New grass seeds grow rapidly. A grass seed has grown to 12 millimeters tall. Tomorrow it will
be 23 millimeters tall, the next day it will be 34 millimeters tall, and on the next day it will be
45 millimeters tall. Write a rule to represent the height of the bean plant as an arithmetic
sequence. How tall will the plant be in 15 days?

A(n) = 16 + (n – 1)11; 194 millimeters
A(n) = 12 + (n – 1)11; 166 millimeters
A(n) = 13n; 195 millimeters
A(n) = 12n; 180 millimeters

Answers

Answer 1

Answer:

The correct answer is;

A(n) = 12 + (n-1)11; 166 millimeters

Step-by-step explanation:

Here, we want to write a rule representing the growth

From the question, we can see that the rate of growth is ;

34-23 = 23-12 = 11

This means it grows at a rate of 11 mm per day

So on the 15th day, its height will be;

We can have an arithmetic progression here, with 12 as the first term and 11 as the common difference

The nth term An can be represented as;

An = a + (n-1)d

where a = 12 mm , n = 15 and d = 11 mm

Thus, we have

An = 12 + (15-1)11

An = 12 + 154

An = 166 mm


Related Questions

what is the bill for 10 day rental b = 45.95d + 38.5

Answers

Answer:

b = 498

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

b = 45.95d + 38.5

d = 10 days

Step 2: Evaluate

Substitute:                    b = 45.95(10) + 38.5Multiply:                        b = 459.5 + 38.5Add:                              b = 498

Answer:

498 dollars

Step-by-step explanation:

So just plug in the 10 in the equation for D

45.95*10+38.5

Now just solve using order of operations

You would get 498

Abby spent 22 minutes working on her science project yesterday 34 minutes working on today. how many minutes did Abby spend working on her science project altogether

Answers

The number of minutes that Abby spend working on her science project altogether is 56 minutes.

How to calculate the value?

From the information, Abby spent 22 minutes working on her science project yesterday and 34 minutes working on today.

Therefore, the time used altogether will be the addition of the time used for both occasions

= 22 minutes + 34 minutes

= 56 minutes

This illustrates addition.

Learn more about time on:

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Classify the triangle. Check all that apply

Acute
Obtuse
Right
Scalene
Isoceles
Equilateral
Equiangular
None of the above

Answers

Answer:

The answer is Right because of the tiny square in the right corner and scalene because none of the three sides are equal in length.

Step-by-step explanation:

I hope this helps!

Kayla won 37 super bouncy balls
playing hoops at her school's game night
Later, she gave two to each
of her friends. She only has 7
remaining. How many friends does she have?

Answers

Answer:

15 friends

Step-by-step explanation:

37 - 7=30 so then you divide 30 by 2 which equals 15 so there is your answer.

The yellow turtle country covered 33 cm in six minutes her speed as a unit rate is blank a country walk blank in one minute

Answers

Answer:

5.5 cm/minute

Step-by-step explanation:

Given that,

The yellow turtle country covered 33 cm in six minutes.

To find unit rate, divide distance covered by the time.

Here, distance = 33 cm

Time, t = 6 minutes

[tex]R=\dfrac{33\ \text{cm}}{6\ \text{minutes}}\\\\=5.5\ \text{cm/minutes}[/tex]

Hence, the unit rate is 5.5 cm/minute. It means, Courtney covered 5.5 cm in one minute.

Does Anyone Know This

Answers

Answer:

1 g-h

2 g^2-h

3 gh

4 g+h

5 h-g

6 g+h^2

Step-by-step explanation:

Is 14/950 more or less than 1/2 and why!

Answers

Well because 14 is nowhere near half of 950 (which is 475), 1/2 is bigger. I hope this helped.

ABCD is a rectangle. Find the mCED

Answers

Answer:8.5...

Step-by-step explanation:

If r is the radius of a circle and d is its diameter, which of the following is an
equivalent formula for the circumference C = 2 pie r?

A. C= pie d
B. C= 2 pie d
C. C=2 pie d^2
D. C = 2 pie rd

Answers

Answer:

A

Step-by-step explanation:

because r is 1/2 of d so you would have 1 d instead of 2 r

Raj polled 100 students in his class to compare the number of hours that boys and girls played video games each week. The results of his survey are shown below. Which gender shows greater variability in their playing time?

Hours of Video Game Time per Week for Boys
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 9 to 17. A line divides the box at 14.5.

Hours of Video Game Time per Week for Girls
A box-and-whisker plot. The number line goes from 0 to 28. The whiskers range from 0 to 28, and the box ranges from 3 to 15. A line divides the box at 6.
Boys show greater variability because the 3rd quartile for boys is 17 but only 15 for girls.
Boys show greater variability because the median playing time for boys is 14.5 but only 6 for girls.
Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.
Girls show greater variability because the data for the girls is skewed toward the lower end of the box plot.

Answers

Answer:

c is the correct answer i took the test

Step-by-step explanation:

The gender that shows greater variability in their playing time is C. Girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

How to find the interquartile range?

For the males, the interquartile range will be:

= Third quartile - First quartile

= 17 - 9

= 8

For the females, the interquartile range will be:

= Third quartile - First quartile

= 15 - 3

= 12

Therefore, girls show greater variability because the interquartile range for girls is 12 for girls but only 8 for boys.

Learn more about interquartile range on:

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PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8

Answers

1 is the correct answer my guy

NEED ASAPPPP

The linear equation below describes the graph of a line.
4x – 3y = -12 Which of these is a point on the graph of the line?

Answers

Answer:

(-3,4)

Step-by-step explanation:

to solve for x, make y=0

to solve for y, make x=0

Well, you didnt give answer choices, BUT go onto desmos and use the graphing calculator to figure it out :)

Help me classify the triangles by its sides and measuring its angles :)

actually answer this ​

Answers

Answer:

1. isosceles

2. Right

Step-by-step explanation:

Here, we want to give the kind of triangle in each of the diagrams

1. From what we can see, we have two sides equal to each other using the given markings. More specifically, the base sides are equal and that makes the triangle an isosceles triangle

2. From what we can see here, we have an angle of 90 degrees on one of the sides of the triangle. In other words, we have a right angle on one of the sides.

This makes the triangle, a right triangle

please help me !!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

15 is the mid so +5 is 20 thus 20 is the anser

ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.

Answers

Answer:

8.50f + 3.00h = 24

Step-by-step explanation:

The sum of two numbers is 23. The larger number y is 1 less than twice the smaller number x. Write and solve a system of linear equations to find the two numbers.

Answers

Answer:

15 and 8

Step-by-step explanation:

A baseball team won 15 of its games last year. This year, they won 20% more games. How many games did the team win this year?

A.
18

B.
20

C.
25

D.
35

Answers

Answer:

D 35

Step-by-step explanation:

Just added them together

Step-by-step explanation:

A is the answer bsbdbxbxb

7. 3, 19 25..
Find the formula for the nth term of the following sequence

Answers

Answer:

a+(n-1)d is the formula to calculate

please answer this questioncould u please answer this question

Answers

Answer:

3

Step-by-step explanation:

3p - 1 = 5(p-1) -2(7-2p)

(simplify)

3p -1 = 5p-5-14+4p

3p-1 = 9p-19

(make p the subject)

3p-9p = -19+1

-6p = -18

p = -18/-6

p = 3

es 6

Step-by-step explanation:

3p-1=  5p-5-14mas4p

3p-4p-5p= -5-14mas1

3p-4p-5p= -18

3p-9p=-18

_3p=-18

p=-18:-3

p=6

Evaluate the expression yz when x= 3, y=6 and z=12.

Answers

Answer: 72

Step-by-step explanation:

y=6, z=12

yz=6 x 12=72

Write the equation, in slope-intercept form, of the line that passes through (-2,0) and is parallel to the line represented by 5x-3y=-17 .

Answers

Answer:

[tex]y=\frac{5}{3}x+\frac{10}{3}[/tex]

Step-by-step explanation:

Firstly we rewrite the equation that is parallel to the line we need because parallel lines have the same slope by the rule

[tex]m_1=m_2[/tex]

so we rewrite the equation in slope-intercept form:

[tex]5x-3y=17\\-3y=-5x+17\\y=\frac{-5x+17}{-3}\\\\y=\frac{-5x}{-3}+\frac{17}{-3} \\\\y=\frac{5}{3}x-\frac{17}{3}[/tex]

and now we compare it with our slope-intercept form equation:

[tex]y=mx+b[/tex]

the coefficient of x which is m is the slope and since parallel lines have equal slopes the line that we need would also have the same slope which is 5/3.

now the next step is the line that we need passes through the point (-2,0) so it means that it should satisfy that specific point so we insert that point into our slope-intercept form and insert the slope which is 5/3 which is m.

[tex]y=mx+b\\y=\frac{5}{3}x+b\\\\0=\frac{5}{3}(-2)+b\\\\0=\frac{-10}{3}+b\\\\b=\frac{10}{3}\\[/tex]

now we know that the y-intercept(b) of the line we need is 10/3 and slope(m) is 5/3 insert these values into our slope-intercept form:

[tex]y=mx+b\\y=\frac{5}{3}x+\frac{10}{3} \\[/tex]

so this is our given line.

30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily?

Answers

Answer:

Case1:

Men : 30

Work : 1

Time (day×hr): 56×6 = 336 hr.

Case2:

Men : let it be m men.

Work: 1

Time: 45×7 = 315 hr.

Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.

Product of men and time is constant in both cases.

Therefore, 30×336=m×315

Or, 30×336/315 = m

Or, m = 32.

Hence, required number of men is 32.

Step-by-step explanation:

What is w²+2xy if x= - 3, w= - 2, and y=1?

Answers

first, plug the numbers into the equation:

(-2)^2+2(-3)(1)

then do your exponents:
-2 times -2 = 4
4+2(-3)(1)

multiply and add:
4+-6

answer:
-2

Answer:

-10

Step-by-step explanation:

w2 is -2x-2

2xy is getting times together -3x1

helpppppppppppppppppp ​

Answers

The 1st option is correct.

Answer:

m/15=-3

Step-by-step explanation:

When you see quotient it means to divide

is means equal

I hope this helps

Plz help with math plzlzlzlzl

Answers

2 -8 and -13 is the answer

Guys plz help plz on both plzzzzz

Answers

.12 and .1!!!!!!!!!!

Answer:

The first one is 9/50 and the second one is 1/2

Step-by-step explanation:

you multiply the numerators by each other then you multiply the denominators by each other then you should have your answer :)

(-2,6) and (1,-1) whats the slope

Answers

Answer:

7/-3

Step-by-step explanation:

6--1=7

-2-1=-3

Answer:

The slope is m=-7/3

m=y²-y¹/x²-x¹

m=(-1)-6/1-(-2)

m=-7/3

Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}

Answers

C would be a function because the x does not repeat

Hope this helps

Have a happy holidays

what fraction is 3/4 equivalent to?

Answers

Answer:

6/8

Step-by-step explanation:

double both of them lol

Answer:

3/4 is equivalent to 6/8 and 12/16

Step-by-step explanation:

1. Which of the following is a solution to the
equation - 2/5x = 10?
a. X = -4
b. X = -25
c. X= 4
d. X = 25

Answers

B. -25
The answer to X has to be negative. Since -2/5 is negative and we’re trying to get to 10, we need another negative to cancel out the negative into a positive. Multiply -2/5 by X (-25) so it’s -2/5 x -25/1. Negative times negative is positive. 2 x 25 is 50. 5 x 1 is 5. 50/5 is 10.
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