Compare the functions shown below: f(x) = 4 sin (2x − π) − 1 g(x) is points and those points are (−1, 6) (0, 1) (1, −2) (2,−3) (3, −2) (4, 1) (5, 6) h(x) = (x − 2)2 + 4 Which function has the smallest minimum y-value?

Answers

Answer 1

f(x) wins. The sine has an amplitude of 4, and 1 is subtracted, so the minimum y value is -5. g(x) is never smaller than -3, and h(x) is always positive!

Related Questions

what is the last line of proof

Answers

The answer to this question is the second choice
hope this helps:)

the third answer makes the most sense

A building manager installs sensors to see how often people turn off the lights when they leave a room. After a month, the manager has a sample size of 400, a sample mean of 47%, and a sample standard deviation of 4%. What is the confidence level for a confidence interval of 46.6% to 47.4%?

A. 68%
B. 85%
C. 99.7%
D. 95%

Answers

The answer is C.

The figures in your problem are inconsistent with the data.
The sample std deviation is not and cannot be .04 (4%).
the sample std dev is sqrt[(.47)(1-.47)/400]=.02495.
The margin of error from your CI is .474 -.47= .004 (very small).
This would represent .02495/.004= 6.24 std dev. from expected, which would have a very
high level of confidence (99.97.. %). Something is likely wrong with the figures in your problem.

Answer: 95%

Step-by-step explanation:

The function H(t) = −16t2 + 80t + 112 shows the height H(t), in feet, of a cannon ball after t seconds. A second cannon ball moves in the air along a path represented by g(t) = 20 + 5.2t, where g(t) is the height, in feet, of the object from the ground at time t seconds.

Part A: Create a table using integers 3 through 6 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points)

Part B: Explain what the solution from Part A means in the context of the problem. (4 points)

Answers

The functions are [tex]H(t)= -16t^{2}+80t+112 [/tex] and g(t)=5.2t+20,

are both functions which give the heights of cannonballs thrown from 2 different cannons.

A.
[tex]H(3)= -16(3)^{2}+80(3)+112=208 [/tex]
[tex]H(4)= -16(4)^{2}+80(4)+112=176 [/tex]
[tex]H(5)= -16(5)^{2}+80(5)+112=112 [/tex]
[tex]H(6)= -16(6)^{2}+80(6)+112=16 [/tex]

g(3)=5.2(3)+20=31.6
g(4)=5.2(4)+20=40.8
g(5)=5.2(5)+20=46
g(6)=5.2(6)+20=51.2

up to the 5th second, the ball from H is higher than the one from g,
then from the 6th second the ball from H is lower than the ball from g,

this means that the solution of H(t)=g(t), is between the 5th and 6th seconds.

B. The solution of part A means that during the 3rd, until it falls, the ball from H is falling to the ground, but it is still higher than the ball g which is rising, until a point between the 5th and 6 th seconds, where the balls are at the same height for just one instant, then the ball H continues falling, while g rises up for a few more second.

2x-3y=8 solve for (y)?

Answers

2x-3y=8

Subtract 2x from both sides

-3y=-2x+8

Divide both sides by -3

y=2/3x-8/3

remember, you can do anything to an equation as long as you do it to both sides

so

2x-3y=8
minus 2x both sides
-3y=-2x+8
divide both sides by -3
y=(-2/-3)x+(8/-3)
y=2/3 x-8/3

The length of LN is 28 centimeters. What is the length of LP?

Answers

the diagonals cut each other in two
so LP = 1/2 * 28 = 14

Answer:

we need a diagram or somthing

Step-by-step explanation:

What part of a aday is 4 hours and 20 mintes?

Answers

Let's convert everything to minutes and create a fraction.

A day has 24*60 = 1440 minutes
4 hours and 20 minutes is 4*60+20 = 260 minutes

The fraction 260/1440 simplifies to 13/72 part of a day.

A pizza delivery shop averages 20 minutes per delivery with a standard deviation of 4 minutes. What is the probability that a pizza takes less than 15 minutes to be delivered?

Answers

We have the mean, μ = 20 and the standard deviation, σ = 4

X ≈ N(20, 4²)

We want P(X<15)

Standardising gives

P(X<15) = P(Z<[tex] \frac{15-20}{4} [/tex])
P(X<15) = P(Z< -1.25) ⇒ When the value of the z-score is negative, we will read the value of z<1.25 on the z-table then subtract the answer from 1

P(X<15) = 1 - P(Z<1.25)
P(X<15) = 1 - 0.8944
P(X<15) = 0.1056

Hence, the probability that pizza takes less than 15 minutes to be delivered is 0.1056 = 10.56%

1) 8k-(6k-4)=10 show work please

2) -12x+8+5x=36 show work please

3) -2y+4=8y-6

Answers

1) 8k - (6k - 4) = 10

[tex]\mathsf{8k-6k+4=10}\\\\ \mathsf{2k=10-4}\\\\ \mathsf{2k=6}\\\\ \underline\mathsf{k=\dfrac{6}{2}=3}}[/tex]

2) -12x + 8 + 5x = 36

[tex]\mathsf{-12x+8+5x=36}\\\\ \mathsf{-12x+5x=36-8}\\\\ \mathsf{-7x=28}\\\\ \mathsf{x={28}{-7}}\\\\ \underline{\mathsf{x=-4}}[/tex]

3) -2y + 4 = 8y - 6

[tex]\mathsf{-2y+4=8y-6}\\\\ \mathsf{-2y-8y=-6-4}\\\\ \mathsf{-10y=-10}\\\\ \mathsf{y=\dfrac{-10}{-10}}\\\\ \underline{\mathsf{y=1}}[/tex]

Please help with this question on simple interest!!! Attachment below.

Answers

The formula is
I=prt
I interest earned 72
P initial investment?
R interest rate 0.03
T time 2 years
Solve the formula for p
P=I÷rt
P=72÷(0.03×2)
P=1,200

A board is 27 inches long. How long is the board in centimeters? Use the following conversion: 1 inch is 2.54 centimeters.

Answers

1 inch = 2.54 cm

so multiply 27 by 2.54

27 x 2.54 = 68.58 cm long

To convert 27 inches to centimeters, multiply 27 by the conversion factor of 2.54 cm per inch, resulting in 68.58 centimeters.

The student has asked how long a board that is 27 inches long is in centimeters, given the conversion factor that 1 inch is equal to 2.54 centimeters. To convert inches to centimeters, you multiply the length in inches by the conversion factor. In this case, you would multiply 27 inches by 2.54 to find the length in centimeters.

Here is the calculation:
27 inches x 2.54 cm/inch = 68.58 centimeters.

Therefore, a board that is 27 inches long is 68.58 centimeters long.

Complete the statement f(3) is

Answers

f(3) is asking us "What output do I get with 3 as the input?". Looking at the Domain (all possible inputs) we see that 3 is indeed a possible input so that part is ok. Checking the Range (all possible outputs) we see that an input of 3 gives one and only one output (incidentally since this is true of all inputs, this is a function in 'x'). The only output that we get with an input of 3 is -1.

The corresponding output for an input value of 3 is -1. Hence f(3) is -1

from the mapping function given, the domain values are the input values of the function while the range is the output.

To get the value of f(3), we need to check the corresponding output when the input variable is 3.

From the given one-on-one mapping, we can see that the corresponding output for an input value of 3 is -1. Hence f(3) is -1

Learn more here; https://brainly.com/question/3373678

Identify the terms and coefficients for4p+5-3g

Answers

Terms are numerals and variables separated by + and - signs.

Terms:
4p
5
-3g

Coefficients are numbers multiplied by variables.

Coefficients:
4
-3

How did Greek mathematician Pythagoras come up with the Pythagorean Theorem. Explain

Answers

The theorem was known to the Babylonians and Indians long before Pythagoras's time. However it is thought That the Greek Pythagoras was the first to construct a proof of the theorem, that,s why it was named after him.

A ramp 24 ft long rises to a platform that is 20 ft off the ground. find x , the angle of elevation of the ramp. round your answer to the nearest tenth of a degree.

Answers

[tex]sin(x)= \frac{BC}{AC}= \frac{20}{24} \approx 0.8333 \ \ \to \ \ x\approx56.4^o[/tex]

Final answer:

To determine the angle of elevation x, we use the sine function with the opposite side (20 ft) and the hypotenuse (24 ft) to get sin(x) = 20/24, and by taking the arcsin of the result, we find that x ≈ 56.4° when rounded to the nearest tenth of a degree.

Explanation:

To find x, the angle of elevation of the ramp, we can use trigonometric functions. Since we have the length of the ramp (hypotenuse) and the height of the platform (opposite side) in a right-angled triangle, we can use the sine function, which is defined as the ratio of the opposite side to the hypotenuse.

Using the sine function: sin(x) = opposite/hypotenuse = 20/24.

We first calculate the ratio: sin(x) = 20/24 = 0.8333.

To find the angle x, we take the inverse sine (also known as arcsine) of the ratio: x = arcsin(0.8333).

Using a calculator set to degree mode, we find that x ≈ 56.4° when we round to the nearest tenth of a degree.

In two supplemantary angles, the measure of one angles is 6 more than the twice the measure of the other.the measure of these two angles are

Answers

Answer:
________________________________________________________
The measurements of the 2 (TWO) supplementary angles are:
________________________________________________________
           58° and 122° .
________________________________________________________
Explanation:
_________________________________________________
Two supplementary angles:
_________________________________________________
Angle 1: "x:
_________________________________________________
Angle 2: "(6 + 2x)"
_________________________________________________
        All supplementary angles, by definition, add up to 180 degrees, so given that the 2 (two) angles are supplementary:

(x) + (6 + 2x) = 180 ; Find "x" and "(6 + 2x)" .
__________________________________________________
   x + 6 + 2x = 180 ;

      3x + 6 = 180 ;

   Subtract "6" from each side of the equation ;
___________________________________________________
      3x + 6 − 6 = 180 − 6 ;

          3x = 174 ;
___________________________________________________
Divide each side of the equation by "3" ;
to isolate "x" on one side of the equation ; and to solve for "x" ;

          3x / 3 = 172 / 3 ;

               x = 58 ;
________________________________________________
So:
________________________________________________
Angle 1: "x" : x = 58 .
________________________________________________
Angle 2: "(6 + 2x)" =  " 6 + 2(58) = 122 .
________________________________________________
122 + 58 =? 180 ? Yes!
________________________________________________
So, the measurements of the 2 (TWO) supplementary angles are:
           58° and 122° .
________________________________________________

what is 67912 to the nearest 10

Answers

67912 rounded to the nearest 10th is 67910

Gitta is asked to find the probability of getting all heads on 3 coin tosses. This is a compound event. True or False?

Answers

true, you have to get heads previously in order to get 3 in a row

Answer with explanation:

Event Joining by two or more Simple events is called Compound Event.

When you throw a coin once, getting either Head or Tail is a Simple event.

And , when you throw a coin and dice together, getting , Head and 1 , is a Compound event.Because here we joined two simple events, one is Throwing of a coin and another one is throwing a dice.

When you toss a coin thrice, it is combination of three simple events, that is tossing of coin three times .So total possible outcome

[tex]=2^3\\\\=8[/tex]

Which can be written as: {(HHH),(HHT),(HTH),(THH),(HTT),(THT),(TTH),(TTT)}

Probability of getting all heads on 3 coin tosses

= Sum of three simple events

[tex]=\frac{HHH}{\text{Total 8 Outcome}}\\\\=\frac{1}{8}[/tex]

Probability of Getting head in all three throws

[tex]=\frac{1}{2}\times \frac{1}{2} \times \frac{1}{2}\\\\=\frac{1}{8}[/tex]

Yes, this is a Compound event.

How to go from sum of products to product of sums?

Answers

Multiplication gives us distribution over the products, so

(a′+b+d′) (a′+b+c′+f′) = a′ (a′+b+c′+f′) + b (a′+b+c′+f′) + d′ (a′+b+c′+f′)

And then you can then distribute again each of the factors on the right.

Then you should simplify in any given number of ways. To take as an example, you have a′b and ba′, and since a′b + a′b = a′b + a′b = a′b, you can just drop one of them. Since bb = b, you can rewrite bb as b and etc.

So in the end part we should arrive at a sum of products. Then you can just invert. For example, if at the end you had:

p′ = a′b + bc′ + d′f ′+ a′f′

Then we would have

p = p′′ = (a′b + bc′ + d′f′ + a′f′)′ = (a′b)′⋅(bc′)′⋅(d′f′)′⋅(a′f′)′

Then applying De Morgan's laws to each of the factors, e.g., (a′b)′ = a+b′, so we would have

p = (a+b′)⋅(b′+c)⋅(d+f)⋅(a+f)

which is a product of sums.

find the measure of a base angle of a isosceles triangle if the measure of the vertex angle is 100

Answers

Sum of the angles in a triangle ... 180!

Isosceles, two of them are equal: 100 + 2x =180, x = 40 degrees! <- That's the answer ;)

If a sphere has a radius of 2 cm what is the approximate surface area of the sphere

Answers

The formula for the surface area of a sphere is [tex]SA=4 \pi r^{2} [/tex]
If your radius is 2, then filling in that formula looks like this:
[tex]SA=4 \pi ( 2^{2} )[/tex] or [tex]16 \pi [/tex]. If you leave your answer in terms of pi, which is the exact answer, you're done. But if you multiply pi in, your surface area is SA = 50.264 square cm.

Please read the attached pic. I don't remember ever being taught this...

Answers

This is notation referring to the nCr combination formula.

In this case, n = 7 and r = 3

Plug those values into the formula below and evaluate
n C r = (n!)/(r!*(n-r)!)
7 C 3 = (7!)/(3!*(7-3)!)
7 C 3 = (7!)/(3!*4!)
7 C 3 = (7*6*5*4!)/(3!*4!)
7 C 3 = (7*6*5)/(3!)
7 C 3 = (7*6*5)/(3*2*1)
7 C 3 = 210/6
7 C 3 = 35

Note: the exclamation marks refer to factorial notation.

Therefore, the answer is choice D) 35

The solutions to the inequalities 0≤x≤2,0≤y≤1, and y≤−12x+32 form a polygonal region in the plane. How many sides does this polygon have?

Answers

In order to know the shape of the polygon you plot first the last inequality because it form a line in the graph. In plotting this equation, disregard the inequality sign first. Then, set arbitrary points of x, determine y and plot them. The line is shown in the picture. Next, we test the inequality. Suppose we choose the point of origin, then,

y≤−12x+32
0 ≤ -12(0)+32
0 ≤ 32

This is true. Thus, the shaded region must include (0,0) which is located to the left of line (blue-shaded region). Next, use the two remaining boundaries. The inequality 0≤x≤2 is denoted as the black horizontal line from x=0 to x=2. Moreover, the inequality 0≤y≤1 is denotes as the black vertical line. The resulting figure is a rectangle. Therefore, the polygon has 4 sides.

At the Atkins County Fair, the crowd for a concert by The Cooper Band cannot exceed a certain number. The limit for the number of people who can attend the concert is 0.04 people per square foot of space in the arena. If the arena is shaped as a rectangle with sides 220 feet by 200 feet, how many people can attend the concert?

Answers

The first thing to do was to find the area of the space to do that we would need to do:
220*200= 44000
the area is [tex]44000ft^{2} [/tex]
next you would do:
44000/.4 to find how many people can fit
this equals 11000
11,000 people can attend the concert

concert venue sells adult tickets for $15 and student tickets for $10 . Monday, a total of 85 tickets were sold, and the total money collected was $1,115 . How many adult tickets and how many student tickets were sold?

Answers

x=adult tickets and y=student tickets

x+y=85
15x+10y=1115

so now do a system of equations

(15x+15y=1275)-(15x+10y=1115)= 5y=160 so y=32 tickets

x+32=85 so x=53 tickets

53 adult tickets and 32 student tickets

HELP !! HELP ME PLEASE WITH THESE 3 PROBLEMS !!!!25 POINTS !!!

