What is the length of the dotted line, to thr nearest inch?​

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Work Shown:

L = number of students in Lee's class

F = number of students in Fred's class

Lee has 1.1 times as many students compared to Fred

This means we have this equation

L = 1.1F

Whatever the value of F is, we multiply that by 1.1 to get the value of L

The two amounts L and F add to 42 total students

L+F = 42

1.1F + F = 42 .... replace L with 1.1F

2.1F = 42

F = 42/(2.1)

F = 20 .... Fred has 20 students

L = 1.1*F

L = 1.1*20

L = 22 .... Lee has 22 students

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Check:

L+F = 22+20 = 42

this confirms the answer

Answer:

the density is 25 grams

Step-by-step explanation:

Length of wood=9 cm

Volume of wood =9x9x9=729cm^3

Mass of wood(m) =23g

Density of wood =m/V

=23/729

=0.03 g/cm^3

The density of the cube of wood will be 0.32 grams per cubic cm.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

A cube of wood measures 9 centimeters on a side and weighs 23 grams. Then the density is a ratio of the weight to volume.

Denasity = Mass / Volume

The volume of the cube is given as,

V = 9³

V = 729 cm³

Then the density is given as,

D = 23 / 729

D = 0.32 gram / cubic cm

The density of the cube of wood will be 0.32 grams per cubic cm.

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Answer:

w = (30 - 5z)/4

Step-by-step explanation:

solve with inverse operations

4w + 5z = 30

-5z            -5z

4w = 30 - 5z

/4       /4

w = (30 - 5z) / 4

Answer:

w=15/2-5z/4

Step-by-step explanation:

4w+5z=30

4w=30-5z

Divide 4 on both sides

w=30/4-5z/4

w=15/2-5z/4

Answer:

(Part A.)

Step 2

(Part B.)

Step 1. 2(x + 9) = 4(x + 7) + 2

Step 2. 2x + 18 = 4x + 28 + 2

Step 3. 2x + 18 = 4x + 30

Step 4. -12 = 2x

Step 5. -6 = x

Step-by-step explanation:

(Part A.)

Emily incorrectly distributes 4(x + 7). This should be 4x + 28 instead of 4x + 7.

(Part B.)

On Step 2, Emily should have properly distributed 4(x + 7) as 4x + 28. Step 4, -8 is not a coefficient of x.

Answer:

105

Step-by-step explanation:

its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105

The amount of usage of vinegar is 26 [tex]\frac{1}{4}[/tex] (26.25) tablespoons.

Calculations :

             produce a chemical reaction with

              7 tablespoons of vinegar                       =  4

              So , divide both :  15/4 = 3.75 = 3 3/4

                                          = 3.75 x 7 = 26.25 = 26 1/4 tablespoons

                                                                                          of vinegar

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Answer: intersecting but not perpendicular

Step-by-step explanation: Let's start by eliminating a few options.

First off, parallel lines are coplanar lines that do not intersect.

In the diagram shown, lines i and k do intersect

so option A doesn't make any sense.

We can also eliminate option C because by definition,

parallel lines do not intersect so we can cross this off.

We also can't conclude that lines i and k are perpendicular,

because we don't have a box at the vertex and from the

diagram shown, it doesn't look like they form a perfect right angle.

That leaves us with option D.

Notice that these two lines cross at a point.

When two lines cross at a point, we say that they intersect.

So they are intersecting lines but not perpendicular.

here's a screenshot of the answer

Answer:(-4,-3)

Step-by-step explanation:

if its rotates from -4,3 its going to move to quadrent 3 and in quadrent 3 is negitives thus it being -4,-3

The required image of the given point after 90° rotation is (-4, -3).

Given that,
To determine the image of the point (-4,3) under a rotation of 90 (counterclockwise) centered at the origin.

Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.

here,
Given point (-4, 3), located in the 2nd quadrat when rotating it by 90 counter-clockwise it will go into the 3rd quadrant is implied that the point will go through a transformation of (x, -y), so the image of the point is given as (-4, -3).

Thus, the required image of the given point after 90° rotation is (-4, -3).

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Answer:

Step-by-step explanation:

Answer:

zxczxcz

Step-by-step explanation:

The equation formed after the transformations is given as follows:

[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]

The parent function in this problem is defined as follows:

[tex]f(x) = \sqrt{x}[/tex]

For the vertical shrink by a factor of 1/6, the function is multiplied by 1/6, hence it is given as follows:

[tex]g(x) = \frac{1}{6}\sqrt{x}[/tex]

For the translation left 3 units, we have that x -> x + 3, hence:

[tex]g(x) = \frac{1}{6}\sqrt{x + 3}[/tex]

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Answer:

49

Step-by-step explanation:

the dimensions are 7x7x7 since its a cube so the cube root of 343 is 7. the base would be 7x7=49

Answer:

8q - 2

Step-by-step explanation:

Use PEDMAS .

4q + 2(3q - 1) - 8q ÷ 2² = 4q + 2*3q - 2* 1 - 8q ÷ 4  

                                     = 4q + 6q - 2 - 2q          {Combine like terms}

                                     = 4q + 6q - 2q  - 2

                                     = 8q - 2                                

Answer:

8q - 2 is the answer,

Step-by-step explanation:

^^^

Answer:

  (f/g)(x) = (x-1)/(2x-3)

Step-by-step explanation:

Factor and simplify.

  [tex](f/g)(x)=\dfrac{f(x)}{g(x)}=\dfrac{2x^2-5x+3}{4x^2-12x+9}=\dfrac{(2x-3)(x-1)}{(2x-3)^2}\\\\\boxed{(f/g)(x)=\dfrac{x-1}{2x-3}}[/tex]

Answer:

2·2·2·2 = 16

Step-by-step explanation:

everytime a number is raised by another, that means you are going to multiply the base number  times itself as many times as the exponents tells you. this is a little but tricky to explain, so let me give you some examples:

2² → in this case the base number is 2 and the exponent is 2 as well, so you will multiply 2 times itself, 2 times:

2² = 2 · 2 = 4

2³ → in this case the base number is 2 and the exponent is 3, so you will multiply 2 times itself, 3 times:

2³ = 2 · 2 · 2 = 8

In the question asked, 2 is being raised by 4, so you will multiply 2 times itself, 4 times:

2^4 = 2·2·2·2 = 16

the same format will be used regardless of the base number and the exponent

i hope this helps! :)

Answer:

option a is the right answer

The decay factor is the decay constant subtracted from 1.

The decay factor is (c) [tex]0.87[/tex]

We have:

[tex]T_\frac{1}{2} = 5.26[/tex]

First, we calculate the decay constant [tex](\lambda)[/tex]

This is calculated using

[tex]\lambda = \frac{0.693}{T_\frac{1}{2}}[/tex]

So, we have:

[tex]\lambda = \frac{0.693}{5.26}[/tex]

[tex]\lambda = 0.13175[/tex]

Next, we calculate the decay factor (b) using:

[tex]b =1 - \lambda[/tex]

So, we have:

[tex]b =1 - 0.13175[/tex]

[tex]b =0.86825[/tex]

Approximate to 2 decimal places

[tex]b =0.87[/tex]

Hence, the decay factor is (c) [tex]0.87[/tex]

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Answer:

= 55/3

Step-by-step explanation:

yw ;)

Answer:

B

Step-by-step explanation:

its on edge

The trigonometric equation is given as y = 3 sin ( x/3 )

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the trigonometric equation be represented as y

The value of y = 3 sin ( 1/3 x)

y = 3 sin ( x/3 )

Now , Use the form a sin ( bx - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift

Substituting the values in the equation , we get

a = 3 and b = 1/3

And , the period of 3 sin ( x/3 ) = 6π

So , the function is f ( x ) = 3 sin ( x/3 )

Now , when x = 0 , f ( x ) = 0

when x = 3π/2 , f ( x ) = 3

when x = 3π , f ( x ) = 0

when x = 9π/2 , f ( x ) = -3

Therefore , the graph of the function f ( x ) = 3 sin ( x/3 ) is given below

Hence , the trigonometric equation is 3 sin ( x/3 )

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Answer:

i thik itz 3

Step-by-step explanation:

Answer: {x,y}={5,2}

Step-by-step explanation:

My preferred course is Statistics because I enjoy analyzing data, making predictions and using probability to make decisions. Statistics is useful in many fields including business, economics, and science.

Mathematics is a fundamental subject that is essential for all students to learn in school. As students advance through different math courses, they will find that there are more connections between them than they might initially realize.

In this essay, I will discuss the similarities and differences between the math courses I have taken and how they influenced my choice of preferred course.  

 The courses I have taken include Algebra, Geometry, Calculus, and Statistics. In Algebra and Geometry, I found that both subjects involve solving problems using formulas and equations.

In Algebra, I learned how to solve linear equations and inequalities while in Geometry, I learned how to measure the shapes of objects and their angles.

On the other hand, Calculus was different from the other courses because it involved analyzing and solving problems using limits, derivatives, and integrals.

Statistics, however, was the course that I found most useful because it allowed me to make informed decisions based on data analysis.    Additionally, it is a prerequisite for most advanced degrees in these fields.

I believe that my experience in the other math courses played a significant role in helping me understand Statistics better because they provided a strong foundation of mathematical concepts and problem-solving skills.

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Answer:

c≈15.07

Step-by-step explanation:

c=a2+b2=11.12+10.22≈15.07481

Answer:

Candy bars cost $2

Step-by-step explanation:

If you take the $22 and subtract 4 you will get $18 which 18 divided by 2 is 9 so each candy bar cost $2.

hope this helps

Answer:

55

Step-by-step explanation:

11-29*2837=29373

dishd

jeudhd

ehdhxjs

e

d

d

d

d

d

d

d

f

g

Answer:

1. 1.1

2. 1.13

3. 1.16

4. 1.192

5. 1.199

6. 1.24

Answer:

1.1, 1.13, 1.16, 1.192, 1.199, 1.24

Hope this helps!

Answer:

8

Step-by-step explanation:

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

Answer:

8.

Step-by-step explanation:

(2^3) means " two to the power of three' ,a.k.a. " What is two multiplied by itself three times, also known as two times two times two, which is 2 x 2 x 2.

Which is 8.

Answer:

Step-by-step explanation:

Answer Text

an equilateral triangle

a right angled triangle

an isosceles triangle

None of these

Answer :

A

Solution :

Acute angle between the lines x2+4xy+y2=0 is tan2(24−1−−−−√)/(1+1)=tan−13–√=tan−1π/3. Angle bisectors of x2+4xy+y2=0 are given by x2−y21−1=xy2

x2−y2=0⇒x=±y

As x+y=0 is perpendicular to x−y=4, so the given triangle is equilateral triangle

Answer:

Step-by-step explanation:

only d can be correct,but not always.

let s=√8 (irrational)

t=√2  (irrational)

s/t=√8/√2=√(4×2)/√2=2√2/√2=2 (rational)

so d is true.

again take another example

let s=π (irrational)

t=√2

s/t=π/√2 (irrational)

d  is not true.

"The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.

Since the graph is a straight line that passes through the origin (0,0) and the point (1, 28.5), we can determine the equation of the line using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

To find the slope (m), we can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points, we have:

m = (28.5 - 0) / (1 - 0)

m = 28.5 / 1

m = 28.5

So, the slope of the line is 28.5.

Since the line passes through the origin (0,0), the y-intercept (b) is 0.

Therefore, the equation of the line is y = 28.5x.

Based on this information, the statement that must be true is: "The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."

In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.

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Answer:

I have no clue lol

Step-by-step explanation:

jbs k hk hovlclcoyistkhdlhxdino egg

Answer: $750 same as aussie eggs