Each edge of a square is increasing at a rate of 5 cm/sec. At what rate is the area increasing when each edge is 2 cm?
10 sq. cm/sec
20 sq. cm/sec
25 sq. cm/sec
40 sq. cm/sec

Answer:

68mm

Step-by-step explanation:

Answer:

63.585 mm2 is the area

28.26 is the circumference.

Hope this helps!

Answer:

y = -23/6

Step-by-step explanation:

1. Substitute x.

3 x -4-6y = 11

-12-6y=11

2. Solve

-12-6y=11

+12     +12

-6y= 23

y= -23/6

Step-by-step explanation:

-12-6y=11

-6y=23

6y=-23

y=-23:6

y=3.8

(if I remember this correctly)

Answer:

48 km

Step-by-step explanation:

The total distance = 4/4

12 km left = 3/4 of the way there

3/4 of the way there = 4/4 - 3/4 = 1/4 of the way left

12 km left = 1/4 of the way left

12 km = 1/4 of the way

multiply both sides by 4

48 km = 4/4 of the way = the total distance

1. Valid 2. Invalid 3. Valid 4. Valid, The alternative hypothesis is evaluated by assuming it is true and testing the probability of getting the observed results if chance alone is operating.

This probability is known as the p-value, and it represents the probability of observing a sample mean as extreme or more extreme than the one observed, given that the null hypothesis is true. A small p-value (typically less than 0.05) indicates that the observed results are unlikely to be due to chance alone and provides evidence against the null hypothesis. Conversely, a large p-value indicates that the observed results are likely to be due to chance alone and fails to provide evidence against the null hypothesis. The level of significance (α) is chosen prior to conducting the hypothesis test and represents the probability of rejecting the null hypothesis when it is actually true.

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Answer: The answer would be A or $1

Step-by-step explanation:

$9 x 3 = $27 adult Wilson tickets          $9 x 2 = $18 adult Jackson tickets

$5 x 4 = $20 student Wilson tickets     $5 x 6 = $30 student Jackson tickets

$20 + $27 = $47 Wilson tickets            $18 + $30 = $48 Jackson tickets

                                          $48 - $47 = $1

Answer:

a. $1

Step-by-step explanation:

To find the difference, calculate how much each family spent on tickets and then subtract the lower number from the higher number. I’ll start with the Wilson’s.

First, multiply the cost of the tickets by how many they bought.

$9*3 adult tickets=$27

$5*4 student tickets=$20

Then, add the values together to find the total cost.

$27+$20=$47

Now, let’s do the same for the Jackson’s.

$9*2 adult tickets=$18

$5*6 student tickets=$30

$18+$30=$48

Finally, subtract the Jackson’s total cost from the Wilson’s.

$48-$47=$1

The difference is $1.

Answer:

J, B, A, L

Step-by-step explanation:

The awnser to question one is J, the awnser to questions two is B, the awnser to question three is A and the awnser to question four is L. Hope this helps.

Answer:

2.00 is your answer lol i think

Step-by-step explanation:

please mark as brainllest

Answer:

8x-4 they have altogether

Step-by-step explanation:

6x-7+2x+3=8x-4

Answer:

can't see any figure to study

A   u suck

Step-by-step explanation:

Answer: A (-4,5)

Step-by-step explanation:

The ∠DAB + 2∠ABC = 180∠DAB + ∠ABC = 90This proves that the consecutive angles of a parallelogram are supplementary.

A parallelogram is a four-sided geometric shape with two pairs of parallel sides.

The opposite angles of the parallelogram are equal, and the consecutive angles are supplementary. Here's how we can prove that the consecutive angles of a parallelogram are supplementary:

Let's assume we have a parallelogram ABCD where AB is parallel to CD and AD is parallel to BC. Let's assume that ∠DAB and ∠ABC are consecutive angles.

∠DAB + ∠ABC = ∠BAD (The sum of the angles in triangle ABD)Also, ∠BAD + ∠BCD = 180 (The sum of the angles in triangle BCD)

Therefore, ∠DAB + ∠ABC + ∠BCD = 180Since AB is parallel to CD, we know that ∠ABC and ∠BCD are equal.

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Answer:

1/2 or 0.5

Step-by-step explanation:

since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5

Answer:

1/2

Step-by-step explanation:

Since there are a total of 14 t shirts and 7 of them were green, the experimental probability that the next one is also green is 7/14=1/2. Hope this  helps!

Answer:

They spent $15.

Step-by-step explanation:

It's given that Jane bought x cookies, so 3x.

John spent $1 on each of the x cookies he got, and also an extra $10, so x+10.

3x=x+10

2x=10

x=5

So they got 5 cookies each.

5 cookies x $3= $15 (check with $5(1)+$10= $5+$10= $15 )

Answer: 3

Step-by-step explanation:

6x plus 1 plus 5x plus 2 subtract 5 from 6 and five on both sides you will end up with 1x or xthe just add 1 plus to and get that x=3 . from how your problem is set up.

The slope of a graphed line that spans grid points (0, 2) and best represents the slope as -5 (1, -3)

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).

given

If the line rises to the right, the slope has a positive sign. The slope of this line is negative since it descends to the right. (Removes options C and D)

The ratio of the vertical to horizontal distance between two sites determines the slope's magnitude. This line has a slope of rise/run = -5/1 = -5 because it descends five vertical squares for every square to the right.

-5 is the best way to describe the slope.

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Answer:

I hope that is useful for you :)

Answer:

-5

Step-by-step explanation:

-5 = -5

The acceleration require for the body to not explode will be 0.2941\( m/s^2 \)

The finish line as given is 253m away so that distance to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of initial velocity and final velocity divided by 2.

∴ Average velocity  =  (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = 9.51s.

Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.

∴ Acceleration = \( \frac{average\ velocity}{(average\ time)^2}\)

∴ Acceleration = \( \frac{26.6}{(9.51)^2}\)

∴ Acceleration = \( \frac{26.6}{90.44}\)

∴ Acceleration = 0.2941\( m/s^2 \)

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The estimated total time for all five pools is approximately 13.85 hours.

To estimate the time required to install the fifth pool using the learning curve, we can use the formula:

Time for nth unit = Time for first unit * (n^b)

Where:

Time for nth unit is the estimated time to install the nth pool

Time for first unit is the estimated time to build the first pool (30 hours)

n is the number of units (in this case, n = 5 for the fifth pool)

b is the learning curve exponent (85% learning rate corresponds to b = log(0.85) / log(2))

Let's calculate the estimated time for the fifth pool:

b = log(0.85) / log(2) ≈ -0.157

Time for fifth pool = Time for first pool * (5^b)

Time for fifth pool = 30 * (5^(-0.157))

Calculating this, we find:

Time for fifth pool ≈ 30 * 0.6764 ≈ 20.29 hours

Therefore, the estimated time required to install the fifth pool is approximately 20.29 hours.

To calculate the total time for all five pools, we need to sum the time required for each pool from the first to the fifth. Since the learning curve assumes decreasing time with increasing units, we can use a summation formula:

Total time for all units = Time for first unit * ((1 - (n^b)) / (1 - b))

Using this formula, let's calculate the total time for all five pools:

Total time for all five pools = Time for first pool * ((1 - (5^b)) / (1 - b))

Total time for all five pools = 30 * ((1 - (5^(-0.157))) / (1 - (-0.157)))

Calculating this, we find:

Total time for all five pools ≈ 30 * 0.4615 ≈ 13.85 hours

Therefore, the estimated total time for all five pools is approximately 13.85 hours.

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To draw the computation graph for the given equations and perform the forward and backward passes, we need to break down each equation into individual computational steps and represent them as nodes in the graph.

Let's start by representing the given equations in the computation graph:

```

        a       b        L

       / \     / \      |

      /   \   /   \     |

     *     * *     *    -

    / \   / \   / \    

   3   * 4   x  2  *  

      / \     / \      

     x   y   7  *  

               / \

              x   y

```

Each variable or constant is represented as a node, and the operations between them are represented as edges connecting the nodes. Now, let's perform the forward pass using the given values x = 3, y = -2, and z = 1:

```

Forward Pass:

     3          4         -1

      \        / \        |

       *      *   *       |

      / \    / \ / \      

     3   -6 8  -6 2  

         \  | /   |

          \ |/    |

           *      15

          / \    

         6   -4  

```

We substitute the values x = 3 and y = -2 into the computation graph and evaluate each node to compute the forward pass values. The forward pass values are written on top of each node.

Next, let's perform the backward pass to compute the gradients for each variable using the chain rule. We start from the gradient of L with respect to itself (dL/dL = 1) and propagate the gradients backward through the graph:

```

Backward Pass:

       1          1         -1

      / \        / \        |

     /   \      /   \       |

    *     *    *     *      1

   / \   / \  / \   / \      

  3   -4 7  -2 2  *  1  

     / \  |  / \ |  |

    3  -2 |  1  7 |  |

         \|/    \|/  |

          *      3   |

         / \        |

        2  7        |

                   |

                  -1

```

We compute the gradient of L with respect to each variable by multiplying the incoming gradients by the corresponding partial derivatives (chain rule). The gradient values are written on top of each node in the backward pass.

This completes the computation graph with both the forward pass values and the backward pass gradients for the given values of x = 3, y = -2, and z = 1.

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Answer:The second term is -23

Step-by-step explanation:

Step 1- multiply

4x-5=-20

Step 2- subtract

-20 - 3=-23

From the graph showing Kareen's travel the domain is

0 ≤ x ≤ 4

and the range is 0 ≤ y ≤ 2

The total time that Kareem is not moving = 1.5 hours

Examining the graph the domain and range of the graph is determined by the x and y values respectively

The values covered in the x direction in hours is the domain and this is from 0 to 4

The values covered in the y direction in miles is the range and this is from 0 to 5

The times that Kareem did not move is from 2 to 3 and 3 to 3.5.

= |2 - 3| + |3 - 3.5|

= 1 + 0.5

= 1.5 hours

the stagnant period is 1.5 hours

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

Answer:

a.37

b. 82

c.101

d.8

e.6

f.3

Step-by-step explanation:

hope this helps

Answer:

b

Step-by-step explanation:

\(y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)\)

Answer:

1.06 or 1 1/15

Step-by-step explanation:

So, basically what we need to do is reverse the steps.

So now it goes like this:

We start with 1 5/6(1.83)

Then we add 7/18(0.389)

Then we multiply by 1 1/5(1.2)

Then finally, we divide by 2 1/2(2.5)

This will get us our answer. So:

1.83+0.389 = 2.219

2.219*1.2 = 2.6628

2.6628/2.5 = 1.06

This is 1.06 in decimal form, or 1 1/15 in fraction form

Hope this helps!

This can also be double checked, if you plug it into the orginal equation:

1.06, then you multiply by 2.5: 1.06*2.5= 2.6628

2.6628, then you divide by 1.2: 2.6628/1.2= 2.219

Then finally, 2.219 and subtract 7/18: 2.219-0.389= 1.83

So we have double checked, and our answer is still 1.06.

Step-by-step explanation:

You hiked 5400 - 3800 = 1600 feet in 4 hours so the mean change is 1600 / 4 = 400 ft/hour.

Answer:

\(2y = - 4x + 15 \\ y = - 2x + 7.5 \\ \\ slop \: is \: x \: factor \: - 2\)

To find the volume of the composite figure, we first need to break it down into simpler shapes. We can see that the composite figure is made up of a rectangular prism and a triangular prism.

The rectangular prism has a length of 6 cm, a width of 4 cm, and a height of 7 cm. Therefore, its volume is:

Volume of rectangular prism = length x width x height = 6 cm x 4 cm x 7 cm = 168 cubic cm

The triangular prism has a base of 3 cm, a height of 8 cm, and a length of 10 cm. Therefore, its volume is:

Volume of triangular prism = (1/2) x base x height x length = (1/2) x 3 cm x 8 cm x 10 cm = 120 cubic cm

To find the volume of the composite figure, we add the volumes of the rectangular prism and the triangular prism:

Volume of composite figure = Volume of rectangular prism + Volume of triangular prism = 168 cubic cm + 120 cubic cm = 288 cubic cm

Therefore, the volume of the composite figure is 288 cubic centimeters.

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