All categories

2 years ago

IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!

Mathematics

2 answers:

Harman [31]2 years ago

8 0

The answer is 27units!! i think i am right

k0ka [10]2 years ago

4 0

Answer:

27 cubic units

hope this helps

have a good day :)

Step-by-step explanation:

You might be interested in

Shipping costs $0.15 per cubic inch. How much will Marcia pay to ship the box? * A.$20 B.$30 C.$40 D.$50

julia-pushkina [17]

Answer:

5×4= 20

20×10= 200

200×0.15 = 30

B. $30

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

Student is training 4 a track team during the first 3 months of the year by running 30 minutes every day, while averaging 5 mile

Novay_Z [31]

30 minutes - 5 miles;

1 hour - 10 miles

10 hours - 100 miles ...

The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted along the y-axis ( Miles ). Also:

3 months = 90 days

90 x 1/2 hours = 45 hours

Answer: The graph B ) ( or the second one ).

4 0

3 years ago

3x-2=13, seventh grade math problem.

Airida [17]

X=5 because you add 2 to 13 and divide by 3

5 0

2 years ago

Read 2 more answers

Help i got stuck please help

vodomira [7]

Answer:

Step-by-step explanation:

36 is 1.5 times 24. Than x must be 1.5 times 16. So it must be 24.

7 0

2 years ago

Read 2 more answers

IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!​

IM ALMOST DONE WITH MY DIAGNOSTIC YAY!!!!