example of an irrational number between 5 and 6. thank you :)

Answer:

I believe the answer is c

The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

The total principal and interest payment that Nelson will have to pay after 2 months is $4665.50.

To calculate the total principal and interest payment, we need to determine the interest amount and add it to the principal.

First, let's find the interest amount:

Interest = Principal x Interest Rate x Time

Given:

Principal = $4650

Interest Rate = 2% per year

Time = 2 months

Since the interest rate is given on an annual basis, we need to convert the time from months to years. There are 12 months in a year, so 2 months is equivalent to 2/12 = 1/6 years.

Interest = $4650 x 0.02 x (1/6) = $15.50

Now, we can calculate the total principal and interest payment:

Total Payment = Principal + Interest

Total Payment = $4650 + $15.50 = $4665.50

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He should expected tomorrows's score to be about 75 points greater than today's score.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The input and output variables for this problem are given as follows:

The slope is given as follows:

m = 5.

Meaning that when the input increases by one, the output increases by 5, hence the expected score's increase with an increase in the input of 15 is given as follows:

15 x 5 = 75.

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Answer:

K5.60.

Step-by-step explanation:

Answer:

the answer isn't an integer, but simplified it would be:

\(1000\sqrt{10}\)

Answer:

Step-by-step explanation:

10,000

Answer:

Step-by-step explanation:

To solve this problem, isolate the value of x from one side of the equation.

First, switch sides.

-29=x+8

x+8=-29

Then, subtract by 8 from both sides.

x+8-8=-29-8

Solve.

-29-8=-37

x=-37

Therefore, the final answer is x=-37.

The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).

1. Start by calculating the distance between the vertices of the original triangle ABC:

  - Distance between A(4, 3) and B(3, -2):

    Δx = 3 - 4 = -1

    Δy = -2 - 3 = -5

    Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26

  - Distance between B(3, -2) and C(-3, 1):

    Δx = -3 - 3 = -6

    Δy = 1 - (-2) = 3

    Distance = √((-6)² + 3²) = √45 = 3√5

  - Distance between C(-3, 1) and A(4, 3):

    Δx = 4 - (-3) = 7

    Δy = 3 - 1 = 2

    Distance = √(7² + 2²) = √53

2. Apply the scale factor of 1.5 to the distances calculated above:

  - Distance between A' and B' = 1.5 * √26

  - Distance between B' and C' = 1.5 * 3√5

  - Distance between C' and A' = 1.5 * √53

3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):

  - A' is located Δx units horizontally and Δy units vertically from A.

  - Δx = 1.5 * (-1) = -1.5

  - Δy = 1.5 * (-5) = -7.5

  - Coordinates of A':

    x-coordinate: 4 + (-1.5) = 2.5

    y-coordinate: 3 + (-7.5) = -4.5

4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).

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Four zeros

The given equation is given as:

The function f(x) can be expanded to give:

Note:

The zeros of a polynomial are the values of x that will make the function f(x) to be zero. This means that if those values (the zeros) are substituted into the function f(x), we will get 0 as the answer.

The number of zeros in a polynomial is the order of the polynomial

Therefore, the highest degree of the function f(x) above is 4, this means that the function f(x) has 4 zeros

The values are:

f(0) = -6

f(1) = 5

f(-1 )= -11

f(2) = 22

f(-3) = -3

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given:

f(x) = 3x² +8x -6

f(0)= 3(0)² + 8*0 -6

f(0) = -6

f(1)= 3(1)² + 8*1 -6

f(1) = 5

f(-1)= 3(-1)² + 8*(-1) -6

f(-1) = -11

f(2)= 3(2)² + 8*2 -6

f(2) = 22

f(-3)= 3(-3)² + 8*(-3) -6

f(-3) = -3

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depends on what you mean by short shorts cuz if they're too short no thanks but when they're like above your knees we like that ahahha. and ya crocs are chill that would be a good outfit for like getting icecream ya feel. for the top i would say a hoodie cause every girl loves hoodies but if you wanted something else i would say a flannel or just a skater tshirt and maybe a cross earring or some necklaces and some rings if u want. honestly just be your goofy self and we love you, just be more confident in yourself and don't be afraid to ask us out because we're rly shy with that stuff well at least i am.

Answer:

Graphs can only provide a limited view of the data.

b. False

Step-by-step explanation:

On the contrary, graphs present better views of the presented data.  Mathematically, graphs are methods of visually illustrating data relationships.  The main purpose of using a graph is to present complicated data that show trends or relationships between variables.  It has been an important tool for presenting data in a visual and easy-to-understand format, without using too much description.

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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Answer:

a

Step-by-step explanation:

Both the exponential and logarithmic functions tend to infinity.

Step-by-step explanation:

a) The distance is the integral of the velocity vs. time graph.  We can approximate the distance using a left hand Riemann sum.  That means for each interval, use the velocity at the beginning of the interval.  Don't forget to convert mi/hr to mi/s.

d₁ = (10 s − 0 s) (183.9 mi/hr × 1 hr / 3600 s) = 0.5108 mi

d₂ = (20 s − 10 s) (169.0 mi/hr × 1 hr / 3600 s) = 0.4694 mi

d₃ = (30 s − 20 s) (105.6 mi/hr × 1 hr / 3600 s) = 0.2933 mi

d₄ = (40 s − 30 s) (99.8 mi/hr × 1 hr / 3600 s) = 0.2772 mi

d₅ = (50 s − 40 s) (124.5 mi/hr × 1 hr / 3600 s) = 0.3458 mi

d₆ = (60 s − 50 s) (177.1 mi/hr × 1 hr / 3600 s) = 0.4936 mi

d = 0.5108 + 0.4694 + 0.2933 + 0.2772 + 0.3458 + 0.4936

d = 2.390 miles

b) Do the same as part a, but this time, use a right hand Riemann sum.  Instead of using the velocity at the beginning of the interval, use the velocity at the end of the interval.

d₁ = (10 s − 0 s) (169.0 mi/hr × 1 hr / 3600 s) = 0.4694 mi

d₂ = (20 s − 10 s) (105.6 mi/hr × 1 hr / 3600 s) = 0.2933 mi

d₃ = (30 s − 20 s) (99.8 mi/hr × 1 hr / 3600 s) = 0.2772 mi

d₄ = (40 s − 30 s) (124.5 mi/hr × 1 hr / 3600 s) = 0.3458 mi

d₅ = (50 s − 40 s) (177.1 mi/hr × 1 hr / 3600 s) = 0.4936 mi

d₆ = (60 s − 50 s) (175.6 mi/hr × 1 hr / 3600 s) = 0.4878 mi

d = 0.4694 + 0.2933 + 0.2772 + 0.3458 + 0.4936 + 0.4878

d = 2.367 miles

c) The velocity decreases from 0 s to 30 s, but then increases from 30 s to 50 s, and then decreases from 50 s to 60 s.

Since the velocity doesn't consistently increase or decrease, these Riemann sums are neither lower nor upper sums.

Answer:

3240 degrees.

Step-by-step explanation:In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon's interior angles is 3240 degrees.

Answer:

HAHAHAHH

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

eight quarters in $2.00, 2 quarters in .50 cents = 10 quarters.

Answer:

8%: $295

10% : $6005

15%: $595

Step-by-step explanation:

Let's break this down:

Let's call the amounts invested at 8% and 10% combined = x
Then call the amount invested at 15% = x + $300
8% of x = 0.08x
10% of (6300 - x) = 0.1(6300 - x)
15% of (x + $300) = 0.15(x + $300)
0.08x + 0.1(6300 - x) + 0.15(x + $300) = $773
0.18x = $53
x = $53/0.18 = $295

a = amount invested at 8%

how much is 8% of "a"? (8/100) * "a", namely 0.08a.

b = amount invested at 10%

how much is 10% of "b"? (10/100) * "b", namely 0.10b.

c = amount invested at 15%

how much is 15% of "c"? (15/100) * "c", namely 0.15c.

we know the total amount invested is 6300, so whatever "a", "b" and "c" might be, we know that a + b + c = 6300.

we also know that the yielded amount in interest is 773, so if we simply add their interest, that'd be 0.08a + 0.10b + 0.15c = 773.

we also know that the combined amounts of "a + b" plus 300 bucks is "c", so really c = a + b + 300.

\(c = a + b + 300 \\\\[-0.35em] ~\dotfill\\\\ a+b+c=6300\implies c=6300-a-b\implies \stackrel{\textit{substituting from the equation above}}{a+b+300=6300-a-b} \\\\\\ 2a+2b+300=6300\implies 2a+2b=6000\implies 2(a+b)=6000\)

\(a+b=\cfrac{6000}{2}\implies a+b=3000\implies \boxed{b=3000-a} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{c = a + b + 300}\implies \stackrel{\textit{substituting from above}}{c=a+(3000-a)+300}\implies {\Large \begin{array}{llll} c=3300 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{we also know that} }{0.08a+0.10b+0.15c=773}\implies \stackrel{\textit{now, substituting "b" and "c"}}{0.08a+0.10(3000-a)+0.15(3300)=773}\)

\(0.08a+300-0.10a+495=773\implies -0.02a+300+495=773 \\\\\\ -0.02a+795=773\implies -0.02a=-22\implies a=\cfrac{-22}{-0.02}\implies {\Large \begin{array}{llll} a=1100 \end{array}} \\\\\\ \stackrel{\textit{now, we know that}}{b=3000-a}\implies {\Large \begin{array}{llll} b=1900 \end{array}}\)

Answer:

1. 1               2.1/2           3. 0           4. 1              5. 1/2           6. 0

Step-by-step explanation:

Answer: (4, 3)

Step-by-step explanation:

To solve the system of equations using elimination, we can manipulate the equations to eliminate one variable and solve for the other.

Let's start with the given system of equations:

Equation 1: 4x + 4y = 28

Equation 2: 3x + y = 15

To eliminate the y variable, we can multiply Equation 2 by 4 to make the coefficients of y in both equations the same:

4 * (3x + y) = 4 * 15

12x + 4y = 60

Now we have two equations with the same coefficient for y:

Equation 1: 4x + 4y = 28

Equation 3: 12x + 4y = 60

We can subtract Equation 1 from Equation 3 to eliminate the y variable:

Equation 3 - Equation 1:

(12x + 4y) - (4x + 4y) = 60 - 28

12x - 4x = 32

8x = 32

x = 4

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use Equation 2:

3x + y = 15

3(4) + y = 15

12 + y = 15

y = 15 - 12

y = 3

Therefore, the solution to the system of equations is x = 4 and y = 3. So the answer is (4, 3).

Answer:

(4, 3)

Step-by-step explanation:

i got it right on my quiz

Answer:

18%

Step-by-step explanation:

The supper cost was $29 sometime recently tip after tip it was $32.22 34.22 - 29= $5.22 she tipped    29x5.22   leaving 18%.

The direction cosines and direction angles of the vectors will be x/r , y/r , z/r  and cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r ) respectively.

The cosines of the angles that a given vector, m = xi + yj + zk, makes well with the x, y, and z axes are the direction cosines of that vector.

If a forms the direction angles (which are cosines) with the x, y, and z axes, then the direction cosines of m are cos a, cos b, and cos c in the x, y, and z axes, respectively.

Let the equation be =  xi + yj + zk

vector of the equation will be = (x, y, z)

r = length of vector = √(x²+y²+z²)

The direction cosines will be x/r , y/r , z/r

angles will be cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )

Direction cosines will be -x/r , y/r , z/r

Angles will be -

cos⁻¹(x/r), cos⁻¹(y/r),cos⁻¹(z/r )

Consider the dimensional point P. We can derive direction cosines by computing the cosine of any positive (anticlockwise) angles that a position vector makes with the positive x, y, and z-axes, respectively.

These angles are referred to as direction angles. By using direction cosines, it is easy to translate a vector's direction into angles with regard to a reference.

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Answer:

Step-by-step explanation:

9 3/4 acres in 3 3/8 days = 9 6/8 acres in 3 3/8 days

(72 + 6)/8 = 78/8

(24 + 3)/8 = 27/8

78/8 divided by 27/8 = 78/27 = 26/9 or 2 8/9 acres/day

For this type of questions (linear equations optimization) remember that the maxumum and minimum values are reached for one of the vertices of the polygon formed by the region.

Now we evaluate the vertices in the given function:

Then, we conclude that the maximum value is C=26 and the minimum is C=-4.

By solving the linear equation it can be obtained that

The value of x is 2

What is a linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The given linear equation is

0.3 = 0.5x - 0.7

0.5x = 0.3 + 0.7

0.5x = 1

x = \(\frac{1}{0.5}\)

x = 2

The solution of this linear equation is x = 2

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The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.

Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.

To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.

Let's start with the first equation:

2 + x = 5

Subtract 2 from both sides:

x = 3

Now let's move on to the second equation:

x + 1 = 4

Subtract 1 from both sides:

x = 3

Notice that we got the same value of x for both equations, so they are equivalent.

Next, let's look at the third equation:

9 + x = 6

Subtract 9 from both sides:

x = -3

Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.

Now, let's move on to the fourth equation:

x + (-4) = 7

Add 4 to both sides:

x = 11

This value of x is also different from the first two equations, so it is not equivalent to them.

Finally, let's look at the fifth equation:

-5 + x = -2

Add 5 to both sides:

x = 3

Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.

So, correct options are A, B and E.

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Complete question is:

Which of the following equations are equivalent? Select three options.

2 + x = 5

x + 1 = 4

9 + x = 6

x + (- 4) = 7

- 5 + x = - 2