i need help fast pleaseeeeeeeeeee :) (:()

I Need Help Fast Pleaseeeeeeeeeee :) (:()

Answers

Answer 1

Answer:

translation down 2 and reflection across x axis


Related Questions

Please help. Thank you

Please help. Thank you

Answers

Answer:

24

Step-by-step explanation:

An angle bisector splits an angle into two congruent parts, so -6+2x=10x-78, and thus x=9.

This means angles STV and UTV both measure 12°.

Therefore, angle STU measures 24°.

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
8 Ft
11 ft
6 ft
9 ft

A rectangular region is removed from another rectangular region to create the shaded region shown below.

Answers

The answer should be 11feet

Sally examined the three triangles pictured below. What is a possible conjecture

Answers

Answer:

where are the triangles

What is the area of the trapezoid?
6 in
YLSURGER
6 in
12 in
6 cm

What is the area of the trapezoid?6 inYLSURGER6 in12 in6 cm

Answers

Answer:

1) 54 in²

2) 35 cm²

Step-by-step explanation:

Area of the trapezoid:

      A trapezoid is a quadrilateral with one pair of parallel sides called its bases. The height is perpendicular to its bases.

         \(\boxed{\text{\bf Area of trapezoid = $\bf \dfrac{(a+b)}{2}*h$}}\)

Here, a and b are the bases and h is the altitude (height).

   1)  a = 6 in  ; b = 12 in ; h = 6 in

          \(\sf Area \ of \ trapezoid = \dfrac{(12+6)}{2}*6\)

                                      \(\sf = \dfrac{18}{2}*6\\\\= 9 * 6\\\\= 54 \ in^2\)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2) a = 6 cm ; h = 5 cm

  b = 6 + 2 = 8 cm

   \(\sf Area \ of \ trapezoid = \dfrac{(6+8)}{2}*5\)

                              \(\sf = \dfrac{14}{2}*5\\\\= 7*5\\\\= 35 \ cm^2\)

Which student's table is correct?
O Emily
O Will
O Sarah
O Maria

Answers

answer: maria
explanation

In 4 hours, the temperature steadily fell from 0 F to -12 F. What was the average change in temperature per hour?

Answers

Answer: -3 because it reduced -3 every hour of you divide -12 by 4 you will get -3 which is the average

I hope it helps if it does can you please mark me as Brainliest

what are the five lessons or skills you learned in your t.l.e
9​

Answers

Answer:

Step-by-step explanation:

Throughout life, we learn lessons and skills that drastically change the way we view the world and the decisions we make. For me, the lessons and skills that were the most important were the following ...

Don't be jealous of what others have.Invest as much as you can in your 20'sLearn to codeLearn to play GuitarHave goals.

All of these lessons and skills have helped me visualize a future that would make me happy and has even opened some doors which would help make such a future a reality.

The area of a square is given as (s³)6.

What is its perimeter?

Answers

Answer:

hi friends good evening

Explain the properties of following shapes in detail -
(a) Parallelogram
(b) Trapezium
(c) Rhombus

Satisfied answerer will get thanks and brainliest.​

Answers

Answer:

The Properties of parallelogram are

a) Opposite sides are equal

b) All angles are not 90°

The Properties of trapezium are

a) One pair of opposite side is parallel

b) side of adjacent angle and non parallel side

of trapezium is 180°

The Properties of rhombus are

a) All sides are equal

b) All angles are not 90°

Parallelogram: 4 sides with opposite sides equal and parallel. Opposite angles equal.

Trapezium: 4 sides with one pair of parallel sides.

Rhombus: 4 equal sides.

Yes. A rectangle is a special parallelogram an a square is both a parallelogram and a rhombus.
Both of them are special because the angles are all right angles.

Differences between the traditional management pyramid and the upside down pyramid. what managerial skills and competencies do you expect to be emphasized in the upside down pyramid?

Answers

The traditional management pyramid and the upside-down pyramid represent two different approaches to organizational structure and management philosophy.

1. Traditional Management Pyramid:

The traditional management pyramid is characterized by a hierarchical structure with a top-down approach. It consists of multiple levels of management, with decision-making authority concentrated at the top. Key features of the traditional pyramid include:

- Centralized decision-making: Decision-making authority resides with top-level managers, who pass instructions down through the hierarchy.

- Command and control: Managers exercise control over subordinates, and communication primarily flows from top to bottom.

- Emphasis on authority: Power and authority are concentrated at higher levels, with less decision-making autonomy for lower-level employees.

- Limited empowerment: Employees typically have less autonomy and limited involvement in decision-making processes.

2. Upside-Down Pyramid:

The upside-down pyramid, also known as the inverted or flattened pyramid, represents a more contemporary approach to organizational structure and management philosophy. It emphasizes employee empowerment, collaboration, and a focus on customer satisfaction. Key features of the upside-down pyramid include:

- Decentralized decision-making: Decision-making authority is distributed across various levels, empowering employees at all levels to make decisions.

- Collaborative communication: Communication flows in multiple directions, fostering collaboration and feedback among employees and managers.

- Servant leadership: Managers adopt a supportive role, serving the needs of employees and removing barriers to their success.

- Employee empowerment: Employees are empowered to take ownership, make decisions, and contribute to the organization's success.

- Customer-centricity: The upside-down pyramid places a strong emphasis on meeting customer needs and delivering exceptional service.

In terms of managerial skills and competencies, the upside-down pyramid emphasizes the following:

- Communication and collaboration: Managers need strong communication skills to foster collaboration, facilitate dialogue, and create an open and inclusive work environment.

- Coaching and mentoring: Managers should possess coaching and mentoring skills to support employees, help them develop their potential, and enable their success.

- Emotional intelligence: Understanding and managing emotions effectively is crucial for building positive relationships, fostering employee engagement, and promoting teamwork.

- Empowerment and delegation: Managers must be skilled at empowering and delegating authority to employees, giving them autonomy and ownership over their work.

- Customer-centric mindset: Managers need to prioritize customer satisfaction, understand customer needs, and align the organization's efforts to deliver value to customers.

Overall, the upside-down pyramid places greater emphasis on employee empowerment, collaboration, and a customer-centric approach, requiring managers to possess the skills necessary to facilitate these aspects effectively.

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Congruent Figures and Transformations please answer asap ​

Answers

Answer

Transformations and if they are congruent

Reflection - congruent because the shape stays the same with same angle and side lengths, they only move or “flip” on the graph

Translation - congruent because the shape does not change it only moves about on the graph

Rotation - congruent because the shape stays the same as it rotates on the graph

Dilation - this is the only transformation that is NOT CONGRUENT because the shape and angle is “similar” but it is not the same because it is changed with a plus or minus dilation ratio.

What is the domain??

What is the domain??

Answers

Answer:

-1 ≤ x ≤ 6

Step-by-step explanation:

The answer would be -1 ≤ x ≤ 6 assuming the graph increases by increments of 1.

HELP FAST 100 POINTS - please show how you got it thank you

Which theorem/postulate can be used to prove ∆PQR ≅ ∆STU?
What is the perimeter of ∆PQR?

HELP FAST 100 POINTS - please show how you got it thank you Which theorem/postulate can be used to prove

Answers

side angle side (SAS) is the postulate because we can clearly see that two of the sides of the triangles are congruent (9 & 14), as well as the Q and T angle.

the perimeter is 43

6y+5=8y

y= 5/2

9+14+6(5/2)+5= 43

Answer:

Solution given:

In ∆ PQR and ∆ STQ

PQ=ST=9ft given

<Q=<T given

QR=TU = 14ft [given]

S.A.S axiom therom is used to prove

∆PQR ≅ ∆STU

Since ∆PQR ≅ ∆STU

their corresponding side is equal.so

6y+5=8y

5=8y-6y

2y=5

y=5/2

now

perimeter of ∆ PQR=sum of all sides

=9ft +14ft+ 6*5/2+5=43ft

let θ be an angle in quadrant iv such that =sinθ−47. find the exact values of secθ and tanθ.

Answers

Let us solve the problem step by step:

Firstly, we can use the following formula in order to solve the problem:

sinθ = -sqrt(1 - cos²θ) where sinθ = 7/47.

Substituting in the above equation we get:

7/47 = -sqrt(1 - cos²θ)

Squaring both the sides of the equation, we get:

cos²θ = 1 - (7/47)²

Therefore, cos²θ = 2208/2209

As the angle is in the fourth quadrant, cosθ will be negative.

Therefore, we take the negative root.

cosθ = -sqrt(2208/2209)

= -48/47

Now, using the formula for secθ we get:

secθ = 1/cosθ

= -47/48

Lastly, using the formula for tanθ we get:

tanθ = sinθ/cosθ

= (7/47)/(-48/47)

= -7/48

In this problem, we are required to find the exact values of secθ and tanθ for an angle θ in the fourth quadrant given that sinθ = 7/47.

We start solving the problem by using the formula:

sinθ = -sqrt(1 - cos²θ).

By substituting the value sinθ = 7/47 in this formula, we get:

7/47 = -sqrt(1 - cos²θ).

On squaring both sides of the equation we get:

cos²θ = 1 - (7/47)²

= 2208/2209.

Hence, the exact values of secθ and tanθ are -47/48 and -7/48 respectively.

Thus, the exact values of secθ and tanθ for the given angle θ in the fourth quadrant are -47/48 and -7/48 respectively.

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The equation f = v + at represent the final velocity of an object f with an initial velocity v and an acceleration rate a overtime t. which is an equivalent equation solved for t​

The equation f = v + at represent the final velocity of an object f with an initial velocity v and an

Answers

Answer:

t = f-v/a (First choice)

Explanation:

step by step:

1) f = v + at

2) f - v = v - v + at

3) f - v = at

4) f - v / a = at / a

5) f - v / a = t

6) t = f - v / a

Riley has 3 hours to play outside to play before diner. She spends 3/5 of that time playing outside how long does riley play outside

Answers

riley is gone to work 3/5 so step by step quicker

Answer:1.8 hours

Step-by-step explanation:

just devide and stuff

A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?

Answers

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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help please i need it

help please i need it

Answers

Answer: 116 degrees

Step-by-step explanation: add JKM and MKL together to get JKL

the answer is 116 degrees :)

Be is an angle bisector of abc. if abe = 2x 20 and ebc = 4x - 6 determine the value of x

Answers

Be is an angle bisector of abc. if abe = 2x 20 and ebc = 4x - 6, the value of x is 13.

An angle bisector is described as a ray, segment, or line that divides a given angle into angles of identical measures. The phrase bisector or bisection manner divides one aspect into two equal parts. In geometry, we typically divide a triangle and an attitude by using a line or ray that's considered a perspective bisector.

To determine the value of x, Given Be is the bisector of abc

And abe = 2x + 20 and ebc = 4x - 6

Since Be is an angel bisector therefore abc = ebc; 2x +20 = 4x - 6;

20 + 6 = 4x - 2x; 26 = 2x; x = 26 / 2; x = 13

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you are surveying students to find out their opinion of th equiality of food served in the school cafeteria. you decide to poll only those students who but hot lunch on a particular day. is your sample random? explain.

Answers

No, the sample in this case is not random.

The sample in this case is not random. Random sampling involves selecting individuals from a population in such a way that each individual has an equal chance of being selected. In the given scenario, the sample consists only of students who buy hot lunch on a particular day.

This sampling method is not random because it introduces a bias by including only a specific subgroup of students who have chosen to buy hot lunch. It does not provide an equal opportunity for all students in the population to be selected for the survey.

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In the figure shown, FG is tangent to circle D. HELP ASAP!!

In the figure shown, FG is tangent to circle D. HELP ASAP!!

Answers

Answer:

B

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B.

Xavier is buying a new pair of snowshoes. They are regularly $85, but they are on sale for $68. What percent is the markdown?

(PLEASE PUT HOW YOU GOT THE ANSWER ASWELL, I’LL MAKE YOU BRAINLEST!!)

Answers

Answer:

The percent of the markdown price is 20%.

Step-by-step explanation:

$85 x 20% = $17

you subtract $17 from $85 and get $68 !

U welcome :) have a great day !

The markdown percent is 20%.

What is percentage?

A relative value indicating hundredth parts of any quantity.

Given that, the original price of a pair of shoes is $85 but at sale it was $68,

Markdown percent = \(\frac{original price - current price}{original price} *100\)

= (85-68)/85*100

= 17/85*100

= 20%

Hence, The markdown percent is 20%.

