Eight times the first of three consecutive odd integers is 4 less than thrice the sum of second and third. The second integer is

Answers

Answer 1

Answer:

9

Step-by-step explanation:

first integer = x

second integer = x+2

third integer = x+4

8x=3(x+2+x+4)-4

8x=3(2x+6)-4

8x=6x+18-4

8x=6x+14

2x=14

x=7

second integer=7+2=9


Related Questions

Which of the following is the midpoint of a line segment with endpoints -4 and 7? Options are -3 0 1.5 5.5 thanks <3

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Explanation:

-4  -3  0  1.5  5.5  7

this is because the median is 1.5 and if you cross out every number from each number u'll find urself with 1.5.

ex:

-4 -3 -2 -1 0 1 2 3 4 5 6 7

-3 -2 -1 0 1 2 3 4 5 6

-2 -1 0 1 2 3 4 5

-1 0 1 2 3 4

0 1 2 3

1 2

and in between 1 and 2 is 1.5 so 1.5 is ur answer

i hope this helped <3

QUESTION 1 1 POINT
Factor: 27m3
64.
Provide your answer below:
Content attribution

Answers

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2} + 12m + 16)}}}}[/tex]

Step-by-step explanation:

[tex] \sf{27 {m}^{3} - 64}[/tex]

[tex] \dashrightarrow{ \sf{( {3m)}^{3} - {(4)}^{3} }}[/tex]

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

[tex] \longrightarrow{ \sf{(3m - 4)(3 {m}^{2} + 3m \times 4 + {4}^{2} }})[/tex]

[tex] \longrightarrow{ \sf{(3m - 4)( {9m}^{2} + 12m + 16}})[/tex]

Hope I helped!

Best regards! :D

The perimeter of the polygon above is

Answers

Answer:

30cm

Step-by-step explanation:

5+5+12+8

find the l.c.m of 2,4,6 and 8​

Answers

Answer:

24.

Step-by-step explanation:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

4 , 8 , 12, 16, 20, 24

6, 12, 18, 24

8, 16, 24

Looking at the multiples of these numbers, we choose the multiple they all have in common. I usually do this for the two biggest numbers, (8 and 6;) and check my work with the others. If you would like more examples from me or need extra help, feel free to ask! I am on Brainly replying to questions and comments from 1 pm - 2 pm EST. Hope this helped!

Find the distance between M and N. The locations of M and N are -10 and -20

Answers

Answer:

10

Step-by-step explanation:

Subtract the two distances

-10 - -20

-10 +20

10

The distance is 10

Jennifer is a runner and ran a 10k last weekend. The function t=7k represents the relationship between kilometers, k, and the total running time, t. What is a reasonable range for this situation?

Answers

Answer:

We know that Jennifer ran 10k last weekend.

Now, we have the function:

t = f(k) = 7*k

(notice that this is a linear function)

First, let's define what is the range.

The range is the possible values that the outcome, t, can take.

To see the range, we first must see the domain (the possible values of of the input)

In this case, we know that the minimum value of k is 0 (the time to run 0 kilometers)

t(0) = 7*0 = 0

Here we found the minimum of the range.

Now, the maximum value in the domain is 10 (because she ran 10km, we can not have a value of k larger than 10)

The time is:

t(10) = 7*10 = 70

This will be the maximum of the range.

Then the range can be written as:

R = [0, 70]

Your company offers warranty coverage for MP3 players. The policy provides for the replacement of MP3 players that fail within 3 years of purchase of the MP3 player. The lifetime of a particular model of player is subject to a constant force of mortality, and the expected lifetime is 5 years. On January 1, coverage is purchased for 1000 MP3 players. Calculate the expected number of MP3 players replaced in the first year. (Ans 181.

Answers

Answer:

181 MP3 players

Step-by-step explanation:

Given data:

Replacement of MP3 that fail within 3 years

expected lifetime of MP3 = 5 years

number of MP3 players purchased = 1000

number of MP3 players replaced in the first year = ?

To determine the number of MP3 replaced in the first year we will employ this formula:

[tex]E(To) = \frac{1}{u} = e_{x} ^{0} =\int\limits^a_0 {po} \, dt[/tex]

a = ∞

since the given problem is an exponential distribution

1/u = 5 hence u = 0.2

next we will determine the number of MP3's to fail in its first year of purchase

qo = failure

po = success

number of purchase = 1000

attached below is the remaining part of the solution

The system shown below is
.
x + 3y = 4
3x + 9y = 12

Answers

Answer:

Consistent and Dependent

Step-by-step explanation:

Just did the question

y = 1/9 * x - 8 what is the slope ?

Answers

Answer:

1/9

Step-by-step explanation:

the slope is m in y=mx+b

hope this helps!

-1+(-8) is how many units away from 4 on the number line

Answers

Answer:

13 units

Step-by-step explanation:

-1 + (-8) = -9

|-9| = 9 + 4 = 13

(-9) is 13 units from 4

Hopefully this helps you :)

pls mark brainlest ;)

Simplify the expression: 4(–6p − 2)

Answers

Answer:

-24p -8

Step-by-step explanation:

4(–6p − 2)

Distribute

4 * -6p -4*2

-24p -8

-24p-8
Hope this helps... picture below

Is this answer correct?

Answers

that’s the correct answer

Answer:

YES

Step-by-step explanation:

PLEASE MARK AS BRAINLIST ANSWER


Find the average of all scores
there are:
ten scores of 9
eight scores of 8
ten scores of 7
three scores of 6
Round to one decimal place

Answers

Answer:

9880

Step-by-step explanation:

because u have to use the last number and round it up to the closes while number then add ur Decimal

5. Francisco enjoys scuba diving. He descends 7 feet below sea level. He descends the same
distance 5 more times. What is Francisco's final elevation? Explain using 2-3 sentences how you
got to your answer.

Answers

Answer:

35

Step-by-step explanation:

I got my answer by multiplying the sea level he descended to the number of time he descended.

In a large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 75% as large as the proportion of accountants with no MBA degree and less than five years of professional experience. Furthermore, 35% of the accountants in this firm have MBA degrees, and 45% have fewer than five years of professional experience. If one of the firm's accountants is selected at random, what is the probability that this accountant has an MBA degree or at least five years of professional experience, but not both

Answers

Answer:

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3

Step-by-step explanation:

From the given study,

Let A be the event that the accountant has an MBA degree

Let B be the event that the accountant has at least 5 years of professional experience.

P(A) = 0.35

[tex]P(A)^C[/tex] = 1 - P(A)

[tex]P(A)^C[/tex] = 1 - 0.35

[tex]P(A)^C[/tex] = 0.65

[tex]P(B)^C[/tex] = 0.45

P(B) = 1 - [tex]P(B)^C[/tex]

P(B) = 1 - 0.45

P(B) = 0.55

P(A ∩ B ) = 0.75 [tex]P(A^C \ \cap \ B^C)[/tex]

P(A ∩ B ) = 0.75 [ 1 - P(A ∪ B) ]  because  [tex]P(A^C \ \cap \ B^C)[/tex]  = [tex]P(A \cup B)^C[/tex]

SO;

P(A ∩ B ) = 0.75 [ 1 - P(A) - P(B) + P(A ∩ B) ]

P(A ∩ B ) = 0.75 [ 1 - 0.35 - 0.55 + P(A ∩ B) ]

P(A ∩ B ) - 0.75  P(A ∩ B) = 0.75 [1 - 0.35 -0.55 ]

0.25  P(A ∩ B) = 0.075

P(A ∩ B) = [tex]\dfrac{0.075}{0.25}[/tex]

P(A ∩ B) = 0.3

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is: P(A ∪ B ) - P(A ∩ B)

= P(A) + P(B) - 2P( A ∩ B)

= (0.35 + 0.55) - 2(0.3)

= 0.9 - 0.6

= 0.3

The probability that this accountant has an MBA degree or at least five years of professional experience, but not both is 0.3

Which expression represents the prime factorization of 484?​

Answers

Answer: 2*2*11*11

Step-by-step explanation:

484 = 2 times 242 = 2 times 2 times 121 = 2 times 2 times 11 times 11.

"*" = mean multiply/times.

2*2*11*11

2*2*11*11

HOPE THIS HELPED!

Which symbol correctly compares the two fractions?

Use >, <, or =.

Enter your answer in the box.

5/12
3/6

Answers

Answer:

5/12<3/6

Step-by-step explanation:

3/6 is 1/2 and 5/12 is smaller than 1/2

Answer:

5/12 < 3/6

Step-by-step explanation:

3/6 is equivalent to 6/12 because 3 times 2 is 6 and 6 times two is 12. 6 (the new numerator of 3/6) is greater than the numerator of 5/12- 5. 5<6. They have the same denominator so 5/12< 6/12 which is the same as 5/12 < 3/6. Hope that helped!

The deck of a bridge is suspended 275 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by y = 275 - 16t^2.

(a) Find the average velocity of the pebble for the time period beginning when t − 4 and lasting (i) 0.1 seconds (ii) 0.05 seconds (iii) 0.01 seconds (b) Estimate the instantaneous velocity of the pebble after 4 seconds.

Answers

Answer:

Our equation for the height is:

y(t) = 275 - 16*t^2.

a) To find the average velocity between two times, t1 and t2, (where t2 > t1) the equation is:

[tex]AV = \frac{y(t2) - y(t1)}{t2 - t1}[/tex]

Then:

i) t1 = 4s, t2 = 4s + 0.1s = 4.1s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.1^2) - (275 - 16*4^2)}{4.1 - 4} = \frac{16(4^2 - 4.1^2)}{0.1} = -129.6[/tex]

And the units will be ft/s, so the average speed is:

-129.6 ft/s

The minus sign is because te pebble is falling down.

ii)  t1 = 4s, t2 = 4s + 0.05s = 4.05s

The average velocity is:

[tex]AV = \frac{(275 - 16*4.05^2) - (275 - 16*4^2)}{4.05 - 4} = \frac{16(4^2 - 4.05^2)}{0.05} = -128.8[/tex]

So the average speed is -128.9 ft/s

iii)  t1 = 4s, t2 = 4s + 0.01s = 4.01s

The average speed is:

[tex]AV = \frac{(275 - 16*4.01^2) - (275 - 16*4^2)}{4.01 - 4} = \frac{16(4^2 - 4.01^2)}{0.01} = -128.16[/tex]

The average speed is -128.16 ft/s.

b) The instantaneous velocity of the pebble after 4 seconds can be obtained by looking at the velocity equation, that is the derivative of the height equation.

v(t) = dy(t)/dt.

v(t) = -2*16*t + 0

Then the velocity at t = 4s is:

v(4s) = -32*4 = -128

The instantaneous velocity at t = 4s is -128 ft/s.

a). The average velocity of the pebble for the time period would be:

i). [tex]-129.6[/tex]

ii). [tex]-128.8[/tex]

iii). [tex]-128.16[/tex]

b). The instantaneous velocity of the pebble post 4 seconds would be:

[tex]-128[/tex]

a). We need to find the average velocity,

i). [tex]t1 = 4s, t2 = 4s + 0.1s = 4.1s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

by putting the values,

[tex]= y(4.1) - y(4) / 4.1 - 4[/tex]

[tex]= 275 - 16(4.1)^2 - 275 - 16(4)^2 / 0.1[/tex]

[tex]= 275 - 16*16.81 - 275 - 16(16) / 0.1[/tex]

[tex]= 6.04 - 19 / 0.1[/tex]

[tex]= -12.96 /0.1[/tex]

[tex]= -129.6[/tex]

ii).  Now,

[tex]t_{2} = (4 + 0.05 = 4.05s)[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.05) - y(4) / 4.05 - 4[/tex]

 [tex]= -6.4 / 0.05[/tex]

[tex]= -128.8[/tex]

iii). Now,

[tex]t_{2} = 4.01s[/tex]

Using [tex]y(t_{2}) - (t_{1})/(t_{2}) - (t_{1})[/tex]

[tex]= y(4.01) - y(4) / 4.01 - 4[/tex]

 [tex]= -1.28 / 0.01[/tex]

[tex]= -128.16[/tex]

b). Instantaneous velocity

[tex]y = 275 - 16t^2[/tex]

[tex]dy/dx = -32t[/tex]

Considering [tex]t = 4[/tex]

Instantaneous velocity post 4 seconds [tex]= -32(4)[/tex]

[tex]= -128[/tex]

Learn more about "Velocity" here:

brainly.com/question/18084516

0.000487 in scientific notation

Answers

Answer:

4,87×10⁴ thats the answer:)

Answer:

[tex]10^{4} x 4.87[/tex]

Step-by-step explanation:

Which best describes the association shown in the scatter plot?

Answers

Answer:

A- Strong Positive

Step-by-step explanation:

hopes this helps

Answer:

strong positive

Step-by-step explanation:

"759,993 rounded to the nearest hundread

Answers

Answer:

760,000

Step-by-step explanation:

759,993

we round 993 up to 1,000

Hello i need help. ​

Answers

Answer:

477,900

Step-by-step explanation:

477,900 is the answer

The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by: P(x)=-12x^2+120x What current will produce the maximum power?

Answers

Answer:

A current of 5 amperes will produce the maximum power.

Step-by-step explanation:

Let be [tex]p(x) = -12\cdot x^{2}+120\cdot x[/tex], where [tex]p(x)[/tex] is measured in watts and [tex]x[/tex] in amperes. At first we must obtain the first and second derivatives of the function to determine the current associated with maximum power. That is:

First derivative

[tex]p'(x) = -24\cdot x + 120[/tex]

Second derivative

[tex]p''(x) = -24\cdot x[/tex]

Now, we equalize the first derivative to zero and solve it afterwards: (First Derivative Test)

[tex]-24\cdot x + 120 = 0[/tex]

[tex]x = 5\,A[/tex]

The only critical point is [tex]x = 5\,A[/tex].

As next step we need to assure that critical point leads to an absolute maximum by evaluating the critical point found above in the second derivative: (Second Derivative Test)

[tex]p(5)'' = -24\cdot (5)[/tex]

[tex]p''(5) = -120[/tex]

Which indicates that critical point leads to an absolute maximum.

A current of 5 amperes will produce the maximum power.

Answer: 5

Step-by-step explanation:

khan

Find the ratio y:x, if 3x=11y,

Answers

Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

Please thank, rate 5 stars, and give brainliest. Thank you.

A 7 volume numbered set of books is placed randomly on a shelf. What is the probability that the books will be numbered in the correct order from left to right?

Answers

Answer:

The probability of them being in the right order would be a fraction of 1/7

yes what the other person said 1/7

Mrs Perry shares out 21 biscuits between
Gemma and Zak in the ratio 1 : 6
How many biscuits does each child get?
biscuits.
Gemma gets
biscuits and Zak gets

Answers

Answer:

Gemma gets 3 biscuits

Zak gets 18 biscuits

Step-by-step explanation:

1:6 = 1+6

= 7

1/7 * 21 = 3

6/7 * 21 = 18

Step-by-step explanation:

x+6x=21

7x=21

x=3

6x=3×6= 18

Gemma gets 3 and Zak got 18

ej bisects def, m dej-5x+7, m JEF=8x-8. find x

Answers

Answer:

[tex] x = 5 [/tex]

Step-by-step explanation:

Given that segment EJ bisects angle DEF, it implies that angle DEF is divided into two equal angles, namely, angle DEJ = 5x + 7, and angle JEF = 8x - 8.

To find the value of x, let's derive an equation by setting m<DEJ equal to m<JEF, since both are equal parts of angle DEF bisected by segment EJ.

Thus:

[tex] 5x + 7 = 8x - 8 [/tex]

Solve for x

[tex] 5x + 7 - 8x = 8x - 8 - 8x [/tex] (subtracting 8x from both sides)

[tex] -3x + 7 = - 8 [/tex]

[tex] -3x + 7 - 7 = - 8 - 7 [/tex] (Subtracting 7 from both sides)

[tex] -3x = -15 [/tex]

[tex] \frac{-3x}{-3} = \frac{-15}{-3} [/tex] (dividing both sides by -3)

[tex] x = 5 [/tex]

Given f(x)=20x+12, find f(5)

Answers

Answer:

212

Step-by-step explanation:

20(5)+12

200+12

212

Which diagram shows plane C and plane D intersecting at ←XY→?

Answers

Answer: The bottom left option.

Step-by-step explanation:

←XY→ is the line that connects the points X and Y.

The fact that the planes C and D intersect at this linea, means that all the points where the planes are intersecting are points in the given line.

Then the correct option is the bottom left one, because the planes D and C are intersecting in a line, and the line passes through the points X and Y, so that line is called ←XY→.

Jessica has a $100 gift card from
Starbucks. She spends $5 each day
until the balance is zero.

Answers

Answer:

I'm not sure what answer you want from this but it would take her 20 days to use the entire gift card

Answer:

so she spend $5 for 20 days

Step-by-step explanation:

hope it is helpfull.

please mark me as a brainlist...

Other Questions
Note ONE reason why Justin became emperor. 8.Tubular T-shirts charges $22 to come up with a design. They then charge $12 per tushirt.How many t-shirts can you buy with $4882 Answer the following question in 5-8 sentences: Do you think there are negative consequences due to the way our country has shifted from religion playing a large role in our government to today where religion is almost not allowed to be discussed and it is controversial when someone from Washington mentions God? If so can you explain what those negative consequences are?please I need help What years was the French and Indian War fought A soccer team is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The teams profit is the amount the team made after paying for supplies. Write a sum of integers that represents the teams profit. A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left? Function or not ? Please help me thanks For the last two school years, Erin has shared a house near campus with several of her friends. The arrangement has been great, especially because her parents cover her rent payments. Her boyfriend recently suggested they get an apartment together. After weighing the pros and cons, she agrees but says that they cant ever let her parents find out or theyll cut her off financially. Is Erin making the right choice? -4.2 + 3.3 and Ive been getting -7.5 how did the dinosaurs go extinct 2A + 3B--> A2B3 If 3mL of 0.04M A, 4mL of 0.02M B and 3mL of H2O was into a reaction test tube, what are the concentrations of A and B in the test tube. find the area of (1, 13) (7, 13) (7, 1) (1, 1) One of the most common injuries in a walkway, garage, aisles or stairs is A. People are not paying attention B Cords or debris left in the walk areas C. Horsing around D. Going too fast What is another way to express five to the second power? Which of these below correctly solves for y ofthe equation 3x - 2 = 4y + 5? what is the river located Explain how the Song education system allowed for social mobility. How were the first modern humans, known as Homo sapiens, different from other hominid species before them?A)They were able to use fire to their advantage,B)Their brains were smaller than previous species,They were able to create tools to make work easier,D)They were able to think of symbols and associate them with differentthings. Did the Akkadian Empire have a positive or negative impact on Mesopotamia? Solve the equation: (3)/(7)-(2)/(5)x=5