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2 years ago

What equation do you get when you solve z-m=z+bx for x?

Mathematics

2 answers:

Nimfa-mama [501]2 years ago

8 0

X = -m/b.
Subtract z from both side and you get
-m= bx
Now divide both side by b and you get
-m/b= x

tia_tia [17]2 years ago

4 0

You divide them from both sides and you get -m/b=x

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To test the impact performance of a 10 cm thick gymnastics mat, a 20 kg cylindrical

denis23 [38]

Answer:

A)196J

B)-208J

C)3467J

Step-by-step explanation:

We are given that a 20 kg cylindrical mass is dropped onto the mat from a height of 1 m above the mat. During the impact, the cylinder’s vertical velocity reaches zero at the instant the mat has compressed to only 4 cm thick.

So, The Mat gets compressed by : 10cm - 4 cm = 6 cm=0.06 m

Using Conservations of energy

Potential energy at the top = Kinetic energy at the point before touching the surface

Kinetic energy = mgh= $20 \times 9.8 \times 1 = 196 J$

Work done by the mat do to stop the fall of the cylinder = $-mg(h+0.06)=-20 \times 9.8(1+0.06)=-208 J$

Work done= $\text{Average force} \times \text{ Compression of mat}$

$208=F \times 0.06$

F=3467J

8 0

2 years ago

In triangle ABC, the segments drawn from the vertices intersect at point G. Segment FG measures 6 cm, and segment FC measures 18

Afina-wow [57]

Answer:

The correct explaination is Point G can be the centroid because 12:6 equals 2:1

Step-by-step explanation:

Given in triangle ABC, the segments drawn from vertices intersect at point G.

Segment FG measures 6 cm and and segment FC measures 18 cm.

FG = 6 cm & FC = 18 cm

and also FC = FG + GC

18 = 6 + GC ⇒ GC = 12

Note: The centroid divides each median in a ratio of 2:1

& 12:6 give rise to 2:1

Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1

7 0

2 years ago

Read 2 more answers

Consider the following expression -2m(m+n-4)+5(-2m+2n)+n(m+4n-5) which of the following is an equivalent expression

velikii [3]

The answer is:

-2m²+4n²-mn-2m+5n

aka letter c in algebra nation

3 0

2 years ago

100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The

Marta_Voda [28]

Answer:

The median is $Median = 0.903$

Step-by-step explanation:

From the question we are told that

The sample size is n = 100

The $1^{st} \to 45^{th}$ measurements is $= 0.859 \to 0.900$

Generally since that after 0.900 we have 0.901 , then the

$46^{th} \ measurement \ is \ 0.901$

in the same manner the $47^{th} \ measurement \ is \ 0.902$ ,

Given that 0.902 was observed three times it means that

$47^{th},48^{th},49^{th} \ measurement \ is \ 0.902$ ,

Given that 0.903 was observed two times it means that

$50^{th},51^{th} \ measurement \ is \ 0.903$ ,

Given that 0.903 was observed four times it means that

$52^{nd},53^{rd},54^{th},55^{th} \ measurement \ is \ 0.904$ ,

Given that the highest measurement is 0.958 then then the $56^{th} \to 100^{th} \ measurement \ is \ between \ 0.905 \to 0.958$

Generally the median is is mathematically represented as

$Median = \frac{ [\frac{n^{th}}{2}] + [(\frac{n}{2})^{th} + 1 ]}{2}$

=> $Median = \frac{ [\frac{100^{th}}{2}] + [(\frac{100}{2})^{th} + 1 ]}{2}$

=> $Median = \frac{ [50^{th}] + [51^{th} ]}{2}$

=> $Median = \frac{ 0.903 + 0.903}{2}$

=> $Median = 0.903$

8 0

2 years ago

Ying Ying wants to buy some petunias.

Crazy boy [7]

2 petunias leave $6.50 on her wallet, and 8 leave $5.00. This means that 6 petunias cost $1.50, and that 1 petunia costs 25 cents.

.25 goes into 3.50 (the amount of money she has left in her wallet after buying 14 petunias) 14 times. 14 + 14 =28.

Ying Ying can buy 28 petunias at most.

5 0

2 years ago