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
tensa zangetsu [6.8K]
3 years ago
15

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥

1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?
Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

You might be interested in
(8x+4) + (3x^2-6x+2)
tangare [24]

(8x+4) + (3x²-6x+2)


= 8x + 4 + 3x²-6x+2


= 3x² + 2x + 6


Answer: 3x² + 2x + 6

5 0
3 years ago
Use a quadratic equation to find two real numbers with a sum of -43 and a product of 306.
vlabodo [156]

Answer:

Real numbers = 39 and 9

Step-by-step explanation:

The standard form of a quadratic equation is ax² + bx + c = 0

Given the following data;

a = 1

b = -43

c = 306

Quadratic equation formula is;

x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a}

Substituting into the equation, we have;

x = \frac {-(-43) \; \pm \sqrt {43^{2} - 4*1*306}}{2*1}

x = \frac {43 \pm \sqrt {1849 - 1224}}{2}

x = \frac {43 \pm \sqrt {625}}{2}

x = \frac {43 \pm 25}{2}

x_{1} = \frac {43 + 25}{2}

x_{1} = \frac {68}{2}

x_{1} = 39

x_{2} = \frac {43 - 25}{2}

x_{2} = \frac {18}{2}

x_{2} = 9

Therefore, the two real numbers are 39 and 9.

The quadratic equation now becomes;

x² - 43x + 306 = (x - 39)(x - 9) = 0

4 0
3 years ago
Terry has a credit card that uses the average daily balance method. For the first 18 days of one of his billing cycles, his bala
Temka [501]

Complete question:

Terry has a credit card that uses the average daily balance method. For the first 18 days of one of his billing cycles, his balance was $350, and for the last 12 days of the billing cycle, his balance was $520. If his credit card's APR is 14%, which of these expressions could be used to calculate the amount Terry was charged in interest for the billing cycle?

(0.14/365 31)(18 $350 + 12 $520 / 31)

(0.14/365 30)(18 $350 + 12 $520 / 30)

(0.14/365 30)(12 $350 + 18 $520 / 30)

(0.14/365 31)(12 $350 + 18 $520 / 31)

Answer:

(0.14/365 30)(18 $350 + 12 $520 / 30)

Step-by-step explanation:

Number of days in a year = 365

Number of days in billing cycle = (18 + 12) = 30

Interest rate per year = 14% = 0.14

Amount charged monthly :

(Monthly rate × average daily balance)

MONTHLY RATE:

(Annual interest / number of days in year) * days in billing cycle

(0.14 / 365) × 30

Average daily balance :

First 18 days ; balance = $350

Last 12 days ; balance = $520

Sum of balance / days in billing cycle

[(18 × $350) + (12 × 520)] / 30

THEREFORE, MONTHLY INTEREST CHARGE :

((0.14 / 365) × 30) ((18 × $350) + (12 × 520) / 30)

4 0
3 years ago
What is the product?<br> (6r-1)(-88-3)
8090 [49]

(6r-1)(-88-3)

Multiply the two brackets together

(6r)(-88)=-528r

(6r)(-3)=18r

(-1)(-88)=88

(-1)(-3)=3

-528r-18r+88+3 ( combine like terms)

Answer: -546r+91

4 0
3 years ago
John can reach 60 centimeters above the top of his head. If John is 2 meters tall, how high can he reach?
zlopas [31]
He can reach 2.6 meters or 260 centimeters
8 0
3 years ago
Other questions:
  • What is the length of MN¯¯¯¯¯¯¯ ?<br><br> Round to the nearest tenth of a unit.
    12·2 answers
  • Need help don't know this but need help from other
    6·2 answers
  • A print company will print business cards for $.10 each plus a setup charge of $12. Another print company offers business cards
    13·1 answer
  • Can someone help me with this
    8·1 answer
  • The sum of two numbers is −21. One number is 55 less than the other. Find the numbers.
    15·1 answer
  • If somebody can give me the answer!!! <br> Please I need help
    15·2 answers
  • Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the
    7·1 answer
  • Select the option that represents the following.
    9·2 answers
  • Imagine that the price per gallon of gas with a $7 car wash is $3.32 and the price without a car wash is $3.52 When is it worth
    11·1 answer
  • $1.92 for 16 ounces of coffee how much money is one ounce <br>​
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!