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The effectiveness of stearic acid in repelling mosquitoes can be calculated by using the data given in the statement and the following formula.Effectiveness of Stearic Acid = (Effectiveness of stearic acid plus linoleic acid) - (Effectiveness of linoleic acid)

Substituting the given values, we get the effectiveness of stearic acid as: (Effectiveness of stearic acid + linoleic acid) - (Effectiveness of linoleic acid)=(5+10)−(Effectiveness of linoleic acid)=15 - Effectiveness of linoleic acidNow, it is given that palmitic acid was three times more effective than stearic acid.

Hence, the effectiveness of stearic acid can be written as: Effectiveness of stearic acid = 1/3 (Effectiveness of palmitic acid)Also, palmitic acid was 10% more effective than linoleic acid. Hence, the effectiveness of palmitic acid can be written as:Effectiveness of palmitic acid = 1.10

(Effectiveness of linoleic acid)Substituting the value of effectiveness of palmitic acid in the equation for effectiveness of stearic acid, we get:Effectiveness of stearic acid = 1/3 (Effectiveness of palmitic acid)= 1/3 x 1.10 (Effectiveness of linoleic acid)= 0.366 (Effectiveness of linoleic acid)

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Let's call A the initial amount of water, in liters, in that barrel.

After y liters were spilled, the amount left was

A - y

Then, after 6 liters were added, the final remaining amount was given by:

A - y + 6

Now, since x liters remain, we have:

x = A - y + 6

Therefore, if we can find the expression for the initial amount of water, in liters, by isolating A in that equation:

x = A - y + 6

x + y = A + 6

x + y - 6 = A

A = x + y - 6

Thus, the initial amount of water was (x + y - 6) liters.

Answer:

Step-by-step explanation:

we know that the triangle to the center is an isosceles,  so the two angle on the circle of that triangle are the same.   both 41,  so 41*2 =82  

all the way around that isosceles triangle is 180  so

180-82 = 98

the angle at O is 98°

the arc BC spans 98°

angle 'a'  is 1/2(98°)

a = 49°

The center line for a process control chart that indicates whether the variation within samples is between 0 and 1.0 and variation in the center line has come to be 0.32.

Control chart or range (R-) chart is used for monitoring and controlling variation within samples. Control charts can be used to identify sources of variation, both common and special cause. We have a process for filling liquid laundry detergent bottles monitors.

Number of samples = 5

number of observation bottels = 4

The measurement units is fluid ounces. Typically, graphs contain a center line that represents the mean value of the monitored process. The other two horizontal lines, called the upper control limit (UCL) and the lower control limit (LCL). First draw the chart for above data is present in above figure 2. The red line is central line. The standard deviations is used to determine the variation in data. To determine the variation here standard deviations is 0.32. The upper control limit is calculated by formula,

= average range + 3 (standard deviations)

= 11.81 + 3×0.32

= 11.81 + 0.96 = 12.77

Lower control limit = average range - 3(standard deviations) = 11.81 - 0.96

= 10.85

Hence, the required variation is 0.32.

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Complete question:

The above figure 1 completes the question. a process for filling liquid laundry detergent bottles monitors the volume in each bottle. the operations manager has taken 5 samples with 4 observations (bottles) in each sample to determine if the variation in volume is reasonable. the measurement unit is fluid ounces. calculate the center line for a process control chart that indicates whether the variation within samples is reasonable.

The zeros of p(x) are x = 2 and x = -3/2. We can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct as the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x² and the product of the zeroes is equal to the constant term divided by the coefficient of x².

Given that, p(x) = 2x² - x - 6. To find the zeros of p(x), we need to set p(x) = 0 and solve for x as follows; 2x² - x - 6 = 0. Applying the quadratic formula we get,\($x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}$ where a = 2, b = -1 and c = -6$x = \frac{-(-1) \pm \sqrt{(-1)^2-4(2)(-6)}}{2(2)} = \frac{1 \pm \sqrt{49}}{4}$x = $\frac{1+7}{4} = 2$ or x = $\frac{1-7}{4} = -\frac{3}{2}$.\) Verifying the relationship of zeroes with these coefficients.

We know that the sum and product of the zeroes of the quadratic function are related to the coefficients of the quadratic function as follows; For the quadratic function ax² + bx + c = 0, the sum of the zeroes (x1 and x2) is given by;x1 + x2 = - b/a. And the product of the zeroes is given by x1x2 = c/a.

Therefore, for the quadratic function 2x² - x - 6, the sum of the zeroes is given by; x1 + x2 = - (-1)/2 = 1/2. And the product of the zeroes is given by x1x2 = (-6)/2 = -3. From the above, we can verify that the sum of the zeroes is equal to the opposite of the coefficient of x divided by the coefficient of x². We also observe that the product of the zeroes is equal to the constant term divided by the coefficient of x². Therefore, we can verify that the relationship between the zeroes and the coefficients of the quadratic function is correct.

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Answer:

37

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain ( x values ): { 2, 4, 6, 8 }

Range ( y values ): { -2, 2, -4 , 7, -8 }

The arrows show which number they go to.

So, 2 having two arrows means. There's a ( 2, -2 ) and a ( 2, 2 )

Answer:

false false false true true

Step-by-step explanation:

you got the first four wrong.

Answer:

a. False

b. False

c. False

d. True

e. True

Step-by-step explanation:

If n= 4 then

a. (7*4)^2 ≠ 7^8

b. (-5)^3 × (-5)^4 ≠ (-5)^12 when multiplying numbers together the exponents are added

c. 19^4/19 ≠ 19^4

d. (3*4)^2 = 144 which is 144 = 144

e. (-2/5)^2 = 4/25 which is 4/25 = 4/25 this true because a negative number multiplied by a negative number becomes a positive

I plugged each equation into a calculator and it gave me these answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

243, 729

Step-by-step explanation:

The pattern is to multiply the number by 3 to get to the next number

Example : 1 x 3 = 3 (second number), 3 x 3 = 9 (third number), 9 x 3 = 27 (fourth number)

Following the pattern, the next 2 numbers should be : 81 x 3 = 243, and 243 x 3 = 729

==================================

Work Shown:

m = -5 is the slope

(x1,y1) = (-3,-7) is the point the line goes through

Plug this into the point slope form below and simplify.

y - y1 = m(x - x1)

y - (-7) = -5(x - (-3))

y + 7 = -5(x + 3)

Side note: If we solved for y, we'd get y = -5x - 22 showing that -22 is the y intercept.

The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

its tricky but I think its 24

I'm nat sure at all

Answer:

64

Step-by-step explanation:

\(\dag\bf\:A(x_1,y_1)=(1,5)\)

\(\dag\bf\:B(x_2,y_2)=(3,13)\)

We have to find distance between point A and point B\(.\)

\(\bigstar\:\boxed{\bf{AB=\sqrt{(x_2-x_1)^2+(y_2+y_1)^2}}}\)

\(:\implies\tt\:AB=\sqrt{(3-1)^2+(13-5)^2}\)

\(:\implies\tt\:AB=\sqrt{(2)^2+(8)^2}\)

\(:\implies\tt\:AB=\sqrt{4+64}\)

\(:\implies\tt\:AB=\sqrt{68}\)

\(:\implies\tt\:AB=\sqrt{4(17)}\)

\(:\implies\underline{\boxed{\bf{\red{AB=2\sqrt{17}\:unit}}}}\)

Step-by-step explanation:

10 % = .10  rate,  r,  in decimal form

interest = p r t        p = principal deposit = $ 20    t = time in years

 Interst =  $ 20 (.10)( 3 ) =  $ 6.00

Answer:

n = 4

Step-by-step explanation:

To solve for n, you need to undo what is being done to the variable. Since n is being multiplied by 5, you must divide both sides of the equation by 5.

1. (5n)/5 = 20/5

2. n = 4

Hope this helps! (Please consider giving brainliest)

\(5n=20\)

Divide 5 from both sides.

\(5n/5=20/5\)

\(n\) does not have a coefficient now.

\(n=4\)

9514 1404 393

Answer:

  105 minutes

Step-by-step explanation:

The volume of the terrarium is ...

  V = LWH

  V = (42 in)(10 in)(9 in) = 3780 in³

The volume of a box is ...

  V = (3 in)(3 in)(3 in) = 27 in³

Then the number of boxes it takes to fill the terrarium is ...

  (3780 in³)/(27 in³/box) = 140 boxes

The mermaid wants to fill it 3/4 full, so only needs 3/4 this number of boxes. That is 105 boxes. At the rate of 1 per minute, ...

  it will take 105 minutes to fill 3/4 of the terrarium

Answer:

90

Step-by-step explanation:

So, you need to calculate both of the areas of the shapes and then subtract them.

so, 9×12=108

and

3×6=18

108-18=90

Answer:

90

Step-by-step explanation:

area of the big rectangle

minus

the area of the small rectangle

108 - 18 = 90

If the sample has the same mix of people, in the same proportions, as the population being studied then sociologists know if the sample they are using is representative. So the option c is correct.

No subject is off-limits when sociologists use the sociological lens and start asking questions. Every facet of human behaviour has the potential to be studied. Sociologists cast doubt on the society that people have built and inhabit. They observe behavioral patterns as individuals navigate that world.

Sociologists have uncovered workplace patterns that have revolutionized industries, family patterns that have educated parents, and educational patterns that have supported structural changes in classrooms by using sociological methodologies, methodical research, and a scholarly interpretive approach.

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The complete question is;

How do sociologists know if the sample they are using is representative?

a. If the people in the sample freely volunteered to serve as representatives

b. If the sample has an even number, decided by the researcher, of people from several different categories or backgrounds

c. If the sample has the same mix of people, in the same proportions, as the population being studied

d. If the participants have been interviewed to reveal possible bias.

Answer:

70 km in an hour

Step-by-step explanation:

35 x 2 is 70

Answer:

Step-by-step explanation:

70km/h

Source: https://www.gigacalculator.com/calculators/average-speed-calculator.php

Answer:

64

Step-by-step explanation:

Trust me, this is the answer, PLEASE GIVE ME BRAINLIEST

Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

Yes, it is correct

Step-by-step explanation:

If the temperature did not drop below 60 degrees, that means that it only stayed at 60 degrees or was higher than 60 degrees.

D is greater than or equal to 60 is the right inequality then.

Answer:

11. 40.5

12. 84

Step-by-step explanation:

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~

( a/3 - b/6 -1)^2 as expanded form:

\(\frac{a^2}{9} - \frac{ab}{9} - \frac{b^2}{36} - \frac{2a}{3} - \frac{b}{3} + 1\)

Step-by-step explanation: You have to Simplify the expression.

Hope this helped you. Brainliest would be nice!

44 + 38 can be written in the form a(b + c) as:

44 + 38 = 2(22 + 19) = 2(41)

We may use the distributive property to factor 44 + 38 by first determining their greatest common factor (GCF), which is 2, and then writing the result as follows:

44 + 38 = 2(22) + 2(19)

By removing the second from the equation, we may further reduce it: 44 + 38 = 2(22 + 19).

Therefore, 44 + 38 can be written in the form a(b + c) as:

44 + 38 = 2(22 + 19) = 2(41)

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You roll a fair six-sided die with the hopes of rolling a 5 or a 6. These two events are mutually exclusive because they have no sample points in common.

When two events are mutually exclusive, it means that they cannot happen at the same time. In this case, you cannot roll a 5 and a 6 at the same time because they are two different outcomes on a single roll of the die.A fair six-sided die has six equally likely outcomes: 1, 2, 3, 4, 5, or 6. The probability of rolling a 5 or a 6 on a single roll of a fair six-sided die is 2/6 or 1/3. This is because there are two outcomes (5 and 6) that are favorable, out of a total of six possible outcomes. Hence, the two events of rolling a 5 or a 6 on a fair six-sided die are mutually exclusive because they have no sample points in common.

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Answer:

Yes you have enough money because with the dicound the crocs are $45.50

Step-by-step explanation:

u have $50 the crocs is $65 but have 30% off

$65 with 30% off is $45.50

Answer:

YAY, you can buy the Crocs!

Step-by-step explanation:

First we divide $65/100% to find one percent.

1% = 0.65

100% (original price) - 30% (sale) = 70% --> so the Crocs cost 70% their original price.

0.65 (1%) x 70 = $45.50 (final price of Crocs)

Answer:

Step-by-step explanation:

Option 1:

B1

B2

C1