Answer:
Solution,
First term (a) = 25
Common difference (d) = Second term - first term = 20 - 25 = -5
Now,
nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n
The nth term of the series is 30 - 5n
Answer:
The nth term will be:
[tex]a_n=-5n+30[/tex]
Step-by-step explanation:
Given the sequence
25, 20, 15, 10, 5
An Arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Computing the common difference of all the adjacent terms
[tex]25,\:20,\:15,\:10,\:5[/tex]
[tex]20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5[/tex]
As the difference between all the adjacent terms is the same and equal to
[tex]d=-5[/tex]
Also, the first term is:
[tex]a_1=25[/tex]
Hence, the nth term will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=-5\left(n-1\right)+25[/tex] ∵ [tex]a_1=25[/tex], [tex]d=-5[/tex]
[tex]a_n=-5n+30[/tex]
Therefore, the nth term will be:
[tex]a_n=-5n+30[/tex]
if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?
Answer:
(-1/2 , 5/2)
Step-by-step explanation:
=(-2+1)/2,(-3+8)/2
=(-1/2 , 5/2)
Lorenzo increases all the prices on his restaurant menu by 8%
Before the increase, the price of a dessert was £4.25
Work out the price of the dessert after the increase.
Answer:
4.59
Step-by-step explanation:
The question requires the price of the desert after the increase
price of the dessert after the increase is £4.59
Price before increase = £4.25
Percentage increase = 8%
Amount of increase = 8% of 4.25
= 8/100 × 4.25
= 0.08 × 4.25
= £0.34
Price after increase = Price before increase + Amount of increase
= £4.25 + £0.34
= £4.59
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Please Help!!!!!!!
Bert keeps honey bees on his farm. When he first started, he used a 6-frame beehive that held 40 pounds of honey. Now, he uses a 30-frame beehive. It has the same ratio of frames to honey as the smaller beehive. How much honey does Bert's new beehive hold?
Answer:
180?
Step-by-step explanation:
Answer: The new beehive will hold 200 pounds of honey
Explanation: 30 divided by 6 is five so 40*5 is 200
Based on your measurements in question 1, what is the relationship between the diagonals of parallelogram ABCD
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
PLATO
Answer:
Point E divides each diagonal in half. It is the midpoint of AC and BD . This means the two diagonals bisect each other at point E.
Step-by-step explanation:
edmentum
best answer get brainly
Farrell football team has a total 30 uniform shirts.20% of the uniforms are medium-sized how many uniforms are medium?
Answer:
I would believe that it would be close 7 whatever is closest to seven bro
Answer:
12
Step-by-step explanation:
20%=2/5
2/5 is equivalent to 12/30
therefore 12 uniforms are medium
(5 marks)
b) Anthony plans to take up business and purchase a shop lot near his home. He saves
RM10,000 in an account that pays 6% compounded every four months. Four years
later, he withdrew all his money to pay for the down payment of the shop lot.
D)
Find the value of the down payment.
(3 marks)
I thought this right but sorry if it is wrong
first make the 6% in amount by 6×10,000÷100=3600
then, the convert 4 year into month by (4×12)=48month. after that divide 48months by 4 month.i.e.48÷4=12.at last multiply 12 by 3600.i.e. 12×3600=43200
3.
1
y=x+3
1
slope: +: y-intercept: 3
4
B slope: 4; y-intercept: -3
1
slope: ; y-intercept: -3
D slope: 4; y-intercept: 3
PLEASE HELP ME
Answer:
A
Step-by-step explanation:
remember y=Mx+b where M is slope mad B is y intercept
PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.
options:
2x+3y 100
2x+3y≤100
2. For the inequality y
options:
True
False
Answer:
its 2x+3y>100
Step-by-step explanation:
BTW the greater than sign is greater than or equal to I just cant input that sign so make sure the sign is > with a line underneath it.
slope = 3, y-intercept = -1
Answer:
y = 3x - 1
Step-by-step explanation:
Well I really don't understand what you're asking, but I'll give it a go.
y = 3x -1
That's what the equation would look like.
Hope this is what you wanted!!!
IX+XC= WHAT IS THE ANSWER
Answer: X googled it
This converts to the number 99
=========================================================
Explanation:
The upper case letter i means the number 1 in roman numerals. The X represents 10. The C represents 100.
I = 1
X = 10
C = 100
When we form something like IX, we have the smaller digit first and then a larger digit next. Whenever this happens, we subtract
IX = 10-1 = 9
Similarly
XC = 100-10 = 90
So we can see that
IX + XC = 9 + 90 = 99
---------------------------
Since XC is larger than IX, we list XC first when it comes to adding
In other words, we need to write IX+XC as XC+IX which collapses to XCIX
Placing XC next to IX without a plus sign implies the plus sign is there. This is effectively how roman numerals work (they are additive)
So,
XCIX = XC+IX = 90+9 = 99
Note how the XC takes care of the tens digit while IX takes care of the units digit.
13. Much of the allure that cricket has is due to the fact that it is a ..... sport.
. A. lucrative
B. controversial
C. celebrity
D. useful
Answer:
A. Lucrative
Step-by-step explanation:
Answer:
A. Lucrative
Step-by-step explanation
(Mark as brainliest answer)
A powerboat heads due northwest at 13 m/s with respect to the water
across a river that flows due north at 5.0 m/s.
What is the velocity (both magnitude and direction) of the motorboat with
respect to the shore?
9514 1404 393
Answer:
16.9 m/s N 32.9° W
Step-by-step explanation:
The resultant magnitude can be found from the law of cosines. The internal angle between the boat's heading and the river flow is 135°, so the magnitude of the boat's net speed is ...
v² = 5² +13² -2·5·13·cos(135°) ≈ 285.924
v = 16.9093 . . . . m/s
The angle (α) between the boat's heading and the resultant velocity can be found from the law of sines.
sin(α)/5 = sin(135°)/16.9093
α = arcsin(5/16.9093×sin(135°)) ≈ 12.07°
The boat's actual heading will be this angle less than the 45° angle the heading makes with due North.
45° -12.07° = 32.93°
The boat's velocity with respect to shore is about ...
16.9 m/s N 32.9° W
12. What is the value of x ?
Answer: 4.5
Step-by-step explanation:
Since the two black chords are congruent, we know that since the bottom black chord is split into two congruent parts, x = 4.5.
What is <2 if <4 is 35
Answer:
2 is 17.5
Step-by-step explanation:
bc the half of 4 is 2 since 4 is 35 we have to find the half of 35 and how we do that is by dividing it by 2.
35%2=17.5 so 2 is equal 17.5 so <2 is 17.5
help pls! thank u! <3
Answer:
she completed 29
Step-by-step explanation:
if she completed 8 in 6 she made 2 more so you add 2 to the 27 which is 29 hope that is the answer
what is a correlation co-efficient?
Answer:
Correlation coefficients are used when you are doing statistics to find or measure how strong a relationship is between two variables.
Step-by-step explanation:
272 is the partial product of 34 and ?
Answer:
8
Step-by-step explanation:
cuz 272/34= 8
Answer:
Required Answer:-[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {272}{34}}[/tex]
[tex]{:}\longmapsto [/tex][tex]\sf 8[/tex]
A grocery store recently changed their apple supplying vendor. The vendor told the store manager that the mean weight for each apple is bell-shaped with # mean of 7.5 ounces and a standard deviation of 1.33 ounce (a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples? (b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces? (c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b? Explain it.
Answer:
b) 0.0042495
c) 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
Step-by-step explanation:
mean of 7.5 ounces and a standard deviation of 1.33 ounce
When random number of samples are given, we solve using z score with the formula
= z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
(a) One customer comes to this grocery store and randomly picks 25 apples. What is the mean and standard deviation of the distribution of the mean weight for 25 apples?
(b) What is the probability that the mean weight of 25 apples exceeds 8.2 ounces?
