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Snowcat [4.5K]
2 years ago
12

Find the volume of the box. Use the formula V = lwh. Rectangular box with sides x plus 2, 2x minus 1, and 3x plus 1.

Mathematics
1 answer:
nata0808 [166]2 years ago
3 0
I got.......6x^3 + 5x^2 - 3x - 2................not sure though
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Find the hypotenuse of each Isosceles right triangle when the legs are of the given measure.
ludmilkaskok [199]

Answer:

12

Step-by-step explanation:

We can use the pythagorean theorem giving us:

a^2+b^2=c^2

(6sqr2)^2 + (6sqr2)^2 = c^2

72+72=c^2

144=c^2

12=c

6 0
2 years ago
Do-nothing #1 can count 5 more ceiling dots
klasskru [66]

Answer:

2

Step-by-step explanation:

5 0
2 years ago
Mark correctly drew a heptagon on the board. How many interior angles does Mark's heptagon have?
olchik [2.2K]
There are 7 interior angles
7 0
3 years ago
A wholesaler of kitchen appliances offers a discount of 12% on the first $ 10,000 worth of goods and 17% on additional goods.Wha
Crazy boy [7]

First, let's figure how much will 12% discount take off 10,000 dollars worth of goods.

To do that, we can multiply 12 by 10,000 and then divide by 100 to get the discount.

12 x 10,000 = 120,000

120,000/100 = 1,200

The discount for 12% of 10,000 is 1,200 dollars off.

Then, we would subtract that from 10,000.

10,000 - 1,200 = 8,800

After that, we need to solve for the amount taken off 17% of 8,800.

Same thing, multiply 17 by 8,800 and then divide by 100.

17 x 8,800 = 149600

149,600/100 = 1496

Lastly subtract that from 8800.

8800 - 1496 = 7304

Therefore, the final cost of $18,000 worth of appliances is $7,304 plus tax.

7 0
2 years ago
2 more questions thanks
sergey [27]
These are two questions and two answers.

1) Problem 17.

(i) Determine whether T is continuous at 6061.

For that  you have to compute the value of T at 6061 and the lateral limits of T when x approaches 6061.

a) T(x) = 0.10x if 0 < x ≤ 6061

T (6061) = 0.10(6061) = 606.1

b) limit of Tx when x → 6061.

By the left the limit is the same value of T(x) calculated above.

By the right the limit is calculated using the definition of the function for the next stage: T(x) = 606.10 + 0.18 (x - 6061)

⇒ Limit of T(x) when x → 6061 from the right = 606.10 + 0.18 (6061 - 6061) = 606.10

Since both limits and the value of the function are the same, T is continuous at 6061.

(ii) Determine whether T is continuous at 32,473.

Same procedure.

a) Value at 32,473

T(32,473) = 606.10 + 0.18 (32,473 - 6061) = 5,360.26

b) Limit of T(x) when x → 32,473 from the right

Limit = 5360.26 + 0.26(x - 32,473) = 5360.26

Again, since the two limits and the value of the function have the same value the function is continuos at the x = 32,473.

(iii) If  T had discontinuities, a tax payer that earns an amount very close to the discontinuity can easily approach its incomes to take andvantage of the part that results in lower tax.

2) Problem 18.

a) Statement Sk

You just need to replace n for k:

Sk = 1 + 4 + 7 + ... (3k - 2) = k(3k - 1) / 2

b) Statement S (k+1)

Replace

S(k+1) = 1 + 4 + 7 + ... (3k - 2) + [ 3 (k + 1) - 2 ] = (k+1) [ 3(k+1) - 1] / 2

Simplification:

1 + 4 + 7 + ... + 3k - 2+ 3k + 3 - 2] = (k + 1) (3k + 3 - 1)/2

                 k(3k - 1)/ 2 + (3k + 1) = (k + 1)(3k+2) / 2

Do the operations on the left side and  you will find it can be simplified to k ( 3k +1) (3 k + 2) / 2.

With that you find that the left side equals the right side which is a proof of the validity of the statement by induction.

4 0
2 years ago
Read 2 more answers
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