(7.07+70.007+7.0007+700)/7
Please help really fast.

Answer:

câu này là 500 nhen

\(\huge\text{Hey there!}\)

The term in which both the patterns has the same value is term 5.

The correct answer choice is option B.

Pattern A:

First term, a = 100

Common difference, d = 10

Pattern B:

First term, a = 80

Common difference, d = 5

Pattern A:

First term = 100

Second term = 100 - 10 = 90

Third term = 90 - 10 = 80

Fourth term = 80 - 10 = 70

Fifth term = 70 - 10 = 60

Pattern B:

First term = 80

Second term = 80 - 5 = 75

Third term = 75 - 5 = 70

Fourth term = 70 - 5 = 65

Fifth term = 65 - 5 = 60

In conclusion, both patterns has the same value at term 5.

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The given inequality 2x² 25x + 33 < 0 has been proved by using properties of parallelogram.

The formula A = bh, where b is the parallelogram's base and h is its height, determines the area of a parallelogram.

Let's use x + 6 cm for the parallelogram's base and 2x + 3 cm for its height in the diagram. The parallelogram's area can therefore be represented as follows:

A = (x + 6)(2x + 3)

By extending this phrase, we get:

A = 2x² + 15x + 18x + 18

A = 2x² + 33x + 18

We now know that the parallelogram's area is more than 10.5 cm2. As a result, we can create the disparity shown below:

2x² + 33x + 18 > 10.5

By taking away 10.5 from both sides, we arrive at:

2x² + 33x + 18 - 10.5 > 0

By condensing the left side, we obtain:

2x² + 22.5x + 7.5 > 0

When we multiply both sides by 2, we obtain:

4x² + 45x + 15 > 0

By taking 3 away from both sides, we arrive at:

4x² + 45x + 12 < 0

As a result, we have demonstrated that 2x² 25x + 33 < 0.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

Thus percentile lies between 53.3% and 55.6 %

Step-by-step explanation:

First we arrange the data in ascending order . Then find the number of the values corresponding to the given value. Then equate it with the number of observations and x and then multiply it to get the percentile. n= P/100 *N

where n is the ordinal rank of the given value

N is the number of values in ascending order.

The data in ascending order is

0.1 0.2 0.2 0.2 0.3 0.6 0.6 0.6 0.7 0.8 0.8 0.8 0.9 1.3

1.5 1.7 1.9 2.2 2.3 2.3 2.6 2.8 3.3 3.5 5.5 6.1 6.4 6.9 7.5 7.9 8.3 9.8 10.1 11.8 11.9 12.1 12.3 12.7 12.9 13.8 13.8 14.6 14.7 14.8 27.5

Number of observation = 45

4.9 lies between 3.3 and 5.5

x*n = 24 observation x*n = 25 observation

x*45= 24 x*45= 25

x= 0.533 x= 0.556

Thus percentile lies between 53.3% and 55.6 %

Answer:

A

Step-by-step explanation: not sure how i can explain it but im pretty sure that is correct, theres not really an explanation as much as thats just how it is if you understand.

The expected value ( mean) of the sample proportion is 50 that is shown in a step-by-step manner.

Step: 1

21- It is claimed that 25 % of students who take Algebra get

an A in the course. i.e.,  = 0.25

If a random sample of =200 students is selected.

The expected value ( mean) of the sample proportion

= n x p

= 0.25*200

= 50

An average of n numbers computed by adding some function of the numbers and dividing by some function of n. Expected value (also known as EV, expectation, average, or mean value) is a long-run average value of random variables. It also indicates the probability-weighted average of all possible values. Expected value is a commonly used financial concept

The expected value ( mean) of the sample proportion is 50.

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When a line segment is divided into multiple parts of equal length, it is referred to as a subdivision. A subdivision can be divided into any number of equal parts, and in this case, the angle in question will be divided into nine equal parts.

To determine each piece's measurement when the angle is cut into nine equal parts, follow the steps outlined below:

Step 1: Determine the total measurement of the angle. The angle's total measurement is determined by adding the two angles adjacent to it. For example, if two angles adjacent to it measure 70 and 120 degrees, the angle's total measurement would be 190 degrees.

Step 2: Divide the total angle measurement by 9 to determine each piece's measurement. The total angle measurement is divided by the number of equal parts that the angle is to be subdivided. In this case, the total measurement of the angle is 190 degrees, and when divided by nine, it results in each piece's measurement being approximately 21.11 degrees.

Step 3: Determine the cut's kerf width, which is 0.125 in this case. Multiply the number of cuts required by the kerf width. When a kerf is cut into the angle, the amount of material removed must be taken into account.

As a result, the kerf width is multiplied by the number of cuts required to obtain the actual cut size. In this case, the angle is to be divided into nine equal pieces, so eight cuts will be required.

Multiplying eight cuts by 0.125 results in a total material removed of 1 inch. As a result, each piece's measurement would be 20.77 degrees (190 degrees - 1 inch / 9 pieces = 20.77 degrees per piece).In conclusion, if an angle is cut into nine equal parts, the measurement of each piece will be approximately 21.11 degrees.

However, if a kerf width of 0.125 is considered, each piece's actual measurement will be 20.77 degrees.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:42.55

Step-by-step explanation:

Les get the big boi out of the way first. We see that it is 3.5 by 9 and if we multiply we get 31.5. Next left triangle 2 by 2 so four but divided by 2 is 2. God so many  2's. So total is 33.5 so far. Next triangle is 2 by 5 soo  10 divided by 2 is 5. total is 38.5. Last dude in the middle. We know one side is two so we have to subtract here from the triangles which gets u the other side of 2 so 4. Total is 42.5

The Area of the Shape Shown is 42.5 square units.

The area of Rectangle is length times of width.

The area of the rectangle in the given figure is

Area of rectangle=3.5×9

=31.5 square units.

The area of left side triangle is

Area of triangle=1/2×2×2

=2 square units

The area of right side triangle 1/2×5×2

=5 square units

Now the area of square =2²

=4 square units.

Now total area of figure is 31.5+2+5+4 is 42.5 square units.

Hence, the Area of the shape Shown is 42.5 square units.

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When substituting y = 11 into the equation y = 1/2(x) - 25, we find that x = 72, confirming that (23.5, 11) is a valid point of intersection.

Given that x is 23.5, it is required to prove that it is an intersection point for the equation y = 1/2(x) - 25 when y is equal to 11.

The equation is given as y = 1/2(x) - 25

When y = 11, we can substitute the value of y in the equation to obtain 11 = 1/2(x) - 25

This can be simplified as 11 + 25 = 1/2(x)36 = 1/2(x)

On solving, x = 72Thus, when y is equal to 11 and x is equal to 72, the given point of intersection is valid.

Therefore, it can be concluded that x = 23.5 is a point of intersection for the equation y = 1/2(x) - 25 when y is equal to 11.

In summary, when given an equation with two variables, we can find the point of intersection by setting one of the variables to a given value and solving for the other variable. In this case, when y is equal to 11, we can solve for x and obtain the point of intersection as (72,11).

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Answer:

Exterior angle = m∠160°

Step-by-step explanation:

Given the measures of two interior opposite angles, m75° and m∠85°, and that the prompt requires us to find the measure of the exterior angle of a triangle:

In order to find the measure of the exterior angle, we must apply the Exterior Angle Theorem which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of two non-adjacent remote interior angles.  

Let x = exterior angle of a triangle

In order to solve for the measure of x, we can set up the following equation:

x = m∠75° +  m∠85°

x = 160°  ⇒ Measure of the exterior angle of a triangle.

We must verify whether we have the correct value for the exterior angle of a triangle. In reference to the Triangle Sum Theorem, which states that the sum of all interior angles of a triangle is equal to 180°.

Since we already have the measures of the two remote interior angles and the exterior angle of a triangle, we can find the measure of the third interior angle of a triangle by setting up the following equation:

m∠75° +  m∠85° +  m∠y° = 180°

Where ∠y is the unknown third interior angle of a triangle.

m∠75° +  m∠85° +  m∠y° = 180°

160° +  m∠y° = 180°

Subtract 160° from both sides of the equation:

160° - 160° +  m∠y° = 180° - 160°

m∠y° = 20°  ⇒  Third interior angle of a triangle.

Hence, the measures of the three interior angles of a triangle are: 75°, 85°, and 20°, for which the third angle (∠y) and the exterior angle of a triangle (∠x) are supplements:

m∠x°  + m∠y°  = 180°

160° + 20° = 180°

180° = 180°  (True statement).

Therefore, the measure of the exterior angle of a triangle is 160°.

Answer:

the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Step-by-step explanation:

Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).

Therefore, the experimental probability that the next boat to dock will be from North Carolina is:

P(North Carolina) = 5/13

For the second question:

Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:

P(chipped) = 2/10 = 1/5

Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Answer:

amplitude = 3, period = , and frequency = 2

super sorry if this is wrong but I hope this is right

Answer:

y = 1/3x + 2

Step-by-step explanation:

Slope - Intercept Form = y = mx + b

y - intercept = b = 2 (point of intersection of the y-axis)

m = slope

Slope = Change in Y/Change In X

You can see that as the graph goes up by 1, it goes to the right 3, so slope = 1/3

Equation : y = mx + b

Equation : y = 1/3x + 2

-Chetan K

Answer:

Step-by-step explanation:

Equation : y = mx + b

Equation : y = 1/3x + 2

A quadratic equation 20x² + 25x - 30 can be factored as 5(4x - 3)(x + 2).

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

To factor 20x² + 25x - 30 by decomposition,

we need to find two numbers that multiply to give 20 times -30, which is -600, and add up to 25.

We can use trial and error to find these numbers, or we can use a more systematic method.

Step 1 -

First, we need to factor out the greatest common factor, which is 5:

20x² + 25x - 30 = 5(4x² + 5x - 6)

Now we can focus on factoring the quadratic expression inside the parentheses.

Step 2 -

We want to find two numbers that multiply to give -24 (4 times -6) and add up to 5. These numbers are 8 and -3 since 8 times -3 is -24 and 8 plus -3 is 5.

Step 3 -

So we can write:

4x² + 5x - 6 = 4x² + 8x - 3x - 6

= 4x(x + 2) - 3(x + 2)

= (4x - 3)(x + 2)

Step 4,

Putting it all together, we have:

20x² + 25x - 30 = 5(4x² + 5x - 6) = 5(4x - 3)(x + 2)

Therefore, the factors are 5(4x - 3) and (x + 2).

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The probability of rolling a sum from 2 to 12 on 2 dices is 100%

Given the data,

The two dice should be rolled.

Now, there are 36 possibilities that might occur while rolling two normal six-sided dice. The reason for this is that when rolling two dice, the total number of outcomes is the product of the numbers of outcomes for each die, and each die has six potential outcomes (numbers 1 through 6).

The resultant 36 results are as follows:

1-1, 1-2, 1-3, 1-4, 1-5, 1-6

2-1, 2-2, 2-3, 2-4, 2-5, 2-6

3-1, 3-2, 3-3, 3-4, 3-5, 3-6

4-1, 4-2, 4-3, 4-4, 4-5, 4-6

5-1, 5-2, 5-3, 5-4, 5-5, 5-6

6-1, 6-2, 6-3, 6-4, 6-5, 6-6

When using two dice, there are a total of 36 possibilities that might occur.

As a result, the results' total ranges from 2 to 12.

Hence , the probability is 100 %

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The solution to the equation 3 / 5x-2 = 2 / 3x-1 is x = 1.

Given the equation in the question;

3 / 5x-2 = 2 / 3x-1

To solve for x, cross multiply the equation

3 / 5x-2 = 2 / 3x-1

3( 3x - 1 ) = 2( 5x - 2 )

Apply distributive property

3( 3x - 1 ) = 2( 5x - 2 )

3×3x + 3×-1 = 2×5x + 2×-2

9x - 3 = 10x - 4

Subtract 10x from both sides

9x - 10x - 3 = 10x - 10x - 4

9x - 10x - 3 = - 4

Add 3 to both sides

9x - 10x - 3 + 3 = - 4 + 3

9x - 10x  = - 4 + 3

-x = -1

Divide both sides by -1

-x/-1 = -1/-1

x = 1

Therefore, the value of x is 1.

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(A). Yes, overdetermined systems can be consistent.

As, the system of equations below is consistent because it has a solution

x1 = 2 , x2 = 4 , x1 + x2 = 6.

We have,

'Over-determined system is a system of linear equations, in which there are more equations than unknowns'.

If we have m equations and n variables where m>n (more equations than variables), then system can be consistent if last m−n equations are linear combinations of previous ones.

For e.g. Let us consider the system,

x + y = 1

x - y = 1

3x + y = 3

solving these equations, we can see

The only intersection point is (1,0). Thus, x= 1 and y= 0 is the solution of this system.

Thus, over-determined system can be consistent.

According to the options,

Hence, option A is correct.

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Answer:

Step-by-step explanation:

Since the cannonball is fired at an angle of 45°, it will have the same horizontal and vertical velocities.

Let x be the distance it travels before it is 600 feet above ground. At this point, its vertical displacement will be 600 feet, and we can use the formula for vertical displacement:

y = v0*t + (1/2)at^2

Since there is no initial vertical velocity and we are ignoring gravity, a = 0 and the equation simplifies to:

y = 0*t + 0 = 600

Solving for t, we get:

t = sqrt(2y/a) = sqrt(2*600/0) = undefined

This means that the cannonball will never be 600 feet above ground if we ignore gravity. Since this is not realistic, we cannot answer this question without additional information or by assuming that gravity is acting on the cannonball.

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A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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You could say "7328 dollars and 42 cents", but the shorter format is preferred in my opinion.

====================================

Work Shown:

A = P*e^(r*t)

A = 6000*e^(0.04*5)

A = 7328.41654896153

A = 7328.42

The symbol 'e' is a special number in math similar to how pi = 3.14 is another important symbol. If your calculator doesn't have a button labeled 'e', then replace 'e' with 2.718 to use its approximation.

Answer:

\(\frac{7}{25}\)

Step-by-step explanation:

In the interval \(n\in [1, 25]\), there are \((25-1)+1=25\) numbers total. The number \(2\) appears as the ones digit for \(3\) numbers in this interval: \(0\bold{2}, 1\bold{2}, 2\bold{2}\). The subset \(n\in [20, 25]\) marks the interval of numbers in the set that has the number \(2\) as the tens digit. There are \((5-1)+1=5\) numbers in this set. Since \(22\) is counted twice, there are a total of \(5+3-1=7\) numbers in the original interval that contain the number \(2\). Therefore, the probability a random selected number from the interval has the number \(2\) in it is \(\fbox{$\frac{7}{25}$}\).

Answer:

I hope this helps :)

Step-by-step explanation:

uh I think this is what you want

1/2 times 1/4 = 1/8

multiply numerators: 1 times 1 = 1

multiply the denominators: 2 times 4 = 8

in total: 1/8

Answer:

the answer is

Diameter, Radius, Circumference

Hope it will help :)

Answer:

50mph

Step-by-step explanation:

Time = 7hrs 30 min = 7.5 hrs

Distance =  375 miles

Speed = 375/ 7.5 = 50mph

I hope im right!!

Answer:

50 mph

Step-by-step explanation:

50 mph