An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answer: I don't really know exactly what you are asking for but does this help? 8x4y-6

Step-by-step explanation:

Distribute the 1/2 to each of the factors. If you need me to explain further please let me know :)

Answer:  8x⁸y - 6

Step-by-step explanation:

[tex](16x^8y - 12) \times \bigg(\dfrac{1}{2}\bigg)\\\\\\=\dfrac{16x^8y}{2}-\dfrac{12}{2}\\\\\\=8x^8y-6[/tex]

Answer: 90 degrees clockwise

Subtract the angles to get the answer

135 - 045 = 90

In terms of compass bearings, 045 degrees is directly pointed at northeast while 135 degrees is pointed directly at southeast. We have 0 degrees pointed straight north.

Answer: a) sample

b) quantitive.

Step-by-step explanation:

Given: A recently published research study looked at 3000 people over a period of 15 years and determined that those people who ate fast food two or more times per week had gained an average of 10 pounds more than the group who ate fast food less than twice a week.

Here, population  = "people who ate fast food two or more times per week"

Since a census is the data of all members in a population whereas a sample is a subset of it.

Then, 3000 people constitute a sample as it is a subset of the population.

Since the researcher's point of interest it to measure average weight gain which is a quantitive measure.

So, the data is quantitative.

Answer:

565.2 inches

Step-by-step explanation:

circumference = 2pi r

=2x3.14x15

=94.2

6 revolutions =6x94.2=565.2

Let the total weight of the candy = x

We know the total weight is:

X = 3/20x + 1.2 + 3/5x+ 0.3

Simplify:

X= 3/20x + 1.2 + 12/20x + 0.3

X = 15/20x + 1.5

Subtract 15/20x from both sides:

5/20x = 1.5

Divide both sides by 5/20:

X = 1.5 / 5/20

X = 6

Total = 6 pounds.

*see the attachment below showing Lewis' work

Answer:

*He simplified √400 incorrectly. It should be 20 instead of 200.

*He found the difference between the hypotenuse and the short leg instead of the long leg

Step-by-step explanation:

=>Going through the work of Lewis, you'd observe that in the 5th line where Lewis was supposed to simplify √400, he made a mistake by writing 200 instead of 20. The square root of 400 is 20 not 200.

=>Also, the length of the longest leg of the right angled triangle that Lewis is supposed to subtract from the length of the hypothenuse is 16 NOT 12.

The difference between the length of the hypothenuse and the length of the longest Leg = 20 - 16 = 4

Answer: A & B homies...

person up top is correct also...

Step-by-step explanation: on edg 2020

Answer:

correct answer is D

Step-by-step explanation:

Answer:

Square pyramid

Step-by-step explanation:

The flat square on the bottom is 1 face and there are 4 triangle faces.

The flat square on the bottom has 4 vertices and there is the pointy 1 at the top that holds the 4 triangles.

Hope dis helps,

Have a great day.

Answer:

Square Pyramid

Step-by-step explanation:

Only a square Pyramid has 5 faces and 5 vertices.  The right one!

A rectangular prism has 6 faces and 8 vertices.   Wrong

A cone has 1 face and 0 vertices.                          Wrong

A triangular prism has 5 faces and 6 vertices.      Wrong

Answer:

Its the first answer 24

Answer:

m∠APC = 30°

Step-by-step explanation:

To solve for the above question, we would be making use of circle theorems

Looking at the circle, we can see that

m∠APC is an Angle outside the circle

m∠AOC is a smaller arc in the circle.

Therefore, Circle Theorem states that for a circle with two tangents,

The Angle outside the circle + The smaller arc = 180°

Hence,

m∠AOC + m∠APC = 180°

m∠APC = 180° - m∠AOC

m∠APC = 180° - 150°

m∠APC = 30°

Answer:

14

Step-by-step explanation:

[tex]\frac{18}{45}[/tex]= [tex]\frac{x}{35}[/tex]

18 x 35= 45x

630=45x

x=14

Answer:

y=4x-5

Step-by-step explanation:

y=mx+b,

You can identify that the y-intercept is -5.

Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.

Slope = 4

Y-intercept=-5

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

 First we have to find slope (m) of line.

                       [tex]m=\frac{0-(-5)}{1-0} =5[/tex]

So, equation of line becomes,

                           [tex]y=5x+c[/tex]

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  [tex]y=5x-5[/tex]

Learn more:

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Answer:

29

Step-by-step explanation:

The formula for lower quartile(Q1) = 1/4(n + 1)th term

Where n = number of terms.

For Data set A = 73, 75, 79, 81, 84, 85, 86, 86, 89, 91, 94, 95

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 79

4th term = 81

3.25th term = 79 + 81/2

= 160/2

= 80

For Data set B = 47, 49 , 51, 51, 55, 56, 57, 58, 59, 59, 61, 62

n = 12

Q1 = 1/4 (n + 1) th term

Q1 = 1/4(12 + 1) th term

Q1 = 1/4(13) th term

Q1 = 3.25th term

The 3.25th term is data set A is between the 3rd and 4th term

3rd term = 51

4th term = 51

3.25th term = 51 + 51/2

= 102/2

= 51

The difference between the lower quartile of Data Set A and Data Set B =

80 - 51 = 29

Answer: D

Step-by-step explanation:

It is the only graph with 3 on 40-49.

Hope it helps <3

Answer:

[tex]B(x,y) = (-3,0)[/tex]

Step-by-step explanation:

Given

[tex]A = (6,-6)[/tex]

[tex]C = (-6,2)[/tex]

[tex]AB = \frac{3}{4} AC[/tex]

Required

Find coordinates of B

First, we need to convert [tex]AB = \frac{3}{4} AC[/tex] to ratio [tex]AB:BC[/tex]

SInce [tex]AB = \frac{3}{4} AC[/tex], then

[tex]AB : BC = 3 : 4 - 3[/tex]

[tex]AB : BC = 3 : 1[/tex]

The coordinates of B can then be calculated as follows;

[tex]B(x,y) = (\frac{nx_1 + mx_2}{n + m},\frac{ny_1 + my_2}{n + m})[/tex]

Where

[tex]A(x_1,y_1) = A(6,-6)[/tex]

[tex]C(x_2,y_2) = A(-6,2)[/tex]

[tex]m:n = 3 : 1[/tex]

Substitute these values in the given formula;

[tex]B(x,y) = (\frac{1 * 6 + 3 * -6}{1 + 3},\frac{1 * -6 + 3 * 2}{1 + 3})[/tex]

[tex]B(x,y) = (\frac{6 -18}{4},\frac{-6 + 6}{4})[/tex]

[tex]B(x,y) = (\frac{-12}{4},\frac{0}{4})[/tex]

[tex]B(x,y) = (-3,0)[/tex]

Hence, the coordinates of B is [tex](-3,0)[/tex]

Answer:

23

Step-by-step explanation:

We can write h^8 as h^(4+4) = h^4*h^4. So buried inside h^8 are two copies of h^4 multiplied together

So both terms have a greatest common factor of h^4

If you had something like h^4 + h^8, then it would factor to h^4(1 + h^4)

Answer:

Tina

Step-by-step explanation:

Since Amy owns the dog, she doesn't have the ferret and we know that Jewel doesn't have the ferret so the answer is Tina.

The angle ABC is best described as inscribed angle.

Chord of a circle is defined as the line segment that is formed by joining two points which are on the circle.

Diameter is the largest chord.

Given is a circle.

There are two chords which are defined on the circle as AB and BC.

The angle between the two chords is marked as 44°.

Obtuse angle is the angle which is greater than 90°.

Central angle is the angle formed at the center of the circle.

Vertical angle is formed vertically to another angle.

Inscribed angles are those which are formed inside the circle when two chords intersect on the circle.

So ∠ABC is an inscribed angle.

Hence the angle ABC is an inscribed angle.

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Answer:

1. 5²

2. 6p⁵

3. y⁶

4. 1/5w²

5. n⁶/9p⁷

7. 12²

8. 2/5

Answer:

No solution.

Step-by-step explanation:

[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]

There is no solution to the equation.

Answer:

The cost of one hot dog and the cost of one hamburger is $3.25

The cost of one hot dog is $1.75

Step-by-step explanation:

Let the number of hot dogs be represented by d and hamburgers be h

3d + 2h = 8.25 ----- eqn(I)

2d + 3h = 8.00 ----- eqn(II)

From eqn(I): d = (8.25 - 2h)/3

substitute the expression for d into eqn(II)

2d + 3h = 8

2(8.25 - 2h)/3 + 3h = 8

(16.50 - 4h) + 3h(3) = 8(3)

16.50 - 4h + 9h = 24

5h = 24 - 16.50

5h = 7.50

h = 7.50/5 = 1.50

One hamburger costs $1.50

d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75

One hot dog costs $1.75

Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25

Answer:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Step-by-step explanation:

Given

Function; [tex]y = -2x + 8[/tex]

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of:  [tex]y = -2x + 8[/tex]

The slope intercept of an equation is in form;

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

Where m represent the slope

Comparing  [tex]y = m_1x + b[/tex] to [tex]y = -2x + 8[/tex];

We'll have that

[tex]m_1 = -2[/tex]

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

[tex]m_1 * m_2 = -1[/tex]

Substitute [tex]m_1 = -2[/tex]

[tex](-2) * m_2 = -1[/tex]

Divide both sides by -2

[tex]m_2 =\frac{ -1}{-2}[/tex]

[tex]m_2 =\frac{1}{2}[/tex]

The point slope form of a line is;

[tex]y - y_1 = m_2(x - x_1)[/tex]

Where [tex](x_1,y_1) = (-3,9)[/tex] and [tex]m_2 =\frac{1}{2}[/tex]

[tex]y - y_1 = m_2(x - x_1)[/tex]becomes

[tex]y - 9 = \frac{1}{2}(x - (-3))[/tex]

Open the inner bracket

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Hence, the point slope form of the perpendicular line is:

[tex]y - 9 = \frac{1}{2}(x +3)[/tex]

Answer:

1680

Step-by-step explanation:

you can use a calculator or do the normal operation

Answer:

Option B.

Step-by-step explanation:

If equation of a line is y=mx+c, then m is the slope of line.

The given equation is

[tex]y=-\dfrac{2}{3}x+4[/tex]

Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].

We need to find the equation of line that is parallel to given equation and passes through (–2,–2).

We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]

[tex]3(y+2)=-2(x+2)[/tex]

[tex]3y+6=-2x-4[/tex]

[tex]3y=-2x-4-6[/tex]

[tex]3y=-2x-10[/tex]

Divide both sides by 3.

[tex]y=\dfrac{-2x-10}{3}[/tex]

[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]

Therefore, the correct option is B.

Answer:

B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.

Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.

I hope this helped.

Answer:

domain: x cant be equal to 3.75

Step-by-step explanation:

I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.

Anyway, here are my calculations. If the help you somehow to solve the question - great!

If not,srry to disappoint you

Answer:

1

1=1 1<12 1=1 1<4 1<14

12

12=12 12>1  12>1 12>4 12<14

1

1=1 1<12 1=1 1<4 1<14

4

4=4 4>1 4<12 4>1 4<14

14

14=14 14>1 14>12 14>1 14>4

the graph show

the value of h is 3.5

The value of h is -1.5.

The correct option is B.

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

We have,

function f(x) = |x - h| + k and the vertex of function is (h, k).

Here, in this question,

the vertex of the point in the graph (-1.5, -3.5).

Thus, the value of h is -1.5.

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Answer:

-9, 1/5, 12/20

Step-by-step explanation:

-9 is negative so it will always be the least. It helps to turn the fractions into decimals. To do this, you can just divide 1 by 5 and 12 by 20.

1/5 = .2

12/20 = .6

So, 1/5 is less than 12/20.

This makes the order -9, 1/5, 12/20.

Answer:

-9, 1/5 12/20

Step-by-step explanation:

Use 0 as a border.

All numbers less than 0 on one side the rest on the other.

You will have -9 on less than zero and 1/5, 12/20 on the other side.

So -9 is the least.

Now you have 1/5, and 12/20.

Make the denominators equal.

1/5 x 4/4= 4/20, 12/20 x 1/1 = 12/20

Compare the Numerators.

4 is less than 12.

So the answer is -9, 1/5, 12/20.

Feel free to ask questions.