|5−4r|=17 find r Answer in as many ways as possible IF you don't answer the question and fool around I will report you

Answer:

Step-by-step explanation:

Given the complex number [tex]\frac{-3+4i}{1+2i}[/tex] calculated by Sydney porter, In order to know the value he should have obtained if he hadn't accidentally miss the minus sign, we will have to rationalize the original complex function.

To rationalize, we will multiply the numerator and denominator if the function by the conjugate of its denominator as shown;

[tex]\frac{-3+4i}{1+2i} *\frac{1-2i}{1-2i}\\= \frac{(-3+4i)(1-2i)}{(1+2i)(1-2i)}\\= \frac{-3+6i+4i-8i^{2} }{1-2i+2i-4i^{2} } \\= \frac{-3+10i+8}{1+4} \\note\ that\ i^{2} = -1\\= \frac{5+10i}{5} \\= \frac{5}{5} + \frac{10i}{5} \\= 1 +2i[/tex]

He should have obtained 1+2i if he hadn't misses the sign

Answer:

Total number of choices with a straw:  12

Total number of choices without a straw: 12

Total number of choices: 24

Step-by-step explanation:

Taj has a choice of:

This made a total of 3*2*2: 12 different choices

if the drink can be served with or without a straw, he choices are doubled, making a total of 2*12 = 24

Answer:

B

Step-by-step explanation:

Well it can't be the bottom 2 because those are for range and this says to find the domain. How to find the domain you look at the first point and the last point. So in this case it would be -7 and 4 cause that's where the two points are. Does that make sense?  

Hope I helped you!

Answer:

4 times greater

Step-by-step explanation:

Prism A

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 5*6+ 6*7+ 5*7)

SA = 2(30+42+35)

SA = 2(107)

SA =214

Prism B

SA = 2 (lw+wh+lh)  where l is length w is width and h is height

SA = 2 ( 10*12+ 12*14+ 10*14)

SA = 2(120+168+140)

SA = 2(428)

SA =856

Robert is not correct

856/214 =4

Prism B is 4 times greater

Answer:

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Step-by-step explanation:

To find the surface area of a rectangular prism, use this formula:

[tex]A=2(wl+hl+hw)[/tex]

Where w is the width, h is the height, and l is the length.

Substitute the values given for Prism A and Prism B into the formula to find each prism's surface area:

Prism A:

[tex]A=2(5 * 6+6 * 7+5 * 7)\\A = 2 (30 + 42 + 35)\\A = 214[/tex]

Prism B:

[tex]A=2(10*12+12*14+14*10)\\A = 2 (120 + 168 + 140)\\A = 856[/tex]

Prism B's surface area is 4 times Prism A's.

The surface area of Prism A is 214 square centimeters.

The surface area of Prism B is 856 square centimeters.

Hey there! I'm happy to help!

In a 30-60-90 triangle, the shorter leg is always 1/2 of the hypotenuse. This can be proven using many different methods and there a lot of interesting videos out there about it. This is useful in geometry, trigonometry, and more.

So, if we know that the shortest leg is 12, we can make the following equation. We will have h represent the hypotenuse.

1/2h=12

Now, we simply divide both sides by 1/2 (which is the same as multiplying both sides by two.

h=24

Therefore, the hypotenuse is C) 24.

I hope that this helps! Have a wonderful day!

Answer:

less likely

Step-by-step explanation:

Step-by-step explanation:

Let's find the equation of the line first.

x + 2y = 4

2y = -x + 4

y = -1/2 x + 2

Graph this line first. Now, we have to find which side of the line we will shade. Let's plug in (0, 0) to the original inequality. We get 0 + 0 ≤ 4, which is a true statement, so we will shade below the line. We will keep the line solid because the comparison is ≤, meaning all the points on the line are also solutions to the inequality. Hope this helps!

Answer:

You had to pay $30.69 after the sales tax factored in.

Step-by-step explanation:

First step is to find 7% of $28.68.

The answer to that is the sales tax, therefore making the sales tax $2.01.

Finally, you have to add $2.01 to $28.68 to get a total of $30.69, your final answer.

A.)

[tex] \sqrt{5 {x}^{2} } + 15x[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is equivalent to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

Equivalent value or dated value refers to the value of an original quantity at a specific point in time. The equivalent payment is made up of the initial amount plus any interest accrued up to the dated value date. When money is due or payable at separate times, it is impossible to compare them immediately.

Given hence solving [tex]\sqrt{5x} * \sqrt{x+3}[/tex] equation by multiplying both terms

=[tex]\sqrt{(5x*x+5x*3}[/tex]

=[tex]\sqrt{5x^{2} +15x}[/tex]

Hence [tex]\sqrt{5x} * \sqrt{x+3}[/tex] is similar to [tex]\sqrt{5x^{2} +15x}[/tex] by solving equation we will get back given equation term.

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Answer:

1/3

Step-by-step explanation:

8/12 - 4 /12=.  4/12 = 1/3. =. .33

Answer:

112°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

16x is an exterior angle of the triangle, thus

16x = 7x - 1 + 8x + 8, that is

16x = 15x + 7 ( subtract 15x from both sides )

x = 7

Thus

16x = 16 × 7 = 112

The exterior angle is 112°

Answer:

− 20 x ^2 + 5 x − 6

Step-by-step explanation:

Answer:

[tex]-20x^2+5x-6\\[/tex]

Step-by-step explanation:

Start by removing the grouping symbols (parentheses) using the sign rules:

[tex](-5x^2+2x+6)-(9x^2+2x+9)+(-6x^2+5x-3)=\\=-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3[/tex]

Then we re-order and combine like terms:

[tex]-5x^2+2x+6-9x^2-2x-9-6x^2+5x-3=\\=-5x^2-9x^2-6x^2+2x-2x+5x+6-9-3=\\=-20x^2+5x-6[/tex]

Answer:

<2 and <4 = 74 degrees

Step-by-step explanation:

<7=<1, alt exterior angles

<1=<3, opposite angles

<1+<2= 180

since angle one is 106 just subtract 106 from 180 and you get 74= <2

<2 and <4 are opposite angles so they are congruent

therefore, <2 and <4 = 74 degrees.

Answer:

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

Step-by-step explanation:

Start by replacing f(x) by the variable "y" and solving for x in the equation:

[tex]f(x)=\frac{x}{x-2} \\y=\frac{x}{x-2}\\(x-2)\,y=x\\xy-2y=x\\xy-x=2y\\x(y-1)=2y\\x=\frac{2y}{y-1}[/tex]

Now do the final replacement using the inverse function notation, and replacing "y" with "x":

[tex]x=\frac{2y}{y-1} \\f^{-1}(x)=\frac{2x}{x-1}[/tex]

The inverse of the function f(x)= x/x-2 is; f-¹(x) = 2x/(x-1)

Since the function can be rewritten as;

By making x the subject of the function;

By swapping x and y; we then have;

The inverse function is therefore; f-¹(x) = 2x/(x-1)

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Answer:

do you still need the answer?

Step-by-step explanation:

Answer:

its always wrong

Step-by-step explanation:

any variable always has a holder of 1

so 01b doesnt equal 4

Answer:

coz it will be undefined

Step-by-step explanation:

coz it will be UNDEFINED

4/0=undefined

Answer:

360 degrees

Step-by-step explanation:

The measure of the arc ABC is 230°

In Mathematics, an arc means, a part of a curve or the portion of a circle. The straight line joining the ends of the arc is called the chord of the circle.

Given is a circle we need to find the measure of the arc ABC,

So, according to the properties of a circle,

∠D = 1/2(arc ABC - arc AC)

Arc AC = 360° - arc ABC

Therefore,

50° = 1/2(arc ABC - 360° + arc ABC)

100° = -360° + 2 arc ABC

460° = 2 arc ABC

arc ABC = 230°

Hence the measure of the arc ABC is 230°

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Answer: 2 7/8 divided by 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 7/8 divided by 1/12

Answer: There is a positive linear association

Step-by-step explanation:

The best fitted statement is

There is a positive linear association.

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association).

If one variable increases roughly at the same rate as the other variables change by one unit, the relationship is said to be linear.

The scatter plot below shows the average number of customers who visit a food truck per day, depending on the number of days the food truck stays in the same location.

As, If the slope is positive, then there is a positive linear relationship, i.e., as one increases, the other increases.

If the slope is negative, then there is a negative linear relationship, i.e., as one increases the other variable decreases.

Here, the slope seems to be positive.

Thus, this is positive linear Association.

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Answer:

3

Step-by-step explanation:

Answer:

i think the answer is 1.2 or 1.7

you first need to add together all of the children and then divide by 6

Answer:

2m/s

Step-by-step explanation:

Speed=distance/time taken

=14/7

=2m/s

Answer: [tex]\$3834[/tex]

Step-by-step explanation:

Three years ago Paulo's monthly salary was [tex]\$2783[/tex]

Twelve years from now Paulo's salary will be [tex]\$8038[/tex]

Suppose current salary is [tex]\$ x[/tex]

and  Yearly increment is [tex]\$y[/tex]

So,

[tex]\Rightarrow x-3y=2783\quad \ldots(i)[/tex]

and [tex]\Rightarrow x+12y=8038\quad \ldots(ii)[/tex]

From (i) and (ii) we get

[tex]\Rightarrow 15y=5255[/tex]

[tex]\Rightarrow y=350.33[/tex]

and [tex]x=2783+3\times 350.33[/tex]

[tex]x=3834[/tex]

So, monthly salary this year is [tex]\$3834[/tex]

Answer:

60 degrees

Step-by-step explanation:

The measure of the angle ACE is 60 degrees.

An arc is simply a part of the circumference of a circle or other curve.

as we have arc AE is 120 degrees.

Then by the properties of the interior and the exterior arc, arc BD, which is angle ACE is 120/2=60 degrees.

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Answer:

add -15 and 9

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

in statistics, the correlation coefficient r measures the strength and direction of a linear relationship between two variables on a scatterplot. The value of r is always between +1 and –1. To interpret its value, see which of the following values your correlation r is closest to: Exactly –1.

hope this help

Answer:

the first graph

Step-by-step explanation:

Answer:

14.212 feet

Step-by-step explanation:

Pythagorean Theorem.

sqrt(9^2+11^2) = 14.212

Answer:

b

{b}^{2} [/tex]

Hey!!!

Here's your answer:

<A=7x+40

<B=60 degree

7x+40+60=180( sum of angle in straight line)

or,7x+100=180

or,7x=180-100

or,7x=80

or,X=80/7

X=11.42

Now,

Replacing value,

<A=7x+40

=7*11.42+40

=79.94+40

= 119.94 degree

<B=60 degree

<C=<A[ being vertically opposite angles]

<C=119.94 degree

<D=<B[being vertically opposite angles]

<D=60 degree

<W=<A[ being corresponding angles]

<W=119.94 degree

<X=<B[being corresponding angles]

<X=60 degree

<Y=<W[being vertically opposite angles]

<Y=119.94 degree

<Z=<X[being vertically opposite angles]

<Z=60 degree.

Hope it will help you

Good luck on your assignment