Error analysis a studinet write the word phrase the quotient of n and 5" to describe the expression 5/n describe and correct the students error

Answer:

m = [tex]\frac{4}{3}[/tex]g, k= 9[tex]\frac{1}{3}[/tex] months

Step-by-step explanation:

Final answer:

The possible values of k in the factorable quadratic expression x^2 + kx + 18 can be determined by finding the factors of 18 that can be multiplied to obtain the constant term.

Explanation:

If the quadratic expression x^2 + kx + 18 is factorable, the possible values of k can be determined by finding the factors of 18 that can be multiplied to obtain the constant term.

The factors of 18 are:

1 and 18

2 and 9

3 and 6

Therefore, the possible values of k are -19, -10, -3, 3, 10, and 19.

A runner must run for 50 minutes to cover the distance of 10 kilometers.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
A runner wants to run 10.0 km. she knows that her running pace is 7.5 miles per hour.

7.5 miles = 12 kilometers
Speed = 12 kilometers/hours
1 hour = 60 minutes

Speed = 12 / 60 kilometers per minute
Speed = 0.2 kilometers per minute

Time = distance/speed
Time = 10 / 0.2
Time = 50 minutes

Thus, A runner must run for 50 minutes to cover the distance of 10 kilometers.

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Final answer:

To calculate the requested expression, multiply 15 by 7 to get 105, and then add 8 to this product to find the sum, which is 113.

Explanation:

The question asks to calculate the result of the mathematical expression where a product is first found by multiplying 15 and 7 and then that product is added to 8. To solve this, you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).

First, calculate the product of 15 and 7 to get 105.

Next, add this product to 8 to find the final result.

So, 105 + 8 equals 113.

The correct answer to the question is 113, which is the sum of the product of 15 and 7, with 8 added.

Answer: The answer is (c) One plane can be drawn so that it contains all three points.

Step-by-step explanation:  We are given three points R, S and T in a coordinate plane. Considering all these three points to be distinct and non-collinear, we can draw the following conclusions.

(i) Since each pairs of points. i.e., (R,S), (S,T) and (T,R) give rise to a straight line when joined, so option (a) is incorrect.

(ii) Through any two given points, we can always draw a line. If we consider a third point and since we are dealing with non-collinear points, so one line cannot be drawn through three points.

(iii)We can always draw a line by joining two points and when we join the two ends of the line to a third point which does not lie on the line, it will give rise to a plane. So, option (c) is correct.

(iv) We cannot draw two different planes through three given points. If we do so, the new plane will coincide with the previous one. This proves that option (d) is not correct.

Please see the attached figure, where P, Q and R are three non-collinear points. They give rise to a plane.

Thus, the correct option is (c).

The lower bound estimate and upper bound estimate are found by rounding 764 to 700 and 241 to 200, then subtracting to get 500. However, the mistake in the options seems that both the lower and upper bound estimates are 500. Based on the given options, the right answer should be option C with lower bound 500 and upper bound 600, albeit the upper bound estimate is not correctly represented.

The lower bound and upper bound estimate of a calculation are found by rounding each number involved to the greatest place value then performing the calculation. In the case of the subtraction 764 - 241, the lower bound estimate will be calculated by underestimating both figures, and the upper bound will be calculated by overestimating.

Therefore, both the lower bound estimate and the upper bound estimate are 500 and the correct option is C. lower bound 500 upper bound 600

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The correct explanation for each expression are;

1. 2x + x + 4 = -17                 Given

2. 3x + 4 = - 17                    Combine like term.

3. 3x = - 21                           Subtraction.

4. x = -7                                Division.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 2x + x + 4 = -17

Now, Solve the expression for x by using suitable property as;

⇒ 2x + x + 4 = -17

Combine like term;

⇒ 3x + 4 = - 17

Subtract 4 both side;

⇒ 3x + 4 - 4 = -17 - 4

⇒ 3x = - 21

Divide by 3;

⇒ x = - 7

Thus, The correct explanation for each expression are;

1. 2x + x + 4 = -17                 Given

2. 3x + 4 = - 17                    Combine like term.

3. 3x = - 21                           Subtraction.

4. x = -7                                Division.

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The annual growth rate is 41.4% and the monthly growth rate is 3.45%. The continuous growth rate per year is 2.77%.

To determine the annual growth rate, we need to find the growth factor by taking the square root of the doubling factor. Since the population is predicted to double every 25 years, the annual growth rate would be the square root of 2, which is approximately 1.414. To express it as a percentage, we can subtract 1 from the growth factor and multiply by 100, resulting in an annual growth rate of 41.4%.

The monthly growth rate can be calculated by dividing the annual growth rate by 12. In this case, the monthly growth rate would be approximately 3.45%.

To determine the continuous growth rate per year, we use the formula: r = ln(2)/t, where r is the continuous growth rate and t is the doubling time in years. In this case, the continuous growth rate would be ln(2)/25, which is approximately 0.0277. Multiplying this by 100, we get a continuous growth rate per year of 2.77%.

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Answer:

The quadratic formula is derived from a quadratic equation in standard form when solving for x by completing the square. The steps involve creating a perfect square trinomial, isolating the trinomial, and taking the square root of both sides. The variable is then isolated to give the solutions to the equation.

Step-by-step explanation:

Christian can calculate his total earnings over 2 weeks by simplifying the expression x + 10 + x + 10 to 2(x + 10). This method combines his earnings from fixing bicycles and his allowance for each week. Therefore, the correct answer is D. 2(x + 10).

To calculate how much Christian will earn in total over 2 weeks, you can simplify the expression x + 10 + x + 10:

Rewriting this, you get 2(x + 10). Therefore, the correct answer is D. 2(x + 10).

Answer:

Transformation of ΔABC rotation of 180° about the origin .

Step-by-step explanation:

Given : Coordinates of Δ ABC ,=A ( 3,5) , B( 6,1) , C( 0,1) .

Coordinates of Δ A'B'C' = A' ( -3,-5) , B'(- 6,-1) , C'( 0,-1) .

To find :

      Describe the transformation of ΔABC.

Formula used : 180° rotation (clock wise and counter clock wise)

                                   ( x , y ) -------> ( -x , -y ).

Solution :

                   A ( 3,5)-------> A' ( -3,-5).

                   B( 6,1)---------> B'(- 6,-1).

                  C( 0,1).---------> C'( 0,-1) .

Therefore, the transformation of ΔABC rotation of 180° about the origin .

there are 6 sides to a cube

2 are 4*6 = 24*2 =48

2 are 4*2 = 8*2 = 16

2 are 6*2 = 12*2 =24

48 +16 +24 = 88 square inches total

The snowfall during the snowstorm in the White Mountains was 61.5 cm, which is equivalent to 0.615 meters when converted.

To convert the snowfall from centimeters to meters, we need to understand that 1 meter is equivalent to 100 centimeters. With this, to find the snowfall in meters, you simply divide the snowfall in centimeters by 100. So, the snowfall of 61.5 centimeters would be 0.615 meters.

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The length of Mr. Webster's exercise room is 18.4 feet, calculated by dividing the area (230 sq ft) by the width (12.5 ft).

To find the length of the room, we can use the formula for the area of a rectangle:

[tex]\[ \text{Area} = \text{Length} \times \text{Width} \][/tex]

Given that the area is 230 square feet and the width is 12 1/2 feet, we can plug these values into the formula:

[tex]\[ 230 = \text{Length} \times 12 \frac{1}{2} \][/tex]

To solve for the length, divide both sides by 12.5:

[tex]\[ \text{Length} = \frac{230}{12 \frac{1}{2}} \]\[ \text{Length} = \frac{230}{\frac{25}{2}} \]\[ \text{Length} = 230 \times \frac{2}{25} \]\[ \text{Length} = 18.4 \][/tex]

So, the length of the room is [tex]\( \boxed{18.4} \)[/tex] feet.

Answer:

Option D.

Step-by-step explanation:

Y-intercept form of the equation of a line is given by y = mx + c

Where m = slope of the line

c = y-intercept

Given equation of a line is x + 4y = 15

We will transform this equation into the y intercept form first.

x + 4y = 15

4y = 15 - x

y = [tex]-\frac{x}{4}+\frac{15}{4}[/tex]

Therefore, y - intercept of this equation will be c = [tex]\frac{15}{4}[/tex]

Option D will be the answer.

y ≤ 0

Remember that the range is all the possible y-values that the relation can take. We can see in the picture that the repletion is always bellow of the positive y-axis, so the relation can take only negative y-values or zero. In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.

Answer:

y ≤ 0 is the correct answer

Step-by-step explanation:

you gots to see it through mah boi

Click the third graph (check the picture attached)

Remember that [tex]speed=\frac{distance}{time}[/tex], so the line in the first part of the graph means that the man is driving his car at certain speed (different form zero) from home to the store. The horizontal graph in the middle of the graph means that he man is sopping at the store; therefore his driving speed is 0. The third part of the graph means that the man is driving again from the store to home.

Check the picture bellow to visualize it more easily.

180 = 93 +3x +18

180 =111 +3x

3x = 180-111

3x = 69

x = 69/3

x = 23