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2 years ago

Please help me with this problem!

Mathematics

1 answer:

pantera1 [17]2 years ago

5 0

12/100x10000 = 1200

17/100x8000= 1360

1360+1200 = 2560

18000 - 2560 = $15,440 (final cost)

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if Lylah completes the square for f(x)=x squared -12x+7 in order to find the minimum she must write f(x) in the general form f(x

abruzzese [7]

Answer:

A. 6

Step-by-step explanation:

f(x) = x² − 12x + 7

To complete the square, we first factor the leading coefficient to make it 1 (which it already is).

Then, we take half the second coefficient, square it, and then add to both sides. So (-12/2)² = (-6)² = 36.

f(x) + 36 = x² − 12x + 36 + 7

Then we factor the perfect square:

f(x) + 36 = (x − 6)² + 7

Then solve for f(x) by subtracting and simplifying:

f(x) = (x − 6)² + 7 − 36

f(x) = (x − 6)² − 29

So the value of a is 6.

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3 years ago

A multiple-choice test contains 10 questions. There are four possible answers for each question. a) In how many ways can a stude

AnnZ [28]

Answer :

<h3> $4^{10}$ <u> =1048576 ways </u> a student can answer the questions on the test if the student answers every question.</h3>

Step-by-step explanation:

Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.

∴ Answers=4 options for each question.

<h3>To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>

Solving this by product rule

Product rule :

<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>

From the given the event of choosing the answer of each question having 4 options is given by

The 1st event of picking the answer of the 1st question=4 ,

2nd event of picking the answer of the 2nd question=4 ,

3rd event of picking the answer of the 3rd question=4

,....,

10th event of picking the answer of the 10th question=4.

It can be written as by using the product rule

$=4.4.4.4.4.4.4.4.4.4$

$=4^{10}$

$=1048576$

<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>

3 0

2 years ago

a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea

frosja888 [35]

<u>Answer-</u>

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

<u>Solution-</u>

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be $=80\times80\times140=896000$ cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$ cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$

8 0

3 years ago

pin Co. has $52,000 in its Cash account, $20,000 in its Inventory account, and $12,000 in its Notes Payable (short-term) account

KatRina [158]

Answer:

60000

Step-by-step explanation:

Assets - liabilities = share holder equity

(52,000+20,000)−12,000=60000

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3 years ago

Students in Mr. Eaton’s class must choose a person from a list of 30 people and then write an essay about that person. The list

padilas [110]

Answer:

3/10 or 30%

Step-by-step explanation:

the probability of a...

writer = 13/30

painter = 9/30 or 3/10

musician = 6/30 or 1/5

photographers = 2/30 or 1/15

7 0

2 years ago