The population growth of a certain city is given by the function P(t) = 0.9(1.5)^t, where t is time in years. Estimate lim P(t), if it exists.

Answer:

Step-by-step explanation:

Let's assume that,

→ Length = 2x

→ Width = x

→ Perimeter = 30

Perimeter of rectangle formula,

→ P = 2(L + W)

Now the value of x will be,

→ P = 2(L + W)

→ 2(2x + x) = 30

→ 2 × 3x = 30

→ 6x = 30

→ x = 30/6

→ [ x = 5 ]

Then required dimensions are,

→ Length = 2x = 2 × 5 = 10

→ Width = x = 5

Hence, these are the dimensions.

Length = 10

width = 5

Given-

Perimeter =30

l=2b........................................................ i

so

P =2(l+b)

here

30 = 2(2b +b)... ... ..............         as l=2b from i

30 = 2*3b

30 = 6b

b= 5

which implies l= 2*5 --->10............................................ from i

so

Length = 10

width = 5

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Answer:

range is y-coordinates so it should be 40

Step-by-step explanation:

domain is x-coordinates

Answer:

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

4 1/2% of 50 is 4.5% of 50 which is same as:

or substituting % with 1/100,

The matching choices are A and B.

Answer:

1) 17.5×14×64

2) volume= 0.5×3.6×10×5=

3) d= 13, r=13/2= 6.5, h= 19

4) Base Area= a+b/2×h

5) L×W×H

6) v=πr²h

[tex]------------[/tex]

hope it helps...

have a great day!!

[tex] \huge \boxed{1}[/tex]

→17.5 × 14 × 6.4

→1568 in³

[tex] \huge \boxed{2}[/tex]

→0.5 × 3.6 × 10 × 5

→90 m³

[tex] \huge \boxed{3}[/tex]

→ Diameter = 13 mm

→ Radius = 13/2 = 6.5

→ Height = 19 mm

→Volume => πr²h

=> 22/7 × (6.5)² × 19

=> 2521.91 mm³

[tex] \huge \boxed{4}[/tex]

→ Base Area → a+b/2×h

→ (37+15)/2×25.7 cm²

→26×25.7 cm²

→ 668.2 cm²

(height= 20cm)

→volume => 668.2×20

→13364 cm²

[tex] \huge \boxed{5}[/tex]

→Area→ L × B × H

→ 25×7×18

→ 175×18

→ 3150 ft³

[tex] \huge \boxed{6}[/tex]

→Volume → πr²h

→ π(3.2²)(8)

→ 81.92π

→ 257.36 km²

[tex] \boxed{Extra-Information}[/tex]

[tex] \bold \green{TheExtraterrestrial}[/tex]

Answer:

x

)

=

2

x

4

−

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

−

1

x−1?

Answer:

32 mutipliy 20 and 5

Step-by-step explanation:

Answer:

27/1

Step-by-step explanation:

3³=3·3·3=27

27=27/1

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]5(x + 2) = 7(4 - x) \\ 5x + 10 = 28 - 7x \\ 5x + 7x = 28 - 10 \\ 12x = 18 \\ x = \frac{18}{12} \\ x = \frac{3}{2} \\ x = 1.5[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Therefore , the solution of the given problem of ratio comes out to be  15:73 ratio simplified is 15/73.

A ratio or fraction in math displays how many times one number is contained in another. For instance, the proportion of oranges to lemons in a bowl of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3 or decimal 1.333).

Here,

To simplify the ratio 15:73, we find the greatest common divisor of 15 and 73, and then we divide 15 and 73 by the greatest common divisor.

The greatest common divisor that you can use to simplify 15:73 is 1. Which means the answer to ratio 15:73 simplified is:

Here is the math to illustrate better:

15/1 = 15 and 73/1 = 73

Thus, 15:73 ratio simplified is 15/73

Therefore , the solution of the given problem of ratio comes out to be  15:73 ratio simplified is 15/73.

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Answer:

ITS B

Step-by-step explanation:

I hope im right srry if im not i hope you to disney and stay safe

it is 17371.8 I put it into a calculator and got it haha

Answer:

Below in bold.

Step-by-step explanation:

First find the height by use Pythagoras theorem on the right triangle:

h = sqrt (5^2 - 4^2)

= sqrt 9

= 3.

Volume of the prism = area of the triangle * length

= 1/2 * 3 * 4 * 10

= 1/2 * 12 * 10

= 60 cm^3.

Total area = area of 2 triangles + area 0f 3 rectangles

= 2 * 1/2 * 3 * 4 + 3 * 10 +  4 * 10 + 5 * 10

= 12 + 30 + 40 + 50

= 132 cm^2.

To prove the converse of the Pythagorean theorem, we can define a right triangle Δ DEF with sides a, b, and x.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

ΔABC and ΔDEF

To prove the converse of the Pythagorean theorem, we can define a right triangle DEF with sides a, b, and x.

Thus,

ΔDEF is filled in the box.

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Answer:

I'm pretty sure it would be 48 divided by 8 which would be 6

Step-by-step explanation:

Answer:

-93

Step-by-step explanation:

Substitute by - 3 instead of X

Answer:38cm2

Step-by-step explanation:

The area of right angle triangle is 36 sq.cm. Whose base 9, Height 8 .

Base is 9 cm.

8 centimeters tall.

Triangle area equals 1/2 x base x height

Triangle's area is 1/2 x 9 x 8 = 36 square centimeters.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a shape on paper is the area that it occupies. Consider your square as being composed of smaller unit squares.

The surface inside a flat figure is measured by its area. Squares are used to measure area. To obtain the square units, multiply the length by the width.

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Answer:

Answer:

Since the calculated value of t =4.629 falls in the critical region t> 2.355 we  reject the null hypothesis and  conclude that method 1 was more successful than method 2 at the 1% level.

Step-by-step explanation:

Applying two sample t test as both methods are independent

The null and alternate hypotheses are

H0: u1= u2   against the claim Ha: u1> u2

The significance level is 0.01 and the critical region is  t > t∝( n-1)

The degrees of freedom is calculated using the formula

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

This formula is used when the the variances are unequal.

So as we do not know anything about variances we assume they are unequal.

The calculated degrees of freedom is 132

The critical region is t >  2.355 for one tailed test.

The test statistic is

t= x1`- x2`/ √s1²/n1 + s2²/n2

t= 85-83/ √3²/75+ 2²/60

t= 2/ 0.432

t= 4.629

Since the calculated value of t =4.629 falls in the critical region t> 2.355 we  reject the null hypothesis and  conclude that method 1 was more successful than method 2 at the 1% level.

Answer:

B. 8

Step-by-step explanation:

6, 15, 7, 5, 11, 11, 8

5, 6, 7, 8, 11, 11, 15

The middle number is 8.

Answer:

8

Step-by-step explanation:

Answer:

5/g

Step-by-step explanation:

Answer: 1000 times less

Step-by-step explanation: multiply 0.054x1000

Answer:

1000 times

Step-by-step explanation:

To find how many times less 0.054 is than 54,

we can divide 54 by 0.054.

This gives us 54/0.054 = 1000

This means that 0.054 is 1000 times less than 54.

Given:

A mother is now 2 and a half times old as her daughter Mary.

Four years ago the ratio of their ages was 3:1.

To find:

The present age of the mother.

Solution:

Let x be the present age Mary's mother and y be the present age of Mary.

A mother is now 2 and a half times old as her daughter Mary. So,

[tex]x=2\dfrac{1}{2}y[/tex]

[tex]\dfrac{x}{y}=\dfrac{2(2)+1}{2}[/tex]

[tex]\dfrac{x}{y}=\dfrac{5}{2}[/tex]

It means the ratio of their present age is 5:2. Let 5z be the present age of Mary's mother and 2z be the present age of Mary.

Four years ago the ratio of their ages was 3:1.

[tex]\dfrac{5z-4}{2z-4}=\dfrac{3}{1}[/tex]

[tex]1(5z-4)=3(2z-4)[/tex]

[tex]5z-4=6z-12[/tex]

[tex]-4+12=6z-5z[/tex]

[tex]8=z[/tex]

Now, the present age of the mother is:

[tex]5z=5(8)[/tex]

[tex]5z=40[/tex]

Therefore, the present age of the mother is 40 years.

Answer:

The answer is [tex]12\log{(x(x-2))}[/tex]

Step-by-step explanation:

Exponential property of logarithm:

We have that:

[tex]a \log{x} = \log{x^{a}}[/tex]

Sum of logarithms:

We have that:

[tex]\log{a} + \log{b} = \log{ab}[/tex]

Applying the exponential property:

[tex]3\log{x} = \log{x^3}[/tex]

[tex]4\log{(x-2)} = \log{(x-2)^4}[/tex]

So

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

Additive property

[tex]\log{x^3} + \log{(x-2)^4} = \log{x^3(x-2)^4} = \log{(x(x-2))^12}[/tex]

Exponential property:

[tex]\log{(x(x-2))^12} = 12\log{(x(x-2))}[/tex]

The answer is [tex]12\log{(x(x-2))}[/tex]

In a 30-60 right triangle the side opposite the 30 degree angle is half the length of the hypotenuse.

so RT= 10

Step-by-step explanation:

In ∆PQR and ∆TSU

[tex]\because\begin{cases}PQ\approx TS \\ QR\approx TU \angle \\ Q\approx \angle T\end{cases}[/tex]

[tex]\therefore{∆PQR\approx ∆TSU(\because SAS)}[/tex]

And

Answer:

-7, 7

Step-by-step explanation:

Opposites are basically two numbers that are at different sides of the number line. For example, -2 and 2 are opposites because they are the same distance away from 0 on a number line making them opposites. To make an opposite just take a positive number, and then add a negative to it. (8, -8) Hope that helps :)