3. The only solution of the equation x^2 + bx + 16 = 0 isx = 4. What is the value of b?

A.) b = –16

B.) b = –8

C.) b = 8

D.) b = 16

Answers

Answer 1

Answer: $4^2+b\cdot4+16=0\n 16+4b+16=0\n 4b=-32\n b=-8$

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One number is 4 more than another, and their sum is 60. What is the smaller number?

Answers

According to your question, there are 2 unknown numbers mentioned.Let the 2 unknown numbers be represented by the variables x & y, thenx is considered to be one of the numbers being more than y by the addition of 4, .ie.x = 4 + y --- (1)The sum of the 2 numbers is 60, i.e.x + y = 60 --- (2)To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e.4 + y + y = 604 + 2y = 602y = 60 - 42y = 56y = 28 ...Ans.Recall that x is more than y by 4, then 28 is the smaller number.

Since 1950, the growth in the world population in millions closely fits the exponential function A(t) = 26000.018t, where t is the number of years since 1950. Estimate the population in the year 2018 to the nearest million.

Answers

Answer:

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Step-by-step explanation:

A basketball hoop has adiameter of approximately
18 inches. What is the
circumference of the
basketball hoop?

Answers

The perimeter of the basketball hoop is 18π inches.

The circumference of a circle can be found using the formula:

C = πd

where C is the circumference and d is the diameter of the circle.

In this case, the diameter of the basketball hoop is approximately 18 inches. So we can plug this value into the formula to get:

C = π(18)

Using a calculator or approximating π to 3.14, we can evaluate this expression to get:

C ≈ 56.52 inches

Therefore, the circumference of the basketball hoop is approximately 56.52 inches.

Learn more about perimeter here:

brainly.com/question/6465134

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What would my final balance be if i put R650 in the bank for 60 Months with an interest rate of 6%

Answers

60 months is 5 years
12 × 5 = 60

Interest = Principle amount × Rate × Time in years
= 650 × 0.06 × 5 (6% = $(6)/(100)$ = 0.06)
= R195

R650 + R195 = R845

One of the formulas for calculating the correct dosage for a child is as follows: C= a/((a+12)) ∙ 180 C = child’s dosage in milligrams a = age of the child A = adult dosage in milligrams What is the prescribed dosage of a certain medicine for a child 6 years old, if the adult dosage of the medicine is 180 milligrams?

Answers

So you already have the formula for calculating the dosage for child with: C = a/(a+12)x 180 ml Not sure why you have double brackets

variables are: a = child's age, so everywhere you have an "a" replace it with the age of child.

Example: 5 year old child

C = 5/(5+12)*180= 5/(17)*180 = 5/3060 = .0016 ml or milligrams

What is the quotient?StartFraction (negative 3) Superscript 0 Over (negative 3) squared EndFractionNegative 9StartFraction 1 Over 9 EndFractionStartFraction 1 Over 9 EndFraction9