Im h--> 0

((Sqrt 9+h)-3)/h

Answers

Answer 1

Answer: $\lim_(h \to 0) ( √(9+h)-3)/(h) = ( √(9+0) -3)/(0)= (0)/(0) \n \lim_(h \to 0) ( √(9+h)-3)/(h)* ( √(9+h)+3 )/( √(9+h) +3)= \n = \lim_(h \to 0) (9+h-9)/(h( √(9+h) +3)) = \n \lim_(n \to 0) (h)/(h( √(9+h)+3) )= \n = (1)/( √(9) +3)$ =
= 1/6

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Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown.A system of equations. x plus 5 y equals 21. x plus y equals 9.The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.A coordinate grid showing Garden Produce with Batches of Salsa on the x axis and Batches of Tomato Sauce on the y axis and two lines. The first line passes through (0, 9) and (6, 3). The second line passes through (1, 4) and (6, 3).Which statement is true about the graph?Mike can make 3 batches of salsa and 6 batches of tomato sauce using all of his garden produce.Mike can make 3 batches of salsa and 3 batches of tomato sauce using all of his garden produce.Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.Mike can make 6 batches of salsa and 9 batches of tomato sauce using all of his garden produce.

What is 100,000,000 written as a power of ten?a. 10^8
b. 10^9
c. 10^10
d. 10^11

Answers

$100,000,000 = 100 * 10^6 = 1* 10^8\n~~\underbrace{~~~~~~~~~~~~~~~}\n~~~~~~~~~8$

Your answer is a. 10^8

Solve the system of equations x - 2y = 2 and 3x - 5y = 9 by writing and solving a matrix equation. Show all your work.

Answers

we solve X simultenously
x - 2y =2................equation 1
3x - 5y =9.............equation 2
find urself third equation frm dis two equations
x = 2+2y...........equation 3
SUB: 3 IN 2
3(2+2y)-5y =9
solve y
6+6y-5y=9
6y-5y=9-6
1y=3
divide both side by 1
therefore Y=3

SUB:Y=3 IN EQUATION 3
x=2+2(3)
x=8

A map is drawn using a scale of 80 mi to 1 cm. On the map , the two cities are 7.5 cm apart. What is the actual distance between the two cities ??

Answers

we know that
scale =measure in the map/measure in the actual
measure in the actual=measure in the map/scale
scale=1 cm/ 80 mi
for
measure in the map=7.5 cm
measure in the actual=?
measure in the actual=7.5 /(1/80)-----> 7.5*80-----> 600 mi

the answer is
the actual distance between the two cities is 600 miles

While the earth's orbit (path) about the sun is slightly elliptical, itcan be approximated by a circle with a radius of 93,000,000 miles.
a) How far does the earth travel in one orbit about the
sun? That is, what is the approximate circumference of the earth's path?
b) Approximately how fast is the earth traveling in its orbit in space? Calculate
your answer in miles per hour.

Answers

a. The circumference should be 186000000π mile

b. The speed of the earth should be 7750000π miles per hour.

Calculation of the circumference & speed of the earth:

Since the radius is 93000000 miles

So, here the circumference is

= 2πr

= 2π(93000000) miles

= 186000000π miles

b) Now the speed is

speed = distance ÷ time

Here the time should be 24 hours

So,

Speed = 186000000π ÷ 24

= 7750000π miles per hour

Learn more about speed here: brainly.com/question/24394014

The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.

Step-by-step explanation:

Radius (r) = 93000000 miles

a) circumference= 2πr

= 2π(93000000) miles

= 186000000π miles

b) speed = distance / time

Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.

Speed = 186000000π/24

= 7750000π miles per hour

9/35 x 7/16 x 20/21 =

show work

Answers

$(9)/(35)\cdot(\not7^1)/(16)\cdot(20)/(\not21_3)=(9)/(35)\cdot(1)/(\not16_4)\cdot(\not20^5)/(3)=(\not9^3)/(35)\cdot(1)/(4)\cdot(5)/(\not3_1)=(3)/(\not35_7)\cdot(1)/(4)\cdot(\not5^1)/(1)\n\n=(3)/(7)\cdot(1)/(4)\cdot(1)/(1)=(3\cdot1\cdot1)/(7\cdot4\cdot1)=(3)/(28)$