Select a two-digit number whose 1st digit it 0,1,2,3, or 4, and whose 2nd digit is 5,6,7,8, or 9.

The factored form of 12x²y - 6x² is  6x²(2y - 1).

The expression to be factorise is as follows: 12x²y - 6x²​.

Factorisation is the is defined as the breaking down of an entity . Factorisation simply implies we decompose the expression.

Therefore,

12x²y - 6x²

let's find the factors of 12x²y  and 6x².

Hence, the factors are 6x²

12x²y - 6x² = 6x²(2y - 1)

Therefore, the factored form is 6x²(2y - 1)

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2.25 km on the ground is represented by 9cm on the map.

What is the actual distance?

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here, we have

Given: The scale on the map is 1:25000

We have to find the actual distance of 9 cm on the map.

First, we have to find the actual distance of 1 cm on the map:

1cm = 25000cm

1cm = 250m

1cm = 0.25km

Now Find the actual distance of 9 cm on the map:

1cm = 0.25km

9cm = 9(0.25) = 2.25km

Hence, 2.25 km on the ground is represented by 9cm on the map.

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When eight more than the quotient of a number 'b' and 25 is greater than 6 then the inequality representing the value of b is b > -50.

The expression used to represents :

Quotient of a number b and 25 is equal to b / 25

Next step is :

8 more than the b / 25 is equal to ( b / 25 ) + 8

Then ,

( b / 25 ) + 8  is greater than 6 is given by

⇒ ( b / 25 ) + 8 > 6

Simplify the above inequality for 'b' we get,

⇒ ( b / 25 )  > 6 - 8

⇒ ( b / 25 )  > -2

Multiply both the side by 25 we get,

⇒ b > - 2 × 25

⇒ b > -50

Therefore, the inequality representing the value of 'b' for the condition of quotient and a number is equal to b > -50.

The above question is incomplete , the complete question is:

8 more than the quotient of a number b and 25 is greater than 6 , then the value of b is ?

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The y-intercept of the graph of a function is the point at which the graph intersects the y-axis. In other words, it's the value of the function when x=0.

So to find the y-intercept of f(x) = 57(3.2)x, we can substitute x=0 into the function:

f(0) = 57(3.2)(0)

f(0) = 0

So the y-intercept of this function is (0,0).

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The equations are given below.

y = 3x + 2

2y = 6x + 4

6x - 2y = - 4         ...1

- 4x + 2y = 8        ...2

Add both equations, then we have

6x - 4x = - 4 + 8

2x = 4

x = 2

Then the value of 'y' is given as,

y = 3(2) + 2

y = 6 + 2

y = 8

The solution of the equations y = 3x + 2 and - 4x + 2y = 8 by elimination method will be (2, 8).

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Answer:

D.) QIII

Step-by-step explanation:

Because 1.2 radians is in between 7π/6 and 5π/4

The absolute value function on the graph is:

f(x) = -|x + 4| - 5

Remember that an absolute value function that has a vertex at (a, b) will be written as:

f(x) = |x - a| + b

Here the vertex is at (-4, -5), replacing that in the general formula we will get:

f(x) = |x + 4| - 5

And we also can see that the absolute value function opens downwards with slopes of 1, then there must be a leading coefficient of -1, the actual function is:

f(x) = -|x + 4| - 5

That is the graphed function.

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Answer:

Step-by-step explanation:

-8^8 is -16777216.

-8^5 is -32768.

-16777216/-32768 is 512.

btw, is this bigideas? lol i remember this website

Answer: 0.95m or 3/π

Step-by-step explanation:

Volume of cylinder = 2π[tex]r^{2}[/tex]*h

54 = 2π*9*h

divide 2π*9 on both sides

54/2π*9 = h

54/18π = h

3/π = h

h = 0.95 m

Answer:

16.5 cm²

Step-by-step explanation:

the measure of an exterior angle (32°) is found by dividing the difference between the measures of the intercepted arcs (54° and arc abject BF) by two.

32 = (BF - 54)/2

64 = BF - 54

arc angle BF = 64 + 54 = 118°

the area of that sector is

pi×r² × 118/360 = pi×4² × 118/360 = pi×16 × 118/360 =

= pi×2 × 118/45 =

= 16.47590814... ≈ 16.5 cm²

Answer:

m angleJ= 53, m angle JML = 63.5

Step-by-step explanation:

As this is a circle, KJ and KL are radii, which are equal

If we join J and L to form JL, Triangle KJL becomes and isosceles triangle( two sides equal).

That means, the angles J and L are equal (isosceles triangle thm).

Therefore- m angleJ = 180 - 127

m angleJ = 53

Join J and K, and L and K

Another circle theorem- The angle subtended by an arc/chord on the centre is double the angle subtended by the chord on any other point on the circle.

Therefore- angle JML  = (1/2)127
So, m angleJML = 63.5

One example is 70:2. In the case of any non-zero number, this is a ratios of the form 35*k/k.

An set of points of numbers “ a ” and  “ b", represented as a / b, is a ratio if b is not equal to 0. The proportion is an expression that sets two ratios at the same value. If there are two boys and five girls, for instance, you may express the ratio as 2:5.

We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "cause" to "calculated" to "proportion."

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Answer:

she sold 100 cakes in all

Step-by-step explanation:

606 + 494 = 1100 ÷ 11 = 100

Equation of line DC is y = -1/2 x - 8

Equation of line AD is y = 2x + 2

Equation of line BC is y = 2x - 8

The equation of the line 2y + x = 4 is arranged in slope intercept form to have

y = -x/2 + 2

The slope is -1/2

with a slope of -/2 and points (0, -8) line DC is written as

y - -8 = -1/2 (x - 0)

y + 8 = -1/2 x

y = -1/2 x - 8

Equation of line AD

line AD is a perpendicular line  to line DC hence the slope is negative reciprocal of the slope of line DC

slope = 2

point A(0, 2) line AD is written as

y - 2 = 2 (x - 0)

y - 2 = 2x

y = 2x + 2

Equation of line BC

line BC is a parallel to line AD hence the slopes are equal

slope = 2

point C (0, -8) line AD is written as

y - - 8 = 2 (x - 0)

y + 8 = 2x

y = 2x - 8

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Answer:70% chance they vote yes

Step-by-step explanation:

Answer:

3/10 for red people and 7/10 for blue people.

Step-by-step explanation:

The total volume in centiliters is 5 cL, then the correct option is A.

Here we know that Dante mixes 30 mililiters of one liquid with 2 centiliters of a second liquid, and we want to find the total volume in centiiters.

We know that:

1 milliliter = 0.1 centiliters.

Then:

30 mililiters = 30*( 0.1 centiliters) = 3 centilters.

Then the sum of the two volumes is:

3 centiliters + 2 centiliters = 5 centiliters.

Then the correct option is A.

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The answer is A. 5 cL.

Liquid is one of the three states of matter, alongside solid and gas. It is a form of matter that has a definite volume, but not a definite shape. Liquids take the shape of their container and are able to flow and be poured.

First, we need to convert 30 milliliters to centiliters, which is 3 centiliters (since 1 centiliter = 10 milliliters).

Then, we can add the 3 centiliters to the 2 centiliters of the second liquid to get a total of 5 centiliters.

Therefore, the answer is A. 5 cL.

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5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.

Let say, total number of apples = y

Then, y = (30+x)×(400–10x)

For, optimum number of trees, let's do the differentiation of the above equation with respect to x.

d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)

= 400–10x-300–10x

= 100–20x …………..(1)

For mimima or maxima, the above equation must be equal to 0.

So, 0 = 100–20x

=> x=5

Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5

[tex]d^2(y)/d(x^2) = -20[/tex]

The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.

So, the number of trees for maximum apple will be (30+x)

So, 30+5 = 35 trees per acre will give the largest crop of apple.

Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.

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The next number in the series 1\325,1\176,1/88,1/44,1/22 is 1/44.

Depending on whether the sequence is finite or infinite, the series might be either infinite or finite.

To find the pattern in the series, we can look at the denominators of the fractions. We can see that the denominators are getting multiplied by 2 in each successive term.

So the next term in the series would have a denominator of 1/11 * 2 = 1/22 * 1/2 = 1/44. Therefore, the next number in the series would be 1/44.

So the complete series is:

1/325, 1/176, 1/88, 1/44, 1/22, 1/44.

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Answer:

x[tex]\leq[/tex]52

Step-by-step explanation:

x[tex]\leq[/tex]52

If Armer Brown used and equal number of each bag then there will be 21 bags.

What is algebraic expression?

When we use numbers and words to solve a mathematical problem, we are using algebraic expressions.

Let's say that Armer Brown used x bags holding 20 oranges, y bags holding 10 oranges, and z bags holding 5 oranges. We know that he harvested 245 oranges, so we can write an equation:

20x + 10y + 5z = 245

We also know that he used an equal number of each bag, so we can write another equation:

x = y = z

We can use the second equation to substitute y and z with x:

20x + 10x + 5x = 245

Simplifying this equation, we get:

35x = 245

Dividing both sides by 35, we get:

x = 7

So he used 7 bags holding 20 oranges, 7 bags holding 10 oranges, and 7 bags holding 5 oranges.

In total, he used: 7 + 7 + 7 = 21 bags.

Therefore, There will be 21 bags.

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The mystery number is 8. It is the number that is greater than 4 and less than 15 which when paired with 32 has an LCM of 32.

The mystery number is 8. To find this number, we first need to determine the Least Common Multiple (LCM) of two numbers. The two given numbers are 4 and 32. To find the LCM, we can list out the multiples of each number until we find a common multiple. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, and so on. The multiples of 32 are 32, 64, 96, 128, and so on. We can see that 32 is the first common multiple of 4 and 32. Therefore, the LCM of 4 and 32 is 32. We are then told that the mystery number is greater than 4 and less than 15. This means the mystery number must be 8, since it is the only number between 4 and 15 that when paired with 32, has an LCM of 32.

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If the weight of the bucket is 70 lb , then the work required to lift the bucket from bottom is 135240 foot-pounds  .

We use the formula : Work = Force × Distance to calculate the work done

where "Force" is weight of bucket filled with water and "Distance" is  height it is lifted.

The weight of bucket filled with water is =  70 pounds.

We convert this to a force in pounds force, by using g = 32.2 feet per second squared ;

So , Force = Weight × Gravity

⇒ 70 lb × 32.2 ft/s² = 2254 lb-ft/s²

The distance that the bucket is lifted is = 60 feet ;

So , work required to lift bucket from bottom of well to top is :

⇒  Work = Force × Distance = 2254 lb-ft/s² × 60 ft

⇒ 135240 foot-pounds

Therefore , it will require 135240 foot-pounds of work to lift the bucket filled with water from the bottom of the well to the top.

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The given question is incomplete , the complete question is

A bucket that weights 70lb when filled with water is lifted at a constant rate, by a mechanical winch, from the bottom of a well that is 60 feet deep.  

Compute the work required to lift the bucket from the bottom of the well to the top .

5/6 rounded to two decimal places is -0.83

What is simplification?

The technique of reducing phrases to expressions that do not cause changes or values is known as simplification.

To simplify -0.83333333333, you can write it as a fraction by dividing -5 by 6:

-0.83333333333 = -5/6

Then, to round it to a certain decimal place, you can use the following rules:

For example, if you want to round -5/6 to two decimal places:

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To find a polynomial function of degree 3 such that f(10) = 17 and the zeros of f are 0, 5, and 8, we can use the factored form of the polynomial. The polynomial can be written as f(x) = (17/20)x(x - 5)(x - 8).

If the zeros of a polynomial function are 0, 5, and 8, then the factored form of the polynomial can be written as: f(x) = k(x - 0)(x - 5)(x - 8)

To find a polynomial function of degree 3 such that f(10) = 17 and the zeros of f are 0, 5, and 8, we can use the factored form of a polynomial. The factored form of a polynomial is the product of its factors, which are its linear binomials that correspond to its zeros.

For example, if a polynomial has zeros of 1, 2, and 3, then its factored form can be written as (x - 1)(x - 2)(x - 3). We can use this concept to find the factored form of the polynomial with zeros of 0, 5, and 8, which is:

f(x) = k(x - 0)(x - 5)(x - 8)

where k is a constant coefficient that we need to determine. We can use the given condition that f(10) = 17 to solve for k. When we plug in x = 10, we get:

f(10) = k(10 - 0)(10 - 5)(10 - 8) = 2k * 5 * 2 = 20k

Since f(10) = 17, we can set 20k = 17 and solve for k:

k = 17/20

Therefore, the polynomial function of degree 3 with the given conditions is:f(x) = (17/20)x(x - 5)(x - 8)

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The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

The possible value of the variables that satisfy the equation which is known as the solution of the equation.

The equations are given below.

y = 2x + 56       ....1

y = 9x               ....2

From equations 1 and 2, then we have

9x = 2x + 56

7x = 56

 x = 8

Then the value of the variable 'y' is given as,

y = 9(8)

y = 72

The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).

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The sum of the measures of angles A, D, and F is:

A + D + F = 360°

First, we know that the sum of the interior angles of any triangle is always equal to 180°, then we can write:

B + C + E = 180°

We also can see that:

A + B = 180°

C + D = 180°

E + F = 180°

Then we can rewrite:

E = 180° - F

C = 180° - D

B = 180° - A

And replace that on the equation above:

B + C + E = 180°

( 180° - F) + (180° - D) + (180° - A) = 180°

Moving the variables to the right side we will get:

3*180° = 180° + A + D + F

3*180° - 180° = A + D + F

360° =  A + D + F

That is the sum of the 3 measures.

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So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.

The problem can be solved by setting up an equation using the information given. Let's call the temperature of City A "x" and the temperature of City B "y". We can then write two equations based on the information given:

4x = 3y + 8

x - 2y = -3

We can use substitution to solve for one of the variables and then use that information to solve for the other. For example, we can substitute 3y + 8 for 4x in the second equation:

x - 2y = -3

x - 2y = 3y + 8 - 3

x - 2y = 3y + 5

x - 5y = 5

We can then solve for y by multiplying both sides of the equation by -1/5:

-5x + 5y = -5

5y = 5x + 5

y = x + 1

We can then substitute this expression for y into one of the original equations and solve for x:

4x = 3(x + 1) + 8

4x = 3x + 3 + 8

x = 8

So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.

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Answer:

20

Step-by-step explanation:

snajakskdmcjwiwjcjf

Answer:

20

Step-by-step explanation:

70% is 70/100 = 0.70

20 x 0.70 = 14