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nignag [31]
3 years ago
9

Find the indicated limit, if it exists.

Mathematics
1 answer:
babymother [125]3 years ago
5 0

Answer:  -3

Step-by-step explanation:

-10+7=-3

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an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
3 years ago
What are the dimensions of the base of the pyramid?
aleksley [76]

Answer:

C

Step-by-step explanation:

its a wild guess because you didn't add a picture or anything to show the  pyramid

4 0
3 years ago
Suppose x and y vary together such that y = 2 x + 11 . Suppose x varies from x = 2 to x = 8.5 .
Stells [14]

Answer:

a) x changes by 6.5 units

b) y changes by 13 units

Step-by-step explanation:

a. Over this interval, how much does x change by?

Initially, we have that x = 2.

In the end, we have that x = 8.5.

So x changes by 8.5-2 = 6.5 units

b. Over this interval, how much does y change by?

Initially, when x = 2, we have that y = 2x + 11 = 2*2 + 11 = 15

In the end, when x = 8.5, we have that y = 2*8.5 + 11 = 28

So y changes by 28 - 15 = 13 units

8 0
3 years ago
If the total area of a picture measuring 10 inches by 12 inches plus a matting of uniform width surrounding the picture is 224 s
ELEN [110]
Let
x-----------> <span>uniform width surrounding the picture

we know that
(10+2x)*(12+2x)=224-----> 120+20x+24x+4x</span>²=224
4x²+44x+120-224=0
4x²+44x-104=0

using a graph tool-----> to resolve the second order equation
see  the attached figure

the solution is
x=2 in

the answer is
2 inches

4 0
3 years ago
Marcus painted 1/3 of his bedroom in 4/5 of an hour. at this rate how long will it take him to paint his entire room
Leno4ka [110]
It will take him 2 2/5 hours
8 0
3 years ago
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