$20 off, 30% original price

Answer:

1 hour

Step-by-step explanation:

Since the penguin supposedly walks a 1 mile per hour, it would take one hour to achieve 1 mile

First of all, let's draw the net:

In which l= 3 units, h=2 units and w= 4 units.

The surface area will be:

SA= 2*h*w +2*l*w + 2*h*l

SA = 2*2*4 + 2*3*4 + 2*2*3

SA =16+24+12

SA= 52units²

The volume will be:

V=L*h*w

V= 3*2*4

V= 24 units³

Answer:

48 push ups

Step-by-step explanation:

40 push ups in 5 days can be modelled with the fraction 40/5

you can simplify that to 8/1 after dividing both sides by 5

now set that equal to push ups over 6

but first you must declare a variable for push ups

let x = push ups

8/1 = x/6

multiply both sides by 6

48/1 = x

x = 48

that is your answer

48 push ups

To know how many reflections are made per day, a division is made between the days and the total number of reflections.

40 Flexions ➗ 5 days = 8 flexions a day.

Every day it has 8 flexions, in multiply the 6 days for the 8 flexions of each, then.

8 flexions (1 day) ✖ 6 days = 48 flexions.

Answer: 48 flexions = 6 days ✅.

Area of circle A is 113.04 in²

Area of circle B is 200.96  in²

Area of circle C is 452.16  in²

Area of circle B is 254.34  in²

The number of times that the area of Circle D greater than Circle A is 2.25

A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

Area of circle A = 3.14 x 6² = 113.04 in²

Area of circle B = 3.14 x (6 + 2)² = 200.96  in²

Area of circle C = 3.14 x (8 + 4)² = 452.16  in²

Area of circle B = 3.14 x (12 - 3)² = 254.34  in²

Number of time that is the area of Circle D greater than Circle A = 254.34  in² / 113.04 in² = 2.25

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

#SPJ1

Answer:

See below

Step-by-step explanation:

3 / (6i)    =   3 / (6 * sqrt(-1) )

To rationalize the denominator , multiply both top and bottom of the fraction by   ( 6i)

=  18i / ( 6i * 6i)   = 18i / (36 i^2 ) = 18 i / (-36 ) = - i/2

The correct option is option D) it has range of 22

What is the range of a dataset?

It the difference between the minimum and maximum value of the dataset.

We are given a dataset with a histogram and we are asked to find out which of the given options does not describe the data

We find the answer by eliminating the correct option

Our given dataset contains 10 points

Hence the median will be the average of 5th and 6th element

Here the 5th and 6th elements are 17

Hence the median of the dataset is 17

Similarly 17 is repeated 4 times in the dataset. i.e highest number of times

Hence 17 is the mode of the dataset

If you look clearly at the histogram from median it is symmetrical that is left side equal to the right side

But if you look at the range the minimum value is 13 and maximum value is 21

Hence the range of the function is 21-13=8

And not 22

Hence the correct option is option D)

To learn more about median please refer

https://brainly.com/question/26151333

#SPJ13

The materials and cost of Kara's project obtained using Pythagorean theorem, are;

(a) Distance between fence posts is 2•√(14) feet

(b) Kara needs about 12 fence posts

(c) Kara will need 22 diagonal pieces

(d) Kara's total cost is $281

Pythagoras theorem can be stated as, the square of the length of the hypotenuse side of a right triangle is equal to the sum of the squares of the other two sides.

The drawing obtained from a similar question consists of two diagonals between consecutive posts.

(a) The given parameters are;

Height of the fence post = 5 feet

Length of the diagonal pieces = 9 feet

The distance, d, between the fence posts using Pythagorean theorem gives;

d² = 9² - 5² = 56

d = 2•√(14)

The distances between the fence posts should therefore be 2•√(14) feet

(b) The number of fence posts, n, is given by the equation;

2•√(14) × n = 93

Which gives;

[tex] \displaystyle {n = \frac{93 }{2 \cdot \sqrt{14}} \approx 12.43}[/tex]

Given that after the 12th post, the 1st post comes next and the distance remaining is less than d, the number of posts, n is 12

(c) The number of diagonal pieces, m, needed, given that there are two diagonal pieces between two posts and there is only 11 in between spaces, gives;

m = 2 × 11 = 22

There are 22 diagonal pieces

(d) Cost of a fence post = $17

Cost of a diagonal piece = $3.5

Total cost, C, is therefore;

C = 12 × 17 + 22 × 3.5 = 281

Kara's total cost is $281

Learn more about Pythagorean theorem in mathematics here:

https://brainly.com/question/14461671

#SPJ1

Answer:

44

:)

Step-by-step explanation:

Answer:

5, 11, 8

Step-by-step explanation:

I did the quiz and got it correct :]

Answer:

No, it is not.

Step-by-step explanation:

A function only has exactly one output for each input. In other words, for each X input, there is only one Y output. In the given set of coordinates, 3 is repeated as an input, which makes this set of coordinates not a function.

The triangle ABC is an equilateral triangle. This means that each angle equals 60°. Hence, the angle at B is 60°.

The length of each side of ABC is given to be 3 cm long.

We can get the length of side AD by solving the triangle ABD using the Cosine Rule given to be:

Since we're considering triangle ABD, and we have the measure of angle B, we can use the relationship:

Note that a, b, and d are the sides, such that:

Substituting these values, we have:

The length of AD is 6.08 cm to 2 decimal places.

Solution:

Let each cubic block be represented with x

Let each spherical block be represented with y

Let each cylindrical block be represented with z

For A,

3x + y = 2y + z

For B,

3x = 5y

For c,

We want to find 3x + 3y

From

3x + y = 2y + z

3x +y -2y =z

3x-y = z-----------------------(m)

From B,

3x = 5y

Substitute 3x = 5y into (m) above

3x-y = z

5y-y = z

4y = z----------------------------------(b)

From C,

3x + 3y = 5y + 3y = 8y

3x + 3y = 2(4y)

3x + 3y = 2z

Recall, z = cylindrical block

The two blocks that will balance C is cylindrical block

One of the many branches of mathematics is algebra, which is derived from the Arabic word al-jabr, which means "reunion of fractured pieces, bonesetting."Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Solve the problem?

      16x+12y=744

    =  16x+12y=744

      16x= 744-12y

   divide both sides by 16

     16x/16=744-12y/16

     x= 744-12y/16

    744-12y by 16

    x =-3y/4+93/2

   solving y

   16x+12y=744

     12y =744-16x

    divide by 12

   12y/12 =744-16x/12

   y= 744-16x/12

     y=-4x/3+62

  To learn more about algebra refer

  https://brainly.com/question/6143254

    #SPJ13

The polynomial for the given graph is P(x) = (x+2)(x+8)(x-1)(x-4)

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x. In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

Given,

The polynomial for the given graph is:

P(x) = (x+2)(x+8)(x-1)(x-4)

Each non-zero term in a polynomial function is made up of a number, known as the term's coefficient, and a variable raised to a non-negative integer power. A polynomial function can be either zero or the sum of a finite number of non-zero terms.

To learn more about polynomial, visit:

https://brainly.com/question/11536910

#SPJ13

Step-by-step explanation:

You can add the two fractions by turning 1/2 and 5/6 to have the same denominator. Turn 1/2 into a fraction with a denominator of 6. That simplifies to 1 1/3. Hope this helps yo

⇒Given that the general rule to find the nth term is

[tex]T_{n} =-2+6(n-1)[/tex]

⇒To find the 11th term this means that they need a term which is in the position 11

⇒To get the number we plug in the 11 which is the position in the place of n and simplify.

[tex]T_{11} =-2+6(11-1)\\T_{11} =-2+6(10)\\T_{11} =-2+60\\T_{11} =58[/tex]

The 11th term is 58

Goodluck!!!

Deterministic.

The relationship between the variables is deterministic. A deterministic relationship refers to a relationship in which the dependent variable does not depend on other elements (variables) other than the independent element classified in the relationship. The independent variable (element) in the relationship possesses an exact value. Hence deterministic relationship is also named as the exact relationship between variables.

You can learn more about deterministic from:

https://brainly.com/question/28104525

#SPJ4

The volume of the cone is:

The volume of a cone is given by the formula:

Given radius, r = 8, and height, h = 4, we have:

Answer:

Step-by-step explanation:

1.34(b + 2) = 9.38
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex]
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex] x [tex]\frac{100}{100}[/tex]
=>  b+2  = 7
=> b = 7-2
=> b = 5

To solve the equation, we must subject b
so as 1.34 is in multiplication form with (b+2), if we take it to the other side of equals sign, it will be inverse which means it will be dividing 9.38

by multiplying 100/100 with the fraction, the  decimals can be removed (100 because the dot of decimal is considered one and there are two digits after dot, so two zeroes)
then by simple division we can find 7
then as 2 is added with be if it goes to other side it will be inverted and be subtracted from 7
so we get 5

Answer: [tex]x=15[/tex]

Step-by-step explanation:

By the consecutive interior angles theorem,

[tex]150+3x-15=180\\\\3x-15=30\\\\3x=45\\\\x=15[/tex]

The distance between C and D is 17.26 units

What is meant by distance?

Distance is a numerical or qualitative measurement of the distance between two objects or places. Distance can refer to a physical length or an estimate based on other factors in physics or common use (e.g. "two counties over"). Because spatial cognition is a rich source of conceptual metaphors in human thought, the term is frequently used metaphorically to mean a measurement of the amount of difference between two similar objects (such as statistical distance between probability distributions or edit distance between text strings) or a degree of separation (as exemplified by distance between people in a social network). The concept of a metric space is used in mathematics to formalize most such conceptions of measurement, both real and metaphorical.

Distance CD = √{(-9-8)² + (-6+3)²}

                      = √{(-17)² + (-3)²}

                      = √{289 + 9}

                      = √298

                      = 17.26 units

Hence, the distance between C and D is 17.26 units

To know more about distance, click on the link

https://brainly.com/question/12356021

#SPJ9

Answer: 17.3

Step-by-step explanation:

The value of 6 divided by 396 is 0.1515.

Multiplication is the inverse of division. If 3 groups of 4 add up to 12, 12 split into 3 equal groups adds up to 4 in each group in division. The primary purpose of division is to determine how many equal groups are formed or how many people are in each group when equitably sharing.

The steps include:

Step 1: Take the first digit of the dividend from the left.

Step 2: Divide it by the divisor and write the answer on top as the quotient.

Step 3: Subtract the result from the digit and then write the difference below.

Step 4: Bring down the next digit of the dividend.

In this case, 6/396 will give the value illustrated above.

Learn more about division on:

https://brainly.com/question/25289437

#SPJ1

Answer:

u = 24

Step-by-step explanation:

-7/8u = -21

Solve for u

Multiply each side by -8/7

-8/7 *-7/8u = -21 *-8/7

u =3*8

u = 24

Answer:

u = 1/24

Write the equation:

–7/8u = –21

Get rid of fraction:

–7/2^3 • u = –21

–7 = ( – (8u) ) 21

Solve:

–7 = –8u + 21

–7 + 8u = –8u + 8u + 21

–7 + 8u = 21

–7 + 7 + 8u = 21 + 7

8u = 21 + 7

8u = 28

u = 1/24

Hope that helps! Have an amazing rest of your day! Please consider giving me the brainliest! :)

Answer: 320x + 256

Step-by-step explanation:

Length =9 , second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

L= 4 + W

Area is 45, so

L times W = 45

substituting the value of L, we get (4+W)*W=45, after simplifying this we get

4W+W2=45

W2+4W-45=0, this is a quadratic equation and after solving this we get the factors 9 and -5

( W+9) and (W-5) = 0

we get W=-9 or W=5, since width cannot be negative, so width = 5

substituting the value of W=5 in L = 4 +5, we get length = 9

To learn more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ1

Second-order polynomial equation in one variable, length = 9. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

A quadratic equation, or second-order polynomial equation with a single variable, is x ax2 + bx + c = 0. a 0. Since it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution. The solution might be straightforward or difficult.

L= 4 + W

Since the area is 45, L times W = 45. Substituting the value of L, we get (4+W)*W=45. Simplifying this, we get 4W+W2=45. W2+4W-45. = 0. This is a quadratic equation, and after solving it, we get the factors 9 and -5. Since width cannot be negative, we get W=-9 or W=5. Substituting the value of W=5 in L = 4 + 5,

To learn more about quadratic equation refer to:

https://brainly.com/question/1214333

#SPJ1

The total earnings for the week for the same wage per hour is $501.6.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For 5 of working earnings is $76

Hourly rate = 76 / 5 = $15.2 per hour
Now for 33 hours of working in a week,
Earning = 15.2 * 33 = $501.6

Thus, the total earnings for the week for the same wage per hour is $501.6.

Learn more about arithmetic here:

https://brainly.com/question/11559160

#SPJ1

Answer:

AD

Step-by-step explanation:

Congruent angles simply means angles that are equal. A triangle has three angles . Since one of the angle is given as 98 degree, the other 2 angles which are congruents are therefore equal. The total angle of a triangle is equals to 180 degree. Therefore,

x = 41 degree

Answer:

A)  8/15

Step-by-step explanation:

3 / 5 x 8/9

(3/5)(8/9)

(3*8)/(5*9)

(24/45)

8/15

Answer:

8/15

Step-by-step explanation:

3 / 5 x 8/9

Multiplying fractions

Rewriting

3/9 * 8/5

Simplify

1/3 * 8/5

Multiply the numerators

1*8 =8

Multiply the denominators

3*5 = 15

8/15

The value of the function c(75) for  c(p) = 0.15p is c(75) = $11.25

From the question, the function definition is given as

c(p) = 0.15p

The above function is a linear function

This is so because it is represented as  y = mx where m is the slope

The function value to calculate is given as

c(75)

This means that we calculate c(p) when p = 75

So, we have

c(75) = 0.15(75)

This gives

c(75) = 0.15 x (75)

Evaluate the product

c(75) = 11.25

Hence, the function value is c(75) = 11.25

Read more about functions at

https://brainly.com/question/28532394

#SPJ1