What are the first four terms of the sequence modeled by the recursive formula a n =a n-1 +5, when a1 = -3?

Answer:

x =  -14.75

Step-by-step explanation:

-4(5+x)=39         (Distribute)

-20 - 4x = 39          (Add 20 on both sides)

-4x = 39 + 20

-4x = 59             (Divide by -4)

x = -14.75

Answer:

First think of what you are trying to solve.

What is X?

Reverse the steps in solving:

[tex]39 / -4 = -9.75[/tex]

Now after doing that, subtract it by 5:

[tex]-9.75 - 5 = -14.75[/tex]

Now after doing that, to check your work:

[tex]-14.75 + 5 = -9.75 * -4 = 39[/tex]

So the answer for X is -14.75

There you go I hoped I helped :]

Answer:

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1

Step By Step Explanation:

Volume of the smaller cylinder(V1)=π(r^2)h

Volume of the larger cylinder(V2)=π(r^2)h

=π(3r)^2*3h

=π*9(r^2)*3h

=27π(r^2)h

The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1

Answer:

3 months

Step-by-step explanation:

you have to check when the two lines intercept

Watching the graph you can see that it happens after 3 months

Answer:

in 3 months

Step-by-step explanation:

45x + 305 = 30x + 350,

15x = 45

x = 3

.

.

.

Answer:

V≈56.55

Step-by-step explanation:

V=πr2h=π·32·2≈56.54867

Hope this helps and have a wonderful day!!!!

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Answer: The answer is 126 because if we minus 280 - 55% the answer is 126

$126

HOPE THIS HELPS

Answer:

What kind of math is this?

Answer:

A

Step-by-step explanation:

A is a triangular prism

Answer:

The correct answer is:

Step-by-step explanation:

The given values are:

Service time varies,

Repair time = 2 hours

Standard deviation = 1.5 hours

Robotics uses per hour cost,

= $35

Company's cost per hour,

= $28

(a)

⇒ Arrival rate = Jobs per hours

then,

                       = [tex]\frac{8 \ hours}{3 \ jobs}[/tex]

                       = [tex]2.666 \ hours \ per \ job[/tex]

The jobs per hour will be:

⇒  [tex]\lambda=\frac{1}{2.666}[/tex]

       [tex]=0.375[/tex]

(b)

⇒ Service rate = jobs per hour

then,

                      μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]

                         = [tex]0.5 \ jobs[/tex]

Answer: C

Step-by-step explanation: Hope this help :D

Answer:

54

Step-by-step explanation:

see attachment

Answer:

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

10 years

Step-by-step explanation:

Given

Decline from (0,h) to (10,0)

See attachment for graph

Required

Determine the age when height = 0

The function of the graph is represented as: (age, height)

So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)

From the attached graph;

[tex]age = 10[/tex] when [tex]height = 0[/tex]

Hence, the age of the car is 10 years

Answer:

22

Step-by-step explanation:

10 plus 13 equals 23, so if it is more than that than the lines wont be able to connect. if it is 23 exactly, the triangle will be a stright line, not a triangle, so it is 22.

Answer:

22

Step-by-step explanation:

triangle inequality theorem:

10 + 13 > x

x < 23

10 + x > 13

x > 3

third side:  3 < x < 23

Answer:

180 degrees minus 54 equals jml

Step-by-step explanation:

180-54=JML

Answer:

(1,0)

Step-by-step explanation:

Given

[tex]H = (-2,2)[/tex]

[tex]I = (4,3)[/tex]

[tex]J = (4,-2)[/tex]

[tex]K = (-2,-3)[/tex]

Required

The midpoint of the diagonals

Midpoint is calculated as:

[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

For H and J, the midpoint is:

[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

For I and K, the midpoint is:

[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]

[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]

[tex]M = (1,0)[/tex]

The midpoint of both diagonal is: (1,0)

Answer:

option C

Step-by-step explanation:

Answer:  no solution

Step-by-step explanation:

here are the equations in y=mx+b form:

y=2x+1

y=2x+ -5/2

as you can see they have the same slope with different y-intercepts, this mean there are parallel AKA no solution

Answer:

A.

m<a=30

m<a+m<b=180° linear pair

m<b=180-30=150°

1.m<b=150°

again

m<d+m<a=90° right angle

m<d=90-30=60°

2.m<d=60°

again

m<d+m<c=180° linear pair

m<c=180-60=120°

3.m<c=120°

Answer:

159% if you're talking about both the grids.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

1. Angles P₂ and N₁ are opposite angles of inscribed quadrilateral PMNQ, so are supplementary. Angles N₁ and N₂ form a linear pair, so are supplementary. Angles supplementary to the same angle (N₁) are congruent, hence P₂ = x ≅ N₂

__

2. ΔPMQ is isosceles, so angle Q₁ is also congruent to x.

__

3. In ΔPMQ, the sum of angles is 180°, so ...

  M₁ +2x = 180°

Dividing by 2 gives ...

  M₁/2 +x = 90°

Angle M₁ subtends arc PQ of circle M. Angle R inscribed in circle M subtends the same arc, so ...

  R = (M₁/2)

  R = 90° -x

__

4. From the above, we know that angles N₂ and R are complementary (total 90°), so angle S₂ = 90°. Segment MS will only intersect chord PR at right angles at the midpoint of that chord.

Hence S is the midpoint of PR and PS = SR.

Answer:

Based on the data given, 5 rose bouquets.

Step-by-step explanation:

20/12= about 1.6

1.6x3 =5

or

12:3

20:? (5)

Answer:

18 Liters of water

Answer:

it is almost 50% so good luck

Answer:

8

Step-by-step explanation:

friend formula of Range = Max(Maximum) - Min(Minimum)

Maximum= 9 - Minimum = 1

Range = 8.

if it helps don't forget to like and mark me down

Answer:

The answer is 8

Step-by-step explanation:

The biggest number in the set is 9, and the smallest is 1, so if you subtract you get 8.

  9

-  1

-------

  8

Answer:

2 out of 7

Step-by-step explanation:

There are 7 days in a week( at least the last time I checked) Monday and Tuesday are 2 days of that week. Therefore it is 2/7.