x2y3z - y3z2 – xyz2 + yz3

Answer:

The answer to this question is D. 3

Answer:

The last one is right 3

Step-by-step explanation:

Took the test got it right.

The complete table of values is

Edge length (ft)    3    8     ∛85  ∛100    5    ∛147

Volume                27   64    85    100   125    147

The area of the square is 82 square cm

From the question, we have:

Edge length and volume of several different cubes

The relationship between the edge length and the volume of cubes is

Volume = Edge length³

Using the above as a guide, we have

3³ = 27

8³ = 64 and so on

Here, we have

Length = √82

The area is

Area = Length²

So, we have

Area =√82² = 82

hence, the area is 82

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Thus , Heat moves from a hotter object to a colder one, which accurately sums up the properties of the heat equation. Energy moves from one item to another in the form of heat.

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate

Here,

Heat's characteristics

The direction of this transmission is always determined by the temperature differential between the bodies.

To achieve an equilibrium temperature, heat is transferred from the hotter to the cooler body.

As a result of the fact that a body and its surrounds are at different temperatures, we can infer that heat is the energy that is transferred between them.

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The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

7

Step-by-step explanation:

7 hair bows for 21 dollars

\(\tt Step-by-step~explanation:\)

If you can purchase 6 hair-bows for $18, we will have to find out the individual price for each hair-bow.

\(\tt Step~1:\)

To find the value of each hair-bow, we have to divide 18 by 6.

\(\tt 18 \div6=3\)

\(\tt Step~2:\)

Now that we know the price of each hair-bow, we need to figure out how many of them you can buy with $21. To find the answer, we will need to divide 21 by 3.

\(\tt 21 \div 3=7\)

\(\Large\boxed{\tt Our~final~answer:7 ~hair-bows}\)

The dimensions of the rectangular prisms are:

Prism M: l=4 cm , w=1 cm and h=6 cm

Prism W: l=2 cm , w=2 cm and h=6 cm

Prism Z: l=6 cm , w=1 cm and h=4 cm

Prism J: l=2 cm , w=4 cm and h=3 cm

Prism R: l=2 cm , w=3 cm and h=4 cm

Prism F: l=1 cm , w=8 cm and h=3 cm

Given, a rectangular prism with a volume of 24 cm³

Dimensions of the prism if the volume is 24 cm³.

Prism M:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×4×1=24

4h=24

h=24/4

h=6 cm

Prism W:

l=4 cm and w=2 cm

we know that volume = h×l×w

h×2×2=24

4h=24

h=24/4

h=6 cm

Prism Z:

l=4 cm and w=1 cm

we know that volume = h×l×w

h×6×1=24

6h=24

h=24/6

h=4 cm

Prism J:

l=2 cm and w=4 cm

we know that volume = h×l×w

h×2×4=24

8h=24

h=24/8

h=3 cm

Prism R:

l=2 cm and w=3 cm

we know that volume = h×l×w

h×2×3=24

6h=24

h=24/6

h=4 cm

Prism F:

l=1 cm and w=8 cm

we know that volume = h×l×w

h×1×8=24

8h=24

h=24/8

h=3 cm

hence we get the required dimensions.

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Answer:

d

Step-by-step explanation:

Answer: B. statistic

Step-by-step explanation: A characteristic, usually a numerical value, which describes a sample, is called a statistic.

The equation of the parabola is gotten as;

 y = -4x² + 24x - 32

We are given the coordinates of a parabola to be;

(3, 4) ; (4,0) ; (2,0)

The general form of equation of a parabola is given by;

y = ax² + bx + c

Let's plug in the x and y coordinates as given to us from the question.

(3²)a + 3b + c = 4

9a + 3b + c = 4  ----(eq 1)

(4²)a + 4b + c = 0

16a + 4b + c = 0  ----(eq 2)

(2²)a + 2b + c = 0

4a + 2b + c = 0  ----(eq 3)

       y = -4x² + 24x - 32

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Answer:

the answer would be a % because of the divisibility rule

In coordinate form, y-intercept is (0,10)

This is fixed cost or entry fee

What is slope?

A line's steepness is determined by its slope. In mathematics, the slope is determined by "rise over run" (change in y divided by change in x).

Let x is the hours and y is the amount

write them in (x,y) form:

(x1,y1)=(3,19)

(x2,y2)=(5,25)

slope m= (y2-y1)/(x2-x1) = (25-19)/(5-3) = 6/2 = 3

point slope form:

y-y1=m(x-x1)

y-19 = 3(x-3)

y-19 = 3x-9

y= 3x-9 +19

y=3x+10 which is in y=mx+b form

Here, y-intercept is b = 10

In coordinate form it is (0,10)

This is fixed cost or entry fee

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For the given function f(x) the graph has a domain of (-5 , 0). For the function g(x) represented by the table the domain is given by the values (-3, 3).

The set of all potential inputs or independent variables for which a function is defined is known as the domain of the function in mathematics. In other words, it is the collection of all possible x-values for the function. On the other hand, the collection of all potential dependent variables or outputs that a function may produce for the specified inputs is known as the range of the function. It is the collection of all y-values that the function is capable of producing.

Given that the function f(x) is the graph while the function g(x) is represented by the table.

For the given function f(x) the graph has a domain of (-5 , 0). The range of the function is (4, infinity). The vertex of the function is given by the coordinates (2, 4). The axis of symmetry of the parabola is x = -2.

For the function g(x) represented by the table the domain is given by the values (-3, 3). The range of the function is given as (25, 1). The x-intercept is at the point 2. The y-intercept is at the point 4.

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Step-by-step explanation:

per the laws of intersecting lines the angles on one side of any of the lines must be the same as the angles on the other side of that line - just left-right mirrored.

for that reason, CGE = DGF.

also to remember : the sum of all angles around a point on one side of a line is always 180° (because they represent a half-circle with that point being the center). in other words, these angles are supplementary (together 180°).

therefore,

180 = 62 + 32 + DGF

DGF = CGE = 180 - 62 - 32 = 86°

Solution:

Note that:

Simplify the equation to find x.

Sum of interiors=exterior

\(\\ \rm\bull\rightarrowtail x+46=62\)

\(\\ \rm\bull\rightarrowtail x=62-46\)

\(\\ \rm\bull\rightarrowtail x=16\)

Answer:

=15

Step-by-step explanation:

=78 + 42 = 4x

=120+4x=180 subtract 120 from both side

=4x = 180 - 120

=4x = 60 divide both sides by 4

=x = 60/4

= x = 15

Answer:

Yes

Step-by-step explanation:

You have to add 4 on both sides to get X by itself. Then, you solve for X by multiplying the Denominator.

The probability of not selecting a green marble is equal to the total number of non-green marbles in the bag divided by the total number of marbles in the bag.

To calculate the probability: there are three green marbles out of a total of twenty-five marbles, so the probability of selecting a green marble is 3/25.

The likelihood of not selecting a green marble is then 1 - 3/25 = 22/25.

This is equal to 22/25 * 100 = 88% as a percentage.

As a result, P(not green) = 88%

Probability denotes the possibility of something happening. It is a mathematical branch that deals with the onset of a random event. The value ranges from zero to one. Probability has been tried to introduce in mathematics to predict the probability of events occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also used in probability distribution, in which you will learn about the possible outcomes of a random experiment.

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The required algebraic expression is Y = 3X + 2

This table describe the  relation between x and y

x =  2  3    4   5      

y =  8  11   14  17

Alegebraic expression consists of constant and variable. eg x, y, z etc.

As the data given in the table, we conclude that:

1) The difference in the values of y is 3.

2) When we multiply this difference by x and add 2 it gives the next value of y.

so the from above discussion Y = 3X + 2

Thus, The required algebraic expression is  Y = 3X + 2

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Answer:

Graph B

Step-by-step explanation:

Rearrange in the form y > mx + c :

    2. x + y < 2

Graph which shows this inequality is : Graph B

B. is the correct graph.

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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The described sampling method is an example of random sampling.

The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.

In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.

Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.

This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.

The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.

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Answer:

784000J or 784KJ

Step-by-step explanation:

Kinetic energy (KE) can be represented with the formula

KE = 1/2(MV²)

where

M = Mass of object (Kg) =2000kg

V = velocity or speed of object in metre per second (m/s or ms^-1) = 28m/s

therefore

KE = 1/2(mv²) becomes

KE = (1/2) X 2000 X 28 X 28

KE = 784000Joules

Answer:

He can cut 2 1/3 pieces, so a is the correct answer.

Step-by-step explanation:

\( \frac{6}{7} x = 2\)

\(x = 2 \div \frac{6}{7} = 2 \times \frac{7}{6} = \frac{7}{3} = 2 \frac{1}{3} \)

Answer:

\(2\frac{1}{3}\)

Step-by-step explanation:

So this question is essentially asking how many 6/7s can fit into 2/1. Or in other words, what is 2 divided by 6/7. This gives you the equation: \(\frac{2}{1}\div\frac{6}{7}\). Whenever you're dividing by a fraction, you just keep the first fraction (don't change anything), change the operation (from division to multiplication) and "flip" the fraction so if you had the fraction a/b it's now b/a. This gives you the equation: \(\frac{2}{1}*\frac{7}{6}\). You can now just multiply the denominator and numerator. This gives you the fraction: \(\frac{2*7}{1*6}\) which simplifies to \(\frac{14}{6}\). This can be further simplified by dividing both the numerator and denominator by 2. If you don't know why this keeps the original value think of it as multiplying the fraction by \(\frac{0.5}{0.5}\) or \(\frac{\frac{1}{2}}{\frac{1}{2}}\). Which is technically multiplying the value by 1, so it should keep the original value, you're just simplifying the numerator and denominator. Simplifying it, gives you the fraction: \(\frac{7}{3}\). This can be a mixed fraction by splitting it up into two parts: \(\frac{6}{3}+\frac{1}{3}\). Which when added is the same thing, except the second side simplifies, and you get \(2\frac{1}{3}\)

Answer:

The answer is D.

Step-by-step explanation:

You have to divide it by 2 :

∠RST = ∠ROT ÷ 2

= 46° ÷ 2

= 23°

O represents the centre of circle.

(Correct me if I am wrong)

Answer:

D. 23°

Step-by-step explanation:

The measure of central angle is twice the angle of circumference lying on the same arc. So,

<RT = 2(<RST)

<RST = <RT/2

<RST = 46/2

<RST = 23°

Answer:

18 UNITS

Step-by-step explanation:

FIRST DRAW ON A COORDINATE PLANE IF NEEDED. THE LENGTH OF THE RECTANGLE IS 2 UNITS, THE WIDTH OF IT IS 9 UNITS.  NEXT MULTIPLY THE LENGTH BY WIDTH 2*9=18 units.

Hope this helped!!! Have a great day!!!    :)

The product of (3 - √5)(7 - √5) simplifies to 26 - 10√5.

To multiply and simplify the expression (3 - √5)(7 - √5), we can use the distributive property of multiplication over addition. Here are the steps:

1. Start by multiplying the first terms in each set of parentheses: 3 * 7 = 21.

2. Then multiply the outer terms: 3 * (-√5) = -3√5.

3. Next, multiply the inner terms: -√5 * 7 = -7√5.

4. Finally, multiply the last terms: -√5 * -√5 = 5.

Now we can combine these terms to simplify the expression:

21 + (-3√5) + (-7√5) + 5

Combine the like terms: 21 + 5 - 3√5 - 7√5

Combine the constants: 21 + 5 = 26.

Combine the radical terms: -3√5 - 7√5 = -10√5.

The final simplified expression is: 26 - 10√5.

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