Two legs of a right triangle are each 70 cm. If one leg grows at the rate of 3cm/min and the other
shrinks at the rate of 5 cm/min.
A)how fast is the hypotenuse of the triangle changing 2 minutes later?
B)how fast is the area of the triangle changing 2 minutes later?

A population has a mean of 80 and a standard deviation of 6. A sample of 49 observations will be taken. What is the probability that the sample mean will be larger than 82

Answer:

[tex]\frac{1}{9}[/tex] , 3 , 10

Step-by-step explanation:

Using the rules of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{0}[/tex] = 1

(a)

[tex]6^{-x}[/tex] = [tex]\frac{1}{6^{x} }[/tex] = [tex]\frac{1}{9}[/tex]

(b)

[tex]6^{\frac{x}{2} }[/tex] = [tex]\sqrt{6^{x} }[/tex] = [tex]\sqrt{9}[/tex] = 3

(c)

[tex]6^{0}[/tex] + [tex]6^{x}[/tex] = 1 + 9 = 10

Answer:

Why don't know wt is equal to..

Step-by-step explanation:

3(x + 4) - (2x + 7)

3x + 12 - 2x - 7

1x + 5

x + 5

Answer:

d

Step-by-step explanation:

po ang tamang sagon po

Answer:

B-at the second line

Step-by-step explanation:

hope it can help you lovelots

#LEARN WITH BRAINLY

[tex]x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9[/tex]

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

Answer:

option 3

Step-by-step explanation:

The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then

(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )

Answer:

if the units is in m/s

Step-by-step explanation:

first work out using this triangle.

distance= speed x by time

so if we're trying to find out the speed we reaarange the triangle to :

   distance

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

speed x   time

so speed = distance divided by time

distance = 45cm

divided by time = 90 seconds

But the units are cm and should be metres per second

change 45cm to m

that is 45cm = 45/ 100 = 0.45

0.45/ 90= 0.005cm

answer = 0.005 metres per second( m/s)

plz say thanks + rate !

Answer:

the slope is

2/3x+2

Hope This Helps!!!

Answer:

bar chart..

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

2x=-2+10

-2=8

x=-4

Answer:

3x-18+8=5x-2

3x-10=5x-2

3x-5x=-2+10

-2x=8

X=-4

Step-by-step explanation:

Have a great day

Answer:

Cylinder and cube are three dimensional shape

Answer:

triangular prism

rectangular prism

Step-by-step explanation:

Answer:

OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has

Answer:

where is questions asking

Answer: It’s C

Step-by-step explanation:

Gustavo used 8 round tables and 6 rectangular tables.

Since Gustavo sets up tables for a caterer on weekends, and each round table can seat 8 people while each rectangular table can seat 10 people, and one weekend, his boss asked him to set up tables for 124 people, and he uses 2 more round tables than rectangular tables, to find the number of round tables and rectangular tables Gustavo used the following calculation must be performed:

Therefore, Gustavo used 8 round tables and 6 rectangular tables.

Learn more in https://brainly.com/question/25443927

Answer:

You Need the angle GEF in order to find DEF and DGE

Step-by-step explanation:

Triangle = 180 degrees

EFD = 60 degrees

180 degrees - (GEF + 60 degrees) = EGF

DEG = 60 degrees

180 - (DEG + GEF + EFD) = EDF

180 - EGF = EGD

DEG + EGD + EDG = 180 degrees

FEG + GFE + EGF = 180 degrees

Answer:

The last one is the answer.

Answer: b > 16

Step-by-step explanation:

Because a > -25, b must be at least greater than 16, as if a is -25.1, for example, b must be 16.11.  

Option D is correct, the value of the rational expression when x = –3 is undefined.

An expression is combination of variables, numbers and operators.

The given expression is x/x²-9

x divided by x square minus nine.

Now let us find the value of the expression when x is minus three,

Plug in x as -3 in the above expression.

-3/(-3)²-9

-3/9-9

-3/0

Anything divided by zero then the value is undefined.

Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.

To learn more on Expressions click:

https://brainly.com/question/14083225

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What is the value of the rational expression x/x2-9 when x = –3?

A. -1/12

B. 0

C. 1/6

D. Undefined

Answer:

4

Step-by-step explanation:

I think if not sorry

Answer:

Ms. Brown needs 0.18 more cents to afford the pounds of granola and cranberry mix.

Step-by-step explanation:

Ms. Brown = $10 limit

Purchases 1.75 lbs of granola and 2.9 lbs of cranberry mix

Cranberry per lb = $3.25

Granola per lb = $2.19

1.75 x 2.19 = 3.8325 (Cost of granola)

2.9 x 2.19 = 6.351 (Cost of cranberry)

3.8325 + 6.351 = 10.1835 (Total cost of both cranberry and granola)

10.1835 rounded to nearest cent = 10.18

10 < 10.18

Ms. Brown doesn't have enough money to buy the pounds of granola and cranberry mix.

h = 2 + 32t - 16t^2 is the function given to model the balls flight and we want to know what time the ball is at 15 feet in the air, which is at 2 points in time since the ball takes a parabolic trajectory.

15 = 2 + 32t - 16t^2

0 = -16t^2 + 32t -13

since the equation isn't factorable we will use the quadratic formula.

(-b +- sqrt(b^2 - 4ac))/2a

=

we end up with t = (4+-sqrt(3))/4 which is t = 1.43 seconds and t = 0.57 seconds when approximated.

[tex]-5x = 78 + 25 <=> -5x = 103 <=> x = -103/5[/tex]

Answer:

Osmosis is the diffusion of water to an area of high water concentration to an area of low water concentration.

Step-by-step explanation:

Answer:

the spontaneous passage or diffusion of water or other solvents through a semipermeable membrane

Step-by-step explanation:

a process by which molecules of a solvent tend to pass through a semipermeable membrane from a less concentrated solution into a more concentrated one, thus equalizing the concentrations on each side of the membrane.

Answer:

x = 12

9x = 108º

6x = 72º

Step-by-step explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles.  2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

Hello,

We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.

But how do we find the slope (or Gradient) from two points ?

For exemple, let's find the gradient of the two points PQ...

Method

1. We need the coordinates of the point P, and the point Q :

P = (6 ; -11)

Q = (k ; -9)

2. The slope is the change in height divided by the change in horizontal distance.

In other words we :

a) subtract the x values

b) subtract the y values

c) divide

Application for PQ

subtract x values : xQ - xP = k - 6

subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2

divide : (k-6) / 2

That is the gradient of PQ.. Now let us find the gradient of PR

Application for PR

subtract x values : xR - xP = 2k - 6

subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8

divide : (2k-6)/8

That is the gradient of PR.

We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :

gradient of PQ = gradient of PR

(k-6) / 2 = (2k - 6) / 8

k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)

8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)

8k - 4k = - 12 + 48

4k = 36

k = 36 / 4 = 9

So the value of k in order for the two gradients to be equals needs to be equal to 9

Good luck

She gets 20 dollars every day.

Answer:

8

Step-by-step explanation:

1/2(4)-(-6)                  BODMAS method

2-(-6)

2+6

8