4 Type the correct answer in each box. Use numerals instead of words. The domain of this function is (-12, -6, 3, 15). y = -1 +7 Complete the table based on the given domain. у -6 5 15 15

Answer:

C is the answer

Step-by-step explanation:

hope this helps

Step-by-step explanation:

The expression you provided involves taking the square root of a negative number, which results in an imaginary number. In standard real number arithmetic, the square root of a negative number is undefined. However, in the realm of complex numbers, we can define a square root of negative numbers using the imaginary unit "i," where i is defined as the square root of -1.

Let's break down the expression step by step:

√(-25) / √9

The square root of -25 can be written as √(-1 * 25), which can further be simplified as √(-1) * √25.

√(-1) is equal to "i," and the square root of 25 is 5.

So, the expression becomes:

i * 5 / √9

The square root of 9 is 3.

Now, we can simplify further:

i * 5 / 3

Thus, the simplified expression is (5i) / 3, where "i" represents the imaginary unit.

Answer:

The answer is C

Step-by-step explanation:

hope this helps

You have some data points labeled by \(x\). They form the set {3, 5, 7}.

The mean, \(\bar x\), is the average of these values:

\(\bar x = \dfrac{3+5+7}3 = \dfrac{15}3 = 5\)

Then in the column labeled \(x-\bar x\), what you're doing is computing the difference between each data point \(x\) and the mean \(\bar x\):

\(x=3 \implies x-\bar x = 3 - 5 = -2\)

\(x=5 \implies x-\bar x = 5-5 = 0\)

\(x=7 \implies x-\bar x = 7 - 5 = 2\)

These are sometimes called "residuals".

In the next column, you square these values:

\(x=3 \implies (x-\bar x)^2 = (-2)^2 = 4\)

\(x=5 \implies (x-\bar x)^2 = 0^2 = 0\)

\(x=7 \implies (x-\bar x)^2 = 2^2 = 4\)

and the variance of the data is the sum of these so-called "squared residuals".

Answer:

no, because there is no graph lol

Step-by-step explanation:

Step-by-step explanation:

\( = - \frac{5}{9} - ( - \frac{14}{15} )\)

\( = - \frac{5}{9} + \frac{14}{15} \)

\( = - \frac{5 \times 5}{9 \times 5} + \frac{14 \times 3}{15 \times 3} \)

\( = - \frac{25}{45} + \frac{42}{45} \)

\( = \frac{ - 25 + 42}{45} \)

\( = \frac{42 - 25}{45} \)

\( = \frac{17}{45} \)

Answer:

Solo multiplica la cifra mensual por los meses del año (12) es decir

115,6 MC x 12 = 1387,2 MC

MC = Millones de Cerdos

espero que te ayude

Step-by-step explanation:

115,600,000

Aplicando proporciones, hay que 115.6 millones en número es escrito como 115.600.000.

La regla de três es:

1 millón - 1.000.000

115.6 millones - x

Aplicando multiplicación cruzada:

\(x = 115.6(1.000.000) = 115.600.000\)

115.6 millones en número es escrito como 115.600.000.

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Answer:

x = 7, y = 30  and  x = 3, y = 10

Step-by-step explanation:

5x - y = 5, then y = 5x - 5

2y - x^2 = 11

2(5x - 5) - x^2 = 11

10x - 10 - x^2 = 11

-x^2 + 10x -10 = 11

-x^2 + 10x -21 = 0

x^2 - 10x + 21 = 0

(x - 7)(x - 3) = 0

x = 7, y = 30

x = 3, y = 10

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  0

Step-by-step explanation:

The two expressions for her salary can be equated:

  2h +4 = 4 +4h

  0 = 2h . . . . . . . . subtract 2h+4 from both sides

  h = 0 . . . the husband's salary is zero dollars per month

Answer:

$2000

Step-by-step explanation:

Answer:

Step-by-step explanation:

R=21

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match

Answer:

Step-by-step explanation:

Formula: A=πr2

3.14 x 17^2 = 907.46 in2

Answer: dang bro i never do flvs that early in school. Sorry my guy i got no answer to that. Im quite dumb myself in math

Step-by-step explanation:

Answer:

According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is

A=

s(s−a)(s−b)(s−c)

where

s=

2

a+b+c

For the given triangle,

a=18 cm

b=24 cm

c=30 cm

s=

2

18+24+30

=36

A=

36(36−18)(36−24)(36−30)

A=

36×18×12×6

A=

216×216

=216 cm

2

Smallest side =18 cm

Area of the triangle =

2

1

×base×altitude=216

2

1

×18× altitude=216

Altitude =

9

216

=24 cm

Step-by-step explanation:

hope this will help

\(\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}\)

Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.

\(\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}\)

Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .

\(\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} \)

\(\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}\)

\(\bf \implies Area = \sqrt{ 36 \times 18 \times 12} \)

\(\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} \)

\(\bf \implies Area = 6^2\sqrt{6} unit^2 \)

\(\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} \)

Also we know that ,

\(\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}\)

Let's find the altitudes now ,

Altitude on side of 18 units :-

\(\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }\)

Altitude on side of 24 units :-

\(\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }\)

Altitude on side 30 units :-

\(\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }\)

Substitute the given values into the center-radius form of the equation of a circle.

where (h,k) is the center of the circle and r is the radius of the circle.

Thus, we have the following equation.

Thus, the answers for the blanks are as follows.

Blank 1: +4

Blank 2: +1

Blank 3: 81

Using the binomial distribution, it is found that approximately 156 cards must be drawn from the deck before players' tokens move forward 50 times.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected number of trials until q successes is:

\(E_s(X) = \frac{q}{p}\)

In this problem, the parameters are given as follows:

q = 50, p = 0.32.

Hence:

\(E_s(X) = \frac{50}{0.32} = 156\)

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Answer:

Step-by-step explanation:

Correct choice is B

Step-by-step explanation:

\( \sf \: \dfrac{3}{4} + \dfrac{1}{2} \\ \sf ➡ \frac{3 + 2}{4} \\ \sf➡ \frac{5}{4} \\ \sf➡1 \frac{1}{4} \)

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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Using simple multiplication, we concluded that Total coins equals 127 × 10 ⁷

Multiplying in math is the same as adding equal groups. The number of items in the group grows as we multiply. Parts of a multiplication issue include the product, the two factors, and the product. The factors in the multiplication problem 6 x 9 = 54 are the numbers 6 and 9, and the product is the number 54.

People in the United States = 3.1 x 10⁸

each person has 4.1 x 10¹ coins

Total coins = ( 4.1 x 10¹ ) × ( 3.1 x 10⁸ )

Total coins = 12710000000

= 127 × 10 ⁷

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Answer:

Step-by-step explanation:

Answer:

3

---

8

Step-by-step explanation:

the ratio of cakes to pies will be 3:8 if pies to cakes is 8:3

the fraction is 3/8

Answer:

  A) y = 3(x -3)^2 -46

  B) (3, -46)

  C) look at the y-coordinate of the vertex

Step-by-step explanation:

A) Factor the leading coefficient from the variable terms.

  y = 3(x^2 -6x) -19

Inside parentheses, add the square of half the x-coefficient. Outside, subtract the same value.

  y = 3(x^2 -6x +9) -19 -3(9)

  y = 3(x -3)^2 -46

__

B) Compared to the vertex form, ...

  y = a(x -h)^2 +k

we find a=3, (h, k) = (3, -46).

The vertex is (3, -46).

__

C) The vertex is an extreme value (as is any vertex). The sign of the leading coefficient tells you whether the parabola opens upward (+) or downward (-). This parabola opens upward, so the vertex is a minimum.

If the leading coefficient is positive, the y-coordinate of the vertex is a minimum. If the leading coefficient is negative, the y-coordinate of the vertex is a maximum.

Note that Option A is pairwise and is relatively prime.

If every pair of elements in a list of integers is relatively prime, the list is pairwise relatively prime. For example, the numbers 121, 122, and 123 are relatively prime pairwise (even though they are each composite).

You can tell if a set of numbers are relatively prime if they do not share a common factor other than ±

Looking at set a:
11, 15, 19

Writing their prime factorization

11 = 11

15 = 3 x 5

19 = 19, hence since any pair of these numbers does not have any common factor, hence they are relatively prime.

Looking at set b:

14, 15, 21
Writing their prime factorization, we have:

14 = 7 x 2
15 = 3 x5

21 = 3 x 7

15, and 21 share a common factor of 3 while

14 and 21 share a common factor of 7, therefore, they are NOT relatively prime.

Looking at set c)
12, 17, 31, 37
Writing their prime factorization,
12 = 3 x 2²
17 = 17

31 = 31

37 = 37

In this case, no pair of these numbers have any common factor. Hence they are relatively prime.

Looking at set d)

7,8,9, 11, spelling out their prime factorization

7=7

8=2³
9=3²
11=11

Thus, any pair of these numbers do not have a common factor, hence they are relatively prime.

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Answer:

13

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

8x-2x-2=7x+8

6x-2=7x+8

6x-7x=8+2

-x=10

x=-10

56 adult tickets and 442 student tickets were sοld.

A linear equatiοn is an equatiοn οf the fοrm y = mx + b, where x and y are variables, m is the slοpe οf the line, and b is the y-intercept. It represents a straight line with a cοnstant slοpe.

Let's start by defining οur variables. We'll use s tο represent the number οf student tickets sοld, and a tο represent the number οf adult tickets sοld.

Frοm the prοblem, we knοw that:

* The price οf a student ticket is $3, sο the tοtal amοunt οf mοney frοm student ticket sales is 3s.

* The price οf an adult ticket is $5, sο the tοtal amοunt οf mοney frοm adult ticket sales is 5a.

* The number οf students was 14 less than 8 times the number οf adults, sο we can write an equatiοn: s = 8a - 14.

* The tοtal amοunt οf mοney frοm ticket sales was $1582, sο we can write anοther equatiοn: 3s + 5a = 1582.

We nοw have twο equatiοns with twο unknοwns. We can substitute the first equatiοn intο the secοnd equatiοn tο eliminate s:

3(8a - 14) + 5a = 1582

Simplifying, we get:

24a - 42 + 5a = 1582

29a = 1624

a = 56

Sο, 56 adult tickets were sοld. We can substitute this value back intο the first equatiοn tο find the number οf student tickets sοld:

s = 8a - 14

s = 8(56) - 14

s = 442

Therefοre, 442 student tickets were sοld.

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For every 1 orange in the fruit bowl there are three bananas.

According to the question,

We have the following information:

In the fruit bowl there are 12 bananas, 8 apples and 4 oranges.

Now, in order to find the number of bananas in this fruit bowl for 1 orange can be as written below:

4 oranges = 12 bananas

Now, to find the number of bananas for 1 orange, we will divide the total number of bananas by the number of oranges.

So, we have the following expression:

1 orange = 12/4 bananas

1 orange = 3 bananas

Hence, for every 1 orange in the fruit bowl there are three bananas.

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Answer:

4/15

Step-by-step explanation:

2/5 drive

1/3 bus

and rest walk

fraction of those who walk is 1-(2/5+1/3)

2/5+1/3=(6+5)/15=11/15

15/15-11/15=4/15

I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

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