Jane paid $40 for an item after she received a 20% discount. Jane's friend says that this means that the original price was $48. A) How do you think Jane's friend arrived at this amount? B) Is her friend correct? Why or why not?

Answer:

After 8.82 days the amount of substance is less than 115 milligrams

Step-by-step explanation:

If x (t) represents the amount of substance in the sample after t days. So

[tex]x(t) = P_{t-1}- 0.08P_{t-1}[/tex] with [tex]t \geq 1[/tex]

Where Pt is the amount of substance in the sample on day t.

[tex]x (1) = 240 -0.08(240)\\ x (2) = 240 -0.08(240) - 0.8 [240 -0.08(240)][/tex]

Then x (t) can be written as:

[tex]x (t) = 240(1-0.08) ^ t[/tex]

After t days there are less than 115 milligrams of the substance, then:

x (t) <115

[tex]240(1-0.08) ^ t <115[/tex]  This is the inequality that the situation represents.

Now we clear t.

[tex](0.92) ^ t <0.4792\\ t * ln (0.92) <ln (0.4792)\\\\ t>\frac{ln (0.4792)}{ln (0.92)}\\\\ t> 8,823[/tex]

After 8.82 days the amount of substance is less than 115 milligrams

Hey there! :)

16 oz = 1 lb

So, 6 * 16 = 96  ( 6 pounds = 96 ounces)

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

Half a pound = 8 ounces ( 8 + 8 = 16)

Add:

96 + 8 = 104

Therefore, your answer is Option A. 104.

There are 104 ounces in 6 1/2 lbs.

I hope this helps! Feel free to ask any questions or comment if you need me to further explain the steps.

The number with 4 in the tens place and 3 in the ones place can be alternatively written as 40+3. This is because 4 in the tens place actually equates to 40.

So, out of the options 3+4, 40+3, and 30+4 given, 40+3 is the correct representation of the number.

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uh......huh?? I will look this thingie up for you, I have no clue, but I will. Have a PHENOMANAL night!

Answer:

ninety-nine quinsexagintillion nine hundred ninety-nine quattuorsexagintillion nine hundred ninety-nine tresexagintillion nine hundred ninety-nine duosexagintillion nine hundred ninety-nine unsexagintillion nine hundred ninety-nine sexagintillion nine hundred ninety-nine novemquinquagintillion nine hundred ninety-nine octoquinquagintillion nine hundred ninety-nine septenquinquagintillion nine hundred ninety-nine sexquinquagintillion nine hundred ninety-nine quinquinquagintillion nine hundred ninety-nine quattuorquinquagintillion nine hundred ninety-nine trequinquagintillion nine hundred ninety-nine duoquinquagintillion nine hundred ninety-nine unquinquagintillion nine hundred ninety-nine quinquagintillion nine hundred ninety-nine novemquadragintillion nine hundred ninety-nine octoquadragintillion nine hundred ninety-nine septenquadragintillion nine hundred ninety-nine sexquadragintillion nine hundred ninety-nine quinquadragintillion nine hundred ninety-nine quattuorquadragintillion nine hundred ninety-nine trequadragintillion nine hundred ninety-nine duoquadragintillion nine hundred ninety-nine unquadragintillion nine hundred ninety-nine quadragintillion nine hundred ninety-nine novemtrigintillion nine hundred ninety-nine octotrigintillion nine hundred ninety-nine septentrigintillion nine hundred ninety-nine sextrigintillion nine hundred ninety-nine quintrigintillion nine hundred ninety-nine quattuortrigintillion nine hundred ninety-nine trestrigintillion nine hundred ninety-nine duotrigintillion nine hundred ninety-nine untrigintillion nine hundred ninety-nine trigintillion nine hundred ninety-nine novemvigintillion nine hundred ninety-nine octovigintillion nine hundred ninety-nine septenvigintillion nine hundred ninety-nine sexvigintillion nine hundred ninety-nine quinvigintillion nine hundred ninety-nine quattuorvigintillion nine hundred ninety-nine trevigintillion nine hundred ninety-nine duovigintillion nine hundred ninety-nine unvigintillion nine hundred ninety-nine vigintillion nine hundred ninety-nine novemdecillion nine hundred ninety-nine octodecillion nine hundred ninety-nine septendecillion nine hundred ninety-nine sexdecillion nine hundred ninety-nine quindecillion nine hundred ninety-nine quattuordecillion nine hundred ninety-nine tredecillion nine hundred ninety-nine duodecillion nine hundred ninety-nine undecillion nine hundred ninety-nine decillion nine hundred ninety-nine nonillion nine hundred ninety-nine octillion nine hundred ninety-nine septillion nine hundred ninety-nine sextillion nine hundred ninety-nine quintillion nine hundred ninety-nine quadrillion nine hundred ninety-nine trillion nine hundred ninety-nine billion nine hundred ninety-nine million nine hundred ninety-nine thousand nine hundred ninety-nine

The first answer is ''Linear pair postulate''

The second answer is ''Definition of suplementary''

The third answer is  ''m∡ACB+45=180''

The fourth answer is ''Subtraction Property of Equality''

The fifth answer is ''∡ACB is obtuse''

The sixth answer is ''Definition of obtuse triangle''

Good luck!!!

Answer:

2/21

Step-by-step explanation:

17/21 -(3/7 + 2/7)

First you add

=17/21 - (5/7)

Then you want to subtract

=2/21

Answer:

The answer is 2/21

Step-by-step explanation:

Step 1: simplify 2/7

Step 2: simplify 3/7

Step 3: Adding fractions which have a common denominator

So it would be - 3+2/7 = 5/7

So the new equation would be 17/21 - 5/7

Step 4: simplify 17/21

Step 5: Calculating the LCM (Least Common Multiple)

The LCM is 21

17-(5 × 3)/21 = 2/21

x^2 -12x +11

We have the x intercepts so we can create the equation (x-1)(x-11).  Multiply it and you get your answer

Answer:

f(t)=t²-12t+11

Step-by-step explanation:

1) Having an attentive reading, we can see from the picture two coordinate points (1,0) and (11,0).

These points, has coordinates for x and y. Since those y-coordinates are zero, we have x-intercepts. Or the zeros of a function, in a quadratic function. Those intercepts minus x values equals zero. These x-intercepts we'll rename it as t, for time.

2) Plugging it in and writing it as groups:

f(t) = returns in feet

t= for time

f(t) =(t-1)(t-11)

Distributing the factors multiplying (t-1) times (t-11), goes:

f(t) =t²-12t+11

Answer:

The given equation has infinite number of solutions. This means that any real number can be considered a solution to the given equation.

Since the given replacement set {2,3,4,5} consists of real numbers, therefore, the whole set is considered as a solution to the given equation.

This is because, when solving the given equation for x, we will end up with 0 = 0, this means that whatever the value of x is, both sides of the equation will always be equal.

Explanation:

To solve for x, we need to isolate the x on one side of the equation.

This can be done as follows:

3 + 2x = 2x + 3 (subtract 3 from both sides)

2x = 2x (subtract 2x from both sides)

0 = 0

This means that whatever, the value of x is, both sides of the equation will be equal. This means that all real numbers are considered a solution for this equation.

Let's verify this using the given replacement set {2,3,4,5}:

For x = 2:

Left hand side: 3 + 2(2) = 3 + 4 = 7

Right hand side: 2(2) + 3 = 4 + 3 = 7

Both sides are equal.

For x = 3:

Left hand side: 3 + 2(3) = 3 + 6 = 9

Right hand side: 2(3) + 3 = 6 + 3 = 9

Both sides are equal.

For x = 4:

Left hand side: 3 + 2(4) = 3 + 8 = 11

Right hand side: 2(4) + 3 = 8 + 3 = 11

Both sides are equal.

For x = 5:

Left hand side: 3 + 2(5) = 3 + 10 = 13

Right hand side: 2(5) + 3 = 10 + 3 = 13

Both sides are equal.

Hope this helps :)

It will take Tom 80 minutes to clean all 4 gardens. Or, 1 hour and 20 minutes.

Q4.

[tex]f(x)=\sqrt{x}+4\\\\D:\ x\geq0[/tex]

Answer: all real numbers greater than or equal to 0.

Q.

The range is read from the y axis. Therefore the range = (-∞ , 1]

Answer: {y | y ≤ 0}

Q.

The first part of the graph has a slope = 2, therefore it's y = 2x.

The second part of the graph is horizontal line y= 4.

Therefore your answer is:

[tex]f(x)=\left\{\begin{array}{ccc}2x&if&x < 0\\4&if&x\geq0\end{array}\right[/tex]

Really isn't a problem to show work on, considering that they've given you a graph.

The y-intercept is obviously -6, to find the slope I would just observe the rise over run. It goes up 4 and over 1 unit. So it should be 4/1 or just 4.

C. y=4x-6 is your answer.

So when you look at the graphs, the functions always get close to x=0 but never actually touch it

So there are no x-intercepts

And for y, you just see where the point is passing the y-axis. In this case, the y-intercept is (0,-4)

So your answer is  C :)

The intercepts for the given graph are:

x-intercept: none

y-intercept: (0, -4)

The correct option is the third one.

For a function y = f(x), we define the x-intercept as the value of x at which the function is zero, so:

f(x) = 0

And the y-intercept as the value that y takes when x = 0.

When we have a graph, we can just look at the points where the graph intercepts the correspondent axes.

In this particular case, we can see an asymptotic tendency to zero, so the function never intercepts the horizontal axis, there are no x-intercepts.

And we can see an y-intercept at y = -4

So the correct option is:

x-intercept: none

y-intercept: (0, -4)

Learn more about intercepts at:

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i think it is  because he needs to place 54 tiles and he needs 8 groups of 4 blue tiles therefore he has 32 blue tiles and 54-32= 22

The movie is called "Home Invasion".

Here's the plot of the movie:

Chloe Paige (Natasha Henstridge) and her stepson Jacob (Liam Dickinson) live in an isolated mansion in an island. Chloe's husband is traveling and she does not know his whereabouts. One stormy night, Chloe is drinking wine with her friend Alice (Johannah Newmarch) when a car arrives and Alice believes they are strangers needing information. When she leaves the house, she is murdered by a masked man. Chloe closes the front door and calls the police and the home security company. However the police can not cross the bridge that was damaged by the criminals. Meanwhile the trio of criminals breaks in Chloe's house. The security agent Mike (Jason Patric) uses the security cameras to advise Chloe where to hide. The trio is looking for a safe and for Chloe while she is hidden with Jacob. Will the police arrive in time to save Chloe and Jacob?

Name of the movie you are looking for is Home Invasion. Its a really movie movie too, l think.

Answer:

-1 and 3

Step-by-step explanation:

The equation can be solved using the quadratic formula, resulting in two possible solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4.

This equation can be solved using the quadratic formula. For an equation of the form ax² + bx + c = 0, we rearrange it to 2x² - 3x - 2 = x + 4.

Now, using the quadratic formula, we can solve for the values of x:

x = (-b ± √(b² - 4ac)) / (2a)

Substituting the values a = 2, b = -4, and c = -6 into the formula, we get:

x = (-(-3) ± √((-3)² - 4(2)(-2))) / (2(2))

After simplification, we have x = (-3 ± √(9 + 16)) / 4

Which gives us two solutions: x = (-3 + √25) / 4 and x = (-3 - √25) / 4

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Answer: 600

Step-by-step explanation:

   20    x    30

= 2 x 10 x   3 x 10

= 2 x 3   x  10 x 10

=    6      x     100

=         600

we are given

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

We will find degree and leading coefficient

Degree:

The highest degree term in polynomial is degree

so, degree =4

which is even

Leading coefficient:

It is constant term multiplied with highest degree term

so, leading coefficient =-2

which is negative

so,

option-B.......Answer

[tex]C^n_m=\left(\begin{array}{ccc}m\\n\end{array}\right)=\dfrac{m!}{n!(m-n)!}\\\\C^6_8=\left(\begin{array}{ccc}8\\6\end{array}\right)=\dfrac{8!}{6!(8-6)!}=\dfrac{6!\cdot7\cdot8}{6!\cdot2!}=\dfrac{7\cdot8}{1\cdot2}=\dfrac{56}{2}=28[/tex]

Answer:

28 because I have done this

Step-by-step explanation:

Bank Card is charging 1.7% monthly interest

You were charged $175 and want to find the interest you owe

1.) Convert 1.7% to a decimal, which is 0.017

2.) Multiply $175 (price of the charge) with 0.017 (percentage in decimal form) to find out how much you owe

$175 x 0.017 = $2.975

Round that up to $2.98

90% of doctors interviewed chose Brady's

30 doctors were interviewed

1.) Convert 90% to a decimal, which is 0.90

2.) Multiply 30 (doctors) with 0.90 (percentage in decimal form) to find out how many doctors preferred Brady's brand

30 x 0.90 = 27 doctors

27 doctors preferred Brady's Aspirin brand

[tex]\frac{96 (dollars)}{1 (day)} * \frac{3}{8} day = \frac{96(3)}{8} dollars[/tex] = 12(3) dollars

= $36

The answer is $1851.84.

Given data:

Gold Susan has = 42 g

Price of gold = $1286 per ounce

Price of gold Susan has = ?

Solution:

1 Ounce = 28.34 g

1 g = 1/28.34 ounce

41 g = 1/28.34 * 41

       = 1.44 Ounce.

Price of gold for 1 ounce      = $1286

Price of gold for 1.44 ounce = 1286 * 1.44 = $1851.84

5x^2 + 8x - 6(8x^2 + 3x + 1)

Distributive property.

40x^4 + 15x^3 + 5x^2 + 64x^3 + 24x^2 + 8x - 48x^2 - 18x - 6

Combine like terms.

40x^4 + 79x^3 - 19x^2 - 10x - 6

Use the distributive property and [tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex](5x^2+8x-6)(8x^2+3x+1)\\\\=(5x^2)(8x^2)+(5x^2)(3x)+(5x^2)(1)+(8x)(8x^2)+(8x)(3x)+(8x)(1)+(-6)(8x^2)+(-6)(3x)+(-6)(1)\\\\=40x^4+15x^3+5x^2+64x^3+24x^2+8x-48x^2-18x-6\\\\=40x^4+(15x^3+64x^3)+(5x^2+24x^2-48x^2)+(8x-18x)-6\\\\=40x^4+79x^3-19x^2-10x-6[/tex]

Answer:

The correct answer is A. 15.2 units

Step-by-step explanation:

The segment AB is congruent to the segment BC  eg AB≅BC Why?

We can prove it with the triangle congruent theorem, postulate side-side-angle

We are watching triangle ΔABO and triangle ΔCBO, they are congruent

first element side OB=OB - common side

second element side OA=OC=r - radius of the circle

third element angle ∡ABO≅∡CBO=90°

According to the postulate side-side-angle we can conclude that triangles

ΔABO≅ΔCBO (triangles are congruent)

If they are congruent all of their elements are also congruent and therefore also

side AB=BC  => AB+BC=AC,  which is chord  => 7.6+7.6=15.2 units

AC= 15.2 units ( chord )

Good luck!!!

Answer:

The correct answer is A. 15.2 units!

Step-by-step explanation:

Answer:

12/16 and 5/16

Step-by-step explanation:

To rewrite 3/4 and 5/16 with a least common denominator, factorize the denominators to find the LCD, which is 16. Multiply 3/4 by 4/4 to get 12/16. The fraction 5/16 remains unchanged.

The denominator 4 is 22, and 16 is 24. The LCD is the higher power of 2 present in these denominators, which is 24 or 16. You then find what to multiply each fraction's denominator to get the LCD. In the case of 3/4, multiply numerator and denominator by 4 to get 12/16. There is no need to change 5/16 because it's already expressed with the LCD as denominator.

So, the fractions with the same denominator are:

3/4 becomes 12/16

5/16 remains 5/16

These fractions can now be easily added or subtracted as they have a common denominator.

We have to prove that rectangles are parallelograms with congruent Diagonals.

Solution:

1. ∠R=∠E=∠C=∠T=90°

2. ER= CT, EC ║RT

3.  Diagonals E T and C R are drawn.

4. Shows Quadrilateral R E CT is a Rectangle.→→[Because if in a Quadrilateral One pair of Opposite sides are equal and parallel and each of the interior angle is right angle than it is a Rectangle.]

5.  Quadrilateral RECT is a Parallelogram.→→[If in a Quadrilateral one pair of opposite sides are equal and parallel then it is a Parallelogram]

6. In Δ ERT and Δ CTR

(a) ER= CT→→[Opposite sides of parallelogram]

(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]

(c) Side TR is Common.

So, Δ ERT ≅ Δ CTR→→[SAS]

Diagonal ET= Diagonal CR →→→[CPCTC]

In step 6, while proving Δ E RT ≅ Δ CTR, we have used

(b) ∠R + ∠T= 90° + 90°=180°→→→Because RECT is a rectangle, so ∠R=∠T=90°]

Here we have used ,Option (D) : Same-Side Interior Angles Theorem, which states that Sum of interior angles on same side of Transversal is supplementary.

Answer:

circulatory system

Step-by-step explanation: