MATHEMATICS MIDDLE SCHOOL

Simplify.(x^2 + 5^x + 8)(x^2 + 2^x + 6)

A. x4 + 10x2 + 48
B. x4 + 2x3 + 6x2 + 7x + 14
C. 2x2 + 7x + 14
D. x4 + 7x3 + 24x2 + 46x + 48
Can you also explain?

Answers

Answer 1
Answer: Pretty sure it is A. x4+10x2+48
Because:
If you multiply x^2 by X^2= x4
if you multiply 5^x by 2^x- 5*2=10 and x*x= x2 so it makes 10x2 
and then 8*6=46 
so if you put that all together then it is x4+10x2+48
Answer 2
Answer: (x² + 5x + 8)(x² + 2x + 6)
(x^4 + 2x³ + 6x² + 5x³ + 10x² + 30x + 8x² + 16x + 48)
(x^4 + 2x³ + 5x³ + 6x² + 10x² + 8x² + 30x + 16x + 48)
The answer to your problem is D. x^4 + 7x³ + 24x² + 48x + 48.

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HeLP ME WITH THIS PLEASE!!!!!!

A sandbag is released from a hot air balloon that is 400ft above the ground. Using the falling object model, h = –16t2 + s, where h = height in feet, t = time in seconds, and s = initial height in feet, how long will it take for the sandbag to hit the ground?A.
25 seconds
B.
4 seconds
C.
5 seconds
D.
20 seconds

Answers

Answer:

It takes 5 seconds for the sandbag to hit the ground

Explanation:

Given:

Height at which the sand bag is released from the hot air balloon= -400 f t

To find:

Time taken for the sandbag to hit the ground, t =?  

Solution:

The initial height =s

Initially the height will be 0

Hences=0

the falling object model equation  

h=-16 t^(2)+s

Substituting the values we get,

h=-16 t^(2)+s

400=16 t^(2)

t^(2)=(400)/(16)

t^(2)=25

t=√(25)

t=5 \text { seconds }

Result:

Thus it takes 5 seconds for the sandbag to hit the ground

How does 3 in 350 compare to the 3 in 403

Answers

The 3 in 350 is in the hundreds place whilst the 3 in 403 is in the ones place.

Hope this helps :)
the 3 in the 350 is the tens place and the 3 in the 403 is in the ones

3. The length of the hypotenuse of a right triangle is 12 yards. Theother two sides are equal in length. Find the length of each side to the
nearest tenth of a yard.

Answers

Answer: The other two sides measure 8.5 yards each

Step-by-step explanation: The triangle is a right angled triangle with the other two sides of equal measurement. What this means is that, one angle measures 90 degrees and the other two angles would be of equal measurement. The reason being that we have an isosceles triangle and one property of an isosceles triangle is that two sides are equal and two angles are equal. If one angle measures 90, then the other two would be measured as

(180 - 90)/2 and this equals

90/2 and that equals 45 degrees each. To calculate the length of the equal sides, we use the trigonometric ratio of sine.

(Let one of the unknown sides be A)

Sin 45 = opposite/hypotenuse

Sin 45 = A/12

By cross multiplication we now have

Sin 45 x 12 = A

0.7071 x 12 =A

8.4852 = A

To the nearest tenth

A = 8.5 yards

This means the other equal side would measure 8.5 yards as well.

If Bob jumps 15 additional times, the total number of his jumps will be 3 times what it was 3 jumps ago. Bob has jumped _?_ times all together. A) 12
B) 18
C) 21
D) 24

Answers

The answer is twelve  because three minus fifteen is twelve so the answer is twelve .


15-1= 12 jumps

Fifteen minus one equals twelve jumps.

find the percentage decrease in the area of triangle if each of its side is halved. (by using heron\'s formula)

Answers

lets say that you had a triangle that had an area of 64, each side being 4 (4X4X4=64) then you cut each side in half 2X2X2 the percentage decrease  would be 87%

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

bobby delivers newspapers in his neighborhood. in addition to a weekly salary, he earns tips from the people he delivers to. if he delivers $200 worth of papers each week and earns 17% in tips, how much does he make from tips each week

Answers

You need to find 17% of $200.
Change 17% to a decimal: 0.17

Multiply 200 by 0.17
200 • 0.17 = 34

Bobby makes $34 in tips each week
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