5. lf you are an American citizen, then you have the right to vote​

Answer:

60/100

Step-by-step explanation:

You need to have the denominator set to 100. So multiply the denominator by 10, but whatever you do the denominator, you have to do to the numerator. So multiply the numerator by 10 too.

Therefore , the solution of Inverse function comes out to be of x-20 equals to x+20

A function f has an inverse function only if for every y in its range there is only one value of x in its domain for which f(x)=y. This inverse function is unique and is frequently denoted by f−1 and called “f inverse.” For an overview into the idea of an inverse function, see the function machine inverse.Steps for finding the inverse of a function fReplace f(x) by y in the equation describing the function. Interchange x and y. In other words, replace every x by a y and vice versa.

Here,

Solve for y.

Replace y by f-1(x).

y=x-20

x=y-20

Solve for y,x = y-20

x+20

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Answer:

ƒ^(-1)(x) = x + 20

Step-by-step explanation:

To find the inverse of the function ƒ(x) = x - 20, we need to switch the roles of x and y and solve for y.

Let's start by replacing ƒ(x) with y:

y = x - 20

Next, swap x and y:

x = y - 20

Now, solve for y by isolating it:

x + 20 = y

Therefore, the inverse of the function ƒ(x) = x - 20 is given by:

ƒ^(-1)(x) = x + 20

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

you can start by dividing the total length of the road by the distance that can be repaired per week:

13 km ÷ 3 1/2 km/week = 3.71 weeks

Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.

Answer:

Step-by-step explanation:

Just let me know if you want an explanation and I will do it.

Hope this helped. A brainliest would be very much appreciated. (I need 3 brainliest so I can level up) :)

The arrangement of 26/4, 6.45, 6 2/5, and 50/8 in order from least to greatest is C. 50/8, 6 2/5, 6.45, 26/4.

The concept that will be used here is ordering of numbers using < signs.

To arrange the  shows, we can convert 26/4, 6.45, 6 2/5, and 50/8  to decimal so this will help us to determine the order.

26/4=6.50

6.45=6.45

6 2/5=32/5 = 6.40

50/8 =6.25

Then 6.25<6.40 <6.45 <6.50 and this implies that the order that the arrangement follows is 50/8, 6 2/5, 6.45, 26/4

Therefore, option C is correct.

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Answer: Below

Step-by-step explanation:

Angles 1, 3, 5, 7 are 120 degrees.

Angles 4, 2, 8, 6 are 60 degrees.

angles 10, 12, 13, 15 are 70 degrees.
Angles 9, 11, 16, 14, are 110 degrees.
angle 17 is 50 degrees.

Answer:

3/2 or 1.5

Step-by-step explanation:

have a good day

Answer: 4x√5

Step-by-step explanation:

√2x • √40x=

√(2*40*x*x)=

√80x^2=

√(16*5x^2)=4x√5

Answer:

152 cm²

Step-by-step explanation:

2x5x3=30

2x6x3=36

5x6=30

2x2.5x6=30

2x6=12

(2+5)/2=3.5x2=7x2=14

30+36+30+30+12+14=152

Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

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The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

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Answer:

What is the GCF of 36 and 84?

Find the prime factorization of 36.

Find the prime factorization of 84. 84 = 2 × 2 × 3 × 7.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.

GCF = 12.

The common factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. We can get all the factors using the prime factorization method.

Step-by-step explanation:

The greatest common factor of 84 and 36 is 12.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

84 and 36

The factors of 84 are:

84 = 2 x 42

84 = 3 x 28

84 = 4 x 21

84 = 6 x 14

84 = 7 x 12

The factors of 36.

2 x 18 = 36

3 x 12 = 36

4 x 9 = 36

6 x 6 = 36

Now,

12 x 7 = 84

12 x 3 = 36

Thus,

12 is the greatest common factor of 84 and 36.

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

a= 45 degrees

Step-by-step explanation:

all triangles if u add up their degrees equal 180

180-90=90 so the 2 angles together must equal 90

90/2=45

The linear equation for the 24 is less than m is 24 = m - 8 here m is the number.

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 a linear equation in one variable:

24 is less than m:

Here m is the number:

24 = m - 8

Where m is the number.

Thus, the linear equation for the 24 is less than m is 24 = m - 8 where m is the number.

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The value of k in g(x) = 5^x + k is -7

The complete question is added as attachment

The functions are given as:

f(x) = 5^x

g(x) = 5^x + k

From the attached graph, we can see that:

f(x) is shifted down by 7 units to form g(x)

This means that:

g(x)= f(x) - 7

This gives

g(x) = 5^x - 7

Substitute g(x) = 5^x - 7 in g(x) = 5^x + k

5^x + k = 5^x - 7

This gives

k = -7

Hence, the value of k in -7

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Answer:

TA of longer piece = 2(lw) + 2(hw) + 2(lh) 2*1*1 +2*6*1 + 2*1*6 = 2 + 12 + 12 = 26 TA of shorter piece = 2(lw) + 2(hw) + 2(lh) = 2*1*1 + 2*3*1 + 2*1*3 = 14 Add the two surface areas together. 26 + 14 = 40 Subtract the area where the two pieces of wood are attached. Because that section will not be painted on either piece of wood, two times that area must be subtracted. 40 - (2*1*1) = how many square inches of purple?

Step-by-step explanation:

Answer as a fraction =  4/3

Answer in decimal form = 1.33 approximately

===================================================

Explanation:

x = number of days

y = number of inches

For instance, on day x = 3, we have y = 4 inches of flood water. This is shown by the point (x,y) = (3,4) on the diagonal line.

Divide y over x to get the value of k, which is the constant of proportionality.

k = y/x

k = 4/3

k = 1.33 which is approximate

You could also pick a point like (x,y)  = (6,8) to find that

k = y/x

k = 8/6

k = 4/3

k = 1.33

Which is the same as earlier.

We can pick any point on the diagonal line as long as it's not the origin point (0,0).

The equation of this direct variation line is y = (4/3)x. It has a slope of 4/3 and a y intercept of 0. The slope of 4/3 means that each time we move up 4 on the y axis, we move to the right 3 units on the x axis.

In short, slope = rise/run = 4/3. So rise = 4 and run = 3.

For any direct variation linear equation, the slope and constant of proportionality are the same thing.

Answer:

140

Step-by-step explanation:

2{ 2[24 + 4(9)-25]}

2{ 2[24 + 36-25]}

2{ 2[35]}

2(70)

140

Answer:

8 people bought economy and 2 bought first class

Step-by-step explanation:

there are 10 person and total is 1580 so 250+ 9(135)=1460 which is wrong so we gonna try adding 2(250) and 8(135) which got us 1580

Answer:

\(\dfrac{5e^2}{2}\)

Step-by-step explanation:

Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.

Given function:

\(y=x^2\ln(2x)\)

Differentiate the given function using the product rule.

\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)

\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)

Input the values into the product rule to differentiate the function:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)

To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:

\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)

Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:

\(\boxed{\dfrac{5e^2}{2}}\)

Answer: I believe it's A.

Step-by-step explanation: if you divide each number by each other then you get a decimal number. But if you multiply the numbers then you get a whole number

Answer:

Step-by-step explanation:

If J is between H and K then HJ + JK = HK

Given

HJ=6x-5

JK=4x-6

KH=129

Required

The value of x

Substituting the given parametrs into the formula;

6x-5+4x-6 = 129

6x+4x-5-6 = 29

10x-11 = 129

add 11 to both sides

10x-11+11 = 129+11

10x = 140

divide both sides by 10

10x/10 = 140/10

x = 10

Hence the value of x is 10

Answer:

18h - 3hk

Step-by-step explanation:

3h(6 - k)

= 3h(6) + 3h(-k)

= 18h + -3hk

= 18h - 3hk

The simplified for of the expression 2.3h(6 - k) can be written as 13.8h - 2.3hk

Given the expression :

2.3h(6 - k)

Open the bracket ; multiply values in the bracket by 2.3h

13.8h - 2.3hk

Since there is no other way to reduce the expression further, then the simplified form of the expression would be expressed as 13.8h - 2.3hk

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Answer:

The slope is 2/3

Step-by-step explanation:

Take the line from the point it is touching then go up 2 and right 3 which is 2/3 and if the patter repeats then that's how you know its right.

Answer:

Rounding the solution:

x₁  =  37

x₂  =  4

z(max)  =  217000

Step-by-step explanation:

                                                             Cost $

Promotion on Radio R           (x₁)           480

Promotion on Newspaper P (x₂)           550

Availability                                           20000

z  =  5000*x₁   +  8000*x₂      to maximize

Subject to

Budget          20000

480*x₁  +  550*x₂   ≤  20000

Maximum number of ads   30

x₁   +   x₂   ≥  30

Maximum number of newspaper ads  5

x₂  ≤  5

The Model:

z  =  5000*x₁   +  8000*x₂      to maximize

Subject to:

480*x₁  +  550*x₂   ≤  20000

x₁   +   x₂   ≥  30

x₂  ≤  5

General constraints:

x ≥   0  ;  x  ≥ 0    both integers

NOTE: The model was considered that  x₁    and  x₂  as integers. The AtomZmath did not find an integer optimal solution. But in problem statement was established that " Round your answers to the highest whole number". I decided to pose the non-integer solution

After 6 iterations optimal solution is:

x₁   =  37.15

x₂  = 3.925

z(max)  =  217150

Rounding the solution:

x₁  =  37

x₂  =  4

z(max)  =  217000

Answer:

10 and 64 and is a then not answer

Answer:

Step-by-step explanation:

    2  64,   94

         32,   47

LCM=2*32*47=3008

while doing LCM u should take all the numbers (common numbers and remaining numbers)

But in HCF only common numbers are take for eg .here,HCf is 2because 2 is the only number that divides both the number.

Answer:

Newtons 2nd law of motion

Step-by-step explanation:

Newton’s second law of motion is closely related to Newton’s first law of motion. It mathematically states the cause and effect relationship between force and changes in motion. Newton’s second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force. Before we can write down Newton’s second law as a simple equation giving the exact relationship of force, mass, and acceleration, we need to sharpen some ideas that have already been mentioned.