all real solutions for 8x^3-27x^2-50x+75x=0

Answer:

3) Likely

Step-by-step explanation:

75% chance

Answer: 1 hour

Step-by-step explanation: 3/3 = 1 you divide by 3 to get a third

Answer:

1 hour

Step-by-step explanation:

To solve this, we can multiply 3 by [tex]\frac{1}{3}[/tex].

Therefore, [tex]\frac{1}{3}[/tex] of 3 hours is 1 hour.

The congruency statement TS ≅ HG is true. So the required statement is option c.

According to the congruency theorem, two triangles are considered congruent when they have identical sides and they have the same size angles. This can be proved by conditions such as side-angle-side (SAS), side-side-side (SSS), angle-side-ange (ASA), and right angle-hypotenuse-one another side (RHS). Their orientation need not have to be the same also.

Even though the triangle is rotated, the corresponding part of ΔGHJ and ΔSTR are congruent. So the sides ST = GH, RT= HJ, and SR= GJ. And the angles ∠S= ∠G, ∠T=∠H, and ∠R=∠J. From the given, options, option TS ≅ HG is correct.

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The complete question is -

Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true?

A. TR ≅ GJ

B. ∠S ≅ ∠H

C. TS ≅ HG

D. ∠R ≅ ∠G

The red angle is also greater than 90 degrees but is closer to 90 degrees than the blue angle.

An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The rays are called the sides of the angle. Angles are typically measured in degrees or radians, and are denoted using the symbol "∠".

Here the blue angle is greater than 90 degrees, but we need to find an angle that is also greater than 90 degrees and closer to 90 degrees than the blue angle.

Since the blue angle is obtuse (greater than 90 degrees), we need to look for an acute angle (less than 90 degrees) that is closer to 90 degrees than the blue angle.

Looking at the figure, we can see that the red angle appears to be the closest to 90 degrees. The red angle is acute and seems to be closer to 90 degrees than the blue angle.

Therefore, the answer is the red angle.

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The equation has x = 2 and x = 5. A valid solution for x is x = 5

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

√(x - 1) - 5 = x - 8

Add 5 to both sides

This gives

√(x - 1)  = x - 3

Square both sides

So, we have the following representation

x - 1 = x² - 6x + 9

Evaluate the like terms

x² - 7x + 10 = 0

This gives

(x - 2)(x - 5) = 0

Solve for x

x = 2 and x = 5

Testing the solutions, we have

√(2 - 1) - 5 = 2 - 8

-4 = -6 ---- falsee

√(5 - 1) - 5 = 5 - 8

-3 = -3 ---- true

Hene, the valid value of x is 5

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Answer:

Step-by-step explanation:

120.96

720 hours is equal to 30 days.

One hour contains 60 minutes or 3,600 seconds.

In one day there are 24 hours.

Earth requires 24 hours to complete one rotation.

It is defined as exactly 86,400 seconds.

1 Hour equal to 0.041666667 Days

We have to convert 720 hours to days,

We have to divide the number of given hours by the number of hours in one day.

There are 24 hours in a day,

so we can write it as:

720 hours / 24 hours/day = 30 days

Hence, After conversion we get  720 hours is exactly equal to 30 days.

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The measurements of AB = 20 in and AC = 10 in

Triangles that are similar to each other have corresponding sides that are proportional to one another and corresponding angles that are equal to one another.

Triangles with similar appearances can have varying diameters. In a set of similar triangles, the ratio of corresponding sides will be equal.

Here we have

Two Similar  triangles ABC and CDE  

Since the two triangles are Similar

=> AB/DE = AC/EC = BC/DC

Substitute each measurement of the sides

=> AB/16  = AC/8 = 15/12  

Take, AB/16 = 15/12  

=> AB/16 = 5/4

=> AB = 5(16)/4

=> AB = 20 in  

Take AC/8 = 15/12  

=> AC = 15(8)/12

=> AC = 15(2)/3

=> AC = 10

Therefore,

The measurements of AB = 20 in and AC = 10 in

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Answer:

Step-by-step explanation:

The probability that one randomly selected jelly bean is red is 15% or 0.15. Because another jelly bean of the same color is replaced after each selection, the probability of selecting a red jelly bean on any given selection remains constant at 0.15.

The probability of selecting three red jelly beans in a row can be calculated using the multiplication rule of probability. According to this rule, the probability of two independent events occurring together is the product of their individual probabilities.

Therefore, the probability of selecting three red jelly beans in a row is:

P(three red jelly beans in a row) = P(red) x P(red) x P(red)

= 0.15 x 0.15 x 0.15

= 0.003375 or 0.3375%

Therefore, the probability that three beans in a row are red is 0.3375%.

The quotient of 25 divided by 25,704 is approximately 0.00097 (rounded to five decimal places).

When splitting huge numbers, the task is divided into several sequential steps using the long division approach. The dividend is divided by the divisor, just like in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.

The long division for 25 divided by 25,704 is shown below:

code :

0.00097

-------

25704 | 25.00000

      0

      --

     250

     257

     ---

      -7

As a result, the result of 25 divided by 25,704 is almost 0.00097. (rounded to five decimal places).

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The GDP deflator reflects only the prices of all goods and services produced domestically, whereas the CPI (Consumer Price Index) reflects the prices of a fixed basket of goods and services purchased by consumers.

The GDP deflator is a measure of the average level of prices of all new, domestically produced, final goods and services in an economy. It measures the ratio of the value of goods and services produced in a given year at current prices to their value at base year prices. In contrast, the CPI measures the average change over time in the prices paid by urban consumers for a fixed basket of goods and services, including food, housing, transportation, and other goods and services. The GDP deflator is often used to adjust nominal GDP (Gross Domestic Product) to real GDP, which is a measure of economic output that takes into account the effects of inflation. The CPI, on the other hand, is used to adjust income and spending data for changes in the cost of living. In summary, while both the CPI and GDP deflator are measures of inflation, they reflect different aspects of the economy. The CPI reflects the prices paid by consumers for a fixed basket of goods and services, while the GDP deflator reflects the prices of all goods and services produced domestically.

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Complete Question

the CPI for this year is calculated by dividing the using by the using and multiplying by 100. however, the GDP deflator reflects only the prices of all goods and services            . Fill in the blanks.

The number of fiction books is given as follows:

58 fiction books.

The number of fiction books is obtained applying the proportions in the context of the problem.

The total number of books is of 580, while the percentage of fiction books is of 10%. Hence the number of fiction books is obtained as follows:

0.1 x 580 = 58 fiction books.

The percentage of fiction books is of 10%.

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Based on the currency exchange rate you gave, 1 British pound (GBP) is equal to 1.202639 American dollars (USD) as of February 20, 2023.

In other words, if you were to swap 1 GBP for USD, you would get back 1.202639 USD.

Again, it's crucial to remember that exchange rates are frequently susceptible to changes due to a variety of economic and political variables, and the real rate may be different at the time of your transaction.

Before performing any currency conversions or foreign transactions, it is usually a good idea to verify the current exchange rate.

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Answer:

Therefore, the unknown number is 5.

Step-by-step explanation:

We can translate "Eight times the difference of a number and six is negative eight" into an algebraic equation as given below,

8(x - 6)

= -8                (where x is the unknown number we are trying to find)

The expression "the difference of a number and six" means x - 6. So, "eight times the difference of a number and six" means 8(x - 6).

The equation states that the product of 8 and the difference of the number x and 6 is equal to -8.

To solve for x, we can simplify the equation,

8(x - 6) = -8

8x - 48 = -8

8x = 40

x = 5

Therefore, the unknown number is 5.

The congruence theorems and postulates that could be given as reasons why JKL=QRS are

HL is the hypotenuse-leg theorem.  It states that if the hypotenuse and leg of one triangle are congruent to the hypotenuse and corresponding leg of another triangle, the triangles are congruent.  We have that both legs of the triangles are congruent as well as the hypotenuse, so the HL theorem applies.

LL is the leg-leg theorem.  It states that if both legs of one right triangle are congruent to both legs of the second triangle, the triangles are congruent.  We have that both legs are congruent; this is the LL theorem.

SSS is the side-side-side theorem. It states that if all three sides of one triangle are congruent to the three sides of another triangle, then the triangles are congruent.  All three sides of both triangles are congruent, so this is the SSS theorem.

SAS is the side-angle-side theorem.  It states that if two sides and an included angle of one triangle are congruent to the corresponding two sides and included angle of another triangle, then the triangles are congruent.  We have JL≅QS, ∠L≅∠S and LK≅SR.  This is the SAS theorem.

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An equation in slope-intercept form to represent this linear function is y = 65x + 40.

The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.

The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Let the fee per month = x.

Given that, A membership at Rocky Heights Climbing Gym costs $65 per month plus a $40 initial fee.

y = 65x + 40.

Hence, an equation in slope-intercept form to represent this linear function is y = 65x + 40.

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Answer:

Step-by-step explanation:

25,584km

Quick Note: I don't know what your answer are ?1!

Step-by-step explanation:

(4x⁵ + 11)²

= (4x⁵)² + (2 * 4x⁵ * 11) + (11)²

= 16x¹⁰ + 88x⁵ + 121

The conversion of 2400 dollars to yen is 264,000 yen.

It's worth noting that the actual exchange rate at the time of the conversion may be different and can affect the resulting amount of yen.

To convert 2400 US dollars (USD) to Japanese yen (JPY), we need to use the current exchange rate between these two currencies. The exchange rate can fluctuate over time, so the conversion result may vary depending on when you make the conversion.

As of my knowledge cutoff of September 2021, the exchange rate was roughly 1 USD = 110 JPY. Using this exchange rate, we can calculate the conversion as follows:

2400 USD × 110 JPY/USD = 264,000 JPY

Therefore, 2400 US dollars is equivalent to approximately 264,000 Japanese yen using this exchange rate.

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Answer:

The formula for the volume of a cylinder is:

V = πr^2h

where r is the radius of the cylinder and h is its height.

In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:

V = π(x+3)^2(x+11)

Simplifying this expression, we have:

V = π(x^2 + 6x + 9)(x+11)

V = π(x^3 + 17x^2 + 69x + 99)

Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.

a. The value of angle y = 36°

b. The value of angle x = 57°

c. The relationship used to solve for y is sum of angles on a straight line

d. The relationship used to solve for x is sum of angles in a triangle

Triangles are polygons with 3 sides.

In ΔQPS and ΔQSR, ∠QSP + ∠QSR = 180° (sum of angles on a straight line)

Since ∠QSP = 2y and ∠QSR = 4y - 36°, we have that

2y + 4y - 36° = 180°

so, adding, we have

6y - 36° = 180°

Adding 36° to both sides, we have

6y = 180° + 36°

6y = 216°

y = 216°/6

y = 36°

In ΔQPS and ΔQSR, ∠PQS + ∠QPS +  ∠QSP = 180° (sum of angles in a triangle)

Since ∠QSP = 2y, ∠PQS = x and ∠QPS = 51°, we have that

2y + x + 51° = 180°

So, making x subject of the formula, we have that

x = 180° - 51° - 2y

x = 129° - 2y

Substituting y = 36° into the equation, we have that

x = 129° - 2y

x = 129° - 2(36°)

x = 129° - 72°

x = 57°

The relationship used to solve for y is sum of angles on a straight line

The relationship used to solve for x is sum of angles in a triangle

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The value of x found using the properties of the isosceles triangle is  92°.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. An isosceles triangle has two equal-sized angles that are opposite from one other and have equal sides. Although this triangle's two sides are equal, the base of the triangle is the side that is not equal.

Given a = 22°

Since it is an isosceles triangle, a = 1 = 22°

One of the properties of a triangle is that the exterior angle of a triangle is equal to the sum of the two interior opposite angles.

Here ∠2 is the exterior angle of the first isosceles triangle.

So ∠2 = ∠1 + a = 22 + 22 = 44°

Now∠ 3 = ∠2 = 44°

∠x = 180 - (∠2+∠3) = 180 - (44+44) = 92°

∠4 = 180 - (x+∠1) = 180 - (92+22) = 66°

∠5 = ∠4 = 66°

∠y = 180 - 66 -66 = 48°

∠6 = 180 - ∠y - ∠3 = 180 - 48 - 44 = 88°

∠7 = ∠6 = 88°

∠x = 180 - ∠7 = 180- 88 = 92°

Therefore the value of x found using the properties of the isosceles triangle is  92°.

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The limit definition of a derivative is a mathematical method used to calculate the instant rate of change of a characteristic at a particular point. it is based at the idea of the limit of a function because the input techniques a certain cost.

The limit definition of a derivative is expressed as follows:

[tex]f'(x) = lim (h → 0) [f(x + h) - f(x)] /h[/tex]

Wherein f'(x) represents the derivative of the function f(x) at a particular factor x. The expression [tex]( f(x + h) - f(x)) / h[/tex] represents the common price of alternate of the characteristic over a small interval of size h, focused at x. The limit of this expression as h approaches 0 represents the instant fee of change of the characteristic at x, or the slope of the tangent line to the function at that factor.

The limit definition of a derivative is a fundamental concept in calculus and is used to calculate the slopes of tangent lines, to find maximum and minimum factors, and to clear up optimization issues in a huge variety of packages.

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Answer:

I think the system has infinite solutions.

Step-by-step explanation:

The compound interest at the end of 6 years is $1725.14

Compound interest is a type of interest that is calculated not only on the initial principal amount but also on any accumulated interest that has been added to the principal. In other words, the interest that is earned on the principal is added to the principal, and then interest is calculated on the new total.

The formula for compound interest compounded continuously is

A = Pe^rt

A = 1100e^(0.075 * 6)

A = $1725.14

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Answer:

No she didn't meet her goal

Step-by-step explanation:

Time taken by Karen = 43.52 seconds

Time taken by Annie = 4.08 seconds less than Karen or 43.52-4.08 = 39.44 seconds

No. Annie missed her goal by 0.06 seconds

The the required equation is, y = -7/4 *x - 7 , in slope-intercept form.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have

from the given graph we get,

the line passes through two points (-4,0) and, (0,-7)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-0)/(x+4)=(-7-0)/(0+4)

=>4y= -7x -28

=>y = -7/4 *x - 7

Hence, the required equation is, y = -7/4 *x - 7 , in slope-intercept form.

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Using ratios we know that the area of the 2nd garden is 4 times larger than the area of the 1st garden.

A ratio in mathematics displays how often one number occurs in another.

For instance, if there were eight oranges and six lemons on a fruit platter, the ratio of oranges to lemons would be eight to six.

In comparison to lemons, which make up 6:8, oranges account up 8:14 of the overall fruit.

A calculator will return a result of 0.6 decimals if you enter this.

In other words, any two numbers that divide to produce the same result are equal to 3/5.

So, the area of the 1st garden:

9 ft long and 61/2 ft wide

The area of the 2nd garden:

36 ft long and 6/1/2 ft wide

Now, since the breadth is the same, let's consider the length:

9ft and 36ft

9:36

9/36

1/4

Therefore, using ratios we know that the area of the 2nd garden is 4 times larger than the area of the 1st garden.

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Answer:

The 2nd garden is 4 times bigger because you do

9:36

9/36         which gets you ur answer

1/4

Step-by-step explanation:

I hope this helped :) Brainliest please?

The conversion of 80°C to Fahrenheit is equivalent to 176 degrees Fahrenheit.

Whereas most other nations and for scientific reasons across the world use the Celsius or centigrade scale, the United States uses the Fahrenheit system.

The formula to convert a temperature from the Celsius (°C) scale to its Fahrenheit (°F) equivalent is:

°F = (9/5 × °C) + 32.

To convert 80 degrees Celsius to Fahrenheit, we can use the following formula:

°F = (°C x 1.8) + 32

Plugging in the value for 80°C, we get:

°F = (80 x 1.8) + 32

°F = 144 + 32

°F = 176

Therefore, 80 degrees Celsius is equivalent to 176 degrees Fahrenheit.

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Answer:

589

Step-by-step explanation:

divide the money they spend on 3 weeks by 3 zo you will get how much they spend one week

1767/3=589