What is the greatest integer that is less than √6+√7?It would make me happy if someone answered this question :)

Answers

Answer 1
Answer:

Answer:  5.0

Step-by-step explanation:

Answer 2
Answer:

Answer:

5

Step-by-step explanation:

√(6) + √(7) = 5.09 \n\n

Therefore 5 is the greatest integer that is less than that.


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Plz help need to find both answers

What is the area of the figure? A.
256 square inches

B.
288 square inches

C.
320 square inches

D.
384 square inches

Answers

The answer is a. What you need to do is find the area of the shape if it were a perfect rectangle - (20)(16)=320 in^2. Next you make an imaginary square in the corner (it's a square because it's 8in by 8 in) and find the area - 8^2 or (8)(8)=64. Finally you subtract the values - 320 - 64 = 256 in^2 voila.

Is the contrapositive of the following conditional true? If n>6, then n≤4.

Answers

Answer:

It is true.

Step-by-step explanation:

If a number is greater than 4, it is not greater than 6, and if a number is not greater than 4 (i.e., less than or equal to 4), it is not greater than 6.

If f(x)=3x+10x and g(x)= 2x-4, find (f+g)(x)

Answers

Answer:

=3^x +12x -4

Step-by-step explanation:

f(x)=3^x+10x

g(x)= 2x-4,

(f+g)(x) =  3^x+10x+ 2x-4,

Combine like terms

            =3^x +12x -4

NEED HELP ASAP!!!!What is the area of this composite shape?



Enter your answer in the box.

in²

Image shows a polygon that looks like a rectangle with a triangle attach to the left side of it closer to the top. The polygon has 5 sides. The top side of the polygon is 12 inches. The right side is perpendicular to the top side and is 7 inches. The bottom side is perpendicular to the right side and is 8 inches. The left side has two segment parts. The bottom part of the left side is perpendicular to the bottom and is 4 inches high. The last segment is slanted connecting the 4 inch side to the top side. This side is not labeled

Answers

Answer:

62 square inches

Step-by-step explanation:

we know that

The area of the composite figure is equal to the area of a rectangle plus the area of a triangle

so

A=(8)(7)+(1)/(2)(7-4)(12-8)

A=56+6=62\ in^2

| 5x - 1 | < 1
___ < x < 2/5

Answers

Hello,

1) if 5x-1>0 then  |5x-1|=5x-1
==> |5x-1|<1==>5x-1<1==>5x<2==>x<2/5

2) if 5x-1<0 then |5x-1|=-5x+1
==>|5x-1|<1==>-5x+1<1==>-5x<0==>x>0

0<x<2/5


If Ying Zyiyu covers the first 200 miles of a trip going at 50 mph and the last hundred going 40 mph, what was his average speed for the entire trip?

Answers

the person covers different distances at different speeds

to find the average speed we have to find the total distance travelled and the total time taken

average speed = total distance travelled / total time taken


first 200 miles

speed - 50 mph

time taken for 50 miles - 1 hour

then time for 200 miles - 1/50 x 200 = 4 hours


last 100 miles

speed - 40 mph

time taken for 40 miles - 1 hour

time for 100 miles - 1/40 x 100 = 2.5 hours


total time taken for a distance of 300 miles - 2.5 + 4 = 6.5 hours


average speed = 300 miles / 6.5 hours = 46.2 mph

average speed is 46.2 mph