Suppose a city with population 800,000 has been growing at a rate of 7% per year. If this rate continues, find the population of this city in 17 years.

Answer:

c(3c - 1)

Step-by-step explanation:

3c² - c

Common factor = c

Factored:

c(3c - 1)

Answer:

log_5(u^6)

Step-by-step explanation:

According to log rules, log_a(b^n) = nlog_a(b), reversing this we get that log_5(u^6) is what you are looking for.

The answer should be A because when I put them on a graph they were in the shape of a square/rectangle

Answer:

-4

Step-by-step explanation:

Given the expression

h(x) = -x^2 +4x

h(-2) = (-2)^2 + 4(-2)

h(-2) = 4  + (-8)

h(-2) = 4 -  8

h(2) = -4

Hence the value of the function when x = -2 is -4

Answer:

The first line

Step-by-step explanation:

Answer:

Question 1

Given

Use formula and solve for x:

Cost price is N 120

Question 2

Given

Use formula and solve for x:

Cost is N 12500

Answer:

-3, 3, 9

Step-by-step explanation:

Answer on Edge

Answer:

6 centimetres

Step-by-step explanation:

Square root 36 = 6

Answer:

6

Step-by-step explanation:

A = x^2

x = √A

x = √36

√36 = 6

Answer:

70 or 75 70 is on there so that my best answer

Step-by-step explanation:

Answer:

1) <2 ; 60

2) <3 ; 60

3) <4 and <3. <4 = 120 and <3 = 60

4) <1, <3, and <4 = 125. <2 = 55

Step-by-step explanation:

1)

Corresponding angles are equal

2)

Alternate interior angles are equal

3)

<4 and <3 are same-side interior angles. This makes them supplementary angles

<4 = 120

<3 = 60

4)

<1 = <4 = <3. All of these angles equal 125.

<2 + <1 = 180

<2 + 125 = 180

<2 = 55

Answer:

I believe it is D.

Step-by-step explanation:

This shows all the combinations of the dice roll as could go along with any of the coin toss solutions.

I hope I didn't confuse you lol! Hope this helps :)

Answer:

2.5 feet

Step-by-step explanation:

According to the problem, computation of given data are as follows,

Length = 24 inches = 2 feet ( 1 feet = 12 inches)

Width = 18 inches = 1.5 feet  ( 1 feet = 12 inches)

So, we can calculate the diagonal length by using Pythagorean Theorem.

[tex]L^{2} + W^{2} = D^{2}[/tex]

Where, L is length, W is width, and D is diagonal length

So, by putting the value, we get

[tex]2^{2} + 1.5^{2} = D^{2}[/tex]

[tex]D^{2} = 4 + 2.25[/tex]

[tex]D = \sqrt{6.25}[/tex]

D = 2.5 feet

Hence, diagonal length is 2.5 feet.

Answer:

B and C

Step-by-step explanation:

Answer:

#1 is right

#2 is right

#3 is wrong

# 3 is b or c

Step-by-step explanation:

surry if im wrong

Answer:

x>3

Step-by-step explanation:

Answer:

-500

Step-by-step explanation:

Answer:

200.96

or

201 (if you round it up)

Step-by-step explanation:

1) Well, if we know that the diameter (D) is 16 cm, then we know that the radius (r) is 8 cm (D = 2 * r).

2) Next, we square (^2) the radius, and we get 64 (r^2 = r * r = 8*8 = 64)

3) Finally, we multiply π by 64, and we get 200.96 cm^2 (3.14 * 64) which is very close to 201 cm^2.

Given:

The expression is:

[tex]0.0004\times 0.02[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]0.0004\times 0.02[/tex]

It can be written as:

[tex]=\dfrac{4}{10000}\times \dfrac{2}{100}[/tex]

[tex]=\dfrac{8}{1000000}[/tex]

[tex]=0.000008[/tex]

Therefore, the value of the given expression is 0.000008.

Answer:

4x^2+36x+81

Step-by-step explanation:

FOIL

First terms

Outside terms

inside terms

last terms

Answer:

21.5sqft

Step-by-step explanation:

The area of the square is 10ft*10ft = 100sqft

The area of the circle is 5ft*5ft*pi = 25pi sqft

We're supposed to use 3.14 for pi, so the circle is around 25*3.14 sqft = 78.5sq ft

The area left over is 100sqft - 78.5sqft = 21.5sqft

Answer:

21.5 sq. feet

Step-by-step explanation:

Answer:

2(x-10)/(x+10)(x-4)

Step-by-step explanation:

Find the complete question attached as a diagram

Given the following

F(x) = x-16/x²+6x-40

Factoring the denominator

F(x) = x-16/x²-4x+10x-40.

F(x) = x-16/x(x-4)+10(x-4)

F(x) = x-16/(x+10)(x-4)

g(x) = 1/x+10

Adding both functions

F(x)+g(x) = x-16/(x+10)(x-4) + 1/x+10.

F(x)+g(x) = x-16+(x-4)/(x+10)(x-4)

F(x)+g(x) = x-16+x-4/(x+10)(x-4)

F(x)+g(x) = x+x-16-4/(x+10)(x-4)

F(x)+g(x) = 2x-20/(x+10)(x-4)

F(x)+g(x) = 2(x-10)/(x+10)(x-4)

Answer:

D. -1≤x<4

Step-by-step explanation:

4-x<0 and x+1≥0

x<4 and x≥-1

so D. -1≤x<4

Answer:

x = 24

y = 19

Step-by-step explanation:

From the picture attached,

m(∠CAB) = (5y - 23)° [Vertically opposite angles]

By applying triangle sum theorem in ΔABC,

(5y - 23)° + (2x + 13)° + 47° = 180°

2x + 5y = 143 -----(1)

(3x)° = (5y - 23)° [Corresponding angles]

3x - 5y = -23 -----(2)

By adding equation (1) and (2)

(2x + 5y) + (3x - 5y) = 143 - 23

5x = 120

x = 24

From equation (2)

3(24) - 5y = -23

72 - 5y = -23

5y = 95

y = 19

Answer:

The radius of these cylinders is approximately 1 foot.

Step-by-step explanation:

According to this graph, the volume of the cylinder is directly proportional to its height, that is, radius remains constant. The expression of direct proportionality:

[tex]V \propto h[/tex]

[tex]V = k\cdot h[/tex] (1)

Where:

[tex]V[/tex] - Volume of the cylinder, in cubic feet.

[tex]h[/tex] - Height of the cylinder, in feet.

[tex]k[/tex] - Proportionality constant, in square feet.

Besides, the proportionality constant is described by this expression:

[tex]k = \pi \cdot R^{2}[/tex] (2)

Where [tex]R[/tex] is the radius of the cylinder, in feet.

If we know that [tex]h = 9\,ft[/tex] and [tex]V = 28.26\,ft^{2}[/tex], then the radius of the cylinder is:

[tex]k = \frac{V}{h}[/tex]

[tex]k = 3.14[/tex]

[tex]R = \sqrt{\frac{k}{\pi} }[/tex]

[tex]R \approx 1\,ft[/tex]

The radius of these cylinders is approximately 1 foot.

Answer:

2

Step-by-step explanation:

9 ÷ 3 - 2 × 2

3 - 2 × 2

1 × 2

2

Answer:

Line segment U V is a secant Line segment X Y is a tangent and intersects the circle at point U

Step-by-step explanation:

The required, XY is tangent to Circle Z, as of the given condition.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
From the diagram, we can use the Pythagorean theorem to justify whether XY is tangent to the circle Z, because if XY is the tangent then XYW is the right triangle.

So,
XY² = XW² + WY²

Substitute the value in the above expression,
16² = [2×6.4]² + 9.6²
256 = 256

Thus, XY is tangent to Circle Z.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

Answer:

The fewest square tiles he can use without cutting any of them = 12 square tiles

Step-by-step explanation:

The given dimensions of Mr. Pete's rectangular patio = 108 inches by 144 inches

The area of the patio = 108 in. × 144 in. = 15,552 in.²

We note that when square tiles are used the must fit both the length and the with of the rectangular patio

Therefore, we have;

The dimensions of the square tiles that the fewest number of tiles is the highest common factor, HCF, of 108 inches and 144

The HCF of 108 and 144 are found from by the prime factors as follows;

108 = 2² × 3³ = 2² × 3² × 3

144 = 2⁴ × 3² = 2² × 3² × 4

From which we have;

The HCF of 108 and 144 = 2² × 3² = 36

Therefore, the size of the sides of the square tiles that will give the fewest number of tiles is 36 inches

The number of the 36 inches square tiles that fit into the length of the rectangular patio = 144 inches/(36 inches/tile) = 4 tiles

The number of the 36 inches square tiles that fit into the breadth of the rectangular patio = 108 inches/(36 inches/tile) = 3 tiles

The total number of tiles he will use = (4 × 3) tiles = 12 tiles = The fewest square tiles he can use without cutting any of them.

Answer:

F.

Step-by-step explanation:

20=4*5

9=4+5