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√25
z = (8.2 - 7.5)/1.33/5
z = 2.63158
Probability value from Z-Table:
P(x<8.2) = 0.99575
P(x>8.2) = 1 - P(x<8.2) = 0.0042495
(c) Another customer randomly picks 10 apples. Will the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer be higher than the last customer in part b?
For n= 10
x > 8.2 ounces
= z = (x - μ)/σ/√n
z = (8.2 - 7.5)/1.33/√10
z = 1.66436
Probability value from Z-Table:
P(x<8.2) = 0.95198
P(x>8.2) = 1 - P(x<8.2) = 0.048021
Hence, the probability of the mean weight that the 10 apples exceeds 8.2 ounces of this customer wil be higher than the last customer in part b because the number of random samples in part b is greater that that in part c
jack was 8 years older than priscilla. together their ages totaled 154 years. what were their ages?
Answer:
Jack is 81, Priscilla is 73
Step-by-step explanation:
Because their age difference is 8 years, we can subtract 8 from the total 154 years to get 146. Then we divide by 2 to get 73, so Priscilla is 73. Jack is 8 years older, so therefore he is 81. We can check this by adding 81 + 73 = 154.
Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%
Answer:
B) 40%
10 is 40% of 25.
Answer:
40%
Step-by-step explanation:
IL Directions: Encircle the letter of the correct answer.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
A. 0.263
B. 0.0263
C. 2.063
D.2.2063
2. What is the difference when 43.67 is subtracted from 125.5?
A. 81.83
B. 81.17
C. 81.87
D. 81.57
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58
kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total
weight of the three pupils?
A. 84.61 kilograms B. 84.16 kilograms C. 59.13 kilograms D. 54.06 kilograms
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the
vendor P100?
A. P 63.05
B. P 63.95
CP 73.05
D.P 73.95
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What
was the temperature at 12:00 noon?
A. 29.5 °C
B. 18.1 °C
C. 33.5 °C
D. 35.5 °C
Answer:
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
Step-by-step explanation:
Lets look at the questions one by one.
1. When you add the decimal numbers 0.25, 0.033 and 1.78 the result is ?
The question simply requires adding the three quantities.
The result is 2.063
Hence, Option C is correct.
2. What is the difference when 43.67 is subtracted from 125.5?
Subtracting 43.67 from 125.5, we get
125.5 - 43.67 = 81.83
Hence,
Option A is correct
3. Valerie, Gianna and Candice went to school clinic to find out their weights. Valerie's weight is 28.58 kilograms, Gianna's weight is 30.55 kilograms and Candice's weight is 25.48 kilograms. What is the total weight of the three pupils?
Adding all the weights
28.58+30.55+25.48 = 84.61
Hence, Option A is correct.
4. Keziah spent P24.85 for sandwich and P11.20 for juice. How much change did he receive if she gave the vendor P100?
For this first we have to calculate the total cost
24.85+11.20 = 36.05
Now to find the change he will get
Subtracting total expense from 100
100-36.05 = 63.95
Hence, Option B is the correct answer.
5. At 6:00 in the morning, the temperature was 23.8 °C. At 12:00 noon, the temperature rose by 5.7°C. What was the temperature at 12:00 noon?
The sum of temperature at 6:00 and the rise will tell us the temperature at 12:00
So,
23.8+5.7 = 29.5
Hence,
Option A is correct
The answers are as follows:
1 . Option C: 2.063
2. Option A: 81.83
3. Option A: 84.61 kilograms
4. Option B: P63.95
5. Option A: 29.5°C
What’s is the rate of change for the line that goes through the points (8,14) and (11,19.25)
Answer:
Rate of Change / Slope = 1.75 (or 7/4)
Step-by-step explanation:
Slope is Rise/Run which is (y2-y1)/(x2-x1). When we plug in both ordered pairs, we get (19.25-14)/(11-8)=5.25/3=1.75 as the slope.
The rate of change is the ratio of the rise and the run of the line. Hence, the rate of change of the line is 1.75
Rate of change = (Rise / Run)Rise = y2 - y1 = (19.25 - 14) = 5.25
Run = x2 - x1 = (11 - 8) = 3
Rate of change = (5.25 / 3) = 1.75
Therefore, the rate of change for the line is 1.75
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What percent is Rs15 of Rs 60?
Answer:
25%
Step-by-step explanation:
25% of 60 = 15
May someone help me with this please?!
Factor the polynomial function over the complex numbers.
f(x)=x4+3x2−4
Enter your answer in the box.
f(x)=
Answer:
14
Step-by-step explanation:
I am pretty sure its 14 if not im so sorry
PLEASE HELP! THE FIRST PERSON WHO HELPS ME WILL HAVE GOOD LUCK!
Answer: The 3/8 image will go with the answer 3/4 x 1/2. The The 3/16 image will go with the answer 1/4 x 3/4. And finally, the 4/9 image goes with the answer 2/3 x 2/3. You’re welcome. :)
Step-by-step explanation:
16. [-12 Points]
DETAILS
CURRENMEDMATH11 3.S.001.
Solve the equation. A calculator may be used.
Express your answer to the nearest tenth.
0.8 1.4.
X
0.45 1
Express your answer to the nearest hundredth.
1.4
0.8
Х
0.45
=
1
Answer:
Answer: A. 5:4 Step-by-step explanation: Since the question mentions twelfths of a pie, it is easier to say each pie has 12 pieces or 36 total pieces ordered from the 3 pies. Ty ate 5 and Rob ate 15 which is 3 times more than Ty. A total of 20 pieces have been eaten from the 36 you started with. Eaten = 16. So the ratio is 20:16 which is simplified to = 20 and Remaining 5:4.
Slope is - 1 and (0, 2) is on the line
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Answer:
n = 1, this means the interest compounds ANNUALLY.
Step-by-step explanation:
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?
Compound Interest Formula
: A = P(1 + r/n)^nt
A = Amount after time t
P = Principal (Initial Amount Invested)
r = Interest rate
n = Number of times the interest is compounded
t = time in years
A = $30,541.83
r = 4.6% = 0.046
t = 30
P = $7,924
Hence,
$30,541.83 = $7924(1 + 0.046/n)^30n
Divide both sides by 7924
$30,541.93/$7924 = (1 + 0.046/n)^30n
$30,541.93/$7924 = (n + 0.046/n)^30n
3.8543576477 = (n + 0.046/n)^30n
We take the logarithm of both sides
log 3.8543576477 = log (n + 0.046/n)^30n
Solving for n,
n = 1
Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.
Which of the
following represents
this graph?
A. y = (x+11
B. y = |x-1|
c. y = xl-1
D. y = |x|+1
Answer:
A. y=|x+1|
Step-by-step explanation:
what I like to use when figuring these out(mainly for homework) is a website called Desmos. You basically just plug in whatever equation/expression in and it will graph it for you. My Algebra teacher even allows me to. So all I did was plug in each equation until it matched the graph presented. Hope this helps!
The equation represented by the graph is y=|x+1|
How to determine the equation?The equation is an absolute value graph
The parent function of an absolute value graph is:
y = |x|
The above function is shifted to the left by 1 unit.
This transformation is represented by y=|x+1|
Hence, the equation represented by the graph is y=|x+1|
Read more about function transformation at:
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As a manager of a restaurant, you are working on creating a graph to demonstrate the makeup of your staff. The data you are to present is shown in the table below.
Tasks and Employees on Task
Table waiting
8
Food preparation
14
Cleanup
6
Supervision
4
If you wish to emphasize the relation of each group to the whole, what kind of graph would be appropriate?
a.
pie chart
b.
bar graph
c.
pictograph
d.
scatter plot
Answer:
I believe that A. pie chart, is the correct answer.
Step-by-step explanation:
This is because, a pie chart is a graph that shows the percentages of different things as they relate to a whole.
A pie chart would represent this scenario best because it would have different sections for each task, as well as the amount of employees that preform each task. Together, each task would result in the whole amount of employers.
This is why this graph would be the most appropriate.
Hope this helps! :)
Answer:
A. pie chart
Step-by-step explanation:
Did it on edge 2021