Determinați cel mai mare divizor comun al următoarele numere : 24,60,72,84

The percentage error when the weight was found to be 62.5 ounces is 3.2%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Since the the weight of the sample as 60.5 ounces and the true weight was found to be 62.5 ounces.

The percentage error will be:

Error / Initial value × 100

= (62.5 - 60.5) / 62.5 × 100

= 2 / 62.5 × 100

= 3.2%

The percentage error is 3.2%.

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The expected value for Alison's investment is $650

A projected average value for an investment at some point in the future is known as the expected value (EV).

A anticipated value for an investment is called expected value (EV). It is determined by averaging all conceivable outcomes, multiplied by the likelihood that they will occur. The long-term average of random variables is known as EV. Additionally, it is the probability-weighted average of every potential value.

Given:

There is a 35% chance that she will make $4000.

25% chance that she will lose $3000.

and a 40% chance that she will break even (make $0).

The expected value can be calculated as:

= ∑ (Probability of event happening x Payoff if event happens)

So, The expected value  is

= (35% x 4000) + (25% x -(3,000)) + (40% x 0)

= 1400 -750+0

= $650

Hence, the expected value is $2,400.

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The value of x is 30 degrees and the value of y = 5

The total figure is divided in to two triangles

Consider the first triangles

All the angles of the triangles is equal that is 60 degrees, This is a equilateral triangles

In equilateral triangles all the sides will be equal

Then the equation will be

8y = 40

y = 40/8

y = 5

Then consider the second triangle

Here, two sides are 40 units and third side is different, therefore it is an isosceles triangle

Then the equation will be

x + x + (180-60) = 180

2x + 120 = 180

2x = 180 - 120

2x = 60

x = 60/2

x = 30 degrees

Therefore, the value of x and y are 30 degrees and 5 respectively

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For the given expression on shapes, if Trapezoid and circle together make a circle , than the difference of triangle and trapezoid equals to a circle.

Given is that -

Trapezoid + circle = triangle

Triangle - trapezoid = circle

We can write -

t + c = T         ..... Eq[1]

T - t = c          ...... Eq[2]

We can write -

Eq [2] as-

T = c + t

Then, equation [1] will be -

t + c = c + t

The statements : if trapezoid + circle = triangle, then triangle - trapezoid = circle is proved to be true.

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The possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix, the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.

A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that are used to represent a mathematical object or an attribute of one.

Since the pivot b must, of course, not be zero, every row entry to the left of the pivot is zero by nature of the row-reduction procedure, which results in a row of the type,

[tex]\left[\begin{array}{ccc}0&0&.......0\ |\ b\end{array}\right][/tex] where b ≠ 0

Therefore, the possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.

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Answer:

-----------------------------

If the two lines have same y-intercept then this is the point of intersection of the two lines.

Since the slopes are different, the y-intercept is the only point of intersection. So there is one solution.

Correct choice is D.

15 pieces will there be.

 .5 is the same as  1/2, while 7.5 is the same as 7 1/2. To determine how many strips may be cut, use the following expression:

.5x = 7.5

This is due to the fact that the ribbon length that has to be cut is .5 feet, and we are attempting to determine how many pieces of that length might be cut from a roll of ribbon that is 7.5 feet long.

Divide both sides by 2.5 to separate the variable, and that's all there is to it.

7.5/.5 is 15.

x = 15.

Eli is able to slice a ribbon into three pieces that are each .5 feet long.

The complete question is: The red strips that are  1/2 feet long. The roll of ribbon is 7 1/2 feet long. Which expression could be one of the steps in determining how many strips can be cut?

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We can say that the view in which one or more faces of the object are not perpendicular to the rest of the faces, but are inclined projections, are the auxiliary views.

Initially, we must know that the views of an object or body are orthogonal projections associated with it.

In this sense, auxiliary views are a type of view that are characterized by arising from a change in projection plane, they are usually used when highly complex parts or objects must be represented.

¡Hope this helped!

Answer:

$5160

Step-by-step explanation:

Each year, he earns 5% of 8600 = 0.05 * 8600 = $430

After 12 years, she will earn 12 * 430 = $5160 in interest

Answer:

6.2 ft

Step-by-step explanation:

a² + b² = c²

a² + 5² = 8²

a² = 64 - 25

a² = 39

a = √39

a = 6.2

Answer: 6.2 ft

As you stated, a convention is as follows: x, y, w, h; likewise, the origin of the picture is from top left, not really the bottom left, as indicated by your drawing. The clusters for top left the box's corner are x, y, and w, h.

Box Bounding In order to characterize the target position in object recognition, we often utilize a bounding box. Both x and y axis values there at upper-left corner as well as the x and y axes coordinates inside the bottom part of the rectangular define the bounding box, which is a rectangular box.

The x - axis and y axis values at the upper-left corner as well as the x and y axis values inside the bottom part of a rectangle define the bounding box, which is a rectangular box. Based on the image, we will create the bounding boxes for the dog and cat.

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Answer:

12 units

Step-by-step explanation:

V = (area of base) × height

height = V/(area of base)

height = 960 units³ / 80 units²

height = 12 units

Answer: We know that 60 mph = 88 feet per sec (this can be shown easily enough).

Then we have a proportion:

60%2F88+=+85%2Fx

and we cross-multiply to get

60x = 7480

x = 124.7 feet per sec

Now multiply that by 1.5 sec and get

187 feet

(This is not realistic...the average alert driver reacts in about 0.15 seconds, not 1.5)

So answer 187 feet

Step-by-step explanation:

Using rule of volume integral , The answer of y=x, y-=0 and x=6 is [tex]216 \pi[/tex].

The process of combining smaller parts into a single, cohesive whole is known as integration.

A volume integral is a specific instance of multiple integrals and is used to denote an integral across a 3-dimensional domain in mathematics, notably multivariable calculus. In physics, volume integrals are crucial for many applications, such as calculating flux densities.

area covered by y=x y=0 and x=6 is [tex]\frac {1}{2} * 6 * 6[/tex]

=18 [tex]unit^{2}[/tex]

Perimeter covered by revolving the area about x-axis, y-axis , x=6 and x=9 is [tex]2*\pi *6[/tex]

=[tex]12 \pi[/tex]

Volume = [tex]18 * 12 \pi[/tex]

=[tex]216 \pi unit ^{3}[/tex]

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Equation of the line passes through (10,2) and is perpendicular to the line y = 2x is given by  y = -x / 2 + 7.

As given in the question,

Given equation of the line :

y = 2x

Line passes through the point (x₁ , y₁ ) = (10, 2)

Standard form of slope intercept form

y = mx + c

'm' is the slope

slope of the given line 'm₁' = 2

let 'm₂' be the slope of the required line

Multiplication of the Slope of two perpendicular lines is given by :

m₁ × m₂ = -1

⇒2 × m₂ = -1

⇒m₂ = -1/2

Equation of the line perpendicular to the given line and passes through

(x₁ , y₁ ) = (10, 2)

y - y₁ = m₂ ( x - x₁ )

⇒ y - 2 = (-1/2) ( x - 10 )

⇒ y = -x / 2 + 7

Therefore, the required equation of the line in slope intercept form is given by  y = -x / 2 + 7 .

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Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

Inequality:

y > 1/3x - 3

Answer:

  c(t) = 105·1.07^t

Step-by-step explanation:

You want an exponential equation describing the cost of athletic shoes that are $105 now and whose cost is growing at 7% per year for t years.

The general form of the exponential equation is ...

  c(t) = a·b^t

where 'a' is the initial cost (105) and b is the growth factor. The growth factor is related to the given growth rate by ...

  b = 1 +r = 1 +7% = 1.07

Then the equation is ...

  c(t) = 105·1.07^t

The required simplified expression is: x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.

The given expression below is:

x² - 9 / (3x²)(3x²) + 9x²

To simplify the given expression, we must first distribute the terms on the numerator and denominator.

The numerator becomes x² - 9 and the denominator becomes (3x²)(3x²) + 9x².

Next, we must simplify the denominator by combining like terms. The denominator becomes 9x⁴ + 9x².

Finally, we can simplify the entire expression by dividing the numerator by the denominator.

This gives us the simplified expression: x² - 9/ 9x⁴ + 9x².

Note that this expression is not defined when x = 0 or x = 3, as it would result in a division by zero.

Thus, the final simplified expression is x² - 9/ 9x⁴ + 9x² for all x ≠ 0 or 3.

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Out of 500 people, 8 have autism, according to the SRS. The rejection zone is revealed to be at significance() = 5%, or 0.05. This figure need to be higher.

What is  autism spectrum ?

Eight people with autism are found out of 500 people in an SRS. Autism, often known as autism spectrum disorder, refers to a wide range of diseases that affect how the brain develops. Therefore, there is a critical need for research on treatment plans that guarantee the best possible outcomes for kids with ASDs. According to several research, autism affects 1% of people globally. You think this number ought to be greater. Using a sample size of 500 persons, you discover 8 cases of autism. 5% significance test for the assertion.

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Answer:

Step-by-step explanation:

Answer:

$6386.1140

Step-by-step explanation:

Using the compound interest formula :

A = P(1 + r/n) ^nt

P 5500 ; rate, r = 10% = 0.10 ; t = 18 months = 18/12 = 1.5 years,

Compounding times per period = 12 (monthly)

Answer: 30%

Step-by-step explanation:

First, calculate the difference between the original number and the new number:

1.30 - 1.00 = 0.30

Second, divide the difference by the original number.

0.30/1.00 = 0.3

Third, multiply the answer by 100 to get the percentage. (Remember cent means 100!)

0.3 * 100 = 30

Therefore, the profit per cent was 30%.

Hoped this helped!

Answer:

[tex]4mn^{2}[/tex] is their common factor.

Step-by-step explanation:

It is the common factor of both as it is a number they are both easily divisible by.

Answer:

  4mn^2

Step-by-step explanation:

You want the common factor of the terms in 16m^2n^2 -12mn^5.

The terms can be factored as ...

  16m^2n^2 = (4)(4)(m)(m)(n^2)

  -12 mn^5 = (-3)(4)(m)(n^2)(n^3)

The factors that are in both lists are ...

  (4)(m)(n^2)

The common monomial factor of the expression is 4mn^2.

__

Additional comment

Factoring out that common factor gives ...

  = 4mn^2(4m -3n^3)

The maximum firing rate will be​ reached after 25 milliseconds and the maximum firing rate is 545 responses per millisecond

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

y = -x^2 + 50x - 80

Rewrite this function as

y = -x² + 50x - 80

Differentiate the function

So, we have

y = -2x + 50

Set to 0

-2x + 50 = 0

So, we have

2x = 50

Divide  by 2

x = 25

Recall that

y = -x² + 50x - 80

Also, we have

x = 25

So, we have

y = -(25)² + 50 x 25 - 80

Evaluate

y = 545

Hence, the maximum is 545 responses per millisecond

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Answer:

i think the answer is something like maybe if the artist is really good at doing something well and looking good

this question is hard

The function of g is -3x+6

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

The g function can be obtained from the graph using two points, the first (0,6) and the second (2,0).

Remember, a line has the following equation:

Since x=0 and y=6, y=mx=b, where'm' denotes the slope and 'b' the interception.

Now to find the slope, lets use the following equation:

m=y2 - y1/x2 - x1

With the previously obtained point.

We have m=-3

g=-3x+6

Therefore the function of g is -3x+6

The complete question is : Write a function g whose graph represents the indicated transformation of the graph of f(x)=6-x.

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The equation of the line in slope-intercept form is y = 3x - 11.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

∴ Slope(m) = (- 5 + 8)/(1 - 0) = 3.

So, y = mx + b can be written as - 5 = 3(2) + b ⇒ b = - 11.

So, The required line is y = 3x - 11.

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The equation of the line passes through the origin and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

An object having an endless length and no width, depth, or curvature is called a line. Since lines can exist in two, three, or higher-dimensional environments, they are one-dimensional things.

Given:

A line passes through the origin (0, 0) and(5,3),

The equation of the line will be,

y - 0 = 3-0 / 5-0 (x -0)

y = 3 / 5x

Put y = 1 then x = 5 / 3

Put y = 2 then x = 2 × 5 / 3 = 10 / 3

Therefore, the equation of line passes through the origin, and (5,3) is y = 3 / 5x and two points are (5 / 3, 1) and (10/3, 2).

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The fraction of the distances of the points A(2·a + 3, 3·a + 4), and B(4 - a, 5 - a) from the x- and y-axis and the value of a > 5, indicates that the value of a is 16.[tex]\overline{4}[/tex]

A fraction is a representation of the amount a part of an item compared to the whole of the item.

The distance from the x-axis to the point A(2·a + 3, 3·a + 4) = 3·a + 4

The distance from the y-axis to the point B(4 - a, 5 - a) = 4 - a

Therefore; 1/5 of the distance from the x-axis to the point A(2·a + 3, 3·a + 4) is (1/5) × (3·a + 4)

6/7 of the distance from the y-axis to the point B(4 - a, 5 - a) is (6/7) × (4 - a)

The details in the question indicates; (1/5) × (3·a + 4) = (6/7) × (4 - a)

However, if a > 5, then 4 - a < 0, while (3·a + 4) > 0, from which we get;

If a > 5, then, (1/5) × (3·a + 4) = (6/7) × (a - 4)

[tex]\dfrac{1}{5} \times (3\cdot a + 4) = \dfrac{6}{7} \times (a -4)[/tex]

7 × (3·a + 4) = 5 × 6 × (a - 4)

21·a + 28 = 30·a - 120

30·a - 21·a = 9·a = 120 + 28 = 148

a = 148/9 = 16.[tex]\overline 4[/tex]

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Answer:

I'm not sure exactly me myself