This table gives a few (x, y) pairs of a line in the coordinate plane. What is the y-intercept of the line?

Answer:

10

Step-by-step explanation:

The common ratio of the geometric sequence 10,60, 360,... is 6.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, A geometric sequence 10,60, 360,...

We know the common ratio r in a geometric sequence is

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Therefore,

The common ratio in this geometric sequence  10,60, 360,... is,

= 60/10 = 360/60 = 6.

So, The common ratio is 6.

learn more about geometric sequence here :

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Answer: 60

(Sorry for not showing my work)

Answer:

-3.7

Step-by-step explanation:

-3.2 + 1.5 -2 = -3.7

Answer:

-5/2

Step-by-step explanation:

-6+11/2+(-2)

-12+11+(-4)/2

-5/2

Answer:

Yes

Step-by-step explanation:

The chord is a diameter only if it passes through the center of the circle. And a diameter is a chord because it goes from on point on the circle to another in a straight line.

Answer:

( − 5 , 1 )

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Answer:

-6

Step-by-step explanation:

Answer:

-6/1 or just -6

Step-by-step explanation:

15/4 ÷ (-5/8) is -6/1 .

Find the reciprocal of the divisor

Reciprocal of (-5/8) : (-8/5)

Now, multiply it with the dividend

So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)

= 15 × (-8)  = -120

   4 × (-5)   =  -20

After reducing the fraction, the answer is -6/1 or just -6.

Answer:

x=48

Step-by-step explanation:

Since these angles are supplementary, they add up to 180. so, you can set the equation x+23+x+61=81. Simplify the equation and solve for x

Answer:

#1 is x+23°=23

#2 is x+61°=61

Step-by-step explanation:

Because when you are adding it will always be a positive number

But when you are subtracting it will always be a negative number

They can buy 20 pumpkins

Answer:

they can buy 20 pumpkin

Step-by-step explanation:

250/12.32=20.29222077922

so 20 pumpkin they can buy

Answer:

distance is 5

midpoint is (1/2,-2)

Step-by-step explanation:

2 cents per ounce.

Work

$8.80 divided by 44

Answer:

X = 1/2f - 1

Step-by-step explanation:

X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.

Answer:

B. 4d + 50 = 114

Step-by-step explanation:

Given parameters:

Hourly rate = $d/hr

Flat fee = $50

Charge for the 4hrs = $114

Number of hours = 4hrs

To find d;

    Total cost  = $114;

             $114  = Flat fee + (rate per hour x number of hours)

            $114 = $50 + 4d

The value of d can be calculate using;

           4d + 50 = 114

The value of d is 4d + 50 = 114

Given parameters:

Percentage of enrollment of 3-year-olds = 40%

Unknown:

Probability that a randomly selected 3-year-old is enrolled in a day care = ?

Probability is the likelihood of an event to occur.

   Probability  = [tex]\frac{Possible outcome}{Total out come}[/tex]

In this problem, 40% of the total number of 3-year-olds are enrolled in a day care.

  We can say, out of every 100 3-year-olds, 40 of them will enroll in day care.

The possible enrollment is 40 and the total is 100;

Input the parameters and solve;

      Probability  = [tex]\frac{40}{100}[/tex]   = [tex]\frac{2}{5}[/tex]

The probability that any randomly selected 3 year old is enrolled in day care is [tex]\frac{2}{5}[/tex]

Answer:

55%

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

117 - 94 should be the correct answer

If x is his speed, and the speed limit is 65 mph, then the inequality [tex]x > 65[/tex] represents him going over the speed limit.

The inequality [tex]x \le 65[/tex] is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).

Answer:

-2 and 13

Step-by-step explanation:

the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.

Answer:

51.6 was the average speed

Step-by-step explanation:

speed= distance/time

Answer: a3−5a2+4a+5

Step-by-step explanation:

4a+−a3+−3+2a3+−5a2+8

=(−a3+2a3)+(−5a2)+(4a)+(−3+8)

=a3+−5a2+4a+5

Answer:

22 Hours

Step-by-step explanation:

26400/20 = 1320m

1320m = 22h

22 Hours

Answer:

114

Step-by-step explanation:

1 x 4 x 114 = 456

Answer:

Width: 9.5 inches

Step-by-step explanation:

We have to convert the 1 foot to 12 inches.

New Dimensions: 12in x 4in x ?in

We multiply the 12 by 4 and we get 48.

Now we divide 456 by 48.

We get: 9.5

9.5in is the width of the box.

Answer:

(3, 4)

Step-by-step explanation:

Answer:

3:1,

Step-by-step explanation:

because if you multiple 3x9=27, and 1x9=9 you get 27:9

Answer:

Distance between Henry and his uncle is 74.25km.

Step-by-step explanation:

Speed of Hawk with wind = 50+5

                                           =55km/hr

Speed of Hawk against wind = 50-5

                                               =45km/hr

we know that ,

        [tex]Distance = speed \times time[/tex]

Let the distance between Henry and uncle is d,

According to the question ,

[tex]\frac{d}{55} + \frac{d}{45} = 3[/tex]

[tex]\frac{9d + 11d}{495} =3[/tex]

[tex]20d = 3\times 495[/tex]

[tex]d =\frac{3\times495}{20}[/tex]

d= 74.25km

Hence , the answer is 74.25km

The relation between speed, time, and distance is used. Then the distance between Henry's uncle from Henry is 74.25 miles.

The distance covered in an hour is called speed. it is a scalar quantity.

The concept of relative speed is used when two or more bodies moving with some speed are considered.

Henry sends his hawk with a message to his uncle.

The hawk flies out against the wind and returns with the wind, spending 3 hours on the whole trip.

We know the relation

[tex]\rm speed = \dfrac{distance }{time}[/tex]

Let the distance between Henry's uncle from Henry be x.

The time of the trip is during the traveling remains constant. That is

[tex]\rm T = T_1 + T_2\\\\T = \dfrac{x}{v_1} + \dfrac{x}{v_2}[/tex]

The speed of the wind is 5 mph, and the hawk flies 50 mph in quiet weather. Then we have

[tex]\rm v_1 = 50 - 5 = 45\\\\v_2 = 50 + 5 = 55[/tex]

Then

[tex]\begin{aligned} \rm \dfrac{x}{45} + \dfrac{x}{55} &= 3\\\\\rm \dfrac{9x + 11x }{495} &= 3\\\\\rm 9x + 11x &= 1485\\\\\rm 20x &= 1485\\\\\rm x &= 74.25 \end{aligned}[/tex]

Thus, the distance between Henry's uncle from Henry is 74.25 miles.

More about the speed link is given below.

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