1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OverLord2011 [107]
3 years ago
10

1. If the product of the integers a,b, and c is 1, then what is the difference between the largest and the smallest possible val

ues of a^2*b^3*c^4?
a. -2 b. -1 c. 1 d. 2

2. Hats are purchased at the rate of $33 per dozen. If they are sold at a closeout sale for $2.50 each, the percent loss on the cost price is:
a. 3 b. 3 1/3 c. 9 1/11 d. 10
Mathematics
1 answer:
DochEvi [55]3 years ago
7 0

Problem 1

The largest value would be 1 and the smallest would be -1.

To get a product of 1, either all are 1 or two of the variables are -1 and the other one is 1.

Largest value = (1)^2 * (1)^3 * (1)^4 =1

Smallest value = (- 1)^2 * (- 1)^3 * (1)^4 = -1

The difference is:

largest value – smallest value = 1 – (-1) = 2

<span>Therefore the answer is letter D.</span>

 

Problem 2

% loss = (final price – initial price) * 100%/ initial price

where, final price per dozen = ( $2.50 / piece) (12 piece / dozen) = $30

Therefore,

% loss = ($30 - $33) * 100 / $33

% loss = - 300/ 33 = 9 1/11

<span>Therefore the answer is <span>letter C.</span></span>

You might be interested in
Express in the form n:1 give n as a decimal 21:12
Makovka662 [10]

1.75:1 which is similar to n:1 where n=1.75

<u>Step-by-step explanation:</u>

Here we have to Express in the form n:1 give n as a decimal 21:12 . Let's find out:

Given ratio as 21:12 . Let's convert it into n:1 , where n is decimal

⇒ 21:12

⇒ \frac{21}{12}

⇒ \frac{3(7)}{3(4)}

⇒ \frac{7}{4}

⇒ \frac{\frac{7}{4}}{\frac{4}{4}}                      { dividing denominator & numerator by 4 }

⇒ \frac{\frac{7}{4}}{1}

⇒ \frac{1.75}{1}

⇒ 1.75:1 which is similar to n:1 where n=1.75

7 0
3 years ago
A recipe calls for 4 cups of sugar to 5 cups of flour. How many cup(s) of
Lubov Fominskaja [6]

Answer:

4/9

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Circumference of the circle
lutik1710 [3]

Step-by-step explanation:

The formula for calculating a circle's circumference is πd, where π is an irrational number (3.14....) and d is the diameter of the circle.

In the circle with diameter 19.5cm, the circumference is around 3.14 * 19.5cm = 61.23cm. (A)

8 0
3 years ago
Read 2 more answers
Someone please help me i don’t know how to do this
statuscvo [17]
Hi I’m doing this for points
7 0
3 years ago
If you start with 85 milligrams of Chromium 51, used to track red blood cells, which
zysi [14]

About 92 days are taken for 90 % of the material to <em>decay</em>.

The mass of radioisotopes (m), measured in milligrams, decreases exponentially in time (t), measured in days. The model that represents such decrease is described below:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} } (1)

Where:

  • m_{o} - Initial mass, in milligrams.
  • m(t) - Current mass, in milligrams.
  • \tau - Time constant, in days.

In addition, the time constant is defined in terms of half-life (t_{1/2}), in days:

\tau = \frac{t_{1/2}}{\ln 2} (2)

If we know that m_{o} = 85\,mg, t_{1/2} = 27.7\,d and m(t) = 8.5\,mg, then the time required for decaying is:

\tau = \frac{t_{1/2}}{\ln 2}

\tau = \frac{27.7\,d}{\ln 2}

\tau \approx 39.963\,d

t = -\tau \cdot \ln \frac{m(t)}{m_{o}}

t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}

t\approx 92.018\,d

About 92 days are taken for 90 % of the material to <em>decay</em>.

We kindly invite to check this question on half-life: brainly.com/question/24710827

8 0
2 years ago
Other questions:
  • Find the ordered triple of these equations. 2x - 3y - 4z = -21 -4x + 2y - 3z = -14 -3x - 4y + 2z = -10
    15·1 answer
  • A teacher says that the top 14​% of the class received an A on the last test. The scores were normally distributed with mean 70
    6·1 answer
  • One half a number increased by three is greater than zero or less than or equal to negative three
    7·2 answers
  • Mr.Driscoll has 9 reports to grade.There are 6 pages for each report.He grades 12 pages.How many pages does he still have to gra
    13·1 answer
  • Given the set of test scores: 71, 75, 80, 81, 81, 84, 89, 93. If a score of 50 is added to the data set, which statement is true
    6·1 answer
  • Pls help urgently extra points and mark brainlist
    10·1 answer
  • Belinda is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three ye
    14·1 answer
  • A fish tank
    15·2 answers
  • Please answer correctly !!!!!!!will mark 50 points !!!!!!!!!!!!!!!!
    9·1 answer
  • Alma is going to Europe and wants to exchange $1,200 into euros. If each dollar is 0.75 euros, how many euros will alma get?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!