Why can 1/3 be written as a recurring decimal? (Simple terms pls)

Answer:

20/40

Step-by-step explanation:

20/40 cuz 1/2 multiplied by 20\20 is 20/40

Answer:

up 8

Step-by-step explanation:

hope this helped you

Answer:

Not Rounded- 158.766

Rounded- 159

Step-by-step explanation:

Delta Math

The value of r is calculated as (m/-6) + 3 for the line with undefined slope passing through (3,2) and (r,-4).

We must determine the value of r that gives the line passing through (3,2) and (r,-4) an undefined slope.

Let,

x₁ = 3

y₁ = 2

x₂ =r

y₂ = -4

slope = m

Using the slope equation we get,

m = (y₂ - y₁)/(x₂ - x₁ )

m = (-4-2)/(r-3)

m/-6 = r - 3

r = (m/-6) + 3

Therefore, the value of r is calculated as (m/-6) + 3 for the line passing through (3,2) and (r,-4) with undefined slope.

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Answer:

See Explanation

Step-by-step explanation:

Given

\(Sides:\ 9cm\ and\ 8cm\)

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.

\(a + b > c\)

\(a + c > b\)

\(b + c > a\)

Let a and b represent the two sides such that:

\(a = 9\)

\(b = 8\)

The inequalities become:

\(9 + 8 > c\)

\(9 + c > 8\)

\(8 + c > 9\)

Solve for c in each:

\(9 + 8 > c\)

\(17 > c\)

\(c < 17\)

\(9 + c > 8\)

\(c > 8 - 9\)

\(c > - 1\)

\(8 + c > 9\)

\(c >9 - 8\)

\(c >1\)

The value of c must be positive, so, we consider;

\(c >1\) and \(c < 17\)

Rewrite:

\(1 < c\) and \(c < 17\)

Combine both

\(1 < c < 17\)

Hence, the value of c is:

\(c = (1,17)\)

Answer:

Step-by-step explanation:

V = L×W×H

= 40cm×20cm×10cm

= 8000 cm3

Answer: K

Step-by-step explanation:

I. Correct. When t=0, h=c, so if you alter the value of c, the h-intercept changes.

II. Correct, the maximum value of \(-at^2 +bt\) will stay the same, but you are changing c, which is the amount you are always adding to it, meaning the maximum will change.

III. Correct. If you plug into the quadratic formula setting h=0, it is easy to see changing the value of c will change the solutions.

The correct statement regarding the quadratic function is:

K. I, II and III.

A quadratic function is given according to the following rule:

\(y = ax^2 + bx + c\)

If a > 0, it has a maximum value, and if a < 0, it has a minimum value.

The extreme value is \((x_v,y_v)\), in which:

The solutions are:

In this problem, we have a function h(t). Changing the coefficient c, the h-intercept h(0) changes. Looking at the formulas in the bullet point, the value of \(\Delta\) changes, meaning that both the maximum value \(y_v\) and the t-intercepts \(t_1\) and \(t_2\) will change, so option K is correct.

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Answer:

B) 2/3=x/4

Step-by-step explanation:

Since the figures are similar, we can use ratios to solve

2             x

----- = -----------

3          4

Answer:

a)x=(3*4)/2 x=12/2 x=6

Answer:

K' (-2, -2)

L' (3, -2)

G' (4,0)

H' (3,2)

J' (-2, 2)

Step-by-step explanation:

list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.

K(-2, -2)

L(-2, 3)

G(0,4)

H(2,3)

J(2, -2)

Answer:

The expression (8-i)/(2+i) in standard form is, 3 - 2i

Step-by-step explanation:

The expression is,

(8-i)/(2+i)

writing in standard form,

\((8-i)/(2+i)\\\)

Multiplying and dividing by 2+i,

\(((8-i)/(2+i))(2-i)/(2-i)\\(8-i)(2-i)/((2+i)(2-i))\\(16-8i-2i-1)/(4-2i+2i+1)\\(15-10i)/5\\5(3-2i)/5\\=3-2i\)

Hence we get, in standard form, 3 - 2i

The expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

To write the expression (8-i)/(2+i) in standard form a+bi, we need to eliminate the imaginary denominator. We can do this by multiplying the numerator and denominator by the conjugate of the denominator.

The conjugate of 2+i is 2-i. So, we multiply the numerator and denominator by 2-i:

(8-i)/(2+i) * (2-i)/(2-i)

Using the distributive property, we can expand the numerator and denominator:

(8(2) + 8(-i) - i(2) - i(-i)) / (2(2) + 2(i) + i(2) + i(i))

Simplifying further:

(16 - 8i - 2i + i^2) / (4 + 2i + 2i + i^2)

Since i^2 is equal to -1, we can substitute -1 for i^2:

(16 - 8i - 2i + (-1)) / (4 + 2i + 2i + (-1))

Combining like terms:

(15 - 10i) / (3 + 4i)

Therefore, the expression (8-i)/(2+i) in standard form a+bi is (15 - 10i) / (3 + 4i).

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Answer:

7x

Step-by-step explanation:

Answer:

Since your diameter is 8,

half of that is 4.

We are going to find the area now of both the bottom and the top.

4^4 = 16

16 x 3.14 = 50.24

Now we multiply by two since there are two circles  (bottom and top) we only got one circle's area.

50.24 x 2 = 100.48

Now we need to find the round curved area.

In order to do that we need to find the circumference them multiply by the height:

2 x 3.14 x 4 = 25.12(circumference)

25.12 x 19Height) = 477.28

Now we need to add both the areas(surface area):

477.28 + 100.48 = 577.76 yard2 is your answer.

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

\(y = mx + b\)

In which:

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

\(m = \frac{26 - 65}{90 - 10} = -0.4875\)

Then:

\(y = -0.4875x + b\)

Point (10,65) means that when \(x = 10, y = 65\), and this is used to find b.

\(y = -0.4875x + b\)

\(65 = -0.4875(10) + b\)

\(b = 69.875\)

Hence:

\(y = -0.4875x + 69.875\)

For a student who got 65 in math, x = 65, and hence:

\(y = -0.4875(65) + 69.875 = 38.1875\)

The estimated French score is of 38.1875.

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Answer:

$1860

Step-by-step explanation:

12% of 1500 = 180

180 x 2 = 360

1500 + 360=1860

Answer

1680

Step-by-step explanation:

180 as simple interest         1680 as total amount to pay back

Answer:

She is now 5.5 meters below sea level.

Step-by-step explanation:

4.5 + 1 = 5.5

Answer: 1st 173 2nd 396

Step-by-step explanation: I hope this helps!

If both the upstairs and downstairs switches are in the up position, the light will be off

The given parameters are

Switches = 2 i.e. top and bottom

Also, we have:

When the upstairs switch is up and the downstairs switch is down, the light is turned on.

This means that the light is only on when the upstairs switch is up and the downstairs switch is down

Any other position of the switches, the light is off

From the question, we have

Both the upstairs and downstairs switches are in the up position

This is different from the required position to on the light

Hence, the light will be off

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Answer:

q is independent var, r is dependent

Step-by-step explanation:

The three ways that the expression can be written as a ratio is 96 : 38, 38 : 96 and 48 : 19.

96 : 38 is the same as 38 ; 96 because the ratios mean the same thing.

The ratio of sci-fi movies to comedy movies is 38 : 46.

The ratio in the simplest form is 19 : 23.

Ratio expresses the relationship between two numbers. It shows the number of times that one value is contained within other value. The sign used to represent ratio is :.

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The lake activity with a central angle of 46.8° is waterskiing, since it is the lake activity chosen by 13% of the campers.

what is central angle ?

A central angle is an angle formed by two radii of a circle that intersect at its center. The central angle is measured in degrees and is used in circle graphs or pie charts to represent the proportion or percentage of each category in the data.

In the given question,

To find out which lake activity has a central angle of 46.8°, we first need to calculate the total number of campers who participated in the survey:

Total number of campers = 15 + 11 + 7 + 13 + 54 = 100

Next, we need to find the percentage of campers who chose each lake activity:

Percentage of campers who chose kayaking = (15/100) x 100% = 15%

Percentage of campers who chose wakeboarding = (11/100) x 100% = 11%

Percentage of campers who chose windsurfing = (7/100) x 100% = 7%

Percentage of campers who chose waterskiing = (13/100) x 100% = 13%

Percentage of campers who chose paddleboarding = (54/100) x 100% = 54%

Now we can use the formula for calculating the central angle of a circle graph:

Central angle = (Percentage/100) x 360°

For the lake activity with a central angle of 46.8°, we can set up the following equation:

(Percentage/100) x 360° = 46.8°

Solving for Percentage, we get:

Percentage = (46.8°/360°) x 100% = 13%

Therefore, the lake activity with a central angle of 46.8° is waterskiing, since it is the lake activity chosen by 13% of the campers.

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The scale factor of the drawing of the neighborhood park would be = 2000.

The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).

The width of the neighborhood park. in real life = 8 meters

To convert 8 meters to millimetres is to multiply by 1000

= 8 × 1000 = 8000 mm

The scale factor = 4 × X = 8000

make X the subject of formula;

X = 8000/4

X = 2000.

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Here is the table with the earnings per share (EPS) for each year, rounded to the nearest cent.

Year Net income Preferred dividends Shares outstanding EPS formula EPS

2020 $100,000 $0 100,000 (n) $1.00

2021 $120,000 $0 100,000 (n) $1.20

2022 $140,000 $0 100,000 (n) $1.40

Formula reference: (n) = (Net income - Preferred dividends) / Weighted average-number of common shares outstanding

Here are the steps on how to calculate the EPS:

The EPS formula is a simple way to measure a company's profitability. It is calculated by dividing the net income after preferred dividends by the weighted average number of common shares outstanding. The higher the EPS, the more profitable the company is.

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Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

An inferential statistic is one that makes inference or predictions about a population based on a sample.

From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:

D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.

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The closest answer from the given responses would be 0, indicating a very low probability that the total weight of three randomly selected grapefruits is more than 3.4 pounds.

To find the probability, we can calculate the z-score for the value 3.4 using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Plugging in the values, we have z = (3.4 - 1) / 0.12 = 28.33.

Next, we need to find the probability associated with this z-score. Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of 28.33. However, since the z-score is very large, it is likely to approach the tail of the distribution and the probability will be extremely close to 0.

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The orthogonal projection of vector onto the plane \(-2x+x^{2} -x^{3}\) = 0 cannot be determined since exact vector is not known.

To find the orthogonal projection of a vector onto a plane, we can use the formula:

proj_v(P) = P - proj_n(P),

where P is the vector we want to project, proj_v(P) is the projection of P onto the plane, and proj_n(P) is the projection of P onto the plane's normal vector.

In this case, the equation of the plane is\(-2x+x^{2} -x^{3}\) = 0. To find the normal vector, we extract the coefficients of x, x², and x³, which gives us the normal vector n = (-2, 1, -1).

Now, given the vector P, we can find its projection onto the plane by subtracting the projection onto the normal vector:

proj_v(P) = P - proj_n(P).

The projection of P onto the normal vector is given by:

proj_n(P) = (P⋅n) * n / ||n||²,

where P⋅n represents the dot product of P and n, and ||n||² is the squared magnitude of n.

Using these formulas, we can find the orthogonal projection of P onto the plane \(-2x+x^{2} -x^{3}\) = 0.

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The complete question is:

The equation is already in standard form since standard form is

ax^2+bx+c = 0

Here we have

a = -3

b = 4

c = -2

Answer:

the 2nd one

Step-by-step explanation:

With a random sample of 20 ladybugs, the probability of seeing an average American ladybug length between 0.95 cm and 1.05 cm is approximately 0.9978.

Since the sample size is 20: we need to use a t-distribution instead of a normal distribution. We are not given the population standard deviation so we need to use the sample standard deviation as an estimate.

Assuming that the sample is representative of the population, we can assume that the population distribution is approximately normal due to the central limit theorem.

To begin, we must compute the sample mean and standard deviation:

Next we need to calculate the standard error of the mean (SEM):

Next we need to standardize the range of values using the formula: t = (x - μ) / SEM, where x is the sample mean, μ is the population mean (which is also equal to x in this case) & SEM is the standard error of the mean.

Using a t-distribution table or calculator with 19 degrees of freedom (n-1), the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm is approximately 0.9978.

This question should be provided as:

1. American ladybugs have an average adult length of 1 cm with a known standard deviation of 0.2 cm. The population of American ladybugs in Raleigh was around 644000 last spring. Assume a normal distribution for the lengths of adult American ladybugs. Your niece asks you what's the probability of a random ladybug in Raleigh being bigger than 1.5 cm. Is it appropriate to calculate this probability?

Select one:

2. Regardless of your answer to the previous question, calculate this probability using a normal distribution. Report your answer to four decimal places.

3. Calculate the probability of observing an average American ladybug length between 0.95 cm and 1.05 cm for a random sample of 20 ladybugs. Give your answer accurate to four decimal places. If you found assumptions to be violated in the previous question, answer this question as if the assumptions had not been violated.

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The probability the next customer pays using a debit card based on the last three weeks is 30% or 0.3.

This is the chance or likelood for an event to occur. For example, if in a city it has snowed every year on December 25th, there is a high probability it will snow this year and in the next years.

Total of a specific outcome/ total of outcomes

Based on this, let's calculate the probability the next customer pays using the debit card:

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