Answer:
The statement is not true. There is an error in the following step:
[tex]\frac{r^{k} * r^{k} }{r^{(k-1)} } = \frac{1 * 1}{1}[/tex]
Step-by-step explanation:
Here is the complete proof:
[tex]r^{k + 1} = r^{k + k - (k - 1)}[/tex] (because k + k - (k - 1) = k + 1)
[tex]= \frac{r^{k} * r^{k} }{r^{(k-1)} }[/tex] (By laws of exponent)
[tex]= \frac{r^{k} * r^{k} }{r^{k} * r^{-1} } }[/tex]
[tex]= \frac{r^{k} * r^{k} * r^{1} }{r^{k}} }[/tex] (Since the power of r is a negative integer i.e. -1 it will shift to the numerator)
[tex]= r^{k} * r^{1}[/tex] (We get this equation after canceling out the similar terms in numerator and denominator in previous step)
[tex]= r^{k + 1} \neq 1[/tex] (Provided r > 1 or r < -1)
Determina el valor que debe tomar el parámetro m para que el polinomio P(x) = 5x3 − 2x2 + mx − 3 cumpla que P(2) = 3
Answer:
x
Step-by-step explanation:
Answer:
Step-by-step explanation:
Finding the work done in stretching or compressing a spring.
Hooke's Law for Springs.
According to Hooke's law, the force required to compress or stretch a spring from an equilibrium position is given by F(x)=kx, for some constant k. The value of k (measured in force units per unit length) depends on the physical characteristics of the spring. The constant k is called the spring constant and is always positive.
In this problem we assume that the force applied doesn't distort the metal in the spring.
A 2 m spring requires 11 J to stretch to 2.4 m. Find the force function, F(x), for the spring described.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
what is the equation of the line in slope-intercept form?
Answer:
y = 5x
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
m = 5 on this graph
b is the y intercept which is 0 on this graph
David has a bank account which pays interest at the rate of 1.5% per year, compounded annually. Determine what amount David
must have in the bank, given that he would like to draw an annual salary of $32,635.15 from his account at the end of each year
for 30 years. Round to the nearest cent.
Answer: the amount that David must have in the bank is $783243.6
Step-by-step explanation:
We would apply the formula for determining present annuity. It is expressed as
PV = R[1 - (1 + r)^- n]r
Where
PV represents the present value of the investment.
R represents the regular payments made(could be weekly, monthly)
r = represents interest rate/number of interval payments.
n represents the total number of payments made.
From the information given,
r = 1.5/100 = 0.015
n = 30 years
R = $32,635.15
Therefore,
PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015
PV = 32635.15[1 - (1.015)^- 30]/0.015
PV = 32635.15[1 - 0.64]/0.015
PV = 32635.15[0.36]/0.015
PV = 32635.15 × 24
PV = $783243.6
a. $783,760.48
on edgen
Do you remember the difference between a row and a column
in Math?
Answer:
Rows are the steps - they go left to right and are numbered 1,2,3,... Columns are the columns - they go up and down and are lettered A,B,C,... Cells are defined by the row and column they are in.
Step-by-step explanation:
There are 12 chocolate in a box,3 white,4 milk and the rest dark chocolates.What is the probability that Lily first chooses a dark chocolate from the box
Answer:
5/12
Step-by-step explanation:
Total chocolate=12
White=3
Milk=4
Dark=x
White+milk+dark=3+4+x
=7+x
12=7+x
x=12-7
x=5
Therefore,
Dark=5
Probability that Lily first chooses a dark chocolate from the box= No. Of dark chocolate/Total no. Of chocolate
=5/12
What fraction equals 4
Here are a few 4/1 , 8/2 , 12/3
4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
If the denominator is 1, the numerator can be taken as 4, so the fraction would become [tex]\frac{4}{1}[/tex] = 4
If the denominator is 2, the numerator can be taken as 8, so the fraction would become [tex]\frac{8}{2}[/tex] = 4
If the denominator is 3, the numerator can be taken as 12, so the fraction would become [tex]\frac{12}{3}[/tex] = 4
Thus, 4, 8/2, 12/3 are equal to 4, when simplified, which means they are equivalent in nature.
