Simplify.
c) [tex]\sqrt{25+10\sqrt{5} +5 }[/tex]
d) [tex]\sqrt{30+10\sqrt{5} }[/tex]

The maximum area that David can have is  10,000 yd^2

The formula for calculating the area of a rectangle is expressed as:

A = lw

If David has 400 yards of fencing, then;

P = 2(l +w)

400 = 2( l+ w)

200 = l + w

l = 200 - w

Substitute into the area

A = (200-w)w

A = 200w - w^2

If the area is maximized, then;

dA/dw = 0
dA/dw = 200 - 2w

2w =200

w =  100 yards

Recall that;

200 = l + w

l = 200 - 100

l = 100

The maximum area = 100 * 100

The maximum area = 10,000 yd^2

The maximum area that David can have is  10,000 yd^2

Learn more on area of rectangle here: https://brainly.com/question/2607596

Answer:

a) The temperature of the water at 5 p.m. would be below 0

b) The temperature of the water at 5 p.m. would be -2.5 *C

Step-by-step explanation:

A) Adding-10.6 and -8.7 would give you over 19, and this would be more than 16.8. Therefore, we can assume that 16.8- 19 is less than zero

B) -10.6+16.8-8.7=-2.5

Answer:

25 and 36

Step-by-step explanation:

5x5=25

6x6=36

Answer:

she pays $2.13

Step-by-step explanation:

basic math i guess

brainliest please

Answer:

She pays $2.13 per each bag

Step-by-step explanation:

we know this because 10.65/5 (5 being the amount of bags she bought) and 10.65 being how much money she spent.) Divide the 2 (10.65 / 5) you get $2.13

Answer:

x=10000

Step-by-step explanation:

because calculator

Answer:

[tex]x=10000[/tex]

Step-by-step explanation:

[tex]log(x)=4\\\\10^{log(x)}=10^4\\\\x=10000[/tex]

Answer:

.53

Step-by-step explanation:

divide 8 by 15 and you get 0.53 explanation As a decimal 8/15 is 0.533 (3 repeating) or about 0.53. To convert 8/15 into a decimal value we simply divide 8 by 15. Since 15 cannot be divided into 8 we add a decimal and a zero then divide 15 into 8, giving us 5 with 5 remaining. Adding another zero allows us to divide 15 into 50 3-times with 5 remaining.

Answer:

  30

Step-by-step explanation:

Let d represent the number of dozens of golf balls ordered. Then 12d is the number of balls.

The cost of the Light Hit balls will be (2.00)(12d). The cost of the Pro Sport balls will be (0.90)(12d). The difference in cost is ...

  (2.00)(12d) -(0.90)(12d) = 396.00

  1.10d = 33 . . . . . divide by 12, combine terms

  d = 30 . . . . . . . divide by 1.10

30 dozen balls of each brand were ordered.

[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]

Let the number be x

Therefore,

Another number be x + 5

According to the question,

[tex]\sf{ x + ( x + 5 ) = 25}[/tex]

[tex]\sf{ x + x + 5 = 25}[/tex]

[tex]\sf{ 2x + 5 = 25}[/tex]

[tex]\sf{ 2x = 25 - 5}[/tex]

[tex]\sf{ 2x = 20 }[/tex]

[tex]\sf{ x = 20/2}[/tex]

[tex]\sf{ x = 10 }[/tex]

Thus, The first number is 10

Therefore,

Another number will be

[tex]\sf{ = x + 5 }[/tex]

[tex]\sf{ = 10 + 5 }[/tex]

[tex]\sf{ = 15 }[/tex]

[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]

Answer: 20

Step-by-step explanation:

We set up the equation.

Let the number = x

x-0.3*x = 14

0.7x = 14

x = 20

Answer:

[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]

STEP BY STEP EXPLANATION

[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]

To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]

Answer:

Step-by-step explanation:

Given:

Consider the identity:

We can see that:

We can work out the value of b:

Then we are missing b², what needs to be added:

Step-by-step explanation:

A pattern is a series or sequence that repeats.

Math pattern are sequences to calculate or

solve a problem.

Answer:

2325 mL

Step-by-step explanation:

Let x = total volume of the tank. When we fill 4/5 of water into the tank, the amount of water we have can be expressed by 4x/5. Then we only keep 1/3 of that amount (poured away 2/3 of the water), so the amount of water is 4x/15. Thus we set up the equation like this:

4x/15 = 620

4x = 9300

x = 2325

Thus the tank can contain a maximum of 2325 mL.

Answer:

750

Step-by-step explanation:

Given:

discount of 25%

Hasan's equation:  d - 0.25d

Bella's equation: 0.75d

d represents the original price.

0.25d represents the discount.

0.75d represents the discounted price.

Example: 1,000 is the price. d = 1,000

0.25d = 0.25(1000) = 250 this is the discount

0.75d = 0.75(1000) = 750 this is the discounted price

Hassan: d - 0.25d =  1000 - 250 = 750

Bella: 0.75d = 0.75(1000) = 750

Answer:

D

Step-by-step explanation:

1. Add the costs together 10.98+13.95+22.56=47.49

2. To get an average, divide by the amount of numbers you added together. We added 3 numbers together (10.98+13.95+22.56) so we divide by 3.

47.49/3=15.83

The option closest to our number is D so we round up.

$15.83->$20

Have a good day.

Answer:

C

Step-by-step explanation:

add up breakfast, lunch, and dinner averages. equals 47.49 which is close to $50 for the day

Answer:

3.46grams

Step-by-step explanation:

100coins = 346grams

1 coin = xgrams

then we cross multiply

346 = 100x

therefore x= 3.46grams

Answer:

k = 2

Step-by-step explanation:

We'll need the Midpoint Formula:  the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex].  In other words, average the x's, then average the y's.

The midpoint of a diameter is the centre of the circle!

The midpoint of the segment joining (-3, 2k) and (5, k) is

[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]

That last expression is the centre of the circle; it is the same as (1, 3).

[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]

Sorry,

Neither of these are radical expressions.

Traits of a radical expression:

Answer:

  15/16

Step-by-step explanation:

For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.

Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.

The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__

Additional comment

The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.

As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.

Answer:

sorry I don't know.

Step-by-step explanation:

I don't know but I k ow how you feel

Answer:

The length is 30 and the width is 15

Step-by-step explanation:

i dont really know how i got this. T.T sorry i did it in my head but my answer has ro be right hope this helps

It would be 13.3 years till the mass of the sample reached 24 grams.

'A quantity is subject to exponentially decay if it decreases at a rate proportional to its current value.'

According to the given problem,

Let x be the number of years spent,

Initial mass = 40 grams

Final mass = 24 grams

Half-life = 18 years

⇒ 24 = 40 × [tex]0.5^{\frac{x}{18} }[/tex]

⇒ 24/40 = 0.5^[tex]\frac{x}{18}[/tex]

⇒ 3/5 = 0.5^[tex]\frac{x}{18}[/tex]

Taking ln on both sides,

⇒ ln (3/5) = [tex]\frac{x}{18}[/tex] ln 0.5

⇒ ln (3/5) / ln (0.5) = x/18

⇒ x = ( 18 × ln (3/5) ) / ln (0.5)

⇒ x = 13.3 years

Hence, we can conclude that the sample need s 13.3 years to decrease its mass from 40 grams to 24 grams.

Learn more about exponential decay here: https://brainly.com/question/27492127

#SPJ2

Step-by-step explanation:

hint base x height

or length x width

Mark the theorem below

Here

Now

Answer:

least to greatest: ∠I < ∠J < ∠H

Explanation:

angle I:

cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]

I = [tex]cos^{-1} (\frac{3}{4} )[/tex]

I = 41.41°

angle H:

cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]

H = [tex]cos^{-1} (\frac{1}{8} )[/tex]

H = 82.82°

angle J:

cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]

J = [tex]cos^{-1}(\frac{9}{16} )[/tex]

J = 55.77°

They sum up to 180°, so the steps are correct.

Answer:

yes, 240 cm is equal to 2.4 meters

Step-by-step explanation:

16cm times 15 cars is 240 cm. convert 240 cm to meters equals 2.4, so yes he has enough track for 15 cars on the train.

Answer:

240 cm

Step-by-step explanation:

multiply 16cm by 15 train cars to get 240 cm.

hope this helps and pls mark brainliest

Answer:

a)

b) 1/3

c) 1/2

d) 1/2

e) 0

Step-by-step explanation:

a) There are 2 different types of dessert and 3 different ice cream flavors.      

   Therefore, there are 6 possible ice cream orders:

b) There are 2 different desserts with apricot ice cream.

⇒ P(apricot ice cream) = 2/6 = 1/3

c) There are 3 combinations of sundae.

⇒ P(sundae) = 3/6 = 1/2

d) P(chocolate) = 2/6 = 1/3

   P(blackberry waffle cone) = 1/6

⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2

e) P(orange sherbet) = 0

as orange sherbet was not an option!

[tex] \leadsto \sf \dfrac{7}{9} \times 6[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{7 \times 6}{9} [/tex]

[tex] \\ [/tex]

[tex] \leadsto \sf \dfrac{7 \times \cancel 6}{ \cancel9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{7 \times 2}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{14}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \textsf{ \textbf{4.67}}[/tex]

__________________☆~

BrainlyVIP☪

done answer your three lates question, now give me brainliest please

Answer:

LOVE I THINK LOL

Step-by-step explanation:

FOUR HEARTS MEAN YOU ARE GOING TO MARRY A LOVLY WOMAN LOL.

Answer:

Slope= 3/-1 or -3

Step-by-step explanation:

-2-1= 3

8-  -1= 9