is -17 rational or irrational?

Answer:

  Making change

Step-by-step explanation:

Making change is a cash transaction. Change is cash, bills or coin, that refunds the difference between the amount due and the amount paid.

Answer:

Step-by-step explanation:

Making change:  you work entirely with cash (coins), exchanging the money in one form for the same amount of money in another form (e. g., coins to dollar bills).

Answer: B

Step-by-step explanation:

We can define the North as our positive y-axis, and the East as the positive x-axis.

The position of the airport is the (0, 0)

Then the position of the first plane is: (200 km north and 50 km east)

(50km, 200km)

The position of the other plane is: (30 km north and 100 km west)

(-100km, 30km)

Now, if we have two points (a, b) and (c, d)

The distance between those points is:

D = √( (a - c)^2 + (b - d)^2)

Then the distance between the planes is:

D = √( (50km - (-100km))^2 + (200km - 30km)^2)

D = √( (150km)^2 + (170km)^2)

D = 226.7km

Then the distance is closest to 200km, the correct option is B.

On a coordinate plane, we have:

The closest distance between the planes is 200km

The positions of the two planes is given as:

[tex]A = (50,200)[/tex] --- 50km east and 200km north

[tex]B = (-100,30)[/tex] --- 100km west and 30km north

The distance between the planes is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(50--100)^2 + (200-30)^2}[/tex]

[tex]d = \sqrt{150^2 + 170^2}[/tex]

[tex]d = \sqrt{51400}[/tex]

[tex]d = 226.72km[/tex]

From the list of given options, 200km is the closest to 226.72km

Hence, the closest distance between the planes is 200km

See attachment for the positions of both planes

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Answer:

15

*ignore this answers have to be a minimum of 20 characters.

Answer:

15

Step-by-step explanation:

1+2=3

3+3=6

6+4=10

10+5=15.

Answer:

Step-by-step explanation:

2(x-3) = 5

Distribute.

2x - 6 = 5

Eliminate the 6.

2x = 11

Divide by 2.

x = 11/2

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

We can use distributive property to simplify the equation, [tex]2x-6=5[/tex]. Now, we can move -6 to the right hand side. [tex]2x=11[/tex]. Finally, we can divide 2, [tex]x=\frac{11}{2}[/tex] or [tex]x = 5\frac{1}{2}[/tex]

Answer: 352 tickets

Step-by-step explanation:

because multiplying $20 floor tickets by 324 (how many were sold) gives you 6480

subtract from 10000

gives you 3520 (amount made from balcony)

divide by $10

Step-by-step explanation:

Let No. of balcony ticket sold be x

Rate of floor ticket = $20

Rate of balcony ticket = $10

Total Box Office collection :

324 * 20 + 10 * x = $ 10,000

X = 352 tickets

Answer:

y = 3x - 10

Step-by-step explanation:

Starting with 3x - y = 10, add y to both sides:

3x = 10 + y

Then subtract 10 from both sides:

3x - 10 = y

If you switch the sides of the equation, it can also be written as:

y = 3x - 10

Answer:

Draw a line through Q and S

Step-by-step explanation:

I took the quiz. I hope this helps :)

Answer:

8:3

Step-by-step explanation:

read the question carefully

Answer:

8/3 or 8:3

Step-by-step explanation:

It says WATER to DRINK MIX. Therefore, It can't be 3:8 or 3/8. The only thing to make sense is 8/3 or 8:3

Answer:

Mark answer C and D as correct

Step-by-step explanation:

Recall that a bisector cuts the side in two equal segments, then KH has to be half of 136 that is KH = 68

Also KHZ and HLZ are right angle triangles that share the same hypotenuse, so they are congruent triangles, which means that HL must equal KH  and therefore the full side HJ must be 68 times 2 = 136

Answer:

So we need to find the P (Z< 1.0776) which is equal to 0.86 from z- tables.

Step-by-step explanation:

Given that mean = 77.5 beats per minute  

Standard deviation= s= 11.6 beats per minute

We need to find the pulse rate of randomly selected women.

Suppose randomly selected women X= 90

The test statistic used here is

z =  (x − μ) /σ

Putting the values we get

z= 90- 77.5/ 11.6

z= 1.0776

So we need to find the P (Z< 1.0776) which is equal to 0.86

This is a supposed values of randomly selected women. Any other value can be solved in the same way.

Correct question is;

If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x

Answer:

The limit is 77

Step-by-step explanation:

Since we want to evaluate;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x

Thus, let's plug in 0 for x to get;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x = [f(5) + f(5)]/0

Since we are told that f(5) = 0, thus we now have;

[f(5) + f(5)]/0 = 0/0

Since, we have a limit of both numerator and denominator as 0,thus let's apply L'Hospital's Rule which states that: if we have an indeterminate form of 0/0 or ∞/∞, we will differentiate the numerator and differentiate the denominator and then take the limit.

Thus, applying L'Hospital's rule and using chain rule in differentiating, we have;

lim x→0 [5f'(5 + 5x) + 6f'(5 + 6x)]/1 = 5f'(5) + 6f'(5) = 11f'(5)

We are given f'(5) = 7

Thus,we now have;

11 × 7 = 77

An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions.

After evaluation, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]

Here, given that, f(5) = 0, and f '(5) = 7

We have to find,

         [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x}[/tex]

When substituting the limit x=0. We get 0/0 form which is indeterminate form.

So, Here we use L'Hospital's rule, because direct substitution of a limit yields an indeterminate form.

        [tex]\lim_{x \to 0} \frac{5*f'(5+5x)+6*f'(5+6x)}{1} =\frac{5f'(5)+6f'(5)}{1}[/tex]

Substituting the value of f '(5) = 7 in above equation.

            [tex]=\frac{5f'(5)+6f'(5)}{1}=\frac{(5*7)+(6*7)}{1}[/tex]

             = [tex]35+42=77[/tex]

Thus, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]

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Answer:

B

Step-by-step explanation:

since there are 6 bars in one box, you would multiple 6 by 12 and the answer B is just a complicated form of doing this (12 is a dozen but Baker's dozen is 13 just saying)

Answer:

20/:&&:/$/686th

Step-by-step explanation:

ggbnk

Answer:

I would expect there to be 15 boy names and 10 girl names.

Step-by-step explanation:

There is a 3 to 2 ratio between boy and girl names, and the only numbers that add up to 25 with that ratio are 15 and 10

Answer:

Step-by-step explanation:

The length of one revolution of the sprocket is ...

  C = 2πr = 2π(1.5 in) = 3π in

Then the length of 3250 revolutions is ...

  3250(3π in) = 30,630.53 in

About 30,631 inches of chain travel past the sprocket in one minute.

__

There are 12 inches in a foot, so the number of feet is ...

  30,630.53 in/(12 in/ft) = 2552.54 ft

About 2553 feet of chain travel past in one minute.

Answer:

solution

given=3a+3a^2+3a^3+....+...+...3an

first term(t1)=3a

second term(t2)=3a^2

third term(t3)=3a^3

for arithmetic mean ,d1=d2

d1=t2_t1=3a^2_3a=3a(a_1)

d2=3a^3_3a^2=3a^2(a_1)

here d1 is not equal to d2.

so it's not an arithmetic series.

Again,for geometric mean,r1=r2

r1=d2/d1=3a^2/3a=a

r2=d3/d2=3a^3/3a^2=a

here ,r1 is equal to r2.

so ,it's an geometric series.

Answer:

X = -3

Step-by-step explanation:

x - 5 = 3x + 1

-6 = 2x

x = -3

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

;)

The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.

The simplest equation used to express and solve for an unknown quantity is a linear equation in one variable. It's simple to depict graphically since it's always a straight line. A linear equation is a simple technique to convey a mathematical proposition. Unknown quantities can be represented by any variable or symbol, however, in most cases, the unknown quantity in a linear equation in one variable is represented by the variable 'x'.  A collection of basic strategies are used to solve a linear equation. To determine the final value of the unknown quantity, the variables are isolated on one side of the equation and the constants are isolated on the other side of the equation.

We are given that 5 less than a number is equivalent to 1 more than three times the number. We are asked to determine the number.

To determine the number, we will let the unknown number be x.

We will now try to make the two equal expressions, equate them to get a linear equation in one variable, and then solve the equation to find x.

First expression: 5 less than the number, that is, x - 5

Second expression: 1 more than three times the number, that is, 3x + 1.

Both the expressions are equal, so we equate them to get our equation:

x - 5 = 3x + 1

To solve for x, we do the following steps.

1. Subtract 3x from both sides of the equation:

x - 5 - 3x = 3x + 1 - 3x

or, -2x -5 = 1 (Simplifying)

2. Add 5 to both sides of the equation:

-2x - 5 + 5 = 1 + 5

or, -2x = 6 (Simplifying)

3. Divide both sides of the equation by (-2):

-2x/(-2) = 6/(-2)

or, x = -3 (Simplifying).

∴ The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.

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Answer:

19/18

Step-by-step explanation:

convert to an improper fraction

8 2/9 = 74/9

7 1/6 = 43/6

= 74/9 - 43/6

convert so denominators are equal -- multiply by 2

= 148/18 - 129/18

subtract

19/18

On subtracting two mixed numbers 8 2/9 and 7 1/6 we will get 1 1/18.

Given is subtraction operation involving two mixed numbers 8 2/9 and 7 1/6.

We need to evaluate 8 2/9 - 7 1/6.

To evaluate the expression 8 2/9 - 7 1/6, we first need to convert the mixed numbers to improper fractions, then perform the subtraction.

Step 1: Convert mixed numbers to improper fractions.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part and add the numerator. Keep the denominator the same.

Let's do this for both numbers:

8 2/9 = (8 × 9 + 2) / 9 = 74 / 9

7 1/6 = (7 × 6 + 1) / 6 = 43 / 6

Step 2: Perform the subtraction.

Now that both numbers are in the form of improper fractions, we can subtract them:

(74 / 9) - (43 / 6)

To subtract fractions, they must have the same denominator. To achieve this, we find the least common multiple (LCM) of 9 and 6, which is 18. Now, we'll rewrite the fractions with a common denominator of 18:

(74 / 9) = (74 / 9) × (2 / 2) = 148 / 18

(43 / 6) = (43 / 6) × (3 / 3) = 129 / 18

Now, the expression becomes:

(148 / 18) - (129 / 18)

Step 3: Subtract the fractions.

Subtract the numerators while keeping the common denominator:

(148 - 129) / 18 = 19 / 18

Step 4: Simplify (if necessary).

The result, 19/18, is an improper fraction. To convert it back to a mixed number, we find the whole number and the proper fraction part:

19 / 18 = 1 (1/18)

So, the final result is: 8 2/9 - 7 1/6 = 1 1/18.

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Answer:

[tex] \sqrt[4]{f} = f^{\frac{1}{4}}  [/tex]

Step-by-step explanation:

Rule:

[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]

This question:

[tex] \sqrt[4]{f} = f^{\frac{1}{4}} [/tex]

Answer:

459.81

Step-by-step explanation:

So if the TV is 469.20 take that number and subtract 2% away from it and boom you got your answer.

Answer:

d 0.5282

Step-by-step explanation:

Given the following :

Probability of getting to the bus on time = 70% = P = probability of success = 0.7

(1 - p) = probability of failure = 0.3

Number of trials(n) = 5 days

Number of sucesses (r) = atleast 4 days : >= 4

This is a binomial probability problem

P(r) = nCr × P^r × (1 - P)^(n - r)

P(X >=4) = P(4) + P(5)

P(4) = 5C4 × (0.7)^4 × (0.3)^1 = 0.36015

P(5) = 5C5 × (0.7)^5 × (0.3)^0 = 0.16807

P(4) + P(5) = 0.36015 + 0.16807 = 0.52822

Answer:

TRUE. Absolute value of positive numbers stay positive.

Answer:

True

Step-by-step explanation:

The absolute value of a positive number would be the number itself. Because 11 is a positive number, its absolute value would be 11.

If it were a negative number, the absolute value would be the positive versions of that number. For example, if a number is -5, the absolute value of -5 would be 5.

Answer:

here I think

Step-by-step explanation:

8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3

Answer: C. disturbance handler

Step-by-step explanation:

According to Henry Mintzberg, a manager has 10 roles which can be organized into three categories being; Decisional, Interpersonal and Informational roles.

The relevant role is that of a Disturbance handler and it falls under Decisional roles.

As the Disturbance handler, a manager should take the responsibility of resolving any problems that the company runs into that is under their authority to manage. They are to mediate in the issue to resolve the problem so that it does not disrupt the operations of the business.

The senior managers of Uber should take charge and guide Uber through the financial and ethical issues they are facing as this is their responsibility as disturbance handlers.

Answer:

0.8(x - 200)

Step-by-step explanation:

The rebate function is subtracting 200 from the price.

R(x) = x - 200

The discount function is to take 20% off the original price which means to pay for 80% of the original price.

D(x) = 0.8x

(D ° R)(x) =

= D(R(x))

= D(x - 200)

= 0.8(x - 200)

Answer:

[tex]\huge \boxed{\mathrm{0.65 \ in^2}}[/tex]

Step-by-step explanation:

Area of square = [tex]s^2[/tex]

[tex]0.5^2 = 0.25[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

[tex]\frac{0.5 \times 0.4}{2}=0.1[/tex]

The surface area of the net = area of square + 4(area of triangle)

[tex]0.25+4(0.1)=0.65[/tex]

Answer:

3.777...

Step-by-step explanation:

You would divide the 2 and once you get the remainder put a decimal after the divisor and keep bringing down 0 until you can divide anymore 3.777...

Answer:

a = -2

Step-by-step explanation:

g(x) = 3/2x + 3

g(a) = 0

g(a) = 3/2a +3 =0

Subtract 3 from each side

3/2a +3-3=0-3

3/2a = -3

Multiply each side by 2/3

2/3 * 3/2a = -3*2/3

a = -2

Answer:

P- value =  0.0069

Step-by-step explanation:

Given that :

sample size n = 1600

The sample proportion  [tex]\hat p[/tex] = 0.42

The population proportion p = 0.39

The null hypothesis and the alternative hypothesis can be expressed as:

[tex]H_o : p =0. 39[/tex]

[tex]H_1 : p >0.39[/tex]

The  test statistics can be computed as follows:

[tex]Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.42 - 0.39 }{\sqrt{\dfrac{0.39(1-0.39)}{1600}}}[/tex]

[tex]Z = \dfrac{0.03 }{\sqrt{\dfrac{0.2379}{1600}}}[/tex]

[tex]Z = \dfrac{0.03 }{\sqrt{1.486875 \times 10^{-4}}}[/tex]

[tex]Z = \dfrac{0.03 }{0.0121937484}[/tex]

[tex]Z = 2.4603[/tex]

Z [tex]\simeq[/tex] 2.46

Determine the P-value of the test statistic.

The P- value = P(Z > [tex]Z_o[/tex] )

P- value = 1 - P( Z ≤ 2.46)

Using the Excel Function ( = NORMSDIST (2.46))

P- value = 1 - 0.993053

P- value = 0.006947

P- value =  0.0069    to four decimal places

Answer:

$80

Step-by-step explanation:

So for this we need the cost of 4 regular tickets minus the cost of 4 discount tickets.

4(125$) = 500$

4(105$) = 420$

From here, we can find out how much is saved by the four people.

500$ - 420$ = 80$

So 80 dollars are saved by the four people.

Cheers.

what OneEnginer said

Step-by-step explanation:

use PEMDAS: please excuse my dear aunt sally