what is the answer for this????

Answer:

perfect square trinomials

Step-by-step explanation:

Comes from (a+b) ^2

The equation (2/3)x = 9/8 represents the question "How many 2/3's are in 9/8?" because it shows that the unknown number of 2/3's (represented by x) multiplied by 2/3 equals 9/8.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.

The following equation represents the question "How many 2/3's are in 9/8?" because it shows that the unknown number of 2/3's (represented by x) multiplied by 2/3 equals 9/8.

(2/3)x = 9/8

To find out how many 2/3's are in 9/8, you would need to solve for x by dividing both sides of the equation by 2/3.

⇒ x = (9/8)/(2/3)

⇒ x = (9/8) × (3/2)

⇒ x = 27/16

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Answer:

If h>0 , the graph of the base function shifts to the right. If h<0 , the graph of the base function shifts to the left. The function y=logb(x)+k y = l o g b ( x ) + k is the base function y=logb(x) y = l o g b ( x ) shifted vertically by k .

Step-by-step explanation:

Answer:

a group of 4 people can be selected in 35 ways

Answer:

Step-by-step explanation:

8kg = 8000 grams

New Ratio = 8000:800:4000

Reduced = 20:2:10

Reduced even more = 10:1:5

HOPE THIS HELPED!

The end behavior for f(x)=x^5 is asymptotic growth to positive infinity as x approaches positive infinity and asymptotic growth to negative infinity as x approaches negative infinity.

Asymptotic growth is a term used to describe the behavior of a function as it approaches a certain value, usually infinity. In mathematics, an asymptotic function is one that grows or shrinks towards a certain point without ever actually reaching it. In other words, it approaches a limit without bound. Asymptotic growth is often used to describe the rate of growth of a function as its input values approach infinity. It is also used to describe the rate at which a function expands or contracts as its argument approaches a certain point. Asymptotic growth is a useful concept in many areas of mathematics, from calculus to number theory.

This is because x^5 becomes increasingly larger as the absolute value of x increases, resulting in an ever-growing value of f(x).

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The Arc AB = (π * r * 38) / 180.

What is central angle?

A central angle is the angle formed when two radii intersect at the center of a circle.

Since chord CB is a diameter of the circle, angle B is a right angle and measures 90 degrees. Arc AB is half the circumference of the circle, so its measure is equal to half the circumference times the ratio of the central angle to the total central angle (360 degrees) of the circle.

Let r be the radius of the circle. Then the circumference is 2 * π * r and the measure of arc AB is:

Arc AB = (1/2) * 2 * π * r * (angle B / 360)

Arc AB = (π * r * angle B) / 180

Arc AB = (π * r * 38) / 180

Therefore, Arc AB would be (π * r * 38) / 180.

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The people who went to the concert will be 53 Adults and 39 Children respectively.

We will solve this problem with the help of a Binomial equation.

Let the number of adults is X and the number of children is Y.

Our first equation will be =

X + Y = 92

The total cost for adults is $3 and for Children is $2.25.

The total receipt for the concert is $246.75.

Our second equation will be =

3X + 2.25Y = 246.75

From equation 1, we get

X + Y = 92

X = 92-Y

Substitute this in equation second equation, and we get

3(92-Y) + 2.25Y = 246.75

276 - 3Y + 2.25Y = 246.75

-0.75Y = 246.75 - 276

-0.75Y = -29.25

Y = 39

So, our number of Children is 39.

Putting the value of Y in the first equation, we get:

X = 92 - 39 = 53

So, our number of adults is 53.

Therefore 53 Adults and 39 Children went to the concert respectively.

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The image explains it all. First we find the third degree using the sum of angles in a triangle (180), then, using the rule of sines, we find the f and round it to the nearest 10th inch

-9km is the  displacement for the changes in position from -4km to 5km.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

We have to find the displacement for the the following changes in position

-4km to 5km.

Displacement is defined as the change in position of an object. It is a vector quantity and has a direction and magnitude.

-4-5

=-9 km is the displacement.

Hence, -9km is the  displacement for the changes in position from -4km to 5km.

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let's put both fractions using the same denominator by multiplying each top and bottom by the other's denominator.

[tex]-\cfrac{1}{8}\cdot \cfrac{11}{11}\implies \boxed{-\cfrac{11}{88}}\hspace{15em}-\cfrac{2}{11}\cdot \cfrac{8}{8}\implies \stackrel{\textit{\LARGE \checkmark}}{\boxed{-\cfrac{16}{88}}}[/tex]

well, let's take a looksie above, on the positive side of the number line, 16/88 is larger than 11/88, however, on the negative side, the closer to "0", the larger, for that matter -1 is a much larger number than -1,000,000.

So, -11/88 is closer to 0 on the negative side, and because of that, is larger than -16/88 that is farther from 0.

In mathematics, a linear combination is any expression of the form ax + by, where a and b are constants, that are created from a set of terms by multiplying each term by a constant and adding the results.

The linear equations can be solved through the given steps-

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Solve x^2+3x+2=0

[tex]x_{1} = -1\\x_{2} = -2[/tex]

The first is to use the quadratic formula

x= (-b±[tex]\sqrt[{} ]{b^{2} -4ac}[/tex]) ÷ 2a

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

[tex]x^{2} +3x+2 = 0[/tex]

Where,

a = 1

b = 3

c = 2

So,

x = (-b±[tex]\sqrt[{} ]{b^{2} -4ac}[/tex]) ÷ 2a

  = (-3±[tex]\sqrt[]{3^{2}-4.1.2 }[/tex]) ÷ 2.1

The next step is to simplify numbers.

x= (-3±1) ÷ 2

The next step is separate it into two equations: one with the plus sign and the other with the minus sign.

x = (-3+1) ÷ 2

and

x = (-3-1) ÷ 2

Then,

[tex]x_{1}[/tex] = (-2)÷2 = -1

Or,

[tex]x_2}[/tex] = (-4)÷2 = -2

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Simplifying radicals is the process of reducing a radical expression to its simplest form. There are several ways to simplify radicals, but the most common method is to factor .

The number or expression inside the radical sign and extract any perfect nth root factors.For example: √36 = √(36) = √(6*6) = √(6^2) = 6

Here, 36 can be factorized into 6*6, and since 6 is a perfect square, we can simplify the radical as 6.

Another example: √100 = √(100) = √(10*10) = √(10^2) = 10

Here, 100 can be factorized into 10*10, and since 10 is a perfect square, we can simplify the radical as 10.

Another way to simplify radicals is to use the product property of radicals which states that: √(a*b) = √(a) * √(b)

For example: √(1215) = √(12) * √(15) = √(4355) = √(43) * √(55) = 2√(3) * 5 = 6√(3)

Here, 1215 can be factorized into 4355. And since 43 is a perfect square, we can simplify the radical by taking the square root of 43 and 5*5.

You can simplify radicals as much as possible by applying these methods.

It's important to note that not all radicals can be simplified completely, in some cases we can simplify the radical as much as possible but still have an irrational number inside the radical.

Simplifying radicals is a useful process in algebra and trigonometry, it helps to simplify the expressions and make calculations easier.

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Answer:

13/30

Step-by-step explanation:

36/30, 7/6 does NOT form a proportion.

36/30 = 16/15 not equal to 7/6.

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The equation is [tex]\rm y = 3 \times \left (0.5 \right)^{t/88}[/tex]. Then the amount remaining after 8 years and 12 years will be 2.8168 grams and 2.729 grams, respectively.

Let a be the initial value and x be the power of the exponent function and b be the factor.

The exponent is given as

y = a(b)ˣ

The function is given below.

[tex]\rm y = a \left (0.5 \right)^{t/88}[/tex]

A scientist is studying a 3-gram sample. Then the function is written as,

[tex]\rm y = 3 \times \left (0.5 \right)^{t/88}[/tex]

The amount of plutonium-238 remaining after 8 years will be given as,

[tex]\rm y = 3 \times \left (0.5 \right)^{8/88}[/tex]

y = 3 × 0.9389

y = 2.8168 grams

From the graph, the amount remaining after 12 years will be 2.729 grams.

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Answer:

x=1/3

Step-by-step explanation:

= 5/x - 4/×=3

= 1/x=3/1

= 1=3×

= x=1/3

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity. This shows that the left half, 5x 4, is bigger than the right part, 2x + 3. Finding the x numbers for which the inequality holds true is what we are most interested in.

Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

 = Orange she bought 8 kg x 3 = $24

  = Pineapple she bought 9KG X 4 = $36

  = $24 +36

 =   $60

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So, the agency made $15,390 on the sale of the house and the agent earned $4,617 in commission.

First, to find out how much the agency made on the house, you need to calculate the commission they received. The commission rate for the agency is 4.5%, so to find the commission you would multiply the sale price of the house ($342,000) by the commission rate (0.045)

$342,000 x 0.045 = $15,390

The agency made $15,390 on the sale of the house.

To find out how much the agent earned in commission, you need to first find out how much the agency earned in commission ($15,390) and then multiply that by the agent's commission rate (30%).

$15,390 x 0.3 = $4,617

The agent earned $4,617 in commission.

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To calculate the commission, multiply the selling price of the home ($342,000) by the agency's commission rate, which is 4.5%. (0.045)

$342,000 x 0.045 = $15,390

The sale of the property brought in $15,390 for the organization.

To calculate the amount of commission earned by the agent, multiply the amount of commission received by the agency ($15,390) by the agent's commission rate (30%).

$15,390 x 0.3 = $4,617

The dealer received a commission of $4,617.

Answer:

30.25

Step-by-step explanation:

This is because y is the square of x

There are mainly two types of logarithmic functions - common logarithm and natural logarithm.

Common logarithm (log): The logarithm function with base 10, it is represented as log10(x) or simply log(x) if the base is not specified.

Natural logarithm (ln): The logarithm function with base e (approx 2.718), it is represented as ln(x)

These two logarithmic functions are the most commonly used and have many applications in mathematics, physics, engineering, and other sciences. They are inverse functions of the exponential functions (10^x and e^x) respectively.

Additionally, there are other types of logarithms, such as logarithms with bases other than 10 or e, for example log2(x) which is logarithm with base 2, it is used in information theory and computer science.

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Answer:

[tex]\boxed{\sf{30.5 \times 10^{10}\;km^3}}[/tex]

Step-by-step explanation:

Volume of Lake Erie

[tex]\sf {= 25 \times 1.22 \times 10^{10} \\\\= 30.5\times 10^{10} \;km^3}[/tex]

According to the Triangle midline theorem, slicing across a triangle's midline results in a section that is parallel to the base and only half as long. MNK=6 INCH

Theorem of the triangle midline: In a triangle, the midline connecting the midpoints of two sides is parallel to and half as long as the third side.

The midsegment linking the midpoints of two sides of a triangle is parallel to the third side of the triangle, and its length is half that of the third side, according to the midsegment theorem.

The midpoints of the sides AB, BC, and AC are points M, N, and K. The Triangle Midline Theorem states that

MN=1/2AC

NK=1/2AB

MK=1/2BC

The perimeter of the triangle MNK is

P(MNK)=MN+NK+MK

=1/2AC+1/2AB+1/2BC

=1/2(AC+AB+BC)

=1/2PABC

 =1/2.12

=6 inch

Therefore MNK=6 INCH

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Answer:90 minutes

Step-by-step explanation:

40 dollars a month minus the 13.00 fee. 40-13=27. 27-.30=90 so 90 minutes

If do= (6y-17.81) and ro= (3y+10.54) then the measure of length of hv = 26

A measurement that is longer than or longest than another. a dimension or distance that can be measured. Dimensions: 10 ft. Weights and Measures Table, Metric System Table being lengthy is a quality or a state.

In addition to utilising handspan, foot span, and other methods, one can measure length in many units, such as centimetres, inches, metres, and so on. The several types of units used to measure length can be divided into two categories: standard units and non-standard units.

The number of digits in the base-numerical for, as determined by the formula, determines a number's base length.

HF = 10x + 6

VH = 8 x – 14 and

FV = 4x+10

Substitute

8x - 14 + 4x + 10 = 10x +6

12x - 4 = 10x + 6

12x - 10x = 6 + 4

2x = 10

x = 5

Identify the VH's length.

VH = 8x - 14

VH = 8(5) - 14

VH = 26

Consequently, VH is 26 units long.

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The number of teams who took less than 40 minutes to complete the game is 34 teams

0 ≤ t < 20 = 6

time greater than or equal to 0 less than 20 minutes

20 ≤ t < 40 = 28

time greater than or equal to 20 minutes less than 40 minutes

40 ≤ t < 60 = 12

time greater than or equal to 40 minutes less than 60 minutes

60 ≤ t < 80 = 7

time greater or equal to 60 minutes less than 80 minutes

The number of the team who took less than 40 minutes to complete the game are;

0 ≤ t < 20 = 6

20 ≤ t < 40 = 28

So,

6 + 28 = 34 teams

Hence, 34 teams took less than 40 minutes to complete the game.

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The equation is an identity because it is true for all values of the variables within the equation.

The equation is an identity because it is true for all values of the variables within the equation. This means that when the equation is evaluated for any given values of the variables, the left-hand side and the right-hand side of the equation will be equal. This is different from an equation that is not an identity, which will only be true for certain values of the variables. An identity equation is also different from an equation that is not an identity, which may be true for some values of the variables but not for all values. An identity equation is one that is true for all values of the variables, no matter what values are chosen.

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Answer:

X = 2

Because x means our answer and the answer to 1 + 1 is 2!

Answer:

2

Step-by-step explanation:

1+1=2

x=2