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In a game, for every 3 enemies defeated, you earn 5 points. If you defeated 27 enemies, how many points would you have earned? ​

The required Number of months with the company recovery is investment and program x are 10.5.

Saving enhances emotions of stability and peace of mind and offers a financial "backstop" for life's uncertainties. Savings can serve as the "seed money" for higher-yielding assets like stocks, bonds, and mutual funds if an appropriate emergency fund has been developed.

This calculation can be used to determine the payback period

Payback of month = \(\frac{cost of invesment}{Saving during the year}\) × months in year

= \(\frac{35000}{40000}\) × 12

= 10.5 months

Thus, required number of months are 10.5 months.

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Answer:

x = 15 , y = 8

Step-by-step explanation:

Since the triangles are similar, then ratio of corresponding sides are in proportion, that is

\(\frac{x}{45}\) = \(\frac{17}{51}\) = \(\frac{1}{3}\) ( cross- multiply )

3x = 45 ( divide both sides by 3 )

x = 15

---------------------------------------------

Similarly

\(\frac{y}{24}\) = \(\frac{1}{3}\) , so

3y = 24 ( divide both sides by 3 )

y = 8

The required value of the F in the matrix is given as -8. Option B is correct.

Given that,
A system of equations is given, convert the equation into matrix form, and determine the corresponding value of the F.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
-2x + 5y -3z = -25
-4x - 3y - 8z = -39
6x + 8y - 5z = 14

Converting the above system of equations in the matrix form,
\(\left[\begin{array}{ccc}-2&5&-3\\-4&-3&-8\\6&8&-5\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-25\\-39\\14\end{array}\right]\)
Now compare the above matrix with the given matrix, where F = -8

Thus, the required value of the F in the matrix is given as -8. Option B is correct.

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A graph of function that is a line passing through ( 0 , 4 )  and

( -2 , 0 )

What is function explain?

First we simplify the given function.

Consider,

f(x) = 4x²-16/2x-4

f(x) = (2x)² - (4)²/2x-4

f(x) = \(\frac{(2x+4)(2x-4)}{2x-4}\)

f(x) = 2x + 4

Obtained function represent a straight line whose slope is 2 and y-intercept is 4

Let say, y = 2x + 4

then when x = 0 we get, y = 4

when y = 0 we get, x = -2

So we get a graph of function that is a line passing through ( 0 , 4 )  and

( -2 , 0 )

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The total amount the man had = 52,200 rupees. Out of this, he gave 21,750 rupees to his son, 13,050 rupees to his daughter, and 17,400 rupees to his wife , the total amount given away by the man = 21,750 + 13,050 + 17,400 = 52,200 rupees.

A man gave 5/12 of his money to his son, 3/7 of the remainder to his daughter, and the remaining to his wife. If his wife gets Rs. 8,700, what is the total amount?

The given problem can be solved using the concept of ratios and fractions. Let us solve the problem step-by-step.Assume the man had x rupees with him.The man gave 5/12 of his money to his son.

The remaining amount left with the man = x - 5x/12= (12x/12) - (5x/12) = (7x/12)The man gave 3/7 of the remainder to his daughter.'

Amount left with the man after giving it to his son = (7x/12)The amount given to the daughter = (3/7) x (7x/12)= (3x/4)The remaining amount left with the man = (7x/12) - (3x/4)= (7x/12) - (9x/12) = - (2x/12) = - (x/6) (As the man has given more money than what he had with him).

Therefore, the daughter's amount is (3x/4) and the remaining amount left with the man is (x/6).The man gave all the remaining amount to his wife.

Therefore, the amount given to the wife is (x/6) = 8700Let us find the value of x.x/6 = 8700 x = 6 x 8700 = 52,200

Therefore, the man had 52,200 rupees with him.He gave 5/12 of his money to his son. Therefore, the amount given to his son is (5/12) x 52,200 = 21,750 rupees.

The remaining amount left with the man = (7/12) x 52,200 = 30,450 rupees.He gave 3/7 of the remainder to his daughter. Therefore, the amount given to his daughter is (3/7) x 30,450 = 13,050 rupees.

The amount left with the man = (4/7) x 30,450 = 17,400 rupees.The man gave 17,400 rupees to his wife.
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Answer:

the answer is 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is 2, because it is the only factor that can go with both of the numbers.

Answer:

4

Step-by-step explanation: 2x+5=13

                                                  -5   -5

                                                   2x=8

                                                   /2     /2

                                                      x=4

Answer:

X = 4

Step-by-step explanation:

Subract 5 from 5 and 13

Simplify: 2x = 8

divide both sides of the equation by the same term 2x/2 8/2

which gets you x = 4

Answer:79

Step-by-step explanation:

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols  >, <, ≤ or ≥. or indicate that the two expressions in an inequality are not always equal.

Given data:

in equality formed are:

x + y ≤ 60 number .....eq1

45x + 70y ≤ 3000 pounds ...eq 2

Part a: total number of boxes carried by the forklift = 60.

Part b: Total weight carried by forklift is "less than" 3000 pounds.

Part c: inequality for number of boxes carried by the forklift.

From eq 1, x + y ≤ 60

Part d:  inequality for amount of weight carried by the forklift.

From eq 2;  x + y ≤ 60

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Answer:

21/7 and 72/12

Step-by-step explanation:

As the "?" are both at the numerator we just multiply by the denominator of the question mark (that is 1) so they remain the same.

Answer:

Step-by-step explanation:

The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.

The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.

To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:

(1/3) x (1/10) = 1/30

So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%

Answer:

If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The total number of people want in all is 531.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of buses = 9

Number of buses that has 63 people = 5

Number of buses that has 54 people = 4

The total number of people in all the buses.

= 5 x 63 + 4 x 54

= 315 + 216

= 531

Thus,

The total number of people want in all is 531.

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Answer:

i think its going to be 180* degreas! sorry if im wrong

Step-by-step explanation:

Answer:

we need to factorise if imaginary number is in the denominator. no action is required if its in the numerator.

you can factorise an imaginary number by multiplying both the numerator and denominator by the conjuncate of the complex number

for instance,

we've given a complex number as follows

\( \frac{x}{3x + 4i} \)

factorising

\( \frac{x}{3x + 4i} \times \frac{3x - 4i}{3x - 4i} \)

as 3x -4i is the conjugate of 3x + 4i

and 4i is the imaginary number

\( \frac{ x(3x - 4i)}{9x {}^{2} - 4 {i}^{2} }\)

and since i² = -1

\(\frac{ x(3x - 4i)}{9x {}^{2} + 4}\)

hence factorised

Answer:

3:8 or 3 to 8 depending on how you personally write it

Step-by-step explanation:

In problems like these you just need to put the numbers in the order that the question asks you in. In this case it is asking for drink mix (3) to water (8) making it 3:8.

Answer:

I saw another question like this but it was the other way like "water to drink mix" and it was 8:3 so technically and mathematically it would be 3:8

Step-by-step explanation:

x≤3 is the solution of the inequality 6≥ 2x.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 6≥ 2x.

Six greater than or equal to two times of x.

We have to solve for x.

To do this we have to divide both sides by 2.

6/2≥ 2x/2.

3≥ x

Which means x≤3.

Hence, x≤3 is the solution of the inequality 6≥ 2x.

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Answer:

it should be 3 :)

Step-by-step explanation:

the line is crossing the 3rd unit on the y-axis. since its also on the top half of the graph it means its positive

hope this helps

           \(\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}\)

         What is the y-intercept of the given graph?

\(\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}\)

            When we're given a graph of a linear function (a function whose graph is a straight line), and asked to find its y-intercept, it's actually a piece of cake.

    We need to look at the point where the line intersects the y-axis (the vertical axis). That's why it's called "y-intercept".

           The coordinates of the point where the graph intersects the axis are as follows:-

                                       \(\Large\text{(0,3)}\)

       The y-intercept is as follows:-

                             \(\Large\text{3 (Option B)}\)

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     \(\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}\)

Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

Answer:

90 cm3

Step-by-step explanation:

You multiply 2 by 5 which is 10, then by 9 and get 90 cm3

Answer:

24=6×4

24=24

therefore the the comparison sentence is 24=6×4

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.

x=±3x=±3

The final answer is the combination of both solutions.

x=3,−3x=3,-3

Answer:

130° and 310°

Step-by-step explanation:

the bearing of A from B is the measure of the clockwise angle from a north line at B to A

the angle at B and A are same- side interior angles and sum to 180°

angle at B = 180° - 50° = 130°

the bearing of A from B is then 130°

the bearing of B from A is the measure of the clockwise angle from the north line at A to B

the complete angle about A = 360° then clockwise angle from north line at A to B is

360° - 50° = 310°

the bearing of B from A is 310°

In Converse: a positive integer is a prime if it has no divisors besides 1 and itself. A positive integer has other divisors besides 1 and itself if it is not a prime; this is Contrapositive. Inverse: A positive integer is not a prime if it has divisors other than 1 and itself.

The conditional statement reads, "A positive integer is a prime only if it has no divisors other than 1 and itself."

In converse: "a positive integer is a prime if it has no divisors other than 1 and itself." This is not always the case, however, as some composite numbers, like 15, have only themselves and the number one as divisors.

Contrapositive: "If a positive integer is not a prime, then it has divisors other than 1 and itself," is the contrapositive. This is true because a prime number cannot have any divisors than itself and the number 1, which means that any number that is not a prime must have other divisors.

Inverse: "A positive integer has divisors other than 1 and itself is not a prime." This is also true since a prime number is defined as having no divisors besides itself and 1. Hence, any number with divisors other than 1 and itself cannot be a prime number.

The converse, contrapositive, and inverse of a conditional statement are typically not logically identical to the original statement and may or may not be true.

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Complete Question

Suppose that the amount of time teenagers spend weekly working at part-time jobs is normally distributed with a standard deviation of 40 minutes. A random sample of 15 teenagers was drawn and each reported the amount of the time spent at part-time jobs (in minutes). These are listed here 180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125. Determine the 95% confidence interval estimate of the population mean.

Answer:

The 95% confidence interval is  \( 127.09  <  \mu <  167.57 \)

Step-by-step explanation:

From the question we are told that

   The standard deviation is  \(\sigma = 40\)

   The sample size is  n  = 15

     The data given is   180, 130, 150, 165, 90, 130, 120, 60, 200, 180, 80, 240, 210, 150, 125

Generally the sample mean is mathematically represented as

             \(\= x = \frac{ \sum x_i}{n }\)

=>          \(\= x = \frac{ 130 + 150 + \cdots + 125 }{ 15 }\)

=>          \(\= x = 147.33\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

=>     \(E = 1.96  *  \frac{40}{\sqrt{15} }\)

=>     \(E =20.24 \)

Generally 95% confidence interval is mathematically represented as  

      \( 147.33 -20.24<  \mu <  147.33 + 20.24 \)

      \( 127.09  <  \mu <  167.57 \)

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

Domain { -9,3,5}

Range { 4,5,7}

Step-by-step explanation:

The domain is the input

Domain { -9,3,5}

The range is the output

Range { 4,5,7}

Answer:I’m not smart but the guy above me

Step-by-step explanation:is super smart

(a) The number of guest per night=p,

and the cover charge for one night per person=q.

Let the liner demand equation be \(q(p)=mp+c\cdots(i)\),

where m and c are constants.

Given that for the first week: q=345 and p=$7 and

for the second night: q=300 and p=$10.

Put these values in equation (i), we have

345=7m+c

\(\Rigntarrow c=345-7m\cdots(ii)\)

and

300=10m+c

\(\Rightarrow 300=10m+(345-7m)\) [from equation (ii)]

\(\Rightarrow 3m=-45\)

\(\Rightarrow m=-15\)

and from equation (ii),

\(c=345-7\times(-15)=450\).

Hence, the required demand equation is:

\(q(p)=-15p+450\cdots(iii)\)

(b) Revenue = (Number of guests) x (Cover charge)

R=qp

\(\Rightarrow R(p)=(-15p+450)p\) [from equation (iii)]

\(\Rightarrow R(p)=-15p^2+450p\;\cdots(iv)\)

(c) The costs per night for drinks for the number of guest p is  $2p and the nightly overheads is $2000.

So, the required cost function is

\(C(p)=2p+2000\;\cdots(v)\)

(d) Profit=(Revenue)-(Total costs)

i.e \(P(p)=R(p)-C(p)\)

Using equations (iv) and (v), we have

\(\Rightarrow P(p)=(-15p^2+450p)-(2p+2000)\)

\(\Rightarrow P(p)=-15p^2+448p-2000.\)

Now we have the profit function as function of cover charge (entry fee) per person.

So, to get the maximum profit, P, differentiate the profit function with respect to the cover charge, q and equate it to zero to get the eqtremum point.

\(\frac {dP}{dq}=0\)

\(\Rightarrow -30p+448=0\)

\(\Rightarrow p=14.93\)

This point is either maxima or minima, so differentiate the profit function twice to to ensure the value of p corrosponding to what.

\(\frac {d^2P}{dq^2}=-30\)

This the second deravitive is negative, so p=14.93 is the value for maximum profit.

Hence, for the maximum profit, the cover charge per guest is $14.93.

Answer:

Area of three triangles = 36 square units

Area of the composite figure = 60 square units

Step-by-step explanation:

Area of a triangle = \(\frac{1}{2}(\text{Base})(\text{Height})\)

Area of ΔABC = \(\frac{1}{2}(6)(4)\)

                        = 12 square units

Area of ΔCDE = \(\frac{1}{2}(4)(6)\)

                        = 12 square units

Area of ΔGEF = \(\frac{1}{2}(6)(4)\)

                       = 12 square units

Area of rectangle ACEG = Length × Width

                                        = AC × CE

                                        = 6 × 4

                                        = 24 square units

Area of three triangles = 12 + 12 + 12

                                      = 36 square units

Area of the composite figure = Area of three triangles + Area of the rectangle

= 36 + 24

= 60 square units

Answer:

The total area of the three triangles is 36 square units.

The area of the figure is 60 square units.

Step-by-step explanation: