10. Find the values of x, y, and z in the diagram below.

Answer: Answer is 1

Step-by-step explanation:

edge

True

6 x 3 = 18 square feet. which is the surface area of the room.

so john will have 2 square feet to spare

The statement is false. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). It includes only the values of x for which both g(x) and f(g(x)) are defined.

The statement is False. The domain of the composite function (f◦g)(x) is not always the same as the domain of g(x). In a composite function (f◦g)(x), the domain includes only the values of x for which both g(x) and f(g(x)) are defined.

For example, if g(x) = sqrt(x) and f(x) = 1/x, the domain of g(x) would be all real numbers x ≥ 0, but the domain of the composite function (f◦g)(x) = 1/sqrt(x) would be x > 0, because 1/sqrt(x) isn't defined for x = 0.

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The answer is:  [C]:  " f(x) = 0.7(5)ˣ " .

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 Explanation:

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From all the answer choices given; 

Answer choice:  [C]:  "  f(x) = 0.7 (5)ˣ " ;  is the answer choice with a "positive number"; {which is then multiplied by: [ a "positive whole number" or a "positive number greater than "1"; that is raised to a "positive variable"] .

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How I solved this:  Further Explanation:

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A positive number multiplied by a {"number less than 1; raised to "x"] would result in increasingly lower values as "x" increases. Same with "raised to "negative x" {refer to "Answer choice [D]" }.

Answer:

The answer is:  [C]:   f(x) = 0.7(5)ˣ

Step-by-step explanation:

Answer:

answer is 180 degrees

Step-by-step explanation:

180 degrees has the Ferris wheel rotated

Rotation is the circular movement of an object around an axis of rotation.

Given:

There is ferries wheel when we board on ferris wheel it will be considered as 0 degree.

but when the ferris wheel stop to get more riders on at that time we are vey top.

So, we have covered half of the complete angle i.e., 180 degree

Hence, the ferris wheel cover 180 degrees.

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Answer:

it's 2.125

Step-by-step explanation:

The required speed of family's paddling speed in still water is 2.125 mi/h.

Given that,
A family is canoeing (with the current). Their speed relative to the banks of the river averages 2.75mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relatives to the riverbank.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

Here,
Let the speed of the family on still water be x,
Speed of the current be y
According to the question,
upstream speed,
1.5 = x - y  - - - - - (1)
Downstream speed,
2.75 = x + y - - - - - (1)

Solving equations 1 and 2 givens,
2x = 4.25
x = 2.125 mi / h

Thus, the required speed of the family paddling speed in still water is 2.125 mi/h.

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I did this question already. The answer is 2

The equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Gordon recently started jogging. Last week he jogged for 16 minutes.

Let x be the number of weeks

and y represents the total number of minutes Gordon walks

From the given data the linear equation can be framed as follows:

y = 7x + 16

Thus, the equation y = 7x + 16 represents how long his jog will be after x additional weeks option (B) is correct.

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1. any number times2 then subtracted by the same number can't = 0 , so it is Null Set

2. 2^2 = 4 +12 = 16, 8*2 = 16, answer is 2

Final answer:

To express the ratio of 7 meters to 250 centimeters in its lowest terms, convert both to the same unit and simplify. 7 meters is 700 centimeters, leading to an initial ratio of 700:250, which simplifies to a final ratio of 14:5.

Explanation:

To state 7m to 250cm as a ratio in its lowest terms, we need to convert them to the same unit. One meter is equivalent to 100 centimeters, so 7 meters is the same as 700 centimeters.

Now we can write the ratio as 700 cm : 250 cm, which can be simplified by dividing both terms by 250 cm (the greatest common divisor of both numbers).

The simplified ratio is 700÷ 250 : 250÷ 250, which simplifies to 7 : 2.5. Since we want the ratio in its lowest terms with whole numbers, we can multiply both terms by 2 to eliminate the decimal, resulting in a final ratio of 14 : 5.

1. 2 and 7 are equal

2. angle 1 = 68 degrees

3. 1st answer

The total cost of the boat after six years is $6,616.44.

To find the total cost of the boat after six years, we need to calculate the interest paid on the loan over that period of time.

The loan amount is $9,640 with an interest rate of 9.4% per year.

Since the loan is for six years, we multiply the loan amount by the interest rate and the number of years: $9,640 × 0.094 × 6 = $5,441.44.

Adding the down payment of $1,175 to the interest paid on the loan, we get the total cost of the boat after six years: $5,441.44 + $1,175 = $6,616.44.

Answer:

40%

Step-by-step explanation:

Final answer:

The ratio of cups of rice to cups of water in the recipe is 2 to 3, which can also be written as 2/3.

Explanation:

The question asks us to find the ratio of cups of rice to cups of water. The recipe provided uses 2 cups of rice and 3 cups of water. To find this ratio, we simply compare the number of cups of rice to the number of cups of water and write it as a fraction or a division problem.

In this case, the ratio is:

2 cups of rice : 3 cups of water

Which we can also write as 2/3 or say that for every 2 cups of rice, there are 3 cups of water.

Answer:

Therefore the roots of equation 1 are 1,3 1/2,-i,+i

Step-by-step explanation:

in this question we have given

[tex]f(x) = 2x^5 - 9x^4 + 12x^3 - 12x^2 + 10x - 3 = 0[/tex].......1

we have to find the roots of this equation

put x=1 in equation 1

[tex]f(1)=2-9+12-12+10-3\\f(1)=0[/tex]

It means x=1 is root  of equation 1

now put x=3 in equation 1

[tex]f(3)=2\times3^5-9\times3^4+12\times3^3-12\times3^2+10\times3-3\\f(3)=0[/tex]

therefore,x=3 is root of equation 1

Now put x=[tex]\frac{1}{2}[/tex] in equation 1

[tex]f(\frac{1}{2})=2\times (\frac{1}{2} )^5-9\times(\frac{1}{2})^4+12\times(\frac{1}{2})^3-12*(\frac{1}{2})^2+10\times \frac{1}{2}-3\\f(\frac{1}{2})=0[/tex]

It means x=[tex]\frac{1}{2}[/tex] is also root of equation 1

therefore equation one can be written as

[tex]f(x)=(x-1)(x-3)(2x-1)(x^2+1)[/tex]

therefore remaining 2 roots can be calculated by solving

[tex]x^2+1=0\\x=\sqrt(-1)\\x=i,-i[/tex]

Therefore the roots of equation 1 are 1,3 1/2,-i,+i