please help guys !!!

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

Answer:

5^4x+3 ×100^-2x+1=50000

5^4x×100^-2x=49996

isolate the variable by dividing each side by factors that don't contain the variable. Exact Form: x = 8 √ 12499 ,  Decimal Form: x = 894.39141319 …

Answer:

Step-by-step explanation:

Answer: x = 7 and y = -2

Step-by-step explanation:

2x +3y = 8 ----------------(1)

x-y = 9 ----------------------(2)

multiply (2) by 2

2x-2y = 18--------------------(3)

subtract (2) from (3)

-5y = 10

Divide bothside by -5

y = -2

Similarly, multiply (2) by 3

3x-3y = 27-----------------------(4)

add (1) and (4) together

5x = 35

Divide bothside by 5

x= 7

Therefore, x =7 and y= -2

Answer: C {3, 4}

Step-by-step explanation:

Solve the inequality:

7x + 6 > 20

7x > 20 - 6

7x > 14

x > 2

Only 3 and 4 are greater than 2.

Answer:

The surface area is 116.

Step-by-step explanation:

Answer:

(8,2.40)

Step-by-step explanation:

Answer:

Here we need to use:

[tex]\sqrt{x^2} = |x|[/tex]

The distance between two points (x₁, y₁) and (x₂, y₂) is given by:

[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Then the distance between:

(-3, -5) and (9, -5) is just:

[tex]D = \sqrt{(-3 - 9)^2 - (-5 - (-5))^2} \\\\D = \sqrt{(-3 - 9)^2} = |-3 - 9|[/tex]

because both numbers inside the absolute value, we can rewrite it as:

|-3 - 9| = |-3| + |-9| = |-3| + |9| = 12

So, by finding the distance between  (−3, −5) and (9, −5), we got the given expression, in this way we prove that the given expression represents the distance between these points.

Answer:

under

Step-by-step explanation:

The points are on a horizontal line, parallel to the x-axis. The absolute value of −3 represents the distance from (−3, −5) to the y-axis, and the absolute value of 9 represents the distance from the y-axis to (9, −5).

Answer:

14 m/s²

Step-by-step explanation:

From the question

a ∝ F/m.............. Equation 1

Where a = aceleration, m = mass, F = force

make F the subject of the equation

F = ma............ equation 2

Given: m = 7 kg, a = 4 m/s²

Therefore,

F = 7(4)

F = 28 N

For another object whose mass is 2 kg,

Make a the subject of equation 2

a = F/m

a = 28/2

a = 14 m/s²

Answer:

([tex]a^{2}[/tex] + 9 ) × (2[tex]a^{2}[/tex] + 1)

for the first one try two but im not sure

Answer:

F = -k × X

10 Newtons = -k × 5 cm -k = 10 N/5 cm

-k = 2N/cm

k = -2N/cm

The value of spring constant "k" is -2 N/cm. Thus, the correct answer is option D.

To find the constant of proportionality "k," we can rearrange the formula:

F = -k x x

Since we are given that a force of 10 Newtons produces an extension of 5 cm, we can substitute these values into the equation:

10 N = -k x 5 cm

To solve for "k," we divide both sides of the equation by 5 cm:

k = -10 N / 5 cm

Simplifying the expression:

k = -2 N/cm

Therefore, the value of "k" is -2 N/cm. Thus, the correct answer is option D.

To know more about an expression follow

https://brainly.com/question/28866664

#SPJ2

it may be 12...........

Answer:

B) RS=5

Step-by-step explanation:

(2x-6)+(1)+(x-4)=18

2x-6+1+x-4=18

3x-9=18

3x=18+9

3x=27

x=9

Find RS

x-4

9-4

=5

Answer:

it's going to be EOC

Step-by-step explanation:

I used my brain

Answer:

dat I don't know the answer sorry I could not answer u

Answer:

x = 10.7

Step-by-step explanation:

We have:

[tex]\frac{x}{sin 90}[/tex] = [tex]\frac{9.2}{sin59}[/tex]

=> x × sin59 = 9.2 × sin90

=> x × sin59 = 9.2

=> x = 9.2 ÷ sin59

=> x = 10.733027...

=> x = 10.7 (Round to the nearest tenth)

<3 Have a nice day!!

Answer:

30 degrees.

Step-by-step explanation:

DC is given as 120, so start off by finding arc BC.

180-120= Semicircle-DC=60.

BC=60.

Inscribed angles are half of their arcs.

60/2=30.

Answer:

39.96 is what I think is the answer :)

Answer:

5 units!

Step-by-step explanation:

Because Rectangle Perimeter = 2(a+b)

a=2w-1, b=w

2(2w-1+w)=28

3w-1=14

3w=15

w=5

So the answer is 5! 5! 5! A!A!A!

Fighting!! o(≧o≦)o

Answer: 16,200 Seconds

Step-by-step explanation:

Data: 4.5 hours(h)=x seconds(s)

Step One, Convert Hours Into Minutes

4.5h=4h and 30 minutes(m)

1h=60mx4=240m+30=270m

Reason: Since to convert to seconds, minutes are needed, you have to convert everything to minutes. And with 60 minutes in an hour you have to multiply 60 by 4 to get 240 and add 30 minutes to it(since it's 4.5 hours) to find ourselves at 270 minutes.

Step two, Convert Minutes Into Seconds

1m=60s

270mx60=16,200s

Reason: Since we are ultimately trying to get 4.5 hours into seconds, we have to convert the minutes we have into seconds by multiplying 270 minutes by 60(since 60 seconds are in a minute) to get our final answer of 16,200 seconds.

I hope this helps!

Answer:

30 ,,,,,,,, I hope it's helpful for you

3 text messages = 5 cents

So,

1 text messages

= 5 cents/3

= 5/3 cents

So,

150 text messages

= 150 × (5/3 cents)

= 50 × 5 cents

= 250 cents

Answer: b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

slope=(1-0)/(5-4)=1

eq. of line through (4,0) with slope 1 is

y-0=1(x-4)

put y=f(x)

f(x)=x-4

Answer:

The inequality form is -4<x<-2

The Interval Notation is (-4, -2]

I hope this helps!

The image of the 2 mile markers is missing as well as the options and so i have attached them.

Answer:

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Step-by-step explanation:

From the image attached, the distance of the first mile marker is given as 50 miles while the distance of the second mile marker is given as 155 miles.

Thus, difference in distance between the two markers; d = 155 - 50 = 105 miles

Also, we see that the time of first marker is 3 pm while the second marker is 4:30 pm.

Thus, difference in time = 4:30 - 3 = 1 hour 30 minutes or 1.5 hours.

We know that;

Speed = distance/time

Thus;

Speed = 105/1.5

Speed = 70 mph

Thus, the 3 equations that represent this situation from the options are;

> 1.5 hours = 105 miles/speed

> Speed = 105 miles/1.5 hours

> 105 miles = 1.5 hours × speed

Answer:

1.5 hours = 105 miles/speed

Speed = 105 miles/1.5 hours

105 miles = 1.5 hours × speed

Step-by-step explanation:

Answer: C. x > 0

Step-by-step explanation:

The answer would be x > 0.

Answer:

C

Step-by-step explanation:

Answer:

0.5 inches

Step-by-step explanation:

The lower quartile is the value on the left side of the box plot

lower quartile for Florida = 3.5 inches

lower quartile for Pennsylvania = 3 inches

difference = 3.5 - 3 = 0.5 inches

Answer:

The minimum income level for this target group is of $51,253.6.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $41,182 and a standard deviation of $11,990

This means that [tex]\mu = 41182, \sigma = 11990[/tex]

Find the minimum income level for this target group.

The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 41182}{11990}[/tex]

[tex]X - 41182 = 0.84*11990[/tex]

[tex]X = 51253.6[/tex]

The minimum income level for this target group is of $51,253.6.

Answer:

See figure below.

Step-by-step explanation:

See the figure below.

Answer:

B: g(x) = -4(x + 3)^2

Step-by-step explanation:

When we shift to the left by a units

we have the new equation become

( x + 3)^2

Stretching by a factor of 4, we have it that;

4(x + 3)^2

reflecting over the x-axis means the y-axis value becomes negative

So we have

g(x) = -4(x + 3)^2