All categories

2 years ago

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Select the correct inequality symbol: x? 1 OK

Mathematics

1 answer:

Inessa05 [86]2 years ago

8 0

Answer:

Option (1)

Step-by-step explanation:

From the given number line,

Arrow starts from x = 1 with a hollow circle and moves towards negative numbers.

Hollow circle represents the sign of less than (<) or Greater than (>).

And arrow towards negative numbers represents the sign of less than (<)

Therefore, x < 1 will be the answer.

Option (1) will be the correct option.

You might be interested in

you want to make a rectangular dog pen using 20 yards od fencing. The side lengths must be in whole yards. create as many differ

Marina CMI [18]

Rectangular with whole numbers
perimiter=legnth+legnth+width+width=2l+2w
therefor
p=2l+2w=2(l+w)
p/2=l+w

perimiter=20
20=2l+2w
divide by 2 to make simpler
10=l+w
find all combos
l>w so
l=9 and w=1
l=8 and w=2
l=7 and w=3
l=6 and w=4

combos

8 0

2 years ago

A rectangular box which is open at the top can be made from an12-by-18-inch piece of metal by cutting a square from each corner

algol [13]

Answer:

h=2.35in, l=13.3in and w=7.3in

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram that will represent the prolem. (Look at attached picture)

From the diagram we can see that the length ad the width of the box are found by using the following expressions:

L=18-2x

W= 12-2x

H=x

next, we can make use of the volume formula of a rectangular prism, which is the following:

V=WLH

so we can substitute the expressions we got before on the formula:

V=x(12-2x)(18-2x)

and for ease of calculation, we can multiply the terms, so we get:

$V=x(216-24x-36x+4x^{2})$

$V=x(4x^{2}-60x+216)$

$V=4x^{3}-60x^{2}+216x$

So now we can find the derivative of the volume:

$V'=12x^{2}-120x+216$

and set it equal to zero, so we get:

$12x^{2}-120x+216=0$

and now we can solve. We can start by factoring the left side of the equation, so we get:

$12(x^{2}-10x+18)=0$

which yields:

x^{2}-10x+18=0

This one can only be solved by using the quadratic formula:

$x=\frac{-b\pm \sqrt{-b^{2}-4ac}}{2a}$

so we substitute the corresponding values:

$x=\frac{-(-10)\pm \sqrt{-(-10)^{2}-4(1)(18)}}{2(1)}$

which yields:

x=7.65in or x=2.35in

we keep the 2.35in only, because the 7.65in returns an impossible box, since that would make the width a negative width.

So the 2.35in height would give us the greatest box. Now we can use it to find the height, the width and the length of the box.

Height=x=2.35

W=12-2x=12-2*2.35=7.3in

L=18-2x=18-2(2.35)=13.3in

5 0

2 years ago

What is the answer to this equation

kirza4 [7]

EDF and GHL are similar. The scale factor is 1/2.

3 0

3 years ago

In the morning a tank cntained 10 litres of water.At lunch time it contained 7 litres of water.What percentage of water was used

iren [92.7K]

Answer:

30%

Step-by-step explanation:

10-7=3

3/10×100

=30%

7 0

2 years ago

Plz help with the math worth 21 points

irinina [24]

Answer:

As there is one math problem over there.

Lets see the question first:

It says that "A hair dryer is rated $1200\ W$ ,if you use the dryer for $0.25\ h$ .How much electric energy do you use ?"

Final answer = Electic energy $=0.3\ kW\ h$

Step-by-step explanation:

Electrical Energy $E=Power \times time$ .

The total amount of electrical energy used depends on the total power used by the electrical device and the total time they are used for.

So we have been given the power of the hair dryer $=1200\ W =\frac{1200}{1000}=1.2\ kW$

Now the time it has been use for $=0.25\ hrs$

To calculate electric energy we will multiply both the terms.

Electric energy $=0.12 \times 0.25 =0.3\ kW\ h$

So electric energy used for the hairdryer is = $0.3\ kW\ h$

7 0

3 years ago