What’s the total distance he travels

Answer:

the equation for the ellipse that describes the arch is:

(x^2/20^2) + (y^2/6^2) = 1

Step-by-step explanation:

An ellipse can be represented by the equation (x^2/a^2) + (y^2/b^2) = 1, where a and b are the lengths of the semi-major and semi-minor axes of the ellipse, respectively. In this case, the x-axis coincides with the water level and the y-axis passes through the center of the arch, so the center of the ellipse is at the point (0, 6).

For the arch in question, the semi-major axis is 20 meters (since the arch spans a river 20 meters wide) and the semi-minor axis is 6 meters (since the center of the arch is 6 meters above the center of the river).

So the equation for the ellipse that describes the arch is:

(x^2/20^2) + (y^2/6^2) = 1

Answer:

7(5-2)+6

Step-by-step explanation:

difference - subtraction

putting the 7 next to it means that it will multiply times that first

  The functions is Set A and Set B.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

A relation in a set is said to be a function, if every first element of an ordered pair in a set is  related with a unique element of a second element.

No, two distinct second elements of an ordered pair, has the same first element.

For, example, {(1,2), (1,3), (4,5)}, is not a function, but it is a relation.

In Ordered pair, (x, y)

x=First Element

y= Second Element

→In Set A

First Element              Second Element

1                                           3

-1                                           5

6                                          4

Every First  element of set A has a unique second element. So, it is a function.

→In Set B

First Element              Second Element

2                                          0

4                                          6

-4                                          5

0                                          0

Every First  element of set B has unique second element and no two distinct Second element of set B, has same first element. So, it is a function.

→In Set C

First Element              Second Element

1                                           1

0                                          2

0                                          3

-3                                          5

As, two same first elements of set C has distinct second element. So, it is not a function.

Therefore, Set A and Set B, are functions .

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The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

A durable power of attorney. A Power of Attorney is a legal document that appoints an “Agent” to represent you and handle specific issues for you. Depending upon the terms of the Power of Attorney, your Agent could be authorized to make financial and health care decisions on your behalf. Hope this helps.

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:4

2+2=4 if I have two apples and pick up two more I now have 4 total

Answer:

25

Step-by-step explanation:

five x three is 15 and 2 times 5 is 10 add them together to get the total change.

Answer:

A. 2.8 kg.

Step-by-step explanation:

We have been asked to convert 100 oz to kg.

We know that 1 oz equals 28.4 g.

First of all, we will multiply 100 by 28.4 g to convert 100 oz to grams as:



Now, we will divide 2840 gm by 1000 to convert it in kg as:



Therefore, 100 oz equals 2.8 kg and option A is the correct choice.

answer by(ApusApus in brainly)

Answer:

the answer is 1.3x + 2 ≥ 20

Step-by-step explanation:

the tree is already 2ft which mean it would need to be added to the rate of growth, 1.3 by the amount of year to find out the height. The question is saying however that I can be at least 20ft. so no less than 20 which is why the greater or equal to sign is used (≥)

Answer: 7.2x = 4,000.

Step-by-step explanation:

If cost is represented by C(x) = 2.2x + 4,000 and revenues are represented by R(x) = 9.4x, the break-even point occurs when the cost equals the revenue, or C(x) = R(x). We can substitute the given equations into this expression and solve for x:

2.2x + 4,000 = 9.4x

7.2x = 4,000

x = 4,000 / 7.2

Therefore, the equation that could be used to find the break-even point is 7.2x = 4,000.

The piecewise function for this problem is defined as follows:

B.

The function is a piecewise function, as the function has different definitions based on the input of the function.

The different definitions for the graph are given as follows:

To the left of x = 0, we have a linear function with intercept of 2 and slope of 2, hence it is given as follows:

y = 2x + 2, x ≤ 0.

To the right of x = 0, we have a linear function with intercept of 4 and slope of -4/3, hence it is given as follows:

y = -4/3x + 4, x > 0.

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Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2

Answer: 30g+18h-3

Step-by-step explanation:

3(10g+6h-1)

30g+18h-3

As we can see that for the value of -4 have two different values 2 and 8. So the given function is represents a function.

In the given question we have to determine if the following represents a function.

The given function points are:

n ={(-4,2),(0,9),(-4,8),(4,5),(-1,10)}

As we know a function is a relationship between two sets of variables in which one variable depends on another.

So one value of function represents only one output. It can not give different output for one input.

But as we can see that for the value of -4 have two different values 2 and 8. So the given function is represents a function.

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The right question is:

Determine if the following represents a function.

n ={(-4,2),(0,9),(-4,8),(4,5),(-1,10)}

The students in 8th class who choose music are 16 in number,

The students in 7th class who choose music are 32 in number

The total who choose world language is 270

The totals who are in 7th grade be 194

The number of students who choose world language in 7th class are 162

Let x be the students in 8th class who choose music

x+108=124

x=124-108

x=16 students

Now  y be the students in 7th class who choose music

16+y=48

y=48-16

y=32

Let z be the total who choose world language

48+z=318

z=318-48

z=270

Now the totals who are in 7th grade be A

124+A=318

A=318-124

A=194

B be the number of students who choose world language in 7th class

Now 32+B=194

B=194-32

B=162

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There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

\(x=11\)

Step-by-step explanation:

It is a linear pair

\(7x + 12 + 8x + 3 = 180\)

\(15x + 15 = 180-15\\15x = 165\)

\(x=11\)

The surface area of the given composite figure is: 484.38 cm²

The formula for the area of a rectangle is:

Area = Length * Width

The formula for the area of a square is:

Area = side * side

The surface area is simply the area of each of the surfaces of the figure.

Thus, surface area of the given composite figure is:

4(13 * 10) + (10 * 10) + (10 * 10) - 3π(5²))

= 484.38 cm²

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The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.

The given statement is: "If x equals 3, then 2b + 5 equals 11."

Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."

The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.

The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.

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Answer:

7w

Step-by-step explanation:

Answer:

7w

Step-by-step explanation:

You can combine the like terms! Sine all the terms end with a w, you can add them all together! w is essentially 1w, so 1w+1w+5w is 7w! (1+1+5=7)

Answer:

x = 60

Step-by-step explanation:

The 60° angle and angle x both have 2 marks, so they are congruent.

x = 60

Answer:

9/10

Step-by-step explanation:

Combined usually means to add. You only add the top.

Answer:

9/10 okqkwlqlakwlwlaka

Answer:

Answer:

20 feet

Step-by-step explanation:

9+26=35

55-35=20

The third side is 20 feet

Isolate the variable from each equation to find the solution. If the algebraic process leads to an identity, all real numbers are solutions. If the algebraic process leads to a contradiction, there is no solution.

Part 1)

Therefore, the solution is: u=4.

Part 2)

Therefore, there is no solution.

The average velocity during [1,2] time period is 6cm/s.

This looks like an exercise that's building toward the idea of a derivative.

These calculations are done best with a calculator, but here's how the first interval is used:

Average velocity = (position at 2 - a position at 1) / (2 - 1)

It's really distance divided by time!

Position at t = 2: 4sin(2\(\pi\))+3cos(2\(\pi\))=4(0)+3(1)=3

Position at t = 1: 4sin(\(\pi\))+3cos(\(\pi\))=4(0)+3(-1)=-3

So over the interval [1, 2], the average velocity is \(\frac{3-(-3)}{2-1} =\frac{6}{1} =6\)

∴ Average velocity=6cm/s

I used a spreadsheet to calculate the average velocity over the other intervals and a couple of shorter ones, too.  (See attached image.)

As these intervals get shorter (the right endpoint is approaching 1), the average velocity gets closer and closer to the instantaneous velocity. An estimate would be -12.6.

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Kristin left with the 10% of the savings when she spends thirty percent of her savings on a watch and sixty percent on a dress.

Given that,

Kristin spends thirty percent of her savings on a watch and sixty percent on a dress.

We have to find what portion of her savings is still available.

We know that,

Kristin spends thirty percent of her savings on a watch.

Sixty percent on a dress.

The money she has a 100%  in that if she spend 30% on watch she get 70% then if she spend 60% on dress she will have 10%

Therefore, Kristin left with the 10% of the savings when she spends thirty percent of her savings on a watch and sixty percent on a dress.

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Answer: D = √2

(please respond if im wrong)

Step-by-step explanation:

The fold is made along BE. A folds onto A′.

A′B = AB =√2 ⇒ A′C = 1

(by Pythagoras)

ΔA′BC

is therefore a right-angled isosceles triangle.

⇒∠BA′C=45∘ ⇒∠EA′D=45∘

⇒ ED = A′D = √2−1

Answer:

7.8

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 26.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 26 = 100%.

Step 4: Similarly, X = 30%.

Step 5: This results in a pair of simple equations:

26 = 100% (1).

X = 30%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both equations have the same unit (%); we have

26

100% 30% X

Step 7: Again, the reciprocal of both sides gives

x/26 = 30/100

⇒X= 7.8

Therefore, 30% of 26 is 7.8

Answer:

It normally refers to a rational number that can be expressed as fraction whereas an irrational number cannot be expressed as a fraction.

Step-by-step explanation:

Put the decimal point to the right to make the divisor a full number if it isn't already. The dividend's decimal point should likewise be moved the same number of spaces to the right (adding some extra zeros if necessary.)

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