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2 years ago

Write the expression |5x - 4| without absolute value signs

Mathematics

1 answer:

Leokris [45]2 years ago

8 0

Answer:

Step-by-step explanation:

Basically those lines next to the problem are absolute value signs. Get rid of those then your problem is solved.

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in a factory that manufactures tires, a machine responsible for molding the tire has a failure rate of 0.2%. If 1,000 tires are

goldfiish [28.3K]

Okay, so let's find the actual failure rate first. 6/1000 times 100 (to give over a 100%) equals to 0.6. The actual failure rate is 0.6%. The theoretical probability is 0.2% 0.6-0.2=0.4. The difference is 0.4%.
Hope that helped!

4 0

3 years ago

Read 2 more answers

The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap

Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0) - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220, S1 = 240

220-240 = 16d

d = -20/16 = -5/4

Since T(0) has not been defined, it could be any number.

7 0

2 years ago

PLZ SOMEONE HELP ME THIS IS URGENT AND MY MATH TEACHER IS REALLY STRICT PLZ HELP???

Zepler [3.9K]

Answer:

-4 + (-7)

-4+7

Step-by-step explanation:

here sorry it took so long

3 0

2 years ago

Read 2 more answers

(05.08A)Triangle ABC is transformed to similar triangle A′B′C′ below:

Romashka-Z-Leto [24]

Answer:

1st option is correct i.e., 1 over 2

Step-by-step explanation:

Given that Triangle ABC transformed to Triangle A'B'C'.

Coordinated of Triangle ABC are A(2,6) , B(2,4) and C(4,4)

Coordinated of Triangle A'B'C' are A'(1,3), B'(1,2) and C'(2,2)

Scale factor of Dilation is the no. of times coordinates of vertices of a figure increase or decrease.i.e.,

if A(a,b) ⇒ A'(c,d)

where, a.k=c & b.k=d then k is scale factor of dilation.

Value of k is same for all vertices.

For coordinates of A & A' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 6.k=3\implies k=\frac{1}{2}$

For coordinates of B & B' ,we have $2.k=1\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

For coordinates of C & C' ,we have $4.k=2\implies k=\frac{1}{2} \:\: and \:\: 4.k=2\implies k=\frac{1}{2}$

Therefore, the scale factor of dilation is $\:\frac{1}{2}\:$ since in all cases $k=\frac{1}{2}$

1st option is correct i.e., 1 over 2

3 0

3 years ago

(_____)^2= (cscx-1)(cscx+1)

Lady bird [3.3K]

$(csc(x)-1)(csc(x)+1)=csc^2(x)-1=cot^2(x)$

We know that $csc^2(x)-1=cot^2(x)$ because of the Pythagorean trig identity $1+cot^2(x)=csc^2(x)$ .

4 0

3 years ago