A piece of wood is designed in the shape of a cone. A cylindrical hole of radius 4cm and 2cm has been drilled into the base. The surface area of the piece of wood has to be painted, except from the area inside the hole work out the surface area to be painted give your answer in the terms of pi thank you

On the seventh day, following the pattern of doubling the increment from the previous day, the biker would bike 16.6 miles.

To determine how many miles will be biked on the seventh day, we need to recognize the pattern in the distances biked each day. Starting with the first day and continuing through the fourth day, we see increases of 0.2 miles, 0.4 miles, and 0.8 miles respectively. It seems that each day, the increment from the previous day doubles.

Following this pattern, the distances for the next three days would be:

Therefore, the biker would bike 16.6 miles on the seventh day of training following this pattern.

The blade covers an area of 235.714 square inches in one swipe.

In this question, we are to calculate the area that is covered by blade cover of the windshield wiper blade in 1 swipe.

To calculate this, we shall be using the formula for the area of the sector. The sector in this case subtends an angle of 120 degrees at the centre.

Mathematically, the area covered by the blade in one swipe is

A = θ/360 * pi * r^2

where θ = 120 degrees and r = 15 inch

A = 120/360 * 22/7 * 15^2

= 1/3 * 22/7 * 225 = 22 * 75/7 = 235.714 square inches

Find attached to the question, a hand drawn diagram of the circle.

Complete Question

Circle O has radius 3. Points M and N lie on circle O, and mMON is 58

degrees. What is the length of arc MN in radians?

Answer:

The length of arc MN in radians is 3.03687 radians.

Step-by-step explanation:

The formula for arc length =

s = rѲ

Where = = Arc length

r = radius

Ѳ = central angle in degree

In the question we were given the following values

r = radius = 3 units

Ѳ = central angle in degree = 58°

We were told to calculate arc length in radians

Therefore, we would convert 58° to radians using the formula

Degree ×  π/180

= 58 ×  π /180

= 1.012 radians.

Therefore, Arc length in radians =

S = rѲ

S = 3 × 1.0122909662 radians

= 3.0368728985 radians.

Approximately = 3.03687 radians.

Therefore, the length of arc MN in radians is 3.03687 radians.

Answer:

8+24x^8

Step-by-step explanation:

Final answer:

The polynomial in standard form is –x⁴ + 6x³ + 7x² – 4x – 4, with terms ordered from the highest degree to the lowest degree.

Explanation:

To write the polynomial 7x²-4+6x³-4x-x⁴ in standard form, we need to arrange the terms in descending order of their exponents. The standard form for a polynomial is to start with the highest degree term and go down to the constant term.

So, the polynomial in standard form will be:

-x⁴ + 6x³ + 7x² - 4x - 4.

This polynomial is now in the proper order and ready to be used for further algebraic operations such as factoring or solving for specific values of x.

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

just did it on Edge

1,000,000 is 1,000 times greater then 1,000

Step-by-step explanation:

If you multiply 1,000x1,000 you'll get an answer of 1,000,000

Therefore, 1,000,000 is going to be 1,000 times greater

Answer:

$4.32

Step-by-step explanation:

We want to write a proportion to solve

50 lbs            8 lbs

-----------    = --------- -----

27 dollars       x dollars

Using cross products

50x = 8*27

50x=216

Divide each side by 50

50x/50 = 216/50

x=4.32

Answer:

$4.32

Step-by-step explanation:

Make a proportion using this setup:

pounds/cost=pounds/cost

A 50 pound bag costs $27, and a 8 pound bag costs $x

50 lb/$27=8 lb/$x

50/27=8/x

Cross multiply

50*x=27*8

50x=216

We want to find what a 8 pound bag, will cost (x). To do this, we need to get x by itself.

Since x and 50 are being multiplied, divide both sides by 50

50x/50=216/50

x=216/50

x=4.32

A 8 pound bag of flour will cost $4.32

Answer:

Step-by-step explanation:

P = $ 275

r = 8% = 8/100

t = 16 years

[tex]I=275*\frac{8}{100}*16\\\\I=\frac{35200}{100}\\I=352[/tex]

I =$352

Answer:

352

Explaning:

Lamonting

Answer:

11/6

Step-by-step explanation:

We have been given that a line [tex]y=mx+b[/tex] passes through the point (10, 3) and is parallel to the line [tex]2x+5y=12[/tex]. We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

[tex]2x-2x+5y=12-2x[/tex]

[tex]5y=-2x+12[/tex]

[tex]\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}[/tex]

[tex]y=-\frac{2}{5}x+\frac{12}{5}[/tex]

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be [tex]-\frac{2}{5}[/tex].

Now we will use slope-intercept form of equation to find y-intercept.

[tex]y=mx+b[/tex], where,

m = Slope,

b = The y-intercept.

Let us substitute [tex]m=-\frac{2}{5}[/tex] and coordinates of point [tex](10,3)[/tex] in above equation as:

[tex]3=-\frac{2}{5}(10)+b[/tex]

[tex]3=-2(2)+b[/tex]

[tex]3=-4+b[/tex]

[tex]3+4=-4+4+b[/tex]

[tex]7=b[/tex]

Therefore, the y-intercept is 7 and our required equation would be [tex]y=-\frac{2}{5}x+7[/tex].

Answer:

The answer is -1.

Step-by-step explanation:

( 1 + 3 ) - 6 / 2

(4) - 6 / 2

-2 / 2

-1

Answer:

36in²

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, a square based pyramid.

Step one

The formula for the volume of a square based pyramid is

V=a²h/3

Where a = side of base

h= height

Given data

Volume = 108in³

Height h= 8 in

We can solve for the base a by substituting our data

108= a²* 8/3

a²= (108*3)/8

a²= 40.5

a= √40.5

a= 6.36in

To the nearest whole number

a= 6in

The area of the square based = 6*6

= 36in²

Answer:

D. 36

Step-by-step explanation: stay calm and smile

Answer:

{-2 is the leading coefficient of the quadratic equation }f(x)=-2x^2+5x-4

Step-by-step explanation:

Given the quadratic function

we have to find the leading coefficient of given quadratic equation.

The coefficient of x2 i.e a is known as the leading coefficient.

Comparing given equation with the standard equation, we get

a=-2

Answer:

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

Step-by-step explanation:

Answer options:

The sample size is not large enough to represent the population.

The sample was not chosen at random.

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

The way the sample was chosen does not sample students from each different language class.

Answer:

C

Step-by-step explanation:

The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

Answer:

C

Step-by-step explanation:

Answer:

23/137

Step-by-step explanation:

im guessing i hope u get it right.

Answer:

The answer is 0.33.

trust me =)

Answer:-2=-2 (b)

Step-by-step explanation:

I just took that lesson

Answer:

-2=-2

Step-by-step explanation:

Answer: 6.1 and 6.3

Step-by-step explanation: just did it

Answer:

221

Step-by-step explanation:

Answer:its not showing me the picture

Step-by-step explanation:

Answer:

1.32

4. 35

5. 400

7. 225

8. 260

10. 77

11. 72

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

i think the answer is true

Step-by-step explanation:

Answer:

Effective annual yield = 0.05094534 or 5.094%

Step-by-step explanation:

Given:

Rate of interest (r) = 5% = 0.05

Interest = compounded quarterly

Find:

Effective annual yield = Y

Computation:

[tex]Y=(1+\frac{r}{n} )^n-1\\\\Y=(1+\frac{0.05}{4} )^4-1\\\\Y=(1+0.0125 )^4-1\\\\Y=(1.0125 )^4-1\\\\ Y=1.05094534-1\\\\Y=0.05094534\\\\\\[/tex]

Effective annual yield = 0.05094534 or 5.094%

The effective annual yield of a 5% interest rate compounded quarterly is calculated to be approximately 5.1%.

To find the effective annual yield of a passbook savings account with a rate of 5% compounded quarterly, follow these steps:

Identify the nominal interest rate and the compounding periods per year:

Nominal rate (r ): 5% or 0.05,

Compounding periods (n ): 4 (quarterly).

Use the formula for effective annual yield (A):

A = (1 + r/n)ⁿ - 1

Plug the numbers into the formula:

A = (1 + 0.05/4)⁴ - 1

Calculate inside the parentheses first:

1 + 0.05/4 = 1.0125

Raise the result to the power of 4:

(1.0125)⁴ ≈ 1.05095

Subtract 1 to get the effective annual yield:

1.05095 - 1 ≈ 0.05095 or 5.095%

Therefore, the effective annual yield is approximately 5.1%, rounded to the nearest tenth of %.

Complete question:

A passbook savings account has a rate of 5%. Find the effective annual yield if the interest is compounded quarterly. The effective annual yield is %. (Round to the nearest tenth as needed.)

Answer:

See below

Step-by-step explanation:

Your question is a bit unclear, so I'm going to assume you want the value of y or x:

(y+3)^2=-12(x-2)

-(y+3)^2/12=x-2

-(y+3)^2/12+2=x

(y+3)^2=-12(x-2)

y+3=sqrt(-12x+24)

y=sqrt(-12x+24)-3

Known :

Sa = 28.26 ft

Asked :

d = ...?

Answer :

Sa = 4πr²

28.26 = 4 × 3.14 × r²

28.26 = 12.56 r²

r² = 28.26 ÷ 12.56

r² = 2.25

r = √2.25

r = 1.5 ft

diameter = 2 × radius = 2 × 1.5 = 3 ft

So, the diameter is 3 ft (2nd choice)

Hope it helpful and useful :)

Step-by-step explanation:

SA = 4 [tex]\pi[/tex]

28.26 = 4 × 22/7 × r²

r³ = 28.26 × 7/88

r² = 2.25 ft²

r = 1.5 ft

Diameter = 2 × r = 3 ft

Answer:

You should be able to answer the question in 35 different ways.

Step-by-step explanation:

5 * 7 = 35

That's how I see it.

Final answer:

Using the Fundamental Counting Principle, there are  [tex]5^7[/tex] or 78,125 ways to answer a 7-question multiple-choice test where each question has 5 answer choices.

Explanation:

To determine the number of ways you can answer a multiple-choice test with 7 questions, where each question has 5 answer choices, you can use the Fundamental Counting Principle. This principle states that if there are n ways to do something and m ways to do another thing, then there are n*m ways to do both things.

In this case, for each of the 7 questions, you have 5 possible answers. So, the number of ways to answer all questions is 5 * 5 * 5 * 5 * 5 * 5 * 5, or  [tex]5^7[/tex]. Therefore, there are 78,125 ways to answer the 7 questions on the test.

Answer:

slope = 1

Step-by-step explanation:

(3,0)   ; (0, -3)

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-0}{0-3}\\\\=\frac{-3}{-3}\\\\=1[/tex]

To find the volume of a triangular prism, multiply the base area by the height. The formula for the volume of a prism is V = base area x height. In this case, the base is a triangle, so calculate the area using the formula for the area of a triangle. Substitute the values and multiply the base area by the height to find the volume.

To find the volume of a triangular prism, we need to multiply the base area by the height. The formula for the volume of a prism is:

V = base area x height

In this case, the base of the prism is a triangle, so we calculate the area using the formula for the area of a triangle:

area = (base x height) / 2

Substituting the given measurements, we have:

base = 3 cm, height = 4 cm, height of prism = 11 cm

First, find the area of the triangle: area = (3 cm x 4 cm) / 2 = 6 cm².

Then, multiply the base area by the height of the prism: volume = 6 cm² x 11 cm = 66 cm³.

Answer:

2x+2y=128

Step-by-step explanation:

multiply X by 2 then by 7 + 2 multiply by y and7 after getting whole numbers minus from 132 and add

Final answer:

The probability of pulling a red marble, then pulling a blue marble without replacement is approximately 0.114.

Explanation:

To calculate the probability of pulling a red marble, then pulling a blue marble without replacement, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The number of red marbles is 5, and the number of blue marbles is 4. When the first marble is pulled, there are a total of 12 marbles. So, the probability of pulling a red marble on the first draw is 5/12.

After pulling out a red marble, the number of blue marbles becomes 3. So, the probability of pulling a blue marble on the second draw is 3/11.

To calculate the overall probability, we multiply the probabilities of each event:

P(Red and then Blue) = P(Red) × P(Blue | Red) = 5/12 × 3/11 ≈ 0.114

Final answer:

The probability of drawing a yellow marble and then a green marble without replacement is 0.1.

Explanation:

The probability of drawing a yellow marble and then a green marble without replacement is calculated as follows:

Calculate the probability of drawing a yellow marble first: 2/9 (2 yellow marbles out of a total of 9 marbles).

Now, after drawing a yellow marble, there are 8 marbles left. Calculate the probability of drawing a green marble next: 4/8 (4 green marbles out of the remaining 8).

Multiply the two probabilities: (2/9) * (4/8) = 1/9 = 0.1111 (rounded to the nearest tenth).