MATHEMATICS HIGH SCHOOL

Which of the following could be used to estimate the quotient?3,458 ÷ 17

3,000 ÷ 200 = 15
4,000 ÷ 100 = 40
4,000 ÷ 10 = 400
3,000 ÷ 20 = 150

Answers

Answer 1
Answer: the last one i think

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PLS I NEED HELP RIGHT NOW HOW DO WE SOLVE THIS

Please help me with this equation

Answers

Answer:

θ = π/6 or 5π/6

Step-by-step explanation:

2 sin^2 (θ) + 5 sin (θ) = 3

First step to solving for the solution is by factoring.

Since these are both sin functions, this equation can be rewritten like this:

2 sin^2 (θ) + 5 sin (θ) = 3 → sin (θ) (2 sin(θ) + 5) = 3.

Then

sin (θ) (2 sin(θ) + 5) - 3 = 0

θ = π/6 + 2πn, θ = 5π/6 + 2πn

What is the answer
(x³)^4

Answers

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

Answer:

Step-by-step explanation:

x^3^4

x^12  multiply the powers

Gary bought a car for $40,000. If V = 40,000(.85)t represents the value of the car after t years, how long will it take the car to be worth less than one-fourth of its purchase price? A) 4 years B) 6 years C) 8 years D) 9 years

Answers

Answer:

D) 9 years.

Step-by-step explanation:

We have been given that Gary bought a car for $40,000 and equation V=40,000(0.85)^t represents the value of the car after t years.

First of all we will find the one-fourth of 40,000.

\text{One-forth of car's purchase price}=(\$40,000)/(4)

\text{One-forth of car's purchase price}=\$10,000

To find the time it will take the car to be worth less than one-fourth of its purchase price, we will substitute V=10,000 in our given equation.

10,000=40,000(0.85)^t

Let us divide both sides of our equation by 40,000.

(10,000)/(40,000)=(40,000(0.85)^t)/(40,000)

0.25=0.85^t

Let us take natural log of both sides of our equation.

ln(0.25)=ln(0.85^t)

Using natural log property ln(a^b)=b*ln(a) we will get,

ln(0.25)=t*ln(0.85)

(ln(0.25))/(ln(0.85))=(t*ln(0.85))/(ln(0.85))

(-1.3862943611198906)/(-0.1625189294977749)=t

8.530048563597=t

Upon rounding our answer to the nearest year we will get,

t\approx 9

Therefore, it will take 9 years the car to be worth less than one-fourth of its purchase price and option D is the correct choice.

The steps in writing f(x) = 18x + 3x2 in vertex form are shown, but a value is missing in the last step. Write the function in standard form. f(x) = 3x2 + 18x Factor a out of the first two terms. f(x) = 3(x2 + 6x) Form a perfect square trinomial. f(x) = 3(x2 + 6x + 9) – 3(9) Write the trinomial as a binomial squared. f(x) = 3(x + ______)2 – 27

Answers

To find the vertex form of parabolay=a(x-x_0)^2+y_0 given in almost standard formy=ax^2+bx+c, were written following steps:

1.  Write the function in standard form:

y=3x^2+18x.

2. Factor a out of the first two terms:

y=3(x^2+6x).

3. Form a perfect square trinomial:

y=3(x^2+6x+9-9)=3(x^2+6x+9)-3\cdot 9.

4. Write the trinomial as a binomial squared:

y=3(x+3)^2-27.

The vertex is (-3,-27).

Answer: missing value is 3

The function  in vertex form is y = 3( x+3)² -9

What is a Function ?

A function is a mathematical statement formed for relating a dependent and in independent variable.

It is given that

f(x) = 18x +3x²

To write it into vertex form

The standard vertex form is given by

y =a(x- h)² +k

y = 18x +3x²

y = 3(x² +6x)

y = 3 (x² + 2.3 x + 9) -9

y = 3( x+3)² -9

Therefore in vertex form the function is y = 3( x+3)² -9

To know more about Function

brainly.com/question/12431044

#SPJ5

For the school play , adult tickets cost $4 and children cost $2. Natalie is working at the ticket counter and just sold $20 worth of tickets. What are all of the possible ticket combinations for $20 worth tickets?

Answers

5 adult tickets
4 adult 2 kids
3 adult 4 kids
2 adult 6 kids
1 adult 8 kids
10 kids
:)

I dont know the answer but i try to reach 20 characters

Of 10 students surveyed in a school , 7 picked Summer as their favorite season. If the school has 350 students. How many can be expected to perfer summer?

Answers

Answer:

The expected number of students to prefer summer=245

Step-by-step explanation:

Step 1

Determine the number of students that prefer summer as their favorite season, and the sample size

number that prefer summer=7

sample size=10

Step 2

Determine the probability of a student picking summer as their favorite season as shown;

Probability=number that prefer summer/sample size

Probability=7/10=0.7

Step 3

Determine the total number of students out of the total population that can be expected to prefer summer as follows;

Expected number of students=probability×total number of students

where;

probability=0.7

total number of students=350

replacing;

Expected number of students=(0.7×350)=245

The expected number of students to prefer summer=245
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