Tina has been dieting for a total of 13 weeks. She lost 3 pounds on the first week of her diet, but gained back a pound on the second week. On each remaining week of her diet, she lost 2 pounds. How many pounds has Tina lost in all?

A. 26 pounds
B. 24 pounds
C. 20 pounds
D. 22 pounds

Answer: 5/6

Step-by-step explanation:

2/3=4/6

1/6 + 4/6 = 5/6

Answer:

5/6

Step-by-step explanation:

you can rewrite 2/3 plus 1/6 as:

2/3+1/6

To add fractions you need to have a common denominator (the bottom half of the fraction). In this case 6 is a common denominator. To convert 2/3 we need to multiply it by the appropriate form of 1. We can multiply by 1 because 1 times anything does not change the value:

(2/2⋅2/3)+1/6⇒2/2⋅2/3+1/6⇒4/6+1/6⇒5/6

Answer:

[tex]\large\boxed{x=\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\dfrac{2}{x}=\dfrac{6:2}{2:2}\\\\\dfrac{2}{x}=\dfrac{3}{1}\qquad\text{cross multiply}\\\\3x=2\qquad\text{divide both sides by 3}\\\\x=\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

Any line through a vertex and the center of the opposite side is a line of symmetry. One of them is vertical in the figure shown. Two of them are diagonal. The three lines are 360°/3 = 120° apart, so the figure has 3-fold rotational symmetry.

Answer:

Step-by-step explanation:

Solve the system:

8x−4y=20

4x−8y=4

Reduce the first equation by dividing every term by -2:

-4x + 2y = -10

and then combine this result with the second equation:

4x−8y=4

-4x + 2y = -10

--------------------

      -6y = -6, and so y = 1.  

According to the first equation, if y = 1, then 4x - 8 = 4, or x = 3.

Then x = 3 and y = 1.

So, finally, x - y = 3 - 1 = 2

Your question asks to make an equation with the information that was given.

In order to make an equation for your question. We would be making an equation with the formula: y = mx + b.

Formula: y = mx + b

m = change

x = amount of ice cream

b = starting value

We would need to gather the key information from the question.

Key information:

You have $30

Each ice cream cost $5

With the information above, we can make an equation for the question.

What we know is that you started with $30, so that means that 30 would be your b value (starting value).

Your equation should look like this:

y = mx + 30

Now, we know that each ice cream cost $5, but since we're paying for the ice cream, we would subtract that from our starting value. This means that our change would be -5, since we are taking away $5 each time we buy ice cream.

Your equation should look like this:

y = -5x + 30

The equation above would be the equation for your question.

We would do nothing to x but just leave it as is, since we don't know how many ice creams you're going to buy.

y = -5x + 30 should be your FINAL answer.

Answer:179.95in

That is the awnser so how it helped

Step-by-step explanation:

Answer:

15.00 inches

Step-by-step explanation:

Recall the formula for the surface area of a sphere and a radius of r

A = 4πr²

In our case, we are given that A = 2826 ft² = 406944 in²

so,

406944 = 4πr²

r² = 406944 / (4π)      (use π=3.142)

r² = 406944 / (4π)  = 32383.57

r = √32383.57 = 179.95 in

Answer:

13/102

Step-by-step explanation:

There are 52 cards in a standard deck (not including the jokers).

So let's start with the first thing... the red part. Half the deck is red which means 52/2=26 cards are red.

So the probability of the red being drawn is 26/52 (I'm going to keep it an un-reduced form for now)

So now since it says we don't replace (we don't put the card back into the deck), there is only 51 cards to choose from now.  There are 4 suits so there are 13 of each kind of suit. So to draw a spade, the probability would be 13/51.

So the end: The probability of drawing a red then a spade without replacing is the multiplication of these probabilities I found:

So the answer is 26/52  * 13/51=13/102

Answer:

column chart

Step-by-step explanation:

hope this helps :)

It's probably a photo graph                    

[tex]\bf m-2c~:~m+c~~=~~1:k\qquad \implies \cfrac{m-2c}{m+c}=\cfrac{1}{k}\implies k(m-2c)=m+c \\\\\\ mk-2kc=m+c\implies mk-m-2kc=c\implies mk-m=2kc+c \\\\\\ \stackrel{\textit{common factor}}{m(k-1)=c(2k+1)}\implies m=\cfrac{c(2k+1)}{k-1}[/tex]

Answer:

12.5 times larger is the storage capacity of Meredith's new hard drive

Step-by-step explanation:

Meredith's new computer storage capacity = 1.5 x 10^12

Meredith's old computer storage capacity = 1.2 X 10^11

times the storage capacity of Meredith's new hard drive is larger = Meredith's new computer storage capacity/Meredith's old computer storage capacity

= 1.5X10^12/1.2X10^11

= 12.5

So, 12.5 times larger is the storage capacity of Meredith's new hard drive

Answer:

Step-by-step explanation:

Givens

To find how many times larger is the new hard drive thatn the old one, we just need to divide

[tex]\frac{1.5 \times 10^{12}bytes }{1.2 \times 10^{11} bytes }=1.25 \times 10 = 12.5[/tex]

Therefore, the new hard driave can store 12.5 times more than the old hard drive.

Answer:True

Step-by-step explanation:

Answer:

false

Explanation:

square root of x= -7

the equation would be -7 x -7

-7 x -7= 49 not -49

Answer: false

Answer:

Step-by-step explanation:

For clarity regarding what the denominator is, please use parentheses.

I believe you meant:

f(x)= 2/(x-1) +4​

This function f is a variation of the parent function y = 1/x.  The 2 stretches the graph vertically; the change from x to x - 1 translates the entire graph 1 unit to the right; and the +4 translates the entire graph up by 4 units.

I suspect you had 4 answer choices.  But you've only shared 2.  The second of the ones you've shared is the correct answer here.

Answer:

Should be D on ed.

Step-by-step explanation:

Answer:

It's A-all real numbers less than or equal to 7

Step-by-step explanation:

I just took the unit test and got a 100 on it!

The range of the function f(x) = -(x + 3)² + 7 is {y: y ∈ R, y ≤ 7}. So, option A is correct.

Given that,

f(x) = -(x + 3)² + 7

⇒ y = -(x + 3)² + 7

⇒ (x + 3)² = 7 - y

⇒ (x + 3) = √(7 - y)

⇒ x = (√(7-y)) - 3

Thus, all the real values less than or equal to 7 for y define the function. So, the domain for the obtained function is {y: y ∈ R, y ≤ 7}.

Therefore, the range of the given function is {y: y ∈ R, y ≤ 7}.

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1. Carl's constant rate of speed is the slope of the straight line graph.

This straight line passes through: (0,0), (5,1), (10,2) etc

We can use the slope formula with any two points to find the slope of this line.

The slope formula is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

Let [tex](x_1,y_1)=(0,0)[/tex] and [tex](x_2,y_2)=(5,1)[/tex]

Then [tex]m=\frac{1-0}{5-0}[/tex], [tex]\implies m=\frac{1}{5}[/tex].

Carl's speed is [tex]\frac{1}{5}[/tex] miles per minute.

But we must leave our answer in miles per hour

Hence Carl's speed is [tex]\frac{1}{5}\times 60=12[/tex]  miles per hour

After 2 hours, Carl will travel [tex]12\times 2=24[/tex] miles.

2. The given line has equation [tex]-4x+y=10[/tex]

We write this in slope-intercept form by solving for y.

[tex]\implies y=4x+10[/tex]

This is in the form [tex]y=mx+c[/tex], where [tex]m=4[/tex] is the slope.

When x=3,  [tex]y=4(3)+10[/tex]

[tex]\implies y=12+10=22[/tex]

When x=3, y=22

3. The given straight line graph that models the situation passes through:

(0,0) and (20,30).

The slope of this line is [tex]\frac{Rise}{Run}=\frac{300}{20}=15[/tex]

Therefore the rate is $ 15 per ticket.

If the theater sells 150 tickets, the earnings will be: [tex]150\times 15=2,250[/tex] dollars.

Answer:

3/4*x - 3/4*8=12

3/4x -6=12

3/4x=12+6

3/4x=18

x=24

Step-by-step explanation:

multiply 3/4 into the content inside the brackets

have -3/4*8 cross the equal sign changing its sign from - to +

divide both sides by 3/4

Angles whose terminal sides lie on the x and y axis are Quadrantal angels.

Hope it helps.

Answer:

The correct answer option is c) quadrantal angles.

Step-by-step explanation:

When the terminal sides lie on the x axis or the y axis in the standard position, the angles are called as quadrantal angles.

For example when one of the sides lie on the x axis and one lies on the y axis, it makes an angle of 90 degrees which is a quadrantal angle (as shown in the picture attached).

Answer:

n = 50

Step-by-step explanation:

The equation to solve is  [tex]9+\frac{n}{5}=19[/tex]

We can take 9 to the other side and cross multiply and solve using rules of algebra (shown below):

[tex]9+\frac{n}{5}=19\\\frac{n}{5}=19-9\\\frac{n}{5}=10\\n=5*10\\n=50[/tex]

So, n = 50

In order to find the answer to this question you must first rearrange the terms and then solve.

[tex]9+\frac{n}{5} =19[/tex]

[tex]\frac{n}{5} =19-9[/tex]

[tex]19-9=10[/tex]

[tex]\frac{n}{5} =10[/tex]

[tex]5\times10=50[/tex]

[tex]n=50[/tex]

Which means your answer is "n=50."

Hope this helps.

Area of a rectangle is Length times width.

The Width is given as X and the length is 2x+3

Now you have x * 2x+3 = 230

Multiplying x to 2x+3 = 2x^2 +3x

2x^2 +3x = 230

Subtract 230 from both sides:

2x^2+3x-230 = 0

Factor the polynomial:

(x-10) (2x+23) = 0

Solve for each x:

x = 10 and X = -11.5

Since a side of a rectangle can't be a negative number x = 10.

The width = x = 10 yards.

The length = 2(10) +3 = 23 yards.

[tex]\log1000=3[/tex]

Answer: -2, 2, -1, 4

Step-by-step explanation:

The domain are all the x-coordinates in the ordered pair.

The domain of the list is {-2, 2, -1, 4} if the list of ordered pair is (-2, 1), (2, 0), (-1, -3), (4, 6).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

List of ordered pairs is:

(-2, 1), (2, 0), (-1, -3), (4, 6)

As we know: order pair can be represented as:

(x, y) here x shows the domain of the function

and y shows the range of the function.

So the domain of the function:

= {-2, 2, -1, 4}

Thus, the domain of the list is {-2, 2, -1, 4} if the list of ordered pair is (-2, 1), (2, 0), (-1, -3), (4, 6).

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Answer:

The diameter of circle d is 9.03

Step-by-step explanation:

Circumference of Circle = 28.36

We need to find the diameter of circle.

The formula used to find the circumference of circle is:

C = 2πr

we know that radius is half of diameter

so r = d/2

Putting value of r in above equation

C = 2π(d/2)

C = πd

The value of π is 3.14. finding value of d

28.36 = 3.14 * d

=> d = 28.36 / 3.14

d = 9.03

So, the diameter of circle d is 9.03

Answer:

The diameter is approximately 9 units

Step-by-step explanation:

Circumference is given by

C = pi *d

28.36 = pi *d

Let use 3.14 for pi

28.36 = 3.14 *d

Divide each side by 3.14

28.36 /3.14 = 3.14 d/3.14

9.031847134 = d

The diameter is approximately 9 units

Answer:

Rule:

a_n = 9^(n - 1)

8th term:

a_8 = 9^(8 - 1) = 9^7 = 4,782,969

Step-by-step explanation:

a_1 = 1 = 9^0

a_2 = 1 * 9 = 9^1

a_3 = 1 * 9 * 9 = 9^2

a_4 = 1 * 9 * 9 * 9 = 9^3

Notice that the exponent on the 9 is always 1 less than the number of the term.

Rule:

a_n = 9^(n - 1)

8th term:

a_8 = 9^(8 - 1) = 9^7 = 4,782,969

Undefined terms such as points and lines are central to defining geometric concepts such as line segments and angles. They also play a crucial role in the Cartesian coordinate system, where points are defined in relation to lines (axes).

