A small airplane used 7 1/3 gallons of fuel to fly a 3 hour trip. How many gallons were used each hour? Each day?

Answer:

2

Step-by-step explanation:

because it can find the circumference

The correct answer is 317.

The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The series is,

⇒ 16, 20, 25,

Now, We get;

Common ratio = 20 / 16 = 5 / 4

And, 25 / 20 = 5 / 4

Thus, The series is geometric series.

Hence, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)

⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)

⇒ S₈ = 16 × 4 (325,089 / 65,536)

⇒ S₈ = 317.46

⇒ S₈ = 317

Thus, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

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Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector

Answer:

The answer would be D. There's 2% more students taking Italian at School A, not 2 more students total.

Answer:

B (false)

Step-by-step explanation:

it is 0.056

Answer:

a) 3.625 or [tex]\frac{29}{8}[/tex]

b) 7.05 or [tex]\frac{141}{20}[/tex]

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

That 'd be the square root of 300, which is equivalent to 10sqrt(3).

Answer:

COULD YOU PLEASE HELP ME ON MY RECENT QUESTION ASAP

Step-by-step explanation:

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  [tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]

_____

I find it helpful to remember that a logarithm is an exponent.

  [tex]\log_a(a^b)=b[/tex]

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

Answer:

Shopping Mall: (-6,3)

Movie Theater: (-6,0)

Parking Garage: (-6,2)

Beauty Parlor: (-6, -2)

Explanation:

The starting point here is the (0,0), or what would be considered according to the reading the "Town Hall".

The shopping mall is a point at the west (left) of the graph. We can know this because during the reading it is specified that the city center is 6 units east of the movie theater, which is only three units south of the mall. This means that the same distance of x between the Shopping Mall and the line y would be the same as the movie theater to the town hall, adding three units of y: (-6, 3)

Knowing this point, the Parking Garage is easier to find since it is just one unit below the mall. (-6, 2). Only the y value changes.

Knowing where the garage is, the reading says 3 units further down is the Movie Theater —3 units to the south of the shopping mall, and 2 in the same direction of the garage, the red point is marke d at (6.0).

The Beauty Parlor is the reflection of the parking garage across the x-axis. To find the reflection of a graph point across the x-axis, the formula is: (x, y) → (x, -y). Hence, the garage point, which we said was (-6, 2), becomes (-6, -2). The -6 (x) remains negative, while the 2 changes its sign.

Answer:

[tex]Pr = \frac{1}{26}[/tex]

Step-by-step explanation:

Given

In a deck of card, we have:

[tex]Cards = 52[/tex]

[tex]King[Heart] = 1[/tex]

[tex]Queen[Spade] = 1[/tex]

Required

The probability of obtaining a king of heart or a queen of spade.

The probability of king of heart is:

[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]

[tex]P(King[Heart]) = \frac{1}{52}[/tex]

The probability of queen of spade is:

[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]

[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]

The required probability of obtaining a king of heart or a queen of spade. is:

[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]

[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]

Take LCM

[tex]Pr = \frac{1+1}{52}[/tex]

[tex]Pr = \frac{2}{52}[/tex]

Simplify

[tex]Pr = \frac{1}{26}[/tex]

Answer:

C) The confidence interval is not biased.

Step-by-step explanation:

When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of  heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.

The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.

The response variables are also called dependent variables and their values depend on the values of the explanatory variables.

For this case, it is considered that:

It is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.

Thus, the most important condition that must be checked is:

Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).

Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Learn more about correlation here:

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Answer:

58 1/3

Step-by-step explanation:

14=.24x

14*25/3 = x

58 1/3

Answer:

n = 6

Step-by-step explanation:

2 = [tex]\frac{n}{3}[/tex]

multiply both sides by 3

=> n = 6

Answer:

n = 6

Step-by-step explanation:

If 2 = n/3, then n = 6, because 3 times 2 is 6 (2 of 3 is 6)

(side note, this might not be what you are looking for soo)

Complete question :

a. Of less than$720?

b. Of more than $840?

c. Between $680 and $760?

Answer:

0.500 ; 0.0013 ; 0.6827

Step-by-step explanation:

Given that :

Mean, μ = 720

Standard deviation, σ = 40

P(Z < x)

x = (x < 720)

Obtain the standardized value of x

P(x < 720) = (x - μ) / σ

P(x < 720) = (720 - 720) / 40

P(x < 720) = 0

P(Z < 0) = 0.5

B.) More than $840

P(x > 840)

P(x > 840) = (x - μ) / σ

P(x > 840) = (840 - 720) / 40

P(x > 840) = 120 / 40 = 3

P(Z > 3) = 0.0013499 (Z probability calculator)

c. Between $680 and $760?

P(760 < x < 680)

P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)

P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)

P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268

Answer:

$10.71

Step-by-step explanation:

[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]

y × 35 = 3.75 × 100

35y = 375

35y ÷ 35 = 375 ÷ 35

[tex]y=10\frac{5}{7}[/tex]

y = 10.7142857143

10.7142857143 round to 10.71

Answer:

Solution given:

4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]

45=10x-7x

x=45/3

x=15

now.

<B=4x=4×15=60° is your answer

The required measure of ∠B is 60° for the given triangle.

An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

According to the shown figure, we have:

The external angle is ∠BCG = 10x - 45.

And, two interior angles as ∠A = 3x, and ∠B = 4x.

As we know that the sum of two opposite interior angles equals the exterior angle.

So, we can be written as follows:

4x + 3x = 10x - 45

45 = 10x - 7x

x = 45/3

x = 15

So, the measure of ∠B is:

∠B = 4x

∠B = 4 × 15

∠B = 60°

Thus, the required measure of ∠B is 60°.

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Answer:

31 1/2 yd 2

Step-by-step explanation:

4*6=24

3*5= 15 15/2 = 7 1/2

24+7 1/2 = 31 1/2

Answer:

-20/12 as an example there are many others

Answer:

The volume is x times x times x which is x^3 :)

Step-by-step explanation:

5+2+4+6+7-9+8-0+9-3

7+10+15-9-0+9-3

32-9+9-3

41-12+9

50-12 = 38 ans

Answer:

y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-2}{6-0}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{4}{3}[/tex] x + 2 ← equation of line

Answer:

(-2,5/3)

Step-by-step explanation:

Answer:

48.2 cm

Step-by-step explanation:

The bottom side of the large triangle has length 78 cm.

The bottom side of the right triangle has length 78 cm/2 = 39 cm.

Now we use the Pythagorean theorem to find the vertical side, the spine.

39² + s² = 62²

s² = 3844 - 1521

s² = 2323

s = 48.2

Answer: 48.2 cm

Answer:

$15.19

Step-by-step explanation:

8.5% = 0.085

0.085 x 14 = $1.19

1.19+14= $15.19

Answer:

[tex]A=\dfrac{3.14r^2}{2}[/tex]

Step-by-step explanation:

The area of a circle is given by :

[tex]A=\pi r^2[/tex]

Where

r is the radius of the circle.

If we talk about the area of half of the circle, it means we have to half the area such that,

[tex]A=\dfrac{\pi r^2}{2}\\\\or\\\\A=\dfrac{3.14r^2}{2}[/tex]

Hence, this is the required solution.