Step-by-step explanation:
an arithmetic sequence is when every new term is created by adding a certain constant to the previous term.
1. is an arithmetic sequence. the constant is 0.6.
0.3 + 0.6 = 0.9
0.9 + 0.6 = 1.5
1.5 + 0.6 = 2.1
...
so, we have
a1 = 0.3
an = an-1 + 0.6
and
an = a1 + (n-1)×0.6 = 0.3 + (n-1)×0.6
2. is neither an arithmetic nor a geometric sequence.
it is simply
an = n³
A garden swimming pool with a cuboidal shape is 8m long and 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it. What is the height of the water level in the pool
Answer:
the pool with 40m³ of water in it is 1.25m deep
Step-by-step explanation:
first convert 150 cm to 1.5m
2nd 8m l × 4m w × 1.5m d = 48m³
3rd divide 40m³ by 8m l × 4m w or 32m²
40m³/32m² = 1.25m deep
a boy gains 8 marks out of 10 what percentage is this
It is 80%
8 divied by 10 is 0.8. Which is 80%
Answer:
8 out of 10 is the same thing as saying [tex]\frac{8}{10}[/tex] so it would be 80%
Step-by-step explanation:
8 ÷ 10 = 0.8 = 80%
6.
Write an equation you can solve to answer each problem.
Solve each equation.
a) Ruby has 27 pages of stamps in her collection.
Zachary has 8 fewer pages than Ruby.
How many pages of stamps does Zachary have?
b) Nemo has 3 times as many DVDs as Ashley.
Ashley has 16 DVDs.
How many DVDs does Nemo have?
c) Adrian walked 19 km less than Sheba.
Sheba walked 35 km.
How far did Adrian walk?
Answer:
a) 27 - 8= 19 pages of stamps
b) 16 × 3 = 48 DVDs
c) 35km - 19km = 16km
Blake was listening to his favorite radio station. He noticed that during one hour, 15 songs were played and 3 of them were by a group from Michigan.
A. What is the ratio of songs by the group from Michigan to the number of songs played?
B. Write the ratio in simplest form.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours?
Answer:
Step-by-step explanation:
A. What is the ratio of songs by the group from Michigan to the number of songs played? 3/15
B. In lowest terms, 3/15 is 1/5.
C. Suppose the station continues to play the ratio of songs. How many songs from the Michigan group will Blake hear in the next three hours? To answer this, multiply the 1-hour unit rate by 3: 3*3 = 9 Michigan group songs over the next 3 hours.
[tex]--------------[/tex]
12+12+12
Answer:
[tex]12 + 12 + 12 = 36 \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
Helppppp I neeeed it!!!!!!
HELP PLSSSSS TY
Health Club Fees You are choosing between two health clubs. Club A offers membership for a fee of $14 plus a monthly fee of $29. Club B offers membership for a fee of $28 plus a monthly fee of $22. After how many months will the total cost of each health club be the same?
Answer:
2 months
Step-by-step explanation:
To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.
29x+14=22x+287x+14=287x=14x=2When solved, x=2. This means that after 2 months the cost of each will be the same.
What are the possible values of y if x =4 in the inequality x-2y ≤ 5?
Answer:
y ≥ -0.5
Step-by-step explanation:
First, we can substitute 4 in for x in the inequality.
4 - 2y ≤ 5
Now, to solve for y, we start by subtracting 4 from both sides:
-2y ≤ 1
And divide by -2. When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign. This gives us:
y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5
Therefore, the possible values of y are -0.5 or greater.
[tex]8x + 15 \leq 60\\ solve for x then graph the inequality[/tex]
Answer:
x ≤ 5 5/8
Step-by-step explanation:
8x +15 ≤ 60 . . . . . . given
8x ≤ 45 . . . . . . . . . subtract 15
x ≤ 5 5/8 . . . . . . . . divide by 8
The graph is a solid dot at x = 5 5/8, with shading extending to the left.
I need help with both A and B please I will give brainliest
Answer:
You have A correct and I think B, is the second one
Step-by-step explanation:
You already have A correct as I solved the problem quickly (if you want a explanation I can give one) then the second one for B makes sense as it explains the same problem that was correct on question A. If you want more of a explanation I can give one
1. Find the x and y intercept for the function 3x-4y=12
Step-by-step explanation:
To easily solve this problem we need to know two facts:
the y-intercept is 'c' when a line is in the slope-intercept form (y = mx + c)the x-intercept occurs when y = 0Slope-intercept form
Since 3x - 4y = 12
3x - 12 = 4y
y = ³/₄ x - 3
∴ y-intercept is (0, -3)
Solve for x when y = 0
Since 3x - 4y = 12
3x - 4(0) = 12
x = 4
∴ x-intercept is (4, 0)
We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.
Write the triangle congruence statement.
Answer:
If three sides of one triangle are congruent to three corresponding sides of another triangle, then the triangles re congruent. SSS
Step-by-step explanation:
or If two sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of another triangle, then the triangles are congruent. SAS
Solve the inequality t/2 ≥ 11 for t.
A. 4 ≥ 9
B. t ≥ 22
C. t ≤ 9
D. t ≤ 22
Answer:
B
Step-by-step explanation:
We can multiply both sides by 2 to get rid of the fraction and get:
t ≥ 11 × 2 ->
t ≥ 22.
Hope that helps! :)
Answer:
B: t ≥ 22
Step-by-step explanation:
Rachel withdraws $19 from her bank account once each day for three days. What integer represents the change in the amount in the account? Find the integer that would represent the change in the amount in the account if Rachel deposits $19 into her bank account once each day for three days.
Answer:
How much did she start with tho???
Step-by-step explanation:
A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1
Answer:
4.4 < x < 18.8
Step-by-step explanation:
11.6 - 7.2 = 4.4
11.6 + 7.2 =18.8
I do this so y'all can get extra point and complete challenges!
What is zero times 3575828592
:D
Answer:
0
Step-by-step explanation:
help, I have a math question
PLEASE HELPPPPPPPPPPPPPP
Answer:
The answer is 18
Step-by-step explanation:
4050/225 = 18
Therefore 4050/18 = 225
What time does the clock show?
12
11
1
2
: 10
9
3
8
4
7
5
6
.
Answer:
it would have to be 5:30 if not then 5:00 but i really think it is 5:30
Step-by-step explanation:
it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30
Match the expression to its simplified form
Answer:
2 exponent 5 = 32
5 exponent 3 = 125
2 - exponent 4 = 1/16
5 - exponent 2 = 1/25
Step-by-step explanation:
Colby and Cheryl work in different local factories. Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works. Cheryl regularly
earns $16.60 per hour, and she is pald double time for an hour of overtime. Who earns more for one hour of overtime?How much more?
.85
Answer: Cheryl earns $6.20 more per hour.
Step-by-step explanation:
$/hr OT $/hr OT
18 1.5 27
16.6 2 33.2
Cheryl wins the overtime pay rate with $33.20/hr OT (OverTime). She earns $6.20 more per hour. [How's it feel, Colby?].
Cheryl earns more from overtime than Colby by $6.2 per hour.
Given that,
Colby regularly earns $18 per hour, and he is paid time-and-a-half for each hour of overtime he works.
Cheryl regularly earns $16.60 per hour, and she is paid double time for an hour of overtime.
To determine who earns more for one hour of overtime and wow much more.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
From given
The factor of earning overtime for Colby = 1.5
earning of from overtime for an hour of Colby = 18 * 1.5 = $27
The factor of earning overtime for Cheryl = 2
earning of from overtime for an hour of Cheryl = 16.60 * 2= $33.20
So,
33.20 > 27
Implies
Their overtime earnings
of Cheryl is greater than Colby's by 33.20 - 27 = $6.2 per hour.
Thus, Cheryl earns more from overtime than Colby by $6.2 per hour.
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a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
Need to find the scale factor plz help!!!
Answer:
if you're doing the scale factor of small to big it would be 1/4, but if you're doing from big to small it would be 4
Let P be between M and N use the segment addition postulate to solve for X
Step-by-step explanation:
given,
MP = x - 8
PN = 3x - 9
MN = 21
we know,
according to segment addition postulate AB + BC = AC
now,
MP + PN = MN
→ x - 8 + 3x - 9 = 21
→ 4x - 17 = 21
→ 4x = 21 + 17
→ 4x = 38
→ x = 38/4 = 9
→ x = 9
therefore, value of x is 9.
hope this answer helps you dear! take care
MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?
Answer:
For starters how much does it cost to rent out the shoes
2nd of all how much does it cost too play each game ??
Step-by-step explanation:
ill answer just gimme the info pls
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction
Answer:
4.8
Step-by-step explanation:
Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.
Michael can swim 5 lengths of a swimming pool in 130 seconds.
Use this information to show that he could swim 100 lengths in under 45 minutes
Answer:
Yes, he can swim 100 lengths in under 45 minutes.
Step-by-step explanation:
First we divide 100 by 5
100 ÷ 5 = 20
Now we can multiply this by 130 seconds
Now we have 2600 seconds
Since 1 minute is 60 seconds we divide 2600 by 60 seconds
2600 ÷ 60, this gets us 43.33... minutes, which is less than 45 minutes.
This is all assuming his rate is constant.
Micheal takes 43.333 minutes to swim 100 lengths.
What is length?Length is a measurement or extent of something from one end to another end.
The SI unit of length is meter.
Given that,
To cover 5 lengths, time taken by Micheal = 130 seconds,
Therefore,
Time taken by Micheal to cover 1 length = 130/5 = 26 seconds
Time to cover 100 length = 26×100=2600 seconds
1 minute = 60 seconds
100 length is covered = 2600×1/60 minute
= 43.333 minute
So, To swim 100 lengths Micheal takes 43.333 minutes, which is under 45 minutes.
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WILL MARK BRAINLIEST IF YOU ANSWER BOTH QUESTIONS WITH SOLUTION
Answer:
1. = 3xy + x - 2y - 4
2. = d^2(2c^3-8c^2d+3d^2)
Step-by-step explanation:
= 9x^2y^2 + 3x^2y - 6xy^2 - 12xy/3xy
First factor the top equation ….
= 3xy(3xy + x - 2y - 4)/3xy
If the top and the bottom both carry 3xy, you can cancel out both of them leaving you with ….
= 3xy + x - 2y - 4
= -16c^6d^6 + 64c^5d^7 - 24c^3d^8/-8c^3d^4
First factor the top equation ....
= -8c^3d^6(2c^3-8c^2d+3d^2)/-8c^3d^4
If the top and the bottom both carry -8c^3 you can cancel out both of them leaving you with ….
= d^6(2c^3-8c^2d+3d^2)/d^4
Apply the exponent rule with d^6 ....
= d^4d^2(2c^3-8c^2d+3d^2)/d^4
cancel out d^4 ....
= d^2(2c^3-8c^2d+3d^2)
very time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number
Answer:
4
Step-by-step explanation:
Answer:she can make 4 batches of brownies
Step-by-step explanation:
since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more
3+1=4
hope this helps
Step-by-step explanation:
Also try searching you question in brainly some of these questions are asked and answered
The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362
Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.
Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
A similar problem is given at https://brainly.com/question/25562298