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if the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution, what is the probability that the service time will be less than or equal to 6 minutes? a. 0.451 b. 0.549 c. 0.017 d. 0.632

Answers

If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]

The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:

F(x) = 1 - exp(-λx)

where,

λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:

F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549

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Graph of.... 3 3=0 Y axis Solve the equation oc²³²= 2xx - 3=0 graphically x-20-3=0 Let you² - 2c-3 when y=0 you can find oc OC -2-1 oc² 1 4 4 2244 O O O Scale x axis -3-3-3-3 1 2 345 T 4 9 16 25 -2 -4 -6 -8 -10 -3-3-3-3-3 5/01-310-3 10 15/12​

Answers

The solution to the equation does not exist

How to determine the solution to the equation

From the question, we have the following parameters that can be used in our computation:

2x - 3 = 0

2x - 3 = 3

Also from the question, we understand that the graph is given as

3 = 0

The above equation is false, and cannot be represented on a graph

This is so because 0 and 3 do not have the same value

Similarly, we have 2x - 3 = 0 and 2x - 3 = 3

By substitution, the equations becomes

0 = 3

Hence, the equation has no solution

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Complete question

Graph of 3=0

Solve the equation 2x - 3 = 0 and 2x - 3 = 3 graphically

(This exercise is from Physical Geology by Steven Earle and is used under a CC BY 4.0 license.) Heavy runoff can lead to flooding in streams and low-lying areas. The graph below shows the highest discharge per year between 1915 and 2014 on the Bow River at Calgary, Canada. Using this data set, we can calculate the recurrence interval (R) for any particular flood magnitude with the equation R=(n+1)/r, where n is the number of floods in the record being considered, and r is the rank of the particular flood. There are a few years missing in this record, and the actual number of data points is 95. The largest flood recorded on the Bow River over that period was in 2013, which attained a discharge of 1,840 m3/s on June 21. R; for that flood is (95+1)/1=96 years. The probability of such a flood in any future year is 1/R; which is 1%. The fifth largest flood was just a few years earlier in 2005 , at 791 m3/5. Ri for that flood is (95+1)/5=19.2 years. The recurrence probability is 5%. - Calculate the recurrence interval for the second largest flood (1.520 m3/s in 1932). Express your answer in units of years. - What is the probability that a flood of 1,520 m3/s will happen next year? - Examine the 100-year trend for floods on the Bow River. If you ignore the major floods (the labeled ones), what is the general trend of peak discharges over that time?

Answers

The recurrence interval for the second largest flood on the Bow River in 1932 is approximately 1.0106 years. The probability of a flood with a discharge of 1,520 m3/s occurring next year is roughly 98.95%. When examining the 100-year trend of peak discharges, excluding major floods, there is likely a general pattern of fluctuations but with overall stability in typical peak discharge values.

Using the provided data on the highest discharge per year on the Bow River at Calgary, Canada, we can calculate the recurrence interval (R) for specific flood magnitudes and determine the probability of such floods occurring in the future. Additionally, we can examine the 100-year trend for floods on the Bow River, excluding major floods, to identify the general trend of peak discharges over time.

1) Calculating the Recurrence Interval for the Second Largest Flood (1,520 m3/s in 1932):

To calculate the recurrence interval (R) for the second largest flood, we need to determine the rank of that flood. Since there are 95 data points in total, the rank of the second largest flood would be 94 (as the largest flood, in 2013, is excluded). Applying the formula R = (n + 1) / r, we have:

R = (95 + 1) / 94 = 1.0106 years

Therefore, the recurrence interval for the second largest flood (1,520 m3/s in 1932) is approximately 1.0106 years.

2) Probability of a Flood of 1,520 m3/s Occurring Next Year:

The probability of a flood of 1,520 m3/s happening next year can be calculated by taking the reciprocal of the recurrence interval for that flood. Using the previously calculated recurrence interval of 1.0106 years, we can determine the probability:

Probability = 1 / R = 1 / 1.0106 = 0.9895 or 98.95%

Thus, the probability of a flood of 1,520 m3/s occurring next year is approximately 98.95%.

3) Examination of the 100-Year Trend for Floods on the Bow River:

To analyze the 100-year trend for floods on the Bow River while excluding major floods, we focus on the peak discharges over time. Without considering the labeled major floods, we can observe the general trend of peak discharges.

Unfortunately, without specific data on the peak discharges for each year, we cannot provide a detailed analysis of the 100-year trend. However, by excluding major floods, it is likely that the general trend of peak discharges over time would show fluctuations and variations but with a relatively stable pattern. This implies that while individual flood events may vary, there might be an underlying consistency in terms of typical peak discharges over the 100-year period.

In summary, the recurrence interval for the second largest flood on the Bow River in 1932 is approximately 1.0106 years. The probability of a flood with a discharge of 1,520 m3/s occurring next year is roughly 98.95%. When examining the 100-year trend of peak discharges, excluding major floods, there is likely a general pattern of fluctuations but with overall stability in typical peak discharge values.

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What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
(-4,8)
(0,0)
. 10
10

What is the equation of the following line? Be sure to scroll down first to seeall answer options.10(-4,8)(0,0).

Answers

The answer is y= -2x.

The equation of the line passing through points (0, 0) and (-4, 8) is y = -2x

What is an equation of line?

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given is a graph of a line passing through points (0, 0) and (-4, 8), we need to find the equation of the line,

We know that, the equation of a line passing through two points is given by,

y-y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here, (x₁, y₁) and (x₂, y₂) are (0, 0) and (-4, 8)

So, the equation of the line =

y-0 = 8/(-4) (x-0)

y = -2x

Hence, the equation of the line passing through points (0, 0) and (-4, 8) is y = -2x

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let f(x)=x^2+3x and g(x)=2x-1 find each function value f(g(-2))

Answers

The composite result function of f( g(-2) ) in the given functions f( x ) = x² + 3x and g( x ) = 2x - 1 is 10.

What is the composite result function of f( g(-2) ) in the given function?

A function is simply a relationship that maps one input to one output..

Given the data in the question;

f( x ) = x² + 3xg( x ) = 2x - 1f( g(-2) ) = ?

First, set up the composite result function f( g(x) )

f( x ) = x² + 3x

f( g(x) ) = f( 2x - 1 ) = ( 2x - 1 )² + 3( 2x - 1 )

f( g(x) ) = ( 2x - 1 )² + 3( 2x - 1 )

Simplify

f( g(x) ) = ( 2x - 1 )( 2x - 1 ) + 3( 2x - 1  )

f( g(x) ) = 2x( 2x - 1 ) -1(2x - 1 ) + 3( 2x - 1 )

f( g(x) ) = ( 4x² - 2x  - 2x + 1 ) + 3( 2x - 1 )

f( g(x) ) = ( 4x² - 4x + 1 ) + 6x - 3

f( g(x) ) = 4x² - 4x + 1 - 6x - 3

f( g(x) ) = 4x² - 4x + 6x + 1 - 3

f( g(x) ) = 4x² + 2x - 2

Now,  replace all the occurrence of x with -2 in the function and simplify.

f( g(-2) ) = 4(-2)² + 2(-2) - 2

f( g(-2) ) = 4×4 - 4 - 2

f( g(-2) ) = 16 - 4 - 2

f( g(-2) ) = 10

The composite result function of f( g(-2) ) in the given functions is 10.

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7. the owner of the west end kwick fill gas station wishes to determine the proportion of customers who use a credit card or debit card to pay at the pump. he surveys 100 customers and finds that 80 paid at the pump. (a) calculate the sample proportion. what is the value of the population proportion? (b) develop a 95 percent confidence interval for the population proportion. (c) interpret your findings.

Answers

Therefore , the solution to this problem is confidence interval 95% is given by Z =1.96.

Confidence Interval: What is it?

In frequentist statistics, a confidence interval is the range of estimates for an unknown quantity. 95% is the most frequent confidence level used when calculating confidence intervals, however 90% and 99% are also occasionally used.

a)85 out of 100 paid at the pump using credit card

Thus,

p = proportion of customers who paid at the pump using credit card

  = 85/100

  = 0.850

Estimated Value of the population proportion = 0.850

b)

Given:

p' = 0.85           ....... Sample Proportion

n = 100           ....... Sample Size

For 95% Confidence interval

α = 0.05,      α/2 = 0.025

From z tables of Excel function

Z = \(\frac{p'-p}{\sqrt{p(1-p)/n} }\)

we find the z value

z = (0.025) = 1.96

We take the positive value of z

Therefore , the solution to this problem is confidence interval 95% is given by Z =1.96.

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John rode his dirt bike 45 miles in two hours. At this rate, how many miles will he travel in 1/2 an hour?​

John rode his dirt bike 45 miles in two hours. At this rate, how many miles will he travel in 1/2 an

Answers

Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.

Colin deposited $1,230 in an account that pays 3.19% simple interest for three years.a. What will the interest be for the three years?
b. What will be the new balance after three years?

Answers

\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1230\\ r=rate\to 3.19\%\to \frac{3.19}{100}\dotfill &0.0319\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1230[1+(0.0319)(3)] \implies \stackrel{balance}{\boxed{A \approx 1347.71}}~\hfill \underset{interest}{\stackrel{1347.71~~ - ~~1230}{\boxed{117.71}}}\)

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