Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb = 454 g How much does the parcel weigh to the nearest whole kilogram?

Prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.

The given monthly rate of 1.4% can be represented as 1.014 in decimal form (1 + 0.014).

To calculate the total increase over a year, we need to compound this monthly rate for 12 months since there are 12 months in a year. We can use the formula for compound interest to find the overall increase:[tex]\[A = P(1 + r)^n\][/tex]

Where:

[tex]\(A\)[/tex] = the final amount after [tex]\(n\)[/tex] periods (in this case, a year),

[tex]\(P\)[/tex] = the initial price (100% or 1 in decimal form, as it's the starting point),

[tex]\(r\)[/tex] = the monthly rate in decimal form (1.4% or 0.014), and

[tex]\(n\)[/tex] = the number of periods (12 months).

Plugging in the values:

[tex]\[A = 1 \times (1 + 0.014)^{12}\][/tex]

[tex]\[A = 1 \times 1.1771\][/tex]

[tex]\[A \approx 1.1771\][/tex]

The final amount [tex](\(A\))[/tex] represents the price increase over the year. To express this as a percentage, we subtract 1 from [tex]\(A\)[/tex] and then multiply by 100:

[tex]\[Price \, Increase \, Percentage = (A - 1) \times 100\][/tex]

[tex]\[Price \, Increase \, Percentage = (1.1771 - 1) \times 100\][/tex]

[tex]\[Price \, Increase \, Percentage \approx 18.17\%\][/tex]

Therefore, prices increase by approximately 18.17% in a year if they rise at a monthly rate of 1.4%.

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6. domain=age

range= number of pets

it is not a function because an x value repeats

7. domain=1,2,3,4,5

range= 50, 100, 150, 150, 200

it is a function because the lines don't connect

The "vertical line test" tells you the relation is not a function if any vertical line intersects the graph in 2 or more places.

15. not a function

The vertical line x=0 crosses the graph at y=-6 and at y=6.

16. a function

4.2 feet = 50.4 inches

divide the total height by the height of each sheet: 50.4/0.6 = 84

it's 84 sheets of plywood.

Answer:

Step-by-step explanation:

given that diameter of the pipe = 14 inches

radius = 7 inches

Length =2156 inches

Pipe is in the form of a cylinder

Volume of cylinder = pi r^2 h

where r = radius and h = l = 2156

We have to substitute the values of r and h.

Let us take pi as 22/7

= 22/7 (7)(7)(2156)

Cancel out 7 and multiply the remaining 22 ,7 and 2156

=332024 cubic inches

Hey there!

To solve this, we will first replace x with 5 anytime we see it in the equation.

f(5) = 2^5

Now, we simplify 2^5.

The base is 2 and the exponent is 5 in this case.

The exponent is the number of times you multiply the base by itself. In oour case:

2 x 2 x 2 x 2 x 2 = 32

f(5) = 32

Hope this helps!

38 divided by 100

what you could do is that 38 in decimal form will be 38.00

So,...

38.00 divided by 100

when you divided by 10 or 100 or 1,000 or etc.

all you have to do is move the decimal from 38.00 to the left 2 times

(because there are only 2 zeros in 100)

and your answer will be 0.38

38 divided by 100 = 0.38

hope that helps

To find H(6) for the function H(x) = 5(x - 6), substitute 6 for x, resulting in H(6) = 5(6 - 6) = 5(0) = 0.

The question asks for the evaluation of H(6) when H(x) = 5(x - 6). To find H(6), we simply substitute 6 in place of x in the function and calculate the result.

H(6) = 5(6 - 6)

Calculating the expression within the parentheses:

6 - 6 = 0

Now multiply by 5:

5 times 0 = 0

Therefore, H(6) = 0.

-24 if you score -6 each round

There will be twelve votes possible because 3*4=12

Slope m = y2-y1/x2-x1

Points (-1,3) and (2,-5)

M= -5-3/2-(-1)

M= -8/3

M= -8/3

Slope is -8/3

Now fill in the formula equation of a line using one if the points and slope to find b .

(2,-5) and slope -8/3

Y=mx+b

-5=-8/3(2)+b

-5=-16/3+b

-5+16/3=b

1/3=b

Now put all together

Y= -8/3x+1/3

Slope intercept form of a line is y = mx + b, where m is the slope and b is the y coordinate of the y intercept.

The easiest way to solve this problem is by using another equation for a line, also known as point slope form. This equation is best to use for a line if you have  a point and slope of the line, but do not have the y-intercept.

We need to find the slope of this line passing through the pair of points (-1, 3) and (2, -5). We can do this by using the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute in the appropriate coordinates.

[tex]\frac{-5-3}{2-(-1)}[/tex] = [tex]\frac{-8}{3}[/tex], so the slope of the line is -8/3.

Point slope form of a line is [tex]y-y_1=m(x-x_1)[/tex]. Substitute -8/3 for m, and use the point coordinate (-1, 3) for y1 and x1. You could use either point coordinate but I chose to use this one.

[tex]y-3= -8/3[x-(-1)][/tex]

Distribute -8/3 inside the parentheses.

[tex]y-3= -8/3x - 8/3[/tex]

Add 3 to both sides.

y = -8/3x + 1/3 is your answer (slope intercept form).

The correct answer is:

D. No, because [tex]\(-5^2\)[/tex] equals -25 and [tex]\((-5)^2\)[/tex] equals 25.

To evaluate the expression [tex]\( -5^2 \)[/tex] and [tex]\( (-5)^2 \)[/tex], we need to understand the order of operations.

According to the order of operations (PEMDAS/BODMAS), exponentiation takes precedence over negation.

So, [tex]\( -5^2 \)[/tex] means [tex]\( -(5^2) \)[/tex], which equals -25.

On the other hand, [tex]\( (-5)^2 \)[/tex] means [tex]\( (-5) \times (-5) \)[/tex], which equals 25.

Therefore, [tex]\( -5^2 \)[/tex] is not equal to [tex]\( (-5)^2 \)[/tex].

The correct answer is option D.

Answer:

c

Step-by-step explanation:

The correct values of a and b are a = 3.1 and b = 2.5, which corresponds to option A.

To solve the question, we need to set up an equation using the information given. Here's a step-by-step explanation:

you would multiply 2.6 x 8 and that equals 20.8

8 packages weigh 20.8 pounds.

Explanation: It's simple. 2.6 x 8 = 20.8

"w - 24" said verbally is:

w minus twenty-four

hope this helps

~Rise Above the Ordinary

I believe that the correct answer is The difference of w and 24

Hope this helps!!!

Answer:

A' (-3,-2)

Step-by-step explanation:

When rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. To rotate a figure 180 degrees, you apply the rule (x, y) → (-x, -y). Start by using a coordinate grid with coordinates for each vertex of the figure. The center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. Write down the original coordinates of the shape you are going to rotate. Then, apply the rule. For example, coordinate (3, 2) becomes (-3, -2). Another example would be, coordinate (-4, -2) becoming (4, 2).

(-3,-2) this is your answer

Answer:

154 LBS

Step-by-step explanation:

1 KG = 2.2 LBS

70 KG X 2.2 = 154

To convert kilograms to pounds, you divide the weight in kilograms by 0.4536. So, a person weighing 70 kg would weigh approximately 154.32 lbs.

The subject you're asking about is conversion from kilograms to pounds. A weight of 1 lb is equivalent on Earth to a mass of 0.4536 kg. So, to convert kilograms to pounds, you would divide the weight in kilograms by the equivalent mass of 1 pound in kilograms.

For example, a person weighing 70 kg would weigh approximately 154.32 pounds. This was calculated by dividing 70 kg by 0.4536 kg per pound (70/0.4536 = 154.32 pounds). It's important to note that while weight can vary slightly depending on location due to differences in gravitational pull, this conversion factor still provides a good estimation for most common situations.

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Answer:

6.8 Miles

Write at least 20 characters to explain it well.

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have

[tex]M(3,\ 7)\to x_M=3,\ y_M=7\\\\A(5,\ 1)\to x_A=3,\ y_A=7[/tex]

Substitute:

[tex]\dfrac{5+x_B}{2}=3\qquad|\cdot2\\\\5+x_B=6\qquad|-5\\\\x_B=1\\\\\dfrac{1+y_B}{2}=7\qquad|\cdot2\\\\1+y_B=14\qquad|-1\\\\y_B=13[/tex]

[tex]f(x)=3x\to y=3x\\\\\text{Interchange the y and the x}\\\\x=3y\\\\\text{Solve for y}\\\\3y=x\qquad|:3\\\\y=\dfrac{x}{3}\\\\Answer:\ C.\ f^{-1}(x)=\dfrac{x}{3}[/tex]

The required inverse function would be f⁻¹(x) = x / 3, which is the correct answer would be option (C).

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

f(x) = 3x

So after switching x and y,

Now, we solve for y regularly.

f(x) = x = 3y

Solve for y :

⇒ x = 3y

⇒ x / 3 = y

⇒ y = x / 3 = f⁻¹(x)

Therefore, the required inverse function would be f⁻¹(x) = x / 3.

Hence, the correct answer would be an option (C).

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Answer:

The solution is 0.022.

Step-by-step explanation:

Given that,

[tex]\dfrac{0.86}{5}-0.3\times0.5[/tex]

We need to solve the equation

Using PEMDAS rule

On dividing 0.86 by 5

[tex]0.172-0.3\times0.5[/tex]

On multiply 0.3 from 0.5

[tex]0.172-0.15[/tex]

On subtract 0.15 from 0.172

[tex]0.022[/tex]

Hence, The solution is 0.022.

[tex]1.07x=16.05[/tex]

[tex]16.05/1.07=15[/tex]

[tex]15=x[/tex]

The menu price for the meal is $15.

The maximum miles that she can travel 63 miles before she can walk.

Final answer:

By setting up an equation that accounts for the cab's base fare and the additional per mile charge, we can determine that Erica can afford to travel a maximum of 63 miles in the cab before exceeding her budget of $25.05.

Explanation:

To determine the maximum number of miles Erica can travel in a cab without exceeding her budget of $25.05, we can create an equation where the cost of the cab is equal to the base fare plus the per mile charge times the number of miles (mileage). We know the base fare is $3 and the per mile charge is $0.35. Let's denote the number of miles Erica can travel as 'm'.

The cost equation would be: Cost = Base Fare + (Per Mile Charge × Mileage)

This gives us: $25.05 = $3 + ($0.35 × m)

Subtracting the base fare from both sides gives us: $22.05 = $0.35 × m

Dividing by the per mile charge yields: m = $22.05 / $0.35

Calculating this, we get: m = 63 miles

Therefore, Erica can travel a maximum of 63 miles in the cab before she would need to walk the rest of the way to the museum to stay within her budget.

The model car will travel 60 meters in 45 seconds

The answer you are looking for is M = -18.

To find this answer, you first distribute 9 into the parenthesis (m + 4). Once you've distributed, you should be left with 9m + 36 = 7m. Next, you subtract 9m from both sides. This will give you 36 = -2m. Finally, divide both sides by 2. Thus giving you a final answer of M = -18.

I hope this helps!

Answer:

The answer you are looking for is M = -18.

Step-by-step explanation: