Answer:
The common difference d is d = -3
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
Step-by-step explanation:
We need to find the common difference and the recursive formula.
a. 22, 19, 16, 13, …
First we will find common difference
The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]
where a_n is nth term, a_1 is 1st term and d is the difference
Looking at the sequence we get: a_1=22, a_2=19
Using these values we can find d, the common difference
[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]
So, the common difference d is d = -3
Now, we will find the recursive formula:
The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]
We have found common difference d = -3
So, the recursive formula will be:
[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]
The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]
River otters drink about 5 times as much water as a bald eagle drinks in a day.
How much water can a river otter drink in three days?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
A river otter drinks liters in three days.
Answer:
80
Step-by-step explanation:
You have to multiply .16 times 5, and that gets your answer, 80!
HELP ASAP.
WILL GIVE BRAINLIEST
Answer:
yay
Step-by-step explanation:
ty
How many fewer 14 starfish are there than 16 jellyfish and 4 sharks
Answer:
6 fewer starfish
Step-by-step explanation:
16+4=20
20-14=6
6 fewer starfish are there.
A chemist has a solution of 65% pure acid and another solution of 30% pure acid. How many gallons of each will make 350 gallons of 55% pure acid solution?
Answer:
250 of 65% acid
100 gallons of 30% acid
Really sorry if this is incorrect, I had this question on my Lesson 16 test, and I don't know if it's correct or not...
Following are the calculation to the given question:
Assuming
x=The number of gallons of pure acid [tex](50\%)[/tex]
y = The number of liters of pure acid at [tex](80\%)[/tex] a concentration
[tex]\to x+y = 350[/tex]
The total quantity of gallons of each of the two types of pure acids............(1)
[tex]\to 0.65x+0.30y = 0.55(x+y)[/tex]
the mixture's acidity
[tex]\to 0.65x+0.30y = 0.55(350)\\\\\to 0.65x+0.30y = 192.5 ..........(2)[/tex]
So we have two equations and two variables to work with.
[tex]\to x+y = 350\\\\\to 0.65x+0.30y = 192[/tex]
multiply the first equation by [tex]0.30[/tex]
[tex]\to 0.30x+0.30y = 105\\\\\to 0.65x+0.30y = 192[/tex]
Subtract the second equation from the first
[tex]\to 0.35x = 87\\\\\to x = 248. 57 \approx 248 \ gallons\\\\ \to y = 350-248 = 102\ gallons\\\\[/tex]
As a result, we'll need 248 gallons of 65% pure acid and 102 gallons of 30% pure acid.
Learn more:
brainly.com/question/16352400
Fred Friedman writes a $45 check for groceries, but his account has only $20 in it. If an account becomes overdrawn, (not enough money to pay for the transaction), his bank charges a $20 overdraft fee. The grocer has not cashed Fred's check yet. How much is in Fred's account at the end of the day? $20 $40 O $45 $65
Answer:
$45
Step-by-step explanation:
This is because the money from Fred's account hasn't been withdrawn yet.
Answer: I have to go with 65
Step-by-step explanation: I think Since he wrote the 45 dollar check I just added 45 to 20 and got 65, because the amount he have in his bank account plus the one check he wrote
LCM of 189024
please give me answer my question
Answer:
360
Step-by-step explanation:
We need to find the LCM of 18,90 and 24.
The prime factorization of 18 = 2 × 3 × 3
The prime factorization of 90 = 2 × 5×3×3
The prime factorization of 24 = 2 × 3×2×2
LCM is least common multiple.
LCM = 2 x 2 x 2 x 3 x 3 x 5
= 360
Hence, the LCM of 18,90 and 24 is 360.
What involves examining and evaluating information, as well as weighing alternatives and considering consequences?
Answer: Critical Thinking.
Step-by-step explanation:
Critical thinking is the process of conceptualizing, applying, analyzing, synthesizing, and/or reviewing data acquired from, or generated by, observation, experience, reflection, reasoning, or communication actively and skillfully as a guide to intellectually disciplined belief and action.
During a basketball game, the coach needs to select a player to make the free throw after a technical foul on the other team. There is a 68% chance that the coach will select you and a 26% chance that the coach will select your friend. What is the probability that you or your friend is selected to make the free throw?
For the probability of you or your friend add the probability of each together:
68% + 26% = 94% (0.94 if you need it as a decimal)
Answer: there's an 42 percent chance that your friend might make a free throw.
Step-by-step explanation: if u subtract u will get your answer that's bow i got this answer.
Add these two expressions … 15.5y - 10.3 and -35.4y + 5
Answer:
-19.9y-5.3
Step-by-step explanation:
Solve the inequality.
X + 25 < 33
O A. x< 58
B. x < 8
C. X> 58
O
D. X > 8
Answer:
x < 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
x + 25 < 33
Step 2: Solve for x
Subtract 25 on both sides: x < 8Here we see that any value x smaller than 8 would work as a solution to the inequality.
Write an expression, using an exponent that is equivalent to 6 x 6 x 6 x 6 x 6.
Answer:
6^5
Step-by-step explanation:
put the 5 and make it tiny on top of the 6
Answer:
6^5 to give u the same thing as 6×6×6×6×6×6
A chocolate chip cookie recipe calls for 2 cups of chocolate chips for every 3 3/4
cups of flour. How much flour would you use if you only had 1 cup of chocolate
chips?
9514 1404 393
Answer:
1 7/8 cups flour
Step-by-step explanation:
Half the quantity of chocolate chips will call for half the quantity of flour:
(3 3/4 cups)/2 = (15/4 cups)/2 = 15/8 cups = 1 7/8 cups of flour
Are the two statements equivalent? Explain your reasoning.
The ratio of orange to blue is 3 to 4.
The ratio of blue to orange is 12 to 9.
Question
-2(8)=
I really need help please! I will pay u back with good things! :)
Answer:
-2(8)=16
Step-by-step explanation:
-2(8) is equal to -2 times 8/ -2 x 8
So 2 times 8 is 16, but since it's negative 2 it takes the negative sing
A ball is launched upward from the ground with an initial velocity of 20 ft/s. The height of the ball at time t is represented by the function h(t) h(t) = -1612 + 20t, where t is measured in seconds and h(t) is measured in feet Drag the values to the lines to complete each sentence. The ball reaches its maximum height when t is seconds. The maximum height of the ball is feet. The balls hits the ground when tis seconds.
Answer:
its 5 seconds
Step-by-step explanation:
hope it helps not like that other guy
how do i write an equation in point-slope form for a horizontal line that passes through(4, –2)??
Answer:
[tex]y = -2[/tex]
Step-by-step explanation:
Given
Horizontal Line
[tex](x_1,y_1) = (4,-2)[/tex]
Required
Determine the equation
The equation is calculated using:
[tex]y - y_1 =m(x-x_1)[/tex]
Where
[tex]m = slope[/tex]
Because the line is a horizontal line, then:
[tex]m = 0[/tex]
Substitute 0 for m and values for x1 and y1 in [tex]y - y_1 =m(x-x_1)[/tex]
[tex]y - (-2) = 0(x -4)[/tex]
[tex]y +2 = 0(x -4)[/tex]
[tex]y +2 = 0[/tex]
Subtract 2 from both sides
[tex]y +2-2 = 0-2[/tex]
[tex]y = -2[/tex]
Hence, the equation is: [tex]y = -2[/tex]
Need help will give 15 points!!
Answer:cool
Step-by-step explanation:
What is the measure of angle L?
What is the length of JL?
What is the length of KL?
Please help
Answer:
53
Step-by-step explanation:
[tex]K+J+L = 180\\90 + 37 + L = 180\\L = 53[/tex]
the ratio of boys to girls in a class is 4:5 what frqction if the class are boys
Answer:
4/9 to 5/9
Step-by-step explanation:
So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.
In how many ways can Anna arrange 2 math books, 3 physics books, and 5 chemistry books on her shelf if all books of the same subject must be adjacent? (The books are distinguishable.)
Answer:
8640 waysStep-by-step explanation:
Arranging the books of each subject:
Math:
Combination of 2 books → 2! = 2Physics:
Combination of 3 books → 3! = 6Chemistry:
Combination of 5 books → 5! = 120We also need to consider the subjects.
There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways
So the total number of combinations is:
2*6*120*6 = 8640Answer:
2 maths books can be arranged as (2!=2) ways 3 physics books can be arranged as (3!=6) ways5 chemistry books can be arranged as (5!=120) waysBooks can be arranged in suject-wise in (3!=6) waysHence, total ways are (2×6×120×6) ways =8640 ways.
8640 is the right answer.the price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased ?
You spend $75 on a meal including tax and want to leave a tip that is 20% of the $75. What is the total cost, with the tip? The cost of your meal, with the tip, is $(answer)
Answer:
The total cost = $90
Step-by-step explanation:
As, $75 is the cost of the meal
And tip is 20%
So 20% of $75 = 15
So, the tip = $15
So, total = Cost of meal + tip
= $75 + $15 = $90
Factor the expression using the GCF. 44-11 I NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11(4-1)
Step-by-step explanation:
11 is the greatist common factor of 44 and 11 so you factor an 11 out of both terms
44/11=4
11/11=4
Therefore the answer is 11(4-1)
What is the total amounted sap the tees produced that day
Answer:
5 gallons
Step-by-step explanation:
i have done this lesson before
(please will someone help me please). write the equation of the line in the graph the two points on the line are located at (0, 3) and (6,-1) multiple choice answers are . Y=3x. Y=1/3x+3. Y=2/3x+3. Y=-6x
Answer:
c) y=2/3x+3
Step-by-step explanation:
im pretty sure this is right :)
b) The price of a computer was $375. In a sale, the price was reduced by 15%. Calcuate the reduction
in the price of the computer
Can someone please help? :)
Answer:
5
Step-by-step explanation:
Answer:
42.....? i dont know-if im wrong im so sry-im bad at this stuff
Step-by-step explanation:
happy new year!
Write the equation that describes the line with slope = 4 and y-intercept = -2 in slope-intercept form.
Answer:
2 66
Step-by-step explanation:
beacuse ima gansta and you a cracka so whats up with it
If a bus travels at 48MPH how long will it take to be able to travel 60 miles
Vocabulary: How are integers and their opposites related? Select all that are true.
