Answer:
[tex](y + 6 = x) \times (x - 6 = y) = {40}^{2} feet[/tex]
Step-by-step explanation:
[tex](y + 6 = x) \times (x - 6 = y) = {40}^{2} feet \\ 6 \times 6 = 36 \\ 40 - 36 = 4 \\ (4 + 6 = 10) \times (10 - 6 = 4) \\ 10 \times 4 \\ = 40[/tex]
Find the value of n that satisfies 2(n+1)! + 6n! = 3(n+1), where $n! = n\cdot (n-1)\cdot (n-2) \cdots 2\cdot 1$.
Answer:
[tex]n = 5[/tex]
Step-by-step explanation:
Given
[tex]2(n+1)! + 6n! = 3(n+1)![/tex]
Required
Find n
Simplify (n + 1)!
[tex]2(n+1)*n! + 6n! = 3(n+1)*n![/tex]
Factorize
[tex]n![2(n+1) + 6] = 3(n+1)*n![/tex]
Divide both sides by n!
[tex]2(n+1) + 6 = 3(n+1)[/tex]
Open brackets
[tex]2n + 2 + 6 = 3n + 3[/tex]
[tex]2n + 8 = 3n + 3[/tex]
Collect like terms
[tex]2n - 3n = 3 -8[/tex]
[tex]-n =-5[/tex]
Multiply both sides by -1
[tex]n = 5[/tex]
A set of nine data points is shown below.
8, 11, 12, 10, 9, 7, 5, 3, 9
Which statement is true if a tenth data point of 45 is added to the data set?
А
The mean and median will both increase.
B
The mean will increase and the median will decrease.
с
The mean will increase and the median will remain the same.
D
The mean and median will both decrease.
SED
Answer:
C.
Step-by-step explanation:
Reorder the data set, from least to greatest.
3, 5, 7, 8, 9, 9, 10, 11, 12
Mean: 8.2 -> you get this by adding up all the numbers in the data set by how many numbers in the data set. For example, 3+5+7+8+9+9+10+11+12= 74 divide by 9 (the numbers in the data set) = 8.2 (repeated infinitely).
Median: 9 -> you get this by finding the number in the middle of the data set, which is why you have to reorder the data set for the beginning to make this easier.
Mean (with 45): 11.9 -> 119 when you add up all the numbers, then divide by 10 because that's have many numbers in the new data set.
Median (with 45): 9 -> When there are two numbers in the middle of the data set, add them up and divide by two. For example, 9+9=18/2= 9
Answer: C.
Which of the following is an arithmetic sequence?
A. 0, 3, 8, 15, 24, 35, ..
B. 9, 4, -1, -6, -11, -16, ...
C. 1, 3, 6, 10, 15, 21, ..
.
D. -1, 0, 1, 0.3, 0, ...
Answer:
B is an arithmetic sequence because the number that you add or subtract between each number has to match
Name the two values the square root is in between.
50
a 2 and 3
b 5 and 6
C 7 and 8
d 10 and 11
Continent
Number of cars produced
Africa
636 519
Asia/Oceania
45 800 878
Europe
19 726 405
North America
21 136 313
South America
4 288 654
How many more cars were produced in North and South America
than in Europe and Africa?
Answer:
5062043
Step-by-step explanation:
add the numbers for north and south America, add the numbers for Europe and Africa, and than subtract them. (north America+south America) - (Europe + Africa) = answer
answer quick please look at attachment.
Answer:
c) KJ and JH
Step-by-step explanation:
Answer:
lowkey gonna say B
Step-by-step explanation:
shshevr fcfvdbd
Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Answer:
You do not use the first derivative to find the rate you need to take the limit ratio as x approaches positive infinity. We use positive and not negative infinity because our function is increasing and not decreasing. The ratio ends up being 1/1000 meaning that this a finite non zero number. Which proves that they grow at the same rate
Step-by-step explanation:
An 80–calorie apple is 4% of jeremy’s daily caloric intake. What is Jeremy’s daily caloric intake?
Answer:
3.2 calories
Step-by-step explanation:
4% is .04
so
80 x .04 = 3.20
find the missing number so that the equation has no solutions
__x+6 = 2(-3x + 1) + x - 16
Answer:
-5
Step-by-step explanation:
-5x+6 = 2(-3x + 1) + x - 16
-5x+6 = -6x + 2 + x - 16
-5x+6 = -5x -14
+6≠-14⇒x∈Ф
Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?
what is the a, b, and c of the following quadratic y = - 4x ^ 2 + 5x - 3
Answer:
A = -4
B = 5
C = -3
Step-by-step explanation:
Standard form of a quadratic equation is y = Ax² + Bx + C
In the quadratic y = -4x² + 5x - 3, we can use this standard form to find A, B, and C.
Since -4 is the coefficient to x², A is -4.
Since 5 is the coefficient to x, B is 5.
Lastly, since -3 is the last term, C is -3.
So, the answer is:
A = -4
B = 5
C = -3
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↓
Answer:
dsefggrgrgrgersd
ILL BRAINLIEST YOU IF YOU GET IT RIGHT
WHICH DIAGRAM SHOWS A PAIR OF ANGLE MEASURE THAT PROVIDES LINES c and d are parallel?
Answer:
It's C.
Explanation:
I took a test on this
7.5% of what number is equal to 85% of 200?
Help
Which inequality is true?
3/4 > 12/16
5.6 ≥ 6/5
-2/3 < -7
5 < 6/7
Answer:b
Step-by-step explanation:
Find the profit or loss if:
Cost price = $250 Selling price = $325
also state wether it’s a profit or loss
Answer:
moncy soup ñomi
Step-by-step explanation:
63=a-=
Order the numbers by value.
LEAST to GREATEST
10
√99
√75
9
9.5
Answer:
√75, 9, 9.5, √99, 10
Step-by-step explanation:
that's what I got
Find the gradient of the line passing through the points (4a,-a) and (6a,5a)
Answer:
The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3
Step-by-step explanation:
The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;
[tex]The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The coordinates of two points on the given line are;
(4·a, -a), and (6·a, 5·a)
Therefore, we get;
[tex]The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3[/tex]
The gradient of the line = 3.
Calculate each value for ⊙P. Use 3.14 for and round to the nearest tenth.
14. Find mMK please :)
Answer:
Step-by-step explanation:
11) strategy: since they tell us. indirectly, that the length of JK is the same as LM then we can set those two equal, solve for X and then.. when we have X we can figure out the lenght of JK and LM and then just divide that by 2 go get PK ( :0 Player Killer ??? no , not that PK)
solve JK and LM
3x + 23 =9x-19
42 = 6x
7 = x
now that we know x = 7 plug it into either equation to come up with the length of JK or LM . I'll pick JK just b/c it was 1st
3(7) + 23 = JK
21+23 = JK
44 = JK
now take half of 1/2*JK= 22 that is PK ( are you sure that 's not player killer?)
PK = 22
12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB
9x-20 = 5x + 28
4x = 48
X = 12
9(12) -20 = BG
88 = BG
2*88 + AB
176 = AB
13) done
14) strategy: find the angle at L, and that will also be the arc of MK
copy and past the below helpful trig functions into your computer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
copy and past the above :
use which ever trig function you want , we have all the sides of the triangle, I'll use CAH
Cos(Ф) = 9/15
Ф = arcCos(9/15)
Ф = 53.13010°
arc MK = 53.13010°
15) strategy: arc JK is just 2 times MK
2*MK = 106.26020°
arc MK = 106.26020°
16) find arc JPK strategy: JPK is just the remaining part of a full circle of 360 - MK = 253.7397°
arc JPK = 253.7397°
Please answer fast.
Find the area of the following figure.
252 [tex]cm^{2}[/tex]
400 [tex]cm^{2}[/tex]
312 [tex]cm^{2}[/tex]
300 [tex]cm^{2}[/tex]
Answer:
312 cm²
Step-by-step explanation:
The figure is composed of a rectangle and 2 congruent triangles
area of rectangle = 16 × 12 = 192 cm²
area of 2 triangles = 2 × [tex]\frac{1}{2}[/tex] × 12 × 10 = 12 × 10 = 120 cm²
Area of figure = 192 + 120 = 312 cm²
The are of a rectangular trampoline is 112ft. The length of the trampoline is 6ft greater than the width of the trampoline. This situation can be represented by the equation x^2+6x-112=0 what is the width of the trampoline in feet
Answer:
8cm
Step-by-step explanation:
let x = width
x^2+6x-112=0
we would solve this using the factorization method
the factors of -112x^2 that would add up to 6x are 14x 8x
x^2 - 8x + 14x - 112 = 0
factorise
x(x - 8) + 14(x - 8) = 0
x+ 14 = 0
x - 8 = 0
x = 8
the width is 8cm
x = -14
PEOPLE YOU ARE SMARTER THAN ME HELP
Answer:
1/2
Step-by-step explanation:
Answer: 1/2
length of A is 6 units
length of B is 3 units
dilated / original
3/6 simplified is 1/2
10/b10=6/b-2 solve for b pls
CAN SOMEONE HELP ME PLS ASAP
Simplify, dont have to show work
3c-10c
Im not 100% sure what youre asking but if the value for C isnt given then it would be -7c because 3-10 is -7
(if theres a value for C can you let me know I can solve the actual thing it it would help more just lmk :)
Answer:
-7c
Step-by-step explanation:
your welcomeeeeeeeeee
What is the answer to this AND WHY!
(−1+√5)/2
Answer:
Square root: sqrt(5) = √ 5 = 2.23606798
Add: -1 + the result of step No. 1 = -1 + 2.23606798 = 1.23606798
Divide: the result of step No. 2 / 2 = 1.23606798 / 2 = 0.61803399nation:
plzzzzz help now plzz
Quadrilateral EFGH is similar to quadrilateral IJKL. Find the measure of side JK.
Round your answer to the nearest tenth if necessary.
H
7.5
G
L
29
K
a
11
E
Answer: I think it is going to be 42.5
Step-by-step explanation: I think that because is you divide the 29 by 7.5 you get 3.86. Multiply the 11 by 3.86 and you get 42.46. If you round to the nearest tenth that would be 42.5