The first term of an arithmetic sequence is 1, another term of the sequence is 91 and all of the terms of the sequence are integers. How many distinct arithmetic sequences meet these three conditions?

Answer:

[see below]

Step-by-step explanation:

A(4, 2), B(-3, -1), and C(5, –5)

[tex](x,y)\rightarrow(x+3,y-5)[/tex]

Point A:

[tex](4,2)\rightarrow(4+3,2-5)\rightarrow(7,-3)[/tex]

Point B:

[tex](-3,-1)\rightarrow(-3+3,-1-5)\rightarrow(0,-6)[/tex]

Point C:

[tex](5,-5)\rightarrow(5+3,-5-5)\rightarrow(8,-10)[/tex]

Hope this helps.

Answer:

n < - 0.6

Step-by-step explanation:

- 4n + 0.3 > 2.7

- 4n > 2.7 - 0.3

- 4n > 2.4

[tex]\frac{-4n}{-4}[/tex] < [tex]\frac{2.4}{-4}[/tex]

n < - 0.6

n ∈ ( - ∞ , - 0.6 )

-4n+0.3 > 2.7

-4n+0.3 -3.2 > 2.7-3.2 (Subtract 0.3 from both sides)

-4n > 2.7 - 0.3

-4n > 2.4

-4n/-4 > 2.4/-4 (Divide both sides by -4)

n > -0.6

~

Answer:

A: $48.53

B: $58.23

Step-by-step explanation:

7% of 45.36 is 3.17.

20% of 48.53 is 9.70.

correct me if i'm wrong. hope this helps. :)

Answer: 6 trombones

Step-by-step explanation:

We can set up a proportion.

Let x be the number of trombones there are.

[tex]\frac{4 trombones}{6violas} = \frac{x trombones}{9 violas}[/tex]

We can cross multiply:

4*9 = 6x

6x = 36

Divide both sides by 6:

x = 6

9514 1404 393

Answer:

  58. 2 real roots; see attached for a graph

  59. -6, 3

Step-by-step explanation:

58. A graphing calculator graphs this easily. The graph is shown in the attachment. There are 2 x-intercepts, hence 2 real roots.

__

59. The x-intercepts are (-6, 0) and (3, 0), so the x-values x=-6 and x=3 satisfy the equation y = 0.

Step-by-step explanation:

diameter= 8

radius=diameter/2

=8/2

=4

height=2

Volume =r2h

=4*2*2

=16

therefore the volume of the cylinder is 16 cm^3

hope it helps u

pls mark it as the brainliest

Solution:

We know that:

Finding the area of the circle:

[tex] \large{|\underline{\mathbb{\red{G}\blue{I}\orange{V}\pink{E}\blue{N}\purple{}\green{ : }\red{}\blue{}\orange{-}}}}[/tex]

[tex] \large{|\underline{\mathbb{\red{T}\blue{O }\orange{ \: }\pink{ F}\blue{I}\purple{N}\green{D }\red{ : }\blue{ - }\orange{-}}}}[/tex]

[tex] \underbrace{\mathbb{CALCULATION}}[/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = \pi {r}^{2} [/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = 3.14 \times {18}^{2} [/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = 3.14 \times 324[/tex]

[tex] \qquad \sf \dashrightarrow \: Area\:of \:circle = 1017.36[/tex]

Thus, The area of the circle is 1017.36 yard²...~

[tex]\sf f(x) = 5(-2)^{\small{\dfrac{x}{6}}}[/tex]

For evaluating the given function at f(24) just substitute x = 24

[tex]\sf f(24) = 5\times(-2)^{\small{\dfrac{24}{6}}}[/tex]

[tex]\longrightarrow \sf f(24) = 5\times (-2)^4[/tex]

[tex]\longrightarrow \sf f(24) = 5 \times 16 [/tex]

[tex]\longrightarrow \sf f(24) = 80 [/tex]

The aquarium would have a volume of 103950 cubic inches. Its dimensions are shown  in the image attached.

An aquarium is a container, often made of glass or acrylic, in which aquatic plants and animals are kept for display or research purposes. It can also be a building or room that houses such tanks.

We have been told that the volume of the water that can be held by the aquarium is 450 gallons of water. If we convert the gallons to cubic inches we would obtain 103950 cubic inches. The dimensions of the aquarium must therefore be such that it would a volume of 103950 cubic inches.

Learn more about aquarium:https://brainly.com/question/6567948

#SPJ1

Answer:

20 yd^2.

Step-by-step explanation:

Area of base = 2^2 = 4 yd^2.

It has  4 side faces so:

Area of each triangular side = 1/2 * 2 * 4 = 4 yd^2

Total surface area = 4 + 4(4).

= 20 yd^2.

Answer:

A distinctions does Russia enjoy is explained below in details.

Step-by-step explanation:

Answer:

53712.4

Step-by-step explanation:

[tex]53.7124 * 10^{3}[/tex] This is the scientific notation, and since we do not have a negative exponent, we can assume that the decimal is going to move to the right, because when it's negative, the decimal will move to the left, making a smaller number.

So, when we move the decimal 3 times to the right, we find it sitting at 53712.4

Answer: 13.8

Step-by-step explanation:

Answer:

J.

Step-by-step explanation:

There is no solution because these are parallel lines.

Parallel lines never intersect and so they have no solution.

Angles 2·x + 2, and x + 50, formed by the transversal are alternate

exterior angles, which gives, x = 48°, the correct option is therefore;

A) 48

From the position of the angles image showing two parallel lines having

a common transversal we have;

Angle 2·x + 2 and angle x + 50 are alternate exterior angles

The alternate exterior angles formed by two parallel lines that have a

common transversal are equal, therefore;

2·x + 2 = x + 50

Which gives;

2·x - x = 50 - 2 = 48

x = 48°

Learn more about the angles formed by two lines having a common transversal here:

https://brainly.com/question/963442

Answer:

Here is my best smile ☺️

Answer:

I believe it is the top right scatterplot, I can't tell which letter, I think B though.

Step-by-step explanation:

If you were to put a line of best fit for each graph, the top right scatterplot would be the only one that has a straight line of best fit.

Hope this helps :)

Answer:

Graph B

Step-by-step explanation:

Because it asked for a LINEAR relationship, and Graph B is the closest graph for a LINEAR relationship.

Hope it helps bro.

Answer:

Goodluck I had this before and couldn't get it

Answer:

The answer is most likely uniform

Answer:

The distance between points R and S is [tex]\sqrt{ 29 }[/tex] units

Step-by-step explanation:

Coordinates of point R = (-1, 3)

Coordinates of point S = (4, 1)

Now, by distance formula:

[tex]d(R, S) = \sqrt{ \{4 -( - 1) \}^{2} + {(1 - 3)}^{2} } \\ \\ = \sqrt{ \{4 + 1 \}^{2} + {( - 2)}^{2} } \\ \\ = \sqrt{ \{5 \}^{2} + {( - 2)}^{2} } \\ \\ = \sqrt{ 25 + 4 } \\ \\ \implies \huge \orange{d(R, S) = \sqrt{ 29 } \: units}[/tex]

So, you are correct.

Answer:

D

Step-by-step explanation:

Letter D is the only answer that gets the transformation of triangle ABC correct, since it is the only answer that describes a reflection across line p.

Letter A describes a reflection across the y-axis, which is incorrect because the triangle on the right is farther away from the y-axis than the triangle on the left.

Letter B describes a reflection across the x-axis, which is incorrect because the topmost triangle is farther away from the x-axis than the bottommost triangle.

Letter C once again describes a reflection across the y-axis, which is incorrect for the same reason as to why letter A is incorrect.

Therefore, the answer must be letter D.

Answer:

The total number of strikes the pitcher will throw throughout the game.

Step-by-step explanation:

A.The number of consecutive strikes the pitcher must throw to raise his percentage to 60%.

B. The total number of strikes the pitcher will throw throughout the game.

C.The total number of balls the pitcher will throw throughout the game.

D. The number of balls that the pitcher has already thrown.

Given expression:

x+18x+40

In the expression, x represent the total number of strikes the pitcher will throw throughout the game.

The correct answer is A. The total number of strikes the pitcher will throw throughout the game.

Answer: $18.17

Step 1: Subtract 1 dollar.

$20 - $1 = $19

Step 2: Subtract 83 cents.

$19.00 - $0.83 = $18.17

Answer = $18.17

Answer:                                                                         1

                                                                                     4

244+6=300  [its a simple addition right?]                 3

brainliest?                                                                      J

                                                                                       E

                                                                                       N

                                                                                      <3   :)

Answer: x = -2

Step-by-step explanation: First, add the x values together to get -1x=2, then divide by -1 on both sides to get x = -2.

Answer:

72 ounces.

Step-by-step explanation:

Convert all the fractions to denominator of 24

9/24 4/24 10/24 = 23/24

23/24 = 69/1 so you can cross multiply ( i think)

Then you get 1656 / 23 which equals 72.

If this is wrong I am so sorry

===================================================

Explanation:

He uses 3/8 of the amount to make bread, 1/6 of the amount to make pancakes, and 5/12 of the amount to make jam.

Add up those fractions. But first let's make each fraction have the LCD (lowest common denominator) of 24

3/8 = 9/24 .... multiply top and bottom by 3

1/6 = 4/24 .... multiply top and bottom by 4

5/12 = 10/24 .... multiply top and bottom by 2

Now we can add the fractions:

(3/8) + (1/6) + (5/12)

(9/24) + (4/24) + (10/24)

(9+4+10)/24

23/24

So in total, Wayne used up 23/24 of all the blueberries he bought.

Let's make this unknown amount x

x = amount of blueberries he bought, in ounces

Multiplying the sum we got (23/24) by x leads to the amount of blueberries he used, which is 69 ounces

So,

(fraction used)*(amount he bought) = (amount he used)

(23/24)*x = 69

23x = 69*24 .... multiply both sides by 24

23x = 1656

x = 1656/23 ... divide both sides by 23

x = 72

He bought 72 ounces of blueberries.

------------------------------

Let's check that answer

A = 3/8 of 72 = (3/8)*72 = 27 = amount used for bread

B = 1/6 of 72 = (1/6)*72 = 12 = amount used for pancakes

C = 5/12 of 72 = (5/12)*72 = 30 = amount used for jam

A+B+C = 27+12+30 = 69 = total amount used

This confirms our answer.

Answer:

Your answer would be V≈392.7cm³

Step-by-step explanation:

You get this because

Radius= 5cm

Height=15cm

so, V=πr2h

3=π·52·15

3≈392.69908cm³

Hope this helps :).

Answer:

hxr  

=15cm×5cm so the answer is 75cm²

Step-by-step explanation: