arithmetic sequence, help with #18 plz

Answer:

  45°

Step-by-step explanation:

  θ = arctan(1) = 45°

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Make sure your calculator is in degrees mode.

_____

Additional comment

The tan⁻¹( ) function is the inverse tangent function. It can be read as "arctangent of ..." or "the angle whose tangent is ...". In spreadsheets and some calculators, it comes in two flavors: ATAN(x) and ATAN2(x, y). The latter is useful for finding the angle associated with a vector whose components are known, and that can be in any of the four quadrants.

Calculators will give an angle in degrees or radians according to the mode that is set. Spreadsheets always give the angle in radians. The range of a calculator tan⁻¹( ) or ATAN( ) function is -π/2 to π/2 radians, or -90° to 90°.

Answer:

point-slope form: y-y1=m(x-x1) -> m=slope, (x1, y1) = coordinates of a point

point = (-14,-17) -> x1=-14, y1=-17

slope = 1 -> m=1

y-(-17)=1*(x-(-14)

y+17=1(x+14)

you don't need the *1 but some teachers are picky about that

Answer:

y + 17 = 1 ⋅ ( x + 14 )

Step-by-step explanation:

i think... trust someone else because i'm not 100% sure..

Answer:

600

Step-by-step explanation:

V = s×s×s = s³

V = 10×10×10 =1,000

Surface area

6a² = 6(10²) =600

Answer:

Step-by-step explanation:

Expected growth =  0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20

= 17.25%.

The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.

The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.

The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.

The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.

Learn more about graphs of linear equations here: https://brainly.com/question/370278

Answer:

Basketball: $6.75

Football: $7.50

Step-by-step explanation:

lmk if you want an explanation

The costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

If 3 basketball game tickets and 4 football game tickets were purchased for $50.25, and if 5 basketball game tickets and 5 football game tickets were purchased for $71.25.

The linear equation can be framed:

3x + 4y = 50.25

5x + 5y = 71.25

Here x is the cost of basketball game tickets and y is the football game ticket.

After solving the above linear equation by substitution method,

5([50.25 - 4y]/3) + 5y = 71.25

y = $6.75

x = $7.5

Thus, the costs of basketball game tickets and football game tickets are $7.5 and $6.75 respectively.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

[tex]x=-345[/tex]

Step-by-step explanation:

[tex]2.3+0.02\left(x+20\right)-4.8=-9[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]

[tex]2.3\cdot \:100+0.02\left(x+20\right)\cdot \:100-4.8\cdot \:100=-9\cdot \:100[/tex]

[tex]230+2\left(x+20\right)-480=-900[/tex]

[tex]\mathrm{Subtract\:}230-480\mathrm{\:from\:both\:sides}[/tex]

[tex]230+2\left(x+20\right)-480-\left(230-480\right)=-900-\left(230-480\right)[/tex]

[tex]2\left(x+20\right)=-650[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}2[/tex]

[tex]\frac{2\left(x+20\right)}{2}=\frac{-650}{2}[/tex]

[tex]x+20=-325[/tex]

[tex]\mathrm{Subtract\:}20\mathrm{\:from\:both\:sides}[/tex]

[tex]x+20-20=-325-20[/tex]

[tex]\bold{x=-345}[/tex]

Answer:

7

6

3

1

1

because first they go down by three then one

Answer:

7

6

3

1

1

Step-by-step explanation:

45 - 4 =41 and x is 20.5 or 20 1/2

Answer:

n=8

n=-2

Step-by-step explanation:

or,n-3=5

or,n=5+3

or,n=8

Now consider,

or,n-3=-5

or,n=3-5

or,n=-2

Answer:

Linear

Step-by-step explanation:

She is spending the same amount per day, so it is linear

According to the information provided the statement of both people is incorrect (option D)

Ahmad's statement is false because he claims that in the situation where 1000 people spend $ 1000 on lottery tickets they would get back $ 5000. However, the recovery would be $ 500 This statement can be verified by doing the following operation:

On the other hand, Juana's statement is false because she says that people who buy a lottery ticket have a probability of winning of 0.50 on average. However, the true probability is 0.02. This statement can be checked by doing the following operation:

According to the above, none of the statements of the characters is true.

Learn more about mathematics in: https://brainly.com/question/19003099

Answer:

Neither statement is correct

Step-by-step explanation:

Got it right on Khan Academy

Answer:

63°

Step-by-step explanation:

Angle 2 is congruent in angle that has 63°

Refer to the attached pic

Answer:

D

Step-by-step explanation:

Because the discount price is the whole equation 24(1-x),

the original price is 24 technically, and the percent of discount has been given as x...

Answer:

no solution ?

Step-by-step explanation:

Answer:

Infinitely many solutions because the system of equations are the exact same.

Answer:

The equation for the axis of symmetry is x=3

Step-by-step explanation:

Because the vertex is (-2,3) then the axis of symmetry must pass that point.

[tex]\huge \bf༆ Answer ༄[/tex]

Let the first number be x and second one be y !

Here's the Expressions representing the above scenario ~

If we add these two equations we will get ~

Now, plug the value of x in first equation ~

Therefore, the first number is x = 9 and the second number is y = 7

Answer:

t=6.8

Step-by-step explanation:

t=2.01[squareroot(L)]

L=11.56

t=2.01[squareroot(11.56)]

t=2.01(3.4)

t=6.834

(round to nearest tenth)

t=6.8

Your Answer Is : - 31xz + 16xy - 9yz

Answer:

find the area and then multiply

Step-by-step explanation:

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]

the inequality is 8 (w+18) ≤ 19

Answer: -15.625

Step-by-step explanation:

Let w represent the number:

8 (w + 18) ≤ 19

[tex]\frac{8\left(w+18\right)}{8}\le \frac{19}{8}[/tex]

[tex]w+18\le \frac{19}{8}[/tex]

[tex]w+18-18\le \frac{19}{8}-18[/tex]

[tex]w\le \:-\frac{125}{8}[/tex]

-125/8 or -15.625

Check:

[tex]8\left(-15.625+18\right)\le \:19[/tex]

[tex]8\cdot \:2.375 \leq 19[/tex]

[tex]19 \leq 19[/tex]

Therefore, the number is -15.625

Answer:

3 hours

Step-by-step explanation:

Answer:

  A

Step-by-step explanation:

If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...

  15 = x +8   ⇒   x = 7 . . . . long sides equal length

and ...

  x +2 = 2x -5 . . . . . short sides equal length

  7 = x . . . . . . . . . . add 5-x

The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.

Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.

Step-by-step explanation:

All the steps are in the pictures. If you have any questions let me know and I'll explain in simple terms :)

Answer:

2.25 feet.

Step-by-step explanation:

Formula: divide the value in inches by 12 because 1 foot equals 12 inches.

So, 27 inches = 27 /12  =  2.25 feet.