What is B=T-Lc for T

Answers

Answer 1

Answer: $B=T-Lc \n \n \boxed{T=B+Lc}$

Answer 2

Answer: Just add Lc to both sides

T = B + Lc

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Increase £240 by 30%?

Answers

240*0.30=72

72+240=312 euro

240 x 0.30 = 72
72 + 240 = 312

Zoe and Josiah are both selling cookie dough for a fundraiser. Although Zoe has already sold 12 tubs, Josiah hasn't sold any yet. If Zoe starts selling 2 tubs per day and Josiah begins selling 4 tubs per day, they will eventually sell the same amount of cookie dough.

Answers

Answer:

6 days

Step-by-step explanation:

Given

Zoe

Sold out = 12

Rate = 2 daily

Josiah

Sold out = 0

Rate = 4 daily

Required

Determine when they sell the same number of tubs

Represent days with d

The number of tubs sold in any give day can be calculated using:

Tubs = Sold out + Rate * Number of days

For Zoe:

Expression: 12 + 2 * d

Expression: 12 + 2d

For Josiah

Expression: 0 + 4 * d

Expression: 4 * d

Expression: 4d

Next, we equate both expressions to get the number of days

4d = 12 + 2d

Collect like terms

4d - 2d = 12

2d = 12

Solve for d

d = 12/2

d = 6

Hence, it'll take 6 days

In a class, there are io boys and 15 girls. three students are selected at random. The probability that the selected students are 1 boy and 2 girls, is options: a. 25/36 b. 18/23 c. 21/46 d. 1/32

Answers

Answer:

Step-by-step explanation:

Correct option is C)

There are 15 boys and 10 girls in a class

We have to select 3 students such that there should be 1 girl and 2 boys

The number of ways we can select 3 students is

25C3=2300

The number of ways we can select 3 students such that there is 1 girl and 2 boys is 15×7×10=1050

The probability is 1050/2300 =21/46

Therefore the correct option is C

Final answer:

finding the number of combinations for the desired scenario and the total possible combinations, we find that the probability is 21/46.

Explanation:

In order to solve this problem, we need to apply the principles of combinatorics and probability. The total number of students in the class is 25 (10 boys and 15 girls). Firstly, let's calculate the combinations for the scenario of selecting 1 boy out of 10. This can be done by 10C1 resulting in 10 possibilities. Secondly, let's calculate the combinations of selecting 2 girls out of 15, which is 15C2 and gives us 105 possibilities.

Multiply those together to find the total scenario we're interested in, which is 1,050. The total possible combinations of selecting 3 students out of 25 irrelevant of gender would be 25C3, resulting in 2,300 possible combinations.

Therefore, the probability that the selected students are 1 boy and 2 girls is 1,050/2,300. Simplifying this fraction gives us 21/46.

Learn more about Combinatorics and Probability here:

brainly.com/question/34324838

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Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?A) f(x) = (x + 8)(x + 1)(x – 3)
B) f(x) = x^3 – 6x^2 – 19x + 24
C) f(x) = x^3 + 6x^2 – 19x – 24
D) f(x) = (x – 8)(x – 1)(x + 3)

Answers

Answer:

Option: C is the correct answer.

The polynomial in standard form is:

C) $f(x)=x^3+6x^2-19x-24$

Step-by-step explanation:

The standard form of a equation of a polynomial is written as :

We arrange the terms from least to highest power of x.

We know that if a polynomial has roots as:

a, b and c then the equation of the polynomial is given by:

$f(x)=(x-a)(x-b)(x-c)$

Here we have: a= -8 , b= -1 and c=3

Hence, the equation of the circle is given by:

$f(x)=(x-(-8))(x-(-1))(x-3)\n\n\nf(x)=(x+8)(x+1)(x-3)$

which on expanding gives:

$(x+8)(x+1)(x-3)=(x^2+9x+8)(x-3)\n\n(x+8)(x+1)(x-3)=x^3-3x^2+9x^2-27x+8x-24\n\n(x+8)(x+1)(x-3)=x^3+6x^2-19x-24$

Hence, the standard equation of the polynomial is:

$f(x)=x^3+6x^2-19x-24$

The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.

A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?

Answers

I believe it would be 12, I believe this because its states that it is TWICE as long therefore is made from the same metal so 6x2=12

Find the limit of the function algebraically. limit as x approaches negative six of quantity x squared minus thirty six divided by quantity x plus six.