Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]
[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]
The common ratio between third term 50 and second term 100 is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]
Hence, the common ratio is 1/2.
To know more about the Common ratio click the link given below.
https://brainly.com/question/13162487
A store starts the day with 36 packages of juice boxes.Each package contains the same number of juice boxes.By the end of the day,ther are only 8packages of juice boxes left.
Answer:
Number of package sold = 24 package
Step-by-step explanation:
Given:
Total number of package = 36
Remain package = 8
Computation:
Number of package sold = Total number of package - Remain package
Number of package sold = 36 - 8
Number of package sold = 24 package
Lamar drinks 8 ounces of water with breakfast, 6 ounces of water with his vitamins, 16 ounces of water with his lunch, 16 ounces of water with his dinner, and 32 ounces of water from a bottle he carries throughout the day. Write and evaluate a numerical expression for the amount of water in ounces that he drinks in a week.
Given:
Lamar drinks water with,
Breakfast = 8 ounces
Vitamins = 6 ounces
Lunch = 16 ounces
Dinner = 16 ounces
Bottle = 32 ounces
To find:
The a numerical expression for the amount of water in ounces that he drinks in a week.
Solution:
One day consumption of water by Lamar is
[tex]8+6+16+16+32=78[/tex]
We know that,
1 week = 7 days
One day consumption of water = 78 ounces
1 week (7 days) consumption of water = 7× One day consumption of water
= 7×(8+6+16+16+32) ounces
= 7×78 ounces
= 546 ounces
Therefore, the required numerical expression for the amount of water in ounces that he drinks in a week is 7×(8+6+16+16+32) ounces and the value is 546 ounces.
Naomi can make 20 tacos in 10 minutes. How many tacos can she make in 1 minute?
Answer:
2 tacos
Step-by-step explanation:
10 × 2 = 20
1 × 2 = 2
LOOK AT THE PICTURE
Please help I’m on a test will mark brainliest!
Answer:
2/7
Step-by-step explanation:
You have to flip the fraction to check, you see what times 3 gets you six... 2!
then what times one gets you 7.. 7! and that how you get 3/7
Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle
Answer:
acute angle
Step-by-step explanation:
just took the test
help find this please
Answer:
B
Step-by-step explanation:
4 ten and 17 hundredth in decimals UNSERIOUS ANSWERS REPORTED
Answer:
40.17
Step-by-step explanation:
4 ten: 4 × 10 = 40
17 hundredth: 17 × 0.01 = 0.17
4 ten and 17 hundredth in decimals: 40 + 0.17 = 40.17
find the length of the side of a square with a perimeter of 128 meters
Answer:
32 Meters
Step-by-step explanation:
A square has 4 equal sides so all you have to do is divide 128 by 4
........................divide
Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.
Answer:
Yes this statement is correct.
Step-by-step explanation:
just mental math
The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.
We are told that;
BC is parallel to CF
Now, we are told that;
∠OLF = ∠OMG
We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF
Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.
In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.
Read more about corresponding angles at; https://brainly.com/question/12054594
And a survey of 500 households 23% say that they have a dog as a pet the standard deviation is 2% determine an interval that if I need to contain the 95% of all households who has a dog as a pet
Answer:
(114.123, 115.877)
Step-by-step explanation:
Given that :
Sample size (n) = 500
Mean = 23% of 500 = 115
Standard deviation (s) = 2% of 500 = 10
α = 95%
Zcritical at 95% = 1.96
Confidence interval = Mean ± Error
Error = Zcritical * standard deviation /sqrt (n)
Error = 1.96 * 10/sqrt(500)
Error = 0.8765386
Lower boundary : 115 - 0.8765386 = 114.1234614
Upper boundary : 115 + 0.8765386 = 115.8765386
(114.123, 115.877)
The measure of angle DCF is ... degrees?
Answer: Yes, The measure of DCF is degrees.
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
write the equation of the line that passes through two points in slope intercept form (-8,1) and (2,-4)
Answer: Answer and explanation in pic
Step-by-step explanation:
(WORTH 20 POINTS) Please help I don't know how to do this
In your own words, what do the terms sales tax and discount mean? Is a 5 percent sales tax a percent of increase or decrease? What about a 15 percent discount?
lol help-
Answer:
Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps
Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)
Sales Tax = Sales Tax rate * Sale Price.
Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?
Divide the number you wish to add 5% to by 100.
Multiply this new number by 5.
Add the product of the multiplication to your original number.
Enjoy working at 105%!
Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β
Answer:
i have
Step-by-step explanation:
i dont even know good luck
what is
-5x-y=21
y=4x+6
Answer:
(x,y)= (-3,-6)
Step-by-step explanation:
Answer:
Substitution substitution
Step-by-step explanation:
(-3,-6)
or
x= -3 y=-6
6. Which of the following lines is perpendicular to the line **
4y = -- 24 and passes through the point (6 - 2)
(A) y a 4x 22
(B) yax - 22
(C) y = 22
(D) y - 4x-22
(E) = 4x+18
Answer:b
Step-by-step explanation:
Its correct
convert 3 4/5 into a improper fraction with steps please
Answer:
Step-by-step explanation:
((3×5)+4)/5=
19/5
The improper fraction is 19/5.
We have to convert [tex]3 \dfrac{4}{5}[/tex] it into an improper fraction.
To convert into an improper fraction calculation must be done in a single unit following all the steps given below.
Step1; Write the fraction into simple fractions,[tex]= \dfrac{3 \times 5 + 4}{5}[/tex]
Step2; Solve the following equation.[tex]=\dfrac{15+4}{5}\\\\=\dfrac{19}{5}[/tex]
Hence, The improper fraction is 19/5.
To know more about Fractions click the link given below.
https://brainly.com/question/21449807
How do I find the measurement indicated in each parallelogram.
Answer:
17) 23
18) 12
Step-by-step explanation:
17
x+15 = 7+2x
x-2x = 7-15
-x= -8
x=8
WX = x+15
= 8+15
= 23
18
2x = 3x-6
2x -3x = -6
-x = -6
x = 6
EF = 3x-6
= 3(6) -6
= 18 -6
= 12
Solve the inequality. 4v + 9 ≤ 5 or -3 >= -6
Answer:
v ≤ − 1 or Always true
Step-by-step explanation:
I hope this helps!
Answer:
v ≤ − 1
Step-by-step explanation:
At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?
Answer:
25(b) + 4 = 129
Step-by-step explanation:
b=5
25(5) + 4=129
Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.
Answer:-3/5
Step-by-step explanation:
Rise over run
n + 1 < −8
the solution of the inequality is ____?
Answer:
n < -9
Step-by-step explanation:
Subtract 1 from both sides: n < -8 -1
Simplify -8 -1 to -9
n < -9
Brainliest Please!!?!!!
- Hermionia
Geometry...Please help as soon as possible please and Thank you so much!
Answer:
Step-by-step explanation:
Statement1. ∠KJL ≅∠LMK (A)
Reason1. Given
Statement2. ∠JKL≅∠MLK (A)
Reason2. Given
Statment3. KL≅KL (S)
Reason3. Reflexive propriety
Statemnt 4. ΔJKL≡ΔLMK
Reason 4. AngleAngleSide congruency theorem
PLS I NEED THIS TO BE DONE IMMEDIATELY PLS PLS ;-;. which has the greater maximum value: f(x)=-3x^2+6x4, or g(x), the function in the graph
A. f(x)
B. the functions have the same maximum value.
C. g(x)
Answer:
A.f(x)
Step-by-step explanation:
Sup dude it's been a while since khelcee talked to us.
the bee hummingbird is the smallest bird. it can weigh as little as 2 grams. the largest bird, the ostrich, can weigh as much as 150 kilograms. the hummingbird's weight is what percent of the ostrich weight?
Answer:
1.3%
Step-by-step explanation:
i dont have an explanation
I need help ASAP x-3/8=3/20
Answer:
Step-by-step explanation:
6/8 can be simplified to 3/4. Therefore the answer is C. 20 X 3/4
Answer:
[tex]x=0.525[/tex] or [tex]x=\frac{21}{40}[/tex]
Step-by-step explanation:
PLZ HELP ME 30 POINTS TROLLERS WILL BE REPORTED
Answer:
56.25 B (haha troll go brrr)
Step-by-step explanation:
the ratio of the triangle measurements are:
60/45=75/x
60x=3375
x=56.25, therefore the distance of the new bridge is 56.25
please solve will give brainiest
Step-by-step explanation:
BODMAS
155.5-5.5*20.7
155.5-113.85
=41.65
Answer:
41.65
Step-by-step explanation:
155.5-(5.5*20.7) order of operation
155.5-113.85=
41.65
Which are the solutions of the inequality − 2x > − 4?
Choose all that apply.
A 2
B 1.5
C 1
D 3.5
E 2.5
F −2
ASAP!!!!!!!
Answer:
B,C&F
Step-by-step explanation:
-2x>-4
multiplied by -1 gives 2x<4
And you devide both sides by 2 you get x<2
The numbers smaller than 2 in your options are 1,1.5 and -2