solución:
A=1450cm²
~~~~~~~~~~~~~
Use the binomial formula to find the coefficient of the q^4 p^17
term in the expansion of (29+p)^21
Recal the binomial theorem:
[tex]\displaystyle (a+b)^n = \sum_{k=0}^n \binom nk a^{n-k} b^k[/tex]
Then
[tex]\displaystyle (2q+p)^{21} = \sum_{k=0}^{21} \binom{21}k (2q)^{21-k} p^k = \sum_{k=0}^{21} \binom{21}k 2^{21-k} q^{21-k} p^k[/tex]
We get the q⁴p¹⁷ term when k = 17, and its coefficient would be
[tex]\dbinom{21}{17} 2^{21-17} = \dfrac{21!}{17!(21-17)!} 2^4 = \dfrac{21\cdot20\cdot19\cdot18}{4\cdot3\cdot2\cdot1}\cdot2^4 = \boxed{95,760}[/tex]
An operation is defined as p*q=-5q+p2 evaluate. 2*(7*3)
Answer:
- 166
Step-by-step explanation:
First step is to evaluate 7*3
7*3 ( with p = 7 and q = 3 )
= - 5(3) + 7²
= - 15 + 49
= 34
Now evaluate
2*34 ( with p = 2 and q = 34 )
= - 5(34) + 2²
= - 170 + 4
= - 166
You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?
Answer:
your friend is faster.
Step-by-step explanation:
2 km in 12 min means 3 km in 18 min.
you friend jogs those same 3 km in 16.5 min, so he or she is faster.
Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а
Answer:
A≈ 268.76 sq cm.
Step-by-step explanation:
sine 27 = opposite side/hypotenuse
sine 27 = x/40
sin 27(40) = x
18.15961999 =x
18.16 = x
A = 1/2(29.6)(18.1596199)
A = 268.7623759
A≈ 268.76 sq cm.
i don't know what this is
Answer:
Me U Hungry Hungry Me Im Mad Me U Angry Me U Way Mad U Talk Mad Me Angry U:(
Step-by-step explanation:
False
True
Ture
False
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
Find the measure of each angle indicated.
Answer:
alot of 5
Step-by-step explanation:
−5 + 6 × 5/2 + 56 ÷ ( −8 )
Answer:
3
Step-by-step explanation:
use the GCF to factor 16+6
Answer:
2 x (8 + 3)
Step-by-step explanation:
b) 16 + 6 = 2 x (8 + 3)
=> 22 = 2(11)
=> 22 = 22
Therefore, 2 x (8 + 3) is your answer.
What is the solution to the system of equations?
y = 2x -1
y = -x +5
x= −2 and y=3
I can't explain this very well, sorry.
train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train
PLEASE HELP EMERGENCY what is the solution to the equation ^3 square root 2x+5 =5
Answer:
60
Step-by-step explanation:
[tex] \sqrt[3]{2x + 5} = 5 \\ (\sqrt[3]{2x + 5} = 5) ^{3} \\ 2x + 5 = 125 \\ 2x = 120 \\ x = 60[/tex]
what is the formula for surface area of a pyramid?
what is the forumla for surface area of a square
for pysamid is ph+B2
hope it helps
What is the slope for this table?
what is the eqausion for 45 to 78
Answer:
23?
Step-by-step explanation:
78 minus 45 equals 23
This is the only reasonable answer I can decipher from your question.
what is the solution of the equation 9x+12=39
Answer:
X=3
Step-by-step explanation:
because 39-12=27 and 9x3=27 and 27+12=39
Answer:
x=3
Step-by-step explanation:
9x+12=39
9x=27
x=3
Jessie typed the first 300 words of her essay in 12 minutes. Then she got tired and
typed the remaining 300 words in 15 minutes. What was the average speed of Jessie's
typing?
Answer:
whats 12x15
Step-by-step explanation:
Answer:
22.5
Step-by-step explanation:
300/12 = 25
300/15 = 20
25 and 20 average = 22.5
4. Elie took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each. How much did she have left at the end of the trip?
Answer:
$16
Step-by-step explanation:
32×5=160
6×4=24
160+24=184
200-184=16
Elie was left with $16 at the end of the trip
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Elie who took $200 to spend during summer vacation. She spent $32 a day for 5 days. Then she bought gelato for her and three friends for $6 each.
Assume that she is left with $[x]. Then, we can write the equation as -
x = 200 - {(32 x 5) + (6 x 4)}
x = 200 - {160 + 24}
x = 200 - 184
x = 16
Therefore, Elie was left with $16 at the end of the trip.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
PLSSSSSSS HELPPPPPPPP ASAPPPP
Answer:
Answer should be choice 4
Step-by-step explanation:
What is the slope in the equation y = 2/5x - 6?
Answer:
2/5
Step-by-step explanation:
y=2/5x-6
m=2/5
y=mx+b
Slope: 2/5
y-intercept: 6
Step-by-step explanation:
Just Did Now, Am not Really good at asking questions
Give the simplified radical form for each side length requested.
Pls answer only if you can explain and if your sure it’s the right answer.
I need help in understanding how to work it myself so please make sure you explain well.
Answer:
See belowStep-by-step explanation:
30×60×90 right triangle has side ratios as:
s : l : h = 1 : √3 : 2, where s- short leg, l - long leg, h - hypotenuse45×45×90 right triangle has side ratios as:
l : l : h = 1 : 1 : √2, where l- legs, h- hypotenuseIf you know one of the sides its easy to find the missing ones.
a) 30×60×90 right triangle
Given l = 12s : 12 : h = 1 : √3 : 2CB = s = 12 / √3 = 12√3/3 = 4√3 AB = h = 2s = 2*4√3 = 8√3b) 45×45×90 right triangle
Given l = √22BC = l = √22AB = l√2 = √22×√2= √44 = 2√11c) 30×60×90 right triangle
Given h = 20√6s : l : 20√6 = 1 : √3 : 2BC = s = h/2 = 20√6/2 = 10√6AC = l = s√3 = 10√6×√3 = 10√18 = 10×3√2 = 30√2What is square root of 27/4 to the nearest interger
- BRAINLIEST answerer
Simplify the expression.
Answer:
[tex]21x^{2}[/tex]
Step-by-step explanation:
It would be 3x*7x
3x*7x
=21x*x
=[tex]21x^{2}[/tex]
Answer:
21x^2 ( twenty-one x squared)
Step-by-step explanation:
Graph: y < 1/3x+1/2 can someone graph this on a actual graph for me
Answer:
here you go
Step-by-step explanation:
i have added y < 1/3x+1/2 --> this shows more of range so i also attached what y = 1/3x+1/2 would look like
next time use this -
search up: desmos graphing calculator
5. How is each centimeter on a ruler further divided?
tenths
fourths
sixteenths
O eighths.
Suppose that a department contains 7 men and 15 women. How many ways are there to form a committee with six members if it must have more women than men
Answer:
7502040
Step-by-step explanation:
you can have 6 women,5 women and 1 men,4 women and 2 men,
in first case,you can place women in 15*14*13*12*11*10 ways
in second case
15*14*13*12*11*7
and in third case
15*14*13*12*7*6
and you need to sum all this numbers
three are 6 blades on each windmill. how many total blades are on 7 windmills? use a fives fact to solve
Answer: 42 I think
Step-by-step explanation:
I did 6 times 7
find 50% of 20
Find the answer I need it for Get More Math
Answer:
10
Step-by-step explanation:
1/2 of 20 is 10
Answer:
10
Step-by-step explanation:
radius of a circle with 11,304 circuference
Answer:
1799.08748
Rounded version: 1799
Step-by-step explanation:
Report me if its wrong mark me Brianliest if its right.
please help me with this soon much appreciated.
Answer:
1 : 2
Step-by-step explanation:
this is a 30-60-90 triangle which is a special right triangle. the ratio of the sides is x: x*sqrt(3): 2x, in the order short leg: long leg: hypotenuse. so the ratio of the short leg to the hypotenuse is x:2x or 1:2
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
Answer:
$1.75Step-by-step explanation:
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
2m = 200 cm
200 : 10 = 35 : x
x = 10 * 35 : 200
x = 1.75