which of the following options is the decimal equivalent of 2 7/9

2.8

1.5

1.6

2.7 (The seven has a line over it)

Answer:

Option B is correct

Step-by-step explanation:

Both the exponential functions f(x) = e(x - 4) and g(x) = (1/2)e(x - 4) have e(x - 4) as their base function. This base function shows a horizontal shift for both functions of 4 units to the right.

We can see that g(x) is produced by multiplying the base function by 1/2 in order to compare the two functions. The graph is vertically compressed as a result of this multiplication, but the horizontal shift is unaffected.

Since the horizontal shift is unchanged, the only difference between the two functions is the vertical compression factor.

The value of x is: x = 35.57.

Here, we have,

given that,

from the given diagram, we get,

it is a right angle triangle,

base = x

hypotenuse = 37

and angle = 16°

now, we know that,

cos θ = adjacent / hypotenuse

so, we get,

cos 16° = x/37

The value of cos 16° is equal to the x-coordinate (0.9613).

∴ cos 16° = 0.9613.

=> 0.9613 = x/37

=> x = 35.57

Hence, The value of x is: x = 35.57.

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Answer:

Step-by-step explanation:

Answer:

If each side of tangle is increased by 25 %, then find the percentage increase or decrease in area

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

d equals 2r r=4 four squared equals 16 16 * π = 50.24

Answer: A = (1m/3)^2 or A= (1/3)^2 m

Or A= (1/3)(1/3)

Step-by-step explanation:

No choices given, but it will look like one these answers.

The area of a square that has a side length of 1/3 meter is 1/9 square meter.

I hope this helps you.

Answer:

a= (1/3)(1/3)

Step-by-step explanation:

Answer:

18-15

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Plug in: d = 9, e = 5

(9)2 - 3(5)

9 x 2 = 18

-3 x 5 = -15

18 - 15 = 3

The proper way to move on coordinate surface from point A's location to point b is to move 6 units to the right and 1 unit to the up. The correct option is a.

What does the word "coordinate" mean in mathematics?

Coordinates are a pair of numbers (also known as Cartesian coordinates), or occasionally a letter and an integer, that identify a particular point on a grid,also known as a coordinate system. The \(x\) -axis (horizontal) and \(y\) -axis are the two vectors on a coordinate plane, which has four quadrants. (vertical).

On the coordinate surface, we can use the following methods to move from Point A to Point B:

Point A, which is two units to the right of the Centre and nine units up, is a good place to start.

Point C, which is situated at Move five floors to the toward the right and five units up to get there. (5, 5).

Move three units to your right and three units up from Point C to Point B, which is situate

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The correct answer is: O Neither; because the equation is not an exponential function.

The equation y = 900(1 - 0)5 can be simplified to y = 900(1)5 = 900.

In this case, the equation represents neither exponential growth nor exponential decay. It simply states that the value of y is constant and equal to 900. There is no change or growth/decay occurring over time or any other independent variable.

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Answer:

yes, this is a function

Answer:

\(=x^3-x^2-30x+72\)

Step-by-step explanation:

Distribute parentheses:

\(=xx^2+x\left(-7x\right)+x\cdot \:12+6x^2+6\left(-7x\right)+6\cdot \:12\)

Apply minus - plus rule:

\(=x^2x-7xx+12x+6x^2-6\cdot \:7x+6\cdot \:12\)

Simplified:

\(=x^3-x^2-30x+72\)

Its complicated but..

Step-by-step explanation:

( x + 6 ) ( x^2 - 7x + 12 )

x ( x^2 - 7x + 12) + 6 ( x^2 - 7x + 12 )

x^3 - 7x^2 + 12x + 6x^2 - 42x + 72

x^3 + 6x^2 + 12x - 42x - 7x^2 + 72

19x - 49x + 72

30x + 72

x = 72/30

x = 2.4

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

A Polygon is a closed figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides). A minimum of three line segments is required to connect end to end, to make a closed figure.

Triangles, hexagons, pentagons, and quadrilaterals are all examples of polygons.

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°.

Therefore;

Two polygons are similar if their corresponding angles are congruent and the corresponding sides have a constant ratio.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

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Given,

Time taken to cover the last last straight stretch of a race = 4 seconds

He speeds up from 5 m/s to 9 m/s

To find,

The acceleration of the runner.

Solution,

We can simply solve this numerical problem by using the following process.

Here,

Initial velocity (u) = 5 m/s

Final velocity (v) = 9 m/s

Time (t) = 4 seconds

Acceleration (a) = ?

According to the formula of kinematics,

a = (v-u)/t

a = (9-5)/4 [By putting the given values.]

a = 4/4 = 1 m/s²

(We have used SI unit of the acceleration, because all the initial physical quantities are also in SI units.)

Hence, the acceleration is 1 m/s²

6.25 years are taken to get interest of $100 with a principal of $800.

Simple interest is a method of calculating the interest charged or earned on a loan or investment. It is based only on the principal amount of the loan or investment, without taking into account any additional interest that may accrue over time.

Given

Principal Amount, P=$800

Interest, SI=$100

Rate of interest, r=2% p.a (given in pictogram)

SI=PRT/100

100=800×2×t/100

t=6.25years

Hence, 6.25 years are taken to get interest of $100 with a principal of $800.

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The graph that represents the linear equation, 5x+3y=30, is: the third graph that is attached below.

The graph that represents a linear equation will have a slope of "m"  which is the rise of the line over the run of the line, and a y-intercept of b, which is the point on the y-axis that is intercepted by the line.

Given the linear equation, 5x + 3y = 30, rewrite in slope-intercept form as y = mx + b, in order to determine the slope (m) and the y-intercept (b) of the graph that would represent the linear equation.

Thus:

3y = -5x - 30

3y/3 = -5x/3 - 30/3

y = -5/3x - 10

This means the graph will have a ratio rise/run (m) = -5/3, and the line will intercept the y-axis at y = -10.

The graph that has a slope (m) of -5/3 and the y-axis is intercepted at -10, is the third graph that is attached below.

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Answer:

A meter is equal to 100 centimeters.

Step-by-step explanation:

Hope this Helps!!

Answer:

145°

Step-by-step explanation:

180 - 35 = 145

145°

Answer:

a. line of symmetry

Step-by-step explanation:

Answer:

not a thats all i know

Step-by-step explanation:

The probability that 2 out of 10 call center representatives will be rated as unsatisfactory is approximately 0.002853, or 0.2853%.

To find the probability that 2 out of 10 call center representatives will be rated as unsatisfactory, we can use the binomial probability formula.

The formula is:
P(X=k) = (n C k) * p^k * (1-p)^(n-k)

Where:
P(X=k) is the probability of getting exactly k successes in n trials
n is the number of trials (sample size), which is 10 in this case
k is the number of successes (call center representatives rated as unsatisfactory), which is 2 in this case
p is the probability of success (call center representatives rated as unsatisfactory), which is 5% or 0.05

Using this information, we can calculate the probability as follows:

P(X=2) = (10 C 2) * 0.05^2 * (1-0.05)^(10-2)

Calculating this equation gives us:

P(X=2) = (10 C 2) * 0.05^2 * 0.95^8

The combination formula (10 C 2) can be calculated as:

(10 C 2) = 10! / (2! * (10-2)!)

Simplifying further:

(10 C 2) = 10! / (2! * 8!)

Calculating 10! and 8! gives us:

(10 C 2) = 10 * 9 / (2 * 1)

Simplifying:

(10 C 2) = 45

Substituting the values back into the equation:

P(X=2) = 45 * 0.05^2 * 0.95^8

Calculating this equation gives us:

P(X=2) = 0.002853

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Answer:

226.19

Step-by-step explanation:

just use the go'gle calculator

Answer:

Step-by-step explanation:

I'd be glad to try and help. What's the question?

Answer:

Step-by-step explanation:

what is your question?

(a) The number of ways that the event can occur is 6.

(b) Probabilities are :

1) 1/2, 2) 1/6 and 3) 1/3.

(a) Given a bag of different shapes.

Total number of shapes = 6

So, if we select one shape from random,

total number of ways that the event can occur = 6

(b) Number of squares in the bag = 3

Probability of choosing a square = 3/6 = 1/2

Number of circles in the bag = 1

Probability of choosing a circle = 1/6

Number of stars in the bag = 2

Probability of choosing a star = 2/6 = 1/3

Hence the required probabilities are found.

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Answer:

Using the standard form of an equation we can easily find the intercepts.

To find the x-intercept, we set y=0 and solve for x.

To find the y-intercept, we set x=0 and solve for y.

Step-by-step explanation:

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Answer:

Answer:

35 x^4  - 5x^3

Step-by-step explanation:

5x^3 (7x−1)

Distribute

5x^3 (7x) +5x^3 *(−1)

35 x^3 *x - 5x^3

35 x^4  - 5x^3

Step-by-step explanation:

1)13/4: Rational (a fraction)

2)√17: Irrational (square root of a non-perfect square)

3)3π: Irrational (product of a rational number and an irrational number)

4)0.1 (1 bar): Rational (repeating decimal)

5)-√2: Irrational (negative square root of a non-perfect square)

6)√24: Irrational (square root of a non-perfect square)

7) -√49: Rational (negative square root of a perfect square)

1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.

2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.

3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.

4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.

5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.

6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.

7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.

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The complete question is :

Select whether the following numbers are rational or irrational.

1. 13/4

2. \sqrt{17}

3. 3 π

4. 0.1 (1 bar)

5. - \sqrt{2}

6. \sqrt{24}

7. - \sqrt{49

Answer:

81

Step-by-step explanation:

((3/7)*581)-(0.35x480)

The expression that fails to compute the area of a triangle correctly is option b: (1 / 2) * b * h.

The correct formula to compute the area of a triangle is one-half times the base multiplied by the height, which can be written as (1/2) * b * h. Option a, c, and d correctly represent this formula. However, option b is incorrect because it uses integer division instead of decimal division.

In option b, (1 / 2) is computed using integer division, which results in truncating the decimal part. Therefore, (1 / 2) evaluates to 0 instead of 0.5. As a result, the expression (1 / 2) * b * h would yield incorrect and significantly smaller results than the actual area of the triangle.

To accurately calculate the area of a triangle using this formula, it is essential to use decimal division or explicitly represent the fraction as a decimal. Options a, c, and d correctly account for this by using either 1.0/2.0 or 0.5, ensuring the proper calculation of the area.

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The value of x is 128 degrees, given that two lines intersect at 140 degrees and (x+12) degrees and one of the angles formed by the intersection is (x+12) degrees.

If two lines intersect, the angle formed at the point of intersection is 180 degrees. We are given that the intersection of the two lines creates an angle of 140 degrees. Let's call the other angle formed by the two lines "y". Then we have:

140 degrees + y = 180 degrees

y = 180 degrees - 140 degrees

y = 40 degrees

Now, we are also given that one of the angles formed by the two lines is (x+12) degrees. We can set up an equation using this information:

x + 12 + y = 180 degrees

x + 12 + 40 degrees = 180 degrees

x + 52 degrees = 180 degrees

x = 180 degrees - 52 degrees

x = 128 degrees

Therefore, the value of x is 128 degrees.

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Answer:

44.0925 pounds

Step-by-step explanation: