Jesse is saving the money he earns in his piggybank. He had already earned
$60 from previous work. He charges $15 to mow one lawn. After mowing 4
lawns, how much total money will he have in his piggybank?

The given undirected, weighted graph consists of various nodes connected by edges with corresponding weights. To draw the graph, we represent each node as a vertex and connect them with edges labeled with their respective weights.

To find the minimal spanning tree (MST) on the 5 by 5 square of nodes, we need to select the subset of edges that connect all the nodes with the minimum total weight.

a) Drawing the weighted graph: Based on the given edge list, we draw the graph by representing each node as a vertex and connecting them with edges labeled with their corresponding weights. We consider the nodes A, B, C, D, ..., and draw the edges with the respective weights between the corresponding vertices.

b) Drawing the minimal spanning tree (MST): To find the MST on the 5 by 5 square of nodes, we need to select the subset of edges that connect all the nodes with the minimum total weight. Starting from any node, we choose the edge with the minimum weight to connect it to another node. We continue this process, ensuring that we do not form cycles and include all the nodes until we have connected all the nodes with the minimum total weight.

By considering the weights and following the process described above, we draw the minimal spanning tree on the 5 by 5 square of nodes, connecting them with the minimum weight edges.

Learn more about graph here:

https://brainly.com/question/17267403

#SPJ11

Answer:

1 3/4 acres

Step-by-step explanation:

6 1/2 - 4 3/4 = the remaining acres to be fenced.

we can bring all numbers to "quarters" (1/4th) to be able to make that subtraction.

6 1/2 = 13/2 = 26/4

4 3/4 = 19/4

so, 26/4 - 19/4 = 7/4 = 1 3/4 acres still to be fenced.

Answer:

5 people JUST jog

Step-by-Step Explanation:

150 PEOPLE

150-85=65 (85=swim)

65-60(swim/jog) =5 (jog)

THAT MEANS 5 PEOPLE JUST JOG

OR 65 PEOPLE JOG OVERALL

The number of people who jogs are 90.

We can solve this problem using the Rule of Inclusion/Exclusion.

The Rule of Inclusion/Exclusion states that if you want to find the number of elements in both sets, subtract the number of elements in the intersection from the sum of the number of elements in each set.

Therefore, in this problem, the number of people who jog is equal to the total number of people who either swim or jog, 150, minus the number of people who both swim and jog, 60, which is equal to 90 people.

Therefore, 90 people jog.

Learn more about Rule of Inclusion or Exclusion here:

https://brainly.com/question/32375490.

#SPJ2

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

Learn more about arc length of sector click here:

https://brainly.com/question/28988267

#SPJ1

The standard deviation of X is approximately $20.07.

We can solve this problem by using the standard normal distribution and the z-score formula.

First, we need to standardize the variable X by subtracting the mean m and dividing by the standard deviation σ:

z = \(\frac{(X - m) }{σ}\)

We want to find the value of σ that makes P(X ≥ $75) = 0.2981. Using the standard normal distribution table, we can find the z-score corresponding to the area to the right of z:

P(Z ≥ z) = 0.2981

z = 0.546

Substituting this value of z and the given mean m, we get:

0.546 = ($75 - $64) /Ф

Solving for σ, we get:

σ = ($75 - $64) / 0.546

σ ≈ $20.07

Therefore, the standard deviation of X is approximately $20.07.

Answer -89¾

30½ =30.5

120¼= 120.25

30.5 - 120.25 = -89.75

= 89¾

Answer:

1/4

Step-by-step explanation:

we know that the lines A and B are parallel.

The term "parallel" implies that they will never meet each other, and to do so, the lines must have the same slope.

So the slope of line A is the same as line B (as for all parallel lines have the same slope)

So the slope of line B is also 1/4

Hope it helped!!!

Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)

To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have

f(x) = ln(x)

\(f^{1}(x)= \frac{1}{x} \\f^{2}(x)= -\frac{1}{x^{2} }\\f^{3}(x)= -\frac{2}{x^{3} }\\f^{4}(x)= \frac{-6}{x^{4} }\)

.

.

.

Since we need to have it centered at 9, we must take the value of f(9), and so on.

f(9) = ln(9)

\(f^{1}(9)= \frac{1}{9} \\f^{2}(9)= -\frac{1}{9^{2} }\\f^{3}(x)= -\frac{1(2)}{9^{3} }\\f^{4}(x)= \frac{-1(2)(3)}{9^{4} }\)

.

.

.

Following the pattern, we can see that for \(f^{n}(x)\),

\(f^{n}(x)=(-1)^{n-1}\frac{1.2.3.4.5...........(n-1)}{9^{n} } \\f^{n}(x)=(-1)^{n-1}\frac{(n-1)!}{9^{n}}\)

This applies for n ≥ 1, Expressing f(x) in summation, we have

\(\sum_{n=0}^{\infinite} \frac{f^{n}(9) }{n!} (x-9)^{2}\)

Combining ln2 with the rest of series, we have

\(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)

Taylor series is \(f(x) = ln2 + \sum_{n=1)^{\infty}(-1)^{n-1} \frac{(n-1)!}{n!(9)^{n}(x9)^{2} }\)

Find out more information about taylor series here

brainly.com/question/13057266

#SPJ4

Answer:

$8.19

Step-by-step explanation:

because when you do this you want to add 30 to 6.30 and move the decimal 2 numbers over

ez 1.2

Solution for What is 150 percent of 0.8:

150 percent *0.8 =

(150:100)*0.8 =

(150*0.8):100 =

120:100 = 1.2

Answer:

x = 2

Step-by-step explanation:

-12 = -3x²

divide through by -3

-12/-3 = -3x²/-3

4 = x²

square root both sides

[4]^½ = x²× x^½

so therefore: 2 = x

Answer:

B) -2t^2+3t+5

and

C) 4t-7

Answer:

Yes

Step-by-step explanation:

-3x+7=-17

      -7    -7

     -3x=-24

     _______

       x=8

Answer:

\(d=\frac{2w(c-2)}{5} \)

Step-by-step explanation:

The given formula is:

c=5d+4w/2w

We need to find d.

Multiply 2w on both sides, we get

c x 2w= 5d+4w/2w x 2w

2cw=5d+4w

Adding -4w on both sides, we get

2cw-4w=5d+4w-4w.

2cw-4w=5d

2w(c-2)=5d

Dividing by 5, we get

2w(c-2)/5 = 5d/5

2w(c-2)/5 = d

Hence the required formula with subject d is

\(d=\frac{2w(c-2)}{5} \)

Answer:

The radius is 4

You have to do half what 8 it 4 an that your answer

Answer:

9:35 am

Step-by-step explanation:

7:40 am

+ 40 minutes

7:80

:60 = + 1

:80 - :60 = +:20

8:20

1 hour and 15 minutes =

+ 1 hour =

9:20

+ 15 minutes

9:35 am

Step-by-step explanation:

this is your answer hope this may help you

Answer:

true

Step-by-step explanation:

The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each.

The amount of tickets is given as,

Ticket's amount = 3 x $13

Ticket's amount = $39

Then the amount spent on snacks is given as,

Snack's amount = 4 x $5

Snack's amount = $20

Then the total amount is given as,

Total amount = $39 + $20

Total amount = $59

The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

\((h \times \: g)(b) = (b - 1)^{2} (5b - 9) \\ = ( {b}^{2} - 2b + 1)(5b - 9) \\ = 5 {b}^{3} - 19 {b}^{2} + 23b - 9\)

\((h \times \: g)( - 6) = 5( - 6) ^{3} - 19( { - 6}^{2}) + 23( - 6) - 9 \\ = 5( - 216) - 19(36) - 138 - 9 \\ = - 1080 - 684 - 138 - 9 \\ = - 1911\)

I hope I helped you^_^

The value of function (h·g)(b) for x=-6 is -867.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given functions are g(b)=5b-9 and h(b)=(b-1)².

Now, (h·g)(b)=h(b)×g(b)

= (b-1)²×5b-9

= (b²-2b+1)×(5b-9)

= b²(5b-9)-2b(5b-9)+1(5b-9)

= 5b³-9b²-10b²+18b+5b-9

= 5b³-10b²+23b-9

Now, (h·g)(-6)

= 5(-6)³-10(-6)²+23(-6)-9

= -1080+360-138-9

= -867

Therefore, the value of function (h·g)(b) for x=-6 is -867.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

According to the given data we have the following:

Whitney earns 312 in 26 hours of work

Andrew earns 451 in 41 hours of work

Lena earns 10 per hour

In order to calculate who earns the most money per hour we would have to calculate the rate of money per hour of Whitney and Andrew and the compare it with Lena.

So, money per hour of whtiney=312/26

money per hour of whtiney=12 per hour

money per hour of Andrew=451/41

money per hour of Andrew=11 per hour

Therefore, Whitney is the person that earns most money per hour.

Answer:

\(\huge\colorbox{pink}{✏﹏ \: Inertia \: }\)

➳ Inertia refers to the tendency to do nothing or to remain unchanged in its state of motion or rest unless an external unbalanced force acts on it (Newton's third law of motion - also known as the Law of Inertia)

The coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

To find the image of triangle ABC after a dilation with center (0,0) and a scale factor of 1/2, we need to multiply the coordinates of each vertex by the scale factor.

Let's suppose that the coordinates of the vertices of the original triangle ABC are:

A = (x₁, y₁)

B = (x₂, y₂)

C = (x₃, y₃)

Then, the coordinates of the image of A, B, and C after the dilation are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

Therefore, the coordinates of the image of the triangle ABC after the dilation with center (0,0) and a scale factor of 1/2 are:

A' = (1/2 * x₁, 1/2 * y₁)

B' = (1/2 * x₂, 1/2 * y₂)

C' = (1/2 * x₃, 1/2 * y₃)

To learn more about triangle from the given link:

https://brainly.com/question/2773823

#SPJ1

Answer:

Square

4,4,4

Step-by-step explanation:

Inference procedures for paired data are used when comparing two measurements on the same subjects or units, such as in this case where the calorie intake is measured for each child under two different breakfast conditions.

Paired data allows us to account for individual variability and potential confounding factors that may exist between subjects, resulting in more accurate and precise inference about the effect of the variable of interest (breakfast type) on the outcome (calorie intake).

Using inference procedures for independent random samples would not be appropriate in this scenario because it would not take into account the paired nature of the data.

Treating the measurements as independent would neglect the fact that each child serves as their own control, and the difference in calorie intake between the two breakfasts is the variable of interest. By pairing the measurements, we can better assess the specific effect of the breakfast type on calorie intake while controlling for individual differences within the sample.

To learn more about measurements click here:

brainly.com/question/2107310

#SPJ11

Answer:

Since Q is a center of gravity, we can apply these formulas

The volume of the spherical cap is approximately 186624π cubic units.

A spherical cap is a portion of a sphere that lies between two parallel planes that intersect the sphere. To find the volume of a spherical cap with radius and height , we can use the following formula:

V = \(\frac{\pi h^{2}}3(3r-h)\)

where is the radius of the sphere.

Substituting the given values of and , we get:

V=\(\frac{\pi (24)^{2}}3(3*37-24)\)

Simplifying this expression, we obtain:

V= \(\frac{\pi (576)}3(81)\)

V=186624\(\pi\)

Therefore, the volume of the spherical cap with radius 37 and height 24 is approximately 186624π cubic units.

Learn more about volume

brainly.com/question/15861918

#SPJ11

The volume of the spherical cap is approximately 186624π cubic units.

A spherical cap is a portion of a sphere that lies between two parallel planes that intersect the sphere. To find the volume of a spherical cap with radius and height , we can use the following formula:

V = \(\frac{\pi h^{2}}3(3r-h)\)

where is the radius of the sphere.

Substituting the given values of and , we get:

V=\(\frac{\pi (24)^{2}}3(3*37-24)\)

Simplifying this expression, we obtain:

V= \(\frac{\pi (576)}3(81)\)

V=186624\(\pi\)

Therefore, the volume of the spherical cap with radius 37 and height 24 is approximately 186624π cubic units.

Learn more about volume

brainly.com/question/15861918

#SPJ11

Answer:

where are the choices?

Step-by-step explanation: