Evaluate n + 11 for n = 3.31183314

The first thing we have to see is that exercise (c) is given as follows

From (e) we know:

So we replace f(k) of the (e) part on the (c) part as follows:

Now we must find the value of x the function F (k) is not defined. This value is given when the denominator of the function gives 0 since the function would be indeterminate then:

All functions have a domain and a range. The domain of a function is all the values that the function can take along the k-axis and the range on the f(k)-axis.

1st = 12 stickers

2nd = 18 stickers

3rd = 30 stickers

Total stickers = 60

Ratio of the three students = 2:3:5

Let the ratio of the 1st student = 2

The ratio of the 2nd student = 3

The ratio of the 3rd student = 5

Total ratio = 2 + 3 + 5 = 10

speed = distance / time

distance = 240 miles

Time = 4 hours

Inserting the values into the formula;

speed = 240 /4

=60 miles per hour

Answer:

1365 ft^3

Explanation:

The compost bin can be thought of as being formed of two boxes.

The volume of the front box is

And the volume of the box at the end is

Hence, the volume of the compost bin is the sum of the volumes above.

The volume of the compost bin is 1365ft^3.

x = 3, y = -6, z = 10

The given equations are:

5x + 7y + 2z = -7..............(1)

9x + 7y + 2z = 5.................(2)

2x - 7y - 5z = -2......................(3)

Make x the subject of the formula in equation (1)

5x = -7 - 7y - 2z

x = ( -7 - 7y - 2z) / 5 ...........(4)

Substitute equation (4) into equations (2) and (3)

Solve equations (5) and (6) simulataneously:

Make z the subject of the formula from equation (5), the equation becomes:

Substitute equation (7) into equation (6)

Put the value of y into equation (7)

Put the value of z into equation (4)

Answer:

Explanation:

The exponential function is of the form:

In 2004, (i.e. t=0), the number of licensed drivers = 22.76 million

In 2009, the number of licensed drivers = 23.7 million

We solve for the value of b:

Therefore, an exponential formula for the number, N, of licensed drivers in the US as a function of t, the numbers of years since 2004 is:

Note: N(t) is in millions

Let

x -----> Karen's age now

y ----> Oliver's age now

we have that

x=y+21 --------> equation 1

(x+4)=2(y+4) ---> equation 2

Solve the system of equations

Substitute equation 1 in equation 2

(y+21+4)=2(y+4)

solve for y

y+25=2y+8

2y-y=25-8

y=17

Find out the value of x

x=17+21

x=38

therefore

The given function is,

So, let us take the point, (3,1)

is not true

Therefore, graph D is true

Given:

Discriminant = 12

12>0

Therefore, the quadratic equation has two real roots.

Answer:

slope is undefined

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 7, 4 ) and (x₂, y₂ ) = (- 7, 9 )

m = [tex]\frac{9-4}{-7-(-7)}[/tex] = [tex]\frac{5}{-7+7}[/tex] = [tex]\frac{5}{0}[/tex]

division by zero is undefined thus the slope is undefined

Given:

Let us take 5 squares each with a side of 2 cm.

To make: The shape that has a perimeter of 20cm

Explanation:

Let us draw the shape as follows,

We know that the sum of all outer sides of the shape is the perimeter.

So, the perimeter of the above shape is 20.

Answer with Explanation: Provided the following dot plot, we have to find the (1) Mean, (2) median, and the (3) mode:

(1) Mean:

(2) Median:

(3) Mode:

(a) At Garcia's Bike rentals, it cost $33 to rent a bike for 8 hours.

We are asked to find how many dollars will an hour of bike use cost.

Let x be the cost in dollars of an hour of bike us.

If 8hours = $33

1 hour = $x

Lets cross multiply:

8 * x = 33 * 1

8x = 33

Let's divide both sides by 8

x = 33/8

x = $4.125

Therefore, per hour of bike use is $4.125

(b) Keiko bought 12 pounds of flour for $6.

We are to find how many dollers she paid per pound of flour.

Let y be the amount in dollar he paid per pound of flour.

If 12 pound = $6

1 pound = $y

Let's cross multiply:

12 * y = 6 * 1

12y = 6

Divide both sides by 12:

y = 6/12

y = $0.5

Therefore, she pays $0.5 per pound of flour.

The given shape is a rectangle with base 8 yards and height 3 yards.

The area of a rectangle is the product of its base and its height:

Replace b = 8yd and h = 3yd to find the area of the rectangle:

Therefore, the area of the shape is 24 square yards.

Let

x -----> the measure of the missing angle

we know that

In the right triangle show

sin(x)=6/9 ------> by opposite side divided by the hypotenuse

so

using a calculator

x=arc sin(6/9)=41.81 degrees

therefore

the measure of the angle is

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The three pairs of side lengths that are possible measurements for the triangle is:

since the base angles of the triangle are equal with 45 degrees each and a vertical angle of 90 degrees.

We know that

• p: She is a tennis champion.

• q: She is not very good.

It's important to know that the connector ⟹ refers to an implication so if we have the statement p⟹q it's read as "if p then q". The symbol ∼ refers to the negation of a statement, for example, if q means "she is not very good" then ∼q means "she is very good", so the symbol ∼ can be seen as the opposite meaning.

So, in this case, we have the statement p⟹∼q, which is read as "if she is a tennis champion then she is very good.

Therefore, the correct answer would be Her being a tennis champion implies that she is very good.

Solution

For this case we can do the following:

then the final answer for this case is:

67500

Explanation

Step 1

replace g(x) in f(x),where x

Step 2

operate

remember:

Hence,

I hope this helps you

Lines that do not intersect and also are not parallel are said to be skew lines.

Skew lines are lines that do not intersect, are not parallel, also they are not perpendicular to each other.

ANSWER:

Skew

answer: D

A banquet is a formal, substantial dinner that a large group of people share. Banquets are typically conducted to boost a host's reputation or to strengthen social ties between co-contributors. These goals can be fulfilled today through events like ceremonies, celebrations, or charitable gatherings.

52 x 72 tablecloth for a 4 foot rectangle dinner table (standard Drop) 52 x 114-inch tablecloth (standard drop) and 90 x 132-inch tablecloth for a 6-foot rectangular dinner table (full drop).

What size tablecloths am I going to need?

Seating at Round Tables & Sizes of Linen

Size of the Table Seating Linen 6' x 30" 6-8 People 120" Round

8' x 30 "8 to 10 people

72" x 120" 90" x 156" \s108" "Round.

To learn more about Banquet refer to:

https://brainly.com/question/18943399

#SPJ1

ANSWER

EXPLANATION

We want to find the equation for g(x).

First, the function is stretched vertically by a factor of 4. This means that the function changes as follows:

Therefore, the function becomes:

Then, it is translated 7 units down. This means that the function changes as follows:

Therefore, the equation for g(x) is:

Indigo Depot is having a clearance sale for the spring items all clearance items are marked an additional 35% off the sale price address that originally cost $130 before any discount is on sale for 20% off what is the final price round your answer to the nearest cent if necessary

step 1

originally cost $130

sale for 20%

100%-20%=80%=80/100=0.80

$130*0.80=$104 -----> sale price

step 2

all clearance items are marked an additional 35% off the sale price

100%-35%=65%=65/100=0.65

$104*0.65=$67.60

therefore

the general form of the line is

where m is the slope of the line and b the y-intercept

we get the slope from the statement m=-6

now to find the value of b we replace the point (-2,4) and solve for b

now replace the value of b

and transform to the standard form placing the unknows on the same side

we can reorganize

then right option is Third option

Define Synthetic Division: In algebra, the synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division

When finding slant asymtoptes, I prefer synthetic division to find the equation of the line. This is because:

(i) it allows one to calculate without writing variables

(ii) it also uses calculations and takes significantly less space on paper than long division.

(iii) the subtarction in long division are converted to additions by switching the signs at the very begining, preventing sign errors

We want to find the measure of the ∠ACE. For doing so, we are going to use some geometrical properties with the information given.

As D is the midpoint of AB, we have that:

And as E is the midpoint of BC, we have:

Moreso, we can say that:

And thus, the sides are proportional. As both triangles have the angle:

We can say that the triangles ABC and DBE are similar by the Theorem SAS (side-angle-side):

Thus, their sides are proportional, and their corresponding angles are congruent.

As the angles ACE and DEB are corresponding (on the two triangles), they have the same measure:

This means that the value of x is 9. Now, replacing on the value of ACE, and we get:

Thus, the value of the angle ∠ACE is 56°.

EXPLANATION:

-We must first know what data the exercise gives us.

-We must formulate the exercise based on the data we have, knowing that in the end the total value must be 120

-To find the width value we must work with an unknown or variable which in this case will be w.

-Since a rectangular court has two widths and two lengths, we propose the exercise as follows:

Surface Area of a Cube

A cube has 6 faces or surfaces, all of them have the same size and therefore, the same area.

The surface area of one of the faces is the area of a square of side length 9 ft:

The total surface area is 6 times this area, thus: