Can someone help me please

Answer:

The minimum value of the function is 5.6.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

If a > 0, then \(y_{v}\) is the minimum value of the function.

In this question:

We are given the following function:

\(f(x) = 0.1x^2 - x + 8.1\)

Which is a quadratic function with \(a = 0.1, b = -1, c = 8.1\).

To find the minimum value, we have that:

\(\Delta = b^2-4ac = (-1)^2 - 4(0.1)(8.1) = -2.24\)

\(y_{v} = -\frac{-2.24}{4(0.1)} = 5.6\)

The minimum value of the function is 5.6.

Whole circle measures 360°

So

Now

The fraction is

Step-by-step explanation:

Step 1:  Determine what fraction of the entire circle 30 degrees is

So, in an entire circle we know it is made up of 360 degrees.  We are given an angle that consists of only 30 of those degrees.  We can just do a simple division step to figure out the fraction that 30 degrees makes up.  Doing 30/360 we can simplify both the numerator and the denominator by 30 which would leave us with 1/12.  That is our final answer.

Answer: \(1/12\)

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

Read more on solution and equation here: brainly.com/question/25858757

#SPJ1

Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

Answer:

There are about 12 people with genetic mutation.

Step-by-step explanation:

If you write out the equation, it should look like this:

600*0.02 = 12

Therefore, the answer is that there are about 12 people with genetic mutation.

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

histogram

Step-by-step explanation:

Answer:

opposite sides parallel and congruent theorum

Step-by-step explanation:

Answer:

The probability mass function  that you never win \(^xC_o\) = \((\dfrac{999999}{1000000})^x\)

Step-by-step explanation:

Given that;

the winning chance of a weekly local lottery = \(\dfrac{1}{10^6}\)

= \(\dfrac{1}{1000000}\)

The probability of losing = 1 - probability of winning (winning chance)

The probability of losing = \(1- \dfrac{1}{1000000}\)

The probability of losing =\(\dfrac{999999}{1000000}\)

The probability mass function  that you never win \(^xC_o\) = \((\dfrac{1}{10^6} )^0 ( \dfrac{999999}{1000000})^x\)

The probability mass function  that you never win \(^xC_o\) = \((\dfrac{999999}{1000000})^x\)

The most appropriate choice for compound interest will be given by -

Mr Ocampo recieves 265734.15

What is compound interest?

If the interest on a certain principal increases over a period of time at a certain rate exponentially rather than linearly, then the interest is called compound interest.

If P is the principal, r is the rate and n is the time in years,

Amount (A) = \(P(1 +\frac{r}{100})^n\)

Principal invested by Mr. Ocampo = 150000

Rate = 10%

Time = 6 years

Amount recieved by Mr.Ocampo = \(150000(1+\frac{10}{100})^6\)

                                                          \(150000(1 + \frac{1}{10})^6\\150000(\frac{10+1}{10})^6\\150000(\frac{11}{10})^6\)

                                                          265734.15

To learn more about compound interest, refer to the link:

https://brainly.com/question/24924853

#SPJ9

Answer:

Step-by-step explanation:

n = 41

There are 41 students on each bus.

Answer:

Step-by-step explanation:

the first marble has a probability of  2/5

the second marble has a probability of 1/4

P(r=2) = 2/5 * 1/4 = 2/20 = 1/10

Answer:

2/5, 1/4

Step-by-step explanation:

The total amount of marbles before drawing a marble is 2+3=5. There are 2 red marbles. Thus, the theoretical probability of drawing a red marble from the bag is 2/5.

If you keep the red marble, there are now 4 total marbles in the bag. There is also only 1 remaining red marble. Thus, the theoretical probability of drawing a red marble is now 1/4.

Answer:

false

Step-by-step explanation:

just took the quiz

Answer:

false

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

Find a common denominator, but whatever you multiply it by, you must take the same number and multiply the numerator as well. I hope that helps- Good luck!

Answer:  Approximately 22.62 degrees

===============================================

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(y) = 12/13

y = arccos(12/13)

y = 22.6198649

y = 22.62

Notes:

Answer:

40 students choose Papa John's, and 24 did not

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

For each 8 students, 5 chose Papa John's. Out of 64, how many choose?

5 - 8

x - 64

Applying cross multiplication

\(8x = 5*64\)

Simplifying by 8

\(x = 5*8 = 40\)

40 students choose Papa John's.

In all, there are 64 students, so 64 - 40 = 24 did not

Answer:

ur not domb

Step-by-step explanation:

Answer:

y = - x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (4, - 3) ← 2 points on the line

m = \(\frac{-3-1}{4-0}\) = \(\frac{-4}{4}\) = - 1

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - x + 1 ← equation of line

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

1) if b = 5

Answer: never a repeating decimal.

2) if b = 6

Answer: sometimes a repeating decimal

3) if b = 7

Answer: Always a repeating decimal

4) if b = 8

Answer: Sometimes a repeating decimal

5) if b = 9

Answer: Always a reapeating decimal.

Step-by-step explanation:

1) if b = 5

Answer: never a repeating decimal.

2) if b = 6

Answer: sometimes a repeating decimal

3) if b = 7

Answer: Always a repeating decimal

4) if b = 8

Answer: Sometimes a repeating decimal

5) if b = 9

Answer: Always a reapeating decimal.

The area of the triangle is 97.07 units².

Given is a triangle we need to find the area,

So, let the triangle be ABC and the altitude be AD.

Using the trigonometric ratios,

Sin 52° = AB / AD

Sin 52° = 9 / AD

AD = 9 / Sin 52°

AD = 11.42

Now,

Tan 26° = DC / AD

Tan 26° = DC / 11.42

DC = 5.56

Also,

Cos 26° = AD / AC

Cos 26° = 11.42 / AC

AC = 12.7

BC = 11.42 + 5.56

BC ≈ 17

Now, the sides are BC = 17, AC = 12.7 and AB = 9,

The area of the triangle = 1/2 x BC x AD = 1/2 x 17 x 11.42

= 5.71 x 17

= 97.07

Hence the area of the triangle is 97.07 units².

Learn more about area of a triangle click;

https://brainly.com/question/27683633

#SPJ1

Step-by-step explanation:

(1.2 x 10^8) =120000000

(3 x 10^2). =300

120000000÷300=400000

4×10 in the power of 6

Answer:

a. it has reflectional symmetry with 16 line of symmetry

Answer:

I think D because CBD is half of ABC

Step-by-step explanation:

If I am wrong I appologize

Answer:

24 x 2 = 48 plus 24 equal 72

Step-by-step explanation:

3 days equal 72-hour

Answer:

12.5%

Step-by-step explanation:

Total hour in 3 days =72

Total%= 9/72*100

100/8

12.5%

Answer: 31 i think

Step-by-step explanation:

The mean number of correct answers will be equal to 385.

The mean is defined as the ratio of the sum of the all the numbers given by the total count of the numbers.

The total questions are 770 and consist of the true and false.

The mean of the numbers will be given as:-

Mean   =   770  /   2  =   385

Therefore mean the number of correct answers will be equal to 385.

To know more about mean follow

https://brainly.com/question/968894

#SPJ2

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

To know more about law of conservation of energy refer to:

https://brainly.com/question/23590186

#SPJ1

Answer:

0 ≤ < 2

Step-by-step explanation:

Answer:1.02 5.27 are correct

Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):

3u^2 + 6u - 4 = 0

Now we can use the quadratic formula to solve for u:

u = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 3, b = 6, and c = -4. Substituting these values, we get:

u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)

u = (-6 ± sqrt(84)) / 6

u = (-3 ± sqrt(21)) / 3

Therefore, either: