How do I solve this arithmetic sequence?

Answer:

1/8

Step-by-step explanation:

1/2-3/8

4/8-3/8=1/8

An expression is defined as a set of numbers, variables, and mathematical operations. The expression can be written in the form of 2ⁿ as 2⁴.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression can be rewritten as,

[tex]\dfrac{2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2 \cdot2}{2 \cdot2 \cdot2 \cdot2} = \dfrac{2^8}{2^4} = 2^{8-4} = 2^4[/tex]

Hence, the expression can be written in the form of 2ⁿ as 2⁴.

Learn more about Expression:

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Answer:

Well this is Same side interior angles which would mean that its supplementary or 180.

So we can just,

4x-2+17x+14=180

Combine like terms

21x+12=180

Perform inverse

21x=168

Divide/isolate

x=8

So the value of (x) is 8

Step-by-step explanation:

Well here’s a little tip that might help

So in order to identify interior/exterior angles you have to find the location. The two lines are whats separates the inner and the outter.

The Outter are outside the two parralel lines, their not in between. There are 4 exterior angles.

The inner are the 4 angles between the two parralel lines. There are 4 interior angles.

So there are 5 different ways you would usually hear them.

Alternate interior angle

Alternate exterior angle

Same side exterior (or better known as Converese of the same side exterior)

Same side interior (better known as the converse of the same side interior)

Corresponding

Alternate is basically different sides, but they gotta be only one angle choice, exterior or interior, if correct it makes this slash or back slash if you connect the points.

Same side is basically same side and they have to be the right type (exterior/ interior)

Corresponing has to be the same side also but they have to have.One interior and one exterior.

Corresponing angles are congruent (equal)

Alternate exterior/interior are congruent (equal)

Same side exterior/interior Are supplemenaty (they equal 180)

Answer:

z=7

Step-by-step explanation:

3z+5=4z-2

5=4z-2-3z

5=z-2

5+2=z

7=z

z=7

Answer:

B y=1/4x-2

Step-by-step explanation:

in y = mx + b

the b is the y intercept. this is where the line cuts through the y axis. you can see that it is going through the y axis at -2.

now look for your slope. I use rose over run. you can see that the line intersects at (4,-1)

"rise" is how far up or down to your next point."run" is how far left your right your next point is. in this case, the next point is 1 up and 4 to the right of a point. this translates to 1/4. this is a positive slope because your line goes upwards from left to right.

Answer:

21:9

28:12

35:15

Step-by-step explanation:

Multiply both numbers by the same numbers (I chose 3,4, and 5)

Answer:

14:6 - 21:9 - and 28:12

Step-by-step explanation:

just multiple the original ratio by 3 so when you reduce, they'll equal to 7:3

Answer:

936

Step-by-step explanation:

Answer:

1/2 > 3/8

Step-by-step explanation:

To compare the answers, we need to change them to the same denominator.

2x4=8

So we can create an equivent fraction of 1/2 by dividing both numbers by 4:

1x4=4

2x4=8

1/4=4/8

Now we are comparing 4/8 and 3/8, and we can see clearly that 4/8 is greater than 3/8 because 4 is greater than 3.

Hope this helped!

Answer:

3456 × 300 is equal to 1036800.

Answer:

1036800 right or did i miss read the question?

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

23x+67=90

23x=23

x=1

Answer:

x=1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

96 m²

Step-by-step explanation:

To calculate the area of a composite shape, you must divide the shape into rectangles, triangles, or other shapes.

                                                  A = l × w

                                                   L = length

                                                 W = width

Find the area and then add the areas back together.

                                                    12m × 8m

                                                   = 96 m²

The area of the composite shape is 96 m²

Answer:

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Step-by-step explanation:

As the level of significance is decreased the area for the favorable outcomes is increased. The value of ∝= 0.1 has a narrower area of favorable outcomes then the values of ∝= 0.05 or 0.01 because the value 0.1 ( 1%) is closer to the middle value or at the extreme values of the distribution as the case may be for 2 tailed or 1 tailed test.

Significance level        Two tailed Test          One tailed test

0.1                                   ± 1.645                               ±1.28

0.05                                 ±1.96                                ± 1.645

0.01                                ± 2.58                                 ±  2.33

So if the middle point is taken as zero we see that the spread of the area of the favorable values increases as the value of ∝ significance level decreases.

The region of acceptance gets bigger and the null hypothesis is mostly accepted as it lies in the acceptance region.

Answer:

40.25 yds to the the nearest 100th

Step-by-step explanation:

The diagonal forms a right triangle with the length and width.

The diagonal is the hypotenuse

So, let d = the diagonal distance

[tex]d^{2}[/tex] = [tex]18^{2} + 36^{2}[/tex]

   = 324 + 1296

   = 1620

d =  [tex]\sqrt{1620}[/tex] = 40.25 yds to the the nearest 100th

Answer:

X = 65

Step-by-step explanation:

2(65) + 15 = 145

ur welcome

Given:

A diagram of Aram's observations.

To find:

The measure of the missing angle.

Solution:

From the given figure it is clear that the three angles [tex]52^\circ,x^\circ,68^\circ[/tex] lie on a single point and right side of a straight line.

So, the sum of angle [tex]52^\circ,x^\circ,68^\circ[/tex] must be [tex]180^\circ[/tex].

[tex]52^\circ+x^\circ+68^\circ=180^\circ[/tex]

[tex]x^\circ+120^\circ=180^\circ[/tex]

[tex]x^\circ=180^\circ-120^\circ[/tex]

[tex]x^\circ=60^\circ[/tex]

Therefore, the measure of the missing angle is [tex]x^\circ=60^\circ[/tex].

Answer:

C

Step-by-step explanation:

3n= 3 times n

And it is less than 52

Answer:

C. Three times n is less than fifty-two.

Step-by-step explanation:

Nevermind, my answer is wrong

Answer:

$35.00

Step-by-step explanation:

175 x .20=35

Answer:

x = 4

Step-by-step explanation:

5x + 15 = 35

subtract 15 from each side of the equation:

5x = 20

divide both sides by 5:

x = 4

Answer:

D. Each grid line should represent 4 types of drink.

27 Hope this helps :T

Answer:

27 Ans ......

Step-by-step explanation:

Given:

=√3x9x27

Solution:

=√3x9x27

=√729

=27 Ans ...... .

Answer:

The y-int represents the base price of $200 for airfare from NYC

The slope represents a cost of 30 cents per mile traveled

If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y=50+0.30x

If the cost per mile changed to 50 cents, the new equation would be y=200+0.50x

Answer:

Resultados están más abajo.

Step-by-step explanation:

Dada la siguiente información:

Costo total= $1,956

Para calculate el valor parcial, debemos usar la siguiente información:

Precio proporcional= costo total* ( 1 - porcentaje de descuento)

50%:

Precio proporcional= 1,956*(1 - 0.5)

Precio proporcional= $978

25%:

Precio proporcional= 1,956*(1 - 0.75)

Precio proporcional= $489

Answer:

∡TQS = 10x -3

Step-by-step explanation:

∡TQS = ∡RQS - ∡RQT

= 22x - 11 - (12x - 8)

= 10x -3

Answer:

1 = A

2 = F

3 = I think maybe B

Step-by-step explanation:

Hope that this helps you out! :)            

If you have any questions please put them in the comment section below this answer.            

Have a great rest of your day/night!            

Please thank me on my profile if this answer has helped you.

Answer:

(34, 48)

Step-by-step explanation:

According to the Empirical Rule, 95% of normally distributed data lie within two standard deviations of the mean.  That, in turn, means 95% of the data in this problem lie within 2(3.5 min), or 7 min, of the mean:

41 - 7 < mean < 41 + 7, or

34 < mean < 48, or simply (34, 48)

Use the equation provided above (Area = 1/2bh) where b = base and h = height of triangle

This formula can oy be used for right angled triangles.

You find the base of the right angled triangle by dividing the base given in the diagram by 2.

The height is already given, the dotted line is the height.

Multiply everything together and the answer obtained is the area of the triangle