Answer:
y=5, x=0. that is the first. I'll leave the rest to you.
Step-by-step explanation:
Pls help I’ll give you branliestttttt
In a GP, the sixth term is eight times the tenth term. The sum of the seventh and the eighth term is 192. Find the common ratio and the first term?
Let a(n) denote the n-th term in the GP. We're given
a(6) = 8a(10)
a(7) + a(8) = 192
In a geometric progression, consecutive terms are scaled up or down by a fixed ratio r such that
a(n) = r a(n - 1)
By substitution, we get
a(n) = r (r a(n - 2)) = r ² a(n - 2)
and we can continue the pattern down to the first term,
a(n) = r a(n - 1) = r ² a(n - 2) = r ³ a(n - 3) = … = rⁿ ⁻¹ a(1)
So we can rewrite the first two equations in terms of the first term of the GP a(1) and the common ratio r :
r ⁵ a(1) = 8r ⁹ a(1)
r ⁶ a(1) + r ⁷ a(1) = 192
Solve the first equation for r :
r ⁵ a(1) = 8r ⁹ a(1) → 1 = 8r ⁴ → r = 1/∜8 ≈ 0.5946
Solve the second equation for a(1) :
r ⁶ a(1) + r ⁷ a(1) = r ⁶ a(1) (1 + r ) = 1/(16√2) a(1) (1 + 1/∜8) = 192
→ a(1) = 6144 ∜2 / (1 + ∜8) ≈ 2724.48
Question 18 of 25 Which of the following statements are not true regarding functions? Check all that apply. O A. A function is a relation in which each value of the input variable is paired with at least one value of the output variable. B. A sequence is a function whose domain is the set of natural numbers. I C. The vertical line test may be used to determine whether a function is one-to-one. OD. The horizontal line test may be used to determine whether a function is one-to-one.
the answer is I C and OD. I hope this helps
Need help can someone plz help me
Answer:
16.67%
Step-by-step explanation:
part: 400
percent: x
whole: 2,400
400=x(2,400)
divide both sides by 2,400 to get .1666
.1666=x
move the decimal inwards two times to make it a percentage, and round up the last didget
16.67%
(BRAINIEST AND 7 POINTS !) One year ago Derek joined a health club. He paid a yearly membership fee of $28 that covered all the club's services except the raquetball
court. Derek paid an additional $7 each time he used the raquetball court. For the entire year at the health club, Derek paid a total of $119.
PART 1: Write an equation to represent the number of times (x) that Derek used the raquetball court.
Equation:
PART 2: Solve the Equation your wrote for part 1.
X=
—————————————
This is worth 60% of my grade ! Please help.
Answer: 7x+28=119
x=13
Step-by-step explanation:
Answer:
119= 7x + 28
x=13
Step-by-step explanation:
This problem requires an equation. y= mx+ b, where y is your total, mx is your slope, and b is your y intercept. Your total is 119, your yearly fee is 28 ( which is b since it only happens ones), and 7 is x (since x represents each time) So 119=7x+28. Now to solve this we would subtract 28 from both sides and then divide that number by 7. So 119-28 is 91. 91/7 is 13. He used the racketball court 13 times. You can plug 13 to make sure.
119= 7(13) + 28.
Select ALL the values that make the inequality true: n>-6
А. -8
B.-5
C.6
D-1
Answer:
The answer to the question is A.-5 D.-1
To test the effectiveness of a drug proposed to relieve symptoms of depression, psychiatrists recruited volunteers for clinical tests. All of the volunteers were diagnosed with symptoms of depression. The psychiatrists provided the drug to first group and a sugar pill to the second group. In the description of the above situation, determine the control group.
Answer:
The control group is the group that takes the sugar pill
Step-by-step explanation:
In drug testing, to determine the efficacy of a drug, different groups of experimental subjects are recruited, one group is given the drug to be tested (treatment group) while another group is given a placebo.
