Answer:
{9,19,39,79}
Step-by-step explanation:
Recursive Sequences
The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:
f(n) = 2f(n-1)+1
f(1) = 4
To find the first four terms of the sequence, we set n to the values {2,3,4,5}
For n=2f(2) = 2f(1)+1
Since f(1)=4:
f(2) = 2*4+1
f(2) = 9
For n=3f(3) = 2f(2)+1
Since f(2)=9:
f(3) = 2*9+1
f(3) = 19
For n=4f(4) = 2f(3)+1
Since f(3)=19:
f(4) = 2*19+1
f(4) = 39
For n=5f(5) = 2f(4)+1
Since f(4)=39:
f(5) = 2*39+1
f(5) = 79
An ant with a mass of 4 x 10-6 kg is carrying a bread crumb back to its anthill . The bread crumb has a mass of 8 x 10-5 kg. The mass of the bread crumb is how many times the mass of the ant?
Answer:
Mass of bread crumb is 20 times the mass of the ant..
Step-by-step explanation:
Mass of an ant = [tex]4\times 10^{-6}[/tex] kg
Ant carries a weight of bread crumb to its anthill.
Mass of the bread crumb = [tex]8\times 10^{-5}[/tex] kg
Ratio of their masses,
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{4\times 10^{-6}}{8\times 10^{-5}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{2\times 10^{(-5+6)}}[/tex]
[tex]\frac{\text{Mass of the ant}}{\text{Mass of bread crumb}}=\frac{1}{20}[/tex]
Mass of the bread crumb = 20×(Mass of the ant)
Therefore, mass of the bread crumb is 20 times the mass of the ant.
What is the sales tax on a chair with a price tag of $180, if the tax rate is 5.75%?
Answer:
$190.35
Step-by-step explanation:
180 ⋅ 0.0575 = 10.35
Add 180 to 10.35
$190.35
(I could be wrong. Sorry if I am)
Hope I helped :)
Please consider Brainliest :)
choose 3 decimals that are greater than 1⁄2, but less than 1
Answer:
0.6 ; 0.7 ; 0.8
Step-by-step explanation:
Change all numbers given to decimals:
1/2 = 0.5
1 = 1.0
Any number that fits x in 0.5 < x < 1.0 is your answer.
Answer choices:
0.6
0.7
0.8
etc.
~
Answer:
0.6, 0.7, 0.8, 0.9
Step-by-step explanation:
1/2 is 0.5 in decimal form. So, decimals that are greater than 0.5 but less than 1 are:
0.6, 0.7, 0.8, and 0.9 etc.
x+7<13.
^^^^^ answer please & show work .
Step-by-step explanation:
what is the constant of proportionality of p=5a
Answer:
=5x
Step-by-step explanation:
your question might have a different variable witch is the letter at the end
A shop owner offered a 20% discount off the regular price of a mirror. The amount of the discount is $5. What is the regular price of the mirror?
Answer:
25 dollars
Step-by-step explanation:
If 20 percent of the initial price was 5, you can create the equation:
0.2x=5, with x being the regular price.
Multiply both sides by 5:
x=25
Answer:
25$
Step-by-step explanation:
20/100 can be rounded down to 1/5 meaning all you have to do is multiply 5 by 5
5 times 5 is 25
25$ was the original price
You buy a gallon of milk. How many cups can you pour from it?
Answer: 16 cups!
Step-by-step explanation: Hopefully this helped :D
Answer:
16
Step-by-step explanation:
Step 1:
1 gallon = 16 cups Conversion
Answer:
16 cups
Hope This Helps :)
The difference between a number x and 17 is 24.
Answer: X=7
Step-by-step explanation: X+17=24 subtract 17 from both sides and you would get X=7
Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 9
square units. Notice that you can divide the rectangle into two squares with equal area. How can you
estimate the side length of each square? Estimate the length and width of the rectangle.
Answer:
The side length of each square is 2.12 units.
The length ad width of the rectangle are 2.12 and 4.24 units
Step-by-step explanation:
Let the width of the rectangle is x,
So, the length of the rectangle is 2x.
Area of the rectangle = 9 sq. units
[tex]9 = 2x \times x[/tex] [as area = length x width]
[tex]\Rightarrow 9 = 2x^2[/tex]
[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]
[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units
So, width of the rectangle, x= 2.12 units and
the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.
After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.
The area of the rectangle = 9/2=4.5 square units.
Let a be the length of the sides of the square, so
Area [tex]= a^2[/tex]
[tex]\Rightarrow a^2=4.5[/tex]
[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]
Hence, the side length of each square = 2.12 units.
Which of the binomials below is a factor of this Torinomial? X2 + 12x + 32
x2+12x+32
Factor out 2 from the expression
2(x+6x+16)
Collect like terms
2(7x+16)
Now we do the same thing only different way ok
x+6x
If a term doesn't have a coefficient , it is considered that the coefficient is 1
1x+6x
Collect like terms by adding their coefficients
(1+6)x
Add the numbers
7x
1+6=7
To add the numbers using a number line, start from zero.
Since 1 is positive, move the point 1 unit to the right.
Since 6 is positive, move the point 6 units to the right
The result is 7
Answer : 2(7x+16)
That's it . Hope it wasn't too hard to understand?
Please give me as brainliest
find the exact values of the following, giving your answers as fractions.
Giving brainliest to the first person to get all right :)
Answer:
Step-by-step explanation:
The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
Do that for the next 2:
[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]
and
[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]
what is 1/2- 1 and 1/5
Answer:
-0.7 is the answer to your question
Answer:
Answer:
-0.7 is the answer to your question
Step-by-step explanation:
w over 5 = 3
w = ?
needs sum help
Answer:
w=15
Step-by-step explanation:
Solve for w by simplifying both sides of the equation, then isolating the variable.
HELP PLEASE IM ON THE EDGE OF FAILING
Answer:
65
Step-by-step explanation:
because at the top it is 65 so at the bottom its....
Answer:
80°
Step-by-step explanation:
Add 65° and 35° together to get 100°
The angles must equal 180° to make a triangle.
180° - 100° = 80°
Hope I helped :)
Please consider Brainliest :)
Hannah bought a sweater on sale for $24. If that was a fourth of the original price what is the original price?
Answer: 6$
Step-by-step explanation:
Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number
Question:
Which description could be written as a linear function?
Answer:
Option a)
Explanation:
Let 2 numbers be x1 and x2.
For the first option:
Eight more than twice a number.
The graph would be y = 8 + 2x1 which is a linear function.
For the second option:
Three more than the product of two numbers.
The graph would be y = 3 + x1x2 which is a graph function.
For the third option:
Ten more than the square of a number.
The graph would be y = 9 + (x1)² which is a graph function.
For the fourth option:
Nine more than one divided by a number.
The graph would be y = 9 + 1/x1 which is a double-parabole function.
Hopefully this answer will help you.
Answer: option a
Step-by-step explanation:
Just took the test
what is the slope of the line that goes through the points (2,-1) and (6,1)
Answer: The slope is [tex]\frac{1}{2}[/tex].
Step-by-step explanation:
1. You set up your Slope Formula [tex]M=\frac{y2-y1}{x2-x1}[/tex].
2. Substitue your points into the formula.[tex]M=\frac{1--1}{6-2}[/tex].
3. Once you substitute, you will solve the equation[tex]M=\frac{2}{4}[/tex].
4. Simplify the equation if you have to [tex]M=\frac{1}{2\\}[/tex].
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
Can someone help with this?
Answer:
B
Step-by-step explanation:
Because it has to be less than or no more than $100
Answer:
8=D
Step-by-step explanation:
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Answer:
y=2x+3
step explanation:
-c + 5d + 7c - 11d + d - 3c
Answer:
3c-5d
Step-by-step explanation:
Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x
Figure B is a scaled copy of Figure A. Select all of the statements that must be true:
Figure B is larger than Figure A.
Figure B has the same number of edges as Figure A.
Figure B has the same perimeter as Figure A.
Figure B has the same number of angles as Figure A.
Figure B has angles with the same measures as Figure A.
Item at position 2
ANSWER QUICKLY PLEASE
Answer:
Same number of edges
Same number of angles
Angles woth same measures
One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)
Answer:
The player's expectation is a loss of 20 cents.
Step-by-step explanation:
In a game of roulette, there are 38 slots where the ball can stop.
The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.
So, N = 38.
The slots which are multiples of 3 are:
S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}
So, n (S) = 12.
Let X = the ball stops on a number that is a multiple of 3
The probability that the ball stops on a number that is a multiple of 3 is:
[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]
It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.
Compute the player's expectation as follows:
[tex]E(X)=\sum X\cdot P(X)[/tex]
[tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]
Thus, the player's expectation is a loss of 20 cents.
(I WILL GIVE BRAINLYIST)
A student solves the inequality -50 > 55. Each step in the student's solution is shown below. Identify where the student made any errors.
Answer: pick b
Step-by-step explanation:
Answer:
Step 2 and 3
Step-by-step explanation:
:)
HELPP ASAP!! PLS BE SURE THAT THE ANSWER IS CORRECT
Point A is at (-6,8) and point M is at (0,0.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
(6,-7)
Step-by-step explanation:
the coordinates of point B are (6-7)
Answer:
the first answer is right
Step-by-step explanation:
Please can anyone explain it’s due In 30 mins
Answer:
Step-by-step explanation:
1) h(t) = 5t + 10
2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70
3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.
Together, Linda and Penny sold 492 boxes of Girl Scout cookies. Penny
sold 48 more boxes than Linda. How many boxes did Linda sell?
Answer:
222
Step-by-step explanation:
Let L = number of boxes Linda sold.
Let P = number of boxes Penny sold.
The sold a total of 492 boxes.
L + P = 492
Penny sold 48 more boxes than Linda.
P = L + 48
Substitute P with L + 48 in the first equation and solve for L.
L + L + 48 = 492
2L + 48 = 492
2L = 444
L = 222
Answer: Linda sold 222 boxes.
Check:
Penny sold 48 more boxes, so she sold 222 + 48 = 270.
Add the numbers they sold: 222 + 270 = 492
The difference is 48, and the total is 492. Our answer is correct.
The third-grade teachers had a pizza party. They ordered 11 large pizzas and each pizza had 8 slices. There were 4 classrooms in the grade.
whats the question you only stated the problem
Answer:Not exactly sure what the question is but...
Step-by-step explanation:There would be 88 slices so each classroom would get 22 slices.
Hope this helps