In Mathematics, particularly in Geometry, the undefined terms points and lines are used to define several other concepts. One such concept defined by these undefined terms is the 'Line Segment'. A Line Segment is simply part of a line that is bounded by two distinct endpoints, and contains every point on the line between its endpoints. Both points and lines have a defining role in constructing this definition. A line segment is an example of 'one-dimensional' structure, as it only extends in one direction, unlike a plane or volume that extend in two or three dimensions, respectively.

Another major concept that is defined using points and lines is the 'Angle'. An angle is formed when two lines meet at a point. The point is called the vertex of the angle, and the lines are the sides of the angle.

In the Cartesian coordinate system, the interaction of points and lines is at the core of defining and plotting positions. For example, a point in this system is represented by two coordinates (x, y) - where x represents its position along the x-axis (a horizontal line) and y represents its position along the y-axis (a vertical line).

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Answer:the cost of the cell phone is a function of the number of features

Step-by-step explanation:

Because the cost depends on the features

The length of the rope swing for the considered case is found being of 5 meters approximately.

If we've got:

Then, we get:

[tex]T \approx 2\pi \sqrt{\dfrac{L}{g}}[/tex]

This is the period of oscillation, the time taken for a complete cycle in a simple gravity pendulum.

Using the above formula, as for this case, we're specified that:

Then, the length of the rope is obtained as:

[tex]T \approx 2\pi \sqrt{\dfrac{L}{g}} \: \rm \:sec\\\\L = \dfrac{T^2g}{4\pi^2} \: \rm meters\\\\\L \approx \dfrac{(4.5)^2\times 2\times (9.8)}{4\pi^2} \approx 5 \: \rm meters[/tex]

Thus, the length of the rope swing for the considered case is found being of 5 meters approximately

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The order of choosing doesn't matter, so it's a combination.

[tex]_{60}C_5=\dfrac{60!}{5!55!}=\dfrac{56\cdot57\cdot58\cdot59\cdot60}{120}=5,461,512[/tex]

Answer:

6e^2f (3f^2-2e)

Step-by-step explanation:

18 e^2 f^3 - 12 e^3 f

18 e^2 f^3 = 2*3*3 ee fff

12 e^3 f = 2*2*3 eee f

The common terms are 2 *3*eef

Factor that out

2*3*eef (3ff - 2e)

Combine like terms

6e^2f (3f^2-2e)

Answer: [tex]y=-3(x+1)^2+4[/tex]

Step-by-step explanation:

The vertex form of the equation of  a parabola is:

 [tex]f(x) = a(x - h)^2 + k[/tex]

Where (h, k) is the vertex of the parabola.

To write [tex]y=-3x^2 - 6x +1[/tex] in vertex form, you need to complete the square:

1. Move the 1 to the other side of the equation:

[tex]y-1=-3x^2 - 6x[/tex]

2. Since the leading coefficient must be 1, you need to factor out -3:

[tex]y-1=-3(x^2 + 2x)[/tex]

3. Divide the coefficient of the x-term inside the parentheses by 2 and square it:

  [tex](\frac{2}{2})^2=1[/tex]

4. Now add 1 inside the parethenses and -3(1) to the other side of the equation (because you factored out -3):

[tex]y-1-3(1)=-3(x^2 + 2x+1)[/tex]

[tex]y-4=-3(x^2 + 2x+1)[/tex]

5. Convert the right side of the equation to a squared expression:

 [tex]y-4=-3(x+1)^2[/tex]

6. And finally, you must solve for "y":

[tex]y=-3(x+1)^2+4[/tex]

Answer:

y = [tex]\frac{3}{2}[/tex] x - 4

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 )

Rearrange 3x - 2y = - 6 into this form

Subtract 3x from both sides

- 2y = - 3x - 6 ( divide all terms by - 2 )

y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form

with slope m = [tex]\frac{3}{2}[/tex]

• Parallel lines have equal slopes, hence

y = [tex]\frac{3}{2}[/tex] x + c ← partial equation of parallel line

To find c substitute (4, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = [tex]\frac{3}{2}[/tex] x - 4 ← equation of parallel line

The answer is 33R1.

Hope this helps :)

Answer:

33 with a remainder of 1

Step-by-step explanation: