If in August Bruiser weighed 84 pounds, how
could he get back to that weight in October?

Mrs. Downey is responsible for paying at most $50 of the unauthorized charge for the $1,124 watch.

We have,

The Truth-in-Lending Act is a federal law in the United States that provides certain protections to consumers in credit transactions.

One of the provisions of this act is the limitation of liability for unauthorized charges on a stolen credit card.

According to the Truth-in-Lending Act,

If a credit card is stolen and unauthorized charges are made on it, the cardholder's liability for those charges is limited to a maximum of $50.

This means that even if the thief charged a significant amount, such as $1,124 for a watch, the cardholder is only responsible for paying up to $50 of that unauthorized charge.

So,

The maximum liability for unauthorized charges on a stolen credit card is $50.

Therefore,

Mrs. Downey is responsible for paying at most $50 of the unauthorized charge for the $1,124 watch.

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Answer: 7= 1(5)+b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y = mx + b

Given that the coordinate is (5, -7), you know that x = 5 and y = -7

Variable m represents the slope, so m = -1

Now simply plug in all the numbers:

y = mx + b

-7 = (-1)(5) + b

I hope that answer is AHS=JHL, AHJ=SHL

Answer:

A vector graphic consists of a set of instructions for creating a picture is a true statement.

Step-by-step explanation:

A vector graphic is an image format that represents images as a set of mathematical instructions or geometric primitives such as lines, curves, and shapes. Instead of using a grid of pixels like raster graphics, vector graphics define images based on mathematical formulas and coordinates.

These instructions or mathematical representations describe the shapes, colors, and other visual attributes of the image. They allow the image to be scaled, resized, and manipulated without loss of quality since the instructions can be recalculated and redrawn at any resolution or size.

Vector graphics are often created and edited using specialized software such as Adobe Illustrator, CorelDRAW, or Inkscape. They are commonly used for logos, illustrations, diagrams, typography, and other graphical elements where scalability and flexibility are important.

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To calculate percentage decrease, we will use the formula;

decrease = original number - new number

= 166 - 12 =154

=92.8%

Given two similar triangles

The corresponding sides are proportions

So,

\(\dfrac{x}{y} =\dfrac{20}{90} =\dfrac{2}{9}\)

So, the relation between x and y will be:

\(x=\dfrac{2}{9} y\)

The area of the smaller triangle = 45 cm²

So, area =

\(\dfrac{1}{2} x\times y=45\)

Substitute with x into the equation of the area to find the value of y

         \(\dfrac{1}{2} \times\dfrac{2}{9} y\times y=45\)

\(y^2=\dfrac{45\times1\times9}{2} =\dfrac{405}{2}=202.5\)

                \(y=\sqrt{202.5}\)

Substitute with y into x

\(x=\dfrac{2}{9} \times\sqrt{202.5} =\frac{2\sqrt{202.5} }{9}\)

So, the answer will be:

\(x=\frac{2\sqrt{202.5} }{9}\)

\(y=\sqrt{202.5}\)

The relationship between the determinant of a square matrix and the determinant of the matrix multiplied by a scalar is,  the determinant of the matrix multiplied by a scalar is \(k^{n}\) times the determinant of a square matrix, det(kA) = \(k^{n} D\)

Let A be a square matrix,

And the det(A) = D, equation (1)

If we multiply the square matrix with a scalar k, then the matrix becomes, kA, and its determinant is given as,

det(kA) = \(k^{n} D\) , equation (2)

where k is the scalar,

n is the order of the square matrix and

Dis the determinant of the square matrix A.

Thus, the relationship between the determinant of a square matrix and the determinant of the matrix multiplied by a scalar is,  the determinant of the matrix multiplied by a scalar is \(k^{n}\) times the determinant of a square matrix.

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Based on the equations:

A has no solution that satisfies the equation.

B cannot be determined without an equal sign.

C is equal to -1068.

D is equal to -88,000.

A: 3=(-30) (-9)

To solve for the variable, we need to simplify the right-hand side of the equation:

-30 multiplied by -9 is 270.

So we have:
3 = 270

This is not a true statement, which means there is no value for the variable that makes this equation work.

B: =45 (-89)12=

There appears to be a missing variable in this equation. Let's call it "x":
x - 45 = (-89)12

To solve for x, we first need to simplify the right-hand side:
(-89)12 is -1068.

So we have:
x - 45 = -1068

To solve for x, we'll add 45 to both sides:
x = -1068 + 45
x = -1023

C: (-89)12=c

Similar to the previous equation, we need to simplify the right-hand side first:

(-89)12 is -1068.
So we have:
c = -1068

D: 88=(-88,​000)

There is no variable in this equation, only a number on either side of the equals sign. The equation is already solved, and the solution is not a variable but a number: -88,000.

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Answer:

The sales tax percentage is 4%

Step-by-step explanation:

4% of $41 is $1.64

$41+$1.64=$42.64

I hope this helps! Keep learning!

x=0

Rewrite the question -2x+1=u and x= -u-1/2

Simplify

Rewrite 1=e^(u-1)u in Lambert Form e^(u)u

Solve u=1

Substitute back u= -2x+1, solve for x

x=0

Answer:

d= 75*t

Step-by-step explanation:

Given data

We are given that the total distance = 270 miles

And that they have already traveled 42 miles

speed= 75mi/h

The remaining distance of the journey is = 270-42

= 228 miles

We know that

speed= distance/time

distance= speed*time

also

d= 75*t

Hence, we can estimate the distance they have traveled for any number of time t

The values of the angles are given below

a° = 137° , b° = 52° , c° = 59° , d° = 113° , e° = 121°

First, we will start from the triangle having a° angle,

As, we know the Angle Sum property of a triangle i.e.

The sum of all the angles of a triangle is 180°.

Now, one angle is a° and other two angles are the linear pairs of 119° and 128°.

On applying Angle Sum property, we get

a° + (180°-128°) + (180°-119°) = 180°

a° + 180° - 317° = 0

a° = 317° - 180°

a° = 137°

Now, taking the triangle that have b° as an angle,

As, b° is the linear pair of 128°

So, b° = 180° - 128°

b° = 52°

also, the angles in the triangle other than b° are

61° & (180° - d°) as the third angle is the linear pair of d°

On applying Angle Sum property, we get

52° + 61° + (180° - d°) = 180°

113° = d°

Now, applying Angle Sum property in the triangle having 57°,

57° + (180° - d°) + x° = 180°

57° + 67° + x° = 180°

x° = 180° - 124°

x° = 56°

Now, applying Angle Sum property in the triangle having c°

56° + c° + (180° - 115°) = 180°

c° = 59°

Now, applying Angle Sum property in the triangle having 56°

(180° - 115°) + 56° + (180° - e°) = 180°

180° - 115° + 56° = e°

65° + 56° = e°

e° = 121°

Hence, the values of the angles are

a° = 137° , b° = 52° , c° = 59° , d° = 113° , e° = 121°

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The fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

Ryan grew \($\frac{1}{2}$\) feet in a year.

1. To express the fraction \($\frac{9}{12}$\) as a sum of smaller fractions, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of \(9\) and \(12\) is \(3\).

So, we can rewrite \($\frac{9}{12}$\) as:

\($\frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$\)

Therefore, the fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

2. To find how much Ryan grew in a year, we need to calculate the difference between his height this year and his height last year.

Let's convert the mixed fractions to improper fractions for easier computation:

Last year's height: \($4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4}feet\)

This year's height: \($5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} feet\)

To determine the growth, we subtract last year's height from this year's height:

\($\frac{21}{4} - \frac{19}{4} = \frac{21 - 19}{4} = \frac{2}{4} = \frac{1}{2}feet\)

Therefore, Ryan grew \($\frac{1}{2}$\) feet in a year.

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Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

The largest integer less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13. is 1440

Given, a number less than 2010 that has a remainder of 5 when divided by 7, a remainder of 10 when divided by 11, and a remainder of 10 when divided by 13.

On using the Chinese remainder theorem. As, the numbers 7, 11, 13 are pairwise coprime.

Firstly, an integer  m  such that  m−5  is divisible by 7 and  m−10  is divisible by 11 .

The Chinese remainder theorem says that all integers that work will be of the form  54+7⋅11⋅k=54+77k  for any integer  k .

Next an integer  n  such that  n−10  is divisible by 13 and  n−54  is divisible by 77.

Then, by the Chinese remainder theorem, all the integers that also work are of the form  439+13⋅77⋅k=439+1001k .

Hence, the positive integers satisfying the condition are: 439, 439 + 1001 = 1440, 1440 + 1001 = 2441, and so on.

The largest integer less than 2010 is 1440.

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Answer:

The missing number is 11.

Step-by-step explanation:

3+2=5; 5+4=9; The pattern is +2, +4.

3 + 2 = 5 ⇒ 5 + 4 = 9 ⇒ 9 + 2 = 11 ⇒ 11 + 4 = 15

One possible equation for the function shown in the table is:

y = 10 * (0.5)^x

This equation represents an exponential function with a base of 0.5 (i.e. each value is half of the previous value) and an initial value of 10 (i.e. y = 10 when x = 0).

To verify this equation, we can plug in the x-values from the table and see if we get the corresponding y-values:

- When x = 0: y = 10 * (0.5)^0 = 10 * 1 = 10 (matches the table)

- When x = 1: y = 10 * (0.5)^1 = 10 * 0.5 = 5 (matches the table)

- When x = 2: y = 10 * (0.5)^2 = 10 * 0.25 = 2.5 (matches the table)

- When x = 3: y = 10 * (0.5)^3 = 10 * 0.125 = 1.25 (matches the table)

- When x = 4: y = 10 * (0.5)^4 = 10 * 0.0625 = 0.625 (matches the table)

Therefore, the equation y = 10 * (0.5)^x represents the function shown in the table.

Hope this helps if can

Answer:

x=4.5

Step-by-step explanation:

MAB=MBC

AB=BC

3x+2=5x-7

7+2=5x-3x

9=2x

x=9/2

x=4.5

hope it helps..

have a great day!!

Answer:

x = 4.5

Step-by-step explanation:

here's your solution

=> AB = BC. ( both arc are equal )

=> 3x + 2 = 5x - 7

=> 3x - 5x = - 7 - 2

=> - 2x = - 9

=> x = 9/2

=> x = 4.5

hope it helps

Answer: infinite solutions

Explanation:

-1+5p ≥-1+5p

5p ≥5p

P ≥p

0 ≥p-p

0 ≥0 (therefore it is an infinite solution)

If the product's IR spectrum shows the presence of functional groups from both reactants, it can confirm that the structure of the product is a combination of the two reactants.

The IR spectrum can provide some information about the functional groups present in a compound, but it may not be able to confirm definitively that the structure of the product is a combination of the two reactants. It is possible that the product may have undergone some rearrangement or additional reactions during the reaction process that could alter the final structure. Other analytical techniques, such as NMR spectroscopy or mass spectrometry, may be needed to confirm the structure of the product. Therefore, it is important to use multiple analytical techniques in conjunction to fully understand the chemical nature of a compound.
Hi! The IR (Infrared) spectrum can indeed help you confirm that the structure of the product is a combination of the two reactants. In an IR spectrum, specific absorption bands represent functional groups present in the compound. By analysing these bands, you can identify the functional groups in both reactants and the product. If the product's IR spectrum shows the presence of functional groups from both reactants, it can confirm that the structure of the product is a combination of the two reactants.

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£36

20+25=45          Take away 13 and it's 32.   32+4 (the shipping charge) is 36. So Ruth pays 36 pounds.

Answer:

let

hypotenuse[h]=60ft

base[b]=36ft

perpendicular [p]=48ft

by using Pythagoras law

p²+b²=h²

48²+36²=60²

2896≠3600

since p²+b²≠ h²[so the stage is not in a right angled triangle]but it is scalene triangle

Answer:

m<ACB=1/2 of m<AOB

so m<ACB=45⁰÷2

m<ACB=22.5⁰

I HOPE IT HELPS HAVE NICE DAY!

Answer:

m<ACB=22.5° [as inscribed angle is half to the central angle]

The probability of

Given that the outcomes are obtained when the spinner was spinned twice,

AA

AB

AC

AD

BA

BB

BC

BD

CA

CB

CC

CD

DA

DB

DC

DD

The total number of outcomes, when the spinner was spinned twice is = 16

Probability: Number of favorable outcome / Total number of outcomes.

To findout, the probability of spinner landing on at least one A =  \(\frac{7}{16}\)

[From the 16 outcomes, 7 outcomes are having at least one A]

Similarly, the probability of spinner landing on C and D in any order =    \(\frac{2}{16} = \frac{1}{8}\)

[From the 16 outcomes, only 2 outcomes are having C and D which are CD and DC ]

Similarly, the probability of spinner landing on two Bs  = \(\frac{1}{16}\)

[From the 16 outcomes, only one time two Bs are occurred ]

Similarly, the probability of spinner landing on C on the second spin = \(\frac{4}{16} = \frac{1}{4}\)

[From the 16 outcomes, we have 4 outcomes where C occurred on second spin which are AC, BC, CC, and DC ]

Hence, from the above analysis, we solved the probability of occurring of 4 events.

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The given question has some errors, the picture having complete details to the question was attaching below,

The area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (3, 27), and the x-axis is 81/4 square units.

To find the area of the region bounded by the parabola y = 3x^2, the tangent line to this parabola at (3, 27), and the x-axis, we can follow these steps:
1. Find the x-coordinate where the tangent line intersects the parabola:
  - The equation of the tangent line can be found using the point-slope form, which is y - y1 = m(x - x1), where (x1, y1) is the point on the tangent line and m is the slope.
  - We know that the point (3, 27) is on the tangent line, so we can substitute these values into the equation: y - 27 = m(x - 3).
  - The slope of the tangent line is equal to the derivative of the parabola at the point (3, 27). So, let's differentiate the equation y = \(3x^2\) to find the slope: dy/dx = 6x.
  - Substituting x = 3 into the derivative, we get the slope of the tangent line at (3, 27): m = 6(3) = 18.
  - Now we can substitute the point (3, 27) and the slope 18 into the equation of the tangent line: y - 27 = 18(x - 3).
  - Simplifying the equation gives us the equation of the tangent line: y = 18x - 27.
2. Find the x-coordinates of the points of intersection between the parabola and the tangent line:
  - Set the equation of the parabola y = \(3x^2\) equal to the equation of the tangent line 18x - 27:
  \(3x^2\) = 18x - 27.
  - Rearranging the equation gives us: \(3x^2 - 18x + 27 = 0\).
  - Factoring out a 3 from each term, we get: \(3(x^2 - 6x + 9) = 0\).
  - Simplifying further, we have: 3(x - 3)(x - 3) = 0.
  - From this, we can see that the parabola and the tangent line intersect at x = 3.
3. Find the y-coordinate of the point of intersection between the parabola and the tangent line:
  - Substitute x = 3 into the equation of the parabola: y = \(3(3)^2 = 27\).
  - So, the point of intersection between the parabola and the tangent line is (3, 27).
4. Find the area between the parabola and the x-axis within the interval [0, 3]:
  - To find the area, we need to integrate the function \(y = 3x^2\) from x = 0 to x = 3.
  - The area can be calculated using the definite integral: ∫[0,3] \(3x^2 dx.\)
  - Integrating \(3x^2\) with respect to x gives us \(x^3\), so the area is ∫[0,3] \(x^3 dx.\)
  - Evaluating the integral using the limits of integration, we have: \([x^4/4]\) from 0 to 3.
  - Plugging in the values, we get: \((3^4/4) - (0^4/4) = 81/4.\)

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Answer:

A. area of larger rectangle: 18x^2

area of smaller rectangle: 8x^2

B. area of shaded region: 10x^2

Step-by-step explanation:

Larger rectangle: A = lw = (6x)(3x) = 18x^2

Smaller rectangle: A = lw = (4x)(2x) = 8x^2

The shaded region = larger rectangle - smaller rectangle

=> 18x^2 - 8x^2 = 10x^2

Step-by-step explanation:

the order in which you asked the question is correct

Answer: 4.01, 4.1, 40.1, 41

Stratified sampling is the sampling method in which the size of the sample portions is determined by the researcher's belief about the relative size of each class of respondent in the population.

Stratified sampling is a method used in research to obtain a representative sample from a population by dividing it into subgroups or strata based on specific characteristics. The sample size for each stratum is determined by the researcher's belief about the relative size of each class of respondents in the population.

This approach ensures that the sample accurately represents the diversity within the population, as it accounts for variations across different groups.

This sampling method is particularly useful when there are known differences or variations within the population that could impact the research results. For example, if a study aims to understand consumer preferences for a product across different age groups, it may be important to obtain a representative sample from each age group. Stratified sampling allows the researcher to ensure that each subgroup is adequately represented, thus enabling meaningful analysis within and between the strata.

Stratified sampling offers several advantages. It enhances the precision of estimates by minimizing the sampling error and increasing the likelihood of obtaining representative samples. Additionally, it allows for subgroup-specific analysis, enabling researchers to draw conclusions at both the population and subgroup levels. By incorporating prior knowledge and beliefs about the relative size of each class, stratified sampling provides a systematic approach to sample selection that improves the overall quality and validity of research findings.

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