Between 1924 and 1969 the number of inhabitants of a village increased from 760 to 1026.

Calculate the percentage increase in the number of inhabitants over this period.

Answer:

a=acceleration due to gravity=9.8m/s²

v=final velocity

u=initial velocity

t=time taken

Answer:

5,2

Step-by-step explanation:

the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2

what do you mean? theres no math. we cant answer this.

x+x is equal to 0

Answer:

2x

Step-by-step explanation:

x + x = 2x

Answer:

[tex] \dfrac{2x}{x + 7} [/tex]

Step-by-step explanation:

[tex] \dfrac{4x^2 - 16x}{2x^2 + 6x - 56} = [/tex]

Factor the numerator and denominator.

[tex]= \dfrac{4x(x - 4)}{2(x^2 + 3x - 28)}[/tex]

[tex]= \dfrac{4x(x - 4)}{2(x + 7)(x - 4)}[/tex]

[tex] = \dfrac{2x}{x + 7} [/tex]

Answer:

7/2 or 3 1/2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

3/2 + 4/2 = 7/2

Hope this helps!!

Answer:

∠ 1 = 94°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

130° is an exterior angle of the triangle, then

∠ 1 + 36° = 130° ( subtract 36° from both sides )

∠ 1 = 94°

Answer:

need this  anyone got it?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

616.8

Step-by-step explanation:

look it up

Answer:

616.8 quarts

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\textsf{28 + 24p = 36}[/tex]

[tex]\textsf{24p + 28 = 36}[/tex]

[tex]\large\textsf{SUBTRACT 28 to BOTH SIDES}[/tex]

[tex]\textsf{24p + 28 - 28 = 36 - 28}[/tex]

[tex]\large\textsf{CANCEL out: 28 - 28 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 36 - 28 because that helps solve for the p-value}[/tex]

[tex]\textsf{36 - 28 = \bf 8}[/tex]

[tex]\large\textsf{NEW EQUATION: 24p = 8}[/tex]

[tex]\large\textsf{DIVIDE 24 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{24p}{24}=\dfrac{8}{24}}[/tex]

[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{24}{24}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{KEEP: }\mathsf{\dfrac{8}{24}}\large\textsf{ because that helps you solve for the p-value any}\\\\\large\textsf{gives you the value of it}[/tex]

[tex]\mathsf{p= \dfrac{8}{24}}\\\\\\\mathsf{p = \dfrac{8\div8}{24\div8}}\\\\\\\mathsf{8\div8=\bf 1}\\\\\mathsf{24\div8=\bf 3}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf p = \dfrac{1}{3}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

1/3

Step-by-step explanation:

Got a 100 on T4L

Answer:

B is the answer.

Step-by-step explanation:

Given equations y + x = 5 and 5x + 5y = 25.

These equations have infinetely many solutions because they are equivalent.

This can be proven by the multiplicative property of equality and the commutative property of addition.

y + x = 5 → y × 5 + x × 5 = 5 × 5 [multiplicative property of equality] → 5y + 5x = 25 → [commutative property of addition] 5x + 5y = 25.

A)  [tex]-\sqrt{5}[/tex]

D)  [tex]\pi[/tex]

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

Explanation:

Choices B and C are rational because we can simplify them to form a fraction of integers.

[tex]-\sqrt{49} = -7 = -\frac{7}{1}[/tex]

[tex]\sqrt{0} = 0 = \frac{0}{1}[/tex]

Any rational number is of the form P/Q where P,Q are integers and Q is nonzero.

So we can rule out choices B and C.

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

Choice A on the other hand cannot be written as a fraction of integers. The 5 isn't a perfect square, which makes [tex]-\sqrt{5}[/tex] irrational.

The same can be said about [tex]\pi[/tex] which is roughly equal to 3.14; the decimal digits go on forever without a known pattern.

Choice A and choice D are the two answers.

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

If we know the pattern of the decimal digits, then we can turn the decimal number into a fraction of integers

The number -0.777, where the 7s go on forever, converts to the fraction -7/9

That means we rule out choice E.

Step-by-step explanation:

[tex]\cos^{4} x - \sin^{4} x[/tex]

[tex]= ( \cos^{2} x + \sin^{2} x)( \cos^{2} x - \sin^{2} x)[/tex]

[tex] = (1 - \sin^{2} x + \sin^{2} x)( 1 - \sin^{2} x - \sin^{2} x)[/tex]

[tex] = 1 - 2\sin^{2} x[/tex]

Note: I replaced all cos^2x terms using the identity

[tex]\cos^{2} x = 1 - \sin^{2} x[/tex]

Answer:

The vertex of the graph is at (-4,1) and thus leading  the axis of symmetry be at x=-4.

Step-by-step explanation:

Answer:

B. capacity.

Step-by-step explanation:

In this scenario, Mahak is measuring the maximum space inside a watering can. Thus, this is a measure of capacity because it gives the exact information as to the quantity of water the watering can hold at any given time.

Basically, the capacity of a container is a measure of the volume of fluid or any other substance that it is able to hold, which is typically measured in litres or cubic centimeters.

For example, if the shape of the watering can is cylindrical; its capacity (volume) would be measured using a mathematical expression.

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

Answer:

Solution given;

angle =270°

radius [r]=8cm

we have

length of arc =270°/360°×2×π*r

=270°/360°×2×3.14*8=37.68cm

length of the arc is 37.68cm.

Answer:

150 mins

Step-by-step explanation:

Answer:

150 minutes

Step-by-step explanation:

Answer:

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

Two hours after Tom began Tom would cover 12 miles and three hours after Linda started Linda would be 6 miles far away from the starting point

Step-by-step explanation:

Linda walks in a straight line at 2 miles/hour

then after t ( hours time) she is    2 (m/h) * t   = d (L)

for Tom running at 6 m/h starting one hour later to cover the same distance d(L)

d(L)  =  6 m/h * ( t - 1 )    then:

2 (m/h) * t   =   6 m/h * ( t - 1 )

2*t  =  6*t - 6

4*t = 6

t = 6/4

t =  1,5 h

Checking that result.

we see that in 1,5 hours Linda has covered  2* 1,5  = 3 miles

and  in 0.5 hours  Tom covered the same distance  0,5 * 6 = 3 miles

NOTE: Remember that tom started one hour later.

Then 1/2 or  30 minutes is the required time for Tom to cover the exact distance that Linda one hour before.

b)  In this case

d(T) = 6* ( t - 1 )       must be equal  to  twice of the Linda distance

d(L)  = 2 * 2 * t

6*t - 6  =  4*t

2*t  =  6

t  = 3

To check it

in 3 hours   Linda had covered  3 * 2  =  6 miles

in 2 hours   Tom had covered   2 * 6  =  12 miles

Answer:

The room is 19,5m long and 13m wide.

Step-by-step explanation:

1cm -> 6,5m

3cm -> 19,5m

2cm -> 13m

Answer:

2915

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

m∠ABC = 150°

Step-by-step explanation:

180° - 90° = 90°

[tex](2x+14)+(x+7)=90[/tex]

[tex](2(23)+14)+(23+7)=90[/tex]

[tex]((46)+14)+(30)=90[/tex]

[tex](60)+(30)=90[/tex]

[tex]x=23[/tex]

90° + 60° = 150°

Answer:

8 questions each for short answer questions and 8 questions of Multiple Choice Questions type.

A total of 16 questions.

Step-by-step explanation:

The number of multiple-choice questions and the number of short answer type questions are the same.

Let it be equal to [tex]x[/tex]

→Average time it takes to attempt multiple choice question = 2 minutes

→Total time it takes to attempt multiple choice question = [tex]2 * x[/tex] minutes

→Average time it takes to attempt short answer type question = 3.5 minutes

→Total Time it takes to attempt short answer type question = [tex]3.5 * x[/tex] minutes

Total time for the test should be less than 45 minutes.

Now finally, we can make an equation out of the information listed above:

[tex]2x +3.5x <45[/tex]

[tex]\\ 5.5x <45[/tex]

[tex]x < 8.18[/tex]

Hence the value of [tex]x = 8[/tex]

Answer:

[tex]y = \tan(x + \frac{x^2}{2})[/tex]

Step-by-step explanation:

Poorly formatted question; The complete question requires that we prove that [tex]y=\tan(x+\frac{x\²}{2})[/tex]

When

[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex] and [tex]y(0)=0[/tex]  

We have:

[tex]\frac{dy}{dx} =1+xy\²+x+y\²[/tex]

Rewrite as:

[tex]\frac{dy}{dx} =1+x+xy\²+y\²[/tex]

Factorize

[tex]\frac{dy}{dx} = (1+x)+y\²(x+1)[/tex]

Rewrite as:

[tex]\frac{dy}{dx} = (1+x)+y\²(1+x)[/tex]

Factor out 1 + x

[tex]\frac{dy}{dx} = (1+y\²)(1+x)[/tex]

Multiply both sides by [tex]\frac{dx}{1 + y^2}[/tex]

[tex]\frac{dy}{1+y\²} = (1+x)dx[/tex]

Integrate both sides

[tex]\int \frac{dy}{1+y\²} = \int (1+x)dx[/tex]

Rewrite as:

[tex]\int \frac{1}{1+y\²} dy = \int (1+x)dx[/tex]

Integrate the left-hand side

[tex]\int \frac{1}{1+y\²} dy = \tan^{-1}y[/tex]

Integrate the right-hand side

[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex]

[tex]y(0)=0[/tex] implies that: [tex](x,y) = (0,0)[/tex]

So:

[tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes

[tex]\tan^{-1}(0) = 0 + \frac{0^2}{2} + c[/tex]

This gives:

[tex]0 = 0 +0 + c[/tex]

[tex]0 =c[/tex]

[tex]c = 0[/tex]

The equation [tex]\tan^{-1}y = x + \frac{x^2}{2} + c[/tex] becomes

[tex]\tan^{-1}y = x + \frac{x^2}{2} + 0[/tex]

[tex]\tan^{-1}y = x + \frac{x^2}{2}[/tex]

Take tan of both sides

[tex]y = \tan(x + \frac{x^2}{2})[/tex] --- Proved

Answer:

408.4

Step-by-step explanation:

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

Answer:

Step-by-step explanation:

[tex]3x^2 -8x +5 = 5x^2\\\\5x^2 - 3x^2 + 8x -5 =0\\\\2x^2 +8x -5 = 0\\\\[/tex]

a = 2, b = 8, c = -5

[tex]x = \frac{-b \pm \sqrt{b^2 -4ac} }{2a}\\\\x = \frac{-8 \pm \sqrt{8^2 - ( 4 \times 2 \times (-5))} }{2 \times 2}\\\\x = \frac{-8 \pm \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{64 +40} }{4} \ , \ x = \frac{-8 - \sqrt{64 +40} }{4}\\\\x = \frac{-8 + \sqrt{104} }{4} \ , \ x = \frac{-8 - \sqrt{104} }{4}\\\\x = \frac{-8 + \sqrt{4 \times 26} }{4} \ , \ x = \frac{-8 - \sqrt{4 \times 26} }{4}\\\\x = \frac{-8 +2 \sqrt{26} }{4} \ , \ x = \frac{-8 - 2\sqrt{26} }{4}\\\\[/tex]

[tex]x = \frac{-4 + \sqrt{26} }{2} \ , \ x = \frac{-4 - \sqrt{26} }{2}[/tex]

Answer:

2+2=4 and 4*4=16 16+2 = 18 so WOOSH your answer is now a legal adult

Step-by-step explanation:

d nuts