A. Use the cartesian plate on the right to plot all the points.
Pt. A (-4, 3) pt. D (0, -3)
Pt. B (2, 5) pt. E (-5, -2)
Pt. C (5, -1)

*109

eight feral 103721

Using the properties of an arithmetic sequence we can conclude that the total number of match boxes is 66.

There is a consistent distinction between the words in a sequence of numbers known as a "arithmetic progression" or "arithmetic sequence" (AP).

We know that the bottom row of the pyramid has 11 matchboxes .

As we can see in the figure that the each succeeding step has one matchbox less.

Therefore the number of matchboxes in each row is in an AP.

Therefore the AP has a common difference of  -1 and the first term is 11

The last term of the AP is 1.

Therefore

aₙ = a + (n-1)d

or, 1 = 11 + (n-1)(-1)

or, n = 11

We know that the sum of all terms of an AP is given by

S=n/2{2a+(n-1)d}

or, S = 11/2 {2×11 + (10)(-1)}

or, S = 66

Therefore from the arithmetic progression we calculate that the total number of match boxes is 66.

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Answer:

736 - 155 = 581.

581 divided by 12 is 48.416.

that means the minimum number of sets of knives Kaj should buy is 49.

Step-by-step explanation:

Answer: 9/4 and -2/1 (or -2)

Step-by-step explanation: Reciprocals are just the fraction flipped

Answer:

2

Step-by-step explanation:

[tex]6(1+2r)-3(1-8r)=75 \\ \\ 6+12r-3+24r=75 \\ \\ 3+36r=75 \\ \\ 36r=72 \\ \\ r=2[/tex]

Answer: -2+i

Step-by-step explanation:

By the conjugate root theorem, since the coefficients are real, the complex conjugate of a root must also be a root.

Answer:

alternate angles and corresponding angles.

and vertical opposite angles

Step-by-step explanation:

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Answer:

Number of balls of clay: 10

Step-by-step explanation:

The volume of the cube is  [tex]$V_{\text{cube}}=7^3=343,$[/tex]

and the volume of a clay ball is: [tex]$V_{\text{ball}}=\frac43\cdot\pi\cdot2^3=\frac{32}{3}\pi.$[/tex]

Since the balls can be reshaped but not compressed, the maximum number of balls that can completely fit inside a cube is

[tex]\[\left\lfloor\frac{V_{\text{cube}}}{V_{\text{ball}}}\right\rfloor=\left\lfloor\frac{343}{\frac{32\pi}{3} }\right\rfloor.\][/tex]

Approximating with [tex]$\pi\approx3.14[/tex]

We have:

[tex]\[\left\lfloor\frac{V_{\text{cube}}}{V_{\text{ball}}}\right\rfloor=10.23565228[/tex]

We simplify to get:

[tex]\[\left\lfloor\frac{V_{\text{cube}}}{V_{\text{ball}}}\right\rfloor\approx10[/tex]

So:

[tex]\boxed{number\ of\ balls = 10}.$[/tex]

Answer:

p [tex]\geq[/tex] 6

Step-by-step explanation:

If one pound costs $7 and he's going to spend at least $42, then he will buy at least as many pounds as what costs $42.

42 divided by 7 equals 6, so he will buy at least 6 pounds of candy.

The two surfaces meet in an ellipse in some plane with [tex]0\le z\le5[/tex], since

[tex]4x^2 + 4y^2 = 5 - 6x^2 - y^2 \implies 10x^2 + 5y^2 = 5 \implies 2x^2 + y^2 = 1[/tex]

so the solid is bounded by the elliptical cylinder with this equation. In cylindrical coordinates, with

[tex]\begin{cases}x = \frac1{\sqrt2} r \cos(\theta) \\ y = r \sin(\theta) \\ z = \zeta \\ dV = dx\,dy\,dz = \frac1{\sqrt2} r \, dr \, d\theta \, d\zeta\end{cases}[/tex]

the solid is the set

[tex]\begin{array}{c} R = \left\{(r,\theta,\zeta) ~:~ 0\le r\le1 \text{ and } 0 \le\theta\le2\pi \text{ and } \right. \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ \left.3r^2 - r^2 \cos(2\theta) \le \zeta \le 5 - 2r^2 - r^2 \cos(2t)\right\} \end{array}[/tex]

and the volume is given by the integral

[tex]\displaystyle \iiint_R dV = \frac1{\sqrt2} \int_0^{2\pi} \int_0^1 \int_{3r^2 - r^2 \cos(2\theta)}^{5 - 2r^2 - r^2 \cos(2\theta)} r \, d\zeta \, dr \, d\theta \\\\ ~~~~ = \frac1{\sqrt2} \int_0^{2\pi} \int_0^1 r(5 - 5r^2) \, dr \, d\theta \\\\ ~~~~ = \frac{10\pi}{\sqrt2} \int_0^1 (r - r^3) \, dr \\\\ ~~~~ = 5\sqrt2\,\pi \left(\frac12 - \frac14\right) = \boxed{\frac{5\pi}{2\sqrt2}}[/tex]

Answer:6

Step-by-step explanation:

8-6 = 2

Answer:

10

Step-by-step explanation:

Let the number be equal to y

True value received an invoice dated may 08, 2020. the invoice had a $5,800 balance that included $800 freight true value pays the invoice on may 22.  then true value pay amount is $4900

Invoice dated 08/may/2020. Amounting to $5,800 which includes $800 freight.

Terms:

3/10 ; 2/30 ; n/60

The term 3/10 means that True value can avail of 3% discount if it pays within 10 days from date of issuance. The 10th day would be 18/may/2020

The term 2/30 means that True value can avail of 2% discount if it pays from the 11th day up to the 30th day from the date of issuance.

may 22 is beyond the 10th day but within the 30 days discount period. True Value can avail of the 2% discount.

5,800 - 800 = 5,000  The freight can't be subjected to discount thus it is deducted from the total invoice amount.

5,000 * 2% = 100

5,000 - 100 = 4900 amount True Value has to pay.

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answer = a

formula; a(1 + r)^x

a = the initial amount - 7.71  [answer cannot be b or d]

! i think it's a as the decay factor is < 1, therefore, 100-.933333

It should be noted that the angle sector for each sport will be:

volleyball (12) = 60°

Basketball (18) = 90°

Ping Pong (8) = 40°

Softball (10) = 50°

Football (24) = 120°

From the information given, the following can be illustrated:

volleyball (12) = 12/72 × 360° = 60°

Basketball (18)= 18/72 × 360° = 90°

Ping Pong (8) = 8/72 × 360° = 40°

Softball (10) = 10/72 × 360° = 50°

Football (24) = 24/72 × 360° = 120°

Total = 72

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The expression when a = 2 and x = -4, given 2a-x. The value will be 8.

In mathematics, an operation is a function that transforms zero or more arguments or operands into a clearly defined output value. The number of operands in the operation determines how difficult it is.

Unary operations (i.e., operations of arity 1), which include additive inverse and multiplicative inverse, as well as binary operations (i.e., operations of arity 2), which include addition and multiplication, are the operations that are most frequently studied. The nullary operation, also referred to as a zero-arity operation, is a constant. The mixed product is an example of a ternary operation, also referred to as an operation of arity 3.

The arity is typically assumed to be limited. Even yet, infinitary operations are occasionally taken into account, in which case the "typical" operations of finite dimensionality are referred to as finiteary operations.

Similar to an operation, but with partial function in place of a function, is the definition of a partial operation.

Since, a= 2 and x= -4, then,

2(2)-(-4)= 8

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Answer:

Step-by-step explanation:Answer: using identity[(a+b)(a-b) = a^2 - b^2]. (m+n)(m-n) = m^2 - n^2. m^2 - n^2 = (3)^2 - (4)^2 = -7.

A statement that is assumed to be true without proof is a(n) Theorem

A statement that has been shown to be true by vigorous application of logic is a(n) ---> Conjecture

A(n) Axiom is a statement that is believed to be true but hasn't been proven.

A definition is both a precise and a general statement of the significance of a mathematical term.

It does this by laying down all of the characteristics of the word together with the structures that need to be true.

This is how the meaning of the word is defined. A mathematical assertion that can be demonstrated using logically sound mathematical reasoning is called a theorem.

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The number of metal sheets in the stack is 274 metal sheets

Fractions are written as a ratio of two integers. For instance a/b is a fraction.

Given the following parameters

Height of metal sheet = 4.00in

Height of each sheet= 0.0146 in

Number of metal sheet = height of metal sheet/height of each sheet

Substitute

Number of metal sheet  = 4.00/0.0146
Number of metal sheet  = 274 metal sheets

This gives the required number of sheets

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Answer:

1. C

2. D

5. C

Step-by-step explanation:

Answer:

C as j is a variable

D

C as 13+9+1.9= 23.9

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An analogous equation can be created by factoring a quadratic equation. 5x^2 = (x-2) * (x+2) + 488 can give integers 9, 11,13.

In algebra, quadratic equation (from Latin quadratus 'square') is any equation that can be rearranged in standard form as

[tex]{ax^{2}+bx+c=0}[/tex]

where a 0 and x denotes an unknown and a, b, and c denote known numbers, Since there is no ax2 term, the equation is linear (and not quadratic) if a = 0 (and b 0). The coefficients of the equation, denoted by the numbers a, b, and c, are the quadratic coefficient, linear coefficient, and constant or free term, respectively.

The roots or zeros of the expression on the left-hand side of the equation are the values of x that fulfill the equation. There can only be two solutions to a quadratic problem. One claims that a problem is a double root if there is just one solution. There are either two real solutions, one real double root, two complex solutions that are complex conjugates of one another, or two real solutions if all the coefficients are real values. If complex roots are included, a quadratic equation will always have two roots; a double root counts as two. An analogous equation can be created by factoring a quadratic equation.

According to the formula, if 5x2 = x2 - 4 + 488, then 5x2 = x2 + 484.

For 4x2 = 484, subtract x2 from each side, resulting in x2 = 121.

For x = 11, square root each side.

TEST: 5*121 = 9*13 + 488, so 605 is equal to 117 plus 488.

The middle odd number, x, is equal to 11.

The figures are 9, 11, and 13.

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The mean of Class 1 is 78.83.

The median of Class 1 is  88

The mode of Class 1 is 90

The mean of Class 2 is 79.42

The median of Class 2 is 85.50

The mode of Class 2 is 90

The mean of Class 3 is 79.42

The median of Class 3 is 78

The mode of Class 3 are 75 and 80

The standard deviation of Class 1 is 18.81

The standard deviation of Class 2 is 16.15

The standard deviation of Class 3 is 12.70.

The class that had the higher standard deviation is class 1.

The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number

Mean of Class 1 = (45 + 50 + 55 + 68 + 77 + 86 + 90 + 90 + 90 + 95 + 100 + 100) / 12 = 78.83

Mean of Class 2 = (40 + 64 + 65 + 70 + 80 + 84 + 87 + 88 + 90 + 90 + 95 + 100) / 12 = 79.42

Mean of Class 3 = (55 + 65 + 70 + 75 + 75 + 76 + 80 + 80 + 88 + 90 + 99 + 100) / 12 = 79.42

Median is the number that is at the center of the dataset that is arranged in either ascending or descending order.

Median of Class 1 = (86 + 90) / 2 = 88

Median of Class 2 =  (84 + 87) / 2 = 85.50

Median of Class 3 = (76 + 80) / 2 = 78

Mode is the number that occurs most frequently in a dataset.

Standard deviation is used to calculate the average variation of a dataset.

Standard deviation = [tex]\sqrt{\frac{(x - u)^{2} }{n} }[/tex]

Where:

Standard deviation of Class 1 = 18.81

Standard deviation of Class 2 = 16.15

Standard deviation of Class 3 = 12.70

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Answer:

Down below!

Step-by-step explanation:

A.

The mean 78.83.

The median  88

The mode 90

The range 55

B.

The mean 79.42

The median 85.50

The mode 90

The range 60

C.

The mean 79.42

The median 78

The mode 75 and 80

The range 45

D. 18.81

E. 16.15

F. 12.70

G. The class that had the higher standard deviation is class 1.

H. The class that did better on the exam is class 3 because it has the higher mean and the lowest standard deviation.

Answer: $ 7.20

Step-by-step explanation:

(9x4)/5

36/5

= 7.2

= $7.20

Answer: b

Step-by-step explanation:

:)

Answer:

x = -9

Step-by-step explanation:

the goal is to get x by itself, so subtract 10 from both sides: 4x=-36

divide both sides by 4: x = -9

|-----4x+10=-26           |

|ANSWER= x=-9-------|

happy fall!

explanation ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

When we have questions like this, and the x is just THROWN in there, we have to "combine our like terms."

STEP ONE ✨: "How do we do that..if one is on the other side?"

We have to make it disappear. +10-10 equals zero, right? right! So do that!

4x+10=-26

   -10

But what we do to one side, we do to the other! Subtract 10 from the numbers on the equal side.

4x+10=-26

    -10  -10

-26-10

4x=-36

STEP TWO : What do we do when a number has an X beside it?
Since this number is being multiplied to the x, we have to DIVIDE the 4x by 4, so we just get the x alone. It always works like this. Don't doubt yourself!!

4x=-36

/4    /4

-36/4=-9
x=-9!
----------------

i hope this helped! || much love! <33

Answer:    she gets 540

Step-by-step explanation:

   She earns 540 dollars since the saleswoman only gets 9% of it and she sold $6000 dollars worth of merchandise you divide by percentage

 Example:  1. Find the percentage of the original or real number. In this case, it's 500.

2. Multiply the final number by 100. 500 x 100 = 50,000.

3. Divide the result of the multiplication by the percentage. 50,000 divided by 40% = 1,250. Thus, 500 is 40% of 1,250.

Answer:

N/A

Step-by-step explanation:

the area and perimeter for what exactly?

Answer: 3 5/11 should be 3.4545454545 as a decimal

Hope this helps!

Answer:

3 + 0.4545454545454545 =  3.454545454545455

Step-by-step explanation:

3 5/11 as a decimal exspansion

3 + (5 : 11) =

3 + 0.4545454545454545 =

3.454545454545455

The matchings are:

3x - y = -5 ⇒ table C.

x - 3y = 12 ⇒ table A.

3x - y = -2 ⇒ table D.

2x - 3y = 9 ⇒ table B.

The first equation we have is:

3x - y = -5

Evaluating in x = 0, we have:

3*0 - y = - 5

y = 5

So we have the point (0, 5).

Evaluating in x = -2 we get:

3*-2 - y = -5

6 + y = 5

y = 5 - 6 = -1

So we have the point (-2, -1)

The only table with that point is table C, so we conclude that it is the correct option.

2) The second equation is:

x - 3y = 12

Evaluating in x = 0 we get:

0 - 3y = 12

y = 12/-3 = -4

So we have the point (0, -4)

if x = 3 we have:

3 - 3*y = 12

-3*y = 12 - 3 = 9

y = 9/-3 = -3

So we have the point (3, -3)

The only table with these two points is table A, so that is the correct one.

3) The next equation is:

3x - y = -2

The tables left are B and D.

Now, let's evalaute this equation in x = 3.

3*3 - y = -2

9 - y = -2

9 + 2 = y

11 = y

So we have the point (3, 11)

Notice that on table B,the value associated to x = 3 is y = -1, so we discard table B, and we conclude that this equation relates to table D.

Trivially, the last equation:

2x - 3y = 9

Matches table B.

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