How do you write 14 programming errors for every 56 programmers as a rational number? Select the simplified rational number that represents this scenario.(1 point)

14
56
14/56
1/4

Given:

Required:

We need to find the region A,B and C.

Explanation:

We know that A,B and C is

Final answer:

The cross-price elasticity of demand between good X and good Y will be 0.5. Thus, the correct option is A.

Given that5:

Old Quantity = 1,100

New Quantity = 900

The percentage change of good Y is calculated as,

P = ((900 - 1,100) / 1,100) * 100

P = (-200 / 1,100) * 100

P = -18.18%

Next, let's calculate the percentage change in the price of good X:

Old Price = GH¢6

New Price = GH¢4

The percentage change in the price of good X is calculated as,

P = ((4 - 6) / 6) * 100

P = (-2 / 6) * 100

P = -33.33%

The cross-price elasticity of demand is calculated as,

⇒ (-18.18% / -33.33%)

⇒ 0.546 or 0.5

Thus, the correct option is A.

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Answer:

19 meters

Step-by-step explanation:

1. 35×2= 70

2. 108-70=38

3. 38÷2=19

I hope that helped☺

Answer:

A polynomial function f of least degree  = f = x³ - 7x² + 36

The function in standard form = f = x³ - 7x² + 36

Step-by-step explanation:

As given, Leading coefficient of polynomial function = 1

Also given, zeroes of the function = -2, 3, 6

for root -2 : (x - (-2)) = (x + 2)

for root 3 : ( x - 3)

for root 6 : (x - 6)

Therefore, the polynomial function becomes -

f = 1(x+2)(x-3)(x-6)

⇒f = (x+2)(x² - 6x - 3x + 18)

⇒f = (x+2)(x² - 9x + 18)

⇒f = x³ - 9x² + 18x + 2x² - 18x + 36

⇒f = x³ - 7x² + 36

The polynomial function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)

The zeros of the polynomial are given as:

\(Zeroes = -2,3,6\)

Rewrite as:

\(x= -2,3,6\)

Express the zeroes as an equation

\(x= -2\),  \(x =3\) and \(x =6\)

Equate to 0

\(x + 2 = 0\), \(x -3 = 0\) and \(x -6 = 0\)

Multiply the equations

\((x + 1) \times (x - 3) \times (x - 6) = 0 \times 0 \times 0\)

\((x + 1) \times (x - 3) \times (x - 6) = 0\)

Expand

\((x^2 - 3x + x - 3) \times (x - 6) = 0\)

\((x^2 - 2x - 3) \times (x - 6) = 0\)

Expand

\(x^3 - 2x^2 - 3x -6x^2 +12x +18 = 0\)

Collect like terms

\(x^3 - 2x^2 -6x^2 - 3x +12x +18 = 0\)

\(x^3 - 8x^2 +9x +18 = 0\)

Express as a function

\(f(x) = x^3 - 8x^2 +9x +18\)

Hence, the function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)

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Answer:

= 1.156 × 10^9

(scientific notation)

= 1.156e9

(scientific e notation)

= 1.156 × 10^9

(engineering notation)

(billion; prefix giga- (G))

= 1156000000

Step-by-step explanation:

Simply subtract A from B = 1,156,000,000 and convert the answer to scientific notation.

Answer:

D. 1.156 times 10^9

First we subtract the difference,

1,300,000,000 - 144,000,000 = 1156000000

Next, we find the number 1156000000 written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 115,600,000

New Number: 1.15600000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 1 5 6 0 0 0 0 0

Decimal Count:   1 2 3 4 5 6 7 8

There are 8 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.156 (Please notice any zeroes on the end have been removed)

b = 8

Now the whole thing:

1.156 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.156 = 115,600,000

Thus, 115,600,000 written in scientific notation is 1.156 times 10^9 estimated.

Answer:

Depth = 3.3 inches

Step-by-step explanation:

 Given that the shape of the satellite looks like a parabola

The equation of parabola is given as follows

\(x^2=4\times a\times y\)

Where

a= 13

Therefore

\(x^2=4\times 13\times y\)

\(x^2=52\times y\)

Lets take (13 , y) is a

Now by putting the values in the above equation we get

\(13^2=52\times y\)

\(y=\dfrac{13^2}{52}=3.25\)

y=3.25 in

Therefore the depth of the satellite at the nearest integer will be 3.3 inches.

Depth = 3.3 inches

Answer:

y=mx+c

0=m(4)+c

c=4m

positive slope

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

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Answer:

Step-by-step explanation:

4(4) = -7(-3) - 5

16 = 21 - 5

16 = 16

answer is D

Answer: (-3.4)

Step-by-step explanation: took test 6.02

Foundations wrap up Systems of Equations

The coordinates of S'T' are (-y,x)

Here, we want to get the result of rotating a point 90 degrees counterclockwisely

What we have here is that we will have a change in the coordinates of the point as follows;

\(0.1875\)

\(rounds \: off \: to \: \: 0.19\)

Step-by-step explanation:

\( \frac{3}{16} = \frac{30}{16 \times 10} = \boxed{.1875} \)

Answer:

.1875

Step-by-step explanation:

Answer: 39 25/50

Step-by-step explanation:

0.78 ( 78% ) = 39/50

0.79 ( 79% ) = 39/50 + 1/2

25 is half of 50

39 25/50

79/100 is the fraction of 79%.

percentage, a relative value indicating hundredth parts of any quantity.

A fraction represents a part of a whole.

We need to write  79% as a fraction or mixed number in simplest form.

79% we will convert to decimal number by dividing with 100.

As we know percentage is a hundredth part.

79% is the hundredth part of 79

79/100=0.79

Hence 79/100 is the fraction of 79%.

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Answer:

Probability that student will be a girl = 17 / 28

Step-by-step explanation:

Given:

Total number of student = 28 student

Number of boys in the class = 11

Find:

Probability that student will be a girl = ?

Computation:

⇒ Number of girls in class = Total number of student - Number of boys in the class

⇒ Number of girls in class = 28 - 11

⇒ Number of girls in class = 17

⇒ Probability that student will be a girl = Number of girls in class / Total number of student

⇒ Probability that student will be a girl = 17 / 28

Answer:

y - 3 = -2 * (x+2)

Step-by-step explanation:

a) The original claim expressed in symbolic form is; p > 0.032

b) The hypotheses are defined as;

Null hypothesis; H₀: p ≤ 0.032

Alternative hypothesis; Hₐ: p > 0.032

A hypothesis is defined as an educated guess while using reasonable thinking, about the answer to a scientific question.

a) We are told that the claim is that more than 3.2% (0.032) of homes have only a landline telephone and no wireless phone. Thus, the original claim in symbolic form is; p > 0.032

b) From the sample survey that we see, it is clear that among 15800 homes, 5.81% had landline phones without wireless phones. This would be the sample proportion.

This means that we can define the alternative hypothesis as;

Hₐ: p > 0.032

Null hypothesis is;

H₀: p ≤ 0.032

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Answer:

Balin could bench press 256 pounds.

Step-by-step explanation:

Jasper was able to bench press 224 pounds, which is 7/8 of x, which is the weight that Balin was able to bench press. So, mathematically:

\(\frac{7}{8}x = 224\)

\(7x = 224*8\)

\(x = \frac{224*8}{7} = 256\)

Balin could bench press 256 pounds.

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

(30*48)/100 = 14.40

48 - 14.40 = $ 33.60

48 + 33.60 = $ 81.60

Answer:

A. True

Step-by-step explanation:

Since it is lesser, it will also bring in lesser profit :)

Based on the angle relationships formed by the parallel lines, the statements that are true are:

B. m∠3 = 100°

C. m∠2 + m∠4 = 80°

Some of the angle relationship that applies when two parallel lines are crossed by a transversal are:

Given the image attached below, where m and n are parallel lines, we can deduce the following measures of the numbered angles based on the angle relationships:

Measure of angle 1 = 60° [vertical angles]

Measure of angle 2 = 20° [corresponding angles]

Using the triangle sum theorem, we also have:

Measure of angle 3 = 180 - m∠CAB - m∠1

Measure of angle 3 = 180 - 20 - 60 = 100°

m∠4 = 60° [corresponding angles]

m∠2 + m∠4 = 20 + 60 = 80°

From the above, we can conclude that the statements are:

B. m∠3 = 100°

C. m∠2 + m∠4 = 80°

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Parallel lines are those straight lines that are always the same distance apart from each other.

B m∠3 = 100°

C. m∠2 + m∠4 = 80° are true

Parallel lines are those straight lines that are always the same distance apart from each other. · Parallel lines never meet no matter how much they are extended.

Given that, n||m

Point B is lies on line m.

Point A and C are lies on line n.

There are two lines started from point B and one line passes through point A and one line passes through point B forms a triangle ABC.

∠ACB=1

∠ABC=2

There is an angle with line m and line AB is denoted by 2.

Using the triangle sum theorem, we also have:

Measure of angle 3 = 180 - m∠CAB - m∠1

Measure of angle 3 = 180 - 20 - 60 = 100°

m∠4 = 60° [corresponding angles]

m∠2 + m∠4 = 20 + 60 = 80°

Hence From the above, we can conclude that the statements are:

B. m∠3 = 100°

C. m∠2 + m∠4 = 80°

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Answer:

equilateral

Step-by-step explanation:

all the sides are equal

Answer:

28

Step-by-step explanation:

28/1 = 28

9514 1404 393

Answer:

  62.5 oz of 100%

Step-by-step explanation:

Let p represent the number of ounces of pure syrup. Then (100-p) is the number of ounces of 60% syrup. The amount of maple syrup in the desired mix is ...

  p +0.60(100 -p) = 0.85(100)

  0.40p +60 = 85 . . . . . . . . . . . simplify

  0.40p = 25 . . . . . . . . . . subtract 60

  p = 62.5 . . . . . . . . . divide by 0.4

62.5 ounces of pure syrup should be mixed with the diluted syrup to make 100 ounces of 85% maple syrup.

_____

The other 37.5 ounces will be 60% syrup.

Answer:

Step-by-step explanation: 5.) Circular shape.

     6.) Feet.

     7.) Circle.

     8.) The circumference is 9 and the radius is 18.

     9.)  By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.

Answer:

i think it is 2nd answer

Step-by-step explanation:

Answer:

\(x=6\)

Step-by-step explanation:

Convert mixed numbers to improper fractions: \(5\frac{1}{2} =\frac{11}{2}\)

[Formula to convert mixed to improper: \(a\frac{b}{c} =\frac{a * c+b}{c}\)]

--

\(\frac{11}{2} x+\frac{2}{3} x=37\\\\\)

--

Find least common multiplier of 2, 3: 6

[Multiply by LCM = 6]

--

Simplify: \(37x=222\)

Divide both sides by 37

--

Which is then simplified to 6

Answer:

A. Altitude

Step-by-step explanation:

An altitude is a perpendicular line in a triangle that goes from a vertex to the base of the triangle.

Answer:

y = 5x - 4

Step-by-step explanation:

1. Parallel have the same slope (equation)

- Standard form of an equation of a line: y=mx + b

m = slope

x = x-coordinate

b = y-intercept

y = y-coordinate

SLOPE = \(\frac{y_{2} -y_{1} }{x_{2}-x_{1}}\)

Given that x-2y = 5

and the line has the point:

(-3,-1)

We need to find another point to find the slope

x - 2y = 5

Let's say x = 7 and y = 1

(7, 1)

Now plug it into the slope equation

\(\frac{-3-7}{-1-1} = \frac{-10}{-2} = 5\)

Plug the slope into the standard form of an equation of a line

y = 5x + b

Plug in (7,1)

1 = 5 + b

b = -4

The answer is: y = 5x - 4

Hope this helps :)

Have a great day!

Answer:

y = 2x+1

Step-by-step explanation:

\(2y =4x+8\\\\ Write \:in \: y =mx+b \:form\\\\\frac{2y}{2} = \frac{4x}{2} +\frac{8}{2} \\\\y =2x +4\\m =2\\(1,3) =(x_1,y_1)\\Substitute\:values\:into\:point-slope\:form\\\\y-y_1=m(x-x_1)\\y-3=2(x-1)\\y-3 = 2x-2\\y=2x-2+3\\y =2x+1\)

Step-by-step explanation:

Hey, there!!

Here, the given point is (1,3).

Now, Using one point formula we need to find the equation of the line passing through point (1,3).

Now,

\((y - y1) = m1(x - x1)\)

Keeping values,

\((y - 3) = m1(x - 1)\)

It is the 1st equation.

Similary, you have another equation,

2y = 4x + 8..............2nd equation.

or, 4x - 2y +8 =0

M2 from equation 2,

\( = \frac{ - coeff. \: of \: x}{coeff. \: of \: y} \)

\( = \frac{ - 4}{ - 2} \)

Therefore, m2 = 2

Now,

As per the condition of parallel lines,

m1 = m2 = 2

Now, substituting the value of m1 in equation 1st.

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

y-3 = 2x - 2

or, 2x-y+1 = 0 ......is the required equation.

Hope it helps...

Answer:

x=8.62 (cos(52)*14 )

y=38deg (52+90=142 , 180-142=38)

z=11.03 (sin(52)*14)

Step-by-step explanation:

SOH CAH TOA

sine(sin): opposite/hypotenuse

cosine(cos): adjacent/hypotenuse

tanget(tan): opposite/adjacent

triangle must have 180 degrees so subtract known angles to find the missing one.

I am pretty sure the angle you have written is 52 but if I'm wrong let me know so I can redo it! <3