Determine the domain and range of the given function.
The domain is
The range is

Answer:

See below.

Step-by-step explanation:

20.

[tex] \sqrt{43} - \pi = 6.5574 - 3.1416 = 3.4158 [/tex]

Plot the number between 3.4 and 3.5, but much closer to 3.4 than to 3.5 since it is approximately 3.42.

21.

(7.3 * 10^6) / (3.2 * 10^4) = 7.3/3.2 * 10^6/10^4 = 2.3 * 10^2

Answer:

x=18

Step-by-step explanation:

21:28=x:24

1. rewrite: 21/28 = x/24

2. simplify: 3/4=x/24

3. multiply 24 to both sides: x=18

Answer:

Linear Pair Postulate

Step-by-step explanation:

I took the test and this is the right answer.

Supplementary angles are two angles that add up to [tex]180^o[/tex]. The reason for statement 2 is Linear Pair Postulate​.

From the given figure, we can see that:

When two angles have the above features, the two angles are said to be linear pairs, and they are supplementary.

Hence, the statement that complete the proof is (d) Linear Pair Postulate​

Read more about linear pair postulates at:

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Answer:

4.592 is greater

hmm.

ok

Answer:

4.524

Step-by-step explanation:

Answer:

Please see below :)

Step-by-step explanation:

The slope is just what's in front of the x!

So:

1.) slope = -1/4

2.) slope = undefined

3.) slope = -9

4.) slope = 9/2

Hope this helps!

Answer:

1. -1/4

2. undefined

3. zero

4. 6/5

Step-by-step explanation:

Answer:

y = 121

First it would be (-10 - 1) squared

Then (-11) squared

Which would result in 121

Answer:

y = 121

Step-by-step explanation:

I hope this helps!

Answer:i need more explaining

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

1+1=2

then times it by 2

2x2=4

then add 4

4+4=8

Answer:

393.70

Step-by-step explanation:

350x.04= 14 for 1st year

350+14= 364 for 1st year

364×.04= 14.56 for 2nd year

364+14.56= 368.56 for 2nd year

368.56×.04= 15.14 for 3yr

368.56+15.14= 393.70 yr 3 yrs

Answer:

The answer is 42.

Step-by-step explanation:

We start by using the Simple Interest Formula.

I=P x R x T

Key

P: Principal, R: Rate and T: Time

>P=$350

>R=4% or .04

>T= 3 (for 3 years)

Finally, multiply everything (350)(.04)(3)

| I= 42 |

Answer:

there would be 4940 ladybugs in 2019

Step-by-step explanation:

Answer:

Here side(a) = 2 cm. = (√3/4) (2)². = (√3/4) x (2) x (2). = (√3). = √3 cm².

Step-by-step explanation:

A = √3 cm²

Hi there !

use formula for area of equilateral triangle

[tex]A=\frac{s^{2} \sqrt{3}}{4}[/tex]

s = side

A = (2cm)²√3/4

= 4√3cm²/4

= √3 cm²

Good luck !

Answer:

what do you mean by that?

Step-by-step explanation:

Answer:

12xy₁₁x₃

Step-by-step explanation:

Answer:

x2 + 8 = 28

The value of x2 is 4.48

Step-by-step explanation:

Hope this is what you were asking for :)

Answer:

x = 12

Step-by-step explanation:

Here we go!

What we know:

So 7x and 8x are part of a same side interior angle. meaning, they add up to 180°!

[tex]8x + 7x = 180[/tex]

Combine like terms

[tex]15x = 180[/tex]

Divide 15 from both sides

[tex]x = 12[/tex]

Let's check our work:

plug in x

7(12) + 8(12) = 180

multiply

84 + 96 = 180

add

180 = 180

Answer:

I believe it 352.

Step-by-step explanation:

if you know it's at full capacity of 88 on all four trips multiply 4×88.

Answer:

7.2 × 10 with an exponent of -5

Step-by-step explanation:

the answer is 7.2×10 with an exponent of -5

Answer:

LOM= 66 and MON= 24

Step-by-step explanation:

I think

Answer:

<LOM=66,<MON=24

Step-by-step explanation:

(2x+46)+(3x-6)=90

2x+3x+46-6=90

5x+40=90

5x=90

x=10

2x+46=2*10+46=66

Answer:

rational number

Step-by-step explanation:

Answer:

3.7

the lines are absolute value

Step-by-step explanation:

it just means the length from zero and its already positive so 3.7

Answer:

j=-5

Step-by-step explanation:

Cross multiply.

-7j=35

j= -5

Given:

The compound inequality [tex]2x-3 < 7[/tex] and [tex]5-x \leq 8[/tex].

To find:

The solution for the given compound inequality

Solution:

We have, compound inequality [tex]2x-3 < 7[/tex] and [tex]5-x \leq 8[/tex].

For [tex]2x-3 < 7[/tex],

Add 3 on both sides.

[tex]2x < 7+3[/tex]

[tex]2x < 10[/tex]

Divide 2 on both sides.

[tex]x< 5[/tex]            ...(i)

For [tex]5-x \leq 8[/tex],

Subtract 5 from both sides.

[tex]-x \leq 8-5[/tex]

[tex]-x \leq 3[/tex]

Divide both sides by -1. So, the sign of inequality is changed.

[tex]x \geq -3[/tex]            ...(ii)

Using (i) and (ii), we get the solution of given compound inequality as

[tex]x \geq -3[/tex]  and [tex]x< 5[/tex]

Therefore, the correct option is D.

Answer:

32

Step-by-step explanation:

384 divided by 12 is 32

Answer:

Step-by-step explanation:

weight = (volume of block - volume of slots) x density of block

           = (30 * 20 * 9) - (2 x (10 * 8 * 9)) x 1.7

            = (5400 - 1440) x 1.7

           = 8,568

Volume is a three-dimensional scalar quantity. The correct option is D, 8568 grams.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the complete block is,

Volume = 36 cm x 20 cm x 9 cm = 6480 cm³

The volume of the opening is,

Volume of the opening = 2 × 10 cm x 8 cm × 9cm = 1440 cm³

Therefore, the weight of the cement block to the nearest gram is,

Weight = (6480 -1440)cm³ × 1.7 gram/cm³

            = 8568 grams

Learn more about Volume:

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#SPJ2

Option A is the correct answer, y = x + 2

y - 3 = x-1

If you bring the 3 to the R.H.S, it becomes y = x + 2

If you substitute the values,

3 = 1 + 2

3 = 3

Thus, e equation is correct

The slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)

m = 3+2/1+9

m = 5/10

m = 1/2

The equation in point slope form is given as y - 3 = 1/2(x - 1)

2(y - 3) = x - 1

Write in slope intercept form

2(y - 3) = x - 1

2y - 6 = x - 1

2y = x + 5

y = 1/2 x  + 5/2

Hence the slope-intercept form of the equation for this line is y = 1/2 x  + 5/2

Learn more on equation of a line here:  https://brainly.com/question/18831322

Answer:

x=5

Step-by-step explanation:

That is a right angle, so 18x=90. To find x, you have to divide 90 by 18, which gives you 5.

Answer:

18.35

Step-by-step explanation:

This is a question which requires you to work backwards.

Divide  means multiply and vice versa

Addition  means subtract and vice versa

First, we find the number before 47.7.

47.7-11=36.7

Secondly, we find the number before 36.7, aka the original number.

36.7/2=18.35 (/ sign means divide)

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A vertical compression (or shrinking) is the squeezing of the graph toward the x-axis. • if k > 1, the graph of y = k•f (x) is the graph of f (x) vertically stretched by multiplying each of its y-coordinates by k.