x=20
(Type a whole number.)
(x+21)° =
(Type a whole number.)

Answers

Answer 1

The whole number for the value (x + 21) is 41.

what is a whole number ?

All integers starting from 0 are called whole numbers. The opposite of their corresponding positive numbers, the negative numbers are additive. The blackboard bold math Z or boldface Z is a common way to represent the set of integers in mathematical terminology.

given,

       x = 20

then by putting the value of x = 20 in

       (x + 21)°      we get,

     = (20 + 21)°

     = 41°

Hence, the whole number of (x + 21) is 41

 

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Related Questions

A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 19 ​minutes, and then flies directly back to the hive at 16 feet per second. It is away from the hive for a total of 21 minutes?

Answers

The distance is  mathematically given as

D=1066.66667

What is the time function?

The TIME function is included as part of Excel's Date and Time features. With the assistance of TIME, we are able to create a time by employing various components for the hours, minutes, and seconds.

While conducting financial analysis, it's possible that we'll need to date a report. Under these conditions, the TIME function may be used to convert a text string into a format that presents the time as a decimal representation of the seconds, minutes, and hours. Additionally, the function's capabilities include the ability to merge several values into a single time value.

formula= TIME (hour, minute, second)

distance = rate X time

D = RT

T = D/R

20 feet per second = 1200 feet per minute

16 feet per second = 960 feet per minute

(D/R) + 19 + (D/R) = 21

(D/R) + 19 + (D/R) = 21

(D/1200) + 19 + (D/960) = 21,

This is the equation we can use to find the distance from the flowerbed to the​ hive.

(D/1200) + (D/960) = 2

(D(1200)(960))/1200 + (D(1200)(960))/960 = 2(1200)960

960D + 1200D = 5(1200)960

2,160D = 2304000

D=1066.66667

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Solve each equation.
2³x=4x⁺¹

Answers

Solution of exponential equation  is , x=2

What is exponential equation ?

In, mathematics a exponential equation or exponential function is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa is also possible . The basic form of the exponential function can be written as   .

   [tex]a^n = x[/tex]

where, a = the base of function

            x = main expression

            n = exponential

Mathematically, if  [tex]log_ax = n[/tex] is an logarithmic function then, this can be converted to exponential function as    [tex]a^n = x[/tex] .

There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.

According to given statement,

2^3x = 4^(x+1)

the equation can also written as :

[tex]= > 2^{3x} = 2^{2(x+1)}\\= > 3x = 2(x+1)\\= > 3x = 2x +2\\= > x=2[/tex]

Thus solution for this equation is  x = 2.

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The complete question is :

Solve each equation.

[tex]2^{3x} = 4^{(x+1)}[/tex]

What is the average rate of change of 2|x| on the interval [-3, 5].

Answers

The average rate of change of 2|x| on the interval [-3, 5] is 0.5

How to determine the average rate of change of 2|x| on the interval [-3, 5]?

The function is given as

2|x|


Rewrite as

f(x) = 2|x|

The interval is given as

[-3, 5]

So, we have

f(-3) = 2|-3| = 6

f(5) = 2|5| = 10

The average rate of change of 2|x| on the interval [-3, 5] is then calculated as

Rate = (f(5) - f(-3))/(5 --3)

This gives

Rate = (10 - 6)/(5 --3)

Evaluate

Rate = 0.5

Hence, the average rate of change of 2|x| on the interval [-3, 5] is 0.5

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Paris went to the store with $20. She bought a Gatorade for $2.50, and three packs of gum. If she leaves with
$12.43, how much was each pack of gum? Be sure to define a variable, and write an equation.

Answers

Answer:

Each pack of gum was 1.69

Step-by-step explanation:

20 - 2.50 = 17.50

17.50 - 12.43 = 5.07

5.07/3 = 1.69

Using the quadratic function represented by the graph below and answer the following
questions.

Answers

The vertex is (2,-3)So the Answer isY=(x-2)-3

The sum of two consecutive numbers is 85, find the numbers

Answers

Answer:

85

Step-by-step explanation:

Consecutive numbers are numbers that follow each other in order. The two consecutive numbers are 42 and 43.

42+43=85

Answer:

42 & 43

Step-by-step explanation:

Let the two consecutive numbers be x and x+1 .

Here it is given that the sum of two consecutive numbers is 85.

So we get the equation,

x + (x+1) = 85

We get,

x + x + 1 = 85

2x + 1 = 85

Transposing +1 to RHS,

2x = 85 - 1

2x = 84

Transposing 2 to RHS,

x = 84 ÷ 2

Therefore, we get x = 42

Therefore, the two numbers are x and x+1, so they are: 42 and 43.

I hope this helped you! Pls mark me brainliest! Have a great day! <3


Sam will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $65 and costs an additional $0.30 per mile driven. The
second plan has no initial fee but costs $0.80 per mile driven. How many miles would Sam need to drive for the two plans to cost the same?

Answers

Sam would need to drive for the two plans to cost the same is 130 miles.

Let, x = Number of miles driven

      y = Total cost

The first plan:

Initial fee = $65

Cost of 1 mile = $0.3

Cost of drive x mile = $0.3x

In total, you will pay

y = 0.3x + 65 for the first plan.

The second plan:

There are no initial costs, but

Cost of 1 mile = $0.80

y = 0.80x

Now we have two equations

y = 0.3x + 65

y = 0.80x

As we know that y is equal to both 0.3x + 65 and 0.80x, this means we can equate the right hand sides and solve for x.

    0.3x + 65 = 0.80x

0.80x - 0.3x = 65

            0.5x = 65

                 x =  65÷0.5

                 x =  130

The cost of two plans will be same when Sam drive 130 miles.

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What is the equation of the line that passes through the point (2,-1)and has a slope of 1

Answers

Answer:

y =x - 3

Step-by-step explanation:

Equation of a line: y = mx + b

Here, m is the slope and b is the y-intercept.

 slope = m = 1

 y = 1x + b

Substitute the point (2,-1) in the above equation and find 'b'.

   -1 = 1*2 + b

   -1 = 2 + b

-1 -2 = b

     b = -3

Equation of the line:  y = x - 3


What is each number in simplest form?
a. 32⁻³/⁵

Answers

Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term."

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

Combine Like termsFactoringincreasing (the opposite of factoring)clean out fractions by multiplyingrecognizing a pattern you have seen earlier than, just like the difference of squares

Input:

32^ (-3/5)

Exact Value:

1/8

Decimal Form:

0.125

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Round your answer to the nearest hundredth B C 7 A 65°

Answers

The value of BC the nearest hundredth is 15.01 .

Trigonometric Ratios area unit outlined because the values of all the pure mathematics functions supported the worth of the quantitative relation of sides in an exceedingly trilateral. The ratios of sides of a trilateral with relation to any of its acute angles area unit referred to as the pure mathematics ratios of that exact angle.The 3 sides of the correct triangle are:Hypotenuse (the longest side)Perpendicular (opposite aspect to the angle)Base (Adjacent aspect to the angle)

From the image , we are able to see that CA = seven and angle A = 65°

Using ,Trigonometric Ratios , we get

Tan A = Perpendicular / Base

Tan 65° = BC / CA

2.144 =BC / 7

2.144 ×7 = BC

15.011 = BC

On rounding off to the closest hundredth , we have a tendency to get BC = 15.01

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For any function, we call x the ____ value and y is the ____ value.

Answers

For any function, we call x the numerator value and y is the denominator value.

What is a function?

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

NumeratorDenominator

For any function in Mathematics, we call x the numerator value while y is the denominator value.

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f(x)=√x-4
y = √x=4
How to find the inverse function

Answers

f ⁻¹( x)= x^2+4 is the inverse of f(x)= [tex]\sqrt{x-4}[/tex]

what is an inverse function ?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

write f(x)= [tex]\sqrt{x-4}[/tex] as an equation

y= [tex]\sqrt{x-4}[/tex]

interchange the variables

x= [tex]\sqrt{y-4}[/tex]

solve the equation for y we get

squaring both side ,we have

x^2 = y-4

this implies that

y= x^2 +4

replace y with f ⁻¹( x)  to show the final answer

f ⁻¹( x)= x^2+4

Hence, f ⁻¹( x)= x^2+4 is the inverse of f(x)= [tex]\sqrt{x-4}[/tex]

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Simplify the expression where possible

Is the answer 6^-9 or -54

Answers

The given expression can be rewritten as  [tex]6 ^{-9}=\frac{1}{6^9}[/tex].

Power Rules

There are different power rules, as presented below:

Multiplication with the same base: you should repeat the base and add the exponents.Division with the same base: you should repeat the base and subtract the exponents.Power. For this rule, you should repeat the base and multiply the exponents.Zero Exponent. When you have an exponent equals to zero, the result must be 1.

For solving this exercise, you should identify the power rules you will apply. For this question, you can apply the following rule:

"Power -  repeat the base and multiply the exponents."

Lilke the base is 6 and the exponents are 3 and -3, then you can rewrite the expression as:

[tex](6^3) ^{-3}=6 ^{-9}=\frac{1}{6^9}[/tex]

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Find each composition of functions. Simplify your answer.
Let f(x)=2 x-3 . Find f(1+h)-f(1) / h, h≠0

Answers

A composite function exists as a function that depends on another function. The value for (f(1+h)-f(1)) / h = 2

What is meant by composition function?

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the function be f(x) = 2x - 3

f(1+h) = 2 (1+h) -3 = 2h - 1

f(1) = 2(1) - 3 = -1

(f(1+h)-f(1)) = (2h - 1 ) + ( -1) = 2h

simplifying the equation, we get

(f(1+h)-f(1)) / h = 2h/ h

(f(1+h)-f(1))/h = 2

Therefore, the value of (f(1+h)-f(1))/h = 2.

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f(a)= a +1
g(a)=-2a²-3
Find (f x g)(-4)

Answers

In the given expressions (f x g)(-4) is -8a³ - 8a² + 12a + 12.

What exactly are expressions?A mathematical expression is a sentence that has at least two variables or numbers and one or more mathematical operations.Mathematicians can multiply, divide, add, or subtract.An expression is structured as follows: Number/variable, mathematical operator, and expression

So, (a+1)(2a²-3)(-4):

(a+1)(2a²-3)(-4)a(2a²-3) +1(2a²-3)(-4)(2a³-3a +2a²-3)-4-8a³ - 8a² + 12a + 12

Therefore, in the given expressions (f x g)(-4) is -8a³ - 8a² + 12a + 12.

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Find the approximate length (in Earth years) of each planet's year.
b. A Jovian year if Jupiter is 5.46 AU from the sun.

Answers

The approximate length is 12.755 year or 4653.75 days.

A year is the time it takes for a planet, moon, or other celestial body to make one orbit around the Sun. ( when we take our solar system as an example). In the case of other exoplanets, the celestial bodies, moon and other planets orbit around the main star. The period of the moon's orbit around the earth is related to the moon.

The reference point is very important in determining the exact length of a year. The length is dependent upon the reference point used for the orbital movement.

Jupiter completes a Single orbit once every 4333 days, due to which one Jupiter year is equivalent to 11.86 earth years.

The complete calculation is done below. (Image Attached)

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help please 3 2/5 ⋅ 2 1/3

Answers

Answer:

7 14/15

Step-by-step explanation:

what is the vertex of this graph
(minimum or maximum)

Answers

Answer:

maximum at (0, 2 )

Step-by-step explanation:

the vertex is the turning point on the graph.

the graph increases on the left up to (0, 2 ) then decreases

this indicates the vertex is a maximum

maximum at (0, 2). Thai is going to be the correct answer

1-(r+2)=9 (pls help, I'm not the smartest person)

Answers

Answer:

r = -10

Step-by-step explanation:

1. Distribute

1-(r+2)=9

1-r-2=9

2. Subtract the numbers

1-r-2=9

-1-r=9

3. Rearrange the terms

-1-r=9

-r-1=9

Solution: r = -10

By measuring the amount of carbon-14 in an object, a palaeontologist can determine its approximate age. The amount of carbon- 14 in an object is given by y=a e⁻⁰.⁰⁰⁰¹²t, where a is the amount of carbon- 14 originally in the object, and t is the age of the object in years. In 2003, a bone believed to be from a dire wolf was found at the La Brea Tar Pits. The bone contains 14 % of its original carbon-14. How old is the bone?
b. What properties of logarithms and exponents can you use to solve the equation?

Answers

The bone is approximately 16384 years old, as solved by basic algebra and logarithm.

The properties of logarithms and exponents so used are:  [tex]log_b(a)^m=m(log_b(a))[/tex], [tex]log_e(e) = 1[/tex]

What is basic algebra and logarithm?Numbers, variables, constants, expressions, equations, linear equations, and quadratic equations are all part of the basics of algebra. Additionally, the algebraic expressions contain the basic arithmetic operations of addition, subtraction, multiplication, and division.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Let 'a' be the original amount of the object.

Then, according to question, for y = amount of carbon in the object, y = 0.14(a) (as the bone contains 14% of its original carbon-14).

We are also given that: y = a [tex]e^{-0.00012t}[/tex]

On substituting the value of y, we get: 0.14a = a [tex]e^{-0.00012t}[/tex]

By basic algebra, we can solve it as:

=> 0.14 = [tex]e^{-0.00012t}[/tex]

=> ln (0.14) = ln ([tex]e^{-0.00012t}[/tex]) (taking natural logarithm on both sides)

=> ln (0.14) = - 0.00012t (as [tex]log_b(a)^m=m(log_b(a))[/tex]; further  [tex]log_e(e) = 1[/tex])

=> [tex]\frac{ln(0.14)}{-0.00012}[/tex] = t

=> t = 16384 years (approx.)

Hence, the bone is approximately 16384 years old, as solved by basic algebra and logarithm; The properties of logarithms and exponents so used are:  [tex]log_b(a)^m=m(log_b(a))[/tex], [tex]log_e(e) = 1[/tex].

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The total consumption of fruit juice in a particular country in 2006 was about 1.92 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in​ 2006? Using the per person amount from this​ problem, about how many gallons would your class​ consume? pls help

Answers

The average quantity of juice that is consumed per person in this country is given as 3.84

How to solve for the average

We have the following data with which to answer this question

The consumption of juice = 1.92 billion

The population of the country = 500 million

The question wants us to calculate the amount of drink that the persons would consume on average in this nation.

we have average = quantity consumed / total number of persons

This would give us

average = 1.92 billion / 500 million

= 1, 920, 000, 000 / 500, 000 ,000

= 3.84

Hence the amount of juice that is consumed per person in this country is given as 3.84

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how do you write 84 with letters?

Answers

Answer:eighty four

Step-by-step explanation:

Ranger wants to verify that the expression

8x - 20 is the correct simplified expression for 4(2x - 5) Explain how to verify the simplified expression.

Answers

Answer: It is correct.

The first step here is to distribute the numbers

4 times 2x is 8x

4 times -5 is -20

Therefore, you're left with 8x-20

I hope this helps!

describe fully the single transformation that takes shape a to shape b

Answers

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

What is transformation?

Transformation involves changing the position and size of a shape.

How to determine the transformation of the shapes?

The single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

From the figure, we have:

The side lengths of shape A are twice as large as the side lengths of shape BShape A can be rotated 180 degrees to map onto shape B, after dilation.

So, the scale of dilation from shape A to B is:

Scale = 1/2

Hence, the single transformation from shape A to B is: dilate A by 1/2, then rotate by 180 degrees

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If a polynomial f(x) has a remainder of -6 when divided by x-5, what is f(5)?

Answers

Answer:

Step-by-step explanation:

The answer is just 5

f(5)=5

Fully simplify 7hw+5wh + 3hw

Answers

Answer:

15hw.

Step-by-step explanation:

Note 5wh is the same as 5hw, so we have:

7hw+5hw + 3hw

= 15hw.

Or, if you like, you could write it as 15wh.

find four rational between -5/6 and -4/9​

Answers

The four rational number between -5/6 and -4/9 are (-43/54, -37/54, -35/54 and -31/54).

First we will make the denominator of -5/6 and -4/9 same by multiplying the numerator and denominator of -5/6 by 9 and multiply the numerator and denominator of -4/9 by 6, we get

-5x9/6x9 = -45/54 and -4x6/9x6 = -24/54

Now, we have -45/54 and -24/54 whose denominator are same.

we can choose or pick any four integers as numerator in between -45 and -24 with denominator as 54.

-43/54, -37/54, -35/54 and -31/54 are the four rational number having numerator in between -45 and -24 with denominator as 54.

Therefore, -43/54, -37/54, -35/54 and -31/54 are the four rational number between -5/6 and -4/9.

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Simplify each expression. x³/₅ / x³/₁₀

Answers

The result of simplifying the expression  x³/₅ / x³/₁₀  using the exponent rules is [tex]\sqrt[10]{}[/tex](x³)

To solve this exercise we have to resolve algebraic operations following the exponent rules.

[(x)³/₅ ] /  [(x)³/₁₀]

Using the quotient rule that indicates that: the exponent result will be the subtraction of these exponents, we have:

x⁽³/⁵ ⁻³/¹⁰⁾

(x)⁽⁶⁻³⁾/¹⁰

(x)³/¹⁰

As we have a fractional exponent, you must convert the exponent to root:

[tex]\sqrt[10]{}[/tex](x³)

What is an exponent?

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Write each equation in logarithmic form.
1/4=4⁻¹

Answers

The logarithmic form of 1/4 = 4⁻¹ is log₄ 4⁻¹ = ₋1.

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

The exponential function of the type aˣ = N can be converted into the logarithmic function logₐN = x. A Napier logarithm table can be used to determine the logarithmic value of any number. Logarithms are often calculated using a base of 10, therefore it is possible to get the logarithmic value of any number.

we have the exponential form as aˣ = N

1/4 = 4⁻¹

now the logarithmic form is:

logₐ N = x

log₄ 4⁻¹ = ₋1

hence we get the logarithmic form  as log₄ 4⁻¹ = ₋1.

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solve this question
3x+4x=80,000

Answers

Answer:

11429 (estimated)

Step-by-step explanation:

1. Combine like terms: 3x+4x=7x

7x=80,000

2. Divide 80,000 by 7, which is 11428.57

which can be rounded to 11429

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You also want to maintain a reserve of address spaces for a possible 6 to 10 additional locations in the future. Each network administrator should be able to construct at least 200 subnets from the addresses you supply, and each location should have the same amount of available address space. What IPv6 addresses should you assign to each location? When constructing your answer, list each location as Location 1, Location 2, and so forth. Tree loaves of bread cost $2.43.how much do two loaves cost SECTION I: DEMAND AND SUPPLY ANALYSISa. What happens to the equilibrium price and equilibrium quantity of ice cream in response to each of the following? Explain your answers. i. The price of dairy cow fodder increases. ii. The price of beef decreases. iii. Concern arise about the high fat content of ice cream. Simultaneously, the price of sugar (used to produce ice cream) increases. b. What will happen to the equilibrium price and equilibrium quantity in the fresh seafood market if each of the following event happen: i. A scientific report is issued saying that fish contains mercury, which is toxic to humans. ii. The price of diesel fuel (used to operate fishing boats) falls significantly. A cube made of platinum (Pt) has an edge length of 3.00 cm.The density of Pt is 21.45 g/cm3.(a) Calculate the number of Pt atoms in the cube. 10 Pt atoms(b)Atoms are spherical in shape. Therefore, the Pt atoms in the cube cannot fill all the available space. If only 74.0 percent of the space inside the cube is taken up by Pt atoms, calculate the radius in picometers of a Pt atom. The mass of a single Pt atom is 3.240 1022 g. [The volume of a sphere of radius r is (4/3) r3. The volume of a cube is l3, where l is the length of a side. Avogadro's number is 6.022 1023.] pm Put together the whole solution.69441 is equal to 10+3+2+1 with a remainder.694 divided by 41 is remainder . Solve for the volume of a square pyramid if a side length is 7 and the height is 21v=a2h/3 MATH: need help asap What happened after Wu Di expanded Chinas empire over a larger territory?New schools were created to train scholars.The people migrated to other lands. The amount of trade dropped dramatically. Citizens became less involved in government. What was the result at the u. S. Supreme court level in the case opener involving the constitutionality of the individual mandate of the affordable care act requiring that most americans obtain minimum essential health insurance contained within the affordable care act?. 8. The author claims that a lack of inspiration is no excuse for taking a break, because it means the writer is not doing his or her job and won't get paid. Describe a timewhen you couldn't find inspiration for a task and what you did to get back on track.9. What does Dr. Brock mean by this statement?10. Define drudges11. Why do you think the authors were so surprised by each other's answers?12. What is Zinsser's point?13. How important do you think it would be to hear from many people if you wanted to learn more about a career? Explain your answer.14. Why does the author believe that writers are vulnerable and tense?15. Is Zinsser following his own advice in this reading? Explain.6. Explain what personal transaction means and give an example from nonfiction that you've read. Drag each characteristic to the correct category.Viruses do not possess all the characteristics of life. Identify those characteristics that viruses display and those they don't display.made up of one or more cellshas a defined boundaryuses energyexhibits growth and developmentpossesses internal organizationeliminates wasteCharacteristics of LifePresent in VirusesCharacteristics of Life AbsentViruses I need help now I will give lots of points