Find its inverse, and state the domain and range.

Answer:

x = 122

Step-by-step explanation:

[tex] \because \: QS + QR = RS \\ \therefore \: 87 + 27 = x - 8 \\ 114 = x - 8 \\ 114 + 8 = x \\ 122 = x[/tex]

Since both angles are complementary, then Angle 1 + Angle 2 = 90°

Using algebra,

let Angle 2 be X and Angle 1 be (2X + 21°)

Now we have an equation of,

( 2X + 21 ) + X = 90°

step 1 : open up the brackets first.

step 2 : bring 21° to the other side (rmb to flip the sign)

step 3 : bring the 3 over n it becomes " ÷3 "

( 2X + 21° ) + X = 90°

2X + 21° + X = 90°

3X = 90° - 21°

X = ( 90° - 21° ) ÷ 3

= 23°

Sub X=23° into Angle 1 ( 2X + 21° ),

2(23°) + 21° = 67°

Therefore,

Angle 1 = 67°

i hope my solution helps :))

Answer:

48 miles

Step-by-step explanation:

run -- 4 hrs at 8 mph = 4 • 8 = 32 miles

walk -- 8 hrs at 2 mph = 8 • 2 = 16 miles

32 + 16 = 48 miles

Answer: 68,719,476,736 different ways to answer the quiz.

Step-by-step explanation:

We have 20 questions.

4 of them, have two options (true and false)

and 16 of them have 4 options (a, b, c and d.)

The total number of different ways of answering this quiz is equal to the product of the number of options for each case, then we have:

Combinations = (2^4)*(4^16) = 68,719,476,736 different ways to answer the quiz.

Los números reales están representados por números racionales e irracionales.

Un número racional es un número real que se puede formar dividiendo dos números enteros (un número entero es un número sin parte fraccionaria). La palabra viene de "ratio".

Un número irracional es un número real que NO se puede hacer dividiendo dos números enteros (un número entero no tiene parte fraccionaria). "Irracional" significa "sin relación", por lo que no es un número racional.

¡Espero eso ayude!

Answer:

qualitative oberservations

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

makes sense

Answer:

It goes in one direction and indefinitely.

It consist one endpoint.

Step-by-step explanation:

A ray is a straight line that emerges out of a start point and moves in a direction. The line begins with the start point and moves in one direction. The start point and the other side are named with capital letters. It is denoted by writing the two letters and placing an arrow above the letters. There is no endpoint in a ray.

Answer:

  0.1497

Step-by-step explanation:

1×.1 +4×.01 +9×.001 +7×.0001 =

.1 +.04 +.009 +.0007 = 0.1497

Answer:

Below

I hope its not too complicated

[tex]x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]5^{\left(-x\right)}+7=2x+4\\\\\mathrm{Prepare}\:5^{\left(-x\right)}+7=2x+4\:\mathrm{for\:Lambert\:form}:\quad 1=\left(2x-3\right)e^{\ln \left(5\right)x}\\\\\mathrm{Rewrite\:the\:equation\:with\:}\\\left(x-\frac{3}{2}\right)\ln \left(5\right)=u\mathrm{\:and\:}x=\frac{u}{\ln \left(5\right)}+\frac{3}{2}\\\\1=\left(2\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)-3\right)e^{\ln \left(5\right)\left(\frac{u}{\ln \left(5\right)}+\frac{3}{2}\right)}[/tex]

[tex]Simplify\\\\\mathrm{Rewrite}\:1=\frac{2e^{u+\frac{3}{2}\ln \left(5\right)}u}{\ln \left(5\right)}\:\\\\\mathrm{in\:Lambert\:form}:\quad \frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}[/tex]

[tex]\mathrm{Solve\:}\:\frac{e^{\frac{2u+3\ln \left(5\right)}{2}}u}{e^{\frac{3\ln \left(5\right)}{2}}}=\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}:\quad u=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)\\\\\mathrm{Substitute\:back}\:u=\left(x-\frac{3}{2}\right)\ln \left(5\right),\:\mathrm{solve\:for}\:x[/tex]

[tex]\mathrm{Solve\:}\:\left(x-\frac{3}{2}\right)\ln \left(5\right)=\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right):\\\quad x=\frac{\text{W}_0\left(\frac{\ln \left(5\right)}{2e^{\frac{3\ln \left(5\right)}{2}}}\right)}{\ln \left(5\right)}+\frac{3}{2}[/tex]

Answer:

15 23

Step-by-step explanation:

Answer:

Step-by-step explanation:

11x - 6 + 15x - 8 = 90

26x - 14 = 90

26x = 104

x = 4

11(4) - 6 = 44 - 6 = 38

13y - 14 + 38= 180

13y + 24 = 180

13y = 156

y = 12

13(12) - 14 = 156 - 14=142

Answer:

A

Step-by-step explanation:

X2 + 5 = 14 - 3 = 11

This question is about how transformations can affect graphs.

First, we'll want to get rid of that -4 on the function of F.

So we can reflect the function over the y-axis and then compress it by a factor of 4 to make the graph [tex]x^2[/tex].

Then we can move the graph over to the left 3 because the c value is positive, meaning that we move the graph over to the left.

Finally, we can move the function of by [tex]\frac{2}{3}[/tex] because the d value is positive, meaning that we move the graph up.

Hope this helps.

頑張って!

Answer:

Step-by-step explanation:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Answer:

So if 16 watches is 16000 rs, then if you want to make 3200 more rs, your total from 16 watches should be 19200 (which is 16000+3200)

so the rate per watch should be 19200/16 = 1200

So it should be 1200rs/watch is the rate

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

We know that the entire angle measures 66 degrees.

Therefore, angle y plus 40 degrees must equal 66.

In an equation:

[tex]y+40=66[/tex]

To solve for y, subtract 40 from both sides:

[tex]y=26\textdegree[/tex]

So, the measure of angle y is 26 degrees.

And we're done!

Answer:

26°

Step-by-step explanation:

The angle with 66° which is shown with a red line is the sum of y and 40° so to find the value of y

we subtract 40 from 66 which gives us result as 26°.

The answer to the first one is A and the second one is D

(I took the test)

Answer:

Fist one:

A

Second one:

D

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

To solve this we need to do the operations in the brackets first. We should start with the innermost brackets. Then, we work our way outwards. To show my working out I will use an asterisk (*) for multiplication to not confuse X as a variable.

8*{[(7 + 4) * 2] - [(11 - 7) * 4]}  

= 8*{[(11) X 2] - [(4) X 4]}

= 8*{[22] - [16]}

= 8*{6}

= 48

Answer:

30 snow cones.

Step-by-step explanation:

3 snow cones per 0.5 pounds of ice

0.5 pounds of ice x 10 = 5 pounds of ice

3 snow cones X 10 = 30 snow cones.

Answer:

30

Step-by-step explanation:

0.5 pounds of ice = 3 cones.

1 pound = 6 cones.

but we need to find how much 5 pounds will make.

1 pound = 6 cones.

times both sides by 5=

5 pound= 30 cones.

Answer:

$2400

Step-by-step explanation:

60 tonnes = $1800

80 tonnes = $?

= 1800 × 80/60

= $2400

Step-by-step explanation:

$2400 to Carry 80tonnes of weight

Answer:

Step-by-step explanation:

Please brailiest

Answer:

C. the lines are perpendicular

Answer:

3/5 * 4/7 = 12/35

you can find the answer by multiplying the numerator by the other numerator and the denominator by the other denominator

[tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

To evaluate the given multiplication in its simplest form, we will find the product of the given two fractions.

First, let us write the given fractions properly

That is,

[tex]\frac{3}{5} \times \frac{4}{7}[/tex]

Now, we will carry out the multiplication operation

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{3 \times 4}{5 \times 7}[/tex]

Then, we get

[tex]\frac{3}{5} \times \frac{4}{7} = \frac{12}{35}[/tex]

(NOTE: This is the simplest form as both the numerator and the denominator do not have a common factor)

Hence, [tex]\frac{3}{5} \times \frac{4}{7}[/tex] in its simplest form is [tex]\frac{12}{35}[/tex]

Learn more here: https://brainly.com/question/13124034

Answer:

Option (2)

Step-by-step explanation:

We have to arrange the given numbers in the order from least to greatest.

Numbers are [tex]\sqrt{64},8\frac{1}{7},8.1414..., \frac{15}{2}[/tex]

1). [tex]\sqrt{64}=8[/tex]

2). [tex]8\frac{1}{7}=\frac{57}{7}=8.143[/tex]

3). 8.1414....

4). [tex]\frac{15}{2}=7.5[/tex]

Therefore, increasing order of the numbers will be,

[tex]8.143>8.1414>8>7.5[/tex]

[tex]8\frac{1}{7}>8.1414...>8>7.5[/tex]

Option (2) will be the correct option.

Step-by-step explanation:

x + x + y + y + 3(2 + 4)

= 2x + 2y + 3(6)

= 2x + 2y + 18

Answer:

196.88 euros

Step-by-step explanation:

Divide 252 by 1.28

252/1.28

= 196.88 euros

Answer:

b

Step-by-step explanation:

8