(0.0196N) x (0.016m) =

Answer:

[tex]f^{-1}(x)=\frac{ln(x)}{ln(3)}[/tex]

Step-by-step explanation:

Given: [tex]f(x)=3^x[/tex]

To find the inverse, let's first replace the [tex]f(x)[/tex] with [tex]y[/tex].

[tex]y=3^x[/tex]

Switch the [tex]x[/tex] and [tex]y[/tex].

[tex]x=3^y[/tex]

Solve for [tex]y[/tex].

[tex]y=\frac{ln(x)}{ln(3)}[/tex]

Write it in inverse notation.

[tex]f^{-1}(x)=\frac{ln(x)}{ln(3)}[/tex]

Answer: A) f^-1(x) = log₃x

Answer:   A) 3x + 5x - 4 = 1

Step-by-step explanation:

The second equation is y + 4 = 5x.  Solve this equation for y by subtracting 4 from both sides. --> y = 5x - 4

Now replace "y" in the first equation with "5x - 4".

     3x +      y     = 1

-->  3x + (5x - 4) = 1

1. would have to be team E because add up all the numbers 1058/8 (which is how many numbers that is there) 132.25.

2. (More of an explanation if you still don't understand)

52+52+53+54+55+55=321/6=53.5

52+53+54+55+57+57=328/6=54.66 repeated rounded to 54.7 so your answer is 1.2

Answer:

∠STP = 90°

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, hence

∠STP = 90°

let's say number is x , then

30 × (x)^2 = 8x

subtracting 8x from both side

30x^2 - 8x = 0

taking 2x common

2x( 15x - 4)= 0

one solution is

2x = 0

x= 0

but number is non zero so ignoring it.

next solution is

15x - 4 = 0

adding 4 both side

15x = 4

dividing by 15 both side

x = 4/15

Cost of chicken wings at Buffalo Bills = 8 wings for $7

Cost of 1 wing at Buffalo Bills = [tex]\frac{7}{8} =0.875[/tex]

Cost of chicken wings at Buffalo Mild Wings = 12 wings for $10

Cost of 1 wing at Buffalo Mild Wings = [tex]\frac{10}{12}= 0.833[/tex]

Cost of chicken wings at Wingers = 20 wings at $17

Cost of 1 wing at Wingers = [tex]\frac{17}{20}= 0.850[/tex]

Hence, comparing all the three costs per wing, we can see that Buffalo Mild Wings is serving chicken wings at lowest price of $0.833 per wing.

Answer:

It is B

Step-by-step explanation:

ANSWER

a. 2 real roots, 2 imaginary roots

EXPLANATION

The given equation is

[tex] {x}^{4} - 64 = 0[/tex]

We rewrite as difference of two squares,

[tex]( {x}^{2} )^{2} - {8}^{2} = 0[/tex]

We factor using difference of two squares to get;

[tex]( {x}^{2} - 8)( {x}^{2} + 8) = 0[/tex]

We now use the zero product property to get:

[tex]{x}^{2} = 8 \: or \: {x}^{2} = - 8[/tex]

Take the square root of both sides to get;

[tex]{x} = \pm \sqrt{8} \: or \: {x}^{2} = \pm \sqrt{ - 8} [/tex]

[tex]{x} = \pm 2\sqrt{2} \: or \: {x} = \pm 2\sqrt{ 2} i[/tex]

[tex]{x} = - 2\sqrt{2} \: or \: {x} = 2\sqrt{ 2}[/tex]

are two real roots.

[tex]{x} = - 2\sqrt{2}i \: or \: {x} = 2\sqrt{ 2} i[/tex]

are two imaginary roots.

The correct answer is A.

The correct answer is a. 2 real roots, 2 imaginary roots.

To determine the number and type of roots for the equation [tex]\(x^4 - 64 = 0\)[/tex]

1. Start with the equation:

[tex]\[ x^4 - 64 = 0 \][/tex]

2. Rewrite the equation as a difference of squares:

[tex]\[ x^4 - 64 = (x^2)^2 - 8^2 = (x^2 - 8)(x^2 + 8) = 0 \][/tex]

3. Set each factor equal to zero:

[tex]\[ x^2 - 8 = 0 \]\[ x^2 + 8 = 0 \][/tex]

4. Solve each equation separately:

For [tex]\(x^2 - 8 = 0\)[/tex]:

[tex]\[ x^2 = 8 \]\[ x = \pm \sqrt{8} = \pm 2\sqrt{2} \][/tex]

These are two real roots.

For [tex]\(x^2 + 8 = 0\)[/tex]:

[tex]\[ x^2 = -8 \]\[ x = \pm \sqrt{-8} = \pm \sqrt{8i^2} = \pm 2\sqrt{2}i \][/tex]

These are two imaginary roots.

Therefore, the equation [tex]\(x^4 - 64 = 0\)[/tex] has:

- 2 real roots: [tex]\(2\sqrt{2}\) and \(-2\sqrt{2}\)[/tex]

- 2 imaginary roots: [tex]\(2\sqrt{2}i\) and \(-2\sqrt{2}i\)[/tex]

The correct answer is:

a. 2 real roots, 2 imaginary roots

The complete question is- Which describes the number and type of roots of the equation [tex]x^4 - 64 = 0[/tex]

a. 2 real roots, 2 imaginary roots

b. 4 real roots

c. 3 real roots, 1 imaginary root

d. 4 imaginary roots

Answer:

$34.5

Step-by-step explanation:

1. 268 - 130 = 138

2. 138 x .25 = 34.5

3336_____________________________

Answer:

y = -3.3 then  -7.1

y = -7.1 then  -10.9

y = -2.6 then -6.4

y = 1 then -2.8

y = 4.2 then 0.4

Step-by-step explanation:

(-3.8)+0+y can be simplified to -3.8 + y. Evaluate each value for y by substituting it into the expression and solving.

y = -3.3 then -3.8 + -3.3 = -7.1

y = -7.1 then -3.8 + -7.1 = -10.9

y = -2.6 then -3.8 + -2.6 = -6.4

y = 1 then -3.8 + 1 = -2.8

y = 4.2 then -3.8 + 4.2 = 0.4

To evaluate the expression (-3.8) + 0 + y, substitute the given value of y and perform addition.

To evaluate the expression (-3.8) + 0 + y, you simply substitute the given value of y into the expression and perform the addition. Let's evaluate the expression for each given value of y:

Thus, the values of the expression for the given values of y are:

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Answer:

see explanation

Step-by-step explanation:

P - Q

= - 4b² + 6b - 9 - ( 7b² - 2b - 5) ← distribute by - 1

= - 4b² + 6b - 9 - 7b² + 2b + 5 ← collect like terms

= - 11b² + 8b - 4

Answer:

[tex]\large\boxed{P-Q=-11b^2+8b-4}[/tex]

Step-by-step explanation:

[tex]P=-4b^2+6b-9\\Q=7b^2-2b-5\\\\P-Q=(-4b^2+6b-9)-(7b^2-2b-5)\\P-Q=-4b^2+6b-9-7b^2-(-2b)-(-5)\\P-Q=-4b^2+6b-9-7b^2+2b+5\qquad\text{combine like terms}\\P-Q=(-4b^2-7b^2)+(6b+2b)+(-9+5)\\P-Q=-11b^2+8b-4[/tex]

Answer:

9

Step-by-step explanation:

✯Hello✯

↪  There is a quadratic formula that needs to be used. 4ac and b^2 are a part of this formula

↪  First we need to work out the Values for A and B and C

A = 1

B = 5

C= 4

↪  now we can substitute this into what the equation is asking. (5)^2-4(1)(4)=9

↪  The answer is 9

↪   I hope this helps you :)

❤Gianna❤

Answer:

  The money Javier earned installing doors.

Step-by-step explanation:

The problem statement gives insufficient information to answer the question with certainty.

The $56 extra earnings from door installation seems to match the 56 added as a term in Javier's pay, so we assume they are related. There is nothing else in the problem statement suggesting that to be the case.

_____

Comment on this problem

The problem fails to teach anything about math or critical thinking. Rather, it requires a student to jump to conclusions without any basis in reasoning. If the rest of the curriculum materials are like this, they should be rejected.

Answer:

3 liters.

Step-by-step explanation:

If you go to the store and you buy a 2 liter of soda making a pitcher of lemonade with one more liter won't hurt.

A milliliter is not a lot. It won't even quench your own thirst. So 3 liters is the best option.

Answer:

P = 0.3462

Step-by-step explanation:

See attached photo for work.

We have a sample mean of 35, a sample standard deviation of 8, and a sample size of 36.  

You need to see that the probability of the number of items you can deliver in a day is between 32.6 and 34.6.

The answer is 0.3462, so there's about a 34.62% chance that you will deliver an average of 32.6 to 34.6 packages per day.

The probability a random sample of 36 days would have a mean between 32.6 and 34.6 is 0.3462

Mean is actually the average of all the observations.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean

A z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

According to the problem,

Here we need to find  P(32.6 < x < 34.6)

[tex]z_{32.6}[/tex] = [tex]\frac{32.6-35}{\frac{8}{\sqrt{36} } }[/tex] = - 1.80

[tex]z_{34.6} = \frac{34.6-35}{\frac{8}{\sqrt{36} } }[/tex] = -0.30

∴ P(32.6 < x < 34.6) = P ( -1.80 < z < -0.30)

= P(z< -0.30) - P(z < -1.80)

= 0.3821 - 0.0359 = 0.3462

∴  The required probability is 0.3462

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Answer:

Equation I: C=2*3.14*r

Step-by-step explanation:

A linear equation is an equation whose highest exponent on the variable is 1.

C=2*3.14*r.................Exponent of 1

A = 3.14*r^2...............Exponent of 2

A = 3.14*r^2...............Exponent of 3

there are 13 small dogs that compete

See the attached picture:

Here is your answer

[tex]\bold{-2}[/tex]

REASON :

Given equation -

[tex] \frac{-3}{4}{x}^{2}+2=0 [/tex]

when, written in general form equation is

[tex] \frac{3}{4}{x}^{2}-2=0 [/tex] (on multiplying both sides by -1)

Now this is quadratic equation in general form, where

[tex] a= \frac{3}{4} [/tex] [coefficient of x^2]

b= 0 [coefficient of x]

c= -2 [constant term]

Hence, c= -2

HOPE IT IS USEFUL

Answer:

-2

Step-by-step explanation:

a = 3/4

[coefficient of x^2]

b= 0 [coefficient of x]

c= -2 [constant term]

Answer:

D) 4/5

Step-by-step explanation:

He drew and replaced cards 10 times.

8 out of the 10 times, he drew a red card.

8/10 = 4/5

Answer: D) 4/5

You are correct.

Final answer:

The experimental probability of drawing a red card, based on the information given, is 4/5, since Marco drew 8 red cards out of 10 total draws.

Explanation:

The student is asking for the experimental probability of drawing a red card based on Marco's actual draws from a standard deck of 52 cards. Experimental probability is calculated by dividing the number of times the event of interest (drawing a red card) occurred by the total number of trials. In this case, Marco drew a red card 8 times out of 10 total draws.

Therefore, the experimental probability is:

Experimental Probability = Number of red cards drawn / Total number of draws = 8/10

When simplified, 8/10 equals 4/5. Therefore, the correct answer is:

Experimental Probability of Drawing a Red Card = 4/5

Answer:

A = 204  

Step-by-step explanation:

The formula for the area of a parallelogram is

A = bh

Data:

   P = 60

   h = AX =12

MX = 5

Calculation:

MA² = MX² + h² = 5² + 12² = 25 + 144 = 169

MA  = √169 = 13

P = 2MA + 2MH =  2MA + 2(MX + HX) = 26 + 2(5 + HX) = 60

 26 + 10 + 2HX = 60

         36 + 2HX = 60

                 2HX = 24

                   HX = 12

b = MH = MX + HX  = 5 + 12 = 17

A = bh =17 × 12 = 204

The area of the parallelogram is 204.

Answer:

44 liters

Step-by-step explanation:

It is 44 liters !!!!!

Answer:

See below.

Step-by-step explanation:

1.  (1 / 2)[cos(a – b) – cos(a + b)]

= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)

= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)

= 1/2 ( 2 sina sinb)

= sina sinb.

(I  used the 2 identities   cos(a - b) = cosa cosb + sina sinb) and

cos (a + b) = cosa cosb - sina sinb.)

2.  sin (π/2 - x)  = sin (π/2) cos x - cos(π/2) sin x

     =    1 * cos x - 0 * sinx  

     =   cosx - 0

     = cos x.

  (I used the identity sin(a - b) = sina cosb - cosa sinb

 and the fact that  sin(π/2) = 1 and cos (π/2) = 0. )

Answer:

1. sin a sin b = (1 / 2)[cos(a – b) – cos(a + b)]

Calculation:

Taking L.H.S. of above equation

                    (1 / 2)[cos(a – b) – cos(a + b)]

                 = (1 / 2) [ (cos a cos b + sin a sin b) - (cos a cos b - sin a sin b)]

                           {∵ cos(a – b) = cos a cos b + sin a sin b     &    cos(a + b) = cos a cos b - sin a sin b}

                 = (1 / 2) [ cos a cos b + sin a sin b - cos a cos b + sin a sin b]

                 = (1 / 2) [2 sin a sin b]

                 = sin a sin b

2. sin((π / 2) – x) = cos x

Calculation:

sin((π / 2) – x) = sin (π / 2) cos x - cos (π / 2) sin x

                                                      {∵sin(a - b) = sin a cos b - cos b sin a                                                    

                                                       &  sin (π / 2)  =  1   &  cos (π / 2) = 0}

                       = 1 × cos x - 0 × sin x

                       = cos x

ANSWER:

~~~~~~~~~

Im pretty sure the answer is "Relation"

~~~~~~~~~

Relation definition:

A relation is a set of numbers that have a relationship through the use of a domain and a range.

~~~~~~~~~

HOPE THIS HELPS!!!

≠GoodLuck

It is a relation because even if they are negative they still can have a relation between them. Hope this is helpful for you!

Answer:

Option C

no, because the remainder is 126

Step-by-step explanation:

Given the polynomial equation in the question

-3x^{3}+6x^{2}+6x+9

factor =  x + 3 (divisor)

          -3x² + 15x - 39             Quotient

          --------------------------------

x + 3|  -3x³ + 6x² + 6x + 9     Dividend

        |  -3x³ - 9x²

                   ----------------------

                      15x² + 6x + 9

                      15x² + 45x

                      --------------------

                               -39x + 9

                               -39x - 117

                                 -------------

                                           126   Reminder

Since reminder is not zero so (x + 3) is not factor of -3x³ + 6x² + 6x + 9.

(x-3) is the factor of  -3x³ + 6x² + 6x + 9.

Final answer:

To determine if there is a significant difference between two polishing solutions, a two-proportion z-test can be used, comparing the proportions of polishing-induced defects. If the p-value is less than the significance level (0.01), the null hypothesis is rejected.

Explanation:

To determine if there is a significant difference between the two polishing solutions used in tumble-polishing intraocular lenses, we can perform a hypothesis test. The null hypothesis (H0) is that there is no difference between the proportions of polishing-induced defects for the two solutions, while the alternative hypothesis (Ha) is that there is a difference.

We can use a two-proportion z-test to compare the proportions of defects. The z-test statistic is calculated as:

z = (p1 - p2) / [tex]\sqrt{(p1q1/n1)[/tex] + (p2q2/n2))

where p1 and p2 are the proportions of defects, q1 and q2 are 1-p1 and 1-p2 respectively, and n1 and n2 are the number of lenses polished with each solution. The p-value for this test can be calculated using a standard normal distribution table or a statistical software.

If the p-value is less than the significance level α (0.01 in this case), we reject the null hypothesis and conclude that there is a significant difference between the two polishing solutions.

The p-value for this test cannot be determined without the actual values of p1, p2, q1, q2, n1, and n2.

PARALLEL slopes always have the same slope no matter what because they are parallel

Answer:

Answer is B

Step-by-step explanation:

To find the workers' compensation insurance premium, multiply the payroll for September ($179,805) by the base rate converted to decimal (0.1124), resulting in a premium of $20,210.08 (Option A).

The question involves calculating the premium for workers' compensation insurance based on the total payroll for the month of September. To determine the monthly premium, we need to apply the base rate to the total payroll amount. The base rate is given as $11.24 per $100 in wages paid. We can calculate the premium with the following steps:

Convert the base rate to a decimal by dividing by 100. This will give us 0.1124.

Multiply the total payroll amount ($179,805) by the decimal base rate (0.1124) to get the premium amount.

Let's perform the calculation:

$179,805 * 0.1124 = $20,210.08

Therefore, the correct option is:

A) $20,210.08

Answer:

b- 4.6

Step-by-step explanation:

5y = 2.3√x

Let x = 100

5y = 2.3 sqrt(100)

5y = 2.3 (10)

5y = 23

Divide by 5

5y/5 = 23/5

y =4.6

Answer:

D.m=15t

Step-by-step explanation:

If the number of tickets is t and the total amount of money collected is m then a product of the price per ticket with the cost of the ticket gives the amount of money collected from the sale of the tickets.

therefore m= t×15

              m=15t

Answer:

D. m = 15t

Step-by-step explanation:

We have to assume that m is supposed to stand for the money (in dollars) that results from the sale of t tickets. Then the sale of t=1 ticket will result in m=15 dollars. Only one of the offered formulas will give this result:

m = 15t

_____

Comment on the problem

Variables need to be defined. We'd prefer to see some discussion of how concert expenses are covered, so we can be assured that ticket sales directly relate to money raised.