In 2005, the population of a town was 17,500. Suppose the population grows exponentially at a rate of 3% per year. Write an equation to model this situation, let x represent the number of years since 2005.

Answer:

A triangular prism has two bases and three lateral faces.

A triangular pyramid has one  base and three lateral faces.

Step-by-step explanation:

A triangular prism is a solid geometrical shape. The base is triangular in shape. There are two bases that are triangular. Other lateral faces are rectangular in shape. They are three in number.

A triangular pyramid is also a solid geometrical shape. The base is a polygon. The lateral faces are triangular in shape and are three in number. The lateral faces are congruent.

Answer:

So im to lazy to right the answer so just look above me so hows it going?

Step-by-step explanation:

Answer:

10.7 feet

Step-by-step explanation:

The ladder, the ground and the wall form the shape of a right angled triangle as shown in the image below.

The hypotenuse of the triangle is 14 feet (length of ladder)

The base of the triangle is 9 feet long (the distance from the base of the ladder to the wall)

We need to find the height of the triangle. We can apply Pythagoras rule:

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

where hyp = hypotenuse

a = base of the triangle

b = height of the triangle

Therefore:

[tex]14^2 = 9^2 + b^2\\\\196 = 81 + b^2\\\\b^2 = 196 - 81 = 115\\\\b = \sqrt{115} \\\\b = 10.7 feet[/tex]

The wall reaches 10.7 feet high.

Answer:

Step-by-step explanation:

The area for a rectangle is A = LW. We know the area and we also know the length. We are solving for the width.

[tex]112=7\sqrt{x}[/tex] and

[tex]16=\sqrt{x}[/tex]

Siince the width is given as the square root of x, and the square root of x is equal to 16, then the width is 16. Now to find the value of x from the last statement in our equation. If

[tex]16=\sqrt{x}[/tex] and we want to solve for x, we will square both sides, since squaring undoes a square root. Since this is an equation, we have to square both sides.

256 = x

The area of the rectangle is 112 units and the width is 16 units

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

A = 112 units

Let the length of the rectangle be L = 7 units

Let the width of the rectangle be W = √x units

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of the rectangle = 7 √x

7√x = 112

Divide by 7 on both sides of the equation , we get

√x = 16

Taking the square on both sides of the equation , we get

x = 16²

x = 256

Therefore , the value of x is 256

Hence , the width of the rectangle is √x = 16 units

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Answer:

A, B, and C

Step-by-step explanation:

EDGE unit test 2020

The rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C. Check more about Truth table below

The truth table is known to be a table that depicts the real value of any kind of compound statement.

Note that for every truth-value of a statements there is a similar table depicting the value of the output for all of the value of all of the  input and as such, rows that stands for when (p ∧ q) ∨ (p ∧ r) is true is row A, B, and C.

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Answer:

Step-by-step explanation:

the shaded area is a solution.

Answer:

the bottom one

Step-by-step explanation:

Answer:

k = 18

Step-by-step explanation:

6(3k + 15) − 16k = 7k

Distribute

18k +90 - 16k = 7k

Combine like terms

2k + 90 = 7k

Subtract 2k from each side

2k+90-2k = 7k -2k

90 = 5k

Divide by 5

90/5 = 5k/5

18 = k

Answer:

[tex]k = 18[/tex]

Step-by-step explanation:

[tex]6(3k + 15)- 16k = 7k \\ 18k + 90 - 16k = 7k \\ 18k - 16k - 7k = - 90 \\ - 5k = - 90 \\ \frac{ - 5k}{ - 5} = \frac{ - 90}{ - 5} \\ k = 18[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]\boxed{\sf \ \ \ d=6 \ \ \ }[/tex]

Step-by-step explanation:

we know (thanks to Pythagoras) that

[tex]d = \sqrt{5^2+3^2}= \sqrt{25+9}= \sqrt{36}=6[/tex]

Answer:

C(m) = 22.50 + .10m

Step-by-step explanation:

Cost = fee + mileage

Cost = 22.50 + .10m  where m is the number of miles

C(m) = 22.50 + .10m

Answer:

The formula is: [tex](x+2)^2+(y-3)^2=25[/tex]

Step-by-step explanation:

Recall the formula for the equation of a circle with center at the point  [tex](x_0,y_0)[/tex]of radius "R' as:

[tex](x-x_0)^2+(y-y_0)^2=R^2[/tex]

Therefore for your case, the formula becomes:

[tex](x-x_0)^2+(y-y_0)^2=R^2\\(x-(-2))^2+(y-3)^2=5^2\\(x+2)^2+(y-3)^2=25[/tex]

Answer:

the answer is have to be equal.

Step-by-step explanation:

you can always equal two similar triangles so that they become congruent.

In the ratio of the length of their sides is equal to one, they are congruent. So, all congruent triangles have to be similar but all similar triangles need not be congruent......the ratio of corresponding sides,AB/A'B'=BC/B'C'=CA/C'A'. If the two triangles are congruent AB/A'B'=BC/B'C'=CA/C'A'=1

I am glad to help you!!!!

Answer:

x^2+13x+40

Step-by-step explanation:

To solve this, use the FOIL method. Multiply the first terms, then the outside, then the inside and finally the last terms.

We have the binomials:

(x+5) and (x+8)

The first terms are x and x. The outside terms are x and 8. The inside terms are 5 and x. The last terms are 5 and 8.

Multiply these values.

F (first): x and x

x*x= x^2

O (outside): x and 8

x*8=8x

I (Inside): x and 5

x*5=5x

L ( Last): 5 and 8

5*8=40

Now, add all the products together.

x^2+8x+5x+40

Combine like terms. In this case, the like terms are 8x and 5x.

x^2+13x+40

The final trinomial (three terms) is: x^2+13x+40

Answer: X-7

Step-by-step explanation:

I put it into Tiger Algebra Calculator and that is what I got. Great tool btw I would recommend.

Answer:

3x+2x-4x+5-9+3

5x-4x+8-9

x-1

hope it helps

Answer:Case I

When we know two sides of the right triangle, in which case, we will use the Pythagorean theorem

Case II

When we know 1 side and 1 angle of the right triangle, in which case, we will use good old sohcahtoa

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

Since the central angles are congruent, and all radii are congruent, the triangles are congruent. By CPCTC x = 2.

Answer:

36.4miles per gallon

Step-by-step explanation:

Divide 45 1/2 by 1 1/4. This gives 36 2/5

Hope this helps.

Answer:

2/3

Step-by-step explanation:

i hope this helps but um... 2/1÷2/3=2/3

Answer:

w = -4

Step-by-step explanation:

→Distribute the 3 to (-w + 6):

14 + 3(-w + 6) = -11w

14 -3w + 18 = -11w

→Add like terms:

-3w + 32 = -11w

→Add 11w to both sides:

8w + 32 = 0

→Subtract 32 from both sides:

8w = -32

→Divide both sides by 8

w = -4

Answer:

w= -4

work:

14-3w+18=-11w

32-3w=-11

-3w+11w=-32

8w=-32 divide by 8 then you will get your answer

w=-4

Answer:

600

Step-by-step explanation:

x+2x=1800

3x=1800

x=600

Answer:

- 30

Step-by-step explanation:

The 2 numbers are x and 2x and thir product is 1800, that is

x × 2x = 1800

2x² = 1800 ( divide both sides by 2 )

x² = 900 ( take the square root of both sides )

x = ± [tex]\sqrt{900}[/tex] = ± 30

The 2 numbers are 30 and - 30 with - 30 being the lesser number

Answer:

m∠R = 112°, m∠S = 112°, m∠T = 68°

Step-by-step explanation:

In a cyclic quadrilateral QRST,

m∠R + m∠T = 180° [Since opposite angles of a cyclic quadrilateral measure 180°]

(3x + 40)° + (5x - 52)° = 180°

8x - 12 = 180

8x = 180 + 12

8x = 192

x = 24

m∠R = (3x + 40) = 3×24 + 40

                          = 72 + 40

                          = 112°

m∠T = 180° - m∠R

        = 180° - 112°

        = 68°

Since m∠Q = 68°

m∠S = 180° - m∠Q

        = 180° - 68°

        = 112°

Therefore, m∠R = 112°, m∠S = 112°, m∠T = 68°

Answer:

112, 112, 68

Step-by-step explanation:

It took me over 15 min to figure out what the answer was. When answering it, you have to be very specific.

Answer:

Step-by-step explanation:

nonlinear ig?

Answer:

B) 16%

Step-by-step explanation:

First, we need to standardize 58 and 66 inches using the following equation:

[tex]z=\frac{x-m}{s}[/tex]

Where m is the mean and s is the standard deviation, so 58 and 66 are equivalent to:

[tex]z=\frac{58-70}{4}=-3\\z=\frac{66-70}{4}=-1\\[/tex]

Then, the percent of men whose heights falls between 58 inches and 66 inches is calculated as:

P(58<z<66) = P(-3<z<-1)

So, using the normal table, we get:

P(-3<z<-1) = P(z<-1) - P(z<-3)

P(-3<z<-1) = 0.1587 - 0.0013

P(-3<z<-1) = 0.1574

Finally, 0.1574 rounded to the nearest whole percent is equal to 16%

Answer:

3

Step-by-step explanation:

The slope of the given line is [tex]\frac{2}{3}[/tex].

If a line passes through two points (x₁, y₁) and (x₂, y₂) respectively, then slope of the line is [tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Here, the given line passes through points (0, 6) and (-9, 0).

Therefore, the slope of this line is (m)

[tex]= \frac{0 - 6}{-9 - 0}\\= \frac{6}{9} \\= \frac{2}{3}[/tex]

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Answer:

4 * pi

Step-by-step explanation:

Given r = 10

Formula for the circumference of this full circle is:

2 * r * pi

2 * 10 * pi = 20 * pi

Given one (biggest) part = 16 * pi of this circle.

The other (smaller) part must therefore be:

20 * pi - 16 * pi

4 * pi

Answer:

XW = 80 feet

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle.

Please check the attachment for this.

We are told to calculate the length XW and this refers to the hypotenuse of the triangle.

The other side that we have is the adjacent.

So yo calculate the length of XW, we need a trigonometric identity that links hypotenuse and adjacent together.

The trigonometric identity to use here is the cosine.

Mathematically;

Cos of an angle = length of the adjacent/length of the hypotenuse

Cos 60 = 40/XW

XW = 40/Cos 60

Cos 60 = 1/2 or 0.5

XW = 40/0.5 = 80 feet

Answer:

Step-by-step explanation:

perimeter of the figure = perimeter of the rectangle + perimeter of the semicircle

= 2(l+B) + [tex]\pi[/tex] r

= 2( 10+8) + 3.14 × 5

= 36 + 15.7

= 51.7

= 100 ( rounding off to nearest hundredth )

hope this helps

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Answer:

48.57 ft

Step-by-step explanation:

Perimeter of Rectangle:

=> 2L+2B

Where L is length and B is Breadth

=> 2(10)+2(8)

=> 20+16

=> 36 ft

Here, Perimeter of Semi-circle:

=> πD/2

Where D = 8

=> (3.14)(8)/2

=> 12.57 ft

Perimeter of the figure

=> 36+12.57 = 48.57 ft

Answer:

Step-by-step explanation:

This is a binomial probability distribution and the probability of success and value is the same for each trial.

Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success is

89.4/100 = 0.894

If exactly 7 of the 10 have the right shape, should the company stop the production line, it means that the probability of getting right shaped tires in this case is 7/10 = 0.7

This is actually below the known probability of success. Therefore, the correct option is

Yes, as the probability of seven having the correct shape is unusual

Answer: -4

Step-by-step explanation:idk

Answer:

x= -4

Step-by-step explanation:

Take the two functions to equal to eachother, bring 7 to the right side of the equal sign which will now be negative and minus it with -1 to get -8 . Then divide 2 both sides to get x= -4.

Answer:

The answer is 8.3

Step-by-step explanation:

(I'm not that good at explaining things so bear with me please. I checked on Khan Academy so it's right)

I split the box on the right diagonally and got the equation

[tex]4^{2}[/tex] + [tex]2^{2}[/tex] = [tex]x^{2}[/tex]

=16 + 4 =[tex]\sqrt{20}[/tex]

≈4.5

The new triangle will help solve what d is

[tex]4.5^{2}[/tex] + [tex]7^{2}[/tex] = [tex]d^{2}[/tex]

=20.25 +49 = [tex]\sqrt{69.25}[/tex]

≈8.3

The diagonal of the rectangular prism shown is 8.3.

A polygonal is a closed, two-dimensional structure that is flat or plane and seems to have excellent dimensional.

A diagonal is a line segment that joins 2 opposing polygonal vertices.

In another word, a diagonal is an inclined line that connects two orthogonal lines to become a complete triangle.

Diagonal is the use for the idea of the length of sides, for example, if you want to measure the height of a tower knowing diagonal will surely help to do this.

Given a rectangular prism

Let x is the diagonal of the sides 7 and 4 then

By Pythagoras theorem

4² + 7² = x²

x² = 65

x=8.06

Now in the right-angle triangle of sides d,x and 2

d² = 65 + 4

D = √(69)

d  = 8.30 hence, the correct answer is 8.30.

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Answer:

Up by 3 units, right by 9 units.

Step-by-step explanation:

The subtraction in (x-9)^2 makes the function shift to the right, adding would make it shift left! Adding numbers to the equation would make the function go up, and subtracting would make it go down. Hope this helps :)