Which of the following number lines represents the solution to the compound inequality 2x+ 9 <3 or -3x +4<(or equal to) -11 ?

Answer: a

Step-by-step explanation:

Answer:

the answer is d. it is written in scientific notation.

Step-by-step explanation:

have a nice day!

Answer:

See below.

Step-by-step explanation:

30.

E(1, 2), F(5, 6), G(3, -2)

a)

H, midpoint of segment EG

H( (1 + 3)/2, (2 + (-2))/2) = H(2, 0)

J, midpoint of segment FG

J( (5 + 3)/2, (6 + (-2))/2) = J(4, 2)

b)

Show that segment HJ is parallel to segment EF.

Parallel lines have equal slopes. We find the slopes of the two segments using the endpoints and show that the slopes are equal proving the segments are parallel.

slope of segment HJ:

slope HJ = (2 - 0)/(4 - 2) = 2/2 = 1

slope of segment EF:

slope EF = (6 - 2)/(5 - 1) = 4/4 = 1

slope HJ = slope EF = 1

Segments HJ and EF are parallel since their slopes are equal.

c)

Show HJ = (1/2)EF

We use the distance formula to find the lengths of segments HJ and EF.

length of HJ = sqrt[(4 - 2)^2 + (2 - 0)^2] = sqrt(4 + 4) = sqrt(8) = 2sqrt(2)

length of EF = sqrt[(5 - 1)^2 + (6 - 2)^2] = sqrt(16 + 16) = sqrt(32) = 4sqrt(2)

HJ = (1/2)EF

Substitute the lengths we found just above for HJ and EF:

2sqrt(2) = (1/2)[4sqrt(2)]

2sqrt(2) = 2sqrt(2)

The two sides are equal, so we have proved that HJ = (1/2)EF.

Answer:

The sum of the two solutions to the given equation is 1/3.

Step-by-step explanation:

Nature of Roots of a Second-Degree Equation

Given a quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The roots of the equation are:

[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]

The sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]

The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.

We are given the equation:

[tex]3x^2 - x = 4[/tex]

Rearranging:

[tex]3x^2 - x - 4=0[/tex]

The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]

[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]

The sum of the two solutions to the given equation is 1/3.

The first term of the geometric sequence is 2 and the common ratio is 5. So, the 12th term of the geometric sequence is 97656250.

Important information:

We need to find the 12 th term.

In the given geometric sequence, the first term is [tex]a=2[/tex] and the common ratio is [tex]d=\dfrac{10}{2}=5[/tex].

The nth term is:

[tex]a_n=ar^{n-1}[/tex]

Where [tex]a[/tex] is first term, [tex]r[/tex] is common ratio.

The 12th term is:

[tex]a_{12}=2(5)^{12-1}[/tex]

[tex]a_{12}=2(5)^{11}[/tex]

[tex]a_{12}=97656250[/tex]

Therefore, the 12th term of the geometric sequence is 97656250.

Find out more about 'Geometric sequence' here:

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Answer: 97656250.

Step-by-step explanation:

dm

it's tooo easy

answer -1296

Answer:

n = 81

Step-by-step explanation:

The left angle in the upper triangle and 44° are Alternate angles and congruent.

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

n is an exterior angle of the upper triangle, thus

n = 44 + 37 = 81

Answer: Static electricity is uncontrolled electrons passing from one body to another in sudden, momentary movements, while current electricity is when the electrons are controlled by moving along a path together.

HAVE A BLESSED DAY!!!!

Answer:

a. 1,000 trees

b. 3,250 trees

Step-by-step explanation:

a. How many trees will they plant during the fifth year?

b. How many trees will they have planted by the end of the tenth year?​

Using the sum of an arithmetic progression formula

Sn = n/2 {2a+(n-1)d}

Where,

Sn = Sum of an n terms

n = number of terms

a = first term

d = common difference

a.

n = 5

a = 100

d = 50

S5 = n/2 {2a+(n-1)d}

= 5/2 {2*100 + (5-1)50}

= 5/2 {200+(4)50}

= 5/2{200 + 200}

= 5/2(400)

= 2,000 / 2

= 1,000

S5 = 1,000 trees

b. Sn = n/2 {2a+(n-1)d}

n = 10

a = 100

d =50

S10 = 10/2{2*100 + (10-1)50}

= 5{200 + (9)50}

= 5{200 + 450}

= 5(650)

= 3,250

S10 = 3,250 trees

Answer:

B. 2/5 barrel/hour

Step-by-step explanation:

cross multiply 1/5 and 2/1

=2/5

Answer:

64 and 1/3 steps

Step-by-step explanation:

Answer:

775 / 12 = 64.5833...

Step-by-step explanation:

Answer:

The standard deviation is considered a measure of spread.

Step-by-step explanation:

Standard deviation is basically considered a measure of spread, measuring how far data values are from their mean.

For instance, in certain data sets, we may observe the same mean, but their range could be different, and data values in one data set may have been closely concentrated near the mean than the other data set values.

For example,

considering the data set

[tex]15, 15, 15, 14, 16[/tex]

The given data set has a mean: 15

considering the second data set

[tex]2, 7, 14, 22, 30[/tex]

The given data set has also a mean: 15

But, the values in the second data set are clearly more spread out. When the values of a data set are not spread out largely, then the set will have a low standard deviation.

Therefore, the standard deviation is considered a measure of spread.

Answer:

The answer is 8.9

PLEASE MARK BRAINLIEST

Answer:

8.9

Step-by-step explanation:

Answer:

Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Hope this helps bb's!!

Lots of love and peace your way!!  <3

For a translation and a rotation map of ΔHJK to ΔLMN is given by translating K to N and rotating about K until HK lies on the line containing LN. Option C is correct.

When a form travels around a fixed point or over the mirror line without altering, it is said to be translating. When a form rotates around a fixed point, it is said to be rotating.

In conclusion, The translation and rotation of the map ΔHJK to ΔLMN Translate K to N and rotate about K until HK lies on the line containing LN.

The image of the triangle translation is attached with the answer below.

Read more about translation

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#SPJ5

Answer:

y = 2x + 16

Step-by-step explanation:

slope is parallel and equal to y = 2x + 6

y intercept = 16

Answer:

b - y=2x+16

Step-by-step explanation:

y=y1+m(x+x1)

(-4,8)

y=8+2(x-4)

y=8+2x-8

add 8 on both sides

y=2x+16

Answer:

what none of these make sense

Answer:

Step-by-step explanation:

put the y intercept at 4. then go down 1 and right three, down one, then right three. go back to the y intercept and then go up one and left three, up one and left three

to answer this you should plot a point at (0,4). That is the y intercept as you can see on the equation +4 is at the end. Since the slope is -1/3, go 1 unit left and 3 up from the y intercept. those are your two points and draw a straight line though.

Answer:

The function is C(t)=20 + $2.50X

Total amount is $30

Step-by-step explanation:

Manuel has already sold $20 worth of tickets to the school play, He has 4 tickets left to sell at $2.50 per ticket

It means he sell 1 ticket for $2.50

Then he sold the $20 worth of tickets to the school play at $2.50 per ticket i.e $20/2.50= 8 tickets which means he sold 8 tickets for $20.

If He has 4 tickets left to sell at $2.50 per ticket

Then he will sell at ($2.50×4)=$10

Then total tickets sold= $10+$20= $30

LET US WRITE THE FUNCTION NOW

The function for the total amount collected from ticket sales can be written as

C(t)=20 + $2.50X

Where X is the number of tickets to be sold

C(t) = total amount

$20= initial sold

If He has 4 tickets left to sell then

C(t)=20 + $2.50(4)

C(t)= 20+10= $30

Answer: you answer is -$150

Step-by-step explanation:

450 minus 200 minus 200 minus 200 and you get -$150

Answer:

what grade are you in

Step-by-step explanation:

Answer:

h(7+h)

Step-by-step explanation:

You would need to factor the h out of ([tex]7h+h^{2}[/tex])

Answer:

-6-0

____

6-5

Step-by-step explanation:

its suppose to be a fraction hope it helps please mark brainliest

Answer:

It's 144 units^2

Step-by-step explanation:

You have to take your 3/2 and square it, turning it to 9/4 and multiply that by 64, which gives you 144.

Answer:

Need more information, will get back to you.

Step-by-step explanation:

How many costumes does she want to make?

all of the  lines in which light and heat may stream through from the sun or any luminous body, or pass through small openings.

Step-by-step explanation:

Answer:

Ray: Any of a set of straight lines passing through one point. Each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

(I'm so sorry if this is wrong)

Hope this Helps!

Answer:

Line 2 ║ Line 3

Step-by-step explanation:

y = mx + b

~~~~~~~~~~

Line 1: y = - 7x + 6

Line 2: x + (1/3)y = - 6 ⇔ y = - 3x - 18

Line 3: y = - 3x - 8

Line 4: y + 7 = (-1/7)(x + 4) ⇔ y = [tex]- \frac{1}{7}[/tex] x - [tex]\frac{43}{7}[/tex]

[tex]m_{line2}[/tex] = [tex]m_{line3}[/tex]  ⇒  Line 2 ║ Line 3

Answer:50

Step-by-step explanation:

You are given the domain value which is your "x".

So to solve the problem you fill x as 3

Making the equation f(x)=12(3)+14

12 * 3 = 36

36+14=50

There is your answer!

Answer:

it is C

Step-by-step explanation:

hope it helps

City X would have summer at position 4.

The image shows the rotation of the earth around the sun and a city in the northern hemisphere is marked with a letter X.

In the positions shown on the earth the stations are:

The distribution of the seasons originates from the position of the earth concerning the sun and the areas most exposed to solar rays, as can be seen in position 4, the northern hemisphere is more exposed to solar rays, while the south is less exposed.

According to the above, the correct answer is 4. In this position, the north is in summer and the south in winter.

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