answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Liono4ka [1.6K]
2 years ago
8

Help me solve this . -2x + 4 < 24

Mathematics
2 answers:
melamori03 [73]2 years ago
7 0

Answer:

Answer is -10

Step-by-step explanation:

-2x + 4 < 24

put -4 on both side,

or, -2x +4 -4 < 24 - 4

or, -2x < 20

(Now divide both by -2)

or, -2x/-2 < 20/-2

or, x < -10

Therefore, x= -9,-8,-7,-6,-5......

Zina [86]2 years ago
3 0

Answer:

x>10

Step-by-step explanation:

-2x<24-4

-2x<20

x>10

You might be interested in
Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe
Soloha48 [4]

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

7 0
2 years ago
The first task of the Segment Two Honors Project is to select the Power Pill study participants’ groups and research board offic
Tatiana [17]

Answer:

Part 1: There are 4.7*10^21 ways to select 40 volunteers in subgroups of 10

Part 2: The research board can be chosen in 32760 ways

Step-by-step explanation:

Part 1:

The number of ways in which we can organized n elements into k groups with size n1, n2,...nk is calculate as:

\frac{ n!}{ n1!*n2!*...*nk! }

So, in this case we can form 4 subgroups with 10 participants each one, replacing the values of:

  • n by 40 participants
  • k by 4 groups
  • n1, n2, n3 and n4 by 10 participants of every subgroups

We get:

\frac{ 40!}{10!*10!*10!*10!} = 4.7*10^{21}

Part 2:

The number of ways in which we can choose k element for a group of n elements and the order in which they are chose matters is calculate with permutation as:

nPk = \frac{ n!}{(n-k)!}

So in this case there are 4 offices in the research board, those are director,  assistant director, quality control analyst and correspondent. Additionally this 4 offices are going to choose from a group of 5 doctors.

Therefore, replacing values of:

  • n by 15 doctors
  • k by 4 offices

We get:

\frac{ 15!}{ (15-4)! } = 32760

7 0
2 years ago
Read 2 more answers
What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2Plus or minus 2 StartRoot 5 EndRoot x = ±6Plus or minus 6
Serga [27]

Question:

What are the solution(s) to the quadratic equation 50 – x2 = 0?

A) x = ±2Plus or minus 2 StartRoot 5 EndRoot

B) x = ±6Plus or minus 6 StartRoot 3 EndRoot

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

D) no real solution

Answer:

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

3 0
2 years ago
Read 2 more answers
The cost C of hiring a lorry is partly constant and partly varies with the time T spent. If it cost ₦850 for 4 hours hire and ₦1
enot [183]

Answer:

$1800

Step-by-step explanation:

First, rewrite out the information you already have:

-for 4 hrs-cost $850

-for 7 hrs-cost $1300

-for 12 hrs-$?

Next, we have to find out the amount of cost for hire per hour, so we can multiply that by 12 hrs:

-start by subtracting $850 from $1300:

1300-850=$450

-now subtract 4 hrs from 7 hrs:

7-4=3 hrs

In doing this, we see that the cost for 3 hrs hire is $450.  Now, to find the unit cost per hr hire, divide $450 by 3 hrs:

450÷3=$150/hr

It costs $150 per hr hire.

Now, we have to find the cost for 12 hrs hire, so just multipy the unit cost by 12:

150*12=$1800 for 12 hrs hire

It costs $1800 for 12 hrs hire.

6 0
2 years ago
Read 2 more answers
Suppose r(t)= cos(t)i+sin(t)j+(2t)k represents the position of a particle on a helix, where Z is the height of the particle abov
Gwar [14]

Answer:

The parametric equations for the tangent line are :

x = Cos(10) - t×Sin(10)

y = Sin(10) + t×Cos(10)

z = 20 + 2t

Step-by-step explanation:

When Z=20:

Z=2t=20 ⇒ t=10

The point of tangency is:

r(10)= Cos(10) i + Sin(10) j + 20 k

We have to find the derivative of r(t) to get the tangent line:

r'(t)= -Sin(t) i + Cos(t) j + 2 k

The direction vector at t=10 is:

r'(10)= -Sin(10) i + Cos(10) j + 2 k

So, the equation of the tangent line is given by:

x = cos 10 -t×Sin(10)

y = sin 10 + t×Cos(10)

z = 20 + 2t

4 0
2 years ago
Other questions:
  • Circle tens to make 1 hundred. Write the number in different ways?
    10·2 answers
  • Help me!
    11·2 answers
  • Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____. a. finan
    9·2 answers
  • What is 4x-4y/2=x+2 in slope intercept form?
    11·1 answer
  • The volume of an object is 8.12 x 10–3 m3. Calculate the volume in cubic feet. (2.54 cm = 1.00 inch, 12.0 inches = 1.00 foot)
    15·2 answers
  • A ship captain is attempting to contact a deep sea diver
    13·1 answer
  • Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-t
    10·2 answers
  • 5 of 17Questions Question 5 Safiya needs to find a number that can be multiplied by 18−−√3 to result in a rational product. Whic
    6·2 answers
  • Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
    8·1 answer
  • Barbara wants to buy some glittery heart-shaped beads to make friendship bracelets. The beads she wants come in a small pack wit
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!