Dodie wants to plant roses in her triangular plot. There will be 11 plant at a corner. Starting from that corner, each row will have 55 more plants than the row before it. She has 160160 rose plants and wants the plot to have as many rows as possible. How many rows will Dodie's plot have

Answers

Answer 1

Solving provided question, we can say that by arithmetic progression number of rows Dodie's plot has, n ≈ 7.3965

what is arithmetic progression?

The difference between succeeding terms in a sequence is always the same, and this is known as an arithmetic progression. An arithmetic progression with a tolerance of 2 is, for instance, the sequence 5, 7, 9, 11, 13, and 15. The term "arithmetic progression" (A.P.) refers to a progression with a fixed tolerance between any two consecutive values. Mathematic progression can be of two different types: arithmetic series with finite length A series with a finite amount of terms is a finite geometric progression. The terms in the series can be used to determine the early, late, tolerance, and number of terms.

d = 6 is the difference between subsequent rows.

The value increased to a = 1 at the top vertex.

Consequently, the garden's roses represent a mathematical progression.

A = 1 is the first phrase.

d = 6 is the common difference.

The sum of the n terms in an arithmetic progression,, is what determines how many rows Bill's plot will contain.

When Sₙ = 150, we get;

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

number of rows Dodie's plot has, n = 7.3965

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Related Questions

A jar of coins contains only quarters and dimes. The total amount of money in the jar is $4.40, and there are 23 coins.

A. Write a system of equations that can be used to find d, the number of dimes, and q, the number of quarters, in the jar.

B. How many quarters are in the jar?

Answers

Answer:

(1) d+q=23 (the total number of coins is 23)

(2) 10d+25q = 440 (the total value of the coins, at 10 cents for each dime and 25 cents for each quarter, is 440 cents)

there are 14 quarters and 9 dimes

Step-by-step explanation:

Dalis' employer pays $2,150 in health insurance and $86
in life insurance per year. She also gets $3,520 in paid time
off per year. Her monthly gross pay is $4,370. What are
Dalis' total job benefits?

Answers

Answer: chiki

Step-by-step explanation:

Solve the formula V = πr²h for r.

Answers

Answer:

v=πr²h

divide both sides by πh

v/πh=r²

r²=v/πh

square root both sides

r=√v/√πh

I hope this helps

what is the difference of 1 and a number?

Answers

the number i hope this helps you out some it helps me out because i need more points

PLEASE HELP ASAP- What is the value of AB?

Answers

Answer:

the answer would be 19 because these are congruent shapes

Hope this helps:)

Step-by-step explanation:

Algebra 2
1) What is the multiplicative inverse of 300?
a) 300
b) 0.03
c) 1/300
d) None of the above
e) a and b
f) b and c
g) a and c

Answers

Answer:

Step-by-step explanation:

Option C is the correct answer

Answer:

the multiplicative inverse of 300 is 300

Step-by-step explanation:

answer 300

WASTE Suppose the waste generated by nonrecycled paper and cardboard products in tons y after x days can be approximated by the function y=1000(2)0.3x.


a. Identify key features.

y-intercept: , 1 of 8.
domain: , 2 of 8.
range: , 3 of 8.

b. Identify the relevant domain and range.

Because time , 4 of 8. , the relevant domain is , 5 of 8. .

Because the amount of recycled paper and cardboard , 6 of 8. , and the amount when x=0
is , 7 of 8.tons, the relevant range is , 8 of 8. .

Answers

a. The key features of the exponential function y = 1000(2)^(0.3x) is given as follows:

y-intercept: y = 100.Domain: all real values.Range: y ≥ 1000.

b. The relevant domain and range are given as follows:

Domain: x ≥ 0.Range: y ≥ 1000.

What are the features of the exponential function?

The exponential function for this problem is modeled as follows:

y = 1000(2)^(0.3x).

The features are given as follows:

Initial value, when x = 0, of y = 1000, representing the y-intercept.Rate of change of 2 for each period of 0.3 units.

The domain of the function is the set that composes all input values of the function, and as the exponential function does not have any restrictions such as a fraction or an even root, it is composed by all real values.

However, the relevant domain is x ≥ 0, as the number of days does not assume negative values.

The range is the set containing all output values of the exponential function. As the initial value of the exponential function is of 1000 and the function is increasing, the range is y ≥ 1000.

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Pls answer! this problem

Answers

Answer:

9k + 36 represent the perimeter of the triangle. (I think)

Step-by-step explanation:

3k + 5 + 15 + 4k + 2k + 16 = the perimeter of the triangle

reorganize:

(3k + 4k + 2k) + (5 + 15 + 16)

9k + 36

Have a nice day!

A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?

Answers

hey ,

here is your answer,

_______________

Let the number of boxes filled, by using 20 bottles in each box, be x.

The following table is obtained.

______________________

| Number of bottles. 12. 20 |

| |

| Number of boxes 25. x. |

---------------------------------------------

More the number of bottles, lesser will be the number of boxes.

Hence, the number of bottles and the number of boxes required to pack these are inversely proportional to each other.

Therefore,

12 × 25 = 20× x

Hence, the number of boxes required to pack these bottles is 15.

Answer:

The answer is 15 Box.

No of bottles = 25 boxes × 12 bottles

= 300 bottles

So there were total 300 bottles in a box.

Now If 20 bottles are filled ina box then

no. of box required = 300/20

And answer is 15 boxes

Please help me with this

Answers

Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

................

y = 3x + 13
y = -2x - 22

substitution method show work

pls someone help quick

Answers

Answer:

x = -7

Step-by-step explanation:

3x + 13 = -2x - 22

subtract 13 from both sides

3x = -2x - 35

Add 2x to both sides

5x = -35

Divide each side by 5

x = -7

help w one question plz

Answers

Answer:

B is the right answer

Step-by-step explanation:

b is the right answer because

A basking shark measures 25 feet long. A giant squid measures
33 feet long. How many inches longer is the basking shark than
the giant squid?
ounds and

Answers

Answer: 8 feet

Step-by-step explanation:

you take 33-25 to get the sum of 8. so the squid is 8 feet longer than the shark.

Question 3 A student solved a quadratic equation as shown here

Answers

Answer:

Didn't move the 12 on the other side of the equal sign to make

2x^2 + 5x - 12 = 0

the other steps error city.

Step-by-step explanation:

2x^2 + 5x - 12 = 0

(2x - 3)(x + 4)= 0

2x - 3 = 0

2x = 3

x = 3/2

x + 4 = 0

x = -4

At a local college, 118 of the male students are smokers and 472 are non-smokers. Of the female students, 50 are smokers and 450 are non-smokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers? Do not round your answer.​

Answers

Answer:

The probability that both are smokers is 0.02

Step-by-step explanation:

Prob. of male smoker [tex]P(ms)= \frac{118}{590} = 0.2[/tex]

Prob. of female smoker [tex]P(fs) = \frac{50}{500} = 0.1[/tex]

Prob. that both ar smokers [tex]P(bs)=P(ms) * P(fm) =0.2 * 0.1 = 0.02[/tex]

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

Answer:

Step-by-step explanation:

4/56\8

Find the equation of the line

Answers

Step-by-step explanation:

Use photo math in the AppStore

Answer: y=1/4x-6

Step-by-step explanation:

The slope formula is y=mx+b

M- represents the rise over run.

B- represents where the line crosses over the y-axis.

So once you input the numbers you get 1/4 for m and -6 for b.

9/10 - 3/10

?????…..


Answers

Answer:

Step-by-step explanation:

9 - 3 = 6

6/10 = 3/5

Answer:

6/10 and/or 3/5(this is the answer simplified

Step-by-step explanation:

Subtract: 9/10 - 3/10

= 9 - 3/10

= 6/10

= 2 · 3/ 2 · 5

= 3/5

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, cancel by a common factor of 2 gives 3/5. In other words - nine tenths minus three tenths is three fifths.

Use logarithmic table to evaluate 40.79÷0.003949​

Answers

Answer:

  1.033×10⁴

Step-by-step explanation:

You want the quotient 40.79÷0.003949​ using log tables.

Log of quotient

The log of a quotient is the difference of logs:

  log(a/b) = log(a) -log(b)

Log values

It can work well to start by writing the numbers in scientific notation:

  log(40.79) = log(4.079×10¹) = 1 +log(4.079) = 1.6106

  log(0.003949) = log(3.949×10⁻³) = -3 +log(3.949) = -3 +0.5965

Log of quotient

Then the log of the quotient is ...

  log(40.79/0.003949) = 1.6106 -(-3 +0.5965) = 4.0141

Antilog

The antilog of this number will be ...

  antilog(4.0141) = 10⁴ × antilog(0.0141) ≈ 1.033×10⁴

With our 4-digit log tables, 4 significant figures is the best we can expect.

The quotient is about 1.033×10⁴.

__

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PLSS helpppppppppppppp like plssss

Answers

Answer:

f=21-16, 5

Step-by-step explanation:

Just subtract 16 from both sides to get 5  as the solution

Answer:

ADDITION

16+f=x

Step 1: Add -16 to both sides.

f+16+−16=x+−16

f=x−16

Answer:

f=x−16

Step-by-step explanation:

SUBTRACTION

16−f=x

Step 1: Add -16 to both sides.

−f+16+−16=x+−16

−f=x−16

Step 2: Divide both sides by -1.

−f /−1 = x−16 /−1

f=−x+16

Answer:

f=−x+16

What is the value of x?

Answers

Answer:

x=9

Step-by-step explanation:

2x=x+9

Subtract x from both sides;

2x-x=x+9-x

Simplify;

x=9

find the indicated sum

Answers

Step-by-step explanation:

option no 2 is correct

36 I hope is helpful

Mr. Thompson earns $ 11.52 per hour. Last week he worked 37 hours how much F.I.C.A tax did he have to pay at 7.65%?

Answers

Answer:

$32.61

Step-by-step explanation:

First, we multiply the amount he earns per hour by the amount of hours he worked. $11.52 * 37 = $426.24. Then, we figure out what 7.65% of $426.24 is, which we can do by multiplying 426.24 by 0.0765. This gives us $32.60736, but since there is no form of US money that is worth less than 1 cent, we round to the nearest cent and get $32.61.

Hope this helps!

Which matrix represents the system of equations shown below?
2x - 9y = 12
-5x - 7y = 15

O A.
[2 -9 12
5 -7 15

O B.
1-2 -9 127
5 -7 15

O C.
2 -9 127
-5 -7 15

O D. 13:53
1-2 -9 -121
-5 -7 -15

Answers

Answer:

c because c is c kkjwjwjjjwjwjsjssjsjjssmsswnsnsnsnnsns

The matrix that is represented by the system of equations is:

[tex]\left[\begin{array}{ccc}2&-9&12\\-5&-7&15\end{array}\right][/tex]

Option C is the correct answer.

What is a matrix?

A matrix is a set of numbers arranged in rows and columns such that it forms a rectangular array.

We have,

Here, the coefficient matrix is the matrix on the left-hand side, the variable matrix is the column matrix containing the variables x and y, and the constant matrix is the column matrix on the right-hand side containing the constants 12 and 15.

To solve the system of equations, we can use matrix operations to transform the coefficient matrix into the identity matrix, while performing the same row operations on the variable matrix and the constant matrix.

Once we have transformed the coefficient matrix into the identity matrix, the variable matrix will be transformed into the solution vector containing the values of the variables x and y that satisfy the system of equations.

Thus,

The matrix that is represented by the system of equations is:

[tex]\left[\begin{array}{ccc}2&-9&12\\-5&-7&15\end{array}\right][/tex]

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Jon flips a coin and writes down H if heads comes up or T if tails comes up. He does this 3 times. If the order of the results matters, how many possible outcomes are there?

Answers

Answer:

There are always two possible outcomes H (heads) and T (tails) but the possible combination outcomes are HH, TT, HT, and TH

Step-by-step explanation:

It is just my common sense~

There is 8 possible outcomes.

Work out the lengths of sides a and b.
Give your answers to 1 decimal place.

Answers

Step-by-step explanation:

[tex] {a}^{2} = {8}^{2} + {5}^{2} \\ {a }^{2} = 64 + 25 \\ {a}^{2} = 89 \\ a = \sqrt{89} = 9.4 \: cm[/tex]

[tex] {17}^{2} = {12}^{2} + {b}^{2} \\ {b}^{2} = {17}^{2} - {12}^{2} \\ {b}^{2} = 289 - 144 \\ {b}^{2} = 145 \\ b = 12 \: cm[/tex]

The diagram below represents a street intersection. The dashed lines are new streets that are being proposed. If the turn represented by

Answers

Answer:

Step-by-step explanation:

Anybody got an answer for this

Answers

Answer:

11

Step-by-step explanation:

brainliest me pls

Find the measure of the given angle. Round to the nearest degree.
(O
6
?
13

Answers

I think it’s 13 yup because why not yk hahahha

15 degrees by eye i think                                                        

 

                                                                                                                     

What multiplication expression can I use to find 3/8 divided 3/4

Answers

Answer:     [tex]\frac{3}{8}[/tex]➗[tex]\frac{3}{4}[/tex]

Step-by-step explanation:  Are you looking to work out and calculate how to multiply 3/8 by 3/4? In this really simple guide, we'll teach you exactly what 3/8 times 3/4 is and walk you through the step-by-process of how to multiply two fractions together.

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