3. An arithmetic sequence a begins 11, 7,...
a. Write a recursive definition for this sequence using function notatio
b. Sketch a graph of the first 5 terms of a

In the equation y = 10 - 0.1x, the coefficient 0.1 represents the slope of the line.

it represents the rate of change of y with respect to x, which is the amount by which y changes for every unit increase in x.

In this case, the slope is negative (-0.1), which means that as the number of minutes on hold (x) increases by 1 unit, the level of satisfaction (y) decreases by 0.1 units.

In other words, the longer a customer spends on hold, the lower their level of satisfaction is likely to be. The slope is a key parameter in the equation and provides valuable information about the relationship between the two variables.

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Answer:

To find the slope of two given points, you can use the point-slope formula of (y2 - y1) / (x2 - x1). With the points plugged in, the formula looks like (3 - 2) / (4 - 1). Simplify the formula to get a slope of ⅓.

Step-by-step explanation:

Answer:

He rode farther on Sunday

135/7 - 139/8 = 107/56 or 1 51/56 miles farther

Answer:D

Step-by-step explanation: I got a hundred on my test.

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer:

I think A because we can't see the thing

Answer:

x=1

Step-by-step explanation:

The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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The probability of selecting a yellow ball is approximately 37%.

P(yellow)=37%.

What is probability ?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Probability is used in many areas of mathematics, science, and everyday life to help us make decisions, assess risk, and understand uncertainty. It is an important concept in statistics, which uses probability to study and analyze data.

According to the question:

To find the probability of selecting a yellow ball, we need to divide the number of yellow balls by the total number of balls in the bag.

Total number of balls = 15 green + 18 yellow + 16 orange = 49

So, the probability of selecting a yellow ball is:

P(yellow) = Number of yellow balls / Total number of balls = 18/49

Rounding to the nearest percent, we get:

P(yellow) ≈ 37%

Therefore, the probability of selecting a yellow ball is approximately 37%.

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Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

Answer:

1cm^3

Step-by-step explanation:

Answer:

Please remember

n

√

x

is written as

x

1

n

in exponential form

Hence

3

√

x

2

y

can written as

(

x

2

y

)

1

3

As

(

x

a

)

b

is nothing but

x

a

⋅

b

3

√

x

2

y

=

(

x

2

y

)

1

3

=

x

2

⋅

(

1

3

)

*

y

1

3

=

x

2

3

*

y

1

3

Step-by-step explanation:

Answer:

the answer is c . hope it helps

Answer:

b

Step-by-step explanation:

Answer:

252 minutes

Step-by-step explanation:

All lawns are the same size, so it doesn't matter the exact size of the each lawn. Ignore the 0.2 acre size.

He started the first house at 9:00 AM and the sixth house at 10:00 AM.

Read the sentence above carefully. He started the first lawn at 9:00 AM. Since he started the sixth lawn at 10:00 AM, that means he finished the fifth lawn at 10:00 AM. In 1 hour, from 9:00 AM to 10:00 AM, he did 5 lawns.

1 hour = 60 minutes

60 minutes per 5 lawns = 60/5 minutes/lawn

which can be reduced to

12 minutes per lawn

His unit rate is 12 minutes/lawn.

Now you multiply his unit rate by the number of lawns, 21 of them, to find the number of minutes to spray 21 lawns.

12 minutes/lawn * 21 lawns = 252 minutes

Answer: 252 minutes

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

Westbound = x;

Eastbourne = x-20;

So they will have the common rate: 360/2 = 180;

x+x-20 = 180

2x = 200;

x = 100;

So Eastbourne will be 100-20 = 80 miles per an hour;

Answer:

\(\frac{114250}{41}\)

Alternative Forms: \(2786.\overline{58536},2786\frac{24}{41},\approx2.786585\times{10}^3\)

(Step-by-step explanation)

\(457\div16.4%\)%

Calculate

\(\frac{457}{0.164}\)

Multiply both the numerator and denominator with the same integer

\(\frac{457000}{164}\)

Cross out the common factor

\(\frac{114250}{41}\)

I hope this helps you

:)

Answer: ann is 69 and beth is 138

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

7.5 cubic yards

Step-by-step explanation:

3* 5/2= 15/2= 7.5 cubic yards

if my answer helps please mark as brainliest.

Answer:

green line or "b"

Step-by-step explanation:

we can set this up into the slope intercept form

y=mx+b

where m is the slope and b is y intercept

12=3x+4y

-3x -3x

-3x+12=4y

/4.  /4.  /4

-3/4x+3=y

we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"

hopes this helps please mark rainliest

Answer:

\(x=-1\)

Step-by-step explanation:

STEP 1: Factor  x ^2 − 8 x + 12  using the AC method.

\(\frac{4}{(x-6)(x-2)} =\frac{x}{x-2} +\frac{1}{x-6}\)

STEP 2: Find the LCD of the terms in the equation.

\((x-6)(x-2)\)

STEP 3: Multiply each term by  ( x − 6 ) ( x − 2 )  and simplify.

\(4=x^2-5x-2\)

STEP 4: Solve the equation.

\(x=6,-1\)

STEP 5: Figure out the answer.

\(x=-1\)

Answer:

x=-1

Step-by-step explanation:

Answer:

E) 45

.

.

.

.

.

.

.

.

.

.

.

.

.

.

.

Answer:(3,1)

Step-by-step explanation:

The area between the solid line (y=x+4) and the dotted line (y=-2x-2) represents the system of inequalities solution set.

Two linear inequalities system on a coordinate plane. The first has a solid line graphed with a negative slope of one, a negative y-intercept, and a shaded origin area. The area encompassing the origin is shaded, and the second is a dashed vertical line 3 units to the left of the origin.

x ≥ –3; y ≥ x – 2

x > –3; 5y ≥ –4x – 10

x > –3; y ≥ –x + 1

x > –2; y ≥ –x – 1

The solution set for the system of inequalities is represented by the region between the solid line (y=x+4) and the dotted line (y=-2x-2).

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Answer:

4. The strength of class V is 300

5. Meenakshi bought a TV for Rc 46,000

Step-by-step explanation:

4. To round to the nearest hundred, check the number in the 'tens'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 7, so we rounded up to 300.

5. To round to the nearest thousand, check the number in the 'hundreds'. If its five or greater, round up, and if its lower than 5, round down. In this case it was 3, so we rounded down to 46,000.

SOLUTION:

Step 1:

In this question, we have the following:

The length between the bases on a baseball field is 90ft.

A scale drawing shows the distance between the bases is 2 1/2 inches.

One inch on this drawing equals how many ft?

Step 2:

Cross-multiply, we have that:

CONCLUSION:

One inch on this drawing equals 36 feet

Answer:

225

Step-by-step explanation: