In the lab carmen has two solutions that contain alcohol and is mixing them with each other. She uses 3 times as much solution a as solution b. Solution a is 17% alcohol and solution b is 14% alcohol. How many milliliters of solution b does she use if the resulting mixture has 455 milliliters of pure alcohol?

Answer:

See below ~

Step-by-step explanation:

The functions which have a range ≥ -1 :

The first function (according to the attachment) is not part of this because on applying any value for x, it will be either less than or equal to -1.

The graph of the given function f(x)=2arcsin (x-4)+1, looks like the curve.

We have given that the function

f(x)=2 arcsin (x-4)+1,

We have to determine the graph of f(x)

Therefore we gave

Graph

Graph the trigonometric function using the amplitude, period, phase shift, and vertical shift.

An ordered pair (x, y) represents a position of a point on a coordinate graph, where x is the number on the x-axis that the point lines up with and y is the number on the y-axis that the point lines up with.

The numbers x and y in the ordered pair (x, y) are called coordinates.

We find the coordinate of the given graphs and draw a graph of the given function.

x           f(x)

3          −π−1

7/2        −π/3−1

4            −1

9          2π/3−1

5            π−1

Therefore the graph of the given function is

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Answer:

Grain, fruit, and vegetables are where natural fibers are found.

Answer:

x=55

Step-by-step explanation:

since it’s a right angle do 90*-35*=55*
Hope this helps! ;-)

Answer:

third person

Step-by-step explanation:

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

[tex](x-7)(x+2) = 0[/tex]

FOIL:

[tex]x^2 + 2x - 7x - 14 = 0[/tex]

Simplify:

[tex]x^2 - 5x - 14 = 0[/tex]

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

[tex](x-3)^2=0[/tex]

FOIL:

[tex]x^2 - 3x - 3x +9 = 0[/tex]

Simplify:

[tex]x^2 - 6x + 9 = 0[/tex]

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

[tex]-x^2-x-3=0[/tex]

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

[tex](x+1)(x-1)=0[/tex]

This is a perfect square

FOIL:

[tex]x^2-1=0[/tex]

a = 1, b = 0, c = -1

e. x-int at [tex]\sqrt{3} , -\sqrt{3}[/tex]

our equation will factor to:

[tex](x+\sqrt{3} )(x-\sqrt{3)} =0[/tex]

This is also a perfect square

FOIL and you will get:

[tex]x^2 - 3 = 0[/tex]

a = 1, b = 0, c = -3

The number of the voters in the Newyork need to be sampled will be P=19,782.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

It is given in the question that:-

Voters percentage=48%

Margin of error=0.01

Z value at 0.99 = 2.58

By using the formula:-

[tex]\rm M=z\sqrt{\dfrac{\pi(1-\pi)}{n}[/tex]

By putting the values:-

[tex]0.01=2.58\sqrt{\dfrac{0.48(1-0.48)}{n}[/tex]

[tex]\sqrt{n}=\dfrac{1.40}{0.01}[/tex]

[tex]n=19784[/tex]

Hence the number of the voters in the Newyork need to be sampled will be P=19,782.

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The names of this polygon include:

The polygon given has three sides which means that it is a triangle. It is an acute triangle because the angles are all less than 90°.

It is also a scalene triangle because all the sides have different lengths from each other.

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Answer:

Step-by-step explanation:

I: acute triangle

L: Isosceles triange

(sorry if im wrong i have not done this in a good few years lol)

Answer:

[tex]y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]

In order to find equation:

Find slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope: \dfrac{-17-(-7)}{8-(-4)}[/tex]

[tex]\rightarrow \sf slope: -\dfrac{5}{6}[/tex]

Then find equation using:

y - y1 = m(x -x1) where (x1, y1) are points, m is slope

[tex]\sf \rightarrow y - (-17) = -\dfrac{5}{6} (x - 8)[/tex]

[tex]\sf \rightarrow y = -\dfrac{5}{6} x + \dfrac{20}{3} -17[/tex]

[tex]\sf \rightarrow y = -\dfrac{5}{6} x -\dfrac{31}{3}[/tex]

[tex]1.4 ~ \text{Radians}\\\\=\left( 1.4 \times \dfrac{180}{\pi}\right)^{\circ}\\\\=\left( \dfrac{252}{3.14}\right)^{\circ}\\\\=(80.3)^{\circ}[/tex]

[tex]\text{Hence the answer is A.}[/tex]

Answer:

x⁴+2x³ +3x²+6x +12r is the answer

Answer:

h = 5 :)

Step-by-step explanation:

Nick has planted 20 flowers and can plant 7 flowers an hour, Rachel planted 5 flowers and can plant 10 flowers an hour.

f = 7h + 20

f = 10h + 5

f = 7(1) + 20 = 27

f = 10(1) + 5 = 15

(Not this one)

f = 7(2) + 20 = 34

f = 10(2) + 5 = 25

(nope..)

f = 7(3) + 20 = 41

f = 10(3) + 5 = 35

(nope!)

f = 7(4) + 20 = 48

f = 10(4) + 5 = 45

(close, but no)

f = 7(5) + 20 = 55

f = 10(5) + 5 = 55

(Yes!)

Answer: look at my work its 10 pi cm ^2

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

Area of:

The large circle =  π r^2 = π * 10^2 = 100π

The small circle = π * 5^2 = 25π.

Answer:

3/4 or 15/20

Step-by-step explanation:

this is because, you know there is 3 girls named the same thing and two boys named the same thing so if you know there are 20 people in the class, you do 3g + 2b = 5/20

So the fraction is either 15/20 or 3/4 for reduced fraction.

Answer:

(2,6)

Step-by-step explanation:

What is a dilation?

A dilation is a type of transformation that resizes an object.

To apply a dilation ( find the coordinates of a point after a dilation ) you must multiply the x and y values of the coordinates by the scale factor

Applying the dilation rule

We want to find the coordinate of vertex B after a dilation with a scale factor of 2. To do so we multiply the x and y value of vertex b by the scale factor or 2

Current coordinates of the triangle :

Coordinates after dilation

A' = (1,1) ===> (1×2,1×2) ===> (2,2)

B' = (1,3) ===> (1×2,3×2) ===> (2,6)

C' = (3,1) ===> (3×2,1×2) ===> (6,2)

The coordinate of the vertex B after the dilation is (2,6)

Answer: 69 square meters

Step-by-step explanation:

y = - 0

The line is horizontal.

Answer:

28% as a fraction can be written in many ways.  The most simplest way to convert a percentage to a fraction would just to put it over 100.  For example, 50% would be 50/100 therefore 28% would be 28/100.

However, we can simplify that fraction even more by doing (28/4)/(100/4) which would give us 7/25.

Hope this helps!

Answer:

3) B. 160

4) D. 72

5) C. 16

Step-by-step explanation:

3) 240 - 80 = 160

4) 12 = w/6

w = 6*12

w = 72

5) 44-28 = 16

Answer:

30 miles²

Step-by-step explanation:

To solve the area of the prism we have to multiply the area of the base * the height of the prism. The base of the prism is a right triangle.

(b*h)÷2 = Area of a triangle

Base = 4

Height = 3

Now:

(4*3)/2 = 6 miles²

Now we have to multiply 6 miles² by 5 as our height.

We get 30 miles² as the volume of the figure.

The circumference and the area of a circle with a radius of 9m is 28.26

The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations:

Given that:

Circumference of Circle = [tex]2\pi r[/tex]

[tex]9x=28.26[/tex]

[tex]9*3.14=28.26c[/tex]

[tex]or[/tex] [tex]28.26c[/tex] ÷ [tex]\pi(3.14)=9r[/tex]

Therefore, The circumference and the area of a circle with a radius of 9m is 28.26

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[tex]y = \sqrt[3]{x - 8} [/tex]

When translating the function in the positive x direction, we have to subtract the value from x

Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

angle c = angle a + angle b + 40

angle a = angle b - 20

angle a + angle b + angle c = 180

using the second equation in the first :

angle c = (angle b - 20) + angle b + 40 = 2×angle b + 20

using this and the second equation in the third equation :

(angle b - 20) + angle b + (2×angle b + 20) = 180

4×angle b = 180

angle b = 45°

angle a = angle b - 20 = 45 - 20 = 25°

angle c = angle a + angle b + 40 = 25 + 45 + 40 = 110°

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  [tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]

Both variables should have positive exponents in the denominator.

Answer:

<a = <b = 60°

Step-by-step explanation:

<a and <b is vertically opposite of each other, thus equal each other. 90 - 30 = <b = <a.

Answer:

a and b are equal so a and b are 60°

Answer:

Step-by-step explanation:

i do not feel like saying all the info soooo yea the answer is drumroll pls

16 i think well thats what i got

put values

Do like you do algebraic addition

Option A

Answer:

Q1 = -4, Q2 = 6

Step-by-step explanation:

In this box-and-whisker plot, the first vertical line is the first quartile (-4), the second vertical line is the median (4), and the vertical line is the third quartile (6). The box contains the middle 50% of the data set.

Each of the statistical jargons will be matched to the corresponding meaning or similarity or example.

The corresponding example of the word can be matched as follows:

Population : All the people in the marketing company region.

In statistics, a population is a group of individuals from which are subject to study.

Sample: The 380 randomly selected people who are observed to see if they will buy the product.

A sample represents the group of interest from a population, this group represent the data.

Variable: The answer Yes or No to whether a person bought the product Variable in statistic are any number or quantity that can be measured.

Data: The list of the 380 Yes or No answers to whether the person bought the product.

Data are the figures that are collected, analysed, and summarized for interpretation.

Parameter: The proportion of all people in the company's region who buy the product

Statistics: The proportion of the 380 observed people who buy the product

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Answer:

Just add me and let's our journey begins :3

Step-by-step explanation:

Just add me and let's our journey begins :3