A seagull is flying 11 meters above the water. Directly below the bird, a fish is swimming 31 meters under the surface. What is the total difference in distance between the bird and the fish? A 11 B 20 C 31 D 42

Answer:

[tex]f(n) = \frac{4^n-0.25}{3}[/tex] --- Job offer 1

[tex]g(n) = 16n[/tex] --- Job offer 2

[tex]1 \le n \le 10[/tex]

Step-by-step explanation:

Given

Job offer 1:

Offer = $0.25

[tex]Day 1 = \$1\ Day 2 = \$4\ Day 3 = \$16......[/tex]

Job offer 2:

Daily = $16

Required

Determine the equation for both jobs

For job offer 1:

Considering the pay for day 1, day 2,....

The sequence shows a geometry progression where the payment between subsequent days is a product of 4 by the payment of the previous day.

The sequence can be represented as:

[tex]T_1 = 1; T_2 = 4; T_3 = 16[/tex]

The common ratio (r) is:

[tex]r = \frac{T_2}{T_1} = \frac{4}{1} = 4[/tex]

The sum of n terms is the total salary received in n days.

[tex]S_n = \frac{a(r^n - 1)}{r-1}[/tex]

[tex]S_n = \frac{1 * (4^n - 1)}{4-1}[/tex]

[tex]S_n = \frac{4^n - 1}{3}[/tex]

So, the equation for job offer 1 is:

[tex]f(n) = Offer + S_n[/tex]

[tex]f(n) = 0.25+ \frac{4^n - 1}{3}[/tex]

Take LCM

[tex]f(n) = \frac{0.75 + 4^n - 1}{3}[/tex]

Collect like terms

[tex]f(n) = \frac{4^n - 1+0.75}{3}[/tex]

[tex]f(n) = \frac{4^n-0.25}{3}[/tex]

For job offer 2:

Daily payment of $16 implies that job offer 2 pays 16n for n days.

So:

[tex]g(n) = 16n[/tex]

In both cases: [tex]1 \le n \le 10[/tex]

Answer:

From one point, you can draw two tangents to a circle. These two tangents will be equal.

Step-by-step explanation:

7x - 24 = 57 - 2x.

Rearrange the numbers (by adding 2x and 24 on both sides), we get:

7x+2x = 57 + 24

9x = 81.

x = 9.

Length of PQ = 57-2x = 57 - 18 = 39

If PQ and PR are tangent to circle S, then the value of PQ is 39.

"A line that touches the circle at a single point is known as a tangent to a circle."

"A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre."

P is the exterior point of a circle.

PQ and PR are the tangents to circle S.

According to theorem,

The lengths of the tangents drawn from a same external point to a circle are always equal.

7x - 24 = 57 - 2x

7x + 2x = 57 + 24

9x = 81

x = 9

PQ = 7x - 24

PQ = 7(9) - 24

PQ = 63 - 24

PQ = 39

Hence, the value of PQ is 39.

To learn more about tangent of a circle here

https://brainly.com/question/23265136

#SPJ2

Answer:

-209

Step-by-step explanation:

-10*(22)+11

-220+11

-209

Answer:     -209

Step-by-step explanation:

f(22)=-10(22)+11

f(22)=-220+11

f(22)=-209

Answer:

Notice that the written functions are mostly incorrectly written, after a short online search i've found the correct ones, which are the ones i will write in this answer.

A general exponential equation can be written as:

f(x) = A*(r)^x

Where A is the initial value, r is the rate of growth, and x is our variable.

If r > 1,  the function represents a growth.

if 0 < r < 1, the function represents a decay.

1) f(x) = 3^x

Here we have r = 3

This is clearly larger than 1, then this function represents a growth.

2) f(x) = (0.25)^x

Here we have r = 0.25, which is smaller than 1 and larger than zero, then this function represents a decay.

3) f(x) = (2/3)^x

here we have r = 2/3 = 0.66

This is larger than zero and smaller than 1, then this function represents a decay.

4) f(x) = (3/2)^x

Here we have r = 3/2 = 1.5

This is larger than 1, then this function represents a growth,

the width is x - 3

~iwa-chan

5 is what percent of 25? = 20

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

Answer:

All real numbers such that 37.75 <or= y <or= 40

Step-by-step explanation:

This means that y is greater than or equal to 37.75 but less than or equal 40 and according to the table, that's true.

Answer:

10.110 km

Step-by-step explanation:

1000 meter = 1 kilometre

Since we are to provide the answer in kilometres, we have to convert the meters to kilometres

1685 m = 1685/1000 = 1.685km

Total kilometres swan by the 6 members =  1.685km x 6 = 10.110 km

Method 2

1.685km +  1.685km +  1.685km +  1.685km +  1.685km +  1.685km = 10.110km

Answer:

c

Step-by-step explanation:

20w=4w*5w

45WT=5WT*9WT

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

The answer is A:16

Step-by-step explanation:

8+4+0.5=16 I think so

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

Answer:

3.53

Step-by-step explanation:

Answer:

4 hope it helps you better

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

1st blank :

-4

star :

5

it's correct answers

Answer:

For the first column, the y= -4

For the last column, y= 5

Step-by-step explanation:

For the first column explanation:

For the last column explanation:

I hope this helps!

Answer

-6

Step-by-step explanation:

3x-12=-2x-42

(Collect like terms together:)

3x+2x=-42+12

(when the number crosses the equal sign it changes signs)

5x/5=-30/5

(We devided by 5 cause we looking for x not 5x)

Answer:

No

Step-by-step explanation:

the sum of the two shorter sides must be greater than the longer side

(not even if it is equal to, as in this case)

Here are some formulas to see if 3 sides can make a triangle...

[tex]a+b>c\\b-a, a-b<c\\a+c>b[/tex]

So a=3

b=5 and c=8

3+5=8

So no it can't.

Answer:

They can make a right traingle because both sides of the equation are equal these lengths do form a right triangle.

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then triangle is right.

longest side = 85 and 85² = 7225

36² + 77² = 1296 + 5929 = 7225

Thus the 3 sides form a right triangle

Answer:

V=lbh=2.4×3×6=43.2cm^3

We are given a candy batband we are given its dimensions

We need to find it's volume

Volume of a cuboid is given by l×b×h

Volume = length × breadth × height

Volume = 2.4 × 3 ×6

Answer: 27.9

Step-by-step explanation:

Add all the numbers together and divide it by how many number there is so

all the numbers added together is 279

there are 10 numbers there so you divide 279 by 10 and it gives you 27.9

Answer:

Use photo math, it will explain literally all the steps

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%