Write the first five terms of the geometric sequence, given a1= -16 and r= -1/4
Answers
Answer: -16, 4, -1, 1/4,?
Step-by-step explanation: the nth term of a GP is given by Un= ar^n-1
Where n= the term.
So substituting the values for each term will give you the answer above. I don't know if it's tiredness or what but my fifth term gives me the same value as my fourth term.
Related Questions
Use the properties of logarithms to determine the value of logb 1. Explain your reasoning.
Answers
Answer:
[tex]log_b 1 = 0[/tex]
Step-by-step explanation:
Given
[tex]log_b 1[/tex]
Required
Solve
[tex]log_b 1[/tex]
Express 1 as [tex]b^0[/tex]
[tex]log_b 1 = log_b b^0[/tex]
Apply power rule of logarithms
[tex]log_b 1 = 0 * log_b b[/tex]
Multiply by 0
[tex]log_b 1 = 0[/tex]
Answer:
logb 1 = 0
Step-by-step explanation:
Suppose that logb 1 = x.
Using the definition of a logarithm, bx = 1.
The only way a number that’s not equal to 1 can be raised to a power and equal 1 is if the exponent is 0. So, x = 0.
Therefore, logb 1 = 0.
Each card in a set of cards has one of the letters from the word MATHEMATICS. The cards are shuffled. Suppose you draw a card from the set of cards, record the letter, return the card to the set, and shuffle the cards. You repeat this experiment 22 times. Would you expect the experimental probability of drawing a vowel to be the same as the theoretical probability? YES or NO and Explain you answer
Answers
Answer:
No
Step-by-step explanation:
Theoretical probability is the expected probability of anything. For example we expect a probability of 1/6 for each number when we roll a die .
Experimental Probability is the one that is obtained by the actual experimenting of rolling the die.
The theoretical probability is the example of perfect probability and experimental probability is the example of actual occurrence.
Their formulas are
Theoretical Probability = number of possible outcomes/ total number of possible outcomes
Experimental Probability = number of favorable outcomes/ total number of actual outcomes
If we a roll a fair die several times we may get 2 repeated number of times or any other number that is on the die.
So the experimental probability is bit different from the theoretical probability.
Now if the cards are shuffled and the experiment is repeated 22 times
experimental probability of drawing a vowel would not be the same as the theoretical probability because n is small.
If n→1000 or more
n→∞
According to K. Pearson or Buffon when n tends to infinity the theoretical probability becomes equal to experimental probability.
They experimented this on a coin and put forward their results.
5. Each polygon circumscribes a circle. Find the perimeter.
1.9 in.
3.7 in.
in
3.6 in.
A) 14.2 in
B) 16.8 in
C) 18.2 in
D) 20.1 in
Answers
See the diagram of the circumscribed polygon attached below:
Answer:
A. 14.2 in.
Step-by-step explanation:
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g
Let's find g.
a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)
b = 3.4 - 1.9 = 1.5 in.
b = c = 1.5 in. (Tangents drawn from an external point)
d = 3.6 - 1.5 = 2.1 in.
d = e = 2.1 in. (Tangents drawn from an external point)
f = 3.7 - 2.1 = 1.6 in.
f = g = 1.6 in. (Tangents drawn from an external point)
✔️Therefore,
Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.
Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours
Answers
Answer:
Step-by-step explanation:
Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours
This is calculated as:
1/ number of hours for Renee + 1/ number of hours for Geneva = 1/ Total number of hours that they can do it together
= 1/16 + 1/12 = 1/T
Lowest common denominator = 192
= 12 + 16/192 = 1/T
= 28/192 = 1/T
Cross Multiply
28T = 192 × 1
T = 192/28
T = 6 24/192 hours
Answer:
its b
Step-by-step explanation:
i just took the test :)
I need help I don’t understand this thank you so much
Answers
Answer:
The answer is 3,200 oz.
Step-by-step explanation:
Because since 16 oz. is equal to 1 pound, you can multiply 16 and 200 and get a result of 3,200
The perimeter of a rectangular building is 462 meters. It is 131 meters long. How wide is it?
Answers
131 x 2 = 262
462 - 262 = 200
200 / 2 = 100
In the first quarter of the game,the giants gained 5 yards,lost 13 yards,gained 2 yards,gained 6 yards and,unfortunately,lost 12 yards in their final play.
1.Use a number line to depict the Giants' activity in the first quarter.
2.Use addition only to illustrate the Giants' activity in the first quarter.
3.What was the net yardage for the Giants in the first quarter.
Answers
Answer:
5 + (-13) + 2 + 6 + (-12) ;
-12 yards
Step-by-step explanation:
5 yards gain = + 5
13 yard loss = - 13
2 yards gain = + 2
6 yards gain = + 6
12 yards loss = - 12
Using addition Rule :
5 + (-13) + 2 + 6 + (-12)
The net yardage :
5 - 13 + 2 + 6 - 12 = - 12
Net yardage = - 12 yards
I need to know what X solves for
Answers
Answer:
x= 30
Step-by-step explanation:
triangle is equal to 180 n we know c=90 so now we're just looking for the other 90 so 3x=90 n solve for x
sorry im bad at explaining
Answer:
X = 30
Step-by-step explanation:
using the formula 1 =PxRxT what is the interest on a $500 tv at 2% rate for 2 years
Answers
Answer:
$20.
Step-by-step explanation:
2% = 0.02.
Interest = 500*0.02*2
= $20.
A figure has 4 sides with two sets of parallel sides
Answers
Answer:
It can be a square!
Step-by-step explanation:
Answer:Parallelogram
Step-by-step explanation: Parallelogram: A quadrilateral with 2 pairs of parallel sides
This is a Single Choice Question; skip ahead to question content
A
B
C
D
E
Confirm
A disinfectant spray bottle says it eliminates 90% of bacteria with each application. You apply the disinfectant once to a countertop in the shipping department and then apply the disinfectant again to the same countertop. If the bottle is correct, what percentage of the bacteria originally on the tabletop have been eliminated?
81%
90.09%
90.9%
99%
180%
Answers
whats the answers??????????????
Answers
the arrows pointing to 36
A) 37
B) 6.4
C) 8.58
HELP ASAP PLEASE I'LL MARK BRAINLIEST
Answers
Answer:
the answer is C
Mr. Bates and Mr. Z want to refinish the community center gym floor. The rectangular floor is 15.2 m wide and 25.6 long. If each gallon of polyurethane covers about 180 square meters, how many gallons should Mr. Bates and Mr. Z buy? *
Answers
Answer:
3 gallons
Step-by-step explanation:
area = 15.2 x 25.6 = 389.12 m²
389.12/180 = 2.16
Martin paid $6 for4 avocados at a farm stand. He wants to know what the price would be if he bought 6 avocados
Answers
Answer:
$9
Step-by-step explanation:
divide 6/4 to get the price per avacado so its $1.5 per avacado.
multiply 1.5 x 6 = 9
X désigne un nombre quelconque. Exprimer à l'aide d'une expression littérale : a. La somme de x et de 12 b. Le produit de x par 5 c. La différence entre 17 et x d. Le quotient de x par 9
Answers
Answer:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
Step-by-step explanation:
L'expression littérale est la suivante
a) La somme de x et 12 b
Solution
X + 12b
b) Le produit de x par 5
Solution
X * 5
c) La différence entre 17 et x
Solution
17-X
d) Le quotient de x par 9
X / 9
- A school is using 12 passenger vans to transport
students on a field trip. Write an expression
represent the number of vans needed for (s)
students
Answers
Answer: s/12 = v
Step-by-step explanation:
PLEASE HELP!!!!
Given f(x).... what is lim f(x)?
Answers
Answer:
[tex] \pi[/tex]
Step-by-step explanation:
[tex] Lim_{x \to\pi} f(x) [/tex]
[tex] =Lim_{x \to\pi} \pi [/tex]
([tex] \because for\: x =\pi, \: f(x) = \pi[/tex])
[tex] = \pi [/tex] (Applying limit)
If the equation of a circle is (x + 4)2 + (y - 612 = 25, its center point is
(4,6)
(4,6)
(4,-6)
Answers
Answer:
Center point: [tex](-4,6)[/tex]
Radius: [tex]r=5[/tex]
Step-by-step explanation:
The equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center point of the circle and [tex]r[/tex] is the radius of the circle.
Given our equation [tex](x+4)^2+(y-6)^2=25[/tex], we can see that [tex](h,k)[/tex] is [tex](-4,6)[/tex] and since [tex]r^2=25[/tex], our radius is [tex]r=\sqrt{r^{2} } =\sqrt{25} = 5[/tex]
Therefore, the center point is [tex](-4,6)[/tex] and the radius is [tex]r=5[/tex]
Solve for the length of x
Answers
Answer:
[tex]\boxed {\boxed {\sf x\approx 63.7}}[/tex]
Step-by-step explanation:
This is a right triangle. We know this because there is a small square in the corner representing a 90 degree/right angle. Therefore, we can use the right triangle trigonometry ratios.
sinθ= opposite/hypotensue cosθ= adjacent/hypotenuse tanθ= opposite/adjacentWe are given angle A which measures 37 degrees.
Side BC which measures 48 is opposite angle A and the unknown side, x, is next to or adjacent to angle A.
We should use tangent.
[tex]tan \theta= \frac{opposite}{adjacent}}[/tex]
[tex]tan37= \frac {48}{x}[/tex]
Since we are solving for x, we must isolate the variable. First, cross multiply. Multiply the first numerator and the second denominator, then the first denominator and second numerator.
[tex]\frac {tan37}{1}=\frac {48}{x}[/tex]
[tex]tan37*x=48*1[/tex]
[tex]tan37*x= 48[/tex]
x is being multiplied by the tangent of 37. The inverse of multiplication is division, so we divide both sides by the tangent of 37.
[tex]\frac {tan37 *x}{tan37}=\frac{48}{tan37}[/tex]
[tex]x= \frac{48}{0.7535540501}}[/tex]
[tex]x=63.69815144[/tex]
Even though it is not specified, let's round to the nearest tenths place. The 9 in the hundredth place tells us to round the 6 up to a 7.
[tex]x\approx 63.7[/tex]
The unknown side is approximately 63.7 units long.
Please help! Thanks in advance!!
Mrs. Smith has a 34-pound bag of sugar to use for 6 cakes. How much sugar, in lbs, is used for each cake? Round your answer to the hundredths
Answers
Answer:
5 2/3 pound of 1 cake
Step-by-step explanation:
34 / 6 =
(30 / 6) + (4 / 6) =
5 + 2/3 =
5 2/3
The school that Sarawong goes to is selling tickets to a play. On the first
day of ticket sales the school sold 13 senior citizen tickets (s) and 5 child
tickets (c) for a total of $125. The school took in $85 on the second day
by selling 5 senior citizen tickets and 5 child tickets. What is the price
each of one senior citizen ticket and one child ticket?
Write the two equations to solve the system first. Use s for senior
citizens and use c for child. Show all work using the method you prefer.
Equations:
Answers
Answer:
12s + 5c = 125
5s + 5c = 85
price of senior citizen ticket = $5.71
price of a child's ticket = $11.29
Step-by-step explanation:
This question can be solved using simultaneous equation
12s + 5c = 125 equation 1
5s + 5c = 85 equation 2
subtract equation 1 from 1
7s == 40
s = 40/7 = 5.71
Substitute for s in equation 1
12(5.71) + 5c = 125
68.57 + 5c = 125
5c = 125 - 68.57
5c = 56.43
c =11.29
What type of model does the data suggest?
Answers
NEED HELP ASAP TAKING TEST-On average, a person’s body temperature should be approximately 98.6°F. A doctor would like to test the hypotheses H Subscript 0 Baseline: mu = 98.6 versus H Subscript alpha Baseline: mu not-equals98.6 where μ = the true mean body temperature of all adults. Before conducting the test, the doctor determines that the power of the test to reject the null hypothesis when μ = 98 using α = 0.01 and n = 10 is 0.2474. What combination of sample size and significance level would increase the power of this test the most?
use n = 5, alpha = 0.05
use n = 5, alpha = 0.10
use n = 20, alpha = 0.05
use n = 20, alpha = 0.10
Answers
Answer:
D I think,
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answers
Answer:
2.a..A=1/2 ×1.0×2.4=1.2m²
b.area of rectangle button=l×w=2.4×2.8=6.72m²
c.area of back =l×w=1.0×2.8=2.8m²
d.area of top =l×w=2.8×2.6=7.28m²
3.
total area =2×area of traingular side +area of rectangle button+c.area of back+area of top
=2×1.2+6.72+2.8+7.28=19.2m²
4.Assumption
total area of triangular prism is
sum of area if each faces.
select the graph that matches the function y=3x+7
Answers
Answer:
the second option
Step-by-step explanation:
Two partners are starting a new business. The total investment is $52,000.
Their investments are in the ratio 3:7. How much does each investor contribute?
Answers
Answer:
One partner will pay $15600 and the other would pay $36400
Step-by-step explanation:
52000 ÷ (3 + 7) =
52000 ÷ 10 =
5200
5200 x 3 = 15600
5200 x 7 = 36400
Parts for an automobile repair cost $173. The mechanic charges $32 per hour. If a person receives an estimate for at least $253 and at most $285 for fixing the car, what is the time interval that the mechanic will be working on the job?
Answers
Answer:
58
Step-by-step explanation:
The time interval for the mechanic for this job is at least 2 hours and 30 minutes or at most 3 hours and 30 minutes.
What is at least and at most concept ?At least means lower limit of a given contrast and at most means higher limit of a given contrast.
According to the given question parts for an automobile repair cost 173 dollars and the mechanic charges 32 dollars per hour.
Given the person receives a cost of at least 253 dollars.
∴ The mechanic's total rate is ( 253 - 173 ) dollars which is = 80 dollars.
Also given the mechanic charges 32 dollars per hour so the time mechanic work for is at least (80/32) hours which is = 2.5 hours or 2 hours and 30 minutes.
In the later case when the owner receives a bill of 285 dollars the total rate of mechanic is
= ( 285 - 173 ) dollars.
= 112 dollars.
So, the mechanic have worked for (112/32) hours which is
= 3.5 hours or 3 hours and 30 minutes.
learn more about at least and at most here :
https://brainly.com/question/13015019
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Select all ratios equivalent to 3:5.
A) 24:40
B) 33:55
C) 4:6
Answers
Answer:
A and B
Step-by-step explanation:
Answer: B and A
Step-by-step explanation:
B, because if you divide 33:55 by 11 it equals 3/5
A, becuase 14:40 divded by 8 equals 3:5
The bus left Little Rock at 3:10pm and arrived at Dallas at 7:40pm. How long did it take to get from one town to the other?
Answers
Answer:
4 hrs 30 mins
Step-by-step explanation: