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3 years ago

What is the product please -1/6 x 7 x 2/5

Mathematics

2 answers:

DochEvi [55]3 years ago

5 0

Answer:

$- \frac{7}{15}$

Step-by-step explanation:

$\frac{-1}{6} * \frac{7}{1} *\frac{2}{5} = - \frac{14}{30} = - \frac{7}{15}$

You just multiply across the numerators and denominators. 14/30 can be divided by 2 on both sides to get -7/15.

Orlov [11]3 years ago

3 0

The correct answer is: " $- \frac{7}{15}$ " ; or, write as: " $\frac{-7}{15}$ " .

________________________________________

<u>Step-by-step explanation</u>:

→ -1/6 * 7 * 2/5 ; $\frac{-7}{15}$

= " $\frac{-1}{6} *\frac{7}{1} *\frac{2}{5} = \frac{(-1*7*2)}{(6*1*5)} = \frac{-14}{30}$ " ;

Now, simplify the value: " $\frac{-14}{30}$ " ;

_______

→ " $\frac{-14}{30} = \frac{(-14/2)}{(30/2)} = - \frac{7}{15}$ " ;

_______

The correct answer is: " $- \frac{7}{15}$ " ; or, write as: " $\frac{-7}{15}$ " .

_______

Hope this is helpful to you!

Wishing you well !

_______

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Plz do both of them for me and even show the work plzzzzzz

Vinvika [58]

Answer:

(a)= option 3

(b)= option 3

Step-by-step explanation:

(A) It is given that a sequence is defined by the recursive function $a_{1}=1$ and $a_{n}=a_{n-1}+n$

Now, substituting the value of n=2 in above equation,

$a_{2}=a_{1}+2$

$a_{2}=1+2$

$a_{2}=3$

Again putting n=3,

$a_{3}=a_{2}+3$

$a_{3}=3+3$

$a_{2}=6$

Putting n=4,

$a_{4}=a_{3}+4$

$a_{4}=6+4$

$a_{4}=10$

Putting n=5,

$a_{5}=a_{4}+5$

$a_{5}=10+5$

$a_{5}=15$

Putting n=6,

$a_{6}=a_{5}+6$

$a_{6}=15+6$

$a_{6}=21$

Putting n=7,

$a_{7}=a_{6}+7$

$a_{7}=21+7$

$a_{7}=28$

Hence, option 3 is correct.

(B) The given sequence is :

5, -10, 20, -40, 80.....

Since, the given sequence is GP, therefore

$a_{1}=5$ and r=-2

The nth term is given by:

$a_{n}=a_{1}r^{n-1}$

For fifteenth term, put n=15 in above equation, we get

$a_{15}=5(-2)^{14}$

= $5{\times}16384$

= $81920$

Hence, the fifteenth term is 81920.

Option 3 is correct.

5 0

3 years ago

A force of 192 lb is required to hold a spring stretched 3 ft beyond its natural length. How much work W is done in stretching i

taurus [48]

Answer:

The work done in stretching the spring is 8 lb.ft

Step-by-step explanation:

Given;

Applied force, F = 192 lb

extension of the spring, x = 3 ft

Determine the spring constant from the applied force and extension;

$k = \frac{F}{x} \\\\k = \frac{192 \ lb}{3 \ ft} \\\\k = 64 \ lb/ft$

When the spring is stretched 6 inches beyond its natural length, the work done is calculated as follows;

x = 6 inches = 0.5 ft

$W = \frac{1}{2} kx^2\\\\W = \frac{1}{2} (64 \ lb/ft)(0.5 \ ft)^2\\\\W = 8 \ lb.ft$

Therefore, the work done in stretching the spring is 8 lb.ft

8 0

3 years ago

Line 'L' is horizontal and passes through (-5,8). Line 'L is vertical and passes through $(4,-1)$. Find the point of intersectio

Elanso [62]

<h3>The two lines intersect at (4,8)</h3>

Every y coordinate on the horizontal line is the same, so each point has a y coordinate of y = 8. This is to be able to pass through (-5,8)

Every x coordinate on the vertical line is the same, so each point has an x coordinate of x = 4. This is to be able to pass through (4,-1)

Put this together to get the answer (x,y) = (4,8)

4 0

3 years ago

Read 2 more answers

Solve each absolute value equation number 1 |2x-3|=7

Dmitriy789 [7]

Answer:

x = -2, 5.

Step-by-step explanation:

|2x - 3| = 7

2x - 3 = 7

2x = 10

x = 5 or:

2x - 3 = -7

2x = -4

x = -2.

3 0

3 years ago

A plane intersects this rectangular prism perpendicular to the prism’s base.

Alexandra [31]

A rectangle, presumably, as the cross section is going to be whatever shape the outward faces are (in the case of a vertical cross section like this one)

4 0

3 years ago