A placebo is a fake version of the drug to be tested that does not have any therapeutic effect on the test subjects that receive it. In this case, the control group receives the placebo which is the sugar pill. They serve as the baseline of measurement when the outcome of the effect of the drug testing is done. The groups that received the actual drugs are compared against the groups that received the hoax treatment, and any change occuring in the test subjects become the changes occuring as a result of the test drug used, when the observations on the control group has been ruled out.
pls plz plz i need the answers help me
Answer:
24 units squared
Step-by-step explanation:
Answer:
24 square units
Step-by-step explanation:
Hope that helps and good luck on your Quizizz!
raíz cuadrada de 19384
Answer:
WHat does that mean?/
Step-by-step explanation:
An elementary school class ran 1 mile in an average of 11 minutes with a standard deviation of 3 minutes. Rachel, a student in the class, ran 1 mile in 8 minutes. A junior high school class ran 1 mile in an average of 9 minutes, with a standard deviation of 2 minutes. Kenji, a student in the class, ran 1 mile in 8.5 minutes. A high school class ran 1 mile in an average of 7 minutes with a standard deviation of 4 minutes. Nedda, a student in the class, ran 1 mile in 8 minutes.
Required:
a. Why is Kenji considered a better runner than Nedda, even though Nedda ran faster than he?
b. Who is the fastest runner with respect to his or her class? Explain why.
Answer:
Step-by-step explanation:
a.
Kenji ran faster than the class average by 0.25 of a standard deviation while Nedda was slower than the average in her class.
b.
Rachel: average - 1st deviation
Kenji: average - 0.25 standard deviation
Nedda: slower than average so it's definitely not her.
Since Rachel is faster than the average and differs by the most standard deviations compared with Kenji,
So, Rachel is the faster one.
A map has a scale of 2.5 inches : 4 miles. If two cities are 6 inches away from each other on the map, how far apart are they in real life?
Answer:
14.4
Step-by-step explanation:
2.5 divided by 6 is 2.4
2.4 x 6 = 14.4
Maria has 6 pizza slices and wants to split them among her and 8 other friends. If each person gets the same amount, how much of the pizza slice will each person get?
Answer:
1 if u cut all of them in half
Step-by-step explanation:
Can some one help plz
Given:
The parent function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex]
The translated function is
[tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex]
To find:
The correct statement from the given options.
Solution:
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex]
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
In the parent function we have x in the power but in the translated function we have (x+3). So, a=3>0, the graph shifts 3 units left.
In the translated function, we have b=-2<0, so the graph shifts 2 units down.
The graph of [tex]f(x)=6\left(\dfrac{1}{8}\right)^{x+3}-2[/tex] is a horizontal shift to the left 3 units and a vertical shift down 2 units from the original function [tex]f(x)=6\left(\dfrac{1}{8}\right)^x[/tex].
Therefore, the correct option is A.
Coniya
The owner of Wayne's Auto Repair charges a
customer $285 for parts plus an hourly labor cost.
The customer paid for 2.5 h of labor and paid a total of
$490.
What is the hourly labor cost?
O $80.00 per hour
$82.00 per hour
0 $86.00 per hour
O $89.00 per hour
Answer:
$82 per hour
Step-by-step explanation:
Total cost to customer: $490
Cost for parts: $285
$490-$285 = $205
There is a total labor charge of $205.
The problem tells us that the customer paid for 2.5 hours of labor.
$205/2.5 hours = $82.00 per hour.
Sum of the second and third consecutive odd integers, simplified
The rectangle can be made into a hollow cylinder with height 40cm and radius 1.910cm.
a) calculate the volume of this cylinder.
Answer:
41.91 is your answer right answer
find the value of x and round
Answer:
X=80.4
Step-by-step explanation:
Lol
Step-by-step explanation:
x= 78 approximately
hope this is correct
Shani has 2 chocolate bas. One has 60% cacao and the other 92% calco
What mass of each bar must she mix to obtain 400g of chocolate
with 72% cacao
Answer:
250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
Step-by-step explanation:
Given that Shani has 2 chocolate bars, one that had 60% cocoa and the other that had 92% cocoa, to determine what mass of each bar must she mix to obtain 400g of chocolate with 72% cocoa, the following calculation must be performed:
100 x 0.6 + 0 x 0.92 = 60
90 x 0.6 + 10 x 0.92 = 63.2
80 x 0.6 + 20 x 0.92 = 66.4
70 x 0.6 + 30 x 0.92 = 69.6
65 x 0.6 + 35 x 0.92 = 71.2
63 x 0.6 + 37 x 0.92 = 71.84
62.5 x 0.6 + 37.5 x 0.92 = 72
400 x 0.625 = 250
Thus, 250 grams of the 60% cocoa bar and 150 grams of the 92% cocoa bar should be used.
2 + − 1 ( − ) + 7 ( 2 − )
Answer:
Step-by-step explanation:
15
4-58. Lisa plans to retire on her 61st birthday. On her
22nd birthday, Lisa will start saving SA per year for
40 years. Starting on her 62nd birthday, Lisa plans on
withdrawing $10,000 and will continue these annual
withdrawals until the account is exhausted on her 85th
birthday. If Lisa's bank account pays 3% per year, what
annual amount of SA will Lisa need to invest in her bank
account to achieve her retirement goal? (4.10)
Answer:
Lisa invest "$2180.81" in her bank.
Step-by-step explanation:
The given values are:
On Lisa's 62nd birthday,
she withdraw = $10,000
The annuity of $A will remain at 3 percent for 40 years. The retirement pension of $10000 lasts 23 years at rate percentage of 3 but begins 40 years later.
⇒ [tex]A\times (\frac{P}{A} ,3 \ percent,40) - 10000 (\frac{P}{A} ,3 \ percent,23)\times \frac{1}{(1.03)40} = 0[/tex]
⇒ [tex]A\times 23.1148 - 10000\times 16.4436\times 0.3066 = 0[/tex]
⇒ [tex]A = 10000\times 16.4436\times \frac{0.3066}{23.1148}[/tex]
⇒ [tex]= 10000\times 16.4436\times 0.0132[/tex]
⇒ [tex]=2180.81[/tex] ($)
Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?
Answer:
5 Miles
Step-by-step explanation:
First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.
Answer: How many miles can he run in one hour?
six miles
But for a normal person it's one mile per 10 minutes or about six miles per hour.
Item 9
John has $50 in his bank account. He gets his usual allowance of $20 and mows two lawns,eaming $10 each. He puts that money in the bank
Then John spends $45 on a video game
How much money does he have after that purchase? Use the number line to help you find the answer
Answer:
$45
Step-by-step explanation:
bank account=$50
Allowance=$20
mows two lawns at $10 each=$20
$50+$20+$20=
money in bank=$90
video game=$45
$90-$45=$45
10 20 30 40 45
·___ _ ·_∩_·∩__∩·_∩_∩_·___·_ ·__·___·___·___·___·__
$100 90 80 70 60 50 45 40 30 20 10 0
The local newspaper tells you that ad space costs 40 per column-inch. A "column-inchis space one column wide nch high. You want to buy a space 3 columns wide and 5 inches high. What will it cost you?
A.) $40
B.) $120
C.) $200
D.) $600
Answer:
it should be 600
Step-by-step explanation:
40x3=120x5=600
Use the graph of f to describe the transformation that results in the graph of g. Then sketch the graphs of g and f. f(x) = ; g(x) =
Answer:
Di ko alam
Step-by-step explanation:
Hirap niyan eh
Sarah makes 1/2 pound of caramel popcorn and puts it in a bags that hold 1/8 of a pound which equation can used to find how many bags she can fill
Answer:
1/2 ÷ 1/8 =b
Step-by-step explanation:
please answer this quick. will give brainliest
Answer:
the time Ari spent to walk is
[tex]1 \frac{3}{4} \div 1 \frac{1}{4} = 1.4(h)[/tex]
the time Beth spent to walk is
[tex]1 \frac{1}{2} \div 1 \frac{1}{8} = 1.(3)(h)[/tex]
the time Cathy spent to walk is 1h21' = 1.35(h)
so the time Ari spent > Cathy > Beth
=> list: Beth, Cathy, Ari
Math will give brainliest
Answer: 312
Step-by-step explanation: i just times it
Answer:
Mutiply 24 and 13
24×13=312
312cm3
No answer text provided.
No answer text provided.
HA < CH
HM > CH
AM = CK
MH < HC
Answer:
HM > CH
Step-by-step explanation:
You are correct, I didn't see the option HM > CH, which is correct, since the angle 90 degrees is larger than the angle 73, and then the sides opposite to them must follow suit.
Therefore, the correct answer is: HM > CH
The true statement from the triangles is (b) HM > CH
How to determine which must be trueFrom the question, we have the following parameters that can be used in our computation:
The figures
Next, we have
Angles at corresponding points = 90 degrees and 73 degrees
Since the angle 90 degrees is larger than the angle 73 degrees, and then the sides opposite to them must also have the same relationship
Using the above as a guide, we have the following:
The true statement is (b) HM > CH
Read more about triangles at
https://brainly.com/question/32215211
#SPJ6
16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly
Answer:
b and c
Step-by-step explanation:
Write an equation in slope-intercept form of a line that has a slope of 1/5 and a y-intercept of 4.
Answer:
y=1/5x+4
Step-by-step explanation:
