If my math teacher asked me what's 5÷10+2-9 what would the answer be ?? ​

The diagonal of a rectangle with a width of 12 units and a length of 16 units is 20 units

From the question, we are to determine the length of the diagonal of the rectangle

From the given information,

The width of the rectangle is 12 units

and

The length of the rectangle is 16 units,

The diagonal, D, of a rectangle is given by

D = √(l² + w²)

Where l is the length of the rectangle

and w is the width of the rectangle

l = 16

w = 12

Thus,

The diagonal of the rectangle is

D = √(16² + 12²)

D = √(256 + 144)

D = √400

D = 20

Hence, the diagonal is 20 units

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Answer:

Step-by-step explanation:

Its A

Answer:A

Step-by-step explanation:A cylinder with 8 units.

Answer: 1/2

Step-by-step explanation:

slope is rise over run (up and down over left to right)

The population of the state 2,000 is 18.5 Million. And the time at which the population of the state reaches 26.6 million will be 2.126 years.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The equation is given below.

[tex]\rm A = 18.5 \times e^{0.1708\times t}[/tex]

The population of the state in 2,000 is calculated as,

[tex]\rm A = 18.5 \times e^{0.1708\times 0}[/tex]

A = 18.5 × e⁰

A = 18.5 Million

The time at which the population of the state reaches 26.6 million will be given as,

[tex]\rm 26.6 = 18.5 \times e^{0.1708\times t}\\\\1.4378 = e^{0.1708\times t}[/tex]

Take natural log on both sides, then we have

0.1708 × t = ln 1.4378

t = 2.126 years

The population of the state 2,000 is 18.5 Million. And the time at which the population of the state reaches 26.6 million will be 2.126 years.

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The requested value of f(4) is -10.

What is an expression?

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Here, we have

Given:  f(x) =(7x+7, if x ≤ 0

2-3x, if 0 =X, if x ≥ 3

f(4) means the value of f(x) when x = 4.

Which expression on the right applies when x = 4?  

The first one because it applies only when x ≤ 0 and

The last one because it applies when x ≥ 3 and 4 is greater than 3.  The answer is the last expression.

since 4 lies between 0 and greater than

f(4) = 2 - 3(4)

f(4) = -10

Hence, the requested value of f(4) is -10.

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By using the concept of function, it can be calculated that-

(g.f)(x) = 8x - 5

(g - f)(x) = -2x - 5

(g + f)(3) = 13

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here,

a) The given functions are

   f(x) = 4x

  g(x)= 2x - 5

  (g.f)(x) = g(f(x)) = 2(4x) - 5 = 8x - 5

   (g - f)(x) = g(x) - f(x) = 2x - 5 - 4x = -2x - 5

    (g + f)(x) = g(x) + f(x) = 2x - 5 + 4x = 6x - 5

     (g + f)(3) =  6 [tex]\times[/tex] 3 - 5 = 13

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Some answers are correct, but not all.  These are ones that need fixing.

2a.  

[tex]\lim_{x\rightarrow-2^-}f(x) = 0[/tex] because as you come towards x = –2 from the left, your y-values are getting closer to 0.

2b.

[tex]\lim_{x\rightarrow-2^+}f(x) = 1[/tex] because as you come towards x = –2 from the right, your y-values are getting closer to 1.

2e.

[tex]\lim_{x\rightarrow5}f(x) = -1[/tex] because as you come towards x = 5 from both sides, your y-values are getting closer to -1.

3a.

[tex]\lim_{x\rightarrow3^-}f(x) = -1[/tex] because as you come towards x = 3 from the left, your y-values are -1.

[tex]\lim_{x\rightarrow3^+}f(x) = 1[/tex] because as you come towards x = 3 from the right, your y-values are 1.

[tex]\lim_{x\rightarrow3}f(x)[/tex] does not exist, since those two one-sided limits aren't don't agree.

3b.

[tex]\lim_{x\rightarrow0^-}f(x) = -\infty[/tex] because as you come towards x = 0 from the left, your y-values are getting huge in a negative way.

[tex]\lim_{x\rightarrow0^+}f(x) = \infty[/tex] because as you come towards x = 0 from the right, your y-values are getting huge in a positive way.

The required intersection of the two sets A and B is given as A∩B = [8, 5, 0].

Given that,
Let A={9,8,3,0,5} and B={8,4,7,5,0}. The intersection of A and B is to be determined.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

here,
P[PUB] = {9,8,3,4,0,5,7} = 7
P[A∩B] = P[A] + p[B] - P[AUB]
P[A∩B] = 5 + 5 - 10
            = 3
From accumulating the common elements between the sets,
A∩B = [8, 5, 0]

Thus, the required intersection of the two sets A and B is given as A∩B = [8, 5, 0].

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The population of the city in 2000 = 23.1 million

In 2006 the population will be equal to 28.3 million

Compound interest may be used in a variety of situations, including increasing or decreasing population, Increasing the count of bacteria increasing an item's value, and a decrease in an item's worth.  

The formula for Compound interest is given by

Where P = Principal amount or Initial value

r = rate of interest or increase

t = time period

Here we have

The formula [tex]A = 23.1 e^{(0.0152t)}[/tex] represents the population of a US state, A, in millions, 't' years after 2000.  

Here we need to solve the following questions

a. What was the population of the state in 2000

Compare the given formula with A = Pe^rt  

=>  [tex]23.1 e^{0.0152t} = Pe^{rt}[/tex]    

=> Initial value or initial population, P = 23.1 and

rate of increase r = 0.0152  

Therefore,

The population of the city in 2000 = 23.1 million

b. When will the population of the state reach 28.3 million?

As we know in 2002 the population = 23.1 million

Let's assume that after 'n' year the population will become 28.3 million

As we know Rate of increase = 0.0152    

From the given formula

Population of the city after n, A = 23.1 e^(0.0152n)  

As we assumed the population after n years = 28.3

=>  23.1 e^(0.0152n)  = 28.3

=> e^(0.0152n)  = 28.3/23.1

=> e^(0.0152n) = 1.225  

Apply log on both sides

=> log e^(0.0152n) = log 1.225  

=> 0.0152n log e = log 1.225  

=> 0.0152n (1) = 0.0881    

=> n = 0.0881/0.0152

=> n = 5.8 ≅ 6

After 6 years the population will be 28.3 million

After 6 years i.e 2000 + 6 = 2006  

Therefore,

In 2006 the population will be equal to 28.3 million

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Answer:

1st

Step-by-step explanation:

-400 degrees can also be seen as positive 40 degrees

Answer:

Below

Step-by-step explanation:

$ 5   for the first one   <=== a fixed constant ....admission charge

.25  per minute   <===== charges dependent on the number of minutes

Answer:

pls rate brainliest

Step-by-step explanation:

the entrance fee to the skating rink=$5

each minute the skater uses the rink costs=$0.25

HOPE IT HELPED YOU

Answer: 2

Step-by-step explanation:

Answer: 4 2/3

Step-by-step explanation:

Answer:

B) Elias sold one-fourth the number of books Lena sold.

Step-by-step explanation:

How is this the answer? Well after I looked at the problem again, I realized what I needed to do. I needed to do 4,832*1/4 which is 1208.

I got this from the line that says "Elias sold 4,832 times one-fourth copies"

I hope this helps!!!!

The number of acres owned for which the average intake is 2200 calories per day is 2 acres obtained by the algebraic expression that relates the acres of land and the calories per day.

It is given that, the number of calories consumed daily by a person owing x acres of land is given by the algebraic expression,

C(x) = 270 ln(x+1) + 1900

The average intake of calories consumed per day is given by C(x) = 2200

Here x is the number of acres of land. Then, the required number of acres of land is

C(x) = 270 ln(x+1) + 1900

⇒ 2200 = 270 ln(x+1) + 1900

⇒ 270 ln(x+1) = 2200 - 1900

⇒ 270 ln(x+1) = 300

⇒ ln(x+1) = 300/270 = 10/9

Applying base 'e' on both sides, we get

⇒ (x+1) = [tex]e^\frac{10}{9}[/tex]

⇒ x+1 = 3.0377

⇒ x = 3.0377 - 1 = 2.0377

When rounding the final answer to the nearest tenths, we get x = 2 acres.

When rounding the final answer to the nearest thousand, we get x = 2.038 acres.

Thus, for an average intake of 2200 calories per day, the number of acres of land owned is approximately 2 acres.

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The value of each variable iS

x = 6

y = 4

What is angle bisector theorem?

The angle bisector theorem in geometry is concerned with the proportions of the two segments that a line that bisects the opposite angle divides a triangle's side into. It compares their proportional lengths to the proportional lengths of the triangle's other two sides.

Apply the angle bisector theorem to solve for x and y respectively.

✔️4/(9 - x) = 8/x

Cross multiply

4*x = 8(9 - x)

4x = 72 - 8x

Add 8x to both sides

4x + 8x = 72

12x = 72

12x/12 = 72/12

x = 6

✔️y/2 = 6/3

Cross multiply

3*y = 6*2

3y = 12

3y/3 = 12/3

y = 4

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Rotating the area bounded by the given curves around the designated line yields the solid's volume as [tex]V = \frac{9}{22}\pi[/tex]

The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere. Different forms have various volumes.

The amount

of space that a solid occupies is measured by its volume. The amount of unit cubes required to completely fill the solid serves as the measurement. The capacity of an object to hold matter is generally thought of as its volume in three dimensions.
The functions provided are,

[tex]`y = f(x) = \sqrt{x}``y = g(x) = x^5`[/tex]

By rotating the area around the x-axis, the solid's volume is given by (using washer method)
[tex]V = \pi int_a^b [f^2(x)-g^2(x)]dx[/tex]
evaluate the integral, limit the plugins, and
[tex]V = \pi int_0^1 [(\sqrt{x})^2-(x^5)^2]dx\\\\V= \pi int_0^1 [x-x^10]dx V = \pi [\frac{x^2}{2}-\frac{x^11}{11}]_0^1 V = \pi [\frac{1^2}{2}-\frac{1^11}{11}]. V = \pi [\frac{1}{2}-\frac{1}{11}] = \frac{9}{22}\pi[/tex]

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The volume of the described solid is V = 16r³/3

Given,

A solid line S should be drawn between z=a and z=b. If S has a cross-sectional area of Px through x and is perpendicular to the x-axis, then A (x)

Volume of S = limₙ→∝ ∑i=₁ⁿ A(xi) Δx = [tex]\int\limits^b_a {A(x)} \, dx[/tex]

The equation of circle x² + y² = r² where r is the radius of the circle.

Equation of upper semicircle yu= √(r²-x²)  and

Equation of lower semicircle yl = -√(r²-x²)

Area of cross-section A(x) = (yu² - yl²)

Substitute yu and yl values

A(x) = [√(r²-x²) - (-√(r²-x²) )]² = 4(r² -x²)        (1)

The limit for volume v varies from -r to r

Thus Volume v = ₋[tex]\int\limits^r_r {A(x)} \, dx[/tex]

Substitute A(x) from (1)

V = ₋[tex]\int\limits^r_r {4(r^{2}-x^{2} ) } \, dx[/tex]

⇒V = 4[r²x - x³/3 ]

⇒V = 4(r³ - r³/3) - 4(-r³ + r³/3) = 4[2 (r³ - r³/3)] = 16r³/3

The volume of the described solid S where the base is a circular disk or radius r and parallel cross sections perpendicular to the base are squares is V = 16r³/3

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The term which are not constant are;

⇒ 32pq², - 4p²q, 12 pq

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

⇒ 32pq² - 4p²q + 12pq - 7

Now,

We know that;

In the algebraic expression the constant term has no variables.

Thus, The term which are not constant are;

⇒ 32pq², - 4p²q, 12 pq

Therefore, The term which are not constant are;

⇒ 32pq², - 4p²q, 12 pq

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Answer: 2 or 1?

Step-by-step explanation:

3^1 = 3 then 3 - 1 = 2

or 3^(1 - 1) then 3^0 = 1

Answer:

$74.96 if rounding to hundredths place.

Step-by-step explanation:

If you are looking for the total amount spent, first we will convert 2 3/4 into a decimal, which is 2.75. 2.75 X 19.50 = 53.625. She bought 53.525 dollars worth of blue paint, now we solve for orange. 1 1/3 X 16 = 64/3, which is simplified to 21 1/3. If we add the two togetherwe get 74.9583, but the 3 is repeated. If you are asked to rount to the 100th place, the asnwer is $74.96. If you are rounding to nearest dollar, it is about $75.

Hope this helped :)

Answer:5

Step-by-step explanation:

5 2 . 3 8

5= tens

2= ones

3= tenths

8= hundreths

The linear expression 6(y + 2) + 9 in the simplified form will be 6y + 27.

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

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear expression is given as,

⇒ 6(y + 2) + 9

Simplify the expression, then we have

⇒ 6(y + 2) + 9

⇒ 6y + 18 + 9

⇒ 6y + 27

The linear expression 6(y + 2) + 9 in the simplified form will be 6y + 27.

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Answer:

I believe it is positive although I am not 100% sure.

Step-by-step explanation:

The arrows tend to go upwards even though it does have a curve at the bottom. It is still going upwards.

Answer:

1= 50

2=1,16

Step-by-step explanation:

because it not have graph

A balloon payment is a one-time, large-scale principal payment made near the end of the loan term.

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