To the nearest whole foot, how many feet would it be to walk diagonally across this field? A. 42B. 50C. 65D. None of the above

To The Nearest Whole Foot, How Many Feet Would It Be To Walk Diagonally Across This Field? A. 42B. 50C.

Answers

Answer 1
[tex]\begin{gathered} d=\sqrt[]{50^2+(6x)^2} \\ d=\sqrt[]{2500+36x^2} \\ x=1 \\ d=\sqrt[]{2536} \\ d=50ft \end{gathered}[/tex]

To The Nearest Whole Foot, How Many Feet Would It Be To Walk Diagonally Across This Field? A. 42B. 50C.

Related Questions

The ship leaves at 18 40 to sail to the next port.
It sails 270 km at an average speed of 32.4 km/h
Find the time when the ship arrives.

Answers

Answer:

Step-by-step explanation:

Given:

t₁ = 18:40 or  18 h 40 min

S = 270 km

V = 32.4 km/h

____________

t₂ - ?

Ship movement time:

t = S / V = 270 / 32.4 ≈ 8.33 h = 8 h 20 min

t₂ = t₁ + t = 18 h 40 min + 8 h 20 min

40 min + 20 min = 60 min = 1 h

18 h +8 h = 26 h    =  24 h + 2 h

2 h + 1 h = 3 h

t₂ = 3:00

The ship will arrive at the destination port at 3:00 the next day.

Answer:

32.4 - 27.0 = 5.4

18.40 + 54 =

7hrs:34mins

The ship arrived at

7:34pm

There are 11 oranges, 7 apples, 9 bananas and 13 peaches in the fruit bowl. If you pick a fruit at random, what is the probability you will pick an apple or banana? (give answer as a percentage rounded to the nearest tenth) Plapple or banana)=[answer]

Answers

we get that:

[tex]\frac{7+9}{11+7+9+13}=\frac{16}{40}=\frac{2}{5}=0.4\rightarrow40\text{ \%}[/tex]

Question 2 1 Simplify. DO NOT PUT ANY SPACES IN YOUR ANSWER. Keep you answer in fraction form. -2/5t - 6+ 2/3t + 15

Answers

-2/5t - 6 + 2/3t + 15​

Combining similar terms

(-2/5t + 2/3t) + (-6 + 15)

4/15t + 9

To prepare for disinfection of hard nonporous surfaces against canine parvovirus, mix a solution of bleach in 2.5 gallons of water at the rate of ¾ cup of bleach per 1 gallon of water. What is the volume of bleach added to the 2.5 gallons of water? a. 30 fl. oz b.15 fl. oz c.1 ¾ cups d.1 ½ cups and 2 tbsp

Answers

Answer:

b. 15 fl. oz

Explanation:

From the question, we are told that 3/4 cup of bleach is needed per 1 gallon of water.

Thus:

[tex]\begin{gathered} 1\text{ gallon of water requires }\frac{3}{4}\text{ cup of bleach} \\ \implies2.5\text{ gallons will require }\frac{3}{4}\times2.5\text{ cups of bleach} \\ \frac{3}{4}\times2.5=1\frac{7}{8}\text{ cups} \end{gathered}[/tex]

Next, we represent the result in the form of the given options:

Using the standard rate of conversion: 1 cup = 8 fl. oz

[tex]\begin{gathered} 1\text{ cup}=8\text{ fl.oz} \\ \implies1\frac{7}{8}\text{ cups}=8\times1\frac{7}{8}floz=8\times\frac{15}{8}=15fl.oz \end{gathered}[/tex]

The volume of bleach added to 2.5 gallons of water is 15 fl. oz.

The ratio of the volume of two spheres is 8:27. What is the ratio of their radii?

Answers

We have that the volume of the spheres have a ratio of 8:27.

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This means that the relation between linear measures, like the radii, will be the cubic root of that ratio

If each quadrilateral below is a square, find the missing measure

Answers

ANSWER

[tex]x=11[/tex]

EXPLANATION

The figure given is a square.

Each angle in a square is 90 degrees and the diagonals bisect each angle.

This means that :

[tex]\begin{gathered} 6x-21=45 \\ \text{Collect like terms:} \\ 6x=45+21 \\ 6x=66 \\ \text{Divide through by 6:} \\ x=\frac{66}{6} \\ x=11 \end{gathered}[/tex]

That is the value of x.

Pls help ASAP!!! Ill give you 5.0

Answers

The equivalent equation of 6x + 9 = 12  is 2x + 3  = 4.

Another equivalent equation of 6x + 9 = 12 is 3x + 4.5 = 6

What are equivalent equations?

Equivalent equations are algebraic equations that have identical solutions or roots. In other words,  equivalent equations are equations that have the same answer or solution.

Therefore, the equivalent equation of 6x + 9 = 12 can be calculated as follows:

6x + 9 = 12

Divide through by 3

6x / 3 + 9 / 3 = 12 / 3

2x + 3  = 4

Therefore, the equivalent equation of 6x + 9 = 12 is 2x + 3  = 4

Another equation that is equivalent to 6x + 9 = 12 is 3x + 4.5 = 6

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Find functions f and g such that (f o g)(x) = [tex] \sqrt{2x} + 19[/tex]

Answers

We have the expression:

[tex](fog)(x)=\sqrt[]{2x}+19[/tex]

So:

[tex]g(x)=2x[/tex][tex]f(x)=\sqrt[]{x}+19[/tex]

***

Since we want to get the function g composed in the function f, and the result of this is:

[tex](fog)(x)=\sqrt[]{2x}+19[/tex]

When we replace g in f, we have to get as answer the previous expression. And by looking at it the only place where we will be able to replace values is where the variable x is located. The function f will have the "skeleton" or shape of the overall function and g will be injected in it.

From this, we can have that f might be x + 19 and g might be sqrt(2x), but the only options that are given such that when we replace g in x of f, are f = sqrt(x) + 19 and g = 2x.

Solve this system of linear equations. Separatethe x- and y-values with a comma.18x - 10y = 749x - 9y = 45

Answers

Given,

[tex]\begin{gathered} \text{The system of pair of linear equation is,} \\ 18x-10y=74\ldots\ldots\ldots\ldots\ldots.\ldots.(i) \\ 9x-9y=45\ldots\ldots\ldots..\ldots\ldots\ldots.(ii) \end{gathered}[/tex]

Multiplying equation (ii) by 2 as it make the coefficent of x in both equation equal.

[tex]\begin{gathered} 18x-10y=74\ldots\ldots\ldots\ldots\ldots.\ldots.(i) \\ 18x-18y=90\ldots\ldots\ldots..\ldots\ldots\ldots.(iii) \\ \end{gathered}[/tex]

Substracting equation (i) from equation (iii) then we get,

[tex]\begin{gathered} 18x-18y-(18x-10y)=90-74 \\ 18x-18y-18x+10y=16 \\ -8y=16 \\ y=-2 \end{gathered}[/tex]

The value of y is -2.

Substituting the value of y in equation (i) then,

[tex]\begin{gathered} 18x-10y=74 \\ 18x+20=74 \\ 18x=54 \\ x=3 \end{gathered}[/tex]

Hence, the solution of the linear pair (x, y) is (3, -2).

change this standard form equation into slope intercept form. 4x-5y= -17

Answers

The slope-intercept form is

[tex]y=mx+b[/tex]

We have

[tex]4x-5y=-17​[/tex]

so we need to isolate the y

[tex]-5y=-4x-17[/tex][tex]y=\frac{-4}{-5}+\frac{-17}{-5}[/tex]

We simplify

[tex]y=\frac{4}{5}x+\frac{17}{5}[/tex]

ANSWER

The equation in slope-intercept form is

[tex]y=\frac{4}{5}x+\frac{17}{5}[/tex]

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 0, B prime at 2, negative 2, C prime at 2, negative 5, D prime at 4, negative 3.

Part B: Are the two figures congruent? Explain your answer.

Answers

The two figures ABCD and A'B'C'D' are congruent .

In the question ,

it is given that the coordinates of the figure ABCD are

A(-4,4)  ,  B(-2,2) , C(-2,-1) , D(-4,1) .

Two transformation have been applied on the figure ABCD ,

First transformation is reflection on the y axis .

On reflecting the points A(-4,4)  ,  B(-2,2) , C(-2,-1) , D(-4,1) on the y axis we get the coordinates of the reflected image as

(4,4) , (2,2) , (2,-1) , (4,1) .

Second transformation is that after the reflection the points are translated 4 units down .

On translating the points (4,4) , (2,2) , (2,-1) , (4,1) ,  4 units down ,

we get ,

A'(4,0) , B'(2,-2) , C'(2,-5) , D'(4,-3).

