Please help me I am stuck

The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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The correct expanded form using Laws of exponents is:

Two-thirds times two-thirds times two-thirds times two-thirds

Some of the laws of exponents are:

1) When multiplying like bases, keep the base the same and add the exponents.

2) When raising a base with a power to another power, keep the base the same and multiply the exponents.

3) When dividing like bases, keep the base the same and subtract the denominator exponent from the numerator exponent.

Now, we want to solve the expression given as: (²/₃)⁴

When we expend this, we arrive at:

²/₃ × ²/₃ × ²/₃ × ²/₃

This among the options is Option A which is:

Two-thirds times two-thirds times two-thirds times two-thirds

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A two variable linear equation means an equation having two variables. It is usually represented as ax+by =c. We can solve a two variable linear equation in many ways.

If the linear equation is only given, to solve it we have to calculate the x-intercept and y-intercept. It is one way of solving a two variable linear equation. Lets look into an example.

 2x+5y = 19

The x intercept is when y=0,

then, 2x+ (5×0) = 20

          2x = 20, x=10

y intercept is when x=0, then

2×0 + 5y = 20

   5y = 20,  y= 20/5 =4

So, by solving the equation, we get x=10 at x intercept and y=4 at y intercept.

If one the values are given , we can substitute it in the equation to calculate the other variable.

In the equation, 2x+3y= 12, if y=2, we can calculate by substituting.

    2x + (3×2) = 12

     2x = 12-6

     2x = 6

      x =3

So when y=2 then x=3.

Constraints are the restrictions on the domain of a linear equation, like a number of days or students should be a positive integer.

So, we can solve a two variable linear equation through different ways.

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Answer:

x=9

Step-by-step explanation:

Answer:

Commutative Property

Step-by-step explanation:

Answer: work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In

Step-by-step explanation:

We know that

f(x) = kx

given that;

Natural length L = 5

x = 8.4 - 5 = 3.4

force F = 4.0 lb

f(x) = kx

we substitute

4 = k × 3.4

k = 4 / 3.4

k = 1.1764 = 20/17

Now work done from natural length to 12.8

x = 12.8 - 5 = 7.8

work done = ₀∫^7.8  f(x) dx

= ₀∫^7.8  kx dx

we substitute value of k

= ₀∫^7.8  (20/17)x dx

= 20/17 [ x²/2 ]

= 20/17 [ (7.8)²/2 - 0 ]

= 1.1764 × 30.42

= 35.786 ≈ 36 lb.In

Therefore work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In

Answer:

Algebra and geometry...

Two lines are perpendicular if the product of their slopes is −1 or one has a slope of 0 (a horizontal line) and the other has an undefined slope (a vertical line)....

Step-by-step explanation:

hope the answer was helpful ......

Whats the number thats above 4?

Answer:

B on edug

(-infinty , 0) U (0 , infinty )

The measure of the indicated arc angle is 134 degrees.

The angle subtended by the arc at the centre of the circle is the angle of the arc.

Therefore, the central angle of an arc is the angle at the centre of the circle between the two radii subtended by the arc.

Hence, the central angle is also known as the arc's angular distance.

Therefore, the measure of an arc is the measure of its central angle.

Hence, the measure of the indicated arc is 134 degrees.

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The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer:

B

D

D

Step-by-step explanation:

please verify and rate 5 stars and say thank you

Answer:

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

Step-by-step explanation:

A nth order polynomial f(x) has roots \(x_{1}, x_{2}, ..., x_{n}\) such that \(f(x) = (x - x_{1})*(x - x_{2})*...*(x - x_{n}}\),

Which of the following is a polynomial with roots: − square root of 3 , square root of 3, and −2?

So

\(x_{1} = x_{2} = \sqrt{3}\)

\(x_{3} = -2\)

Then

\((x - \sqrt{3})^{2}*(x - (-2)) = (x - \sqrt{3})^{2}*(x + 2) = (x^{2} -2x\sqrt{3} + 3)*(x + 2) = x^{3} + 2x^{2} - 2x^{2}\sqrt{3} - 4x\sqrt{3} + 3x + 6\)

Since \(\sqrt{3} = 1.73\)

\(x^{3} + 2x^{2} - 3.46x^{2} - 6.93x + 3x + 6 = x^{3} - 1.46x^{2} - 3.93x + 6\)

The polynomial is \(x^{3} - 1.46x^{2} - 3.93x + 6\)

After solving the expression, the value is negative 7 over 24 times k plus negative 6. Therefore, option C is correct.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given statement for the expression,

-(5/8)k - 8 + 2 + (1/3)k

Take LCM as 24 and solve the equation,

(-7k - 144) / 24

= (-7/24)k - 6

Therefore, this concludes that option C is correct.

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a. The amount of almonds that Zara ate last week is equal to 50.

b. The percent written as a part-to-whole ratio is 150:100.

c. 150 divided by 2 is equal to 75.

Given the following data:

a. To determine the amount of almonds that Zara ate last week:

\(\frac{150}{100} \times L = 75\\\\1.5L =75\\\\L=\frac{75}{1.5}\)

L = 50 almonds

b. The percent written as a part-to-whole ratio is:

Part-to-whole ratio = 150:100

c. 150 divided by ___ is equal to 75:

\(\frac{150}{y} =75\\\\150=75y\\\\y=\frac{150}{75}\)

y = 2

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Answer:

the first one is 150

second one is 2

third one is 2

fourth is 50

fifth one is 50

Step-by-step explanation:

hope this helps!! i took assignment

Answer:

The circumference is 24.69 in.

The area is 48.52 in.

Step-by-step explanation:

So, Cf=2π(3.93)=24.69in

So, A=π(3.93)^2=48.52in

The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2

From the question, we have the following parameters that can be used in our computation:

The 5 functions of g(x)

To determine the key features of the function g(x), we make use of the first

g(x) = (x + 2)(x − 1)(x − 2)

So, we have

Zeros

This is when the function equals 0

(x + 2)(x − 1)(x − 2) = 0

Evaluate

x = -2, 1 and 2

The y-intercept

This is when the value of x in the function equals 0

g(0) = (0 + 2)(0 − 1)(0 − 2)

Evaluate

g(0) = 4

End behaviour

This is the behavior of the graph of the function as it approaches the ends of the x-axis

So, we have

\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)

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Answer:

D

Step-by-step explanation:

hdhdbfjjenxbdjejdjd

9514 1404 393

Answer:

  (B)  y = x - 8

Step-by-step explanation:

The slope is found by looking at the change in y divided by the change in x.

The line goes through grid intersections that differ both horizontally and vertically by 1 unit, so ...

  m = rise/run = 1/1 = 1

The y-intercept is where the line crosses the y-axis, at y = -8. The slope-intercept equation is then ...

  y = mx + b . . . . m = slope (1); b = y-intercept (-8)

  y = x - 8 . . . . matches choice B

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:

A._____________________

The value of x is -0.22.

The power to which a number must be increased in order to obtain another number is known as a logarithm.

How many times must one "base" number be multiplied by itself in order to generate another specific number? The answer is found using a logarithm (or log).

Given:

\(e^x\) = 0.6

Now, taking log on both side

x log e= log 0.6

x= -0.22184874961

Hence, the value of x is -0.22.

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It only seeks a single value and does not involve collecting data to draw general conclusions.

"Which employee worked the most hours in the previous month?" is not a statistical question because it only seeks a single value and does not involve collecting data to draw general conclusions.

On the other hand, "What is the average number of hours worked by employees in the previous month?" is a statistical question because it involves collecting data on all employees and using it to draw general conclusions about the entire workforce.

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Answer:

$248.75

Step-by-step explanation:

25% more of 199 is 248.75

An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Answer:

the first answer is 40 then i think the last one is 40,000

Step-by-step explanation:

Answer:

10.56 quarts

Step-by-step explanation:

10.5669 quarts

10.56 quarts

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

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Answer:

A

Step-by-step explanation:

the domain is the x value

range y value

9514 1404 393

Answer:

  $20,020

Step-by-step explanation:

The future value formula is helpful.

  FV = P(1 +r)^t

  $80,000 = P(1.08^18) = 3.9960195P

  P = $80,000/3.9960195 = $20,019.92

They should invest about $20,020 now.

Answer:

2/5

Step-by-step explanation:

4 raspberry / 10 total

4/10

2/5