What is the translation from quadrilateral IJK to
quadrilateral I'J’K’

Answer:

219

Step-by-step explanation:

do total minus base fee which is

218.28-18.99=199.29

and than

199.29(which is money paid on miles) divided by 91. which is 219

Answer:

64π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

   = π × 8²

   = 64π units²

Answer:

y=3x+5

Step-by-step explanation:

Answer:

What is the question

Step-by-step explanation:

Answer:

[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-3x[/tex]

[tex]f(x)=y[/tex]

[tex]y=2x^2-3x[/tex]

Switch variables.

[tex]x=2y^2-3y[/tex]

Solve for y.

Multiply both sides by 8.

[tex]8x=16y^2-24y[/tex]

Add 9 on both sides.

[tex]8x+9=16y^2-24y+9[/tex]

Take the square root on both sides.

[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]

Add 3 on both sides.

[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]

Divide both sides by 4.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]

Simplify.

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]

[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]

Inverse y = [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]

Answer:

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Step-by-step explanation:

[tex] f^{-1}(x) = 2x^2 - 3x [/tex]

Change function notation to y.

[tex] y = 2x^2 - 3x [/tex]

Switch x and y.

[tex] x = 2y^2 - 3y [/tex]

Solve for y.

[tex] 2y^2 - 3y = x [/tex]

Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.

[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]

1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.

Add 9/16 to both sides to complete the square.

[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]

Find common denominator on right side.

[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]

If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]

[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]

Simplify.

[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

Back to function notation.

[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]

P + 127 = 550        P = 423

Answer:

P = 423  

P + 127 = 550

Step-by-step explanation:

Answer:

-9.6

Step-by-step explanation:

[tex]2\frac{2}{5} =2.40\\-\frac{1}{4} =-0.25[/tex]

If change them into decimals it looks like that.

Then all you have to do is use standard calculator to find the answer.

[tex]\frac{2.40 }{-0.25} =-9.6[/tex]

Answer:9 and 3/8  

Step-by-step explanation:

you have to make 2 and 2/5 into an improper fraction then make the -1/4 into a -4/1 then multiply across to make 48/5 then you have to reduce down to 8 and 8/5. but that cant happen so you reduce again and get 9 and 3/8.

Answer:

6 hours

Step-by-step explanation:

Denote the working time T

=> The amount of money that Kini can save after 1 working week:

A1 = 8 + 9T

=> The amount of money that Duke can save after 1 working week:

A2 = 17 + 7.5T

If Kini and Duke save the same amount of money after 1 working week, then:

A1 = A2

=> 8 + 9T = 17 + 7.5T

=> 9T - 7.5T = 17 - 8

=> 1.5T = 9

=> T = 6

=> By working 6 hours in the 1st week, Kini and Duke will save the same amount of money.

Answer:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21 %

Step-by-step explanation:

The given table represents the following:

Hatchbacks that run on Gasoline = 18

Hatchbacks that run on Diesel = 5

Total number of hatchbacks = 23

Sedan that run on Gasoline = 15

Sedans that run on Diesel = 12

Total number of sedans = 27

SUVs that run on Gasoline = 3

SUVs that run on Diesel = 7

Total number of SUVs = 23

Total number of gasoline vehicles = 36

Total number of Diesel vehicles = 24

To find:

the percentage of hatchbacks that run on gasoline

the percentage of diesel vehicles that are hatchbacks

Solution:

[tex]\text{Percentage of hatchbacks that run on gasoline = } \dfrac{\text{Number of hatchbacks on gasoline}}{\text{Total number of hatchbacks}}\times 100\\\Rightarrow \text{Percentage of hatchbacks that run on gasoline = } \dfrac{18}{23}\times 100 \approx 78\%[/tex]

[tex]\text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{\text{Number of hatchbacks that run on diesel}}{\text{Total number of diesel vehicles}}\times 100\\\Rightarrow \text{Percentage of diesel vehicles that are hatchbacks = } \dfrac{5}{24}\times 100 \approx 21\%[/tex]

So, the answer is:

The percentage of hatchbacks that run on gasoline: 78%

The percentage of diesel vehicles that are hatchbacks: 21%

Answer:

I used a calculator and this is what can up with

Step-by-step explanation:

Answer:

24.5 oz

Step-by-step explanation:

First lets calculate the blood tests, 3/4 oz of solution.

3/4 multiplied by four tests= 3. (.75*4=3)

So 3 oz of Blood Tests were performed, now lets calculate the amount of tissue staining tests for performed.

1/2 multiplied by five tests= 5/2 or 2.5 oz of tests. (.5*5=2.5)

3oz+2.5=5.5oz

Now let's subtract that amount by 30.

30-5.5=24.5

Answer:

WX = 8 mm

Step-by-step explanation:

To be able to solve for WX, we need to first find the size of angle [tex]\angle z[/tex].

We use the law of sines in the blue triangle to do such:

[tex]\frac{sin(z)}{11} =\frac{sin(133)}{20} \\sin(z)=\frac{11\,sin(133)}{20} \\sin(z)=0.4022[/tex]

Now we can use this value in the larger right angle triangle where WX is the opposite side to angle  [tex]\angle z[/tex], and the 20 mm side is the hypotenuse:

[tex]sin(z)=\frac{opposite}{hypotenuse} \\sin(z)=\frac{WX}{20}\\0.4022=\frac{WX}{20}\\WX=20\,(0.4022)\\WX=8.044\,\,mm[/tex]

which rounded to the nearest integer gives

WX = 8 mm

Answer:

Classes studied for,      Classes he did not study for       Total

Classes Passed,   23                     4                                             27

Classes Failed,       3                      2                                             5

Total,                     26,                     6                                            32

Please find attached the two way frequency table formatted on Excel spreadsheet

Step-by-step explanation:

The given information are;

The total number of classes Romain took in high school = 32

The number of classes he studied for but did not pass = 3

The total number of classes Romain passed = 27

The number of classes Romain studied for = 26

Therefore;

The number of classes Romain studied for and passed = 26 - 3 = 23

The total number of classes Romain failed = 32 - 27 = 5

The total number of classes Romain passed but did not study for = 27 - (26 - 3) = 4

The number of classes Romain did not study for and failed = 5 - 3 = 2

The total number of classes Romain did not study for =  4 + 2 = 6

Answer:

$3.60 per gallon.

Step-by-step explanation:

First, we look for the gallon of gas that will be used for a 172.5 mile trip:

30 miles = 1 gallon of gas

172.5 miles = ?

172.5 ÷ 30 = 5.75 gallons of gas

Let's find the approximate cost of gas in dollars per gallon:

5.75 gallons of gas = $20.70

1 gallon of gas = $?

20.70 ÷ 5.75 = $3.60

The answer is $3.60 per gallon.

Answer:

Volume of the sphere is 66.67r/h

Step-by-step explanation:

Hello,

Volume of a sphere = ⁴/₃πr³

Volume of a cylinder = πr²h

The volume of the cylinder = 50ft³

But the cylinder and sphere both have the same radius and height

Volume of a cylinder = πr²h

50 = πr²h

Make r² the subject of formula

r² = 50/πh

Volume of a sphere = ⁴/₃πr³

Put r² into the volume of a sphere

Volume of a sphere = ⁴/₃π(50/πh)r

Volume of a sphere = ⁴/₃ × 50r/h

Volume of a sphere = ²⁰⁰/₃ r/h

Volume of a sphere = 66.67r/h

The volume of the sphere is 66.67r/h

Answer:

x=46 degrees

Step-by-step explanation:

first find the size of the other angles(let call z and y)

the sum of a straight angle is 180:

180=130+z

z=180-130=50

y=180-96=84

sum of angles of triangle =180

x+y+z=180

50+84+x=180

x=180-134=46 degrees

Answer:

46°

Step-by-step explanation:

Angle of a line = 180°

To find the other side of 130°

The other side = 180° - 130° = 50°

To find the other side of 96°

The other side = 180° - 96° = 84°

To find x°

Total angle of a triangle = 180°

180° = x° + 50° + 84°

x° = 180° - 134°

x° = 46°

Answer:

8677

Notice that all the numbers in the sequence are divisible by 3 except 8677.

The sum of the digits must be divisible by 3.

8+6+7+7= 2+8 =10

10 isn't divisible by 3.

Answer:

False.

Step-by-step explanation:

If you multiply both sides by 1/2, you will get 1/4 at the right side.

So the correct way, to solve h, you have to divide both sides by 1/2.

Answer: C) 144

Step-by-step explanation:

The area of a pyramid can be found via lwh/3

(9*8*6)/3 = area

72*6/3 = area

432/3 = area

144 = area

Hope it helps <3

Answer:

b > 3 2/15

Step-by-step explanation:

To make it easier to solve convert the mixed fraction to a fraction.

2 3/5 = 13/5

Now, multiply the fraction by 3/3 so that you will have a common denominator.

13/5 × 3/3 = 39/15

Now you solve for b.

39/15 < b - 8/15

39/15 + 8/15 < (b - 8/15) + 8/15

47/15 < b

b > 47/15

Convert the fraction to a mixed fraction to find the answer

47/15 = 3 2/15

b > 3 2/15

Answer: D) Front - $35.00 Back - $22.50

Step-by-step explanation:

b+12.5=f

600f+450b=31,125

Substitute

600(b+12.5)+450b=31,125

Distribute

600b+7500+450b=31,125

Combine like terms

1050b+7500=31125

Subtract 7500

1050b=23625

Divide by 1050

b=22.5

Thus, the back tickets cost $22.50.

Hope it helps <3

Answer:

c

Step-by-step explanation:

Answer:

301.59

Step-by-step explanation:

your answer was almost right you just forgot to multiply by 9

Answer:

0.5333333333 or 0.53 when simplified.

Step-by-step explanation:

8/15 is simply 8÷15

15 into 8 is not possible so you annex a zero and write a decimal point.The 8 now becomes 80. We now say 80÷15,the answer is 5 because 15x5=75.The remainder is five.We annex another zero and it becomes 50,50÷15=3

I hope this helps.

Answer:

4. 16.5

Step-by-step explanation:

You solve for the hypotenuse

a^2+b^2=c^2

16^2+4^2=c^2

256+16= the square root of 272

16.5

Answer:For the first circle the radius is 2cm and for the second circle the radius is 3cm,by taking the ratio of their areas:

πr^2:πR^2

π cancels out and we are left with only r^2:R^2

r=2cm and R=3cm

Therefore r^2:R^2=2^2:3^2

=4:9

The answer is 4:9

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Given a quadratic equation in standard form ax² + bx + c = 0 (a ≠ 0 )

Then the discriminant b² - 4ac determines the nature of the roots.

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then no real roots

Given

2x² + 8x + 3 = 0 ← in standard form

with a = 2, b = 8, c = 3 , then

b² - 4ac = 8² - (4 × 2 × 3) = 64 - 24 = 40

Since b² - 4ac > 0 then 2 real and distinct roots → a

Answer:

a

Step-by-step explanation:

Answer:

20 cars

Step-by-step explanation:

Solve for x!

10000+1000x(the first company)=20000+500x (the second company)

-10000              -10000

1000x=10000+500x

-500x              -500x

500x=10000

divide by 500 on both sides,

x=20

Check!

First company: 10000+1000(20)=10000+20000=30000

Second company: 20000+500(20)=20000+10000=30000!

30000=30000

Hope this helped!

Number of cars would need to be sold to make the total pay same is 20

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context

Given,

The first company pays a salary of $10,000 plus a commission of $1,000 for each car sold

therefore the expression is

10000+1000x

where x is the number of car sold

The second pays a salary of $20,000 plus a commission of $500 for each car sold

Then the expression will be

20000+500x

How many cars would need to be sold to make the total pay the same is

10000+1000x=20000+500x

1000x-500x=20000-10000

500x=10000

x=20

Hence, the number of cars would need to be sold to make the total pay the same is 20

Learn more about Equation and Expression here

https://brainly.com/question/10413253

#SPJ2

Answer:

Step-by-step explanation:

There are 2^10 = 1024 bit strings of length 10.

a) There are 10C2 = 45 ways to have exactly two 1-bits in 10 bits

  p(2 1-bits) = 45/1024

__

b) Of the four (4) possibilities for beginning and ending bits (00, 01, 11, 10), exactly one (1) of those is 00.

  p(b0=0 & b9=0) = 1/4

__

c) There are 10C7 = 120 ways to have seven 1-bits in the bit string.

  p(7 1-bits) = 120/1024 = 15/128

__

d) ∑10Ck {for k=0 to 4} = 386 is the total of the number of ways to have 0, 1, 2, 3, or 4 1-bits in the string. If there are more than that, there won't be more 0-bits than 1-bits

  p(more 0 bits) = 386/1024 = 193/512

__

e) The string will have two 1-bits if it starts with 1 and there is a single 1-bit among the other 9 bits. There are 9 ways that can happen, among the 512 ways to have 9 remaining bits.

  p(2 1-bits | first is a 1-bit) = 9/512

Answer: The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Step-by-step explanation:

There are three measures of the center: 1) Mean   2) Median  3) Mode

Mean : Average value of the data

Mode = The most repeated value.

Median is the middlemost value in a well-ordered data.

It measures the center of the data.

Hence, the completed statement would be:

The middle value of a data set that is ordered from least to greatest is called the median. This value is a measure of center.

Answer:

First ____ is median

Second ____ is center

Step-by-step explanation:

The median is the middle value of a set of numbers, and is found in the center.