Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, left parenthesis, n, right parenthesis be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive.

Answers

Answer 1

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Whenever she began to drive farther east, at 70 km per hour, Prachi was 5 km east of her home.

Let f(n) at the beginning of her nth hour drive be Prachi's distance to her home.

f is a sequence of arithmetic.

Write a series explicit form.

[tex]\to f(n) = 70n + 5[/tex]

Answer 2

Answer:

Arithmetic Sequence, f(n)=5+70(n-1)

Step-by-step explanation:

checked on khan


Related Questions

find the measure of the missing angles in the kite​

Answers

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

calculate the price with VAT of the following case.
MP=Rs.400000
profit=Rs.20000
Discount=10%
VAT=13%

Answers

Answer: $427140

Step-by-step explanation:

Firstly, we'll add MP to the profit and this will be:

= Rs 400000 + Rs 20000

= Rs 420000

Since there is a discount of 10%, this will then be:

= 420000 - (10% × 420000)

= 420000 - 42000

= $378000

With a VAT of 13%, then the final price will be:

= $378000 + (13% × $378000)

= $378000 + (0.13 × $378000)

= $378000 + $49140

= $427140

what is the answer? I need help!! please and thank you

Answers

Answer:

B

Step-by-step explanation:

27%=0.27 and sqrt(2)<2.75

1. In rhombus ABCD, the length of OC is 4.25 com. What is the length of OA?
A. 4.25 cm
B. 2.13 cm
C. 10.0 cm
D. 8.5cm

Answers

The length of OA is also 4.25 cm. This is because all sides of a rhombus are equal, which therefore tells us that all diagonals will be equal and that the segment is intersected perpendicularly, which tells us the line has been cut exactly in half, giving us 4.25 cm, or A, as our answer

Answer: OA = 4.25cm

Step-by-step explanation:

As the diagonals of Rhombus bisects and divides the diagonal into two equal parts OA = OC

OA = 4.25 cm

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Stuart needs to run by the store on his way to school. He begins at home, which on a coordinate plane is represented by the point (0,4). He walks to the store, which is the equivalent of walking 2 units right and 4 units down. After grabbing something to eat for lunch, he walks 3 units to the left and 5 units up to school. What point represents the school

Answers

-1,5 is the correct answer here. 0+2, 4-4 then 2-3 0+5.

The measure of an angle is 32.6º. What is the measure of its supplementary angle?

Answers

Answer:

147.4°

Step-by-step explanation:

Supplementary angles sum to 180° , then

supplementary angle = 180° - 32.6° = 147.4°

Supplementary angles are two angles whose measures add up to 180°. Because one angle is 32.6°, 180°-32.6°=147.4°

10,4,7
The above set 4 numbers have a mean of 8
what could the mystery number

Answers

Answer:

11

Step-by-step explanation:

To calculate the mean you add all the numbers and divide by the number of numbers. There are 4 numbers in this set so we will divide by 4.

Let x be the unknown number,

(10+4+7+x)/4=8(mean)

To solve for x, we first mutliply both sides by 4.

To simplify the left side we can add 10+4+7 and get 21 where now our equation is 21+x=32. Subtract 21 on both sides and you will get 11 which is our answer.

Plug-in 11 and solve for the mean to verify where we do indeed get 8 as the mean.

An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.

Answers

Answer:

[tex]\sqrt{100^2 + 420^2}[/tex]

[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]

Step-by-step explanation:

How to solve this question pls help asap

Answers

Answer:

answered by g a u t h m a t h

Step-by-step explanation:

Given that line a is parallel to line b and that line c isparallel to line d, if m<13 = (12x – 22)° and m<14 = (9x – 29)°, find m<2

Answers

Answer:

∠ 2 = 70°

Step-by-step explanation:

∠ 13 and ∠ 14 are adjacent angles and sum to 180° , then

12x - 22 + 9x - 29 = 180

21x - 51 = 180 ( add 51 to both sides )

21x = 231 ( divide both sides by 21 )

x = 11

Then

∠ 14 = 9x - 29 = 9(11) - 29 = 99 - 29 = 70°

∠ 7 = ∠ 14 = 70° ( Alternate angles )

∠ 2 = ∠ 7 = 70° ( Alternate angles )

Start from number 11 and keep adding 2 till you get to 201. how many times did you have to add 2 till you got to 201

Answers

Answer:

95 times

Step-by-step explanation:

201=11+(n)*2, 190=(n)*2, n=95

Triangle XYZ is isosceles. The measure of the vertex angle, Y, is twice the measure of a base angle. What is true about triangle XYZ? Select three options.

Answers

Answer:

A. Angle Y is a right angle.

B. The measure of angle Z is 45°.

E. The perpendicular bisector of creates two smaller isosceles triangles.

Step-by-step explanation:

Let x represent the measures of base angles X and Z. 2x is the measure of vertex angle Y.

x + x + 2x = 180°

x = 45°

2x = m∠Y = 90°

The triangle is an isosceles right triangle which has base angles of 45°.

The perpendicular bisector of line XZ creates two smaller isosceles triangles with acute angles of 45°

Answer:

The answers are A B E

Step-by-step explanation:

What is the answer when you evaluate m + p - p2 ÷ 6; use m = 5 and p = 6 ?

Answers

Answer:

5

Step-by-step explanation:

m + p - p^2 ÷ 6

Let m = 5 and p=6

5 + 6 - 6^2 ÷ 6

Exponents first

5 + 6 - 36 ÷ 6

Then divide

5 + 6 - 6

Then add and subtract from left to right

11-6

5

What is the measure of DG?
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

∠DHG is an inscribed angle. This angle, by definition, measures half the measure of its intercepted arc. The intercepted arc is arc DG, the one in question. This means that, by the rule, if the angle is 85 degrees, the arc is 2(85) = 170°

Answer:

it's actually  110, i took the test and got 170 wrong

Step-by-step explanation:

(06.01)

Write the following expression in exponential form:

1.6 × 1.6 × 1.6 × 1.6

41.6
1.64
1.6 × 4
1.6 + 4

Answers

Answer:

[tex]1.6^{4}[/tex]

Step-by-step explanation:

1.6 is multiplied by itself 4 times. This is represented in exponential form as

[tex]1.6^{4}[/tex]

PLEASE HELP!! Important test!! Option 1 isn't coming up so if you could try to solve others that would be great!

Answers

Answer:

4

Step-by-step explanation:

Func 2 is -2

Func 3 is 1

Func 4 is 8

Func 1 is unknown

The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?

Answers

Answer:

The base cost of the camera, exclusive of sales tax, is $160.

Step-by-step explanation:

Set up this equation and solve for x, which is the cost of the camera:

$3.20 = $0.02x [0.02 = 2%]

Solve the equation by dividing $3.20 by 0.02. The answer is $160.

Answer: $160 for the camera

Step-by-step explanation:

0.2x160=3.2

$160

Find the total surface area. rectangular prism 4 A. 700 m² B. 3,040 m² C. 135 m² D. 1,308 m²

Answers

Answer:

D

Step-by-step explanation:

The opposite faces of the prism are congruent , then

SA = areas of (top/bottom + front/ back + 2 sides )

     = 2(19 × 16) + 2(19 × 10) + 2(16 × 10)

     = 2(304) + 2(190) + 2(160)

     = 608 + 380 + 320

     = 1308 m² → D

The total Surface Area is 1308 m²

What is total Surface area?

The total area occupied by the surfaces of an object is called its surface area. In geometry, different 3D shapes have different surface areas which can be easily calculated using the formulas that we will be learning in this article. The surface area is classified into two categories:

Lateral surface area or Curved surface areaTotal surface area

The total surface area of a prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area = (2 × Base Area) + (Base perimeter × height).

SA = areas of (top/bottom + front/ back + 2 sides )

= 2(19 × 16) + 2(19 × 10) + 2(16 × 10)

= 2(304) + 2(190) + 2(160)

= 608 + 380 + 320

= 1308 m²

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the temperature of fridge compartment of a refrigerator is set at 8 °C . the fridge compartment is set at -10°C . what is difference between these temprature sittings​

Answers

Answer:

I don't understand the question, but I think its 18°

Step-by-step explanation:

The graph of a line is shown below. What is the equation of the line, in slope-intercept form, that is parallel to this line and has a y-intercept of 1?

Answers

Answer:

[tex]y = - \frac{3}{2} x + 1[/tex]

Step-by-step explanation:

Slope -intercept form: y= mx +c, where m is the slope and c is the y-intercept.

Parallel lines have the same slope. Let's find the slope of the given line.

Given points: (-2, 0) and (0, -3)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

slope of given line

[tex] = \frac{0 - ( - 3)}{ - 2 - 0} [/tex]

[tex] = \frac{0 + 3}{ - 2} [/tex]

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

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

Given that the y- intercept is 1, c= 1.

[tex]y = - \frac{3}{2} x + 1[/tex]

Challenge: For a particular job, the Amax Employment Agency charges a fee that is equal to 15% of the first
month's pay. If the job pays X dollars annually, express the agency fee algebraically.

Answers

Answer:

0.0125x or x/80

Step-by-step explanation:

Salary: x dollars per year

To find the pay per month, we divide the annual pay by 12.

The monthly pay is x/12

15% of the first month's salary is

15% of x/12 = 0.15 * x/12 = 0.0125x = x/80

Answer: 0.0125x

Please answer correctly and you will receive a crown and brainliest.

Answers

Answer:

See explanation

Step-by-step explanation:

Chevy Malibu hybrid = 6.8

Ford mustang = 9.6

Nissan Pathfinder = 10.8

Toyota Corolla = 6.3

1. Chevy Malibu hybrid to Toyota Corolla = 6.8 to 6.3

= 6.8 : 6.3

= 6.8 / 6.3

2. Nissan Pathfinder to Ford mustang = 10.8 to 9.6

= 10.8 : 9.6

= 10.8 / 9.6

= 2.7 / 2.4

3. Toyota Corolla to Nissan Pathfinder = 6.3 to 10.8

= 6.3 : 10.8

= 6.3 / 10.8

4. Ford mustang to Chevy Malibu hybrid = 9.6 to 6.8

= 9.6 : 6.8

= 9.6 / 6.8

= 2.4 / 1.7

I neeeddddd helppppp!!!! It’s urgentttttt

Answers

Answer:

R theta 1 = 20 x

R theta 2 = 11 x  - 6

R ( theta 1 + theta 2) = 31 x - 6     adding equations

R pi = 31 x - 6       since theta 1 + theta 2 = 180 deg

x = (R pi + 6)  / 31

This equation depends only R

If one lets R be one then   x = (pi + 6) / 31

This would give x = .29489 rad for the value of pi is deg

The numerical value of x appears to depend on the value of R

What is the image of (-3,6) when reflected in the x-axis?
A. (6,-3)
B. (-3, -6)
C. (3,-6)
D. (3, 6)

Answers

The new coordinates are ( -3 , -6) , Option B is the answer.

What is meaning of Reflection ?

Reflection means to create a mirror image of an object along any axis .

The shape and size of the object remains constant while reflection.

An object of coordinate ( -3 ,6) is given

This is reflected in the x axis .

When an object is reflected along any axis , the coordinate of that axis remains the same while the coordinate of the other changes to its additive inverse .

object  ( -3 ,6) is reflected along x axis ,

( x, y) ----> ( x , -y)

The new coordinates are ( -3 , -6)

Therefore Option B is the answer.

To know more about Reflection

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Someone explain what this means ?

Answers

Answer:

20 P 9 means selecting 9 objects (order matters) out of 20 objects.

So in this case, the eight choice of a line up of 9 has 13 options.

For example, think about it this way. The first choice has 20 options, 2nd has 19, and so on...

So the answer is 13

Let me know if this helps!

solve the equation:
|x+3| >2x-1

Answers

Answer:

x < 4

Step-by-step explanation:

|x+3| >2x-1 [|a| is the absolute value of a]

x+3 > 2x-1

4 > x

Therefore,

x < 4

The negative case doesn't have equal RHS and LHS so, it isn't valid.

In the opposite figuret triangle OAB has an area of 72 cm2 and. Triangle ODC has an area of 288 Cm2 Then XandY equal​

Answers

area of OAB = 72 = (1/2) sin (AOB) * OA * OB solve the above for sin(AOB) to find sin(AOB) = 1/2 area of ODC = 288 = (1/2) sin (DOC) * OD * OD Note that sin(DOC) = sin(AOB) = 1/2, OD = 18 + y and OC = 16 + x and substitute in the above to obtain the first equation in x and y 1152 = (18 + y)(16 + x)...

HOPE SO IT HELPS YOU

Marking brainliest

If a job interview says “tell me about yourself” what do u say

Answers

Answer:

I start to say from my name,age,family,qualifications and etc.

Answer:

In your response, do the following:

1. Mention past experiences and proven successes as they relate to the position.

Begin by rereading the job description. Take note of the required skills that you have, and identify recent stories that demonstrate them . Ideally, you should draw primarily from recent professional experience; however, volunteer work can also support your narrative while demonstrating a commitment to your community.

2. Consider how your current job relates to the job you’re applying for.

Is it a more senior role? If so, explain how you are taking on more responsibilities in your current position. If you are making a lateral transition to a role with different skills, describe how your current skills translate into the new position.

3. Focus on strengths and abilities that you can support with examples.

When you start building the script of each example, focus on details and outcomes that you can quantify if possible. For example, stating that you “improved customer service” is less impactful than “increased customer service response rates each quarter by 10–15%.” If you don’t have the exact information, estimate a realistic value.

4. Highlight your personality to break the ice.

Since the “Tell me about yourself” interview question is about getting to know you, it’s a good idea to share your personality with your interviewer—but not personal details. You may want to briefly mention hobbies that demonstrate intellectual development and/or community engagement (e.g., reading, music, sports league, volunteering) or those that showcase personal discipline and achievement (e.g., learning a new skill, training for a half marathon). Discussing personal interests is a good way to wrap up your response while maintaining a professional tone.

5. Format your response.

For your response to be clear and concise, you’ll want to make sure you organize your answer following a format or formula. There are two common formulas you may consider:

Present, Past, FuturePast, Present, Future

Both of these formulas work for your response, but you may choose one over the other based on the roles from your experience that are most relevant to the position you're interviewing for. For example, if your most recent role highlights many of the skills and qualifications that are required for the role you’re interviewing with, you may want to lead with the present. However, if you're making a career transition and your past experience is more closely related to the role than your current position, you may want to lead with your past.

HELP PLEASE THIS IS TIMED! Write an equation of the line that passes through a pair of points:

(negative 3, negative 1), (2, 2)

a.

y = 3/5x – 5/4

c.

y = 3/5x – 4/5

b.

y = 3/5x + 4/5

d.

y = -3/5x+4/5


Please select the best answer from the choices provided



A

B

C

D

Answers

Step-by-step explanation:

solution

Coordinate (-3,-1)(2,2)

x¹=-3 x²=2, y¹=-1 y²=2

M=(y²-y¹)/(x²-x¹)

M=(2+1)/(2+3) => 3/5

Equation of line

M=(y-y¹)/(x-x¹)

3/5 = (y+1)/(x+3)

cross multiply

3(x+3)=5(y+1)

3x+9=5y+5

5y-3x=4

5y=4+3x

y=4/5 + 3x/5

(C)

15. What is the length of segment FG

Answers

Answer:

10.49

Step-by-step explanation:

FG= squareroot(10)(11) =10.49 took quiz too

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