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3 years ago

Ben bought the enormous box of juice shown below. He drinks 450 cubic centimeters of juice each day.

Mathematics

2 answers:

Sophie [7]3 years ago

4 0

7 days to drink box of juice

Tasya [4]3 years ago

3 0

Answer:

It takes him 7 days to drink it all

Step-by-step explanation:

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Write an explicit formula for An, the nth term of the sequence 7, -42, 252, ....

erik [133]

Answer:

$A_n = 7(-6)^{n-1}$

Step-by-step explanation:

Key skills needed: Explicit formula, Geometric sequence

1) This is a geometric sequence, meaning a constant (like 6 or 3.5) is being multiplied to every term. First we need to find the constant.

This can be done by doing -42 ÷ 7 or 252 ÷ -42

-42 ÷ 7 equals -6.

252 ÷ -42 also equals -6.

2) This means that constant is -6.

3) The general form for an explicit formula of a geometric sequence is:

$a_n = a_1(r)^{n-1}$

--> r means the constant (or common ratio) that is being multiplied.

--> $a_1$ means the first term

--> $a_n$ means the "nth" numbered term (so $a_3$ is the 3rd term, $a_{10}$ is the 10th term and so on).

--> $n-1$ is just the "n" in $a_n$ minus 1.

4) We can use this formula to create an explicit formula for the geometric sequence in the problem.

--> $r = -6$ (Since we got -6 as the constant/common ratio).

--> $a_1 = 7$ (Since 7 is the 1st term)

This means that our formula would be --> $A_n = 7(-6)^{n-1}$

Hope you understood and have a nice day!! :D

8 0

3 years ago

N-(-7)= 12 how do you rewrite

DiKsa [7]

Answer:

N + 7 = 12

Step-by-step explanation:

When you have a number minus a negative number, it's the same as addition.

4 0

2 years ago

Read 2 more answers

Given the trinomial, what is the value of the coefficient 'B' in the factored form?

Zepler [3.9K]

Answer:

B=9 (I'll solve right now, just so you get the answer)

Step-by-step explanation:

$2x^2+14xy-36y^2=2(x+By)(x-2y)$

Expand right side by distributing

$(2x+2By)(x-2y)$

Use the FOIL method to simplify (first, outside, inside, last):

$(a+b)(c+d)=ac+ad+bc+bd$

$(2x*x)+(2x*(-2y))+(2By*x)+(2By*(-2y))\\\\$

Simplify

$2x^2-4xy+2Byx-4By^2$

Re-insert

$2x^2+14xy-36y^2=2x^2-4xy+2Byx-4By^2$

Cancel out $2x^2$

$14xy-36y^2=-4xy+2Byx-4By^2$

Move all terms to one side

$14xy-36y^2+4xy-2Byx+4By^2=0$

Simplify

$18xy-36y^2-2Byx+By^2=0$

Factor out the common term 2

$2(9xy-18y^2-Byx+2By^2)$

5 0

2 years ago

C=.41+.26(z-1) solve for z

Ksivusya [100]

$c=0.41+0.26(z-1) \\0.26(z-1)=c-0.41 \\z-1=(c-0.41)/0.26 \\\boxed{z=(c-0.41)/0.26+1}$

Hope this helps.

6 0

2 years ago

HELP ASAP TEST IS OMOST OVER!!!!!!!!!!

svet-max [94.6K]

Answer: C)46 ft

Step-by-step explanation:

We know that the circumference of a circle can be calculated with this formula:

$C=2\pi r$

Where "r" is the radius of the circle.

Since John is putting a fence around his garden that is shaped like a half circle and a rectangle, then we can find how much fencing he needs by making this addition:

$Fencing=\frac{2\pi r}{2}+2l+w$

Where "l" is the lenght of the rectangle and "w" is the width of the rectangle.

Since we know that the radius of the circle is half its diameter, we can find "r". This is:

$r=\frac{7ft}{2}=3.5ft$

Then, substituting values (and using $\pi=\frac{22}{7}$ ), we get:

$Fencing=\frac{2(\frac{22}{7})(3.5ft)}{2}+2(14ft)+7ft=46ft$

4 0

3 years ago

Read 2 more answers