Hi my name is aughhhhhhhhhhh

Answers

Answer 1

Answer:

Hello auggggh nice to meet you!

Step-by-step explanation:


Related Questions

If f(x) = 3x^2 - x, find f(-2).

Answers

Answer:

14

Step-by-step explanation:

to find f(value), we plug that x value into the equation

so, if..

f(x)= 3x² -x

f(-2)= 3 · (-2)² - (-2)

f (-2) = 3 · 4 + 2

f (-2) = 12 + 2

f (-2)  = 14

Answer:

14

Step-by-step explanation:

f(x) =3x^2-x

here,

f(-2)= 3(-2)^2 -(-2)

=3*4+2

=12+2

=14 Answer.

help help help help help

Answers

Answer:

2/3 + 9.26 is rational

:)

helen rolls a dice and flips a coin.
calculate the probability

Answers

Answer:

1/12

Step-by-step explanation:

dice rolling=1/6

coin flipping=1/2

Hence probability=1/6×1/2

Answer:

Dice roll = 1/6

Coin flip = 1/2


a city's monthly precipitation amounts, in inches, for the last two years are recorded in the table. which histogram corresponds to the table?

Answers

Based on the given histograms, and the table on the city's monthly precipitation amounts, the histogram that corresponds to the table is Histogram 1.

Which histogram is the appropriate fit?

The number of months with 0 - 1.992 inches is 8 months which means that the first bar on the histogram of between 0 to 2 inches should reach the 8 month mark.

6 months had 1.992 - 3.994 inches so the next bar should stop at the 6th month mark. The next bar should stop at the 4 month mark.

The one after that should stop at the 5 month mark. The last bar would stop at the 1 month mark.

The only histogram that has this is histogram 1 which is not shown clearly but it likely the only one with these qualities as the others don't have it.

Rest of the question:

Amount (inches) 0 - 1.992 - 3.99 4 -5.996 - 7.998 - 9.99

Number of Months 8           6          4          5            1

Find out more on using histograms at https://brainly.com/question/17103637.

#SPJ1

can someone please help and explain these problems ??

Answers

Answer:

AAA

Step-by-step explanation:

yesss

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to
complete the statement.
(11j³k²) (³4)
When j = -8and k = 7

Answers

The value of the expression for the given values is 1294139

Evaluating an expression

From the question, we are to rewrite the expression

(11j⁻³k²) (j³k⁴)

This can be rewritten as

11 × j⁻³ × k² × j³ × k⁴

11 × j⁻³ × j³ × k² × k⁴

11 × j⁻³⁺³ × k²⁺⁴

11 × j⁰× k⁶

= 11 × 1 × k⁶

= 11k⁶

Now we are to evaluate the expression for when j = -8 and k  = 7

The expression is

= 11 × k⁶

= 11 × 7⁶

= 1294139

Hence, the value of the expression for the given values is 1294139

Here is the complete question:

Use the properties of exponents to rewrite this expression. Then evaluate the rewritten expression for the given values to

complete the statement.

(11j⁻³k²) (j³k⁴)

When j = -8 and k = 7

Learn more on Evaluating an expression here: https://brainly.com/question/11388301

#SPJ1

Answer:

539

Step-by-step explanation:

In parallelogram MNPQ if m/PQM = 140°
find m/MNP.

Answers

Answer: 140

Step-by-step explanation:

A parallelogram means the sides are parallel, so PQM would have the same angle as MNP since they are opposite, just like NPQ and QMN.

Answer: 140°

Detailed Explanation with Figure:

In a Parallelogram, the Opposite Angles are Equal. Therefore, ∠PQM = ∠MNP, which is equal to 140°.

Here’s the Figure :-

PLEASE HELP ME!

3 markers cost $5.79 Which proportion would help determine the cost of 13
markers?

A:

13/5.79=x/3

B:

x/13=3/5.79

C:

3/5.79=13/x

D:

13/x=5.79/3

E:

None of the Above

Answers

Answer:

C: 3/5.79=13/x

Step-by-step explanation:

Two ratios are said to be in proportion when the two ratios are equal

3 markers cost $5.79 in which the proportion price is unknown

13 markers cost x

markers / cost = markers / cost

3 / $5.79 = 13 / x

Learn more about Proportions here: https://brainly.com/question/870035

A ration of two numbers is equal to 3:8 if the smaller number is 14 find the greatest number

Answers

Answer:

34 and ⅔

Step-by-step explanation:

added in the picture

Consider an investment of $6000 that earns 4.5% interest


What is the value of the investment after
15 years if the interest is compounded
annually?

Answers

Answer:

$11,611.69

Step-by-step explanation:

Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]

where:

A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsed

Given:

P = $6,000r = 4.5% = 0.045n = 1 (annually)t = 15 years

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=6000\left(1+\frac{0.045}{1}\right)^{(1 \times 15)}[/tex]

[tex]\implies \sf A=6000(1.045)^{15}[/tex]

[tex]\implies \sf A=11611.69466...[/tex]

Therefore, the value of the investment after 15 years will be $11,611.69 to the nearest cent.

what is the price of a $90 mobile phone after a 30% discount

Answers

Answer:

$ 63

Step-by-step explanation:

Let the new price ( price after the discount ) be x.

Old price                    Discount                     New price

 100                              30                                  70

  90                               30                                   x

Now we can make an expression like this to solve this

100  ⇒  70

90  ⇒ x

Use cross multiplication to solve for x.

100x = 70 × 90

100x = 6300

Divide both sides by 100.

x = $ 63

Answer:

Discount: $27.00

Final Price: $63.00

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 90 × 30/100

Discount = 90 x 0.3

You save = $27.00

Final Price = Original Price - Discount

Final Price = 90 - 27

Final Price = $63.00

Golf balls cost $0.90 each at Jerzy’s Club, which has an annual $25 membership fee. At Rick and Tom’s sporting-goods store, the price is $1.35 per ball for the same brand. Where you buy your golf balls depends on how many you wish to buy. Explain, and illustrate your reasoning with a graph.

Answers

Answer:

See attached graph.

Step-by-step explanation:

Each situation can be expressed as an equation:

Jerzy: Total Cost (y1) is the $25 membership fee plus $0.80/golf ball (x):

y1 = $25 + $0.90x

Rick and Tom's:  Total Cost (y2) is $1.25 per golf ball, x.

y2 = $1.25x

See the attached graphs of these two equations.  Jerzy's cost less after 56 balls are purchased.

The Volume of a cube depends on the length of its sides.This can be written in function notation as v(s).What is the best interpretation of V(3)=27

Answers

Answer and Step-by-step explanation:

There is a cube with side length 3. The volume of this cube is 27.

a television set was priced $1659 after a 30% discount. What original price before the discount?​

Answers

Answer:  $2370

=======================================================

Work Shown:

x = price before the discount

30% of x = 0.30x = amount saved

x - 0.30x = 0.70x = price after discount = 1659

0.70x = 1659

x = 1659/(0.70)

x = 2370

Given:SP= $1659Discount given= 30%OP= ?Note that:SP= Selling Price OP= Original Price To find:The original price of the television set before the discount was given.Solution:Original price is the actual selling price of an item which is also know as list price.

First we'll have to convert the percent into decimal.

We'll have to divide the value by 100.

[tex]\frac{30}{100}[/tex]

[tex]\bold{=0.30}[/tex]

Now, we can find the original price.

[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]

We have all the necessary values to find the original price.

Let's solve!

Substitute the values according to the formula.

[tex]OP=\frac{1659}{1-0.30}[/tex]

OP= $2370

Therefore, the original price of the television set is $2370

If angle D is an acute angle and its tangent ratio is 1.055, then what is the measure of angle D to the nearest tenth of a degree?

Answers

The measure of angle D to the nearest tenth of a degree is 47 degrees

Application of SOH CAH TOA

This theorem is used to determine the measure of sides and angles of a triangle.

According to the theorem

tan theta = opp/adj = 1.055

theta = arctan(1.055)

theta = 46.53 degrees

Hence the measure of angle D to the nearest tenth of a degree is 47 degrees

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

#SPJ1

when 7 is subtracted from 3 times a certain number , the result is 28. What is the number

Answers

The number will be equal to 11.67.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The expression will be formed from the given data. Let the number be x so the expression will be:-

3x - 7 = 28

3x = 35

x = 35 / 3

x = 11.67

Therefore the number will be equal to 11.67.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ1

Which best describes why the function is nonlinear? the rate of change between 1 and 2 trees is different than the rate of change between 2 and 3 trees. the rate of change between 1 and 2 trees is different than the rate of change between 1 and 3 trees. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 4 trees. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

Answers

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃  = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

Read more on nonlinear function here: https://brainly.com/question/896694

#SPJ1

Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

The function is nonlinear because: D. the rate of change between 2 and 3 trees is different than the rate of change between 3 and 5 trees.

What is a nonlinear function?

A nonlinear function can be defined as a type of function whose rate of change (increase or decrease) are not the same i.e they are different.

The rate of change between 2 and 3 trees is given by:

R₂₃ = (180 - 120)/(3-2)

R₂₃ = 60.

Also, the rate of change between 3 and 5 trees is given by:

R₃₅ = (290 - 180)/(5-3)

R₃₅ = 110/2

R₃₅ = 55.

Read more on nonlinear function here: brainly.com/question/896694

#SPJ1

Complete Question:

A tree company charges a delivery fee for each tree purchased in addition to the cost of the tree. The delivery fee decreases as the number of trees purchased increases. The table below represents the total cost of x trees purchased, including delivery fees. Which best describes why the function is nonlinear?

John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.

Which equation could John solve to find w, the greatest width in centimeters he can use for the mosaic?

w(w – 2) = 48
w(w + 2) = 48
2w(w – 2) = 48
2w(w + 2) = 48

Answers

The equation that could John solve to find w, the greatest width in centimeters he can use for the mosaic is option B: w(w + 2) = 48.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The mosaic to be formed is rectangular in shape.

Area of a rectangle = length x width

The length is longer than the width by 2,

So, length = w+2

Area of a rectangle = (w+2) x w

The correct equation is B: w(w + 2) = 48

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Answer: B

Step-by-step explanation:

Help please I'll mark you as brainlist if the answer is correct

if (x + q) is a factor of two polynomials x2 + px + q and x2 + mx + n, then prove that a = n-q m-p​

Answers

If (x + q) is factor of two polynomial [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex] than [tex]a = \frac{n - q}{m- p}[/tex].

x + a is factor of equations  [tex]x^2+px+q[/tex] and [tex]x^2+mx+n[/tex]

What is a polynomial equation?

Polynomial equation is equation of independent variables.


Putting it in both the equations

[tex]x^2+px+q=0[/tex]                          
[tex](-a)^2+p(-a)+q=0\\a^2-ap+q=0 ........(1)[/tex]  

[tex]x^2+mx=n = 0\\(-a)^2+m(-a)+n=0\\a^2-am+n=0 .....(2)[/tex]

subtracting (2) from (1)

[tex]-am+ap+n-q=0[/tex]
[tex]a=\frac{n-q}{m-p}[/tex]

Thus, the required expression is [tex]a=\frac{n-q}{m-p}[/tex].

learn more about polynomial here:
https://brainly.com/question/11536910

#SPJ1



a Each exterior angle of a regular polygon measures 20° How many sides
does the polygon have?

Answers

Answer:

18

Step-by-step explanation:

The exterior angles of any regular polygon add to 360°, so the answer is 360/20 = 18

Hurry pleaeeeee show your work


117n + 90=

Answers

Answer:

n=-0.769

Step-by-step explanation:

Since there is no number after the equal sign in the equation given, we can put a zero in that place.

117n+90=0

Subtract 90 from both sides.

117n=-90

Divide 117 and -90

n=-0.769

Hope this helps!

If not, I am sorry.

