2a+3b as a column vector

Answer:

18.86 m

Step-by-step explanation:

From the given question, both covers the same distance of the straight line segment.

For the inner lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                   = 30 x [tex]\frac{22}{7}[/tex]

                                   = 94.2857

So that,

the total length for the two halves of the inner lane = 2 x 94.2857

                                                                  = 188.5714 m

For the outer lane,

length of arc of its semicircle = [tex]\pi[/tex]r

                                                 = 33 x [tex]\frac{22}{7}[/tex]

                                                 = 103.7143

The total length for the two halves of the outer lane = 2 x 103.7143

                                                                  = 207.4286 m

The difference between the two = 207.4286 - 188.5714

                                                       = 18.8572 m

Therefore, Devin would run 18.86 m more to complete one lap.

Answer:

y=-4.2

Step-by-step explanation:

2.9=7.1+y

2.9-7.1=7.1-7.1 +y

-4.2=y or y= -4.2

y = -4.2

If you substitute that value for y into the equation, you'll get 2.9 = 7.1 + (-4.2)... and that is a correct, valid equation. HOPE THAT HELPS!

Answer:

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

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:

x=11

Step-by-step explanation:

Hi, there you are using are multiplying so you have to add the exponets 3 and 8 which would equal to 11

Answer:

yes 18 24 and 30 does form a right triangle

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:

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:

Answer:

X = 65

Step-by-step explanation:

2(65) + 15 = 145

ur welcome

Answer:

11. m=-1/4 b=5 equation is y=-1/4x+5

12.m=4/3 b=0 equation is y=4/3x

Step-by-step explanation:

Answer:

3456 × 300 is equal to 1036800.

Answer:

1036800 right or did i miss read the question?

Step-by-step explanation:

Answer:

Center (7,2) and radius = 10

Step-by-step explanation:

Generally, we have the equation of a circle as follows;

(x-a)^2 + (y-b)^2 = r^2

where (a,b) represents the circle center and r represents the radius of the circle

Looking at the given equation of a circle, we have it that the center is (7,2) while the radius of the circle is 10

Answer:

Evaluate: 12a - 24b - 4

A real world example where repetition is allowed is in the sport of archery, where players get multiple attempts to shoot an arrow as close to the center of the target as possible

Answer:

1.27272727273 I think

Step-by-step explanation:

Answer:

$35.00

Step-by-step explanation:

175 x .20=35

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:

Step-by-step explanation:

Because it's adding by a constant I'm pretty sure

Answer:

B

Step-by-step explanation:

Since here, 100x = 1, and since we already have one, we can leave that aside. It would never be d because that is way larger. The second square is 6/100 and since earlier we said 100x = 1, we would have to make an equation. Your answer is B

Answer:

1/6

Step-by-step explanation:

the probability of rolling a 2 is 1/6

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:

This would be graph A

Step-by-step explanation:

x = 2  means that it is a vertical ( up and down) line

It is a x=2

This would be graph A

Answer:

40.56

Step-by-step explanation:

2pir

8÷2=r=4

2pi4=25.13

25.13÷2=12.565

10+10+8+12.56=40.565

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

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