Graph the line y=43x+1.

Answer:

All are rational numbers.

Step-by-step explanation:

1)0.032 is rational because it is terminating number.A terminating number is always rational.

2)20/4=5. It is also a rational number becasue 5 is natural/whole number.They are also rational.

3)-2 is an integer and also falls in rational numbers.

4)-2/3=-0.666.....

It is a non-terminating and recurring number.This category also falls in rational.

5)99/2=49.5

It is also a terminating number it is a rational number.

Note: all above numbers can be written in p/q form.

Answer:

3/2

Step-by-step explanation:

Csc(theta) = 1/Sin(theta)

So we have to find the side opposite theta.

a = 3*sqrt(5)

b = ?

c = 9

a^2 + b^2 = c^2

(3sqrt(5)) ^2 + b^2 = 9^2

9*5 + b^2 = 81

b^2 = 81 = 45

b^2 = 36

sqrt(b^2) = sqrt(36)

b = 6

Sin(theta) = 6/9

Csc(theta) = 1 / sin(theta) = 9/6

Csc(theta = 3/2

Problem 3

=====================================================

Explanation:

Use the pythagorean theorem to find the length of the missing side.

[tex]a^2 + b^2 = c^2\\\\a^2 + (3\sqrt{5})^2 = 9^2\\\\a^2+3^2*(\sqrt{5})^2 = 9^2\\\\a^2 + 9(5) = 81\\\\a^2 + 45 = 81\\\\a^2 = 81-45\\\\a^2 = 36\\\\a = \sqrt{36}\\\\a = 6\\\\[/tex]

This is the length of the missing vertical side. This side is opposite the angle theta.

[tex]\csc = \text{cosecant}\\\\\csc(\theta) = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc(\theta) = \frac{9}{6}\\\\\csc(\theta) = \frac{3*3}{3*2}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]

Alternatively, you can compute it like this

[tex]\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\theta) = \frac{6}{9}\\\\\sin(\theta) = \frac{2}{3}\\\\\csc(\theta) = \frac{1}{\sin(\theta)}\\\\\csc(\theta) = 1 \div \sin(\theta)\\\\\csc(\theta) = 1 \div \frac{2}{3}\\\\\csc(\theta) = \frac{3}{2}\\\\[/tex]

Answer:

2*b = 8

b=4

Step-by-step explanation:

2*b = 8

Divide each side by 2

2b/2 =8/2

b=4

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Step-by-step explanation:

Given that,

Mary Smith ordered 3/4 truckload of merchandise.

If approximately 1/3 of the merchandise has been unloaded.

To find,

How much remains to be unloaded?

Solution,

Remaining amount = Total truckload - Unloaded amount

Let x is the remaining amount. So,

[tex]x=\dfrac{3}{4}-\dfrac{1}{3}\\\\x=\dfrac{3(3)-4}{12}\\\\x=\dfrac{5}{12}[/tex]

Answer:

So, the remaining amount is [tex]\dfrac{5}{12}[/tex].

Reference:

https://brainly.com/question/10445856

Using formula:

Remaining amount = Total truckload - Unloaded amount

Calculating the remaining amount:

[tex]\to \bold{x=\frac{3}{4}-\frac{1}{3}}\\\\[/tex]

       [tex]\bold{=\frac{3\times 3-4}{12}}\\\\\bold{=\frac{9-4}{12}}\\\\\bold{=\frac{5}{12}}\\\\\bold{=0.416}\\\\[/tex]

Therefore, the remaining amount is "0.416"

Learn more:

brainly.com/question/10445856

Answer:

π = 2A/ r²

Step-by-step explanation:

[tex]\pi = \frac{2a}{ {r}^{2} } [/tex]

Answer:

no

Step-by-step explanation:

if it was 9.04 it would

its not equal because 9.40 is 10^2 but 9.4 is 10^1

Answer:

Step-by-step explanation:

So we know that it cost $600 in material to build the couch,

and then we know it cost $2000 extra to install and setup the couch,

so it cost 2,600 to build and install one couch,

So the first answer is 2,600

Now to build and install 15 of them we do 2,600 x 15 = $39,000

So it cost 2,600 to make and install one

And 39,000 to make and install 15.

But it only cost $600 to build one

and $9,000 to make 15 without installation fees.

Answer:

x < 3

Step-by-step explanation:

11 > 2 + 3x

3x + 2 < 11

3x (+ 2 - 2) < 11 - 2

3x < 9

3x/3 < 9/3

x < 3

Answer:

3 >x

Step-by-step explanation:

11>2+3x

Subtract 2 from each side

11-2>2-2+3x

9 > 3x

Divide each side by 3

9/3 > 3x/3

3 >x

Answer and Step-by-step explanation:

To solve for d, divide f from both sides of the equation.

df ÷ f = (g + 32) ÷ f

d = [tex]\frac{g+32}{f}[/tex] is the answer.

#teamtrees PAW (Plant And Water)

I hope this helps!

Answer:

a) linked a screenshot of the graph.

b) when y=1 x=.5

Step-by-step explanation:

4 is the slope, which makes the graph angle different. Starting at the origin (0,0) if you go over 1 and up 4 that is how you can draw the slope on a graph.

-1 makes the line go to the right 1 time so instead of the graph being on the origin (0,0) it will be placed on the coordinate points of (1,0)

To find the x value. Find 1 on the y-axis of the line graph. Go to the right to find where the line intersects. After you find that go straight down to find the x-value (0.5)

Answer:

 = 1/ (3x-2)

Step-by-step explanation:

H(x) = 1/(x+2)

k(x) = 3x - 4

h[k(x)] =  place the function k(x) in for x in the function h(x)

           = 1/(3x-4 +2)

Combine like terms

           = 1/ (3x-2)

Hey there! I'm happy to help!

What we need to do is take the value of k(x) which is 3x-4 and plug it into the function h(x).

This is because our x in the function h[k(x)] is k(x), so we will substitute that value for x in that formula and that will give us our answer.

H[(k(x)]=1/(3x-4+2)

And combine like terms

H[(k(x)]=1/(3x-2)

So, our answer is C. 1/(3x-2)

Have a wonderful day and keep on learning! :D

Answer:

Neither

Step-by-step explanation:

One angle is 90

Another angle is  43

Complimentary angle: If sum of two angles is 90, then they are complimentary.

Supplementary angle: If sum of two angles is 180, then they are supplementary.

So, the  above mentioned are neither of these

Answer:

you forgot to add the statements

Answer:

[tex]1)then \: we \: can \: seperate2x \\ 2)then \: we \: can \: get \: x \: alone \\ 3)we \: add \: and \: divide \: in \: both \: side \\ \: of \: this \: equation \: equally \: \\ 4)we \: get \: wrong \: answer \\ thank \: you[/tex]

Answer:

He sold 700 oranges

Step-by-step explanation:

37x10=370

33x10=330

370+330=700

Answer:

(6,-3)

Step-by-step explanation:

Using midpoint formula, we have

x=(4+8)/2=12/2=6

y=(-10+4)/2=-6/2=-3

Answer:

[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{2 - ( - 4)}{ - 4 - 1} = \frac{2 + 4}{ - 5} = \frac{6}{ - 5} [/tex]

f(1)=4(1)=4

f(2)=4(2)=8

f(3)=4(3)=12

f(4)=4(4)=16

f(5)=4(5)=20

I hope I helped you^_^

Answer:

c = 275n

Step-by-step explanation:

It's saying what is the rule, which would be 275 dollars per arce. Now, put that into an equation: c = 275n

Answer: x = -19

Step-by-step explanation:

Given

x + 7 = - 12

Subtract 7 on both sides

x + 7 - 7 = -12 - 7

[tex]\boxed{x=-19}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

X=-19

Step-by-step explanation:

X+7=-12

subtract 7 from both sides

X=-19

Answer:

19.6

Step-by-step explanation:

the answer to the question is 19.6

Answer:

19.6

Step-by-step explanation:

We have to do long devision:

5 goes into 9 how many times? Once. So our first number will be one.

9 - 5(1) = 4

Bring the 4 down. Then bring the 8 from 98 down.

5 goes into 48 how many times? Nine times. So our second number will be nine.

48 - 5(9) = 3

Bring the 3 down. Since there is no numbers left from 98, add a decimal and then a zero to make the number 98.0.

5 goes into 30 how many times? Six times. So our third number will be six. Don't forget to add the decimal before the six!

30 - 5(6) = 0

Answer:

12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000

Step-by-step explanation:

Answer:

13,000 and 5,000

Step-by-step explanation:

Answer:

[tex]x=5\\z=94[/tex]

Step-by-step explanation:

As they are vertical angles

∴[tex]7x+51=86\\=>7x=35\\x=5[/tex]

And,

∴[tex]86+86+z+z=360\\=>2z=188\\z=94[/tex]

I have added an image for your further observation

Hope you have understood this.....      

ask me if you have any confusion.....      

if you liked it pls mark it as the brainliest

Question

What is the distance between the

points (-8, -3) and  (-2, -5)?

Answer:

let the distance between the points be A(-8, -3) = x_1 ,y_1  and B (-2, -5)

= x_2 ,y_2.

Now,

According to the Pythagoras theorem,

Answer: slope = 2

Step-by-step explanation:

slope formula is y2-y1 / x2-x1

let’s make 5, x1 and -1, x2, 4, x2 and -3, y2.

if you plug the numbers in it should look like

-3 - -1 / 4-5 = -2/-1 = 2 (positive two). it’s a positive 2 because a negative times a negative is a positive and a positive times a negative is a negative

Answer:

[tex]\frac{x-10}{4}[/tex]

Step-by-step explanation:

When it says less then that means 10 is less than x. You can write divided by 4 either by putting it as a fraction or by using the division sign as "x-10 / 4."

The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

If the quantity 10 is less than x, then the expression will be

⇒ 10 - x

Then the quantity 10 less than x and divided by 4, then the expression will be

⇒ (10 - x) / 4

The quantity 10 less than x, divided by 4 is mathematically given as (10 - x) / 4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

9/40

Step-by-step explanation:

9/4 (5/6 - 11/15)

9/4 (1/10)

= 9/40