A piece-wage earner collected the following weights of coffee beans each day over a week:13.3kg,10.8kg,14.4kg and 12,9kg.if she is paid at K5.80 per kilogram, estimate his earning for the week .note do not round off the rate payment​

I'm just gonna so you how I got it

Step-by-step explanation:

6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.

Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:

3*4 + 6*10 - a = 0

12 + 60 - a = 0

72 = a

3x + 6y - 72 = 0.

We can simplify this by dividing all numbers by 3, getting:

x + 2y - 24 = 0

Answer:

$100.8

Step-by-step explanation:

Discount=20% of 120 =24

Before tax: BP=120-24=96

After Tax BP=105% of 96=$100.8

Answer:

3.) 7

4.) 5

5.) 25

6.) 2/3

7.) 9

8.) 24

Answer:

3) 7.

4) 5

5) 25

6) 2/3

7) 9

8) 24

Step-by-step explanation:

Answer:

Error: 131π

Surface Area = 131π=411.5 yd^2

Step-by-step explanation:

All the other steps were correct but 131π = 411.5486376, so there's no way the person should have gotten 411.3 yd^3.

Finally, if we round 411.5486376 to the nearest tenth, we get 411.5 yd^2.

Answer:

True

Step-by-step explanation:

If you simplify an expression you divide for example:

4 x 6 - 10 would be dividing each number by 2, 2 x 3 - 5.

I'm not a genius so hopefully this is right and helps!

Answer: X=1/72

Step-by-step explanation:

3/8x-17=10

We move all terms to the left:

3/8x-17-(10)=0

Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R

We add all the numbers together, and all the variables

3/8x-27=0

We multiply all the terms by the denominator

-27*8x+3=0

Wy multiply elements

-216x+3=0

We move all terms containing x to the left, all other terms to the right

-216x=-3

x=-3/-216

x=1/72

Hello!☺

\(Answer:\boxed{x=72}\)

\(Explanation:\)

\(\frac{3}{8}x-17=10\)

Let's start by adding 17 to both sides:

\(\frac{3}{8}x-17+17=10+17\)

\(\frac{3}{8}x=27\)

In our second/final step, we will multiply both sides by 8/3:

\((\frac{8}{3})*(\frac{3}{8}x)=(\frac{8}{3})*27=72\\ x=72\)

Hope this helps!☺

The given linear model and the correlation are true. The particular circumstance will, however, determine if there is a causal association between the two variables.

Yes, there is a correlation between the two variables in the supplied linear model, proving that there is a connection between them. This correlation, which is vital for assessing the strength of their link, is graphically displayed using the linear model. However, since this correlation is not always present, whether there is a causal association between the two variables depends on the particular circumstance. For instance, two variables could have a high correlation, but neither one of them necessarily causes the other. More investigation into the cause-and-effect relationship between the two variables is required to ascertain whether there is a causal correlation.

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The complete question is

for each situation, described given a linear model, is there a correlation. if so is there a causal between a linear model and a given situation?

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

System A has no solution and system has infinitely many solutions y = -x/2 + 1.

Given the equations in system A ;

x + 3y = 3

-x - 3y = 3

Add the equations (1) and (2), we get:

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

0 = 6

The equations are inconsistent and do not have a solution.

Hence, the system has no solution.

For System B

x + 2y = 2

-x - 2y + 2 = 0

From the second equation, we can solve for x in terms of y as:

-x - 2y + 2 = 0

-x = 2y - 2

x = -2y + 2

Substituting this expression for x into the first equation, we get:

(-2y + 2) + 2y = 2

2 = 2

Hence, the system have infinitely many solutions

y = -x/2 + 1.

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The steps for the perpendicular bisector construction when ordered are :

Identify the two endpoints of the given segment AB and labeling them as A and B. This is important for the subsequent steps of the construction. Then draw two circles: one centered at A with a radius equal to the length of AB, and the other centered at B with a radius equal to the length of BA (which is the same as AB).

The two circles drawn in Step 2 intersect at two points. These points are labeled as C and D. Note that these points are equidistant from A and B, since they lie on the circles with radii AB and BA.

Finally, we draw a line through points C and D. This line is the perpendicular bisector of the segment AB, meaning it intersects AB at its midpoint and is perpendicular to AB.

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The definition of a rate in math is, the speed of something being gained in a problem, let's say we have a hot pipe that can full up a pool in 6 hours, our rate would be 1/6 of the pool per hour.

Answer:

0.6

Step-by-step explanation:

Answer:

A: 5

B: 32

C: 3

D; 14

C: 0.333

Step-by-step explanation:

Answer:

A) 48 is the answer 8-48=40

B) 32 is the answer 8+32=40

C) 3 is the answer 21 Divide 3=7

D) 14 is the answer 21-14=7

Step-by-step explanation: Hope this help :D

Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

Answer:

no

Step-by-step explanation:

because 3;2 is more the 2;3 as you know if you do it as a fraction it would be 3 over 2 and 2 over 3 the 3 over 2 whould be a whole and the 2 over 3 would be 3 forths of a whole and the 3 over 2 would be more

The percentage of students who got above 90 point is 80%

the decimal student got grade above the 90 points is 0.8

What is Decimal?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the name for the method of representing numbers in the decimal system.

Given,

Total no. of students = 30

No. of students who score above 90 points = 24

We have to find the percentage of the students who got above 90 points

So, to calculate,

                               24 / 30 x 100 = 80%

Now, we have to convert percent into decimal

so, we have,

                              80 / 100 = 0.8

Hence, 80% percent student got grade above 90 points

            And 0.8 of the student got grade above the 90 points

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First, we will find the x-intercept making y=0

3x-y= -8

3x-0=-8

3x=-8

x=-8/3

x=-2.667

The x-intercept is (-2.667,0)

Then for the y-intercept, we make x=0

3x-y=-8

3(0)-y=-8

y=8

The y-intercept is (0,8)

The graph is

The required Missing Frequency is 3.

Frequency is a measure of the number of occurrences of a given event within a specified period of time. It can refer to the number of times a particular event happens in a unit of time.

Such as the number of times a wave or vibration occurs in a second, or the number of times an action occurs in a given period. In physics, frequency is measured in hertz (Hz); in electrical engineering, it is measured in cycles per second (cps). Frequency is also used in mathematics, music, and sound engineering.

Value  Frequency

1             2

2            4

3            9

4            ?

5            6

6            8

7             2

8             4

Total      40

We have to find the Missing frequency:

Computation:

Missing frequency = Total frequency - Counted

Missing frequency = 40 - 37

Missing frequency = 3

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Let x be the number of months we have the cell phone plan.

We have a fixed cost, that is $200 and does not depend on the number of months.

Then, we have an additional cost of $50 per month. Then, for x months we have to add 50x of cost to the fixed $200.

We can express the cost C(x) as:

For one month (x=1), the cost is:

For a proportional relationship, the ratio f(x)/x has to be constant for all points of the relationship.

In this case, if C(x)/x is constant, then we have a proportional relationship.

We will calculate this as:

As the quotient C(x)/x is not constant (it depends on the value of x), the relationship is not proportional.

We can also spot that is not a proportional relationship beacuse the point (x,y)=(0,0) does not belong to the relation.

Answer:

A) The cost for one month is $250.

B) The total cost for x months can be expressed as 200+50x.

D) No, the relation is not proportional, as the ratio between the cost and months is not constant.

E) The start-up fee is $200 and the monthly cost is $50.

Answer:

We know that the factors of the number 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Step-by-step explanation:

so it would be 1,2,3,5,6,9 hope it helps :)

I agree, that is correct

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

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Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer:

.84

Step-by-step explanation:

21/25 = .84

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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The equation of the perpendicular line is y = -1/3x

From the question, we have the following parameters that can be used in our computation:

y = 3x + 2

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/3

The equation of the line is then calculated as

y = mx

Where

m = -1/3

So, we have

y = -1/3x

Hence, the line has an equation of y = -1/3x

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Answer:

Answer is 10.86

Step-by-step explanation:

12x11/14 + 10/7

=132/14 + 20/14

=152/14

=10.86

Answer:

7x³y² - 3x²y² + xy - 5

Step-by-step explanation:

Add like terms.

5x³y² + 2x³y² = 7x³y²

-3x²y² = -3x²y²

-3xy + 4xy = xy

2 - 7 = -5

Put them all together.

7x³y² - 3x²y² + xy - 5

Answer:

x = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (30 sqrt(1462809) + 36253)^(1/3)) + 7/60 or x = 7/60 - 1/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) (131 (-1)^(1/3) + (30 sqrt(1462809) + 36253)^(2/3)) or x = 1/60 (131 (-1/(36253 + 30 sqrt(1462809)))^(1/3) + (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)) + 7/60

see atachement it's more legible.

Step-by-step explanation:

Solve for x:

(20 x^3 - 7 x^2 + 3 x - 7)/(-13 x^2 - 5) = 0

Hint: | Multiply both sides by a polynomial to clear fractions.

Multiply both sides by -13 x^2 - 5:

20 x^3 - 7 x^2 + 3 x - 7 = 0

Hint: | Look for a simple substitution that eliminates the quadratic term of 20 x^3 - 7 x^2 + 3 x - 7.

Eliminate the quadratic term by substituting y = x - 7/60:

-7 + 3 (y + 7/60) - 7 (y + 7/60)^2 + 20 (y + 7/60)^3 = 0

Hint: | Write the cubic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

20 y^3 + (131 y)/60 - 36253/5400 = 0

Hint: | Write the cubic equation in standard form.

Divide both sides by 20:

y^3 + (131 y)/1200 - 36253/108000 = 0

Hint: | Perform the substitution y = z + λ/z.

Change coordinates by substituting y = z + λ/z, where λ is a constant value that will be determined later:

-36253/108000 + (131 (z + λ/z))/1200 + (z + λ/z)^3 = 0

Hint: | Transform the rational equation into a polynomial equation.

Multiply both sides by z^3 and collect in terms of z:

z^6 + z^4 (3 λ + 131/1200) - (36253 z^3)/108000 + z^2 (3 λ^2 + (131 λ)/1200) + λ^3 = 0

Hint: | Find an appropriate value for λ in order to make the coefficients of z^2 and z^4 both zero.

Substitute λ = -131/3600 and then u = z^3, yielding a quadratic equation in the variable u:

u^2 - (36253 u)/108000 - 2248091/46656000000 = 0

Hint: | Solve for u.

Find the positive solution to the quadratic equation:

u = (36253 + 30 sqrt(1462809))/216000

Hint: | Perform back substitution on u = (36253 + 30 sqrt(1462809))/216000.

Substitute back for u = z^3:

z^3 = (36253 + 30 sqrt(1462809))/216000

Hint: | Take the cube root of both sides.

Taking cube roots gives 1/60 (36253 + 30 sqrt(1462809))^(1/3) times the third roots of unity:

z = 1/60 (36253 + 30 sqrt(1462809))^(1/3) or z = -1/60 (-36253 - 30 sqrt(1462809))^(1/3) or z = 1/60 (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)

Hint: | Perform back substitution with y = z - 131/(3600 z).

Substitute each value of z into y = z - 131/(3600 z):

y = 1/60 (30 sqrt(1462809) + 36253)^(1/3) - 131/(60 (30 sqrt(1462809) + 36253)^(1/3)) or y = -1/60 (-30 sqrt(1462809) - 36253)^(1/3) - (131 (-1)^(2/3))/(60 (30 sqrt(1462809) + 36253)^(1/3)) or y = 131/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) + 1/60 (-1)^(2/3) (30 sqrt(1462809) + 36253)^(1/3)

Hint: | Simplify each solution.

Bring each solution to a common denominator and simplify:

y = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (36253 + 30 sqrt(1462809))^(1/3)) or y = -1/60 (-1/(36253 + 30 sqrt(1462809)))^(1/3) ((30 sqrt(1462809) + 36253)^(2/3) + 131 (-1)^(1/3)) or y = 1/60 (131 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) + (-1)^(2/3) (30 sqrt(1462809) + 36253)^(1/3))

Hint: | Perform back substitution on the three roots.

Substitute back for x = y + 7/60:

Answer: x = ((30 sqrt(1462809) + 36253)^(2/3) - 131)/(60 (30 sqrt(1462809) + 36253)^(1/3)) + 7/60 or x = 7/60 - 1/60 ((-1)/(30 sqrt(1462809) + 36253))^(1/3) (131 (-1)^(1/3) + (30 sqrt(1462809) + 36253)^(2/3)) or x = 1/60 (131 (-1/(36253 + 30 sqrt(1462809)))^(1/3) + (-1)^(2/3) (36253 + 30 sqrt(1462809))^(1/3)) + 7/60

The answers are given below.

In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths. The six trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant, and Cotangent.

Given:

1) 2Sin(9θ).Cos(5θ)=1/2(Sin14θ+Sin4θ)

2) Sin(3θ)Sin(5θ)Cos(3θ)Cos(5θ)=1/2(Sin8θ+Sin2θ)

3)Cos6θ+Cos4θ=2Cos5θCosθ

4)Sin(13θ/2)+Sin9θ=2Sin(11θ/2)Sinθ

5)Cosθ=2√5/5

6)Cos2θ=23/2

7)Tan(π/12)=2-√3

8)Sin(165°)=√6-√2 /4

9)Cos(5π/18)Cos(2π/9)-Sin(5π/18)Sin(2π/9)=Cos(π/2)

                                                                      =0

Hence, these are the answers .

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The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

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

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

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

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation: