinity.
OD. As x increases, Ax) approaches -2.
Answer:
answer is a
Step-by-step explanation:
Describe the end behavior of the given function.
$(-) = 0) – 2
O A. As x decreases, (x) approaches 2.
OB.
As x decreases, Ax) approaches negative infinity.
OC. As xincreases, fx) approaches infinity.
OD. As x increases, Ax) approaches -2
Answer:
C.
Step-by-step explanation:
(Use desmos graphing calculator to graph it...)
i need help ASAP!!! please
Answer:
B
Step-by-step explanation:
side angle side
just look at the angle with the red line in the corner and for the side look at the two marks in the same spot you know its right because you only need to flip it for them to look the same
Answer:
C) KL = EF
Step-by-step explanation:
Since this is a SAS problem which is short for Side Angle Side, then that means that if 2 sides and 1 angle of a triangle are congruent to 2 sides and 1 angle of another triangle, then the 2 triangles are congruent.
In the problem given, it already shows us that sides DE and JK are congruent to each other.
As well as angles K and E.
So now all we need are 2 other sides to be congruent, which would be KL and EF.
Considere as seguintes afirmações: I. O inverso de 0,2 é 5. II. O triplo de \frac{2}{5} é \frac{6}{15}. III. A metade de 0,5 é \frac{1}{4}. É(são) verdadeira(s) a(s) afirmação(ões): Apenas a I; I e III; Apenas a III; I, II e III;
Answer:
I e III
Step-by-step explanation:
Recebemos declarações na questão acima para considerar.
Declaração I. O inverso de 0,2 é 5.
Matematicamente, isso é escrito como:
1 / 0,2
0,2 = 2/10
Portanto: 1 ÷ 2/10 = 1 × 10/2
= 5
Afirmação 1 é verdadeira
Declaração II.
O triplo de 2/5 é 6/15.
Triplo de 2/5 = 2/5 + 2/5 + 2/5
= 2 + 2 + 2/5
= 6/5
= 1 1/5
Declaração II é falsa
III. A metade de 0,5 é 1/5
1/2 de 0,5
= 1/2 × 0,5 = 0,25
Convertendo em fração
= 0,25 = 25/100
= 1/4
Declaração III está correta
Portanto, as afirmações verdadeiras são I e III
Evaluate 5 + 6x, when x is 4?
A. 29
B. 23
C. 19
D. 15
Answer:
29
Step-by-step explanation:
Answer:
A) 29
Step-by-step explanation:
Substitute 4 for x and you can solve this
5 + 6x
5 + 6 * 4
5 + 24
29
A linear equation when graphed is a straight line.
true or fales
I know it’s simple but my brain isn’t working, someone please explain this.
pls help me solve this volume problem
Answer:
220
Step-by-step explanation:
First, find the area of the bottom prism.
5x10x3 = 150.
Then find the area of the top prism.
The trapezoid's area is 7, multiply this by 10.
Add your quantities together.
You get 220.
Triangle ABC is translated 5 units to the right and 2 units up. Match the correct
length with the corresponding side after the translation.
Step-by-step explanation:
A'B' = 5
B'C' = 6
A'C'= 2
in translation, the length of sides do not change
You spin the spinner and flip a coin. Find the probability of the compound event. The probability of spinning a number greater than 1 and flipping tails is
Answer:
Step-by-step explanation:
the coin is 1/2
the spinner is 3/4
so
1/2 * 3/4 = 3/8
37.5%
Answers quick plzzzzz
Answer:
y = -5
...
.............
which parent function go through the orgin? select all that apply
A reciprocal
B linear
C quadratic
D Cubic
E cube root
F absolute value
Offering 15 points!
Evaluate.
[tex]\sqrt[3]{-1}[/tex]
a. 1
b. -3
c. undefined
d. -1
The screenshot shows the question, if anyone could help me with this I would be very grateful!
Answer:
its -1 since the equation is all real numbers
Answer:
Your answer is -1.
Step-by-step explanation:
Find the measure of x in each figure
Step-by-step explanation:
40+2x=90°(given in question)2x=90-40x=50/2x=25°stay safe healthy and happy...simplify cos(2x)/ cos(x)-sin(x)
The value of the trigonometric expression cos(2x)/ [cos(x)-sin(x)] will be cos(x) + sin(x) thus option (C) is correct.
What is a trigonometric function?The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.
The trigonometric functions found in the four quadrants, as well as their graphs, domains, and differentiation and integration, will all be understood.
As per the given,
cos(2x)/ [cos(x)-sin(x)]
Since, cosx = cos²x - sin²x
cos(2x)/ [cos(x)-sin(x)] = (cos²x - sin²x)/[cos(x)-sin(x)]
Since, A² - B² = (A + B)(A - B)
(cos²x - sin²x)/[cos(x)-sin(x)] = [cos(x)+sin(x))(cos(x)-sin(x)]/[(cos(x)-sin(x))]
⇒cos(x) + sin(x)
Hence "Trigonometric expression cos(2x)/[cos(x)-sin(x)] value will be sin(x) + cos(x)".
For more information about the trigonometric function,
https://brainly.com/question/14746686
#SPJ2
Explain is this is a right triangle using the Pythagorean Theorem
A seismologist would most likely be found studying...
Group of answer choices
Earthquakes
Volcanoes
Weathering
Erosion
Answer:
Earthquakes and volcanoes
Step-by-step explanation:
Seismologists study earthquakes, volcanoes and their results, they use seismographs to collect data on seismic events
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Have a good day :)
[tex]245 \div 7[/tex]
Answer:
35
Step-by-step explanation:
[tex]245[/tex] ÷ [tex]7[/tex] :-
[tex]245[/tex] ÷ [tex]7 = 35[/tex]
given sin(theta)= 12/13 in quadrant 1 determine sec(theta) PLS HELP ASAP
Answer:
Step-by-step explanation:
in quadrant 1 cos and sec are positive.
cos(θ)=√(1-sin²θ)=√(1-(12/13)²)=√((169-144)/13²)=5/13
secθ=13/5
if f(x)=3x+5 and g(x)=x^2+1, what is the value of (g o f)(x)?
Answer:
9x²+30x+26
Step-by-step explanation:
f(x) =3x+5
g(x) =x²+1
(gof)(x) = g(f(x)) = g( 3x+5) = (3x+5)² +1 = 9x²+30x+25+1 = 9x²+30x+26
After driving
three hours, the Factors
stopped for lunch. The bill for 4
hamburgers and 4 milkshakes was
$12.65. How much change did Ms.
Factor receive from a $20 bill?
Answer:
7.35
Step-by-step explanation:
¿Cuáles son los procedimientos a ambos lados de la igualdad que se deben realizar para calcular el valor de la incógnita x en la siguiente ecuación? 2x+5=7
Answer:
Los procedimientos que se deben realizar para calcular la incógnita x en la ecuación 2x+5=7 son:
El 5 que está sumando a la izquierda del igual, se pasa a restar a la derecha del igual.El 2 que multiplica a x a la izquierda del igual, se pasa a dividir a la derecha del igual.Step-by-step explanation:
Siguiendo los procedimiento descritos en la respuesta, para calcular el valor de la incógnita:
2x + 5 = 7Seguimos el primer paso: el 5 que está sumando a la izquierda del igual, se pasa a restar a la derecha del igual:
2x = 7 - 5Seguimos el segundo paso: el 2 que multiplica a x a la izquierda del igual, se pasa a dividir a la derecha del igual:
[tex]x=\frac{7-5}{2}[/tex]Como puedes ver, así se despejaría la incógnita x y solo faltaría operar los datos en la ecuación para obtener la respuesta:
[tex]x=\frac{2}{2}[/tex][tex]x=1[/tex]El resultado que nos daría la incógnita x sería 1. Podemos probar el resultado en la ecuación original para comprobar el resultado que obtuvimos:
2x + 5 = 72 *(1) + 5 = 72 + 5 = 77 = 7Así, identificamos que los procesos realizados fueron correctos.
How do I find the Q1 and Q3?
0,0,1,2,2,3,4,4,4,4,5,6,6,7,7
Answer:
Q1 = 2
Q3 = 6
Step-by-step explanation:
Mathematically, we have
Q1 = (n + 1)/4 th term
where n is the number of terms
By the count, we have n as 15
Q1 = (15 + 1)/4
Q1 = 4th term
Looking at the arrangement, the 4th term is 2
For Q3
Q3 = 3(n + 1)/4 th term
n = 15
Q3 = 3 * 4 = 12th term
The 12th term is 6
So that is the 3rd quartile
0. REINFORCE The sum of two numbers is 20. The difference between the same numbers is 48. Write this system of equations and then solve it by graphing. Be sure to sketch your graph as well as give the solution.
Answer:
(34, -14)Step-by-step explanation:
Let the numbers be x and y.
The system based on the question is:
x + y = 20x - y = 48The solution is: (34, -14)
See the graph
Let numbers be x and y
x+y=20--(1)x-y=48--(2)Graph attached
Solution is
(34,-14)A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.
Answer: 6.8 inches
Step-by-step explanation:
The sampling distribution is based on the assumption that the ________ hypothesis is ________. Group of answer choices research; true null; false null; true research; confounded
Answer:
True , null
Step-by-step explanation:
Mostly the true hypothesis is the null hypothesis .
We test the true hypothesis , the null hypothesis against the claim provided which is named as alternate hypothesis.
When the false hypothesis is the null hypothesis , type II error is made.
Confounded in statistics means when the alternative explanations cannot be eliminated.But we have the alternate hypothesis in hypothesis testing.
So option 1 is correct
HELLLLPPPP PLEASEEEEEEEE
Answer:
The design is not a parallelogram because the opposite angles are not congruent
PLEASE HELP I HAVE NO CLUE WHAT TO DO
Answer:
3 no=3/5
4 no=-4/7
5 no=2
Step-by-step explanation: