7. A paper clip weighs 0.5 grams and an empty envelope weighs 6.75 grams.
Han adds paper clips one at a time to an empty envelope. Complete the table
with the weight of the envelope w(n), in grams, after n paper clips have been
added.
2012 3
a.
w(n)
6.75

Answer:

1460

Step-by-step explanation:

Its just 1460 because 0 is below 5

Answer:

P = 20 ft

h = 2 ft

B = 10.56 ft²

Step-by-step explanation:

P = 8.8 + 8.8 + 1.2 + 1.2 = 20 ft

h = 2 ft

B = 1.2 x 8.8 = 10.56 ft²

Answer:

11

Step-by-step explanation:

Step 1:

Since b = 3, substitute 3 into the expression for b

2(3) + 5

Step 2:

2(3) = 6 so the expression is now 6 + 5

Step 3:

6 + 5 = 11

Answer:

Argentina and Chile!

- •Promise• {Kacchan}

Answer:

The rates are not equivalent since Maria saves $0.50 more per month than Ralph.

Step-by-step explanation:

We can determine if two rates are equivalent by comparing the rates at which they save per month.

Maria's savings per month:

Both 50 and 4 can be divided by 2, which gives us 25/2.  As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.

Ralph's savings per month:

Both 60 and 5 can be divided by 5, which gives us 12.  Thus, Ralph saves $12 per month.

Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.

I don't know if you still need the answer, but it's in the picture

The correct statement is; B. When x increases by​ 1, y increases by 9. The function rule is y = 9x + 1

A linear function is represented as: y = mx + c

Where m is the slope and b is the intercept the value of y, when x = 0

From the given table, we have the following observations that;

As x increases by 1

The value of y increases by 9 and the slope of the table is 9

So, we have been given m = 9

Then y = 9x + c

Since an increment of 1 in the value of x will result in an increment of 9 in the value of y which means that; If x is reduced by 1, the corresponding value of y would reduce by 9.

When x = 1 then y = 10

This means that y = 9x + 1

The correct statement is; B. When x increases by​ 1, y increases by 9. The function rule is y = 9x + 1

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Answer:

18 and 29 are the following terms in the series pattern as a result.

Step-by-step explanation:

The series pattern 1, 3, 4, 7, and 11 is given, and the two next numbers in the series is to be found

Let's find the logic behind the series pattern arrangement

Term one is one, and term two is three.

The third term appears to be the sum of the first and second terms

= 3+4 = 7                                                                                            

The fourth term appears to be the sum of previous two terms

= 4+7 = 11

Accordingly, the following term should be equal to the sum of the two terms before it, which is 7+11 = 18 , using the same pattern.

Similarly Next term is = 11+18 = 29 , using the same pattern.

18 and 29 are the following terms in the series pattern as a result.

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The true statement about the width is that it is 30.75 feet long

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

Length = 15 feet more than 3 times the height of a room

Floor area, A(h) = 4h² + 42h + 90

Where l is the length and h is the height

Mathematically, the length can be represented as

l = 15 + 3h

Make h the subject

h = l/3 - 5

Recall that:

A(h) = 4h² - 42h + 90

Differentiate

A'(h) = 8h - 42

Set to 0

8h - 42 = 0

So, we have

8h = 42

Divide both sides

h = 5.25

Substitute h = 5.25 in l = 15 + 3h

l = 15 + 3 * 5.25

Evaluate

l = 30.75

Hence, the true statement is that the width is 30.75 feet

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The possible length of the third side will be values that are less than 41 and greater than 5

For three sides to be the sides of a triangle, the sum of any two sides of the triangle must be greater than the third.

Given the two sides of a triangle have lengths 18m and 23m, the sum of the sides is given as:

sum = 18 + 23

Sum = 41

Let the third side be x, such that;

x + 18 >23

23 + x > 18

x >  23 - 18

x > 5

Similarly

x > -5

Hence the possible length of the third side will be values that are less than 41 and greater than 5

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The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:

Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.

Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.

People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.

The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.

Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.

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Answer:

a,b

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:

C: EAF Is the correct answer

Answer:

nnnnnnnnnnnnnnnnnx ce 3rd d

Answer:

Step-by-step explanation:

r = √3 v/πh

Putting values

= 6.77

Answer:

It would cost $116 for a group of 8 people.

Step-by-step explanation:

You would divide 145/10 to find the cost for 1 group (which would be $14.5). Then, you would multiply 14.5x8 to get your answer of $116.

Answer:

$116

Step-by-step explanation:

1. First, let's find how much it costs for 1 person to attend a concert by dividing 145 by 10.

2. Next, let's multiply 14.5 by 8.

Therefore, it costs a group of 8 people $116 to attend a concert.

Answer:

36 more elves

Step-by-step explanation:

90 giants takes up 90/120 = 0.75 of the whole theater, leaving 0.25 empty for the elves.

0.25 * 144 = 36

36 more elves can fit.

Answer:

36 elves

Step-by-step explanation:

Hope this helps

At a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

According to the given model C = 0.37219T + 1,560, where C represents the number of calories an idle mouse burns each day and T represents the temperature of its environment in °C.

To find the most comfortable temperature for an idle mouse, we need to determine the temperature at which the mouse burns the least amount of calories per day.

To find this temperature, we can minimize the equation C = 0.37219T + 1,560. To do so, we take the derivative of C with respect to T and set it equal to zero:

dC/dT = 0.37219 = 0

Solving this equation, we find that the derivative is a constant value, indicating that the function C = 0.37219T + 1,560 is a linear equation with a slope of 0.37219. This means that the mouse burns the least calories at any temperature, as the slope is positive.

Therefore, there is no specific "most comfortable" temperature for an idle mouse in terms of minimizing calorie burn. However, if we consider the range of temperatures mice typically encounter, we can find a temperature where the calorie burn is relatively low.

For example, if we take a temperature of 20°C, we can calculate the calorie burn:

C = 0.37219 * 20 + 1,560

C = 7.4438 + 1,560

C ≈ 1,567.4438 calories per day

Therefore, at a temperature of 20°C, the mouse would burn approximately 1,567.44 calories each day.

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Answer:

\(k = 8.35\)

Step-by-step explanation:

Given

\(Gallons = 4\)

\(Weight = 33.4lb\)

Required

Determine the constant of variation (k)

This is calculated by dividing the weight of gallons by the number of gallon.

\(k = \frac{Weight}{Gallons}\)

Substitute values for Gallons and Weight

\(k = \frac{33.4}{4}\)

\(k = 8.35\)

This means that 1 gallon weighs 8.35lb

Answer:

The answer is

Step-by-step explanation:

(6)(-1)(-3)(10)(-2)

Multiply the terms in the bracket

That's

(6)(-1) = - 6

(-3)(10) = - 30

So we have

(-6)(-30)(-2)

= 180( - 2)

= - 360

Hope this helps you

Answer:

I believe that it is $901.20

Step-by-step explanation:

I make this assumption Because when we withdraw, we take away. If Kayla wrote these for checks, you just simply add them up and you get a total of $901.20.

We aren’t sure how much she had before withdrawing this money

Answer:

42.9 in

Step-by-step explanation:

Volume of a cube = side cubed

V = (3.5)^3

V = 42.875

The two equations which can be used to represent the situation are;

r + s = 1787

4r + 3s = 5,792

The correct answer choice is option B and E

Reserved seat for basketball game = r

Students seat for basketball game = s

Cost of reserved seat tickets = $4

Cost of students tickets = $3

Total number of people who attended the basketball game= 1,787 people

Total amount earned for tickets sales= $5,792

r + s = 1787

4r + 3s = 5,792

Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792

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Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

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 )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

Answer:

75

Step-by-step explanation:

All the angles would add up to 360

145+55+35+55=285

Then:

360-285=75

>ZUW=75

The cardinality of set {red, yellow}∪{blue} is 3.

The cardinality of set {∅, {{1}}} is 2.

The cardinality of set {5, 1}∪{1, 2, 5} is 3.

Cardinality is the quantity of elements in a particular mathematical set.

The number of cardinal (fundamental) members of a set is referred to as cardinality. A non-negative integer can have a limited or infinite degree of cardinality.

from the question three sets are given

1. {red, yellow}∪{blue}

2. {∅, {{1}}}

3. {5, 1}∪{1, 2, 5}

1. we know that

When A and B are two sets that are not connected, n(A U B) = n(A) + n (B) = 2 + 1.

so there are 3 elements.

so the cardinality of set {red, yellow}∪{blue} is 3.

2. {∅} is a set with a single element. That component is a set in and of itself, means there are two elements.

so, the cardinality of set {∅, {{1}}} is 2.

3. {5, 1}∪{1, 2, 5}

When A and B are two sets that are not connected, n(A U B) = n(A) + n (B).

Here 5 and 1 is common in both so that there are 3 elements.

so, the cardinality of set {5, 1}∪{1, 2, 5} is 3.

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Answer:

r = 1

Step-by-step explanation:

Given the equation of proportion

y = rx ← r is the constant of proportionality

Divide both sides by x

\(\frac{y}{x}\) = r

Choose any ordered pair from the table

Using x = 5.8 and y = 5.8 , then

r = \(\frac{5.8}{5.8}\) = 1