Answer correctly please

. A carton of bolts weighs 7.8 pounds. How much does a carton containing 0.38 times as many bolts weigh?

Ber [7]

2.964 bolts
Because 7.8*.38=2.964

3 0

3 years ago

WILLLLL GIVE BRAINLEST

Tomtit [17]

Answer:

The third one, is the correct

7 0

3 years ago

Read 2 more answers

A line passes through the point(-4,-6) and has a slope of 1/2 What is the equation of the line?

alex41 [277]

Answer:

x-2y-8=0

Step-by-step explanation:

The equation of line is given by the relation

y-y1=m(x-x1)

where m is the slope

now, given x1=-4 and y1=-6 and the slope is 1/2.

substitute into the equation to get

y+6=1/2(x+4)

multiplying through with the L.C.M

which is 2

2(y+6)=1/2×2(x+4)

2y+12=x+4

making x the subject

x= 2y+8 hence the equation of the line is x-2y-8 =0

4 0

3 years ago

Solve for x 34=-2x solve for x

In-s [12.5K]

Answer:

x = -17

Step-by-step explanation:

Divide both sides by two and get:

x = -17

7 0

4 years ago

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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.

Arisa [49]

Answer: $S_n=5(1-\dfrac{1}{n+1})$ ; 5

Step-by-step explanation:

Given series : $[\dfrac{5}{1\cdot2}]+[\dfrac{5}{2\cdot3}]+[\dfrac{5}{3\cdot4}]+....+[\dfrac{5}{n\cdot(n+1)}]$

Sum of series = $S_n=\sum^{\infty}_{1}\ [\dfrac{5}{n\cdot(n+1)}]=5[\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}]$

Consider $\dfrac{1}{n\cdot(n+1)}=\dfrac{n+1-n}{n(n+1)}$

$=\dfrac{1}{n}-\dfrac{1}{n+1}$

⇒ $S_n=5\sum^{\infty}_{1}\dfrac{1}{n\cdot(n+1)}=5\sum^{\infty}_{1}[\dfrac{1}{n}-\dfrac{1}{n+1}]$

Put values of n= 1,2,3,4,5,.....n

⇒ $S_n=5(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+......-\dfrac{1}{n}+\dfrac{1}{n}-\dfrac{1}{n+1})$

All terms get cancel but First and last terms left behind.

⇒ $S_n=5(1-\dfrac{1}{n+1})$

Formula for the nth partial sum of the series :

$S_n=5(1-\dfrac{1}{n+1})$

Also, $\lim_{n \to \infty} S_n = 5(1-\dfrac{1}{n+1})$

$=5(1-\dfrac{1}{\infty})\\\\=5(1-0)=5$

4 0

3 years ago