Answers

4)

[tex]\bf \cfrac{model}{tower}\qquad \cfrac{2}{25}=\cfrac{m}{160}[/tex]

solve for "m"

5)

[tex]\bf \textit{sprinkle park to parking lot}\quad \cfrac{drawing}{park}\qquad \cfrac{15}{60}\implies \cfrac{1}{4} \\\\\\ \textit{playground to sprinkle park}\qquad \cfrac{drawing}{park}\qquad \cfrac{1}{4}=\cfrac{12}{p}[/tex]

solve for "p"

6)

[tex]\bf \begin{array}{ccllll} cake&people\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&18\\ x&108 \end{array}\implies \cfrac{1}{x}=\cfrac{18 }{108}[/tex]

solve for "x".

The mapping diagram shows a relation.

What is the domain of the relation?

{x| x = –4 , 0, 1, 2}.

{x| x = –7, –6, 2, 11, 3}.

{y| y = –4, 0, 1, 2}.

{y| y = –7, –6, 2, 11, 3}.

Answers

i can't see the diagram but when you talk about domain you mean x values so the answers are the first or second options.

Answer:B. {x| x = –7, –6, 2, 11, 3}.

Is the data set “heights of the women in the U.S. Congress” quantitative or qualitative? If it is quantitative, is it discrete or continuous?

Answers

The data is quantitative because you can average the data. It is not a label.
It is continuous because there are more than integer values of heights.

Answer with explanation:

The “heights of the women in the U.S. Congress” is Quantitative,because height of person does not represent Quality, it shows "Quantity".It means it has Magnitude.

We can find mean , median and mode of women in Congress.

So, Height of women in US congress is Quantitative.

As, different Women have different Heights, that is any rational number , so The Height of different women will be a discrete data set.For, example, height of different women can be={167 cm, 187.6, 176.6,165.5,.....}

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line A passes through points (-1, 5) and (3, -1). Line B passes through points (7, 2) and (6, -1). At what point does line A intersect line B?

Answers

Line A
slope = (-1 - 5)/(3+1) = -6/4 = -3/2
y = mx + b
5 = -3/2(-1) + b
b = 5 - 3/2
b = 7/2
equation of line A: y = -3/2x + 7/2

Line B
slope = (-1 - 2)/(6-7) = -3/-1 = 3
y = mx + b
2 = 3(7) + b
b = 2- 21
b = - 19
equation of line B: y = 3x -19

line A intersect line B when -3/2x + 7/2 = 3x -19
so
-3/2x + 7/2 = 3x -19
3x + 3/2x = 19 + 7/2
9/2x = 45/2
x = (45/2) * (2/9)
x = 5

y = 3x - 19 = 3(5) -19 = 15 -19 = -4

(5 , -4)

answer
line A intersect line B at (5, -4)

What is the distance, in radians, between 0 and 0=pie , sin0=0

Answers

We are asked to find the distance (in radians) between 0 and pi, and sin 0 to 0.

The value of pi in degrees is 180 degrees. In radians, its value is 3.1415. So from 0 to pi, the distance is simple 3.1415 rad. Since sin 0 is equal to 0, then its distance from 0 is also 0.

Answer:

What is the distance, in radians, between 0 and the value you identified in part A? (PLATO QUESTION) pi (PLATO ANSWER)

Step-by-step explanation:

pi is the answer for plato users

How to write 100000 in scientific notation?

Answers

The answer is
1×10^5

Answer:

100000 in scientific notation:[tex]100,000=1.0\times 10^{5}m/s[/tex]

Step-by-step explanation:

Scientific notation is defined as the notation in which a number is expressed in the decimal form. This means that the number is always written in the power of 10 form. The numerical digit lies between 0.1.... to 9.9.....

If the decimal is shifting to right side, the power of 10 is negative and if the decimal is shifting to left side, the power of 10 is positive.

We are given: 100,000

Converting this into scientific notation, we get:

[tex]\Rightarrow 100,000=1.0\times 10^{5}m/s[/tex]

As, the decimal point is shifting to left side, thus the power of 5 is positive.

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