What is the length of the dotted line in the diagram below

The total amount spent by Ivan is given by the equation A = $ 40.20

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount spent by Ivan be represented as A

Now , the equation will be

The cost of one large necklace = $ 5.90

The cost of one small necklace = $ 4.90

The number of large necklaces = 1

The number of small necklaces = 7

So , the cost of 7 small necklaces = 7 x cost of one small necklace

Substituting the values in the equation , we get

The cost of 7 small necklaces = 7 x $ 4.90

The cost of 7 small necklaces = $ 34.30

And , the total amount spent by Ivan = cost of one large necklace + cost of 7 small necklaces

On simplifying the equation , we get

The total amount spent by Ivan A = 5.90 + 34.30

The total amount spent by Ivan A = $ 40.20

Hence , the equation is A = $ 40.20

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The y-intercept of the function is given as (0, -4). This also shows that the value of y missing from the coordinate is -4

The y-intercept of a function is the point where the value of x is zero. Given the function below;

4x-9y=36

when the value of x is zero, hence;

4(0) - 9y = 36

Simplify to have:

0 - 9y = 36

-9y = 36

Divide both sides by -9 to have:

-9y/-9 = 36/-9

y = -4

Hence the y-intercept of the function is given as (0, -4). This also shows that the value of y missing from the coordinate is -4

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Answer: a

Step-by-step explanation:

Answer:

396 with a remainder of 18

Step-by-step explanation:

   0 0 3 9 6

7 1 2 8 1 3 4

 − 0        

   2 8      

 −   0      

   2 8 1    

 − 2 1 3    

     6 8 3  

   − 6 3 9  

       4 4 4

     − 4 2 6

         1 8

Answer:

2y=3 = y = 3/2 = 1.500

 z = 10     =   z = 10

Steps below

Step-by-step explanation:

Solving a Single Variable Equation

Add  3  to both sides of the equation :  

                     2y = 3

Divide both sides of the equation by 2:

                    y = 3/2 = 1.500

Hope this helps.

The solution to the equation -9 = 6m + 15 is m = -4.

Given the equation in the question;

-9 = 6m + 15

Rewrite the equation as 6m + 15 = -9

Move all terms not containing m to the right side of the equation by subtracting 15 from both sides

6m + 15 - 15 = -9 - 15

6m = -9 - 15

Add -9 and -15

6m = -24

Divide both sides by 6

6m/6 = -24/6

m = -24/6

m = -4

Solution check

Plug m = -4 into the equation and check

-9 = 6m + 15

-9 = 6( -4 ) + 15

-9 = -24 + 15

-9 = -9

Correct.

Therefore, the numerical value of m is -4.

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Answer:

B)

Step-by-step explanation:

a p ec

Answer:

3/5

Step-by-step explanation:

Pick two points that are easy to read. pints that are easy to read are on the intersection of grid lines.

For example, pick (-2, 0) and (3, 3).

slope = rise/run

Rise is a vertical distance.

Run is a horizontal distance.

Start at (-2, 0). To go to (3, 3) by using only horizontal and vertical segments, go up 3 unit. Now go right 5 units.

The rise is 3. The runs is 5.

slope = rise/run = 3/5

Answer: 3/5

Answer:

X=2

Step-by-step explanation:

|2x -12| = -4x

2x-12 = -4x

2x - (-4x) = 12

2x +4x =6x

6x=12

x=12/6

x=2

The amount of force it takes to push Jeff’s race car will be 1875 Newtons.

Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.

The formula of force will be

F = ma

Where m is the mass of the body and a is the acceleration of the body.

Then the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 meters per square second.

Then we have

F = 750 x 2.5

F = 1875 Newton

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Answer:

D. quadrant III

Step-by-step explanation:

Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.

Step 1: ?

Step 2: -9 + 2 + 3

Step 3: -7 + 3

To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.

In Step 3, the expression "-7 + 3" gives us a result of -4.

In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.

So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.

Let's check the available options:

[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4

[-8 - 1] + (2 + 3) = -9 + 5 = -4

[-10 + 1] + (2 + 3) = -9 + 5 = -4

[8 + 1] + (2 + 3) = 9 + 5 = 14

Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).

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To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:

1/2 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

1/2 and 4/8

Now, the fractions are equivalent.

---

4/12 and __/60

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:

4/12 and 20/60

Now, the fractions are equivalent.

---

2/3 and __/12

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:

2/3 and 8/12

Now, the fractions are equivalent.

---

4/4 and __/8

To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:

4/4 and 8/8

Now, the fractions are equivalent.

It is not possible to find a combination using addition and multiplication of the given single-digit numbers that totals exactly 100 while keeping the same order.

To combine the single-digit numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9 using only addition and multiplication so that they total 100 while keeping the same order, we can form the following expression:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9

In this expression, we group the numbers 7 and 8 together to form 78. Then, we add all the other numbers from 1 to 6 and the number 9. Adding them up, we get:

1 + 2 + 3 + 4 + 5 + 6 + 78 + 9 = 108

Unfortunately, the sum obtained from this expression is 108, not 100 as required.

It is not possible to obtain a sum of exactly 100 by combining the single-digit numbers 1 to 9 in the given order using only addition and multiplication. This is because the largest single-digit number, 9, is relatively small compared to the desired total of 100.

Adding all the single-digit numbers in order without any multiplication would result in a sum of 45, which is significantly lower than 100. Multiplication can only further decrease the sum, making it even more difficult to reach 100.

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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

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

y = x + 6

Step-by-step explanation:

The number line first represents the solution to the inequality x/-1 > -6 option first is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The complete question is:

Which of the following number lines represents the solution set of x/-1 > -6?

For the number lines shown in the attached picture, please refer to the picture.

We have an inequality:

x/-1 > -6

x < 6  

x ∈ (-∞, 6)

Thus, the number line first represents the solution to the inequality x/-1 > -6 option first is correct.

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Answer:

i would say (10,6)

Step-by-step explanation:

Answer:

n=√(4m+1) , 7

Step-by-step explanation:

According to statement

 ( n²-1 )÷m=4

∴n²-1=4m

⇒n²=4m+1

⇒n=√(4m+1)… … … … 1

If m=12

put the value of m in 1 equation

n=√(4×12+1)

  =√49=7

Answer:

try b or c hop this help have a good day

Answer:

D

Step-by-step explanation:

the answer is D.. nothing to say step by step

The exponential function f can be written as \(f(x) = 5 \times (8/5)^x\) .

The exponential function f can be written as:

\(f(x) = a \times b^x\)

To find the values of a and b, we can use the given values of f(x) for x = 0 and x = 1:

\(f(0) = a \times b^0 = a = 5\\f(1) = a \times b^1 = 8\)

Substituting the value of a in the second equation, we get:

5 × b = 8

Solving for b, we get:

b = 8/5

Therefore, the exponential function f can be written as:

\(f(x) = 5 \times (8/5)^x\)

These forms are all equivalent and represent the same exponential function.

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Answer:

y=6

Step-by-step explanation:

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

2n ÷ 9 - x

Step-by-step explanation:

The product of 2 and a number, I used "n" to replace the number. Putting a number next to a variable means multiplying.

So we have 2n and divide by the difference (subtracting) of 9 and ANOTHER number, that means we need a different variable for this I used "x".

And that's how I got 2n ÷ 9 - x as my answer.

Hope that helps and have a great day!

Answer:

C

Step-by-step explanation:

Hamburger = Hotdog x 2

3(Hamburger) + 2(Hotdog) = 21

Now replace with x (Hotdog) and y (Hamburger)

y = 2x

3y + 2x = 21

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

The amount of A will be $4277 and of B will be $5720 fir their given compound interest.

What is Compound interest?

Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.

Formula to find compound interest:

A=P(1+r/n)^nt

Where,

A = amount

P = principal

r = rate of interest

n = number of times interest is compounded per year

t = time (in years)

Alternatively, we can write the formula as given below:

CI = A – P

Where CI=Compound Interest

Now,

For A

P=$3000, t=6 years, rate=6%, n=2

Investment of A in 6 years will be

A=3000(1+6/2*100)^12

=3000*(103/100)^12

=3000*1.425

=$4277

For B

P=$5000, t=5 years, rate=2.7%, n=4

Investment of B in 5 years will be

B=5000(1+2.7/(4*100))^20

=5000*(402.70/400)^20

=5000*1.14

=$5720

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