Which of the following expressions are equivalent to…I will send a screenshot of the expression I need help with.

The more appropriate domain for Han is values between 0 and 4, while the minimum surface area is 20.

Given that,

Han discovers an equation for S(r) that, in terms of the radius r in inches, yields the surface area in square inches of any cylindrical container with a particular fixed volume. If Han lets r to take on any value between -1 and 5, he will obtain the graph shown above.

The more appropriate domain to use

The function's finishing graph is added as an attachment.

We can make the following observations based on the graph.

Minimum x value = 0

Maximum x value = 4

The following is a representation of the domain of the function's graph:

Minimum x value  <=  x <= Maximum x value

Substitute the known values in the above equation

So, we have

0 <= x <= 4

0 and 4 are represents a more appropriate domain.

The minimum surface area

The graph that completes the function is added as an attachment

From the graph, we have the following observation

Minimum y value = 20

20 is the minimum surface area of the cylindrical can.

Therefore, The more appropriate domain for Han is values between 0 and 4, while the minimum surface area is 20.

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Solution

If a single die is rolled twice, we would have

The slopes of the rays of the absolute value function, y = -3·|x + 2| + 8 are 3 and -3

In an absolute value function, an algebraic expression is contained within an absolute value symbol.

The given absolute value function is; y = -3·|x + 2| + 8

The slope of the rays are found as follows;

The general form of the absolute value function is; f(x) = a·|x - h| + k

The vertex of the function is the point (h, k)

The slope of the function is a

Comparing the specified function, y = -3·|x + 2| + 8, to the general function, we get;

The vertex of the function is (h, k) = (-2, 8)

The slope of the rays of the function are; a = 3

Slope of the ray 1 = (8 - (-19))/(-2 - (-11)) = 3

Slope of ray 1 is therefore; 3

Slope of ray 2 = (8 - (-19))/(-2 - 7) = -3

The slope of the ray 2 is therefore; -3

The slope of the rays are; 3 and -3

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If Triangles ABC and DEF are similar. Side length AB is 2, side length AC is 4, and side length BC is 3 Side length DE is 1.34 then  length of  DF = 2.68 and length of  EF = 2.01

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Given,

Triangles ABC and DEF are similar.

AB = 2

AC = 4

BC = 3

DE = 1.34

We need to find the length of DF and EF

Given that ABC and DEF are similar, therefore:

AB/DE = BC/EF = AC/DF

2/1.34=3/EF=4/DF

1.49=3/EF=4/DF

Now,

1.49=3/EF

EF=3/1.49

EF=2.01

1.49=4/DF

DF=4/1.49

DF=2.68

Hence, length of  DF = 2.68 and length of  EF = 2.01

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The perimeter measures around 36 metre.

The perimeter refers to the area surrounding an object. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.

While 12.74 rounds up to 13, 5.45 rounds down to 5. Recatangle created a total of four sides, two of which are identical in length to the other two (which is a poor way to explain it). There are two sides that are 13 inches long and two sides that are 5 inches long, which is the solution to this question. When added together, the perimeter would be 13+13+5+5.

As an expression,

2(13)+2(5)

=26+10

=36.

The perimeter is approximately 36 meters.

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we will use the next formula to find the rate of change of the given interval

in our case

a=-3

b=6

then we substitute the values in the formula

The average rate of change is 10/9=1.11

Answer:

Step-by-step explanation:

You want to know the values of x and y that make the angle measures consistent with the triangles being congruent in the given figure.

The side markings show congruent triangles with corresponding vertices (and angles) ...

  L (3x+24)° ⇔ P (8x -11)°

  M 84° ⇔ Q 84°

  N (2x +y)° ⇔ R (no marking)

Corresponding angles L and P have the same measure, so ...

  3x +24 = 8x -11

  35 = 5x . . . . . . . . add 11-3x

  7 = x . . . . . . . . . divide by 5

The measures of these angles are ...

  (3(7) +24)° = 45°

The sum of the angles in each triangle is 180°, so the measure of angle N is found to be ...

  L +M +N = 180°

  45° +84° +N = 180°

  N = 51°

This lets us find the value of y from ...

  (2x +y)° = 51°

  2(7) +y = 51

  y = 37 . . . . . . . . subtract 14

The value of x is 7. The value of y is 37.

The number of oatmeal cookies when Brenda ordered 12 dozen cookies from the bakery is 18.

Since Brenda ordered 12 dozen cookies from the bakery, the total number ordered will be:

= 12 × 12

= 144 cookies

Since 1/3 of them or peanut butter 1/6 of the cookies are ice 3/8 of the cookies are chocolate, the fraction for oatmeal will be:

= 1 - (1/3 + 1/6 + 3/8)

= 1 - 7/8

= 1/8

The oatmeal cookies will be:

= 1/8 × 144

= 18

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The coordinates of the midsegment are :

T ( 0 , 2 ) where x axis 0 and y axis is 2

S ( 8 , 0 ) where x axis is 8 and y axis is 0

R ( 0 , 6 ) where x axis is 0 and y axis is 6

All the points are mentioned in the first quadrant and

The coordinates of the midsegment are :

T ( 0 , 2 ) where x axis 0 and y axis is 2 this means we move 2 units from the origin towards right and 0 units from the x axis thus the y axis is 0

Similarly you can observe for the rest of the two points

S ( 8 , 0 ) where x axis is 8 and y axis is 0

R ( 0 , 6 ) where x axis is 0 and y axis is 6

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In order to find the left, the method is

1. Divide the interval [0,50] in 99 intervals.

2. Multiply the length of the first interval by the image of the left side of that interval

3. Do the same with all of them

4. Sum all the 99 results

On the right side, just changes 2. to the right side of the interval.

After that process, you will obtain that, the left sum is -9798.99, and the right sum is -10001.01.

In sigma notation, the left sum is

The right sum is

3589.9 m is the height at which air pressure equals 65% of the air pressure at the surface of the Earth

Given: the function P(h) =P₀ e^(-0.00012h)

When air pressure equals 65% of the air pressure at the surface of the Earth. That means P = 0.65P₀

Substitute P = 0.65P₀ into the function:

P(h) = P₀ e^(-0.00012h)

0.65P₀  = P₀ e^(-0.00012h)

Dividing both sides by P₀ gives:

0.65  = e^(-0.00012h)

Take ln of both sides (ln is the inverse of e):

ln 0.65 = -0.00012h

h = ln 0.65/ (-0.00012)

h = 3589.9 m

Therefore, the height at which air pressure equal 65% of the air pressure at the surface of the Earth is 3589.9 m. Option D is the answer

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Answer:

24

Step-by-step explanation:

10 - 7(3 + 2) + 7²

10 - 7(5) + 49

10 - 35 + 49

10 - 35 = -25

-25 + 49 = 24

I hope this helps!

Natalie can line up her textbooks in 24 different ways on her bookshelf.

Natalie has a Spanish book, a biology book,  physics book, and a health text book.

So, she has a total of 4 books in her book shelf.

So, the number of positions in which the books have to be put are four.

As we can see,

The books are only one in number each. So, the choices are not repeatable.

So,

In first position we have four choices, in third we will be left with three choices, in the seconds position we will have a total of two books as choice and in the last positive we have to put the book that is left.

So, the total different ways in which she can line up her books in the bookshelf are,

= 4×3×2×1

= 24

So, there are 24 different ways possible.

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To determine the required slope intercept form, take the heartbeat as varible y and time as varible x.

Now select any two coordinates from the table.

Take (2,3) and (4,6).

Use the two point form,

Thus, y=1.5x is the requried form of the line.

Answer:

[tex]7a {b}^{3} [/tex]

Step-by-step explanation:

[tex]42 {a}^{5} {b}^{3} = 2 \times 3 \times 7 \times a \times a \times a \times a \times a \times b \times b \times b[/tex]

[tex]35 {a}^{3} {b}^{4} = 5 \times 7 \times a \times a \times a \times b \times b \times b \times b[/tex]

[tex]42a {b}^{4} = 2 \times 3 \times 7 \times a \times b \times b \times b \times b[/tex]

We see that 7, a, and b^3 are common factors, so the GCF is

[tex]7a {b}^{3} [/tex]

Answer:

$10.5/hr

Step-by-step explanation:

210/20=10.5

The given expression is represented in scientific notation as (1.77 × 10⁶).

What do we mean by scientific notation?

So, the given expression in scientific notation:

Therefore, the given expression is represented in scientific notation as (1.77 × 10⁶).

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Correct question?

2.2⋅10^6 −4.3⋅10^5 scientific notation

Solution

we need to convert the following expression:

four less than half a number n

Then the best answer is:

10" tall

1) Gathering the data

2 weeks 5 weeks

18" tall 30" tall

2) Let's find the initial height of that sunflower since it is not a proportional growth we need to find it through a linear function.

(Since 30/5 = 6 and 18/2=9)

After finding the slope m, let's find the linear coefficient

y=mx +b

18 =2(4) +b

18= 8 +b

18-8=b

b=10

So the rule of that function is y=4x +10

3) Now we can find the initial height. Plugging x=0, where x is the number of weeks we have:

y = 4x +10

y=4(0) +10

y= 10

So the sunflower was 10" tall on the day it was planted.

Answer:

Equation of the line is 6x−y+8=0.

So I think Its A

Step-by-step explanation:

I rlly hope it helps u lol

Answer:

a = 16 - b - c

Step-by-step explanation:

8 = (a + b + c) ÷ 2

×2 on both sides to cancel out ÷

16 = a + b + c

- b - c to cancel out +

a = 16 + b + c

Question:

Which point is on the graph of

A) (1,10)

B) (10,1)

C) (0,10)

D) (0,0)

Answer:

Remember that for any given point to be on the graph of a function, it has to satisfy the equation of such function.

Remember we can change

For

Let's check if point A satisfies this expression:

Because point A satisfies the equation, we can assure it is also on the graph of the function.

(You can check that any other option is incorrect because none of those points satisfy the equation of the function)

Answer:

D

Step-by-step explanation:

Two of the same X's

If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.

Commission = 8 % of sales

Commission =($2,500)(0. 08)

Commission =$ 200

If yuvia also earns a base salary of $45 per day,

Total salary = base pay + commission].

Total salary =45 +200

Total salary =$245

f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.

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Answer:

[tex] - 120[/tex]

that would be your answer thank you very much

Given the system of equations. We have:

- For (5,0)

Substitute x = 5 and y = 0 in the equations:

Answer: No

- For (-7, -8)

x = -7 and y = -8

Answer: No

- For (3, -4)

This is satisfied for the first equation but not for the second. Therefore it is not a solution to the system.

Answer: No

- For (-2, -2)

Answer: No

The expression which is equivalent to fog(x), is

fog(x) = 3x² + 5

Given, the functions f(x) and g(x), as follows

f(x) = 3x + 2 and g(x) = x² + 1

Now, we have to find the fog(x),

fog(x) = 3( x² + 1 ) + 2

fog(x) = 3x² + 3 + 2

fog(x) = 3x² + 5

So, the value of fog(x) = 3x² + 5

Hence, the expression which is equivalent to fog(x), is

fog(x) = 3x² + 5

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The rate of cahne of rate with respect to bags is.

Therfore, the rate is 30.

Since, the slope of the graph is positive. The variation is direct.

The standard form of the equation of the line

The equation of the line can be expressed in several forms. One of them is the standard form:

Ax + By = C

Where A, B, and C are constants, and x and y are the variables.

We have the equation:

Multiplying by 3:

Subtracting 4x:

Is the required standard form of the line