Help please!!!!!!!!!!!

Answer:

52 students

Step-by-step explanation:

From the question above, we have the following information:

a) Vidya ranks 7th from the top.

Mathematically,

Vidya = 7th student

b) Divya 3 ranks behind Vidya.

Divya = Vidya + 3

Hence, Mathematically:

Divya = 7 + 3 = 10

Divya = 10th student

c) Also, Divya is 7 ranks ahead of Medha.

Mathematically,

Medha = 10 + 7= 17

Medha= 17th student

d)Sushma is 32 ranks behind Medha

Mathematically,

Sushma = Medha + 32

= 17 + 32 = 49

Sushma is the 49th student

Therefore, since, Sushma is 4th from the bottom, total number of students is:

49 + 3 = 52 students

Answer:

[tex]4x^2 - 8x + 20[/tex]

Step-by-step explanation:

The correct equation is:

[tex]8x^3 + 4x^2 + 100[/tex]

We want to divide that by (2x + 5)

To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.

When you get to 0, you have reached the end of the division.

Whatever term you get from each step of division is part of the quotient.

Go over the steps above carefully while following them below:

Step 1:

Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].

Step 2

Multiply [tex]4x^2[/tex] by (2x + 5)  and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:

[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]

Step 3

Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].

Step 4

Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:

[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100

Step 5

Divide 40x by 2x. You get 20.

Step 6

Multiply 20 by (2x + 5) and subtract from 40x + 100:

40x + 100 - (40x + 100) = 0

From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.

Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]

Answer:

function 2

Step-by-step explanation:

To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope

Answer:

The correct option is;

D. Biased

Step-by-step explanation:

A sampling method in which the members of the sample are not representative of the population, such that some members of the population have a higher or lower probability within the sample which is indicative that not all members of the population are sampled

A biased sample is a non random sample and the can lead to misleading data conclusion

In the question, the sampling of student opinion about the school cafeteria among students who are on the lunch line and so prefer the school cafeteria leaves out the portion of the population that get their lunch from alternative sources.

Answer:

biased

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

y = 2/5x + 4/5

Step-by-step explanation:

We'll begin by calculating the slope of the equation: y = 2/5x – 1/2

The slope of the above equation can be obtained as follow:

y = mx + c

Where m is the slope.

c is the y-intercept.

y and x are the coordinate.

Comparing:

y = 2/5x – 1/2 with y = mx + c

The slope of y = 2/5x – 1/2 is 2/5.

Now, let us determine the equation parallel to y = 2/5x – 1/2.

This is illustrated below:

The coordinate of the line => (–7, 2)

x1 = –7

y1 = 2

Slope (m) = 2/5 => Since the lines are parallel, their slope are equal.

y – y1 = m (x – x1)

y – 2 = 2/5(x – –7)

y – 2 = 2/5(x + 7)

Clear bracket

y – 2 = 2/5x + 14/5

Rearrange

y = 2/5x + 14/5 + 2

y = 2/5x + 4/5

Therefore, the equation is:

y = 2/5x + 4/5

Answer:

Using point-slope form we get:

y - 6 = 1/3(x + 6)

y - 6 = 1/3x + 2

y = 1/3x + 8

Answer:

Max would be 4y meters ahead by 4pm

Step-by-step explanation:

What we want to calculate here is the difference in the distance they have covered by 4pm given the speed at which they traveled.

Mathematically, distance = speed * time

The time is just the difference between 12 noon and 4pm which is 4 hours

Let’s tackle Max’s

He’s biking at x km/h, so the distance he would have covered by 4pm would be 4 * x = 4x meters

Now let’s tackle Sven

Sven is biking at a speed which is y mph less than Max’s x mph

Thus his speed would be (x-y) mph

His distance covered would be 4(x-y) meters

Now the difference between their bikes distance at 4pm would be;

4x - [4(x-y)]

= 4x -(4x -4y)

4x -4x + 4y

= 4y

Hence, Max would be 4y meters ahead by 4pm

Answer:

Step-by-step explanation:

g(x) = 2x³ - 3x + 5

To find g(- 2) substitute the value of - 2 into g(x)

That's

g(- 2) = 2(-2)³ - 3(-2) + 5

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

= - 16 - 6 + 5

Hope this helps you

Answer:

The answer is A- 3.25x + 13.50 < 40

Answer:

13.50X+3.25 < 40

Answer:

x ≈ 2.3 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] ( multiply both sides by 4 )

4 × cos55° = x , thus

x ≈ 2.3 cm ( to 1 dec. place )

Complete Question:

The total volume of a tree increases 6% each year. What will its volume be after 7 years if its volume is 5 cubic meters now? A. 5(0.06)^7 B. 5(7)(0.06) C. 5(1.06)^7 D. 5(7)(1.06)

Answer:

C. 5(1.06)^7

Step-by-step explanation:

The volume of a tree increases by 7% every year

The formula we would be using is

V(t) = Vo (1 + r)t

Where V(t) = Volume after t years

Vo = Present of initial volume

r = rate of increase

t = time

From the question,

V(t) = Volume after t years = unknown

Vo = Present of initial volume = 5m³

r = rate of increase = 6% = 0.06

t = time = 7 in years

V(t) = 5 × ( 1 + 0.06)^ 7

V(t) =(5)(1.06)^7

Therefore, its volume be after 7 years if its volume is 5 cubic meters now is

Option C: (5)(1.06)^7

Answer:

a = 26°

b = 48°

c = 26°

d = 106°

Answer: (upside down fancy u) q5

Step-by-step explanation:

Simply apply the law of conservative (upside down fancy u)

Answer:

Option D is the correct option.

Step-by-step explanation:

y = - 2x - 3 → Equation ( i )

y = 3x + 2 → Equation ( ii )

Using elimination method

y + 2x = - 3

y - 3x = 2

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

5x = - 5

Divide both sides of the equation by 5

[tex] \frac{5x}{5} = \frac{ - 5}{5} [/tex]

Calculate

[tex]x = - 1[/tex]

Again, Putting the value of x in equation ( ii ) in order t get the value of y

[tex]y = 3x + 2[/tex]

plug the value of x

[tex] = 3 \times ( - 1) + 2[/tex]

Any expression multiplied by ( - 1 ) equals it's opposite

[tex] = - 3 + 2[/tex]

Calculate

[tex] = - 1[/tex]

Therefore, The possible solution of the system is the ordered pair ( x , y )

[tex](x \:, y \: ) = ( - 1 \:, - 1)[/tex]

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

Check if the given ordered pair is the solution of the system of equation

[tex] - 1 = - 2 \times ( - 1) - 3[/tex]

[tex] - 1 = 3 \times ( - 1) + 2[/tex]

Simplify the equation

[tex] - 1 = - 1[/tex]

[tex] - 1 = - 1[/tex]

Since all the equalities are true, the ordered pair is the solution of the system.

Hope this helps..

Best regards!!

Answer:

4c

Step-by-step explanation:

We can say that the maximum number of cars can be represented as:

Maximum number of cars = Total of rows × Number of cars per row

In this particular case, we have 4 rows and the number of cars per row is c, thus, the expression above becomes:

Maximum number of cars = 4c

Answer:

Whats the formula for the area of a rectangle?

L x W.  48 x 36 =  1728 sq inches.

Then divide by (12 x12 ) = 144 to find square feet

Step-by-step explanation:

Answer:

y = 12.9

Step-by-step explanation:

To find the value of the side y, simply apply the law of cosines.

y^2 = (14)^2 + (9)^2 - 2(14)(9)cos(64)

y^2 = 196 + 81 - 110.47

y^2 = 166.53

y = 12.9

Therefore, your solution should be y = 12.9

Cheers.

Hi there! :)

Answer:

B. 0 solutions.

Step-by-step explanation:

Given the equation 7(x + 2) = 7x - 10

Simplify:

7(x + 2) = 7x - 10

Distribute the 7 with the terms inside of the parenthesis:

7x + 14 = 7x - 10

Subtract "7x" and 14 from both sides:

7x - 7x = -10 - 14

0 ≠ - 24. The equation has no solutions.

Answer:

[tex]\boxed{\sf B. \ 0}[/tex]

Step-by-step explanation:

[tex]\sf 7(x + 2) = 7x-10[/tex]

Expand brackets.

[tex]\sf 7x+14 = 7x-10[/tex]

Subtract 7x and 14 from both sides.

[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]

[tex]\sf 0=-24[/tex]

There are 0 solutions.

Answer:

in one month : 13676.57/12=1139.71

the interest on 100000 is: 205148.48-100000=105148.48

Step-by-step explanation:

A=P(1+r)^t   (p is the mortgage, t is the time and r is the rate)

p=100000,t=15*12 month,r=4.8%( or 0.048)

A=100000(1+0.048/12)^(12*15)

A=205148.48 (the number rounded to the nearest hundredth)

205128.48 is the amount she has to pay it after 15 years

in one year : 205128.48/15=13676.57 ( rounded to nearest hundredth)

in one month : 13676.57/12=1139.71

the interest on 100000 is: 205148.48-100000=105148.48

Answer: 40x

First, let's find f(2x)

[tex]f(2x)=4(2x)=8x[/tex]

Using this, let's find g(f(2x)):

[tex]g(f(2x))=g(8x)=5(8x)=40x[/tex]

That's the answer. Let me know if you need any clarifications, thanks!

Answer:

80x²

Step-by-step explanation:

f(x) = 4x², g(x) = 5x

f(2x) = 4(2x)² = 16x²

g(f(2x)) = 5(16x²) = 80x²

Answer:

His gain percent is 20%

Step-by-step explanation:

In this question, we want to find the percentage gain of the business.

We need the following parameters;

The cost price which is the sum of the amount she bought the goods + the amount spent on transport

Using the values we have in the question;

The cost price will be;

13,600 + 400 = Rs 14,000

The selling price = Rs 16,800

Mathematically the percentage gain will be;

% gain = (selling price- cost price)/selling price * 100%

% gain = (16,800-14,000)/14,000 * 100/1

% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%

Answer:

350 meters cubed.

Step-by-step explanation:

If you visualize it, there are two rectangular prisms: one flat one on the top, and one large one on the bottom.

The width of the top one is 5 meters. The length is 7 meters. The height is 8 - 5 = 3 meters. So, one prism has a volume of 5m x 7m x 3m.

The width of the bottom one is 7 meters. The length is 7 meters. The height is 5 meters. So, the bottom prism has a volume of 7m x 7m x 5m.

(5 * 7 * 3) + (7 * 7 * 5)

= (35 * 3) + (49 * 5)

= 105 + 245

= 350

So, the volume of the figure is 350 meters cubed.

Hope this helps!

Answer:

0.0617

Step-by-step explanation:

so the formula is 1.96[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

P is the proportion (.45) and n is the sample size (250). Inserting these into the problem, we get 1.96[tex]\sqrt{\frac{.45(1-.45)}{250} }[/tex]. Solving this out, you should solve the inside of the square root to get .00099. Take the square root of this, and multiply by 1.96 to get your answer!

This method applies to any problems with the same basic format. Good luck!

Answer:

This is NOT a one solution problem.

Step-by-step explanation:

Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.

5.7c-1.5+3.2c=7.8c-1.5+1.1c

5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5

8.9c - 8.9c = 0

0 = 0

No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.

Answer:

[tex]a^2+b^2=c^2[/tex]

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula [tex]a^2+b^2=c^2[/tex] is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

Answer:

in a right triangle, the sum of the squares of the leg lengths is equal to the square of the hypotenuse length

Answer:

Step-by-step explanation:

Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:

[tex]tan(70)=\frac{?}{3}[/tex] and

3tan(70) = ? so

? = 8.24

Hey there! I'm happy to help!

We have 6 rock, 4 country, and 4 rap CDs. If we add these all together ,we have 14 total CDs.

Since there are 4 country CDs, we have a 4/14 chance of picking one, which simplifies to 2/7 chance.

Have a wonderful day!

Answer:

[tex] \frac{5x + 11}{3(x + 8)} [/tex]

Step-by-step explanation:

[tex] \frac{5x + 11}{3(x + 8)} [/tex]

Five times the sum of a number and eleven, divided by three times the sum of the number and eight

Five times the sum= 5(_+_)

a number and eleven= x+11

divided= ÷ or /

3 times the sum of= 3(_+_)

the number and eight.

Together it will be

[tex]the \: \: one \: written \: in \: the \: answering \: section[/tex]

Hope this helps ;) ❤❤❤