Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help!!!!

Answer:

0.027

Step-by-step explanation:

The p-value for Jane's chi-square test for goodness of fit is computed by using value of test statistic and degree of freedom.

Using Excel function CHISQ.DIST.RT(7.24,2) for computing p-value for chi-square goodness of fit test. 7.24 is the value of test statistic and 2 is degree of freedom. The resultant value is 0.026783. By rounding off to three decimal places the required p-value is 0.027.

Step-by-step explanation:

-2a4 - 3a2 + 7a + 6 - 6a3 + a4 + 7a2 - 6

Solving like terms

-a4 - 6a3 + 4a2 + 7a

Option A is the correct answer

Answer:

B. (0, 5]∪(15,30] only (15,30] contains viable rates for the hoses.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

For us to meet the pool maintenance company's schedule, the pool needs to fill at a combined

rate of at least 10 gallons per minute. If the inequality represents the combined rates of the hoses is 1/x+1/x-15≥10 we are to find all solutions to the inequality and identifies which interval(s) contain viable filling rates for the  hoses. On simplifying the equation;

[tex]\frac{1}{x} + \frac{1}{x-15} \geq \frac{1}{10}\\\\ find\ the \ LCM \ of \ the function \ on \ the \ LHS\\\\\frac{x-15+x}{x(x-15)} \geq \frac{1}{10}\\\\\frac{2x-15}{x(x-15)} \geq \frac{1}{10}\\\\10(2x-15)\geq x(x-15)\\\\20x-150\geq x^2-15x\\\\collect \ like \ terms\\-x^2+20x+15x - 150\geq 0\\[/tex]

[tex]-x^2+35x-150 \geq 0\\\\multipply \ through \ by \ minus\\x^2-35x+150 \leq 0\\\\(x^2-5x)-(30x+150) \leq 0\\\\x(x-5)-30(x-5) \leq 0\\\\[/tex]

[tex](x-5)(x-30) \leq 0\\\\x-5 \leq 0 and x - 30 \leq 0\\\\x \leq 5 \ and \ x \leq 30[/tex]

The interval contains all viable rate are values of x that are less than 30. The range of interval is (0, 5]∪(15,30]. Since the pool needs to fill at a combined  rate of at least 10 gallons per minute for the pool to meet the company's schedule, this means that the range of value of gallon must be more than 10, hence (15, 30] is the interval that contains the viable rates for the hoses.

Answer:

3.14159

Step-by-step explanation:

This number is pi. Pi goes on for millions of digits on end.

Answer:

The answer is pi. Pi goes on forever and irrational nunbers go on forever.

Answer:

Option E - sigma greater than or equal to $327

Step-by-step explanation:

In this question, we are testing whether the standard deviation of the base price of a certain type of all-terrain vehicle is at least $327.

Now, standard deviation is denoted by the symbol sigma(σ). Since the test is saying it should be at least $327, it means it should either be equal to $327 or greater than $327.

Thus, we would use the symbol ≥ which means "greater than or equal to".

Thus, the claim as a mathematical statement would be;

sigma greater than or equal to $327

Answer

p/q = 8/6

Make p the subject

p = 8q/6........equation 1

This year the price was reduced by 4

p-4/q-4 = 7/5

Cross multiple

5(p-4) = 7(q-4)

5p-20 = 7q-28

5p - 7q = -8 .......equation 2

Sub 8q/6 for p in equation 1

5(8q/6) - 7q = -8

Multiply through by 6

40q-42q=-48

-2q=-48

q=24

Sub 24 for q in equation 1

p= 8(24)/6

p= 192/6

p= 32.....

Check the answer for confirmation.

Thanks.

Answer:

7.3×10^8

Step-by-step explanation:

Hi

scientific notation  mean the answer is  of the  form x *10^y

where x ∈ [1; 10[   and  y ∈ Z

so   730 000 000  is   7.3 * 10^8

Answer:

A

Step-by-step explanation:

Answer:

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Step-by-step explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) .   b = (-4,5,-1).  c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution

Answer:

12

Step-by-step explanation:

4y - 6 + 5y = y

place 2 in the spot of y

4(2) - 6 + 5(2)= y

keep that last y the way it is

4•2=8     5•2=10

8-6+10=y

Simplify

2+10=y

12=y

Answer:

distance moved by kayaker is 54m

Answer:

  1100 ft

Step-by-step explanation:

1 mile per hour is equivalent to 22 ft in 15 seconds, so we can convert the speed to distance using ...

  distance = speed × time

  distance = (150 mi/h) (22/15 ft/s)/(1 mi/h) (5 s) = (150·22·5)/15 ft = 1100 ft

The car travels 1100 feet in 5 seconds.

Answer:

1246 2/3 feet

Step-by-step explanation:

17 miles/hour * 5280 feet/1 mile * 1 hour/60 minutes * 1 minute/ 60 seconds =

24.93 feet/second * 50 seconds = 1246 2/3 feet

Answer: about 25 feet

Step-by-step explanation:

( the exact number for the problem would be 24.933.... so round )

convert 17 miles into a # of feet

convert 1 hr into a # of secs

# of feet=89760

# of secs=3600

divide 89760/3600

you get 24.9333..........

Round to the nearest tenth and get 25

Answer:

A; ?; Line 3

Step-by-step explanation:

Question 1:

-30 divided by -6 is 5.

The negatives cancel each other out.

And 30 divided by 6 is simply 5.

Question 2:

[tex]62\div(3+9)[/tex]

Do the operation inside the parenthesis first:

[tex]62\div12[/tex]

Divide. 12 does not go into 62 evenly. 12 times 5 is 60, so the answer is 5 remainder 2:

[tex]62\div12=5\text { R}2[/tex]

Or in fractions:

[tex]31/6[/tex]

(Was there a typo? From what you've given me, the correct answer is not listed.)

Question 3:

So we have to following steps:

[tex]\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+11(2)\\\text{Line 4: }21+22\\\text{Line 5: }43[/tex]

The mistake is in Line 3. Danny cannot just combine 5+6(2) into 11(2). Instead, he should multiply 6(2) and then add. Thus, the correct solution is:

[tex]\text{Line 1: } 21+35\div7+6(2)\\\text{Line 2: }21+5+6(2)\\\text{Line 3: }21+5+12\\\text{Line 4: }26+12\\\text{Line 5: }38[/tex]

Answer:

[tex]\Huge \boxed{{x=-1\pm \sqrt{7}}}[/tex]

Step-by-step explanation:

x² + 2x = 6

Subtract both sides by 6.

x² + 2x - 6 = 0

ax²+bx+c=0

a=1, b=2, and c=-6

We can apply the quadratic formula.

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Plug in the values.

[tex]\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}[/tex]

Evaluate.

[tex]\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}[/tex]

[tex]\displaystyle x=\frac{-2\pm\sqrt{28}}{2}[/tex]

[tex]\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}[/tex]

Answer: Edmentum and Plato

Step-by-step explanation:

Answer:

The first equation can be multiplied by 3 and the second equation by 2.

Step-by-step explanation:

We are given the following system of equations:

[tex]\boxed{\left \{ {{2x+3y=25} \atop {-3x+4y=22}} \right.}[/tex]

To eliminate a variable in the equation, they must cancel out. For instance, if x = 1, in order to cancel out the numbers, you must add -1.

To multiply an equation, you must apply the constant that you are multiplying by to all constants and coefficients of the equation. For example, to multiply 2x + 4y = 8 by 3, you must multiply 2x by 3, 4y by 3, and 8 by 3.

Therefore, using this information, you can attempt each answer set and test the possibilities.

Answer Choice A

If you multiply the first equation by -3, you will get -6x - 9y = -75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -6 + -6 gives you -12, so these do not cancel out.

Answer Choice B

If you multiply the first equation by -4, you will get -8x - 12y = -100. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding -8 + -6 gives you -14, so these do not cancel out.

Answer Choice C

If you multiply the first equation by 3, you will get 6x + 9y = 75. If you multiply the second equation by 2, you will get -6x + 8y = 44. Adding 6 + -6 gives you 0, so these do cancel out.

Answer Choice D

If you multiply the first equation by 4, you will get 8x + 12y = 100. If you multiply the second equation by -3, you will get 9x - 12y = -66. Adding 8 + -9 gives you -1, so these do not cancel out.

Answer:

50

Step-by-step explanation:

a = # of apples

b = # of bananas

5a + 3b = 570

3a + 5b = 470

Solve with substitution or elimination.  To solve by elimination, multiply the first equation by 5 and the second equation by 3.

25a + 15b = 2850

9a + 15b = 1410

Subtract:

16a = 1440

a = 90

Plug into either equation to find b.

5(90) + 3b = 570

450 + 3b = 570

3b = 120

b = 40

So apples are 90 cents, and bananas are 40 cents.  Therefore, apples are 50 cents more than bananas.

Answer:

1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.

Step-by-step explanation:

There are several ways to solve this, I like using proportions.

(You could also find 3/4 of every ingredient since 12 is 3/4s of 16)

We can do this by temporarily naming the amount of each ingredient a variable, and then using the proportion to find the variable.

Note that in a given proportion such as:

a/b=c/d

will always equal

a*d=b*c

This is known as cross multiplying.

For each ingredient I'm going to set up the following proportion:

[tex]\frac{amount of given ingredient in 16 brownies}{16 (number of brownies)} = \frac{variable (amount of given ingredient in 12 brownies}{12 (new number of brownies)}[/tex]

Now we can start setting up proportions for every ingredient.

Butter:

(2/3)/16=b/12

(2/3)(12)=16b

8=16b

b=1/2

Chocolate:

5/16=c/12

60=16c

c=60/16

c=15/4

Sugar:

(3/2)/16=s/12

(3/2)(12)=16s

18=16s

s=18/16

s=9/8

Vanilla:

2/16=v/12

24=16v

v=24/16

v=3/2

Eggs:

2/16=e/12

24=16e

e=3/2

Flour:

1/16=f/12

12=16f

f=3/4

Therefore, the ingredients for 12 brownies would be:

1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.

Answer:

The  probability is  

        [tex]P(Z>1.3793 ) = 0.083901[/tex]  

Step-by-step explanation:

From the question we are told that

   The  proportion proportion is  [tex]p = 0.30[/tex]

    The sample size is [tex]n = 1000[/tex]

    The  sample  proportion [tex]\r p = 0.32[/tex]

Generally the standard error is mathematically represented as

       [tex]SE = \sqrt{\frac{p (1 - p)}{ n} }[/tex]

       [tex]SE = \sqrt{\frac{ 0.30 (1 - 0.30 )}{ 1000} }[/tex]

      [tex]SE = 0.0145[/tex]

The probability that more than 32% of the respondents say they prefer the Laurier brand is mathematically represented as

        [tex]P(X > 0.32 ) = P( \frac{X - p }{ SE} > \frac{\r p - p }{ SE} )[/tex]

 Here  [tex]\frac{X - p }{SE} = Z (the \ standardized \ value \ of \ X)[/tex]

            [tex]P(X > 0.32 ) = P(Z>1.3793 )[/tex]

From the z -table   [tex]P(X > 0.32 ) = P(Z>1.3793 ) = 0.083901[/tex]

  [tex]P(Z>1.3793 ) = 0.083901[/tex]  

Using the normal distribution and the central limit theorem, it is found that there is a 0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then, the mean and the standard error are given by:

[tex]\mu = p = 0.3[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.3(0.7)}{1000}} = 0.0145[/tex]

The probability that more than 32% of the respondents say they prefer the Laurier brand is 1 subtracted by the p-value of Z when X = 0.32, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.32 - 0.3}{0.0145}[/tex]

[tex]Z = 1.38[/tex]

[tex]Z = 1.38[/tex] has a p-value of 0.9162.

1 - 0.9162 = 0.0838

0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Step-by-step explanation:

Hope it helps u mate

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mark as brainlist

The travel of the spring is it’s amplitude, which is a cosine function.

The lowest y value is -5

Multiply that by cosine of pi x time

The formula is d = -5cos(pi t)

The equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t.

We know the cosine equation for distance d:

d = acos(bt+c) + d

From the graph: a = -5, b = π

Assume the phase and vertical shift are zero.

c = 0 and d = 0

Plug all values in the function, the equation becomes:

d = -5cos(πt)

Thus, the equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ2

Answer:

$240

Step-by-step explanation:

50% = 0.5

$120 ÷ 0.5 = $240

The original price without the discount is $240.

Hope that helps.

Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

Answer:

16.64

Step-by-step explanation:

Distance between any two points (x1,y1) and (x2,y2) is given by

Distance = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

Given point

X(-3, 8) and Y (6, -6).

The distance XY will be

[tex]XY = \sqrt{(-3-6)^{2} + (8 - (-6)^{2} }\\XY = \sqrt{(-9)^{2} + (8 +6)^{2} }\\XY = \sqrt{81 + 196 }\\XY = \sqrt{277 }\\XY = 16.64[/tex]

Thus, distance between X(-3, 8) and Y (6, -6) is 16.64  , rounded to nearest tenth.

Answer:

Here we have the case where:

"one chip is eaten in 1/4 mins."

(that means unit rate, the amount of a given variable that we need to do a unit of another variable)

Then the unit rate would be:

4 chips per minute.

Or, in a more mathematical way to write this:

4 chips/min.

Now we could write this in other units, for example.

We know that 1 min = 60s.

Then we have that (1/4) min = 60s/4 = 15s.

Then we have the unit rate:

1 chip every 15 seconds, or:

(1/15) chips/second.

Now, the variable in this case is time, t  = time, let's multiply bot our unit rates by the same amount of time, and see if we have the same outcome.

Let's use t = 2 min.

1) (4chips/min)*2min = 8 chips.

2) ((1/15) chips/second)*2min

First, 2 min = 120 seconds.

((1/15) chips/second)*2min = ((1/15) chips/second)*120seconds = 8 chips.

So both unit rates are equivalent.

Answer:

Step-by-step explanation:

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Answer:

The excel function that will gibe the p-valur for overall significance of a regression has 75 observations and 5 predictors and gives an F test statistic FCal = 3.67 is given below:

F.DIST.RT(3.67,5.69)

Answer: X=-12

Right ain’t it ?

Answer:

A: 12.5 per week B= 12.75

Step-by-step explanation:

1/2 times 7 (days in a week) is 3.5. So A is 8+3.5=12.5. 7 times 5/4 is 8.75. So B is 4+8.75=12.75

Answer:

Not a function

Step-by-step explanation: