The pattern of the spread of the virus will be 1,2,4,8 identify the next three numbers in this pattern
Answer:
16 32 64
Step-by-step explanation:
Remark
Though it is easy just to add the next three numbers, it would be a good idea to develop some sort of formula. It is what you always want to do if you are representing a sequence. Then you don't have to struggle to find the 100 term of the given sequence. The only way to explain this is to say it is a geometric sequence.
Givens
t1 = 1t2 = 2t3 = 4t4 = 8Solution
r = t4/t3 = 8/4
r = 2
a = 1
Formula
tn= a*r^(n - 1)t5 = 1*2^(5 - 1)t5 = 2^4t5 = 16Answer
By similar methods the next 2 items will be 32 and 64.
Note
t_100 = 1 * r^(100 - 1)t_100 = 2 ^99 = 633825300114114700748351602688A formula is the only way to go when the numbers are this big.The next three numbers in the given pattern (1,2,4,8) are 16, 32, and 64, obtained by doubling the last known number in the series for each subsequent term.
Explanation:This question is related to a mathematical pattern in which each number is being doubled to get the next one. The series given is 1, 2, 4, 8. Here, you can notice that each successive number is two times the prior number. So, to find the next three numbers, you'd multiply the last given number by 2.
When you multiply 8 (the last number in the given series) by 2, you get 16. That's your first number. Continuing this pattern:
Multiply 16 by 2 to get 32. This is your second number.Then, multiply 32 by 2 to get 64, which is your third number.So, the next three numbers in this pattern would be 16, 32, and 64.
Learn more about Number Patterns here:https://brainly.com/question/27644447
#SPJ3
A large beetle can be 2x2x2x2x2x2x2 millimeters long. One of the smallest beetles can be 2(-2 (power)) millimeter long. How many times as great is the length of the large beetle than the length of the small beetle?
Answer:
I think the answer is 2^8 millimeters longer than the small beetle
Step-by-step explanation:
Andy has 9 math books and 6 reading books. If he wants to distribute them evenly among some bookshelves so that each has the same combination of books, with none left over, what is the greatest number of bookshelves Andy can use?
Answer:
3 is the greatest number of book shelves Andy can use.
Step-by-step explanation:
You can solve this by finding the greatest common factor of 9 and 6, which turned out to be 3.
6/3 = 2 (reading books per shelf)
9/3 =3 (math books per shelf)
Every shelf there are 2 reading books and 3 math books.
the sum of a number and 6 is greater than or equal to -4
Answer:
x + 6 >= -4
x can be from -10 or anything greater.
Step-by-step explanation:
-4 - 6 = -10
if you do any number less than -10 it won't work, but anything greater does
Select all trips that would take 2 hours. Show your work for each situation. Walk 5 miles per hour to school, which is 2.5 mikes away. Drive 50 miles per hour between Buffalo and Seneca Falls, which are 150 miles apart. Take a train going 90 miles per hour from Albany to NYC, which are 180 miles apart.
Walk 5 mph for 2.5 miles : Would take 30 minutes. X
Drive 50mph : Would take 3 hours X
90mph for 180 miles : Would take 2 hours
Geometry/Algebra
Find the missing angle measure
Answer:
∠2 = 115.5°
Step-by-step explanation:
128.5° is an exterior angle of the triangle
The exterior angle equals the sum of the 2 opposite interior angles, hence
∠2 + 13 = 128.5 ( subtract 13 from both sides )
∠2 = 115.5°
use the following table to find the value of h'(3) if h(x)=g[f(x)]
A differential equation is an equation that contains one or more functions with its derivatives. The value of h'(3) iss 14.
What is Differential equation?A differential equation is an equation that contains one or more functions with its derivatives.
Given
h(x) = g(f(x))
Let us differentiate with respect to x by using chain rule we get
h'(x) = g'(f(x))f'(x)
plug the value x =3 in the above equation
h'(3) = g'(f(3))f'(3)
The value of f(3)=4, f'(3)=7 by table given
Plugging in values we get
h'(3) = g'(4)×7
We have g'(4)=2
so h'(3) = 2×7
h'(3) = 14
Hence the value of h'(3) is 14.
To learn more on Differentiation click:
https://brainly.com/question/24898810
#SPJ2
Suzy earns 7.50 per hour. she worked 32.5 hours last week. what was the amount of her check?
Answer:
You would have to do
7.50 x 32.5 which would equal
243.75
Please mark brainlist if helped! c:
What we know:
- Suzy earns 7.50$ per hour.
- Suzy worked 32.5 hour's last week.
What we need to find:
- We need to find the amount of money she had on her check.
What we need to do to solve this problem:
To solve this problem we need to multiple the amount of money she earned per hour and how many hours she worked. 7.50×32.5
7.50×32.5=243.75
That being said, your answer is: 243.75
I hope this helps! :)
-LizzyIsTheQueen
Adam's car traveled 465.3 miles on 18.5 gallons of gas. Which equation can be used to determine the average number of miles that the car traveied on each gallon of gas?
Answer:
25.15 miles per gallon
Step-by-step explanation: The equation to find the number of miles traveld per galon would be to divide the number of miles traveled by the number of gallons used.
A car can travel 126 kilometers on 14 liters of gasoline. How far can it travel on 24 liters?
Answer:
216 kilometers
Step-by-step explanation:
126/14 = 9 (this means 9 kilometers per 1 liter)
9 x 24 = 216 kilometers
What does x <-20 mean
X is greater than negative 20 (-20)
Solve for k:
k + 6 > -20
Answer:
k > -26
Step-by-step explanation:
To isolate the k, you subtract 6 from both sides to get k < -26.
The correct answer is k > -26
Explanation:
To solve our equation first we need to set out our equation, k + 6 > -20. Next, we have to subtract 6 from both sides of the equation, k + 6 - 6 > -20 - 6 = k > -26. Finally, we have our answer of k > -26.
Hope This Helps!!!
-AnimeDabGirl
Which ordered pair is a solution to the system of inequalities?
Answer:
its A. (1,9) i know because i just did this apex test
Step-by-step explanation:
The sandbox at a local playground is shaped like a square. The length of one side of the sandbox is 8 feet. What is the area of the sandbox, written as an expression with exponents? 24 ft² 28 ft² 8² ft² 88 ft²
Answer:
8^2 ft^2
Step-by-step explanation:
8^2= 64, and to find area it lengthxwidth.
so 8x8=64
Answer:8^2 ft^2
Step-by-step explanation:
What number is 30% of 20?
Answer:
6
Step-by-step explanation:
20 times .3 equals 6
the answer is 6 because (30 ÷ 100) × 20
Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule.
Answer:
see explanation
Step-by-step explanation:
to find the first, fourth and tenth terms, substitute n = 1, 4, 10 into the rule
A(1) = - 3 + (1 - 1)(- 2.2) = - 3 + (0 × - 2.2) = - 3 + 0 = - 3
A(4) = - 3 + (4 - 1)(- 2.2) = - 3 + (3 × - 2.2) = - 3 - 6.6 = - 9.6
A(10) = - 3 + (10 - 1)(- 2.2) = - 3 + (9 × - 2.2) = - 3 - 19.8 = - 22.8
the required terms are - 3, - 9.6, - 22.8
Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
H(-3) =
H(-2)=
H(0)=
|x| = x for x ≥ 0
examples:
|3| = 3; |0.56| = 0.56; |102| = 102
|x| = -x for x < 0
examples:
|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102
--------------------------------------------------------------------------------
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
--------------------------------------------------------------------------------
[tex]h(x)=\dfrac{1}{3}|x-6|+4[/tex]
Put the values of x to the equation of the function h(x):
[tex]x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6[/tex]
Solve for x. −2x + 3b > 5 x > the quantity 3 times b minus 5 all over 2 x > the quantity 5 minus 3 times b all over negative 2 x < the quantity 3 times b plus 5 all over 2 x < the quantity negative 3 times b plus 5 all over negative 2
Answer:
x < the quantity negative 3 times b plus 5 all over negative 2
Step-by-step explanation:
−2x + 3b > 5
Subtract 3b from both side.
-2x +3b -3b > 5-3b
-2x > 5-3b
Divide by -2 on both sides, remember to flip the inequality since we are dividing by a negative
-2x/-2 < 5/-2 - 3b/-2
x < (5-3b)/-2
x< (-3b+5)/-2
Re write in words.
x is less than the quantity negative 3 times b plus 5 all over negative 2
Team infinite dimensions gathered 30 pounds of wood in 3/5 hour. What is their speed in pounds per hour?
Answer:
The speed is 50 pounds per hour .
Step-by-step explanation:
As given
Team infinite dimensions gathered 30 pounds of wood in [tex]\frac{3}{5}[/tex] hour.
[tex]Speed = \frac{Total\ pound\ of\ woods}{Total\ time}[/tex]
[tex]Speed = \frac{30}{\frac{3}{5}}[/tex]
[tex]Speed = \frac{30\times 5}{3}[/tex]
[tex]Speed =50\ pound\ per\ hour[/tex]
Therefore the speed is 50 pounds per hour .
Determine the slope from the table
Answer:
Your answer is B 2/5
Step-by-step explanation:
y2-y1/x2-x1
[tex]\frac{-5--3}{-7--2} = \frac{-2}{-5}\\[/tex]
1/2 x 2 1/2 as a fraction in simplest form plz help fast
someone deposits rs 40000 in a bank at the rate of 5%p.a. if he hsa to pay 5% of interest as income tax, how much will he get after 4 years
If someone deposits Rs 40000 in a bank at the rate of 5% p.a. after paying 5% tax, the amount he will get after 4 years is Rs 47600.
How the amount is determined:
Principal amount (P) = Rs. 40000
Rate of interest (R) = 5% per annum
Time period (T) = 4 years
We can calculate the simple interest using the formula:
[tex]\text{Simple Interest} = \frac{{P \cdot R \cdot T}}{{100}}[/tex]
Plugging in the values:
[tex]\text{SI} = \frac{{40000 \times 5 \times 4}}{{100}}[/tex]
= Rs 8000
Total Income after 4 years = Principal + Interest
Total Income = 40000 + 8000 = Rs 48000
Income Tax on Interest: The income earner needs to pay 5% income tax on the interest earned
Tax to Pay = 5% of Rs 8000 = Rs 400
Final Amount Received after Tax = Total Income - Tax to Pay
= 48000 - 400
= Rs 47600
Complete Question:
If someone deposits Rs 40000 in a bank at the rate of 5% p.a. If he has to pay 5% of interest as income tax, how much will he get after 4 years?
What is the value of (4x^2-10)/y when x=5 and y=6
Perform the specified operations on the polynomials: Subtract 5a−6b+7c from 13a−4b+8c
Answer:
8a + 2b + c
Step-by-step explanation:
For subtracting polynomials we just need to operate subtracting the terms with same unknown. In our case we sum/subtract the terms that include a between them, the terms that have b between them and the therms with c between them. So we have:
(13a−4b+8c) - (5a−6b+7c) =?
13a−4b+8c - 5a+6b-7c = ?
Lets operate putting together terms with same unknown:
(13a - 5a) + (-4b +6b) + (8c-7c) =
8a + 2b + c
So, if we subtract 5a−6b+7c from 13a−4b+8c we get 8a + 2b + c
I hope it is clear!
Jane deposited $10,000 into her bank account in December, 2010. Her account earns interest at a rate of 5% compounded monthly. How much money will she have in December of this year (2018)?
Round your answer to the nearest whole number.
Compound Interest: A = P ( 1 + r/n )^nt
Answer:
14905.85
Step-by-step explanation:
P(1+r/n)^nt
10000 (1 + (.05/12))^ (12*8)
Answer:
she will have $14,906 in December of year 2018
Step-by-step explanation:
To find the amount of money she will have in December of the year 2018, we will simply use the formula;
Compound Interest: A = P ( 1 + r/n )^nt
where p = principal
R = rate
n = the number of times the interest is compounded per unit time
T = time
A= Accrued amount
From the question
Principal (p) = $10,000
Rate (r) = 5% = 0.05
Time(t) = 2018-2010 = 8 years
n = 12
We can now proceed to insert the values into our formula;
Compound Interest: A = P ( 1 + r/n )^nt
= $10 000 ( 1 + 0.05/12) ^12×8
=$10,000(1 + 0.00416667)^96
= $10 000(1.00416667)^96
=$10 000(1.4905859)
=$14,905.895
≈$14,906 to the nearest whole number.
Therefore she will have $14,906 in December of year 2018
Solve the equation for x by graphing -4^x+1=3x-4 A. X=-1.75 B. X=0 C. X=-0.75 D. X=0.75
D. X=0.75
------------------------
Answer:
Option D - 0.75
Step-by-step explanation:
Given : Equation [tex]-4^x+1=3x-4[/tex]
To find : Solve the equation for x by graphing ?
Solution :
Let the equation,
[tex]y=-4^x+1[/tex] ......(1)
[tex]y=3x-4[/tex] ......(2)
Plot the two equations by graphing tool.
Equation (1) [tex]y=-4^x+1[/tex] with red curve passing through origin (0,0).
Equation (2) [tex]y=3x-4[/tex] with blue line passing through origin (0,-4) and (1.33,0)
The intersection point of both the equation is (0.739,-1.784).
So, The solution of x value is approximately x=0.75.
Therefore, Option D is correct.
Refer the attached figure below.
Given that f(x)=7x+7 and g(x)= 6x^2-2x+3 find (f+g)(x)
Answer:
(f+g)(x) = 6x^2 +5x+10
Step-by-step explanation:
f(x)=7x+7 and g(x)= 6x^2-2x+3
find (f+g)(x)
We will add the 2 functions. I like to line them up vertically.
f(x)= 7x+7
g(x)= 6x^2-2x+3
-------------------------------
(f+g)(x) = 6x^2 +5x+10
Trent earned a total of $18 by selling 6 cups of lemonade. After selling a total of 12 cups of lemonade, how much money will Trent have made in all?
Answer:$36
Step-by-step explanation:
He has sold 6 and made $18 6x2=12 2x18=36
a boat can travel 176 kilometers on 88 liters of gasoline. How much gasoline will it need to go 250 kilometers
Geometry; Inscribed Angles.Find the value of y. Please explain!
check the picture below.
Answer:
y = 48° is the answer.
Step-by-step explanation:
In the figure attached, length of small arc = 66°
This small arc makes an angle at the center of the circle = 66°
By definition, angle formed by the arc at the center is double of the measure of the angle inscribed by the small arc at the point on a circle.
Therefore, m (arc) = 66° = 2.(x)
x = [tex]\frac{66}{2}=33[/tex]
Similarly, y = [tex]\frac{96}{2}=48[/tex]
y = 48° will be the answer.