Answer:
23.13
Step-by-step explanation:
4. Prove by mathematical induction that n² +n < 2" whenever n is an integer greater than 4.
Step-by-step explanation:
n² + n < 2^n
so, let's see what happens, when I increase n by 1
(n+1)² + n + 1 < 2^(n+1) = 2×2^n
n² + 2n + 1 + n + 1 < 2×2^n
n² + 3n + 2 < 2×2^n = 2^n + 2^n
so, we added on the left and on the right side of the inequality sign compared to the original relation :
2n + 2 vs. 2^n
so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.
n² + n + (2n + 2) < 2^n + (2^n)
this inequality will remain true, if
2n + 2 <= 2^n
n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1
and therefore this relation remains true for any larger n.
Amelia had 22 sea shells. Then, she collected 9 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
Answer:
22 + 9 - S
Step-by-Step Explanation:
Amelia started with 22 seashells and found 9 more so you add that together then since she gave S amount of seashells away to her sister you minus it.
It is predicted that the value of a home will decrease by a rate of 4.6% annually due to a recent recession. Today, the value of the home is $185,000. What is the predicted value of the home in 6 years?
Answer:
$139 463.95
Step-by-step explanation:
100% - 4.6% = 95.4%
95.4% ÷ 100 = 0.954
0.954 --> decimal multiplier
$185 000 × 0.954^6 = $139 463.95
Hope this helps! <3
Please help I do not really know what I’m doing if you could give an example of that would be good too but if not that’s OK
Answer:
the dot would be shaded in and from -6 go to the left
Step-by-step explanation:
3. 13.2 -0.006
How would you show the work
Answer:
13.194
Step-by-step explanation:
13.2
- 0.006
-----------------
Just add zeros on the part where there are no numbers
13.200
- 0.006
------------------
13.194
Work out the length x. 14cm, 7cm , right angle triangle
The given triangle is a right angled triangle. So we can use the pythagorean theorem to solve this.
Hypotenuse = 14 cm
Altitude = 7 cm
Base = x cm
Using pythagorean theorem,
Hypotenuse² = Base² + Altitude²
14² = x² + 7²
14² - 7² = x²
196 - 49 = x²
147 = x²
√147 = x
12.124 = x (approx.)
_________
Hope it helps ⚜
Which equations shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 34-5=-2N+ 10? Select two options Ox= 5 0 -15 = -5x 0 5x = 15 0 -15 = 5x Ox = -5
Answer:
-15 = -5x
5x = 15
Step-by-step explanation:
can anyone help me with this asap. thank you in advance.
use the perimeter formula
P=2l+2w
P=2(3x+2)+2(x+4)
P=6x+4+2x+8
P=8x+12
If the area of a rectangle is 12[tex]b^{7}[/tex]b[tex]b^{4}[/tex] and the width of the rectangle is 4[tex]a^{2}[/tex][tex]b^{2}[/tex] , what is the length of the rectangle?
[tex]\text{Given that,}\\\\\text{Area} = 12 b^7 b b^4 =12 b^{12}\\\\\text{Width} = 4a^2 b^2\\\\\text{Now,}\\\\\text{Length} \times \text{Width} =\text{Area} \\\\\implies \text{Length} = \dfrac{\text{Area}}{\text{Width}}=\dfrac{12b^{12}}{4a^2 b^2} = \dfrac{3b^{10}}{a^2}[/tex]
The work of a student to solve the equation 3(2x - 4) = 8 + 2x + 6
Answer:
false
Step-by-step explanation:
3(2×−4)=8+2×+6
Multiply 3 and 2 to get 6.
6(−4)=8+2×6
Multiply 6 and −4 to get −24.
−24=8+2×6
Multiply 2 and 6 to get 12.
−24=8+12
Add 8 and 12 to get 20.
−24=20
Compare −24 and 20.
let p be the number of primes less than 100, and let Q be the number of primes less than 90. What is the value of P-Q?
The value of P - Q as described in the question above is; P -Q = 2.
According to the question;
P = number of primes less than 100Q = number of primes less than 90Since, we are required to determine what the value of P-Q is;
The value of P-Q is simply the number of primes between 90 and 100.
The prime numbers between 90 and 100 are; 91 and 97.
Therefore, P - Q = 2.
Read more;
https://brainly.com/question/22257959
The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?
Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.
When a constant is multiplied to each data in a variable:
The mean is multiplied by this constant. The standard deviation is multiplied by this constant.In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:
[tex]28.3(10) = 283[/tex]
[tex]5.3(10) = 53[/tex]
The mean of A is of $283, while the standard deviation is of $53.
A similar problem is given at https://brainly.com/question/25639778
Sequences
3, 7, 11, 15, ____, _____
4, 8, 16, 32, ____, _____
9, 16, 25, 36, ____, _____
256, 64, 16, 4, ____, _____
50, 45, 34, 26, ____, _____
[] 3, 7, 11, 15, 19, 23
4 is being added
[] 4, 8, 16, 32, 64, 128
They are being multipled by 2
[] 9, 16, 25, 36, 49, 64
It is increasing the addition by 2s, first one is adding 7, then 9, then 11, etc
[] 256, 64, 16, 4, 1, 1/4
It is being divided by 4
[] 50, 45, 34, 26, ____, _____
I am currently unsure on this one, if I figure it out I will edit my answer to reflect that!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!
Answer:
10.4
Step-by-step explanation:
x=3⇒f(3)= 4×3+3=15
x=3⇒g(3)=8/3+2≈4.6
f(3)-g(3)=15-4.6=10.4
Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará
Answer:
i tink its a
Step-by-step explanation:
Alina thinks that the first step in solving the equation shown below could
be to use the subtraction property of equality. Olivia thinks that the multiplication
property of equality could be used first. Who is correct?
Answer:
H
Step-by-step explanation:
Both.
However, multiplication is a good deal more awkward and anytime things are awkward, there's room for errors. However the question is what to do, not which is better.
The answer is both.
4/7 into decimal??? Then rounded to 3 decimal places??
Answer:
0.571
Step-by-step explanation:
:)
What is the probability that a positive integer not exceeding 100 selected at random is divisible by 3
Answer:
33/100
Step-by-step explanation:
E = 99/3
p = E/S = 33/100
what is it called when a constant and variable are combined (math)
Answer:
a 'term'
Step-by-step explanation:
3r means the constant 3 multiplied by the variable 'r'
2. which of the following shows the cube of a binomial?
Answer:
Socratic app
Step-by-step explanation:
it will help you
Please help me Asp please really fast
How many ? yards = 6 miles
Answer:
6 miles = 10560 yards
Step-by-step explanation:
To calculate a mile value to the corresponding value in yard, just multiply the quantity in mile by 1760 (the conversion factor). Here is the formula:
Value in yards = value in mile × 1760
Suppose you want to convert 6 mile into yards. Using the conversion formula above, you will get:
Value in yard = 6 × 1760 = 10560 yards
Help pls ASAP plssss
Answer:
y=2x-1
Step-by-step explanation:
The y-intercept is -1
The slope is 2
For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?
Which graph represents the solutions to x > ?
Answer:
D because all the values are greater than the point and do not include the point
Answer:
The Answer Is D
Step-by-step explanation:
Function or non functional???
Answer:
The relation is a function.
Step-by-step explanation:
In the given relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)}:
A relation is a function for which none of the ordered pairs have the same first component and different second components.
In the given relation:
The first component comprises of: {A, B, D, F, G}. The second component comprises of: {8, 8, 5, 5, 8}.The given relation represents a function since none of the first components have the same corresponding second components. In other words, there are no repeating values of A, B, D, F, and G. Each of these values has its own corresponding second component.
Therefore, the relation, {(A, 8), (B, 8), (D, 5), (F, 5), (G, 8)} is a function.
whay are the fourth and fifth number on the sequence 1,4,27.?..,..?..46656
Answer:
256, 3125
Step-by-step explanation:
This may be the sequence n^n: 1^1, 2^2, 3^3, 4^4, 5^5, 6^6, ...
Let's check with the numbers we see:
1^1 = 1
2^2 = 4
3^3 = 27
6^6 = 46656
Yes, this is the sequence n^n.
The 4th term is:
4^4 = 256
The 5th term is:
5^5 = 3125
one added to the square root of the sum of a number and one is equal to four. find the number
[tex]\stackrel{\textit{one added to the }\sqrt{\qquad }}{1+\sqrt{\quad }}~~,~~ \stackrel{\sqrt{~~}\textit{ of a number and one}}{\sqrt{x+1}}\implies 1+\sqrt{x+1}\stackrel{\textit{equals}}{=}4 \\\\\\ \sqrt{x+1}=3\implies \left( \sqrt{x+1} \right)^2=3^2\implies x+1=9\implies \boxed{x=8}[/tex]
I need the answers to thisssss?
Answer:
Step-by-step explanation:
A. Zero Slope: since it is horizontal
B. Positive Slope: since it goes up and to the right
C. Undefined Slope: since it is vertical
D. Negative Slope: since it goes down and to the left
Triangle MAF has sides lengths 223, 258 , and 276. Find the measure of the largest angle. a) 68.72degrees b) 69.56degrees c)66.98degrees d) 70.45degrees
Answer:
Step-by-step explanation:
The largest angle will be opposite the longest side.
Use law of cosines
276² = 223² + 258² - 2(223)(258)cosθ
θ = 69.596009... = 69.60°
Which is closest to answer b)