What happened when the giraffe stepped on the grape?​

Answer:

-------------------------

Answer:

y<=-1/2x-2

Step-by-step explanation:

Answer:

8) Area of triangle ABC is 60

   Area of triangle XYZ is 540

9) The ratio is 1:9

10) (use Pythagorean theorem)

     BC is 12 \(\sqrt{13^{2}-5^{2} } =12\)

     YZ=39 (the legs are the same because it is an Isosceles triangle)

11) the ratio is 1:3

Step-by-step explanation:

Answer:

ATQ= 15 is 1/5 and 312 is 3/12 sorry for that

1/5(N-10)=6-3/12

1/5N -2= 6/1 - 3/12

1/5N-2 = 72 -3/12 = 69/12

69/2 = 5.75

1/5N = 5.75-2 = 3.75

N= 3.75/.2

18.75

Step-by-step explanation:

For a Simple Interest of $160, the amount that he invested is $2000.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Given:

Simple Interest (S.I.) = $160

Rate of Interest (R) = 2%

Time Period (T) = 4 Years

Let the Principal Amount be $P

We know,

\(S.I. =\frac{P*R*T}{100}\)

Putting the given values in the formula, we get:

\(S.I. =\frac{P*R*T}{100}\\S.I. =\frac{P*2*4}{100} =\frac{P*8}{100}\\ 160 =\frac{P*8}{100} \\P = \frac{160*100}{8} =\frac{16000}{8} = 2000\)

Hence, He Invested $2000

To read more about Simple Interest, Visit https://brainly.com/question/25845758

#SPJ1

Answer:

$2,000

Step-by-step explanation:

Simple Interest Formula

\(\large\boxed{\sf I = Prt}\)

where:

Given values:

Substitute the given values into the formula and solve for P:

\(\implies \sf 160=P \cdot 4 \cdot 0.02\)

\(\implies \sf 160=0.08P\)

\(\implies \sf P=\dfrac{160}{0.08}\)

\(\implies \sf P=2000\)

Therefore, the amount Deshaun invested was $2,000.

Any function whose graph is NOT a line is said to be nonlinear. It has the equation f(x) = ax + b. With the exception of the form f(x) = ax + b, its equation can take any form. Any two points on the curve have the same slope.

To ascertain whether a table of values is a linear function, follow these steps:

Learn more about graph Visit: brainly.com/question/19040584

#SPJ4

The global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Given function is `f(x,y)=11x−5y`We need to determine the global extreme values of the given function under the following conditions:y ≥ x - 3y ≥ -x - 3y ≤ 11Now, we need to find the critical points of the given function. For that, we'll calculate partial derivatives of the given function w.r.t x and y.`∂f/∂x = 11``∂f/∂y = -5`As we can see, the partial derivative of the function w.r.t x is positive. Therefore, the critical points of the given function would be the points where `∂f/∂y = -5 = 0`.Since there's no such point satisfying the above equation under given conditions, we can say that there's no critical point under given conditions.Now, let's evaluate the function at the boundaries given:At `y = x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(x - 3)``= 6x + 15`At `y = -x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(-x - 3)``= 16x + 15`At `y = 11`, `f(x,y) = 11x - 5y``= 11x - 5(11)``= 11x - 55`Now, to find the maximum value of `f(x,y)` under given conditions, we need to choose the maximum value among the above calculated values.In this case, `f(x,y)` is maximum at `y = -x - 3`, which is `16x + 15`.Therefore, the maximum value of `f(x,y)` under given conditions is `16x + 15`.Similarly, to find the minimum value of `f(x,y)` under given conditions, we need to choose the minimum value among the above calculated values.In this case, `f(x,y)` is minimum at `y = 11`, which is `11x - 55`.Therefore, the minimum value of `f(x,y)` under given conditions is `11x - 55`.Hence, the global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

The rate of increase of the y-coordinate as it approaches the point (1, 5) is 4 cm/s.At that instant, the x-coordinate of the point is not changing; it is staying at 1.

When a point reaches a certain coordinate, it means that the point is not changing anymore. In this case, the point has reached the coordinate (1, 5), which means that the x-coordinate (1) is not changing, while the y-coordinate (5) is increasing at a rate of 4 cm/s. Therefore, the x-coordinate of the point is not changing at that instant.

x = 1

Rate of Change (x-coordinate) = 0 cm/s

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

The location of the given point F7 is: B(-9, -1)

There are different transformations such as:

Reflection

Translation

Rotation

Dilation

Since Point F' is the image when point F is reflected over the line x= -2 and then over the line y = 3. The location of F' is (5, 7).

So here we have to do graph the points, then connected the points i.e. 5 and 7. And, then reflect it over the line i.e. x = -2, and y = 3

So here the answer should be (-9,-1)

Read more about Transformation at: https://brainly.com/question/27224272

#SPJ1

Given:

Total number of hours = 70 hours

Amount he charges (base fee) = $75

Amount he charges per hour =

The equation Pt=P₀\(e^-0\). 4t is used to predict the ticket sales of a movie after its release. For the latest blockbuster movie, the predicted ticket sales for the sixth week of the movie’s release is $7. 9 million to the nearest $0. 1 million.

The formula used to predict the number of ticket sales t weeks after a movie’s release is Pt=P₀\(e^-0\). 4t, where P₀ is the first week’s ticket sales. In the case of the latest blockbuster movie, the first week’s ticket sales was $16. 3 million. To calculate the predicted ticket sales for the sixth week, the time t must be set to 6. The equation then becomes , which simplifies to Pt=7. 9 million. The predicted ticket sales for the sixth week of the movie’s release is therefore $7. 9 million to the nearest $0. 1 million. The equation  is a useful tool for predicting the ticket sales of a movie over time. It reflects the fact that, generally, ticket sales for a movie will steadily decline over time, with the rate of decline being determined by the value of the exponent, -0. 4 in this case. By plugging in different values for t, one can easily calculate the predicted ticket sales for a movie at any given time.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

a)  The probability that a tire will last at most 40,000 miles is approximately 0.3297

b) The probability that a tire will last at least 65,000 miles is approximately 0.0656

c)The probability that a tire will last between 70,000 and 80,000 miles is approximately 0.0505...

a. We are given that the mileage that car owners get with a certain kind of radial tire is a random variable having an exponential distribution with a mean of 50. Therefore, the rate parameter λ can be found as follows:

λ = 1/mean = 1/50 = 0.02

Now, we need to find the probability that a tire will last at most 40,000 miles. This can be calculated using the cumulative distribution function (CDF) of the exponential distribution:

P(X ≤ 40) = 1 - e^(-λx) = 1 - e^(-0.02*40) ≈ 0.3297

Therefore, the probability that a tire will last at most 40,000 miles is approximately 0.3297.

b. To find the probability that a tire will last at least 65,000 miles, we can use the same exponential distribution with rate parameter λ = 0.02:

P(X ≥ 65) = e^(-λx) = e^(-0.02*65) ≈ 0.0656

Therefore, the probability that a tire will last at least 65,000 miles is approximately 0.0656.

c. Finally, we need to find the probability that a tire will last between 70,000 and 80,000 miles. This can be calculated using the CDF of the exponential distribution as follows:

P(70 ≤ X ≤ 80) = P(X ≤ 80) - P(X ≤ 70)

= (1 - e^(-λ80)) - (1 - e^(-λ70))

= e^(-0.0270) - e^(-0.0280) ≈ 0.0505

Therefore, the probability that a tire will last between 70,000 and 80,000 miles is approximately 0.0505.

Click the below link, to learn more about  probability:

https://brainly.com/question/30034780

#SPJ11

Answer:

56 degrees

Step-by-step explanation:

Coz they're corresponding angles

The correct option d. the event can take no more than a maximum amount of time, described the  an event has a timebox.

A timebox is a set amount of time during which a work must be completed in agile software development.

Thus, when an event has a timebox, it signifies that the event can only last a certain length of time.

To know more about the timebox, here

https://brainly.com/question/29022606

#SPJ4

The unit vector which are in opposite direction of the u = (3,0,5) is given by option B.  -1/√34 (3,0,5) .

Vector u = ( 3, 0, 5 )

Magnitude of u is equal to

|u| = √3² + 0² + 5²

⇒ |u| = √ 9 + 25

⇒ |u| = √34

Let the required unit vector opposite in the direction of u be w

Opposite direction of u is represented by the negation of u

negation of u = ( -3 , 0 , -5 )

⇒ w = ( -3 , 0 , -5 )

Magnitude of w is equal to

|w| = √(-3)² + 0² + (-5)²

⇒|w| = √34

Unit vector w = ( 1/√34)( -3 , 0 , -5 )

Therefore, the required unit vector in the opposite direction of u is equal to option B . ( 1/√34)( -3 , 0 , -5 ).

Learn more about unit vector here

brainly.com/question/30480441

#SPJ4

Answer:

97,175

Step-by-step explanation:

I don't think It's necessary, but I am gonna do it anyways.

15*6=90

15*7=105

105 - 90 =15

15/2 =7,5

90+7,5= 97,5

15*6,5=  97,5

0,05*6,5= 0,325

97,5 - 0,325 =   97,175

Answer:

AAA

Step-by-step explanation:

Answer:

Decimal version: 71%

Percentage version: 0.71

Step-by-step explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

              Car         No car      Total

Boys

Girl

Total

Fill the table

30% of the children at the school are boys

            Car         No car      Total

Boys                                       30%

Girl

Total

60% of the boys at the school arrive by car

That is 60% of 30% = 0.6 × 30% = 18%

            Car         No car      Total

Boys      18%                         30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

            Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

            Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

            Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

80% of the girls at the school arrive by car

That is 80% of  70% = 0.8 × 70% = 56%

            Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

            Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

(a) If f(x) is a convex function with x ∈ ℝⁿ, then all local minima of f(x) are also global minima. In other words, if there exists a point xo such that f(x) ≥ f(xo) for all x in a neighborhood of xo, then f(x) ≥ f(xo) for all x ∈ ℝⁿ.

(b) A graph of a non-convex function can be visualized to understand why the statement in part (a) is not true. It will show a scenario where a local minimum is not a global minimum.

(a) To prove that all local minima of a convex function are also global minima, we can utilize the property of convexity. Suppose there is a point xo such that f(x) ≥ f(xo) for all x in a neighborhood of xo. We assume that xo is a local minimum. Now, consider any arbitrary point x in ℝⁿ. We can express x as a convex combination of xo and another point y in the neighborhood, using the convexity property: x = λxo + (1 - λ)y, where λ is a scalar between 0 and 1. Using this expression, we can apply the convexity property of f(x) to get f(x) ≤ λf(xo) + (1 - λ)f(y). Since f(x) ≥ f(xo) for all x in the neighborhood, we have f(y) ≥ f(xo). Therefore, f(x) ≤ λf(xo) + (1 - λ)f(y) ≤ λf(xo) + (1 - λ)f(xo) = f(xo). This inequality holds for all λ between 0 and 1, implying that f(x) ≥ f(xo) for all x ∈ ℝⁿ, making xo a global minimum.

(b) A graph of a non-convex function can demonstrate a scenario where the statement in part (a) is not true. In such a graph, there may exist multiple local minima, but one or more of these local minima are not global minima. The non-convex nature of the function allows for the presence of multiple valleys and peaks, where one of the valleys may contain a local minimum that is not the overall lowest point on the graph. This occurs because the function may have other regions where the values are lower than the local minimum in consideration. By visually observing the graph, it becomes apparent that there are points outside the neighbourhood of the local minimum that have lower function values, violating the condition for a global minimum.

Learn more about function here:

https://brainly.com/question/222209

#SPJ11

Answer:

$147

Step-by-step explanation:

Answer:

X = all #'s

why?

6x+10+10x < 4(4x+3)

Combined liked terms

16x + 10 < 16x +12

you can see that there is X on both sides and the lowest one has a +10 and the highest has a +12 so it will always be greater by 2

Answer:

undeterminate (all real numbers are a solution)

Step-by-step explanation:

1) multiply 4 by 4x and 3

6x + 10 + 10x < 16x + 12

2) added up the terms with x

16x + 10 < 16x + 12

3) add at the two members -16x

10 < 12

4) notice the 10 is ever < 12, so the inhequality is undetermined

The missing sides of the special right triangles are listed below:

Case 1: y = √2 · 13, x = 13

Case 2: x = y = 15√2

Case 3: x = 6, y = 3√3

Case 4: x = 17√3, y = 17

Case 5: x = y = 10

Case 6: x = 50, y = 25

Case 7: x = y = 4√7

Case 8: x = 16√3, y = 8√3

Case 9: x = 11√3, y = 33

Case 10: x = 3√2, y = 2√6

Case 11: x = √10, y = 2√5

Case 12: x = 4√7, y = 8√21

Herein we find twelve cases of special right triangles whose missing sides must be determined by using the following rules:

45 - 90 - 45 Right triangle

r = √2 · x = √2 · y

30 - 60 - 90 Right triangle

x = (1 / 2) · r

y = (√3 / 2) · r = √3 · x

Where:

Case 1

y = √2 · 13

x = 13

Case 2

x = y = 15√2

Case 3

x = 3 / (1 / 2)

x = 6

y = 3√3

Case 4

x = 34 · (√3 / 2)

x = 17√3

y = 34 · (1 / 2)

y = 17

Case 5

x = y = 10

Case 6

x = 25√3 / (√3 / 2)

x = 50

y = 25√3 / √3

y = 25

Case 7

x = y = 2√14 · √2 = 2√28 = 4√7

Case 8

x = 24 / (√3 / 2)

x = 48 / √3

x = 16√3

y = 24 / √3

y = 8√3

Case 9

x = 22√3 · (1 / 2)

x = 11√3

y = 22√3 · (√3 / 2)

y = 33

Case 10

x = √18

x = 3√2

y = √6 / (1 / 2)

y = 2√6

Case 11

x = √10

y = √20

y = 2√5

Case 12

x = 4√21 / √3

x = 4√7

y = 4√21 / (1 / 2)

y = 8√21

To learn more on special right triangles: https://brainly.com/question/14373781

#SPJ1

Answer:

C. x = 5 and y = 10

Step-by-step explanation:

60/12=5

Half the problem is solved:

100/2=50

50/5=10

I hope I helped!

500KB = 1 sec

5minutes = ?KB

5 minutes × 60 = 300seconds

300seconds × 500KB = 150000KB

The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

To learn more about the similar triangles visit:

https://brainly.com/question/25882965.

#SPJ1

Answer:

Well 51 per hour and there is 24 hours so you just multiply the two together. Which you would get get 1,224 Miles

The Taylor series formula in summation notation f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n } where f^n(a) denotes the nth derivative of f(t) evaluated at t = a.

Since the functions f(t) and g(t) have not been given in the question, I cannot provide a specific answer to this question. However, I can provide a general approach to finding the power series expansion of a function about a point.

To find the power series expansion of a function f(t) about a point t = a, we can use the Taylor series formula:

f(t) = f(a) + f'(a)(t-a) + (1/2!)f''(a)(t-a)^2 + (1/3!)f'''(a)(t-a)^3 + ...

where f'(a), f''(a), f'''(a), ... are the first, second, third, and higher-order derivatives of f(t) evaluated at t = a.

To find the first four nonzero terms of the power series expansion, we can calculate the values of f(a), f'(a), f''(a), and f'''(a) at t = a, substitute them into the Taylor series formula, and simplify the resulting expression. The first four nonzero terms will be the constant term, the linear term, the quadratic term, and the cubic term.

To find the general term of the power series expansion, we can write the Taylor series formula in summation notation:

f(t) = Σ[n=0 to infinity] { (1/n!)f^n(a)(t-a)^n }

where f^n(a) denotes the nth derivative of f(t) evaluated at t = a. The general term of the power series expansion is given by the expression in the curly braces. We can use this expression to find any term in the series by plugging in the appropriate values of n and f^n(a).

Learn more about Taylor series here

https://brainly.com/question/28168045

#SPJ11

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Fixed overheads are allocated to products on the number of litres of ice cream produced, irrespective of the size of the output. Liters Rands Expected Sales :500 ml ice cream = 60,000 litres

= 60,000 x R10

= R 600,0001 litre

ice cream = 80,000

litres = 80,000 x R 15 = R1,200,000

Total expected sales volume 140,000 litres R1,800,000 . From the given question, we are told that inventory is valued on the basis of equivalent units of inventory. Which means that two 500ml of ice cream is valued the same as one litre of ice cream. We are also told that variable overheads vary with direct labour hours. Fixed overheads are allocated to products on the number of litres of ice cream produced, irrespective of the size of the output.

Using this information we can prepare a sales budget for the company by estimating the sales volume in litres for each of the two sizes of ice cream containers and multiplying the sales volume by the respective sale price of each size. Since the number of litres is used to allocate fixed overheads, it is necessary to prepare the budget in litres as well. The total expected sales volume can be calculated by adding up the expected sales volume of the two sizes of ice cream products. The expected sales volume of 500 ml ice cream is 60,000 litres (500 ml x 0.12 million) and the expected sales volume of 1 litre ice cream is 80,000 litres (1 litre x 0.08 million). Adding up the two volumes, we get a total expected sales volume of 140,000 litres.

To know more about number visit:

https://brainly.com/question/3589540

#SPJ11