Step-by-step explanation:
Tr+1 = nCr * a^(n-r) * b^r.
Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.
=> 1, 6, 15, 20, 15, 6, 1.
You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.
4. a. Write a story to represent the equation 15 ÷ 1/9 : _______. Solve the equation and complete the story.
b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help.
Answer:
4555
Step-by-step explanation:
32233x222213456765x345665434565
High School Advice Situation:
I am in Engineering 1 rn and I am a freshman and my semester 1 grade is a C and I am struggling, so I am thinking of withdrawing from my elective and go to a different elective which I know I can get an A+ in, but should I, because when I withdrawal I think it shows as an F. Help Please!
Step-by-step explanation:
Which do you enjoy the most?
Can someone help me solve for x and y of this?
Answer:
x = 10
y = 5
Step-by-step explanation:
Since, two lines p and q are the parallel lines and FA is a transversal line intersecting these parallel lines.
ΔAOB and ΔDOC are the similar triangles.
Therefore, by the property of similar triangles, corresponding sides of the similar triangles will be proportional.
[tex]\frac{AO}{OD}= \frac{OB}{OC}[/tex]
[tex]\frac{x}{15}= \frac{8}{12}[/tex]
x = [tex]\frac{15\times 8}{12}[/tex]
x = 10
Similarly, triangles AOB and OEF will be similar.
And by the property of similar triangles,
[tex]\frac{AO}{OF}= \frac{OB}{OE}[/tex]
[tex]\frac{x}{15+y}= \frac{8}{12+4}[/tex]
[tex]\frac{10}{15+y}= \frac{8}{16}[/tex]
8(15 + y) = 160
120 + 8y = 160
8y = 160 - 120
8y = 40
y = 5
30-60-90 please help me find the long side and short side Urgent
Answer:
just download conects
Step-by-step explanation:
Find the measure of the exterior angle.
Answer:
108 degrees
Step-by-step explanation:
From the diagram we are given
Interior angles are 2x + 1 and 63 degrees
Exterior angle = 5x -2
The sum of interior angles is equal to the exterior angle
2x + 1 + 63 = 5x - 2
2x + 64 = 5x - 2
2x - 5x = -2-64
-3x = -66
x = -66/-3
x = 22
Get the exterior angle:
Exterior angle = 5x-2
Exterior angle = 5(22) - 2
Exterior angle = 110-2
Exterior angle = 108 degrees
Hence the measure of the exterior angle is 108 degrees
Write the equation of the line below. Please help
Step-by-step explanation:
The line is a vertical line of the form x = a, where a is a real constant.
Sincw the line passes through the point (-5, 0), the line equation is x = -5.
g(x) = 2x² +16x+35
(a) Write the equation in the form g (x)= a (x - h)2 + k.
Answer:
The equation g(x) = 2(x+4)² +3
(h,k) = (-4,3) and a = 2
Step-by-step explanation:
Step(i):-
Given equation g(x) = 2 x² + 16 x +35
g(x) = 2(x² +8 x ) +35
g(x) = 2(x² +2(4) (x ) +(4)² -(4)²)+35
we know that (a+b)² = a²+2ab+b²
Step(ii):-
g(x) = 2( x+4)² - 2(16) +35
⇒ g(x) = 2(x+4)² - 32 +35
⇒ g(x) = 2(x+4)² +3
comparing g(x) = a (x-h)² +k
(h,k) = (-4,3) and a = 2
Final answer:-
The equation g(x) = 2(x+4)² +3
(h,k) = (-4,3) and a = 2
cos ( 3 x )
sin ( 3 x )
tan ( 3 x )
Find the 37th term of the arithmetic sequence: -38,-8,22,52
Answer:
1042
Step-by-step explanation:
-38,-8,22,52
The common difference is 52 - 22 = 30
a_1 = -38
a_2 = -38 + 30
a_3 = -38 + 2 * 30
a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)
a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)
a_n = -38 + 30(n - 1)
a_37 = -38 + 30(37 - 1)
a_37 = 1042
Companies A and B produce phone chargers. Company A makes 15 phone chargers when Company B makes 20 phone chargers. When Company A makes 30 phone chargers, how many phone chargers does Company B make? Write your answers in the blanks.
Answer:
40
Step-by-step explanation:
triangle abc is an isosceles triangle in which ab=ac what is the perimeter of abc
Answer:
C. 10 + squareroot10 units
Step-by-step explanation:
Write an expression to match each phrase.
the quotient of 4 and e
Answer:
When you divide one number by another, the result is called the quotient. This is true for rational expressions too! When you divide one rational expression by another, the result is called the quotient.
Consider functions mand n.
mix)
m
4
X
3
2
4
1
-5
-3 -1
3
3
or
5
n() 2
1
- 3
1.50
What is the value of xwhen (m o n) (+) = 2
A. -1.5
B. 0
ОО
C.
-3
D. 3
Answer:
c. -3
Step-by-step explanation:
just took the test ;)
in the problem find m<1
Answer:
m∠1 = 124°
Step-by-step explanation:
If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°. Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.
HELP
Given the equation,
y = 1/3x - 4, what is the slope and the y-intercept?
m= 4 and b= 1/3
m= -4 and b=1/3
m= 1/3 and b= 4
m= 1/3 and b= -4
Answer:
m = 1/3 and b = - 4
Step-by-step explanation:
The equation already gives the answer as the equation is in slope-intercept form.
[tex]y = mx + b[/tex]
Where m = slope and b = y-intercept.
From the equation —
[tex]y = \frac{1}{3} x - 4 \\ m = \frac{1}{ 3} \\ b = - 4[/tex]
Therefore, our slope is 1/3 and y-intercept is - 4.
What is the value of 4 + 23. 3? Show your work.
Answer:
27.3
Step-by-step explanation:
4
23.3 +
27.3
You can align the numbers over each other and simply add them.
what is the measurement of 40.382052 degrees in minutes, degrees and seconds
Answer:
40 degrees
22 min's
55.39 sec's
Step-by-step explanation:
1. The bill at a restaurant is $65.38. The waiter typically receives a 15% tip.
How much is the total bill?
Answer:
75.187 $
Step-by-step explanation:
I did it this way:
65.38$ : 100% = X : 115%
100X = 65.38 x 115
100X = 7518.7
X = 7518.7 ÷ 100
X = 75.187
Solve for a: b − 2a = c
Answer:
[tex]a=-\frac{c-b}{2}[/tex]
Step-by-step explanation:
Solving for the variable [tex]a[/tex], given that :
[tex]b-2a=c[/tex]
We can first start start by subtracting [tex]b[/tex] from both sides of the equation:
[tex]-2a=c-b[/tex]
Now, we can divide both sides of the equation by the coefficient of [tex]a[/tex], which would be [tex]-2[/tex]:
[tex]a=\frac{c}{-2}-\frac{b}{-2}[/tex]
Applying the fraction rule [tex]\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}[/tex]:
[tex]a=\frac{c-b}{-2}[/tex]
Then, apply the fraction rule [tex]\frac{a}{-b} =-\frac{a}{b}[/tex]
[tex]a=-\frac{c-b}{2}[/tex]
Help plz
For khan academy
Answer:
-18y =1
It is simple addition
(((please answer asap!!))).
25 gallons!have a nice day
Answer:
25 gallons of water
Step-by-step explanation:
1 minute= 2.5 gallons
10 minutes = 2.5 x 10
= 25 gallons
If the measure of ABC is 57º, what is the measure of AB?
Answer:
114°
Step-by-step explanation:
The measure of an arc is double the measure of the angle between the chord and the tangent line.
In a random sample of 145 people, 112 said that they watched educational TV. Find the 93% confidence interval of the true proportion of people who watched educational TV.
Answer:
The 93% confidence interval of the true proportion of people who watched educational TV
(0.73716 , 0.80684)
Step-by-step explanation:
Step(i):-
Given sample size 'n' = 145
A random sample of 145 people, 112 said that they watched educational TV.
Sample proportion
[tex]p^{-} = \frac{112}{145} = 0.772[/tex]
Step(ii):-
The 93% confidence interval of the true proportion of people who watched educational TV
[tex](p- Z_{0.07}\sqrt{\frac{pq}{n} } , p + Z_{0.07} \sqrt{\frac{pq}{n} } )[/tex]
[tex](0.772- 1.427\sqrt{\frac{0.772X0.228}{145} } , 0.772 + 1.427 \sqrt{\frac{0.772X0.228}{145} } )[/tex]
( 0.772 - 0.03484 , 0.772 + 0.03484)
(0.73716 , 0.80684)
Final answer:-
The 93% confidence interval of the true proportion of people who watched educational TV
(0.73716 , 0.80684)
Evaluate the expression (25)=
Answer:
?? im really confused sorry i dont think you finished the question
What is the slope of the line with points A and B?
7/3
-7/3
-3/7
3/7
Answer:
3/7
Step-by-step explanation:
Answer:
it's 3/7 the guy/gal above me is correct, as is goes 3 up then 7 to the right and is positive
Step-by-step explanation:
When ringing up a customer, a cashier needs 27 seconds to process payment as well as 3 seconds to scan each item being purchased. If it takes 45 seconds to ring up a customer, how many items are being purchased?
Answer:
There are 4 items being purchased
pls help i don’t get it , ill mark brainlist
Answer:
2 Radical 50
Step-by-step explanation:
Now we need to reduce the 100,since 2 is not reducible its automatically goes outside the radical. To reduce the 100 we can multiply 50 times 2.You can see now that the 2 in the radical is also not reducible so that also has to go outside the radical. When you get two numbers that are alike you don't necessarily combine them but only use one of them.
If 2.29 x 19.79 = 45.3191, then without actual multiplication the value of 0.0229 x 1979 is?
Answer:
The answer remains the same (45.3191)
Step-by-step explanation:
0.029 is 100 times smaller than 2.29 but 1979 is 100 times bigger than 19.79. The 100’s cancel each other out so the answer remains the same.
20. (01.03 MC)
What is the simplified expression
? (1 point)
Answer:
[tex]\displaystyle 3^2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Exponential Rule [Dividing]: [tex]\displaystyle \frac{b^m}{b^n} = b^{m - n}[/tex]Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{3^3 \cdot 3^3}{3^4}[/tex]
Step 2: Simplify
[ER] Multiply: [tex]\displaystyle \frac{3^{3+3}}{3^4}[/tex]Add Exponents: [tex]\displaystyle \frac{3^6}{3^4}[/tex][ER] Divide: [tex]\displaystyle 3^{6 - 4}[/tex]Subtract Exponents: [tex]\displaystyle 3^2[/tex]Olivia is making scarves each score will have seven rectangles and 6/7 right angle will be purple high before rectangles does she need for three scarves
Answer: 6 purple rectangles
Step-by-step explanation: We know that each scarf will have 5 rectangles and 2/5 of the rectangles will be purple: 2/5 * 5 = 2. It means that each scarf will have 2 purple rectangles. And for 3 scarves : 3 * 2 = 6. Answer: She needs 6 purple rectangles.
How does the graph of g(x) = 3X – 2 compare to the graph of f(x) = 3X?
The graph of g(x) is a translation of f(x) 2 units left.
The graph of g(x) is a translation of f(x) 2 units right.
O The graph of g(x) is a translation of f(x) 2 units up.
The graph of g(x) is a translation of f(x) 2 units down.
Using translation concepts, it is found that:
The graph of g(x) is a translation of f(x) 2 units down.
---------------------------------------------
Translating a function f(x) a units down is the same as finding f(x) - a.
---------------------------------------------
In this question:
[tex]f(x) = 3x[/tex][tex]g(x) = 3x - 2 = f(x) - 2[/tex]Thus, g(x) is f(x) translated 2 units down, and the correct option is:
The graph of g(x) is a translation of f(x) 2 units down.
---------------------------------------------
At the end, the graph is given, with f(x) in red and g(x) in blue.
A similar problem is given at https://brainly.com/question/23901976
Answer:
simply fourth option.
Step-by-step explanation: