The sum of the first 15 terms of a geometric sequence with 7 as the first term and a common ratio of -3 is __________.

Answer: They are inverses of each other.

Explanation:

f(x) = -x+5

f(g(x)) = -(g(x)) + 5

f(g(x)) = -(-x+5) + 5

f(g(x)) = x - 5 + 5

f(g(x)) = x

The steps to show that g(f(x)) = x are identical to what is shown above. This is because both f(x) and g(x) are the same.

Since f(g(x)) = x and g(f(x)) = x are true, this means the functions are inverses of each other.

Answer:

Maria

Step-by-step explanation:

Sean - 2 minutes (1 mile/minute)

Maria - 4 minutes (0.5 miles/minute)

David - 3 minutes (1 mile/minute)

Carrie - 2 minutes (0.5 miles/minute)

Answer: 23.76 miles

Step-by-step explanation:

You are basically finding the perimeter for question a

given that perimeter is [tex]\pi[/tex]d

Subsitute the values

So perimeter = [tex]\pi[/tex] x 5.5 = 5.5 [tex]\pi[/tex] miles = 17.28 miles (2.d.p)

For question b, the area of the surface of Crater lake is finding its area

Given that area of a circle is [tex]\pi r^{2}[/tex]

Substitute the values

Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75

Area = 2.75^2 x [tex]\pi[/tex] = 7.5625[tex]\pi[/tex] = 23.76 miles^2 (2.d.p)

Answer:

5.22

Step-by-step explanation:

Answer:

its easy, just subtract 50 - 38 = 22 so its $5.60

(your welcome and math makes me notalisgica :) )

Step-by-step explanation:

[tex]6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120[/tex]

ok done. Thank to me :>

Answer:

[tex]y=\frac{1}{3}x+\frac{5}{3}[/tex]

Step-by-step explanation:

The point-slope form of an equation for a line is  y = mx + b  (m is the slope; b is the y-intercept).

First, find the slope using the two given points.

[tex]m=\frac{y_2 - y_1}{x_2-x_1}=\frac{3-0}{4-(-5)}=\frac{3}{9}=\frac{1}{3}[/tex]

At this stage, you know the slope and need to find the y-intercept.  Plug in one of the points (either one) into the equation.  Let's use (-5, 0).

[tex]y=\frac{1}{3}x+b\\0=\frac{1}{3}(-5)+b\\0=-\frac{5}{3}+b\\\frac{5}{3}=b[/tex]

The equation for the line is [tex]y=\frac{1}{3}x+\frac{5}{3}[/tex].

You can check for errors by putting in the point you didn't use...

Check to make sure the point (4, 3) satisfies the equation.

[tex]3=\frac{1}{3}(4)+\frac{5}{3}\\3=\frac{4}{3}+\frac{5}{3}\\3=\frac{9}{3}[/tex]   True!

Answer:

check online for more information

s = number of slices for a large pizza

so if "s" is the number of slices in 1 large pizza, the total for 1 pizza will just be 1s, for two pizzas will be 2s and so on, so for 4 pizzas the total will just be 4s.

we also know there were an extra 3 slices, and we also know that whatever 4s is plus 3 will give us the total of 51 slices of pizza.

[tex]4s + 3 = 51\implies 4s = 48\implies s = \cfrac{48}{4}\implies \boxed{s = 12}[/tex]

If x = -2 satisfies the system, then

y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2

so that

y = mx - 4   ⇒   2 = -2m - 4

Solve for m :

2 = -2m - 4   ⇒   2m = -6   ⇒   m = -3

Answer:

Step-by-step explanation:

output = y

input = x

y=-2x + 3

if you follow the pattern, the next input is 5 which will output -7

Answer:

the median is 73 because 73 is the middle number

Answer:

8

Step-by-step explanation:

Answer:

Each number is called a factor

Step-by-step explanation:

The multiplication of two numbers is equivalent to adding as many copies of one of them

Step-by-step explanation:

I'll try to get this out as as quickly as I can! In this scenario, we have a function m(x). We can also view m(x) as y to make everything easier to understand. It is said that m(x) = 1, which can also be interpreted as for whatever value x may be, the y value is 1. Whether x is -9, 0, 3, 1, or 2/3, the y-value will be 1. The table can be filled out with as many x-values as needed, with corresponding 1's for each.

Next, we have to graph. Try to visualize what this graph might look like. For whatever x-value given, the y-value will be 1. Our graph will have to be a horizontal line through the y-value (0, 1). This represents that for whatever x-value, the y-value will be 1.

Hopefully that's helpful! :)

Answer:

8 feet

Step-by-step explanation:

12 x 2 =24

40 - 24 = 16

16 /2 = 8

Hope it helps :)

Answer:

450 miles / hour or 201.17 meters/second

Step-by-step explanation:

Speed = distance / time

Distance = 2475 miles

Time = 5 hours and 30 minutes

I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.

Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours

2475 miles / 5.5 hours = 450 miles / hour

1609.34 meters = 1 mile

3600 seconds = 1 hour

450 miles / hour * 1609.34 meters/1 mile * 1 hour/3600 seconds = 201.1675 meters/second (can round to 201.17)

Note that when multiplying, I am simply multiplying the result by 1. Since

1609.34 meters = 1 mile , 1609.34 meters/1 mile = 1 if I divide both sides by 1. Because I multiply by 1, the number is still the same. In terms of the numerator and denominator, I choose which is which by analyzing which units should cancel out. For example, I multiply by 1 hour/3600 seconds because in miles/hour, hour is on the bottom, and hour is on the top in hours/seconds.

Answer:

Its arithmetic because it's being added 3 each time.

Answer:

Arithmetic

Step-by-step explanation:

Arithmetic refers to addition and subtraction. Geometric refers to multiplication and division.

In this instance, the sequence has a common difference of 3 (3 is added as the sequence continues).

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

Answer:

B. 6

Step-by-step explanation:

D. 12 cant be multiplied to get 18

C. 4 cant be multiplied to get 18

A. 2 is a common factor of 12 and 18 but not the greatest.

B. 6 times 2 is 12 and 6 times 3 is 18 so 6 is the greatest common factor.

Answer:

B

Step-by-step explanation:

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 18: 1, 2, 3, 6, 9, 18

The common ones are 1, 2, 3, and 6. The greatest one among these is 6.

Factors are numbers you multiply with another natural number to get another number. For example, the factors of 16 will be all the numbers that can be multiplied with an integer to get 16. 1* 16 is 16, so 1 will work. 2 *8 is 16, so 2 will work. But, 3 * 16/3 is 16 so 3 won't work. You get the point. Hope this helps and pls give brainliset.

Answer:

7 • (x + 4)

 ———————————

 100    

Step-by-step explanation:

0.2" was replaced by "(2/10)". 2 more similar replacement(s)

STEP1:        1

Simplify    1

                 -

                5

Equation at the end of step1:

   35              1

 (——— • (x + 4)) • —

  100              5

STEP2:

                 7

Simplify   ——

                 20

Equation at the end of step2:

   7              1

 (—— • (x + 4)) • —

  20              5

STEP3:

Equation at the end of step 3

 7 • (x + 4)   1

 ——————————— • —

  20            5

STEP4:

Final result :

 7 • (x + 4)

 ———————————

 100    

Answer:

2

Step-by-step explanation:

the answer is 2 because I need points for my brainly so I can get a 100 on this assignment

Answer: this is 4

Step-by-step explanation: A+b=2+2=4

Answer:

C

Step-by-step explanation:

Cumulative Exam 2021

Merry Christmas <3

P.S. Have a good winter break :)

The fraction is 8/9

Lets find percentage

Done!

Answer:

net pay if im not mistaking

Step-by-step explanation:

Answer:

Option 4: (0, 5]

Step-by-step explanation:

Given the inequality notation, 0 < x ≤ 5 :

We know that using the open- and closed-parenthesis, "(  )" are used to express interval notation for which the endpoints are not included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than (>) or greater than (<), as you do not include the endpoints when these inequality symbols are used.

In contrast, the open- and closed-brackets, "[     ]" are used to express interval notation for which the endpoints are included as part of the solution.  Hence, the open- and closed-parenthesis are associated with the inequality symbols, less than or equal to (≤), and greater than or equal to (≥).

In the inequality notation, 0 < x ≤ 5, the endpoints are 0 and 5.  

The inequality symbol between 0 and x is "<," which means that we must use an open parenthesis, " ( " for the endpoint, 0.

While the inequality symbol between x and 5 is "≤," which means that we must use an closed bracket, " ] " for the endpoint, 5.

Therefore, the correct answer is Option 4: (0, 5].

Answer:

correct answer is explained in the picture attached

11 miles far does the boat travel

Step-by-step explanation:

hope it helps

The total distance travelled will be 22 miles and the bearing will be 60.89° .

It is given that a boat travels from port town to north for 7.4 miles and then east for 3.6 miles and stops at destination.

We have to find out the total distance travelled and bearing from stopped position.

What are bearings ?

A bearing is the angle in degrees measured clockwise from north i.e., 30° from north.

As per the question ;

Boat travels from port town to north for 7.4 miles and then east for 3.6 miles and it then stops at destination.

So ;

a)

Total distance travelled from port town to destination is ;

= 7.4 miles + 3.6 miles

= 11 miles

And

If boat's captain turns back to town , then total distance will be ;

= 11 + 11

= 22 miles

b)

We know that ;

cos θ = B/H

The bearing would be ;

cos θ = [tex]\frac{3.6}{7.4}[/tex]

cos θ = 0.486

θ = [tex]cos^{-1}[/tex] (0.486)

θ = 60.89°

Thus , the total distance travelled will be 22 miles and the bearing will be 60.89° .

To learn more about bearings click here ;

https://brainly.com/question/22979538

#SPJ2

Answer:

NOT CONGRUENT

Step-by-step explanation:

Angle Side Side doesnt work so it is not congruent