Nadia drew a design for a copper wire sculpture as shown above.She plans to make a wire frame that includes the perimeter of the square and the circumference of the circle.She has 5 feet of copper wire.Does she have enough wire for the sculpture?

1/12    is the probability that the sum of the two faces adds to 5 .

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                             Statistics describes the examination of events subject to probability.

It is because there are total of 3 pairs possible where addition of number face adds to 4.

The pairs are (2,2), (1,3), (3,1).

The total outcomes possible(sample space) is 36.

Hence probability is 3/36, that is, 1/12

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In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).

To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.

On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.

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Answer:

3 peices

Step-by-step explanation:

Answer:

Choice A: \(y=-3x+4\)

Step-by-step explanation:

For this we have to find the slope and the y-intercept.

Finding slope:

For slope we can use this formula \(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\).

\(m=\frac{7--2}{2--1}\)

There, now we solve it.

\(m=\frac{7--2}{-1-2}=\frac{9}{-3}=-3\)

Slope is -3.

Finding the y-intercept:

We will plug in an ordered pair and the slope to this formula

I'll be using the ordered pair (-1,7).

\(y-y_1=m(x-x_1)\\y-7=-3[x-(-1)]\\y-7=-3x-3\\y=-3x+4\)

So the y-intercept is 4.

And we already wrote the equation.

Answer:

3 hrs and 25 mins

Step-by-step explanation:

10:45 (45 + 15 = 60 = 1 hour)

11:00 ( 11:00 + 3 hours = 2:00)

2:00 ( +10 more mins)

= 2:10 pm

A. E'F' and EF are equal in length.

Step-by-step explanation:

A reflection across any axis does not change the length of a segment.

hello

the equation given is

the slope of the equation is equal to 2

the points are (-5 ,1)

t

We need more info pls

Answer:

\(m=-\frac{42}{31}\)

Step-by-step explanation:

\(m+7+\left(-15m\right)+9-17m=58\)

Remove brackets:

\(m+7-15m+9-17m=58\)

Group the similar terms together:

\(m-15m-17m+7+9=58\)

\(-31m+16=58\)

Subtract 16 from both sides:

\(-31m+16-16=58-16\)

\(-31m=42\)

Divide both sides by -31:

\(\frac{-31m}{-31}=\frac{42}{-31}\)

\(m=-\frac{42}{31}\)

Answer:

The volume would increase 8 times

Step-by-step explanation:

The volume of a cube is given by the following formula:

Volume = side^3

With a volume of 125 cm3, we have:

125 = side^3

Now, if we double the length of the side, we have that:

New volume = (2*side)^3

New volume = 8*side^3

New volume = 8 * 125 = 1000

So the ratio of the new volume over the old volume is:

New volume / Volume = 1000 / 125 = 8

So the volume increased 8 times.

The height of the tower is 331.3 meters

The distance from the car to the foot of the tower is 191.3 meters

The situation forms a right angle triangle.

Right angle triangle has one of its angles as 90 degrees. Therefore,

The height of the tower is the opposite side of the right angle triangle. The distance from the foot of the tower to the car is the adjacent side of the triangle formed.

Therefore, the following trigonometric can be formed from the relationship.

let

x = adjacent side = distance from the foot of the tower to the car.

Therefore,

\(x=\frac{140 + h}{tan60}=\frac{h}{tan45}\)

cross multiply,

(140 + h)(tan 45) = h tan 60

140 tan 45 + h tan 45 = h tan 60

140 tan 45  =  h tan 60 -  h tan 45

140 = h√3 - h

140 = 1.732h - h

140 = 0.732h

h = 140 / 0.732

h = 191.256830601

h = 191.3

Therefore,

height of the tower = 140 + 191.3 = 331.3

The distance from the car to the foot of the tower is as follows;

x = 191.3 / 1

x = 191.3

Therefore, the distance from the car to the foot of the tower is 191.3 meters

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Answer:

2

Step-by-step explanation:

Let Ishan’s age equal an unknown quantity we’ll call “x”.

An age 4 times Ishan’s would be 4 times x, written “4x”.

An age 6 years older than Ishan’s would be written “x+6”.

Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”

The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.

Divide both sides by the same quantity: 3.

This will give you x =2. This indicates Ishan’s age is 2.

Answer:

Ishaan is 2 years old.

Step-by-step explanation:

We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.

\(b = 4i\)

\(b = i+6\)

Let's solve via substitution.

\(4i = i+6\)

Subtract i from both sides:

\(3i = 6\)

Divide both sides by 3:

\(i = 2\)

So Ishaan is 2 years old. Ben is:

\(4(2) = 8\) years old.

Hope this helped!

Answer:

\(\frac{3}{8}\) or 0.375

Step-by-step explanation:

the answer is 60degree..hope it helps u

Answer:

answer is 3 option I believe

Answer:

Divide the tax rate by 100. A tax of 7.5 percent was added to the product to make it equal to 118.25. So, divide 7.5 by 100 to get 0.075.

Answer:

$8.25

Step-by-step explanation:

To find the tax on $110, find 7.5% of 110.

Let x be 7.5% of 110.

\( \frac{7.5}{100} = \frac{x}{110} \)

\(110 \times 7.5 = 100x\)

\(825 = 100x\)

\(8.25 = x\)

7.5% of 110 is $8.25. The tax on $110 is $8.25.

Answer:

m < b = 76

Step-by-step explanation:

Because b is directly across from the 76 degree angle, that makes them vertical angles, which means they are the same degree I believe.

Answer:

∠ b = 76°

Step-by-step explanation:

∠ b and 76° are vertically opposite angles and are congruent , then

∠ b = 76°

Answer:

Slope = 4

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

This equation represents Plan 1, since it shows that the cost to join the plan is $30 and the cost for each bowling visit is $3.

Step-by-step explanation:

Answer: 3x + 30

Step-by-step explanation: the $3 fee depends on how many times joey goes bowling so it will be 3x + the flat $30 per month

Answer:

129.6% profit

Step-by-step explanation:

1)Firstly in order to find the overall profit you take away $2.70 from $6.20 = $3.50

2)The next step is to put the profit over the amount paid = 3.50/2.70 = 35/27.

3)In order to find the percentaage you multiply 35/27 by 100 = 129.629 recurring. This rounded to 1 decimal place is 129.6%

Thank you for reading, please let me know if I've missed anything out!

The amount of time it would take for Mr. Smith's rocket to return to the ground is 8 seconds.

Based on the information provided, we can logically deduce that the height (h) in meters, of this rocket above the​ ground is related to time by the following quadratic function:

h(t) = -16t² + 128t

Generally speaking, the height of this rocket would be equal to zero (0) when it hits the ground. Therefore, we would equate the height function to zero (0) as follows:

0 = -16t² + 128t

16t² = 128t

16t = 128

Time, t = 128/16

Time, t = 8 seconds.

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The vertices of the triangle after reflection over y=x are (-1, 5), (-4, 1) and (-1, 0).

The vertices of the triangle from the given graph are (-5, -1), (-1, -4) and (0, -1).

Reflection across line y=x.

Reflect over the y = x, when you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed).

After reflection over y=x, we get vertices has

(-5, -1)→(-1, 5)

(-1, -4)→(-4, 1)

(0, -1)→(-1, 0)

Therefore, the vertices of the triangle after reflection over y=x are (-1, 5), (-4, 1) and (-1, 0).

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The absolute value f(x)=6|x| function as a piecewise-defined function is:

f(x) = { 6x, if x ≥ 0

        { -6x, if x < 0

A piecewise-defined function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.

Each sub-function is defined by a separate piece of the overall function, and together they define the entire domain of the function. The sub-functions are typically separated by breakpoints, which are values of the input variable at which the sub-functions change.

|x| can either be -x or x. Thus, the absolute value function f(x) = 6|x|  can be written as:

f(x)= 6x or f(x)= -6x

Therefore, the piecewise-defined function of f(x) = 6|x| will be:

f(x) = { 6x, if x ≥ 0

        { -6x, if x < 0

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The partition number for f(x) = x^3 - 75x + 5 with n = 5 and Δx = 10 is -12,500 and the function is f(x) = x^3 - 75x.

A partition number, in the context of a function, typically refers to how many intervals a given function is being divided into. However, this concept is more commonly used in numerical integration methods like Riemann sums, trapezoidal rule, or Simpson's rule. To provide a more accurate and relevant answer, please clarify the context or the goal you have in mind for the given function f(x) = x^3 - 75x.

To find the partition number for f(x) = x^3 - 75x + 5, we need to use a partition function. One commonly used partition function is the Riemann sum.
The Riemann sum is defined as:
∑[f(xi*) * Δxi] from i = 1 to n
where xi* is any point in the ith subinterval and Δxi is the width of the ith subinterval.
To find the partition number, we need to choose the number of subintervals (n) and the width of each subinterval (Δx). We can choose any values for n and Δx, but the smaller the width of the subinterval, the more accurate our approximation will be.
For example, let's choose n = 5 and Δx = 10. This means we will divide the interval [0, 50] into 5 subintervals of width 10.
The endpoints of our subintervals will be:
x0 = 0
x1 = 10
x2 = 20
x3 = 30
x4 = 40
x5 = 50
The Riemann sum for our partition is:
f(x1*) * Δx + f(x2*) * Δx + f(x3*) * Δx + f(x4*) * Δx + f(x5*) * Δx
where x1*, x2*, x3*, x4*, and x5* are any points in their respective subintervals.
To evaluate the Riemann sum, we need to find the value of f(x) at each point xi*. For example, at x1* = 5 (the midpoint of the first subinterval), we have:
f(x1*) = (5)^3 - 75(5) + 5 = -185
Similarly, we can find the values of f(x) at the other four points xi* and substitute them into the Riemann sum:
-185 * 10 + (-315) * 10 + (-375) * 10 + (-315) * 10 + (-185) * 10
= -12,500
Therefore, the partition number for f(x) = x^3 - 75x + 5 with n = 5 and Δx = 10 is -12,500.
The partition number for the function f(x) = x^3 - 75x.

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A reflection over the point (0,0) is given by:

Nevertheless, the reflection is being made over the point (0,-3). We can first make a traslation of the point (0,-3) to the origin. Then, reflect the new coordinates of the point A through the origin and then bring back the new origin to (0,-3).

First, make a traslation such that the new coordinates of (0,-3) are (0,0):

Then, apply a reflection through the origin:

Finally, make a traslation reciprocal to the first one:

Therefore, the reflection over the point (0,-3) can be written as:

Substitute (x,y)=(4,1) to find out the new coordinates of A after the reflection:

Therefore, the coordinates of the point B are (-4,-7).

The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.

The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).

Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3

Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

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