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ra1l [238]
3 years ago
14

What is the nth term rule of the linear sequence below? 6, 13, 20, 27, 34, . . .

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

7n - 1

Step-by-step explanation:

notice that the difference between adjacent terms is 7.

so nth term is given by:

nth term = first term + (n-1)×difference (n is any number)

= 6 + (n-1)7

= 6+ 7n -7

= 7n - 1

hope this helps :-))

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Write an expression to represent: Nine minus the quotient of two and a number x.
labwork [276]

Answer:

9 - 2/x

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
Sara has a gift box with a volume of 64 in3. The length, width, and height of the box are all y inches. Sara needs to determine
antoniya [11.8K]

Answer:

No, the note papers will not fit the gift box.

Step-by-step explanation:

Given that:

Volume of the gift box = 64 in^3

Length, width and height of the box all are equal to y inches.

Dimensions of note papers = 6 inch by 6 inch

To determine:

Whether the note papers will fit the bottom of the box?

Solution:

Here, we need to find the dimensions of the gift box first.

If the dimensions of gift box are greater than or equal to the dimensions of the note papers, only then the papers will fit into the box.

As per the given question statement, the gift box is in the form of a cube.

Formula for volume of a cube is given as:

Volume = (Side)^3

Side is given equal to y inches.

64 = y^3\\\Rightarrow y = 4\ in

Dimensions of the box are lesser than that of the note papers.

Therefore, <em>the note papers will not fit into the gift box</em>.

6 0
2 years ago
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o
Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score (60+7(-2), 60+7(2))\\=(46, 74)

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

(\frac{12-60}{7}

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0
3 years ago
Evaluate each expression if x = 6, y = 8, and z = 3. <br><br><br><br> y + xz2
Aleonysh [2.5K]

8+(6)(3)^2

8+(6)(9)

8+(54)

8+54

62

I hope it helps

if it's correct, say Thanks and mark Brainliest

If it's wrong, just rate 4 stars. Don't report or delete:)

5 0
2 years ago
Read 2 more answers
X-5+x-11=100 what is the reason for this statement for geometry?​
Mariulka [41]

Answer:

because when the value of x is replaced in the factorisation it Will be equivalent to 100

3 0
2 years ago
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