So , only two transformation is applied on the figure ABCD ,

Therefore , The two figures ABCD and A'B'C'D' are congruent .

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Last year, Bob had $10,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 8% simple interest per year. After one year, he received a total of $820 in interest. How much did he invest in each account?

Answers

Given:

The total amount is P = $10,000.

The rate of interest is r(1) = 10% 0.10.

The other rate of interest is r(2) = 8%=0.08.

The number of years for both accounts is n = 1 year.

The total interest earned is A = $820.

The objective is to find the amount invested in each account.

Explanation:

Consider the amount invested for r(1) as P(1), and the interest earned as A(1).

The equation for the amount obtained for r(1) can be calculated as,

[tex]\begin{gathered} A_1=P_1\times n\times r_1 \\ A_1=P_1\times1\times0.1 \\ A_1=0.1P_1\text{ . . . . .(1)} \end{gathered}[/tex]

Consider the amount invested for r(2) as P(2), and the interest earned as A(2).

The equation for the amount obtained for r(2) can be calculated as,

[tex]\begin{gathered} A_2=P_2\times n\times r_2 \\ A_2=P_2\times1\times0.08 \\ A_2=0.08P_2\text{ . . . . . (2)} \end{gathered}[/tex]

Since, it is given that the total interest earned is A=$820. Then, it can be represented as,

[tex]A=A_1+A_2\text{ . . . . . (3)}[/tex]

On plugging the obtained values in equation (3),

[tex]820=0.1P_1+0.08P_2\text{ . . . . .(4)}[/tex]

Also, it is given that the total amount is P = $10,000. Then, it can be represented as,

[tex]\begin{gathered} P=P_1+P_2 \\ 10000=P_1+P_2 \\ P_1=10000-P_2\text{ . }\ldots\ldots.\text{. .(3)} \end{gathered}[/tex]

Substitute the equation (3) in equation (4).

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Ben has a collection of 15 coins and quarters and dimes there's seven quarters in the collection. describe ratio that compares the coins that compare the whole coin collection part of it then write the ratio and at least two different ways

Answers

Since the collection contains quarters and dimes, we are going to compare the whole collection to the quarters (7),

We can represent a ratio, like:

15:7 or 15/7

find the volume of a right circular cone that has a height of 4.3m and a base with a circumference of 17.6. round your answer to the nearest tenth

Answers

Answer:

Explanation:

The volume of a right circular cone can be found using the below formula;

[tex]V=\pi\times r^2\times\frac{h}{3}[/tex]

where V = volume of the cone

r = radius of the base

h = height of the cone ne

A recent survey asked respondents how many hours they spent per week on the internet. Of the 15 respondents making$2,000,000 or more annually, the responses were: 0,0,0,0,0, 2, 3, 3, 4, 5, 6, 7, 10, 40 and 70. Find a point estimate of thepopulation mean number of hours spent on the internet for those making $2,000,000 or more.

Answers

Given

The total frequency is 15 respondents

The responses were: 0,0,0,0,0, 2, 3, 3, 4, 5, 6, 7, 10, 40 and 70

Solution

The population mean is the sum of all the values divided by the total frequency .

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Solve the equation for w.

4w + 2 + 0.6w = −3.4w − 6

No solution

w = 0

w = 1

w = −1

Answers

Answer:

w = -1

Step-by-step explanation:

Given equation:

[tex]4w + 2 + 0.6w=-3.4w-6[/tex]

Add 3.4w to both sides:

[tex]\implies 4w + 2 + 0.6w+3.4w=-3.4w-6+3.4w[/tex]

[tex]\implies 4w + 2 + 0.6w+3.4w=-6[/tex]

Subtract 2 from both sides:

[tex]\implies 4w + 2 + 0.6w+3.4w-2=-6-2[/tex]

[tex]\implies 4w +0.6w+3.4w=-6-2[/tex]

Combine the terms in w on the left side of the equation and subtract the numbers on the right side of the equation:

[tex]\implies 8w=-8[/tex]

Divide both sides by 8:

[tex]\implies \dfrac{8w}{8}=\dfrac{-8}{8}[/tex]

[tex]\implies w=-1[/tex]

Therefore, the solution to the given equation is:

[tex]\boxed{w=-1}[/tex]

Given that,

→ 4w + 2 + 0.6w = -3.4w - 6

Now the value of w will be,

→ 4w + 2 + 0.6w = -3.4w - 6

→ 4.6w + 2 = -3.4w - 6

→ 4.6w + 3.4w = -6 - 2

→ 8w = -8

→ w = -8/8

→ [ w = -1 ]

Hence, the value of w is -1.

What is the equation of the line that is parallel to the graph of y = 2x - 5 and passes through the point (8, 10)?

Answers

We know that the equation of a line is given by

[tex]y-y_1=m(x-x_1)[/tex]

To find it we need the slope m and a point that the line passes thorugh. In this case we have the point (8,10) but we don't know the slope. What we know is that the line we are looking for is parallel to the line

[tex]y=2x-5[/tex]

We also know that for two lines to be parallel they have the same slope. Then, if we fin the slope of the line y=2x-5, we have the slope of the line we are looking for. To find the slope of the line y=2x-5 we note that it is written in the slope-intercept form

[tex]y=mx+b[/tex]

From this we know that the slope is multiplying the x variable when it is written in that form. Hence m=2.

Then the line we are looking for has an slope of 2 and passes through the point (8,10). Pluggin the values in the equation of a line we have.

[tex]y-10=2(x-8)[/tex]

Writting it in the slope intercept form we have

[tex]\begin{gathered} y-10=2(x-8) \\ y-10=2x-16 \\ y=2x-16+10 \\ y=2x-6 \end{gathered}[/tex]

Then the line parallel to y=2x-5 and passes through the point (8,10) is

[tex]y=2x-6[/tex]

Give a number in scientific notation that isbetween the two numbers on a number line.71 X 103 and 71,000,000

Answers

For this problem we have the following two numbers

[tex]71x10^3[/tex][tex]71000000[/tex]

Let's convert the two numbers with scientific notation

[tex]71x10^3=71000=7.1x10^4[/tex][tex]71000000=7.1x10^7[/tex]

Now we just need to find a number between the two given we know that:

[tex]7.1x10^4<7.1x10^7[/tex]

The final answer for this case would be any number between these two numbers and it could be:

[tex]7.1x10^6[/tex]

also it could be:

[tex]9.5x10^5[/tex]

Or any number between the two given

Answer:

The answer is B,D, And F

Step-by-step explanation:

7.1 × 103 = 7,100

7.1 × 105 = 710,000

Because 7,100 < 710,000 < 71,000,000 then 7.1 × 105 falls between 7.1 × 103 and 71,000,000

9. The Elite Vacuum Company has determined its cost for making vacuums to beC = 24V + 1000, where C is the cost in dollars and V is the number of vacuums.If the cost must be between $49,000 and $121,000, how many vacuums can they makeper week? (You must set up and solve an inequality.)

Answers

We are given the relationship between the cost in dollars (C) and the number of vacuums (V) to be:

[tex]C\text{ = 24V + 1000}[/tex]

From the constraint, we have that the cost(C) must be greater than $49000 and less than $121000

Writing this as inequality:

[tex]\begin{gathered} 24V\text{ + 1000 }\ge\text{ 49000 } \\ 24V\text{ + 1000 }\leq\text{ 121000} \end{gathered}[/tex]

Solving the linear inequalities for V:

[tex]\begin{gathered} 24V\text{ + 1000 }\ge\text{ 49000} \\ 24V\text{ }\ge\text{ 49000 - 1000} \\ 24V\text{ }\ge\text{ 48000} \\ \text{Divide both sides by 24} \\ \frac{24V}{24}\text{ }\ge\text{ }\frac{48000}{24} \\ V\text{ }\ge\text{ 2000} \end{gathered}[/tex]

Similarly for the second inequality:

[tex]\begin{gathered} 24V\text{ + 1000 }\leq\text{ 121000} \\ 24V\text{ }\leq121000\text{ - 1000} \\ 24V\text{ }\leq\text{ 120000} \\ \text{Divide both sides by 24} \\ \frac{24V}{24}\text{ }\leq\text{ }\frac{120000}{24} \\ V\text{ }\leq5000 \end{gathered}[/tex]

Hence, the number of vacuums they can make per week can be between 2000 and 5000 or in inequality:

[tex]2000\text{ }\leq\text{ V }\leq\text{ 5000}[/tex]

Answer:

Between 2000 and 5000 vacuums

(6 x 10^-2)(1.5 x 10^-3 + 2.5 x 10^-3)1.5 x 10^3

Answers

Given the expression:

[tex]\left(6*10^{-2}\right)\left(1.5*10^{-3}+2.5*10^{-3}\right)1.5*10^3[/tex]

Let's simplify the expression.

To simplify the expression, we have:T

[tex]\begin{gathered} (6*10^{-2})(1.5*10^{-3}+2.5*10^{-3})1.5*10^3 \\ \\ =(6*10^{-2})(4.0*10^{-3})1.5*10^3 \\ \\ =(6*4.0*10^{-2-3})1.5*10^3 \\ \\ =(24.0*10^{-5})1.5*10^3 \end{gathered}[/tex]

Solving further:

Apply the multiplication rule for exponents.

[tex]\begin{gathered} 24.0*1.5*10^{-5+3} \\ \\ =36*10^{-2} \\ \\ =0.36 \end{gathered}[/tex]

ANSWER:

[tex]0.36[/tex]

which graph show the solution set for -1.1×+6.4>-1.3

Answers

Problem

-1.1x + 6.4 > - 1.3

Concept

Solve for x by collecting like terms.

The half-life of radium is 1690 years. If 70 grams are present now, how much will be present in 570 years?

Answers

Solution

Given that

Half life is 1690 years.

Let A(t) = amount remaining in t years

[tex]\begin{gathered} A(t)=A_0e^{kt} \\ \\ \text{ where }A_{0\text{ }}\text{ is the initial amount} \\ \\ k\text{ is a constant to be determined.} \\ \end{gathered}[/tex]

SInce A(1690) = (1/2)A0 and A0 = 70

[tex]\begin{gathered} \Rightarrow35=70e^{1690k} \\ \\ \Rightarrow\frac{1}{2}=e^{1690k} \\ \\ \Rightarrow\ln(\frac{1}{2})=1690k \\ \\ \Rightarrow k=\frac{\ln(\frac{1}{2})}{1690} \\ \\ \Rightarrow k=-0.0004 \end{gathered}[/tex]

So,

[tex]A(t)=70e^{-0.0004t}[/tex][tex]\Rightarrow A(570)=70e^{-0.0004(570)}\approx55.407\text{ g}[/tex]

Therefore, the answer is 55.407 g

Suppose that 27 percent of American households still have a traditional phone landline. In a sample of thirteen households, find the probability that: (a)No families have a phone landline. (Round your answer to 4 decimal places.) (b)At least one family has a phone landline. (Round your answer to 4 decimal places.) (c)At least eight families have a phone landline.

Answers

Answer:

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

Explanation:

To answer these questions, we will use the binomial distribution because we have n identical events (13 households) with a probability p of success (27% still have a traditional phone landline). So, the probability that x families has a traditional phone landline can be calculated as

[tex]\begin{gathered} P(x)=nCx\cdot p^x\cdot(1-p)^x \\ \\ \text{ Where nCx = }\frac{n!}{x!(n-x)!} \end{gathered}[/tex]

Replacing n = 13 and p = 27% = 0.27, we get:

[tex]P(x)=13Cx\cdot0.27^x\cdot(1-0.27)^x[/tex]

Part (a)

Then, the probability that no families have a phone landline can be calculated by replacing x = 0, so

[tex]P(0)=13C0\cdot0.27^0\cdot(1-0.27)^{13-0}=0.0167[/tex]

Part (b)

The probability that at least one family has a phone landline can be calculated as

[tex]\begin{gathered} P(x\ge1)=1-P(0) \\ P(x\ge1)=1-0.167 \\ P(x\ge1)=0.9833 \end{gathered}[/tex]

Part (c)

The probability that at least eight families have a phone landline can be calculated as

[tex]P(x\ge8)=P(8)+P(9)+P(10)+P(11)+P(12)+P(13)[/tex]

So, each probability is equal to

[tex]\begin{gathered} P(8)=13C8\cdot0.27^8\cdot(1-0.27)^{13-8}=0.0075 \\ P(9)=13C9\cdot0.27^9\cdot(1-0.27)^{13-9}=0.0015 \\ P(10)=13C10\cdot0.27^{10}\cdot(1-0.27)^{13-10}=0.0002 \\ P(11)=13C11\cdot0.27^{11}\cdot(1-0.27)^{13-11}=0.00002 \\ P(12)=13C12\cdot0.27^{12}\cdot(1-0.27)^{13-12}=0.000001 \\ P(13)=13C13\cdot0.27^{13}\cdot(1-0.27)^{13-13}=0.00000004 \end{gathered}[/tex]

Then, the probability is equal to

P(x≥8) = 0.0093

Therefore, the answers are

(a) P = 0.0167

(b) P = 0.9833

(c) P = 0.0093

the equation 5x+7=4x+8+x-1 is true for all real numbers substitute a few real numbers for x to see that this is so and then try solving the equation

Answers

The equation  5x+7 = 4x+8+x-1 is true for all real numbers.

Solution for the equation is 5x + 7 = 5x + 7.

Given,

The equation;  5x+7 = 4x+8+x-1

We have to find the solution for this equation.

Here,

5x + 7 = 4x + 8 + x - 1 = 5x + 7

The equation is true for all real numbers;

Lets check;

x = 6

 5 x 6+7 = 4 x 6 + 8 + 6 - 1

30 + 7 = 24 + 13

37 = 37

x = 15

 5 x 15 + 7 = 4 x 15 + 8 + 15 - 1

75 + 7 = 60 + 22

82 = 82

That is,

The equation 5x + 7 = 4x + 8 + x - 1  is true for all real numbers.

The solution for the equation is  5x + 7 = 5x + 7.

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Chloe deposits $2,000 in a money market account. The bank offers a simple interest rate of 1.2%. How much internet she earn in 10 years?

Answers

Given data:

deposits = $2,000

simple interest rate =1.2%

time =10 years

The formula to find the amount is,

[tex]A=\frac{\text{p}\cdot\text{n}\cdot\text{r}}{100}[/tex][tex]\begin{gathered} A=\frac{2000\cdot10\cdot1.2}{100} \\ A=\frac{24000}{100} \\ A=\text{ 240} \end{gathered}[/tex]The intrest she earn in 10 years is $240.

The sum of a number and -4 is greater than 15. Find the number

Answers

x > 19

Explanation:

Let the number = x

The sum of a number and -4 = x + (-4)

The sum of a number and -4 is greater than 15:

x + (-4) > 15

Multiplication of opposite signs gives negative number:

x - 4 > 15

Collect like terms:

x > 15 + 4

x > 19

11. Suppose that y varies inversely with x. Write a function that models the inverse function.x = 1 when y = 12- 12xOy-y = 12x

Answers

We need to remember that when two variables are in an inverse relationship, we have that, for example:

[tex]y=\frac{1}{x}[/tex]

In this case, we have an inverse relationship, and we have that when x = 1, y = 12.

Therefore, we have that the correct relationship is:

[tex]y=\frac{12}{x}[/tex]

In this relationship, if we have that x = 1, then, we have that y = 12:

[tex]x=1\Rightarrow y=\frac{12}{1}\Rightarrow y=12[/tex]

Therefore, the correct option is the second option: y = 12/x.

Suppose that y varies inversely with x, and y = 5/4 when x = 16.(a) Write an inverse variation equation that relates x and y.Equation: (b) Find y when x = 4.y =

Answers

In general, an inverse variation relation has the form shown below

[tex]\begin{gathered} y=\frac{k}{x} \\ k\to\text{ constant} \end{gathered}[/tex]

It is given that x=16, then y=5/4; thus,

[tex]\begin{gathered} \frac{5}{4}=\frac{k}{16} \\ \Rightarrow k=\frac{5}{4}\cdot16 \\ \Rightarrow k=20 \end{gathered}[/tex]

Therefore, the equation is y=20/x

[tex]\Rightarrow y=\frac{20}{x}[/tex]

2) Set x=4 in the equation above; then

[tex]\begin{gathered} x=4 \\ \Rightarrow y=\frac{20}{4}=5 \\ \Rightarrow y=5 \end{gathered}[/tex]

When x=4, y=5.

Convert 7 liters into gallons using measurement conversion 1 liter= 1.0567 quarts. Round to two decimals

Answers

Convert 7 liters into gallons

We have the measurement conversion 1 liter= 1.0567 quarts

and the gallons = 4 quarts

So, 7 liters = 7 * 1.0567 quarts = 7.3969 quarts

We will convert from the quarts to gallons as follows:

1 gallons = 4 quarts

x gallons = 7.3969 quarts

so, the value of x will be:

[tex]x=\frac{7.3969}{4}=1.849225[/tex]

Round to two decimals

so, the answer will be 1.85 gallons

Consider the function f(x) =cotx. Which of the following are true? 2 answers

Answers

Graphing the function f(x) = cot(x) we have the following

We can observe that the function cot(x) has an asymptote at x = 0, and that it has a period of π.

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