Carefully follow the steps to find the solution to the three equation system.
1.2x+y+3:= 12
2. x-2y+z=-5
3.5.x- y+ 2z = 5

a. Use equations 2 and 3 and eliminate the z by multiplication and addition, creating a new equation with only two variables.
b. Use equations 1 and 2 and eliminate the z by multiplication and addition, creating a second equation with only two variables.
c. Use the two new equations, and eliminate the x-variable by multiplication and addition, finding the value for the y-variable.
d. Substitute y-value in the second new equation and find the x-value.
e. Substitute the z-and y-values into original equation 2 to find the z-value

Answers

Answer:

This answer assumes that the first equation is meant to read:

2x + y +3z = 12, and not

1.22x+y+3:= 12

Spoiler Alert:  x = 1, y=4, and z=2

Step-by-step explanation:

1.    2x + y +3z = 12

2.     x - 2y + z = -5

3.    5x - y+ 2z = 5

==============

Use equations 2 and 3 to eliminate z:

2.  x - 2y + z= -5

3.  5x - y+ 2z = 5

-2(x - 2y + z) = -2(-5)   [Multiply equation 2 by -2]

             5x -   y+  2z =  5

Now subtract this new equation from equation 3:

-2x + 4y - 2z = 10  (Eq 3)

 5x -   y+  2z =  5   [

 3x +3y = 15   [Equation A]

=================

Use equations 1 and 2 to eliminate z:

   2x +  y +3z = 12   (Eq. 1)

      x - 2y +  z = -5   (Eq. 2)

   2x +  y +3z = 12

(-3)(x - 2y +  z = -5)  [Multiply Eq. 2 by (-3)]

    -3x + 6y -3z = 15

Now add the resulting two equations.

   2x +   y + 3z = 12     (Eq. 1)

  -3x + 6y -3z =  15       (Eq,2 times -3)

   -x   +7y         = 27    [Equation B]

=============

  Eliminate x with the 2 resulting equations (from above)

  3x +3y = 15  [Equation A]

   -x +7y = 27  [Equation B]

----

   3x +3y = 15

   3*(-x +7y = 27)  [Multiply the Equation B by 3]

  -3x +21y = 81     [Aha - this equation has a -3x term, exactly what we need to eliminate the x term in Equation A]

---

Now add the two resulting equations:

    3x +3y = 15

   -3x +21y = 81

            24y = 96  [The x term disappears.  But we'll "find x" later]

                 y = 4   [Divide both sides by 24]

Find y and z:

Since y = 4,

-x  +7y   = 27 (From above, Equation B]

-x = -7y + 27

 x = 7y - 27

x = 7(4)-27

 x = 1                  [Looking good]

=====

Find z:  (Use y = 4 and x = 1)

x - 2y + z = -5  [Equation 2]

(1) -2*(4) + z = -5

1 - 8 + z = -5

z = 2

Check:

Do the original equations work when x = 1, y = 4, and z = 2?

Results:  

1.    2x + y +3z = 12      

     (1) + (4) +3(2)    YES, this equals 12

2.     x - 2y + z = -5  

       (1)  -2*(4) + (2)   YES, this equals -5

3.    5x - y+ 2z = 5

       5(1) - (4) + 2(2)   YES, this equals 5

x = 1, y=4, and z=2

Calculate the following limit:
[tex]\displaystyle \lim_{x \to \infty}{\dfrac{\log(x^8 - 5)}{x^2}}[/tex]

Answers

If we evaluate at infinity, we have:

                        [tex]\bf{\displaystyle L = \lim_{x \to \infty}{\frac{\log(x^8 - 5)}{x^2}} = \frac{\infty}{\infty} }[/tex]

However, the infinity of the denominator has a higher order. Therefore, we can conclude that  [tex]\boldsymbol{L = 0.}[/tex]

However, proving that the limit is 0 without using L'Hopital or the "order" criterion is complicated. To do so, let us denote:

                           [tex]\boldsymbol{\displaystyle f(x) = \frac{\log(x^8 - 5)}{x^2} }[/tex]

To find the limit, we must look for two functions h(x) and g(x) such that h(x)≤ f(x)≤ g(x) and

                               [tex]\boldsymbol{\displaystyle \lim_{x \to \infty}{h(x)} = 0, \qquad \lim_{x \to \infty}{g(x)} = 0}[/tex]

If we find these functions, then we can conclude that [tex]\bf{\lim_{x \to \infty}{f(x)} = 0.}[/tex]

First, let's note that when x⁸ - 5 > 1, then log(x⁸ - 5) > 0 (and this is true when x is large). Likewise, we have that x² > 0 for x > 0. Therefore, we have:

                                   [tex]\boldsymbol{\displaystyle f(x) = \frac{\log(x^8 - 5)}{x^2} \geq 0}[/tex]

when x "is big enough". Thus, we have h(x) = 0 where it is clear that [tex]\bf{\lim_{x \to \infty}{h(x)} = 0.}[/tex]

To find the second function, let's first note that \log is an increasing function, so since x⁸ ≥ x⁸ - 5, then log(x⁸) ≥ log(x⁸ - 5). So we have to

                [tex]\boldsymbol{\displaystyle \frac{\log(x^8 - 5)}{x^2} \leq \frac{\log(x^8)}{x^2} }[/tex]

now, if we take y = e^y, then we can write

                  [tex]\boldsymbol{\displaystyle \frac{\log(x^8)}{x^2} = \frac{\log(e^{8y})}{e^{2y}} = \frac{8y}{e^{2y}}}[/tex]

A very important property about the exponential function is

                    [tex]\boldsymbol{\displaystyle e^x > \frac{x^n}{n!}}[/tex]

For any n [tex]\bf{n \in \mathbb{N}}[/tex] and x > 0. If we take n = 2, then we have

                    [tex]\boldsymbol{\displaystyle e^{2y} > \frac{(2y)^2}{2!} = \frac{4y^2}{2} = 2y^2}[/tex]

From this it follows that

                     [tex]\boldsymbol{\displaystyle \frac{1}{e^{2y}} < \frac{1}{2y^2} }[/tex]

Therefore, we have to

                    [tex]\boldsymbol{\displaystyle \frac{\log(x^8 - 5)}{x^2} \leq \frac{\log(x^8)}{x^2} < \frac{8y}{2y^2} = \frac{4}{y} = \frac{4}{\log x} }[/tex]

yes, [tex]\bf{g(x) = 4/\log x}[/tex] where [tex]\bf{\lim_{x \to \infty}{g(x)} = 0}[/tex]. Also, [tex]\bf{h(x) \leq f(x) < g(x)}[/tex]. Therefore, [tex]\bf{\lim_{x \to \infty}{f(x)} = 0}[/tex].

[tex]\red{\boxed{\green{\boxed{\boldsymbol{\sf{\purple{Pisces04}}}}}}}[/tex]

Which of the following is equivalent to the logarithmic equation below? in x=3​

Answers

it’s A or x=e^3


on edge, hope that helps :)

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

6 m

Step-by-step explanation:

[tex]sin22 = x/16\\x = 16sin22\\x = 6[/tex]

Use properties to evaluate 3/4(1/5÷3/5)(-8).
A. 2
OB. 5
O C. -2
OD. -5

Answers

Answer:

C. -2

Step-by-step explanation:

Use A-P-E-X

How I solved it:

3/4(1/5÷3/5)(-8)

3/4(1/5×5/3)(-8)

3/4(1/3)(-8)

1/4(-8)=-2

Hope this helps!

If not, I am sorry.

Which point has coordinates (5,-7pi/6)?

Point A
Point B
Point C
Point D

Answers

The answer is Point C

what is the ratio 3:1

Answers

Answer:

3:1

Step-by-step explanation:

3 and 1 is not divisible by any number

Charlie is installing new carpet in his rectangular living room, which is 5 feet longer than it is wide. He has received quotes for the total
installation costs from two different contractors for the same style of carpet.
Contractor A charges an installation fee of $125 plus $2 per square foot for the carpet.
Contractor B charges an installation fee of $75 plus $2.50 per square foot for the carpet.
Based on this information, which system of equations could be used to determine the width of the living room, x, in feet, at which the
quote for the installation costs, y, is the same for both companies?

Answers

Considering the area of a rectangle, the equation that could be used to determine the width for which the costs are the same is:

125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by the multiplication of dimensions, that is:

A = lw

In this problem, the dimensions are given as follows:

w = x, l = x + 5.

Hence the area in square feet is:

A = x(x + 5) = x² + 5x.

Then the costs are given as follows:

A(x) = 125 + 2(x² + 5x).B(x) = 75 + 2.5(x² + 5x).

The costs will be equal when:

A(x) = B(x)

125 + 2(x² + 5x) = 75 + 2.5(x² + 5x)

More can be learned about the area of a rectangle at https://brainly.com/question/10489198

#SPJ1

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

inequalities i need help question is in picture

Answers

Answer:

19-73 19-73 is fine thanks 70-65-46 024 465 8554 48-57

Other Questions
1. What is the number of possible outcomes of picking one letter at a time from the word ANGELES CITY?2. What is the probability of drawing E?3. What is the probability of drawing a vowel?4. What is the probability of drawing a consonant?5. What is the probability of drawing P? True or False: The minimum or maximum value on the graph of a quadratic function (parabola) is identified using the x-value of the vertex. Please solve it. It will help me for my exam preparation. How was the United States impacted after ww2 need help on this question Which word in this sentence is a subordinating conjuction? " We cleaned up after we ate lunch and saved the leftover oranges and apple in a bowl"A. inB. andC. orangesD.after write a story to illustrate the saying. you can`t have your cake and eat it What is the additive inverse of x=-1317, and verify -(-x) = x ? Which of the following most accurately describes the method that most states currently use to select their electors for the Electoral College?Group of answer choicesA. The state's electors are allocated individually based on which candidate receives the most votes in each legislative district in the stateB. The state's electors are allocated based on the percentage of the popular vote received by each candidateC. All of the state's electors go to the candidate who receives the most popular votes, regardless of whether or not it is a majority of votesD. All of the state's electors go to the candidate who receives the most popular votes, but only if the candidate receives a majority of votes (Word after WW1)Electricity Powers ChangeWhat was life like in the home before electricity? Which three electrical devices in the home do you think made the biggest changes in peoples lives? Provide details to back your stance. 1. Solve the given linear equations for 'x': i ) 3(2x - 3) = 4(2x + 4) ii )2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2) 2. Solve : 3x /4 - 7 /4 = 5x + 12 = 3. Show that x = 4 is a solution for the equation x +7 - 8x/3 = 17/6 - 5x/8 4. Three consecutive integers are as such they are taken in increasing order and multiplied by 2, 3, and 4, respectively, they add up to 56. Find these numbers. 5 . Jane is 6 years older than her younger sister. After 10 years, the sum of their ages will be 50 years. Find their present ages. 6. The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool? 7. The digits of a 2-digit number differ by 5. If the digits are interchanged and the resulting number is added to the original number, we get 99. Find the original number. 8. A steamer goes downstream and covers the distance between two ports in 4 hours while it covers same distance upstream in 5 hours .If the speed of the stream is 2km per hour find the speed of the streamer of still water. 9 .Lakshmi is a cashier in a bank. She has currency notes of denominations Rs 100, Rs 50 and Rs 10, respectively. The ratio of the number of these notes is 2:3:5. The total cash with Lakshmi is Rs 4,00,000. How many notes of each denomination does she have?10. The age of a man is 24 years more than his son. In two years, the father's age will be twice that of his son. Find the present age of his son. Pls tell all answers with rought work There are 120 students in Year 11 at a school. Each student studies one language, either French, Spanish, German or Welsh. 21 of the 40 students studying Welsh are male. 18 males and 9 females study French. 12 of the 17 students studying Spanish are female. Twice as many females study German than males. How many students in Year 11 are female? In 30 words or fewer, describe what Connie's actions in the quote above might reveal about her. Computer science student jones has been assigned a project on how to set up sniffer. What just he keep in mind as part of the process? find the value of x in the figure below 139 9x 71 5x 92 Pre-Test Active2 35 679 10Which formula should be used to find the circumference of a circle?O C-ndO C-2nd0 -OC-4Save and ExitMark this and returnNextTIME REMAINING45:32Submit What are the measures of Angles a, b, and c? Show your work and explain youranswers. (10 points) Given the following functions, find and simplify (f+g)(-2).Do not include "(f+g)(-2)=" in your answer.f(x) = -3x - 2xg(x) = -2x +3 According to the situational leadership theory, if followers are unable and willing to do a task, then a leader needs to ________. A. follow a supportive style B. engage in participative leadership C. refrain from providing too many inputs D. display high task and relationship orientation E. demonstrate high task and low relationship orientation Misunderstanding communication can come through .