a ladder 10cm rest on a vertical wall of 8cm what is the distance of the vertical Wall from the Foot of the ladder ​

Answer:

2 1/3 acres per hour

Step-by-step explanation:

If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.

Answer:

\(y = x + 8\)

Step-by-step explanation:

\(x - y = - 8\)

\(x + 8 = y\)

Answer:

Step-by-step explanation:

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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Answer:

300

Step-by-step explanation:

Every week you add 50 so 50x6 is 300

Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

Answer: 290

Step-by-step explanation: Because a circle area is 360 and if you subtract 70 from 360 you will get 290

And 290 + 70 = 360

Required factors of the given expression is (7-10x) and (5x-4).

What is factor?

A number or algebraic expression that divides another number or expression evenly—that is, without a remainder is called factor. For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly. The other factors of 12 are 1, 2, 4, and 12. A positive integer greater than 1, or an algebraic expression with only two factors (that is, itself and 1), is called a prime number; A positive integer or an algebraic expression that has more than two factors is called a complex number. The prime factors of a number or algebraic expression are those factors that are prime factors. According to the Fundamental Theorem of Arithmetic, any integer greater than 1 can be uniquely expressed as the product of its prime factors, except for the order in which the prime factors are written; for example, 60 can be written as a product of 2·2·3·5.

Given expression is

\(2(2x-1)^{2} + 2(3-6x)(4x-7) - 4 {x}^{2} + 1 - 6 {x}^{2} - 25x + 11\)

We are Simplifying,

2(2x-1)² + 2(3-6x)(4x-7) - 4x² + 1 - 6 x² - 25x + 11

= 2( 4x²-4x+1)+2(12x-21-24x²+42x)-4x²+1-6x²-25x+11

= 8x²-8x+2+24x-42-48x²+84x-4x²+1-6x²-25x+11

= -50x²+75x-28

= -(50x²-75x+28)

= -[50x²-(50+25)x+28]

= -1[5x(10x-7)-4(10x-7)]

= -(10x-7)(5x-4)

= (7-10x) (5x-4)

Required factors of the given expression are (7-10x) and (5x-4)

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Answer: 32/40

Step-by-step explanation: Our original ratio here for sugar/flour is 4/5, but as that's not an answer choice, we need to look for an answer choice where the ratio reduces to 4/5. 32/40 is the answer because 32 and 40 are multiples of 4 and 5 respectively:

32/8 =4, and

40/8=5, so

32/40 is equal to 4/5.

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Answer:

53

Step-by-step explanation:

so first sutract the large angle from 360:

360 - 213 = 147

then subtract the other large known angle:

147 - 107 = 40

now we know the x - 13 = 40 so to find x we just have to add 13:

40 + 13 = 53

Answer:

Step-by-step explanation:

the function is a cubic with a positive leading coeficient so enters the 3rd quadrant and exits on the 1st quadrant

Answer:

4,896sq

Step-by-step explanation:

just multiply bro

Answer:

104m²

Step-by-step explanation:

\(Area =\frac{b_{12} + b_{2}}{2}*h=\frac{9+17}{2}*8=104m^{2}\)

Answer:

5x^2

4x

-20x

Step-by-step explanation:

5x(x) = 5x^2

4(x)= 4x

5x(-4)= -20x

The scatter plot shows a [positive linear] association.

From the question, we have the following parameters that can be used in our computation:

The image of the scatter plot

On the scatter plot, we can see that

The points appear to be on a straight line

Also, we can see that

As the x values increases the y values increases

This represents a positive linear association.

Hence, the association is a positive linear association.

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Step-by-step explanation:

4/x + 4 = x - 2/x

multiply everything by x

4 + 4x = x² - 2

x² - 4x - 6 = 0

the general solution to such a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = (4 ± sqrt((-4)² - 4×1×-6))/(2×1) =

= (4 ± sqrt(16 + 24))/2 = (4 ± sqrt(40))/2 =

= (4 ± sqrt(4×10))/2 = (4 ± 2×sqrt(10))/2 =

= 2 ± sqrt(10)

x1 = 2 + sqrt(10) = 5.16227766...

x2 = 2 - sqrt(10) = -1.16227766...

Answer: x=1+1/3

Step-by-step explanation: -(3x-12)=9x-4

We move all terms to the left:

-(3x-12)-(9x-4)=0

We get rid of parentheses

-3x-9x+12+4=0

We add all the numbers together, and all the variables

-12x+16=0

We move all terms containing x to the left, all other terms to the right

-12x=-16

x=-16/-12

x=1+1/3

Answer:

Below

Step-by-step explanation:

Line AB is of the form y = mx + b    where m is the slope = 2

 Line BC is perpendicular to this and will have slope - 1/m = - 1/2   and includes the point C (0,6)

 The point slope form of line BC will then be

     ( y-6) = - 1/2 ( x - 0)    which can be re-arranged to

       y = - 1/2x + 6     < ==== equation for line BC

Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

Answer:

kundi laga lo saiyan!!!

The amount Chris started with in his savings is $44. option C

1/2x + 10 = 32

1/2x = 32 - 10

1/2x = 22

x = 22 ÷ 1/2

x = 22 × 2/1

x = $44

Therefore, the amount Chris started with in his savings is $44. option C

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Answer:

Step-by-step explanation:

4 cm per present, if Shivani used 8 cm, then she wrapped 8/4 = 2 presents

Answer: 2 presents

Answer:

Which one?

Step-by-step explanation:

Answer:

1st

Step-by-step explanation:

You need to add the numbers and then dicuvde by how many numbers are there.

Answer:

16

Step-by-step explanation:

"Mean" is another way of asking for the average. Add all numbers together, then divide by how many numbers you started with.

16 + 14 + 14 + 21 + 15 = 80

80 ÷ 5 = 16

Answer:

45 R53

Step-by-step explanation:

Hope This Helps

The value of the z-score for the number 15  in a data set is 0.93.

Define z-score.

A data point's z-score, also known as a standard score, indicates how far it deviates from the mean. In practical terms, however, it's a measurement of how many standard deviations a raw number is from or above the population mean.

You can plot a z-score on a normal distribution graph. Z-scores can be anywhere between -3 and +3 standard deviations.

                     ∴  z = (x – μ) / σ

Given:

σ = 4.32

x = 15

Data set: 5, 7, 9, 11, 13, 15, 17

So, mean = 5 + 7 + 9 + 11 + 13 + 15 + 17/7

                = 77/7

            μ = 11

z = (x – μ) / σ

  = (15 - 11)/4.32

   = 4/4.32

z  = 0.93

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The probability that a randomly selected point within the circle would fall in the red- shaded area is 45. 833 %

The arc that is covered by the red - shaded area in the circle has a degree measure of 165 degrees. This is out of the total circle angle measure of 360 degrees.

This therefore means that the probability that a randomly selected point within the circle would fall in the red- shaded area can be found to be :

= Angle measure of red - shaped area / Total area x  100 %

= 165 / 360 x 100 %

=0. 45833 x 100 %

= 45. 833 %

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