Find the sum of all integers between −102 and 104.
The integers from -102 to 102 would all cancel, leaving you with
(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104
= 103 + 104
= 207
f(1)=-12, f(n)=2f(n-1)
find first 4 terms
============================================
Explanation:
The notation f(1) = -12 tells us that the first term is -12.
The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.
-12*2 = -24
-24*2 = -48
-48*2 = -96
So the first four terms are -12, -24, -48, -96.
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Alternative Approach
f(1) = -12 .... first term
f(n) = 2*f(n-1) ... nth term recursive formula
f(2) = 2*f(2-1) ... plug in n = 2
f(2) = 2*f(1)
f(2) = 2*(-12) ... plug in f(1) = -12
f(2) = -24 ... second term
f(n) = 2*f(n-1) .... resetting for the next computation
f(3) = 2*f(3-1) ... plug in n = 3
f(3) = 2*f(2)
f(3) = 2*(-24) ... plug in f(2) = -24
f(3) = -48 .... third term
f(n) = 2*f(n-1) ... one more reset
f(4) = 2*f(4-1) .... plug in n = 4
f(4) = 2*f(3)
f(4) = 2*(-48) ... plug in f(3) = -48
f(4) = -96 ... fourth term
We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
Learn more about linear expression here: https://brainly.com/question/1955739
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The midpoint of AB is at (3, 2) . If A = (4, 8) , find b
B is:( , )
Answer:
B (2,-4)
Step-by-step explanation:
A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?
a group of 12 runners each drink 64 ounces of water every day how many ounces of water will they drink in 45 days
Sam needs 7/8 cup mashed bananas and 5/6 cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries. How can he write 7/8 and 5/6 as a pair of fractions with the smallest common denominator?
Answer:
I don't no the answer i hope you
In the diagram, DC bisects
We are given that ∠BDA is bisected
this means that ∠BDC = ∠ADC
Finding x :
Since ∠BDC = ∠ADC:
7x - 19 = 9x - 37
2x = 18
x = 9
Finding ∠ADC:
We are given that ∠ADC = 9x - 37
now that we know that x = 9, replacing x:
∠ADC = 9(9)- 37
∠ADC = 44°
HELP PLS A carnival charges $2.50 per ride after an entrance fee.You paid a total of $22.50 after 6 rides.Find the total cost for 15 rides.
Suppose that we have a sample space S = {E1, E2, E3, E4, E5, E6, E7}, where E1, E2, . . . , E7 denote the sample points. The following probability assignments apply:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Let A = {E1, E4, E6} B = {E2, E4, E7} C = {E2, E3, E5, E7}
Find the probability of the intersection of A and B.
Answer:
The required probability for the intersection of A & B = 0.25
Step-by-step explanation:
Given that:
Sample space S = {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.
Also;
A = {E1, E4, E6}
B = {E2, E4, E7}
C = {E2, E3, E5, E7}
Then
P(A) = 0.05 + 0.25 + 0.10 = 0.4
P(B) = 0.20 + 0.25 + 0.05 = 0.5
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6
The intersection of A and B are:
P(A ∩ B) = E4
P(A ∩ B) = 0.25
The required probability for the intersection of A & B = 0.25
help me please i dont know what this is i cant think
Answer:
ahhhhh swear that's scary honestly
What is -7 as a fraction
Answer:-7/1
Step-by-step explanation:
Answer:
-7/1
Step-by-step explanation:
Equation
Answer
7w = 21
m7= 5
6b = -42
x5=10
8b = 96
y2= -20
-6c = -36
4p = 48
m-11= -3
k-2= 4
12g = -60
-3w = -39
m-9=20
w4= -60
17b = 51
Can someone please HELP
What Quadrant is 4,-8 located in
Answer:
4
Step-by-step explanation:
Which number is additive inverse of -4 1/4
Answer:
4 1/4
Step-by-step explanation:
the additive inverse is a number that when you add it with the number you already had, makes 0
-2 is the additive inverse of 2
so 4 1/4 is the inverse of -4 1/4
Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest?
Answer:
The rate of interest is 9%.
Step-by-step explanation:
Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 360,p = 4000,t = 1[/tex]
[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]
[tex]36000 = 4000r[/tex]
[tex] \frac{36000}{4000} = r[/tex]
[tex]r = 9[/tex]
Challenge You buy 3.17 pounds of oranges, 1.25 pounds of pears, and 2.44 pounds of apples.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges
$0.99 per
pound
Pears
$1.09 per
pound
Your total bill is $
Rewrite each equation 5x – 4y = 6
Step-by-step explanation:
5x-4y=6.....eqn.1
or,5x=6+4y
or,x=6+4y/5....eqn.2
from eqn.1..5(6+4y/5)-4y=6
or,6+4y=6
:y=0 ans..
frm eqn.2
:x=6+0\5
:x=6/5 ans..
Shaniqua brings home $250 per week working 25 hours. She is able to save $30 of her earnings each week.
Shaniqua wants to have $750 saved at the end of 15 weeks. She is allowed to work up to 30 hours per week if she
wants. She can save all the money earned working extra hours. How many hours (as a whole number) each week
must Shaniqua work to save $750 at the end of 15 weeks? Show your work.
Answer: She'd have to work 27 hours a Week because by her working 2 more hours shed be able to save up 50 a week.
Explanation: 750 divided by 15 (the weeks) is 50. Shed need to save 50 a week instead of 30 to reach her goal and the amount 50 divided by the number of hours she works (25) is 2. Add the 2 to 25 and you get 27 weeks.
The price of one share of a stock fell 4 dollars each day for 8 days. How much value did one share of the stock lose after 8 days?
Answer:
After 8 days, the stock lost 32 dollars.
Step-by-step explanation:
If 4 dollars fell every day for 8 days, it would be 32 dollars because 4*8 is 32.
HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.
What is the value of b?
Answer:
[tex]b=2[/tex]
Step-by-step explanation:
We know that the line passes through the point (16, -10).
And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]
Notice that the slope of this line is -3/4
Remember that parallel lines have the same slope.
Therefore, the slope of our new line is also -3/4
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:
[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]
Distribute:
[tex]y-(-10)=-\frac{3}{4}x+12[/tex]
Simplify:
[tex]y+10=-\frac{3}{4}x+12[/tex]
Subtract 10 from both sides:
[tex]y=-\frac{3}{4}x+2[/tex]
This is in the form y=mx+b.
Therefore, our b is 2.
And our final answer is 2.
How many solution does the following equation have -5 + 7x = 7x + 5
Answer:
No solution
Step-by-step explanation:
Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:
7x does not equal 7x + 10
A car is going 50 miles per hour.
A rate that describes this would have units of?
А. miles and hours.
B. miles and cars.
C. hours only.
D. miles only.
miles and hours is the correct option.
NOT SURE BUT HOPE IT IS CORRECT AND HELPS YOU
Which statement is false? Explain.
A. An equiangular polygon has all angles congruent.
B. A regular polygon is both equilateral and equiangular.
C. An equilateral polygon has all sides congruent.
D. A polygon is concave if no diagonal contains points outside the polygon.
Answer: D. A polygon is concave if no diagonal contains points outside the polygon.
Explanation:
Choice A is true since "equiangular" means "equal angles"
Choice B is true since all sides are congruent, and all angles are congruent for a regular polygon
Choice C is true. The term "lateral" means "side".
Choice D is false because a convex polygon is one where all possible line segments contained in the polygon do not spill outside the polygon. Put another way, if points A and B are in a convex polygon, then every point on line segment AB is also in the polygon. Concave polygons don't have this feature. It is possible to draw a line segment where it spills outside the concave polygon.
The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type A) brought for inspection are normally distributed with PSI of µ = 30 and σ = 4, and such spares tires with PSI below 25 are considered under-inflated.
The amount of air pressure, (PSI) in the spare tire of a certain vehicle (Type B) brought for inspection are normally distributed with PSI of µ = 27.7 and σ = 5.4, and such spare tires with PSI below 25 are considered under-inflated.
The PSI found in the spare tire of vehicle Type A and vehicle Type B does not depend upon the other type of vehicle, and every vehicle has 1 spare tire in it.
a. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that BOTH vehicles have an under-inflated spare tire?
b. What is the probability that, for the next Type A vehicle and next Type B vehicle that are inspected, that there is a total of EXACTLY one under-inflated spare tire among these two vehicles?
Answer:
f
Step-by-step explanation:
If b^2=a then b is what of a?
Answer:
[tex]\huge\boxed{b = \sqrt{a}}[/tex]
Step-by-step explanation:
If we have an equation [tex]b^2 = a[/tex] and we want to find what b is in relation to a, we can change the equation so that we have b on one side and whatever is on the other side is what b is.
[tex]b^2 = a[/tex]
To isolate b, we can take the square root of both sides as taking the square root of something squared results in the base.
[tex]\sqrt{b^2} = \sqrt{a}[/tex]
[tex]b = \sqrt{a}[/tex]
So b is the square root of a.
Hope this helped!
Simplify
27^n+3 -6×3^3n+3/3^n×9^n+2
Answer:27^n+3–6*3^3n+3–n*9^n+2
Step-by-step explanation:
Can someone help me answer
Answer: she should by 9 bottles of juice
Step-by-step explanation:
because there's 2 L per one bottle, 2L (X bottles) = 18L, X = 9
Identify the following data set:
The rates at which all of the cashiers scan products for a store on a study about the
cashiers for the day
Answer: Population
Step-by-step explanation:
Answer:
Population
Step-by-step explanation:
I just took the quiz
Identify the angles that each have a measure of 88°.
Answer:
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Step-by-step explanation: