In an arithmetic sequence, the first term, a_1,a

1

​

, is equal to 2,2, and the fifth term, a_{5},a

5

​

, is equal to 38.38. Which number represents the common difference of the arithmetic sequence?

Answer:

Ming should use 3 teaspoons instead of 4.

Step-by-step explanation:

If you imagine each teaspoon as 25% of 100% then it is a lot easier. If Ming's tea needs to be 25% less sweet, then he should only use 75% of the sugar aka 3 tespoons. Hope this helps and good luck

Answer:

x = 14

Step-by-step explanation:

Vertical angles are congruent , then

7x - 27 = 3x + 29 ( subtract 3x from both sides )

4x - 27 = 29 ( add 27 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Answer:

\(4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80\)

enjoy it

Answer:

Step-by-step explanation:

If the exchange rate between British pounds (£) and US dollars ($) is £1 = $1.40, how much is £200 worth in dollars?

Include the $ sign in your answer.

280

$142.86

280.00

$280.00

$280

42.86

Answer:

yeetus

Step-by-step explanation:

Answer:

75 degrees

Step-by-step explanation:

180=35+70+x

180=105+x

180-105=105-105+x

75=x

Answer:

X + 35 + 70 = 180

X + 105 =180

X = 180 - 105

X = 85 degree

Budgeting for a household and a business both require setting financial goals, prioritizing expenses, and tracking income and expenses

Given that;

To find budgeting for a household be similar to budgeting for a business.

Since, Budgeting for a household and a business both require setting financial goals, prioritizing expenses, and tracking income and expenses.

Here,  In both cases, it's important to consider fixed and variable expenses, such as rent or mortgage payments, bills, food costs, and employee salaries.

And, Additionally, creating a contingency plan for unexpected expenses is essential for both households and businesses.

Hence, The main difference is that businesses may have more complex financial structures with investors or loans to consider, while households typically have simpler financial structures.

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My reactions to this:

???

My notes to you:

This is confusing... (At least for me it is...)

Answer:

X= 6.6

Length of de = 16.2

Step-by-step explanation:

Answer:

11 and -11

Step-by-step explanation:

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

\(V=\pi r^2h\)

Where, r = radius

h = height

Put the value into the formula

\(V=\pi\times(2)^2\times13\)

\(V=163.3\ cm^3\)

Hence, The volume of the cylinder is 163.3 cm³.

Answer:

It is 30

Step-by-step explanation:

This is because u are finding the LCM so hence 3 x 10 = 30 u are finding the LCM of the two different denominators keep that in mind

Reaction time refers to the time it takes for someone to respond to a stimulus. It's composed of two components: perception time and decision time.

The time it takes to move your foot from the gas pedal to the brake pedal can be estimated using the formula r=(5 m/s2 )=t1/2 , and the total reaction time is t1+t2. The acceleration magnitude, -a0, can be calculated using this formula: -a0 = Δv/t.

When we use the negative sign in front of the acceleration magnitude, we indicate that it is directed in the opposite direction of motion.

To calculate how far the car in front of you will travel before it stops, use the formula s = vi*t + 0.5*a*t2. The average velocity during this time interval is the displacement divided by the time.

Using the values from parts A and B, the distance you travel before applying the brakes is 44 meters, and the total distance you travel before stopping is 70 meters.

If you do not detect that the car in front of you is braking for one second, you will travel an additional 28 meters.

The recommended safe distance to stay behind a car at 60 mph is 3 car lengths.

The question deals with estimating the reaction time of a driver and the distance one would travel before coming to a halt in an emergency.

It is important to know the reaction time because it can help reduce the number of accidents caused by a driver's lack of responsiveness.

The formula r = (5 m/s2) = t1/2 can be used to estimate the time it takes to move one's foot from the gas pedal to the brake pedal.

This reaction time is composed of two components: perception time and decision time. When a driver detects a stimulus and decides how to react, these two components are used.

The magnitude of acceleration, -a0, can be calculated using this formula: -a0 = Δv/t.

When we use the negative sign in front of the acceleration magnitude, we indicate that it is directed in the opposite direction of motion. This formula assumes that the acceleration is constant, which is reasonable for small time intervals.
The distance that the car ahead of you will travel before stopping can be calculated using the formula s = vi*t + 0.5*a*t2, where s is the distance traveled, vi is the initial velocity, t is the time it takes to stop, a is the acceleration, and t2 is the time it takes to travel s meters.
The average velocity during this time interval is the displacement divided by the time.

To calculate the distance you travel before applying the brakes, use the formula s = vt + 0.5*a*t2. In this case, the distance is calculated using the driver's reaction time, which is t1 + t2.

If you do not detect that the car in front of you is braking for one second, you will travel an additional 28 meters. This suggests that drivers should be cautious and keep a safe distance from the vehicle in front of them to avoid accidents. The recommended safe distance to stay behind a car at 60 mph is 3 car lengths.

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Answer:

b

Block B has the greatest density.

Step-by-step explanation:

density = mass/volume

volume = length × width × height

All blacks have the dimensions 7 cm by 3 cm by 1 cm, so the 3 volumes are equal.

Since density = mass/volume, and the volumes are equal, the block with the highest mass has the highest density.

Since all the masses are different, all densities are different.

Answer: Block B

Solution

Idea: Similar triangles are triangles that have the same shape, but their sizes may vary.

Answer: 45

Step-by-step explanation:

Answer:

So lets do this the ole fashion way the simple ole 1-step equation

Step-by-step explanation

x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........

x=7

I think

Answer: -1

Step-by-step explanation:

1. add the numbers

2. add 8 to both sides

3 add the numbers

4. divide both sides of the equation by the same term

5. divide the numbers then cancel the terms that are in both the numerator and denominator then move the variably to the left

Answer:

\( - 6x + 3x = - 8 - 1\)

\( - 3x = - 9\)

divide both side by coefficient of x

\(x = 3\)

Answer is A

Answer:

The answer is greater than 10.

Step-by-step explanation:

The equation representing the cost of the canoe rental company is given by y = 30x + 20 .

Let the total cost for renting a canoe be y.

Let the canoe is being rent for x hours.

now the cost for renting the canoe at 30 dollars per hour = 30x

Total cost of renting the canoe = 30x + 20

But the total cost is y.

Hence the equation to represent this situation is given by

y = 30x + 20 which is a straight line of the form y = mx +c, where the slope is 30 and the y-intercept is 20.

Now we will plot the graph for this equation.

At x = 0 , y = 20

At x = 1 , y = 50

At x= -3 , y = -70

Hence the graph of the line passes through these points on the cartesian plane.

The graph of the line is attached below.

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PLEASE GIVE BRAINLIEST!

First, let's calculate the interest S paid on the loan he borrowed:

Simple interest for 2 years = (principal x rate x time) / 100

= (20000 x 6 x 2) / 100

= 2400

So, S paid Rs 2400 as simple interest on the loan he borrowed.

Now, let's calculate the amount of money S lent to the businessman:

Amount = principal x (1 + rate/100) ^ time

= 20000 x (1 + 6/100) ^ 2

= 20000 x 1.1236

= 22,472So, S lent Rs 22,472 to the businessman.

Now, let's calculate the interest earned by S on this loan after 2 years:

Compound interest for 2 years = amount - principal

= 22,472 - 20,000

= 2,472

So, S earned Rs 2,472 as interest on the loan he gave to the businessman.

Finally, let's calculate the profit earned by S after 2 years:

Profit = Interest earned - Interest paid

= 2,472 - 2,400

= 72

Therefore, S earns a profit of Rs 72 after 2 years.

Answer:

Step-by-step explanation:

We are to show that \(\sqrt{3} cosec140^{0} - sec140^{0} = 4\\\)

Proof:

From trigonometry identity;

\(cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}\)

\(\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\)

From trigonometry, 2sinAcosA = Sin2A

\(= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}\)

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

\(\frac{4(sin(420-140)) }{sin280}\)

= \(\frac{4sin280}{sin280}\\ = 4 \ Proved!\)

Answer:

5.1 hours

Step-by-step explanation:

Given that :

Naomi:

Time taken = 9hours

Rate = 1/9

Ramona :

Time taken = 12 hours

Rate = 1/12

Working together :

Time. Taken = 1 / (sum of their rates)

Time taken = 1 / (1/9 + 1/12)

L. C. M of 9 and 12 = 36

Sum up f their rates :

(4 + 3) / 36 = 7/36

Time taken = 1 / (7/36)

= 36 / 7

= 5.142 = 5.1 hours

Answer:

x=−4 and y=1

Step-by-step explanation:

Rewrite equations:

y=−2x−7;−3x+4y=16

Step: Solvey=−2x−7for y:

y=−2x−7

Step: Substitute−2x−7foryin−3x+4y=16:

−3x+4y=16

−3x+4(−2x−7)=16

−11x−28=16(Simplify both sides of the equation)

−11x−28+28=16+28(Add 28 to both sides)

−11x=44

-11x/-11=44/-11

x=−4

Step: Substitute−4forxiny=−2x−7:

y=−2x−7

y=(−2)(−4)−7

y=1(Simplify both sides of the equation)

x=−4 and y=1

Answer:

Step-by-step explanation:

The width of the rectangle is twice the length of the rectangle

The given parameters are:

Width = 4 cm

Length = 2 cm

Express 4 cm as 2 * 2 cm

Width = 2 * 2 cm

Substitute Length = 2 cm in Width = 2 * 2 cm

Width = 2 * Length

This means that the width of the rectangle is twice the length of the rectangle

Hence, the true statement is that the width of the rectangle is twice the length of the rectangle

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The average speed if the airplane when it travels 3850 km in 5.5 hours is 700 km per hours.

To calculate the average speed of the airplane, we can use the formula:

Average Speed = Distance Traveled / Time Taken

In this case, the distance traveled by the airplane is 3850 km, and the time taken is 5.5 hours. Let's substitute these values into the formula

Average Speed = 3850 km / 5.5 hours

Calculating the average speed

Average Speed = 700 km/h

Therefore, the average speed of the airplane from New York to Los Angeles is 700 km per hours.

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Answer:

Below.

Step-by-step explanation:

The first term (where k = 1)

= 3(2)^1-1

= 3*1

= 3,

The last term ( k = 10)

= 3(2)^(10-1)

= 3(2)^9

= 3* 512

= 1536.

Answer:

3

1536

A

Step-by-step explanation:

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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The all three statements are true about the political impact of environmental problems.

The political impact of environmental problems is complex and multifaceted. Governments often engage in debates and disagreements over how to solve environmental problems, including issues such as setting regulations, allocating resources, and implementing policies.

These disagreements can arise from differing perspectives on the severity of the problems, the best approaches to address them, and the distribution of responsibilities among countries.

2. These discussions may involve debates about the trade-offs between economic development and environmental protection, the role of industries and businesses in sustainability efforts, and the involvement of local communities in decision-making processes.

3. Overall, the political impact of environmental problems extends to various levels and involves different actors, including governments, international organizations, and individuals, leading to debates, disagreements, and discussions about the best ways to address these challenges.

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Therefore , the solution of the given problem of expressions comes out to be 24 represents the number of pencils in each pack.

Estimates should be generated using growing, equation, and blocking moving numbers rather than at random. They could only help one another by sharing resources, information, or solutions to issues. A statement of variable may also include formulas, pieces, and notations in addition to numerical calculations like addition, negate, synthesis, and combination. Evaluation and analysis are possible for both sentences and words.

Here,

The algebraic expression can be used to calculate the quantity of pencils the store has available for sale

if it has "n" packs of scented pencils, each having 24 pencils:

=> 24n

where n is the number of packs available, and 24 represents the number of pencils in each pack.

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