Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.

Answer:

The top of the ladder is sliding down at a rate of -1.25 ft/s.

Step-by-step explanation:

From the Pythagorean Theorem:

[tex]\displaystyle a^2 + b^2 = c^2[/tex]

(Where a is the height, b is the distance between the bottom of the ladder and the wall, and c is the length of the ladder itself.)

Note that the hypotenuse c is a constant value at 26 feet. Substitute:

[tex]\displaystyle a^2 + b^2 = (26\text{ ft})^2 = 676 \text{ ft}^2[/tex]

We want to determine how fast the top of the ladder is sliding down the wall at the instant of time when the bottom of the ladder is 10 feet from the wall and sliding away from the wall at the rate of 3 ft/s.

In other words, we want to find da/dt given that b = 10 ft, and db/dt = 3 ft/s.

First, we can differentiate both sides with respect to t, where a and b are both functions of t:

[tex]\displaystyle \frac{d}{dt}\left[ a^2 + b^2\right ] = \frac{d}{dt}\left [ 676 \text{ feet}^2\right ][/tex]

Implicit differentiation yields:

[tex]\displaystyle 2a \frac{da}{dt} + 2b \frac{db}{dt} = 0[/tex]

Next, since we know that b = 10 ft, we can find a:

[tex]\displaystyle \begin{aligned} a^2 + b^2 & = 676\text{ ft}^2 \\ \\ a^2 +(10 \text{ ft})^2 & = 676\text{ ft}^2 \\ \\ a & = 24\text{ ft} \end{aligned}[/tex]

Substitute and solve for da/dt:

[tex]\displaystyle \begin{aligned} 2a \frac{da}{dt} + 2b\frac{db}{dt} & = 0 \\ \\ 2(24 \text{ ft}) \frac{da}{dt} + 2(10 \text{ ft})(3 \text{ ft/s}) & = 0 \\ \\ 48 \text{ ft} \cdot \frac{da}{dt} & = -60 \text{ ft$^2$/s} \\ \\ \frac{da}{dt} & = -1.25 \text{ ft/s} \end{aligned}[/tex]

Since the ladder is sliding down the wall, da/dt is expected to be negative.

In conclusion, the top of the ladder is sliding down at a rate of -1.25 ft/s.

Answer:

x = [tex]\frac{y}{7}[/tex], y = 7x

Step-by-step explanation:

hope this helps

Answer:

6.5555 months

Step-by-step explanation:

$415-$120= $295

Micah will need $295 from his paycheck earnings to be able to afford the guitar.

$295/$45= 6.5555months

Answer:

Step-by-step explanation:

2/7 + 4/5 mixed forms

2/7 + 4/5 =

38/35 or 1 3/35

Answer:

38/35

Step-by-step explanation:

1. convert to like fractions

2/7-> 10/35

4/5-> 28/35

2. add fractions

10/35 + 28/35 = 38/35

Answer:

u=v-at

Step-by-step explanation:

When making something the subject of the formula, we need to get that thing on 1 side of the equation all by itself. To do this, we need to rearrange.

Because I can see that the side with my "u" has a "+at", I need to get the "+at" onto the other side of the "=", I can do this by subtracting it on both sides (because that - is the inverse of +). So I now have v-at=u. Which is the final answer.

Note: it doesn't matter which side U is on, as long as it is alone (so this equation can also be written as u=v-at.

nonrigid

segment lengths are not

Answer:

1 Nonrigid

2 segment lengths are not

Answer:

I love you baby

Step-by-step explanation:

I love you baby to quit all night I love you baby

Answer:5600

Step-by-step explanation:

Because I just did it

Answer:

35

Step-by-step explanation:

1.5x30=45 -

45-10= 35

month=30 days

Movie costs 1.5 for a day and it will cost 10 for a month so you have to do 1.5x30=45 then you have to subtract 10 becuses that's the monthly pay so your answer would be 35 please (give brainless)

Answer:

46.3

Step-by-step explanation:

Mean is the average of all values. You add all the values on the table and divide them by the amount of values (here there are 10 land animals so you would divide by 10).

[tex]\frac{70+61+50+48+45+43+40+39+35+32}{10} =\frac{463}{10} = 46.3[/tex]

Answer:

it's 64,116

Step-by-step explanation:

ur welcome

Answer:

1. 4.22

2. 19.415

3. nine and thirty- five

4. Three and four hundred twelve

Step-by-step explanation

Answer:

The geometric sequence is decreasing by 0.5 * each term

common ratio = 0.5

an equation for this exact sequence would be

50(0.5)^x-1

Step-by-step explanation:

To find the common ratio for a geometric sequence we can divide the previous term value by the next term value

so 50 / 25 = 0.5

and to check we can divide

25 / 12.5 = 0.5

So our common ratio is 0.5

Step-by-step explanation:

Given sequence:

The first term is 50 and the common ratio is:

The equation:

Find the 8th and 10th terms:

Answer:

41/5

Step-by-step explanation:

First we change the 8 and 1/5% to 8.2%

Write the fraction down as a number over one = 8.2/1

Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

8.2/1 = (8.2 × 10)

(1 × 10) = 82/10

Reduce the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD (82,10) = 2. So, (82÷2)/(10÷2) = 41/5 when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 82/10 is also equal to 81/5 when expressed as a mixed number.

Answer:

8.28/18 = 0.46

46 cents

Step-by-step explanation:

Answer:

-30 ,-2

5, -3

hope it will.help u

Answer:

1600

Step-by-step explanation:

Answer:

for the table

x y

0 260

1 240

2 220

3 200

Unit Rate is -20

we know this because the question tells us, he reads 20 pages per hour

the equation would be

y = -20x + 260

Answer:

10

Step-by-step explanation:

To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10

Answer:

x= 13

Step-by-step explanation:

can i please get branlist? if not thats okay.

Answer:

2. 2xy-2y

Step-by-step explanation:

4xy-2y(x+1)=4xy-2xy-2y

=2xy-2y

Did you use the formula

gradient =

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

??

I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it

Answer:

Step-by-step explanation:

If he washes his dads car alone it takes 6hrs, If his dad helps him it takes 2hrs.

6-2= 4

4hrs?

I dont understand the question lol.

Answer:

16 robots

Step-by-step explanation:

Each worker can move 12 boxes/minute and there are 24 workers.

24 x 12 =  288

Divide the total work by 18 (since a robot can move 18 boxes/minute)

288 ÷ 18 = 16

Answer:

.75

Step-by-step explanation:

$12 / 16 = $0.75

Answer: 20

Step-by-step explanation:

so if you divide 40 w 8, it’ll be 5 which means that she reads 5 books in a month. divide 100 w 5 and you’ll get 20

Answer:

sorry i am not sure

Step-by-step explanation:

sorry i am not sure

Answer:

     [tex]-64u^{3}[/tex][tex]v^{6}[/tex]

Step-by-step explanation:

Answer:

(-64u³vto the 6th power)

Step-by-step explanation:

(4³u³v to the 6th power)

(-64u³vto the 6th power)

Answer: Im pretty sure its B

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