For what value of p are 2p + 1, 13, 5p – 3, three consecutive terms of AP?​

Answers

Answer 1

Answer:

4

Step-by-step explanation:

The arithmetic progression terms, are

(2p+1), 13, (5p-3).

First find the distance between 2p+1 and 13.

[tex]13 -( 2p + 1 )= - 2p + 12[/tex]

Then find distance between 13, and 5p-3

[tex]5p - 3 - ( 13) = 5p - 16[/tex]

Terms in a AP progression should have same distances as each other.

[tex]5p - 16 = - 2p + 12[/tex]

[tex]7p = 28[/tex]

[tex]p = 4[/tex]

Answer 2

Answer:

Given 2p+1, 13 , 5p-3 are in AP. P is 4.


Related Questions

Claudia can text 3 times as fast as Fiona. Claudia can text 78 words per minute. How many words per minute can Fiona text?

Answers

Answer:

Fiona can type 26 words per minute.

Step-by-step explanation:

Just divide 78÷3 (78 words divided by the x3), which gives you 26.

Hope it helps!

The ratio of plain bagels to garlic bagels is 2:3. The ratio of poppy seed bagels to plain bagels is 5:2. What is the ratio of garlic bagels to poppy seed bagels?

Answers

You would use the method butterfly method so cross divide

What is the domain and limit(s) of f(x)=1/x+3?

Answers

find the domain by finding where the function is defined. The range is the set of values that’s correspond with the domain

What is the equation of the line that passes through the point (4,6) and has a
slope of 0

Answers

Solution:

We know that:

(x,y) = (4,6) ⇒ x = 4, y = 6Slope = 0

Since we know the coordinates and the slope of the line, we can use point slope form to find the equation.

y - y₁ = m(x - x₁)⇒ y - 6 = 0(x - 4)⇒ y - 6 = 0⇒ y = 0 + 6⇒ y = 6

Thus, the equation of the line is y = 6.

Answer/Step-by-step explanation:

Given us that;

Passes through the point (4,6)

slope of 0

Note;

The equation of a line has the form:

y - y₁ = m(x - x₁)

Solve;

Now we plug in the coordinates of the given point the line goes through, and solve:

y - 6 = 0(x - 4)

y - 6 = 0

y = 0 + 6

y = 6    

Hence,  equation of the line is y = 6

[RevyBreeze]

Slope- intercept form: y= -4/3x + 2

what is the standard form?

Answers

Answer:

4x+3y=6

Step-by-step explanation:

hope this helps

The graph below describes the journey of a train between two cities.

a) Work out the
acceleration, in km/h?,
in the first 15 mins.

b) Work out the distance
between the two cities. $60
Velocity (in km/h)

c) Work out the average
speed of the train during 20
the journey.

Answers

Answer:

[A] Acceleration in first 15 min = 200  km/h²

[B] Distance between two cities = 125 km

[C] Average Speed of journey =  62.5  km/hr

Step-by-step explanation:

To Solve:

Acceleration in first 15 min

Distance between two cities  

Average speed of journey

Solve:

[A] Work out the acceleration, in km/h?, in the first 15 mins.

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                     Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Hence, Answer for [A] = 200  km/h²

[B] Work out the distance between the two cities. $60 Velocity (in km/h)

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

[C] Work out the average speed of the train during 20 the journey.

Average Speed of journey = 125/2  = 62.5  km/hr

[RevyBreeze]

If I drove 15 1/2 miles in 2/5 hours, what is my average speed in miles per hour?

Answers

Answer:

(15 1/2 ) divided by 2/5= 38 3/4 miles per hour

Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of january. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will abby’s january finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25

Answers

Abby's January finance charge is $7.22, the correct option is C.

What is the adjusted balance method?

Adjusted balance method: Based on finance charges on the amount(s) owed at the end of the current billing cycle after posted credits and payments.

The total amount on which interest will be applied using the adjusted balance method is;

[tex]=722.10 + 18.12-65.00 +18.00 + 44.79+ 34.25 - 40.00\\\\= 732.26[/tex]

Abby’s January finance charge will be;

[tex]= 732.26 \times 11.83 \times \dfrac{30}{360}\times \dfrac{1}{100}\\\\= 7.22[/tex]

Hence, Abby's January finance charge is $7.22.

To get more about the adjusted balance method please refer to the link,

brainly.com/question/14351468

Abby has a credit card which uses the adjusted balance method to compute finance charges. her card has an apr of 11.83%, and she is on a 30-day billing cycle. the table below shows her transactions in the month of January. date amount ($) transaction 1/1 722.10 beginning balance 1/6 18.12 purchase 1/7 65.00 payment 1/14 18.00 purchase 1/20 44.79 purchase 1/23 34.25 purchase 1/27 40.00 payment what will Abby’s January finance charge be? a. $6.08 b. $7.12 c. $7.22 d. $8.25

The answer is C.

whats 506 divided by 6

Answers

Answer:

84.33333333

or rounded...

84.3

or 84 if asked to be rounded to whole

506/6 = 84.333333333333 so on and so on

A quadratic function y=f(x) is plotted on a graph and the vertex of the resulting parabola is (-6, 4). What is the vertex of the function defined as g(x)=f(x-2)-2

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{\stackrel{h}{-6}~~,~~\stackrel{k}{4}}\qquad \implies f(x)=a[x-(-6)]^2+4\implies \underline{f(x)=a(x+6)^2+4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]f(x-2)=a[(x-2)+6]^2+4\implies \underline{f(x-2)=a(x+4)^2+4} \\\\\\ f(x-2)-2\implies [a(x+4)^2+4]-2\implies \underline{a(x+4)^2+2=g(x)} \\\\\\ a[x-(\stackrel{h}{-4})]^2\stackrel{k}{+2}=g(x)\qquad \stackrel{vertex}{-4~~,~~2}[/tex]

What is the direction of b?

A. north B. south C. east D. west

Answers

Answer:

A. North

Step-by-step explanation:

Jesselyn made 6 muffins. She used 3/8 teaspoon of baking powder for each muffin. How much baking powder did Jesselyn use for all of the muffins?



A.18/48

B.9/8

C.18/8

D.48/3

Answers

Answer:

C

Step-by-step explanation:

Multiply the number of muffins by how much baking powder is in each muffin. That's read as 6/1 × 3/8 which equals 18/8.

If I have 18 employees and I want to give each employee half a cupcake how many cupcakes do I need

Answers

9 cupcakes . 18x0.5 is 9.

In addition to writing new facts for February 29, the twins also need to add another image in the middle of their flip-book animation. The animation sequence is of Dorothy's house from the Wizard of Oz as it is being carried over the rainbow by a tornado. The house in the February 28 drawing has been rotated to create the house in the March 1 drawing. Carlos believes that he can get from the February 28 drawing to the March 1 drawing by reflecting the February 28 drawing, and then reflecting it again.

A. What convinces you that the February 29 image is a reflection of the February 28 image about the given line of reflection?

B. What convinces you that the March 1 image is a reflection of the February 29 image about the given line of reflection?

C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?

Answers

Answer:

Its C. What convinces you that the two reflections together complete a rotation between the February 28 and March 1 images?

Step-by-step explanation:

In addition to writing new facts for February 29,  you gotta do what you learned and add the houses

Sara made a withdrawal of $80. Tom deposited $47.50.
Which transaction involved more money?

Answers

Answer: Sara's transaction involved more money.

Step-by-step explanation: 47 is less than 80 and since its in dollars, Sara's $80 would be the answer.

A cylinder has a radius of 17 millimeters. Its volume is 13,611.9 cubic millimeters. What is
the height of the cylinder?
Use 3.14 and round your answer to the nearest hundredth
millimeters

Answers

Answer:H=15.00mm

Step-by-step explanation:

Dilate the figure with the origin as the center of dilation.

(x,y) → (1.5x, 1.5y)​

Answers

Step-by-step explanation:

try this option; for more info see the attachment. New figure is painted with red colour (triangle A'B'C').

Evaluate the expression for f=-10 9f+39

Answers

Answer:

The answer is 129.

Step-by-step explanation:

If f = 10, we would have to multiply 9 x 10, which is 90.

Add that to 39, and you will get 129.

Hope you can understand this

Answer:

-51

Step-by-step explanation:

For each fraction, decimal, or percent, write the equivalent number from the list below. 0.68, 19/50, 9/20, 80%, 0.54. A. 38% _____ B. 4/5 ______ C. 17/25_______. D. 27/50_______. E. 0.45_______

Answers

Answer:

A. 38% -  19/50
B. 4/5 - 80%
C. 17/25 - 0.68
D. 27/50 - 0.54
E. 0.45 - 45% or 9/20

Step-by-step explanation:

A. 19/50 - 38/100 - 38%
B. 4/5 - (times by 20 (the numerators and denominators)) - 80/100 - 80%
C. 17/25 - (times by 4 (the numerators and denominators)) - 0.68

D. 27/50 - 54/100 - 0.54
E. 0.45 - 45/100 - 9/20 - 45%

Find the missing side (X) round to the nearest hundredth

Answers

Answer:

[tex]\displaystyle 18,28 ≈ x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{11} = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]

OR

[tex]\displaystyle \frac{11}{x} = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow \frac{11}{sin\:37} = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

help.. Each patron pays an annual fee of $36 to the library. If the library collects $20,304 from the annual fee, how many patrons are there?

Answers

564, 20,304 divided by 36=564

Answer: 564 patrons. also omg chiaki pfp so based

expand (5/8x+y^5)(y^5-5/8 x)
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST

Answers

Answer:

[tex]y^{10}-\dfrac{25}{64}x^2[/tex]

Step-by-step explanation:

Given expression:

[tex](\frac58x+y^5)(y^5-\frac58 x)[/tex]

Change the order of the terms in the first parentheses:

[tex]\implies (y^5+\frac58x)(y^5-\frac58 x)[/tex]

Apply the Difference of Two Squares: [tex](a+b)(a-b)=a^2-b^2[/tex]

[tex]\implies (y^5)^2-(\frac58x)^2[/tex]

Apply exponent rule [tex](a^b)^c=a^{b\cdot c}[/tex]

[tex]\implies y^{10}-(\frac58x)^2[/tex]

Apply exponent rule [tex]\left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}[/tex]

[tex]\implies y^{10}-\left(\dfrac{5^2}{8^2}x^2\right)[/tex]

[tex]\implies y^{10}-\dfrac{25}{64}x^2[/tex]

one fifth of the sum of 10 and a number q

Answers

Answer:

(10 + q) ÷ 5

Explanation:

the sum of  10 and a number q is 10 + q

one fifth is dividing by 5

so (10+q) ÷ 5

can someone help me with these

Answers

Answer:

a=(x+7)(x+-2)

Step-by-step explanation:

(x+a)(x+b)=x²+(a+b)x+(ab)

Answer:

  a) (x +7)(x -2)

  b) x = -7 or +2

Step-by-step explanation:

a)

A trinomial is factored by realizing that the constant term (-14) is the product of the binomial constants, and the coefficient of the linear term (5) is their sum. Here, we can examine the factorization of -14 to see which factors may have a sum of 5:

  -14 = (-1)(14) = (-2)(7) = (-7)(2) = (-14)(1)

Sums of these factor pairs are 13, 5, -5, -13. Clearly, we could stop writing factorizations when the sum stops being positive. The values of interest are -7 and 2. They tell us the trinomial is factored as ...

  x² +5x -14 = (x +7)(x -2)

__

b)

The zeros of the quadratic are the values of x that make the above factors be zero. The zero product rule tells you the only way the product will be zero is for a factor to be zero.

  x +7 = 0   ⇒   x = -7

  x -2 = 0   ⇒   x = 2

The solutions are x = -7 or x = 2.

The sum of the measures of angle A and angle B is 90°
• The measure of angle A is (4x + 30)
The measure of angle B is (40)
What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

Given:

The sum of the measures of angle A and angle B is 90° The measure of angle A is (4x + 30)The measure of angle B is (40)

To Find:

What is the value of x?

Note:

Two angles that add up to give you 90° is a complementary angle.

Thus, Since angle A and angle B sum up to give 90°, they are complementary angles.

Solve:

The following equation can be created to solve for the value of x:

m ∠A + m∠ B

Substitute

40 + 4x + 30 = 90

Add like terms

4x +70 = 90

Subtract 70 from both sides

4x = 90-70

4x = 20

Divide both sides by 4

x = 5

Therefore, the value of x is 5

~Learn with Lenvy~

a garden patio is covered with grey and yellow slabs

Answers

Answer:

ok........

Step-by-step explanation:

Megan added two numbers and the resulting sum was the new rational number. If the first number was 2/3, which of the following could be the second number? Select two that apply

Answers

Answer:

I have no idea and I'm not that smart

pls help I just want to enjoy spring break plsssss​

Answers

Answer:

homedogxD: 74 + x + 62 + 55 = 180. So x = -11

Step-by-step explanation:

This is from homedogxD but no one put it as an answer so..................

Question is in the picture:

Answers

Answer:

the answer is 224 that's my answer

Answer:

48

Step-by-step explanation:

es el porcentaje de 200 en la calculadora seria 24 x 200/100

If you want to sell your cupcakes for $2 per dozen, you can make a profit of $160. If raise the cupcake price by
$1, you can make a profit of $216. If you raise the cupcake price by $2 (which makes them S4 per dozen) you can
make $256 profit. What is the maximum profit you can make? What should you charge for your cupcakes?

Answers

The maximum profit is $288, and you should charge $6 per dozen.

How to get the relation between demand and prize?

Let's assume that demand depends linearly on price, such that we can write:

q = a*p + b

where q is the demand and p is the price.

We have 3 points of that line:

When you sell at $2 per dozen, you win $160, so you sold 80 dozens.When you sell at $3 per dozen, you win $216, so you sold 72 dozens.When you sell at $4 per dozen, you win $256, so you sold 64 dozens.

The slope of the line is given by:

[tex]a = \frac{q_2 - q_1}{p_2 - p_1}[/tex]

Where these are values of demand and prize for two different points, if we use the first two points we get:

[tex]a = \frac{72 - 80}{3 - 2} = -8[/tex]

Then the line is something like:

q = -8*p + b

Remember that when p = 2, the demand is equal to 80, replacing that we get:

80 = -8*2 + b

80 + 16 = b = 96.

So the line is:

q = -8*p + b

How to maximize the profit?

Profit is given by the product between the demand and the price, so we have.

Profit = p*q = p*(-8*p + 96) = -8p^2 + 96p

We want to maximize that, notice that is a quadratic equation of negative leading coefficient, so the maximum is at the vertex, using the equation for the vertex of a quadratic equation we will see that the maximum is at:

p = -96/(2*-8) = 6

Then the maximum profit is:

profit = -8*(6)^2 + 96*6 = 288

The maximum profit is $288, and you should charge $6 per dozen.

If you want to learn more about linear relations, you can read:

https://brainly.com/question/1884491

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