Terrell sells clay pots. He sells 2 clay pots for $6, 3 clay pots for $9, and 4 clay pots for $12. What is the unit rate of dollars per clay pot?

A
1

B
2

C
3

D
4

Answer:

4a - 22x

Step-by-step explanation:

-13x +14a - 12x + 7x - 4x = 4a - 22x

hope this helps :)

Answer:

1/2, 1/4 3/72, .50, .25, etc.

Step-by-step explanation:

An INTEGER is a whole number, positive or negative. A number that ISN'T an integer is a fraction or decimal.

Step-by-step explanation:

z+w= 1+3i-3-4i = -2-i

w+z=-3-4i+1+3i = -2-i

So, z+w = w+z

So, complex number addition is commutative

If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

We are aware that the addition's commutative property states that altering the addends' order will not affect the sum.

Here z = 1 + 3i and w = -3 - 4i.

Now, z + w = 1 + 3i - 3 - 4i = 1 - 3 + 3i - 4i = - 2 - i

and w + z = - 3 - 4i + 1 + 3i = - 3 + 1 - 4i + 3i = - 2 - i

i.e. z + w = w + z

Clearly, the addition obeys the commutative property.

Therefore we can conclude that If z = 1 + 3i and w = -3 - 4i, then z + w = - 2 - i and w + z = - 2 - i, which supports that complex number addition is commutative.

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Answer:

x>1

Step-by-step explanation:

let's make this an inequality.

5-5x<0

let's solve.

-5x<-5

x>1

therefore, the value of x must be larger than 1 for this statement to make sense.

The value of x has to be greater than 1 in order for the expression to make sense.

Answer:

[tex]m=\frac{9}{10}[/tex]

Step-by-step explanation:

To find the slope between any two points, we can use the following slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-7, -1) be (x₁, y₁) and let (3, 8) be (x₂, y₂). Substitute them into the slope formula:

[tex]m=\frac{8-(-1)}{3-(-7)}[/tex]

Evaluate:

[tex]m=\frac{9}{10}[/tex]

Therefore, the slope between the two points is 9/10.

Answer: I think the answer is B.) 570

Answer:

what is the question?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

The answer is 12,

Step-by-step explanation:

12 is the coefficient because it is the number multiplied by the variable p in the equation.

Answer:

18 times four is 72

Step-by-step explanation:

Answer:

14xy/(10x+7y)^

Step-by-step explanation:

Angle sum property = Sum of the three angles of a triangle will be equal to 180° .

Using this let us find out the measure of x .

Measure of first angle = 101°

Measure of second angle = 38°

Measure of third angle = x

[tex]101 + 38 + x = 180[/tex]

[tex]139 + x = 180[/tex]

[tex]x = 180 - 139[/tex]

[tex] = x = 41[/tex]

[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]

Answer: 53

Step-by-step explanation: I just woke up I’m too tired to explain

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Both the empty set and the total set are subsets of the given set.

Hence there are 4 subsets.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Answer:

its line fjfjfjjejjdjdj

As per the given condition, the required one dimensional object with no end point is a line.

"In geometry, a ray can be defined as a part of a line that has a fixed starting point but no end point. It can extend infinitely in one direction.

On its way to infinity, a ray may pass through more than one point. When naming a ray, it is denoted by drawing a small ray on top of the name of the ray. "

"A line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints."

"A line is a one-dimensional object, which has length but no width. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. "

"A point is a primitive notion that models an exact location in the space, and has no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space."

Given, a one dimensional object with no endpoint.

Therefore, the require object is a line.

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Answer/Step-by-step explanation:

STATEMENT ====> REASONS

1. m<AOB = 180° ==> 1. Definition of straight angle

2. m<AOF + m<FOG + m<GOB = m<AOB ==> 2. Angle Addition Postulate

3. (5x - 15)° + 90° + 2x = 180° ==> 3. Substitution

4. Solve as algebra to get x

5x - 15 + 90 + 2x = 180

Collect like terms

5x + 2x - 15 + 90 = 180

7x + 75 = 180

Subtract 75 from both sides

7x + 75 - 75= 180 - 75

7x = 105

Divide both sides by 7

7x/7 = 105/7

x = 15 ===> 4. Algebra

Answer:

Oiiiiio ka cha thik cha

Answer:

C= -5t+30

The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.

Step-by-step explanation:

Answer:

-5[tex]x^{3}[/tex] + 65x + 60

Answer:

Step-by-step explanation:

                           Over 4 million USD    Under 4 million USD    Total

Summer release      57                               1195                         1251

Winter release         11                                533                           544

1)Let [tex]P_1[/tex] be the proportion of movies that earn over 400 million in summer and [tex]P_2[/tex] be the proportion of movies that earn over 400 million in winter.

Null hypothesis:[tex]H_0:P_1= P_2[/tex]

Alternate hypothesis : [tex]H_a: P_1 \neq P_2[/tex]

2)Calculate the difference in the proportions of movies that earned over 400 million dollars.

[tex]P_1=\frac{57}{1251}=0.045[/tex]

[tex]P_2=\frac{11}{544}=0.0202[/tex]

3)

[tex]P_{(Summer)}-P_{(winter)}=0.045-0.0202=0.0248[/tex]

We write Summer on 1251 cards and cards representing the movies with summer release date, and Winter on 544 cards. Then, we shuffle these cards and split them into two groups one group of size 68 representing the movies with box-office over 400 million dollars, and another group of size representing 1728 the rest of the movies.

Answer:

134499

Step-by-step explanation:

When someone asks for the product of something they are saying multiply the two values.

So,

419 x 321 = 134,499

Answer:

$134,499

Step-by-step explanation:

The product is the result of two numbers that are multiplied. In this case 419 and 321.

419 x 321 = 134,499

Answer:

it is 16 to 32

Step-by-step explanation:

if you divided 16 by 8 and 32 by eighth you get 2:4

Answer:

5 is in the hundreths place :))

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

Answer:

Option C:Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

We are given the function;

f(x) = (x - 3)(x + 7)

The axis of symmetry in a quadratic equation is given by the formula;

x = -b/2a

Expanding the function given, we have;

f(x) = x² + 4x - 21

a = 1

b = 4

c = - 21

Thus;

Axis of symmetry is:

x = -(4)/(2 × 1)

x = -2

Now, y-intercept is when x = 0

Thus;

f(0) = (0 - 3)(0 + 7)

f(0) = - 3 × 7 = - 21

y - intercept is (0, - 21)

x-intercept is when f(x) = 0

Thus;

(x - 3)(x + 7) = 0

Thus;

x - 3 = 0 or x + 7 = 0

x = 3 or x = - 7

x - intercept is (-7, 0) and (3,0)

The y-coordinate of vertex will be at the line of axis of symmetry.

Thus, we will put x = -2 into the function to get;

y = (-2 - 3)(-2 + 7)

y = -5 × 5 = - 25

Vertex is at (-2, -25)

Correct Answer is option C

Answer:

Vertex = (–2,–25), y-intercept = (0,–21), x-intercepts = (–7,0) and (3,0), axis of symmetry is x = –2

Step-by-step explanation:

Answer:

The area of this circle is [tex](\frac{\pi}{2} )[/tex]  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Step-by-step explanation:

Area of the circle is given by;

[tex]A_c = \frac{\pi d^2}{4}[/tex]

Area of the square is given by;

[tex]A_s = L^2[/tex]

relationship between the edge length of the square, d, and length of its side, L,

[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]

But area of the square , [tex]A_s = L^2[/tex]

[tex]d = \sqrt{2A_s}[/tex]

Then, the area of the square in terms of the edge length is given by;

[tex]A_s = \frac{d^2}{2}[/tex]

Area of the circle in terms of area of the square is given by;

[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]

Flux through the surface of the square is given by;

[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is [tex]\dfrac{2}{\pi}[/tex]  ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]

The area of the square is;

[tex]\rm Area \ of \ square = a^2[/tex]

The relationship between the edge length of the square, d, and length of its side a is;

[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;

[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]

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Answer:

Step-by-step explanation:

try a none of them match because if you add 35 and 7 to each side none of them match up but the first is the closest

Answer:

-16.7

Step-by-step explanation:

(2°F − 32) × 5/9 = -16.7°C