-2
Simplify the expression
4ab
Assume a = 0,6=0.
1
16a2b2
a²b²
4
-162²62
16ab2

Answer:

the previous population was 62,000.

Step-by-step explanation:

The current population of a city = 83,700

The population of a city has increased by 35% since it was last measured.

We have to calculate the previous population before increasing 35%.

Let the previous population be p

p +(35% × p) = 83,700

p + 0.35p = 83,700

1.35p = 83,700

p =  

p = 62,000

Therefore, the previous population was 62,000.

The population of a city has increased by 27% since it was last measured and the previous population was 62,000.

The current population of a city = 83,700

The population of a city has increased by 35% since it was last measured.

We have to calculate the previous population before increasing 35%.

A population is a distinct group of individuals, whether that group comprises a nation or a group of people with a common characteristic.

Let the previous population be p

p +(35% × p) = 83,700

p + 0.35p = 83,700

p = 83,700

p =  [tex]\frac{ 83,700}{1.35}[/tex]

p = 62,000

Therefore, the previous population was 62,000.

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Answer:

33.80

Step-by-step explanation:

AB = BC = AD√2

AB = BC = 7√2

AD = DC

AC = 2AD

perimeter = AC + AB + BC

= 2AD  + 2AB

= 2(7) + 2(7√2)

= 14 + 14√2

≈ 33.80

Answer:

33.8

Step-by-step explanation:

45-45-90 degree triangle rules states that the sides that are opposite the angles measure 45 degrees have the same value. That means that BD has the same value as AD, which is 7. Since triangle BDC is also a 45-45-90 degree triangle, DC is equal to BD, which is 7. We have the value of AC, which is 7+7=14. Now, we can use the Pythagorean theorem to figure out BC and AB. We know that [tex]DC^2+BD^2=BC^2[/tex]. We know that DC and BD is equal to 7, so we can simplify that to [tex]49+49=BC^2[/tex], and we can further simplify that to [tex]BC=\sqrt{98}[/tex]. This is also equal to [tex]7\sqrt{2}[/tex]. Since BC is also equal to AB because of 45-45-90 degree triangle rules, we have the perimeter of the triangle as

[tex]7\sqrt{2} + 7\sqrt{2}+14[/tex], which is equal to [tex]14\sqrt{2} + 14[/tex]. We can simplify 14 times the square root of 2 as 19.8 (rounded to 2 decimal places). We have the answer as 19.8 + 14, which is 33.8.

The volume of this pipe considering the thickness of the pipe is 154 cubic inches.

The general formula to calculate the volume of a cylindric object such as a pipe is:

In this formula, d represents the diameter and h represents the height.

The external diameter is 6 inches; however, the pipe is 1.25 inches thick, which implies the real internal diameter is 3.5.

Now, let's calculate the volume:

Learn more about cylindric in: https://brainly.com/question/14965384

Answer:

D. 154 cubic inches

Step-by-step explanation:

Answer:

m∠TRS = 6°

m∠U = 103°

Step-by-step explanation:

In the given figure,

O is the center

RS ∥ VU

m∠V = 103° &

m∠VRT = 71°

So,

m∠V +  m∠R = 180°                (∵ sum of co-interior angles)

⇒  m∠R = 180° - 103°              (m∠V = 103° is given)

∵ m∠R = 77°    ...(i)

Now,

m∠R =  m∠TRS +  m∠VRT

by putting the values given

⇒  m∠TRS = 77° - 71°

∵ m∠TRS = 6°  

As we know that,

VURT is a cyclic quadrilateral. So,

m∠U +  m∠R = 180°

⇒ m∠U +  77° = 180°            (from equation (i)

∵ m∠U = 180° - 77° = 103°

7^2 + 6^2 = h^2

49 + 36 = h^2

85 = h^2

√85 = h

h = 9.21m

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Answer:

C, 5/12

Step-by-step explanation:

The tangent of an angle is defined as the side opposite to that angle divided by the side adjacent to that angle. The tangent of angle A would be equal to the value of side BC divided by side AB. The value of side BC is 5, and the value of side AB is 12. The answer is 5/12.

Answer: ∠A=[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

Tangent is opposite over adjacent.

We know

[tex]\boxed{\sf Surface\:area=4\pi r^2}[/tex]

[tex]\\ \sf\longmapsto 4\pi r^2=7238[/tex]

[tex]\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{5066}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=575.75[/tex]

[tex]\\ \sf\longmapsto r^2\approx576[/tex]

[tex]\\ \sf\longmapsto r\approx\sqrt{576}[/tex]

[tex]\\ \sf\longmapsto r\approx24in[/tex]

Answer:

B. 24 in.

Step-by-step explanation:

The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:

SA = 4 π r^2

where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2

Rewriting the formula in terms of r:

r^2 = SA / 4 π

r = sqrt (SA / 4 π)

Solving for r:

r = sqrt (7238 in^2 / 4 π)

r = 24 in

Answer:

24 inches

Answer:

y = 4x - 12

Step-by-step explanation:

y = 4x + b

8 = 4(5) + b

8 = 20 + b

-12 = b

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]

Given that,

A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).

So,

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]

NOW,

The equation is :

[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]

Answer:

Smaller figure: 1/3

Larger figure: 3

Answer:

1:3

Step-by-step explanation:

divided the sides

8/24 = 1/3 = 1:3

Answer:

B-bracket

O-of

D-division

M-multiplication

A-addition

S-subtraction

Step-by-step explanation:

18-3×5+32÷4

18-3×5+8 (by dividing 32 by 4 = 8)

18-15+8(by multiplying 3×5=15)

18-7( by -15 +8= 7 )

11

hence proved

11 is the answer by BODMAS rule .

hope this helps you

mrk me braniliest

Answer:

A. (x+3)(x - 3)

Step-by-step explanation:

x^2 -9

Rewriting

x^2 - 3^2

We know that a^2 - b^2 = (a-b)(a+b)

(x-3)(x+3)

Answer:

[tex]\left(x+3\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]x^2 -9[/tex]

To factor an integer, we need to divide it by the ascending sequence of primes  (2, 3, 5). The number of times each prime divides the original integer becomes its exponent. [tex]3^{2} =9[/tex]

Now, we need to factor this expression by applying the difference of two squares rule:

[tex]A^{2} -B^{2} =(A+B)(A-B)[/tex]

A= x and B= 3

[tex](x+3)(x-3)[/tex]

OAmalOHopeO

Answer:

C) [tex]\frac{2z+15}{6x-12y}[/tex]

E) [tex]\frac{7d+5}{15d^2+14d+3}[/tex]

F) [tex]\frac{-7a-b}{6b-4a}[/tex]

Step-by-step explanation:

C)

One is given the following equation

[tex]\frac{z+1}{x-2y}-\frac{2z-3}{2x-4y}+\frac{z}{3x-6y}[/tex]

In order to simplify fractions, one must convert the fractions to a common denominator. The common denominator is the least common multiple between the given denominators. Please note that the denominator is the number under the fraction bar of a fraction. In this case, the least common multiple of the denominators is ([tex]6x-12y[/tex]). Multiply the numerator and denominator of each fraction by the respective value in order to convert the fraction's denominator to the least common multiple,

[tex]\frac{z+1}{x-2y}-\frac{2z-3}{2x-4y}+\frac{z}{3x-6y}[/tex]

[tex]\frac{z+1}{x-2y}*\frac{6}{6}-\frac{2z-3}{2x-4y}*\frac{3}{3}+\frac{z}{3x-6y}*\frac{2}{2}[/tex]

Simplify,

[tex]\frac{z+1}{x-2y}*\frac{6}{6}-\frac{2z-3}{2x-4y}*\frac{3}{3}+\frac{z}{3x-6y}*\frac{2}{2}[/tex]

[tex]\frac{6z+6}{6x-12y}-\frac{6z-9}{6x-12y}+\frac{2z}{6x-12y}[/tex]

[tex]\frac{(6z+6)-(6z-9)+(2z)}{6x-12y}[/tex]

[tex]\frac{6z+6-6z+9+2z}{6x-12y}[/tex]

[tex]\frac{2z+15}{6x-12y}[/tex]

E)

In this case, one is given the problem that is as follows:

[tex]\frac{2}{3d+1}-\frac{1}{5d+3}[/tex]

Use a similar strategy to solve this problem as used in part (c). Please note that in this case, the least common multiple of the two denominators is the product of the two denominators. In other words, the following value: ([tex](3d+1)(5d+3)[/tex])

[tex]\frac{2}{3d+1}-\frac{1}{5d+3}[/tex]

[tex]\frac{2}{3d+1}*\frac{5d+3}{5d+3}-\frac{1}{5d+3}*\frac{3d+1}{3d+1}[/tex]

Simplify,

[tex]\frac{2}{3d+1}*\frac{5d+3}{5d+3}-\frac{1}{5d+3}*\frac{3d+1}{3d+1}[/tex]

[tex]\frac{2(5d+3)}{(3d+1)(5d+3)}-\frac{1(3d+1)}{(5d+3)(3d+1)}[/tex]

[tex]\frac{10d+6}{(3d+1)(5d+3)}-\frac{3d+1}{(5d+3)(3d+1)}[/tex]

[tex]\frac{(10d+6)-(3d+1)}{(3d+1)(5d+3)}[/tex]

[tex]\frac{10d+6-3d-1}{(3d+1)(5d+3)}[/tex]

[tex]\frac{7d+5}{(3d+1)(5d+3)}[/tex]

[tex]\frac{7d+5}{15d^2+14d+3}[/tex]

F)

The final problem one is given is the following:

[tex]\frac{3a}{2a-3b}-\frac{a+b}{6b-4a}[/tex]

For this problem, one can use the same strategy to solve it as used in parts (c) and (e). The least common multiple of the two denominators is ([tex]6b-4a[/tex]). Multiply the first fraction by a certain value to attain this denomaintor,

[tex]\frac{3a}{2a-3b}-\frac{a+b}{6b-4a}[/tex]

[tex]\frac{3a}{2a-3b}*\frac{-2}{-2}-\frac{a+b}{6b-4a}[/tex]

Simplify,

[tex]\frac{3a}{2a-3b}*\frac{-2}{-2}-\frac{a+b}{6b-4a}[/tex]

[tex]\frac{-6a}{6b-4a}-\frac{a+b}{6b-4a}[/tex]

[tex]\frac{(-6a)-(a+b)}{6b-4a}[/tex]

[tex]\frac{-6a-a-b}{6b-4a}[/tex]

[tex]\frac{-7a-b}{6b-4a}[/tex]

she needs 130 points saved up

Answer:

13

Step-by-step explanation:

Answer:

the graph curve will goes above f(x)=x^2.f(x)=3*x^2 curve will also give higher value same value of x .

Step-by-step explanation:

Answer:

The first option is the right one.

Step-by-step explanation:

7/2. Rate is rise/run

7 is your rise

and 2 is your run

therefore, the answer is 7/2

Answer:

In the sciences, many times it is necessary to be able to interpret graphs as well as be able to graph certain equations. Often data is available in a graphical format and you must be able to extract the necessary information. Other times, it may be helpful to plot an equation in order to fully understand a problem. However, graphing can be difficult for some students. The format in this section is a little different. The first part will be simply showing what some special equations look like in graphical form and the second part will be a series of questions to help you understand graphs better.

Step-by-step explanation:

Answer:

where there is x in the equation we put 0

For y

=2(0)+3y=8

=0+3y=8 Group likely terms

=3y=8-0

=3y=8 Divide both sides by 3

=3y/3=8/3

Therefore y=2.6

For x

=2x+3y=8

=2x+3(0)=8

=2x+0=8 Group likely terms

=2x=8-0

=2x=8 Divide both sides by 2

=2x/2=8/2

Therefore x=4

The smallest numbers for x and y is 4 and 2.6 respectively

Answer:

a2=12 (the second term of the sequence is 12)

Step-by-step explanation:

a5=324

If the term to term rule is multiply by any number, we deal with geometrical sequence

The formula you should use is an= a1*r^(n-1)  where n is the number of the term which we know. In our case we know

a5, so use 5 instead of n

Then you have a5=a1*r^4 where r is the number 3 (because each next term is greater than previous in 3 times)

a5=324

324= a1*3^4

324=a1*81

a1=4 (We find the first term of sequence, because having it you can easily search for every term )

Return to the formula an= a1*r^n-1

Now search for the second term using 2 instead of n in the formula

a2= a1*r^1

a2=a1*r, a1=4, r=3

a2=4*3=12

Answer:

smart dot company would be c=.50t+12

communication plus would be c=2.50t

Step-by-step explanation:

smart dot starts with $12 a month and adds $0.50 for each hour of internet use. communication plus has no starting fee so it just adds $2.50 for each hour of internet use.

So then for the table you would put the number given for time in for the letter t and find what c would be. This would then find your cost for that amount of hours. To get you started smart dot company starts off with 0 hours so put that in for t being c=0.50(0)+12 and c=12. Communication plus also starts with 0 so it would be c=2.50(0) and c=0

Then you graph once you have both values you can graph having x=time and y=cost

Let me know if this helps!

Answer:

Student has made an error

Step-by-step explanation:

If two figures are said to be congruent, this implies that area of both is same and both as exactly same or copy or each other.

But from the graph, it can be stated that height of figure JKLM is 4 units whereas that of other is 6 unit.

Hence explained !

Answer: 53 and 54

Explanation

Let the consecutive numbers be x and x + 1

ATQ

x + x + 1 = 107

2x = 107 - 1

x = 106/2

x = 53

Therefore the numbers are 53 and 54

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Answer:

x = 53, x + 1 = 54

Step-by-step explanation:

Consecutive integers are two numbers that are after each other. (This is confusing wording, but hopefully this example helps):

Regular consecutive numbers: 1, 2, 3

Even consecutive numbers: 2, 4, 6

Since in this problem the numbers are not given you will use variables.

x + x + 1 = 107

Solve:

x + x + 1 = 107

2x + 1 = 107

      -1      -1

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

2x = 106

---    -----

2      2

  x = 53

x + 1

53 + 1 = 54

Hope this helped.

Answer:

383.54 m

Step-by-step explanation:

The length of the training track running around the field = circumference of the circle formed by the two semicircles + 2(length of the rectangle)

The two semicircles forms a fill circle with diameter (d) = width of rectangle = 61 m

Length of rectangle (L) = 96 m

π = 3.14

The length of the training track running around the field = πd + 2(L)

Substitute the values

The length of the training track running around the field = 3.14*61 + 2(96)

= 191.54 + 192

= 383.54 m

Answer:

a triangle is a closed polygon that consists of three sides and three angles,and it's one of the basic shape that we basic shape that we knowing geometry.

Answer:

S.D=46.04

Step-by-step explanation:

steps are in the picture.

If you have question about it you can ask.Thanks

Given that the vertex is at (50, 1000), the max profit is $1000 when 50 items are produced

Answer:

=17x²-x

Step-by-step explanation:

=x.(9x²+18x-x-2)-x.(9x²-1)

=x.(9x²+17x-2-9x²+1)

=x.(17x-1)

=17x²-x

Answer:

160 chemistry books and 80 history books

Step-by-step explanation:

C=chemistry books sold, H=history books sold

C=2H

C+H=240, 3H=240, H=80, C=160

Answer:

it is linear

Step-by-step explanation:

Both of these both lines are perpendicular to each other.

We have the two equations of straight lines :

− 6x + 8y = −1 and −4x − 3y = 2.

We have to identify the relation between these two lines.

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question, we have -

−6x + 8y = −1           ...(1)

−4x − 3y = 2            ...(2)

Rearranging the terms of the equations we get -

y = [tex]\frac{3}{4} x - \frac{1}{8}[/tex]                 ...(3)

and

y = [tex]\frac{-4}{3}x - \frac{2}{3}[/tex]               ...(4)

When compared -

The slope of line −6x + 8y = −1 is m(1) = [tex]\frac{3}{4}[/tex].

The slope of line −4x − 3y = 2  is m(2) = [tex]\frac{-4}{3}[/tex].

We can see that -

m(1) x m(2) = - 1

The product of the slopes of two perpendicular lines is -1.

Hence, these both lines are perpendicular to each other.

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