Learn more about fraction
https://brainly.com/question/10354322
#SPJ2
Which of the following is an example of a matched pairs design? A. A teacher calculates the average scores of students on a pair of tests and wishes to see if this average is larger than 80%. B. A teacher compares the pre-test and post-test scores of students. C. A teacher compares the scores of students using a computer based method of instruction with scores of other students using a traditional method of instruction. D. A teacher compares the scores of students in her class on a standardized test with the national average score.
Answer:
B. A teacher compares the pre-test and post-test scores of students
Step-by-step explanation:
the answer is true, because it is a good example to compare the tests between students, we know that a matching pair design is a random model and is used when the experiment allows grouping subjects in pairs based on a variable and each pair will receive randomly a different handling, the answer A is not true because in the example all students are uniformly averaged and the variable is not correlated with subgroups, option c is incorrect because the variable was not randomized and generates classification bias and the option d is incorrect because the teacher compares a small sample as her class with a score of a total sample, but does not intervene on her students when selecting the corresponding group
Matched pair design describes an experimental technique whereby subjects having certain variable or characteristic are paired or matched based on that variable, usually called the key variable. Hence, an example of a matched pair design is "a teacher compares the pre-test and post-test scores of students."
In these type of experimental design, the key or common variable pertinent to both matched subjects is of utmost importance. The only option where, the variable shared is common is the pretest and posttest scores. In the other options, comparing traditional and computer based instructions doesn't match ; similarly, standardized score and national average do not match perfectly.Hence, the most appropriate option is A.
Learn more : https://brainly.com/question/19445381
Function
Which ordered pair is on the inverse of f(x)?
© (-4,-2)
o (-2,-2)
o (-1,-2)
*
f(x)
|
-2
DONE
-1
NolNb
1
Answer:(-1,-2)
Step-by-step explanation:
given h(x)=-2x+5, find h(-6)
This question is easy! it's simply asking to plug in -6 instead of the variable x.
h(-6)=-2(-6)+5
=12+5
=17
17 is your final answer.
Jenny has saved $600 from her summer job. During the school year, she withdraws $20 from her account every week for her daily expenses. She
wants to keep more than $300 in the account for college. The number of weeks, w, that Jenny can withdraw money from her account is
represented by the inequality 600 – 20w> 300. How many weeks can Jenny continue to withdraw $20 from her account?
A.
14
B.
17
O C.
20
D.
22
Answer:
A
Step-by-step explanation:
since she wants to keep 300 in her account first you would subtract 300 from 600 to get 300. Then you would divide it by 20 to get 15 so your answer would be a because she want's to keep at least 300 in her account.
The height of a triangle is 18 inches. Find the length of the base if the area of the triangle is 63 square inches
Answer:
7 inches
Step-by-step explanation:
The area of a triangle is found by
A = 1/2 bh
We know the height is 18 and the area is 63
63 = 1/2 (b)(18)
63 = 9b
Divide each side by 9
63/9 = 9b/9
7 = b
The base is 7 inches
Answer:
7 inches
Step-by-step explanation:
Area = ½ base × height
63 = ½ × base × 18
63 = 9 × base
base = 7 inches
complete the recursive formula of the geometric sequence 0.2,-1,5,-25
Answer:
s[1] = 0.2; s[n] = -5·s[n-1]
Step-by-step explanation:
To write a recursive formula, you need to know how a given term relates to the ones before it. Here, each term is -5 times the one before. So part of the formula is ...
s[n] = -5·s[n-1]
The other part of a recursive formula is the part that tells the initial values necessary to make this recursive function work. Here, one initial value is needed. We know that the first term is 0.2, so that's what we need to say:
s[1] = 0.2
__
The recursive formula is ...
s[1] = 0.2s[n] = -5·s[n-1]Answer:
0.2
-5
Step-by-step explanation:
NEED HELP NOW!! PLEASE
A baseball diamond is a square with sides of 90 feet. What is the distance, to the nearest tenth of a foot, between home and second base?
Please help me - Homework
Answer:
Step-by-step explanation:
A= 2(5*2) + 2(1*4) + (3*5) + 2(2*3) + (1*3) + (4*3) + (6*3) = 88 cm^2
In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?
Answer:
61%
Step-by-step explanation:
First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.
Ellis is 6 feet tall. If she currently has a 4 foot shadow, what angle are the sunrays making with the ground? Round decimal to the nearest hundredth.
Answer:
19.70
Step-by-step explanation:
For this case we have the following trigonometric relationship:
Tan (x) = (4/6)
Clearing the angle we have:
x = Atan (4/6)
x = 19.77
Rounding off we have:
x = 19.70 degrees
What is the reason that supports the statement made on line 5?
Answer:
V is given to be midpoint of WZ and XY
=> WV = VZ and XV = VY (1)
As opposite angles,
=> WVX = ZVY (2)
From (1) and (2), then
Triangle WXV = Triangle ZYV (SAS)
=> Option SAS is correct.
Hope this helps!
:)
Answer:
SAS
Step-by-step explanation:
Since we know that lengths XV & YV and WV & ZV are equal, angle the angle between these corresponding lengths is also equal (Angle V) we can conclude that the two triangles are congruent by SAS postulate
Identify two ways that native Americans resisted being relocated
Answer:
Tortured and kidnapped white colonists, and some started wars.
Please help me I’m stuck on this.
Oliver wants to play the gone fishing game at the carnival.He will use the graph to find the total cost (Y) to play a couple of games.If Oliver wants to play 4 games,how much will he pay?
If u need more information tell me in the comments :)
Answer:
The cost of the game is $7 .
Step-by-step explanation:
By looking at the graph, the line at x = 4 is equals to y = 7
Matt says 3/3 is equivalent to 1 is he correct?
Answer: Yes
Step-by-step explanation:
It isn't an
1 an improper fraction
Less than the denominator
Therefore, three thirds or 3/3 is one whole fraction
Rly hope I helped!
☆꧁Ashlin꧂☆
Answer:yes he his correct
Step-by-step explanation:
3/3=1
A hot dog stand sells hot dogs for $3 each, but each hot dog costs $1.50 to make. Each month, the hot dog stand pays $800 in rent and $1,200 in employee wages. If the hot dog stand sells 3,120 hot dogs in a month, how much will the hot dog stand earn in profit?
Answer:
$2680
Step-by-step explanation:
3.00-1.50= 1.50 profit per hotdog
1200+800=2000 expenses
1.50 (3120) = 4680
4680-2000=
2680 in profit
Please help ASAP! I will mark BRAINLIEST!! Please answer correctly! No guessing!
Answer:
exponential decay...................
Answer:
exponential decay
Step-by-step explanation:
If the amount is 1/2 every half hour, it is getting smaller, so it is decreasing, leaving choices a and b
We start with 100 items
100, 50 ,25, 12.5
this is not linear so it must be exponential decay
What’s the correct answer for this?
Answer:
c
Step-by-step explanation:
the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?
Answer:
116.82 square inches
Step-by-step explanation:
The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.
The area of the four triangles is ...
total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²
The area of the 10-inch square is ...
square area = (10 in)² = 100 in²
Then the total window area is ...
window area = 16.82 in² +100 in²
window area = 116.82 in²
Round 78500 to the nearest thousand. Enter your answer in the box below
without a comma.
Answer:
79000
Step-by-step explanation:
The 8 is in the thousands place. We look at the hundreds place
5 is in hundreds place. It is 5 or greater so we round up
The 8 becomes a 9
78500 becomes 79000
What is the surface area of the triangular prism? 10mm 6mm 16mm 12mm
Answer:it would help of you included a photo because the base is measured differently from the triangles
Step-by-step explanation:
Place one digit in each blank. Use 0 if there is no other number to fill the blank.
Joshua counted 7/10 of the chicken eggs. Daniel counted 3/10 of the chicken eggs.
What is the difference between the fraction of eggs counted by each boy?
Write the answer as a decimal in the place value chart.
ones . tenths
.
Answer:
4/10 dumbaass
Step-by-step explanation:
Answer:
4/20
Step-by-step explanation:
I need help on this one
Answer:
the fourth answer is prime.
Step-by-step explanation:
in order to break down a 4 term polynomial, create groups of the polynomials. seperate each in 2 group. then, fine the greatest common fastor of each group that are in parenthesis.It was easy to break the first three. the last one however, was hard to break apart because in the second group, you cant find the greatest common factor between -x and 2. So the bottom one is prime
Evaluate 12 ➗(0.9 -0.04
Answer:
13.9534883721
Step-by-step explanation:
12/(0.9-0.04)=12/0.86=13.9534883721
