A snowflake falls 6 feet in 4 seconds. At this rate, how far does a snowflake fall in 1 minute?

Answer:

x=1/3

Step-by-step explanation:

9x+2=3x+4

Minus 2 from both sides: 9x=3x+2

Minus 3x from both sides: 6x=2

Divide by 6: 2/6=1/3

x=1/3

Answer:

x=1/3 or x=0.3

Step-by-step explanation:

If it is a fraction it will be the first one if not I will be the second one

Answer:

19/6

Step-by-step explanation:

3 1/6

6×3=18

18+1=19

=19/6

Answer: 20%

Step-by-step explanation:

1=100%

1/5=

100%/5=20%

Answer: 20 percent

Step-by-step explanation: how you college level and not know this one

Answer:

C Exponential

Step-by-step explanation:

3x^2 -- its using an exponent

Answer:

\(y = 1400 + 5.2x\) --- Running cost

\(y = 25 x\) --- Monthly income

71 cars

R1775

Step-by-step explanation:

Given

Expenses

\(Salaries = 1400.00\)

\(Others = 5.20\) per car

Income

\(Rate = 25.00\) per car

Solving (a): Expression for the running cost

This is calculated as:

\(y = Salary + Others * x\)

Where

y = Total running cost

x = number of cars

So:

\(y = 1400 + 5.20 * x\)

\(y = 1400 + 5.2x\)

Solving (b): Expression for monthly income

This is calculated as:

\(y = Rate * x\)

Where

y = Total income

x = number of cars

So:

\(y = 25.00 * x\)

\(y = 25 x\)

Solving (c): Break even

To do this, we equate the expressions in (a) and (b)

\(y = y\)

\(25x = 1400 + 5.2x\)

Collect Like Terms

\(25x -5.2x= 1400\)

\(19.8x= 1400\)

Solve for x

\(x = \frac{1400}{19.8}\)

\(x = 71\)

Solving (d): How much to break even

Substitute 71 for x in any of (a) or (b)

\(y = 25 x\)

\(y = 25 * 71\)

\(y = 1775\)

Solving (e): There is no question to answer on the "graph"

Answer:

g(-2)= -6, g(0)=0, g(5)=15

Step-by-step explanation:

Plug in each value of x into the function g(x) aka 3(x).

Multiply by three.

The value of g(-2), g(0) and g(5) are -6, 0 and 15 respectivey

Given the expression g(x) = 3x

In order to get the given functions, we will substitute the given variable into the function as shown;

a) For the value g(-2)

Substitute x = -2 into the function

g(-2) = 3(-2)

g()-2 = -6

b) For the value g(0)

Substitute x = 0 into the function

g(0) = 3(0)

g(0) = 0

c) For the value g(5)

Substitute x = 5 into the function

g(5) = 3(5)

g(5) = 15

Hence the value of g(-2), g(0) and g(5) are -6, 0 and 15 respectively

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B, 1 2/5

Step-by-step explanation:

By subtracting that amount from 3, using a common facotor. You would get B.

Answer:

\(\boxed{22n^8-16n^7-140n^4+112n^3-98}\)

Step-by-step explanation:

\((7n^4-14 - 5n^3) (7-8n^3 + 11n^4)\)

According to the distributive property, each term multiplies each of the terms in the other equation. Therefore, we can do the following:

\(\begin{aligned}\Rightarrow &7n^4 (7-8n^3 + 11n^4)= 49n^4-56n^3 n^4+77n^4n^4 \\&=49n^4-56n^7+77n^8 \end{aligned}\)

\(\begin{aligned}\Rightarrow &-14 (7-8n^3 + 11n^4)\\& = -98+112n^3-154n^4 \end{aligned}\)

\(\begin{aligned}\Rightarrow &-5n^4 (7-8n^3 + 11n^4)= -35n^4+40n^3n^4-55n^4n^4 \\&=-35n^4+40n^7-55n^8 \end{aligned}\)

Next, we combine all the terms of the plynomial equation:

\(49n^4-56^7+77n^8-98+112n^3-154n^4-35n^4+40n^7-55n^8\)

common factor:

\(22n^8-16n^7-140n^4+112n^3-98\)

By this, we have solved the exercise.

\(\text{-B$\mathfrak{randon}$VN}\)

Answer:

B

Step-by-step explanation:

Answer:

B is correct!!!  -squareroot of 3

Step-by-step explanation:

Answer:

50 million

Step-by-step explanation:

since they're moving at a constant rate, all you need to do is multiply 5 by 10 million

The mode of the textbooks thicknesses is,

⇒ 1 cm

Since, The most frequent number which is, the number that occurs the highest number of times is called Mode of data set.

Here, We have to given that;

The librarian measured the thickness of the textbooks in the school library.

And, Among a selection of 6 books, he recorded the following thicknesses:

⇒ 4 cm, 1 cm, 1 cm, 1 cm, 5 cm, 2 cm

Hence, By definition of mode we get;

Here, Most often number in data set is, 1 cm

So, The mode of the textbooks thicknesses is,

⇒ 1 cm

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Answer:

30 curtains

Step-by-step explanation:

You have 6 times as many seamstresses so you will get 6 times as many curtains

6 * 5 = 30 curtains

Answer:

first 1 is 5.7 2 is the 4.6 3 is the 3 is the middle and the 4 is the last

Step-by-step explanation:

jus use the internet XD

Answer:

5 repersents multiplycation of the numbers and varuable in the parenthaces

Step-by-step explanation:

I belive you are trying to find x so becuse the unknown varible P and C are in parethaces ( ) they would be added and multiplyed first so now we have 5 wich is outside the parenthaces and becuse theirs no sighns of addition or subtraction its multiplycation because its so close to another number or variable

For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Answer:

y=2x+6

Step-by-step explanation:

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

y = \(\frac{1}{3}\)x - 2

Step-by-step explanation:

[Slope-Intercept Form] y = mx + b

-> m is the slope

-> b is the y-intercept

[Slope] Change in y divided by change in x

\(\frac{0-1}{6-9} =\frac{-1}{-3} =\frac{1}{3}\)

[Y-Intercept] Where the line hits the y-axis

-> Plug in our slope & a point, and solve for b

y = \(\frac{1}{3}\)x + b

1 = \(\frac{1}{3}\)(9) + b

1 = 3 + b

-2 = b

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

y = 1/3x − 2

Formula:

Slope-intercept form:  y = mx + b

Hope this helped. Happy new year! :)

If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The solution to the given inequality is w > -1.6. The graph of the inequality is shown on the number line below.

From the question, we are to plot the given inequality on a number line.

From the given information,

The given inequality is

w - 0.8 > -2.4

To plot the inequality on a number line,

First, we will solve the inequality

Solving the inequality

w - 0.8 > -2.4

Add 0.8 to both sides

w - 0.8 + 0.8 > -2.4 + 0.8

w > -1.6

The plot is shown below

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The correct answer is, by choosing a = -2 and b = 1, we satisfy both inequalities .a < b:

To make both inequalities true, we need to select values for a and b that satisfy the given conditions:

a < b: This inequality means that the value of a should be less than the value of b.

|b| < |a|: This inequality means that the absolute value of b should be less than the absolute value of a.

One possible solution that satisfies both conditions is:

a = -2

b = 1

With these values, we have:

-2 < 1 (a < b)

|-1| < |2| (|b| < |a|)

Therefore, by choosing a = -2 and b = 1, we satisfy both inequalities.a < b:

This inequality states that the value of a should be less than the value of b. In other words, a needs to be positioned to the left of b on the number line. To satisfy this condition, we can choose a to be any number that is less than b. In the example I provided, a = -2 and b = 1, we can see that -2 is indeed less than 1, fulfilling the requirement.

|b| < |a|:

This inequality involves the absolute values of a and b. The absolute value of a number is its distance from zero on the number line, always resulting in a non-negative value. The inequality states that the absolute value of b should be less than the absolute value of a. To satisfy this condition, we can choose b to be any number with a smaller absolute value than a. In the example I provided, |1| is less than |(-2)|, as 1 is closer to zero than -2, fulfilling the requirement.

By selecting a = -2 and b = 1, we satisfy both inequalities: a < b and |b| < |a|. The specific values of -2 and 1 were chosen as an example, but there are multiple other values that would also satisfy the given conditions. The important aspect is that a is indeed less than b, and the absolute value of b is smaller than the absolute value of a.

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Answer:

No se perdon nesesito puntos

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

Angles are undefined terms in plane geometry.

The true statements are:

Question 4

The first statement is represented as:

\(\angle A \cong \angle B\)

Supplement of \(\angle B = 22^o\)

\(\angle A \cong \angle B\) means that A and B are congruent.

The supplementary of A and B would be the same

The measure of A is then calculated as:

\(\angle A + 22 = 180\)

Subtract 22 from both sides

\(\angle A = 180 -22\)

\(\angle A = 158\)

Question 5

If LP and LQ are linear pairs, then:

\(LP + LQ = 90\)

So:

\(\angle Q + LP + LQ = 180\)

Substitute \(LP + LQ = 90\)

\(\angle Q + 90 = 180\)

Subtract 90 from both sides

\(\angle Q =- 90 + 180\)

\(\angle Q =90\)

Question 6

\(\angle S + \angle T = 90\) --- S and T are supplementary

\(\angle T + \angle U = 180\) --- T and U are complementary

Subtract both equations

\(\angle S + \angle T - \angle T - \angle U = 90 - 180\)

\(\angle S - \angle U = -90\)

Make U the subject

\(\angle U = 90 + \angle S\)

This means that:

\(\angle U > 90\)

Hence,  \(\angle U\) is an obtuse angle

Question 7

Obtuse angles are greater than 90 degrees but less than 180.

This means that their supplement must be an acute angle (i.e. less than 90)

Question 8

See attachment

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From the statement of the problem, we know that Carlita:

• has a swimming pool with a length of 26ft and a width of 14ft,

• she will surround the swimming pool with a concrete walkway of width c,

• and she wants to have a wood deck that extends w feet on all sides.

Using the data of the problem, we make the following draw:

So we have a rectangle of:

• length = 26 + 2c + 2w,

• width = 14 + 2c + 2w.

The perimeter of the rectangle is twice the length plus twice the width:

Answer

80 + 8c + 8w

Answer:

-6

Step-by-step explanation:

-2-3/1-1