What is the solution set of inequality 8n<32

Answer:

AB = 20 units

Step-by-step explanation:

Given the coordinate midpoint M(4.-2) and A(-2,6), we are to find the length AB. To get that, we need to get the coordinate of B first as shown

M(X, Y) = [(x1+x2/2, y1+y2/2]

X = x1+x2/2

4 = -2+x2/2

8 = -2+x2

x2 = 8+2

x2 = 10

Y = y1+y2/2

-2 = 6+y2/2

-4 = 6+y2

y2 = -4-6

y2 = -10

Hence the coordinate of B is (10, -10)

Recall that A =(-2, 6)

Get AB;

AB = √(x2-x1)²+(y2-y1)²

AB = √(-2-10)²+(6+10)²

AB = √(-12)²+(16)²

AB = √144+256

AB = √400

AB = 20 units

Answer:

it is 64.8, but you have to round to the nearest number, so i would say 65 :)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

% means out of 100, so 80% is 80/100

Let's divide 100/80 to find a scale we can use to multiply 36, 100/80 =

36 times 1.25 = 45

There's 45 donuts

Double check:

45(80/100) = 36, we're right

Answer:

Step-by-step explanation:

4 boys and 5 girls ratio (4:5)

4:5 ratio

hope this helps

Answer:

Right tailed test

Step-by-step explanation:

The null hypothesis is:

[tex]H_o: \mu \le 30[/tex]

The alternative hypothesis is:

[tex]H_a: \mu > 30[/tex]

This is a right-tailed test since the alternative hypothesis is greater than 30

Suppose the level of significance is 0.05 and we are given a p-value less than  0.05.

Then, we reject the null hypothesis.

Answer:

D.1

Step-by-step explanation:

It's the only line with a curve.

The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.

Let, you work at grocery story (x), and you work mowing lawns (y)

You want to work no more than 10 hrs

So, first inequality will deal with hrs.

x + y ≤ 10....(i)

A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.

And,

Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...

Now we will make an inequality dealing with the $

5x + 10y ≥ 50.....(ii)

A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.

So, the inequalities are :

x + y ≤ 10

5x + 10y ≥ 50

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Answer:

[tex]\huge\boxed{\sf 25 \% \ off}[/tex]

Step-by-step explanation:

Normal Price = $ 24

Saved = $ 6

Discount %age:

[tex]\sf \frac{6}{24} * 100 \%\\\\\frac{1}{4} * 100\%\\\\= 25 \%[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

77.88

Step-by-step explanation:

just did the test!

The solution is 77.88°

The value of arc cos ( 0.21 ) is 77.88°

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the angle be represented as A

Now , the value of A is

A = arc cos ( 0.21 )

The value of arc cos ( 0.21 ) = 1.35922137 rad

The value of 1 rad = ( 180°/π ) degrees

So , 1.35922137 rad = 1.35922137 ( 180°/π ) degrees

On simplifying the equation , we get

The value of arc cos ( 0.21 ) = 77.8776478 degrees

Rounding to the nearest hundredth , we get

The value of arc cos ( 0.21 ) = 77.88 degrees

Hence , the measure of arc cos ( 0.21 ) is 77.88°

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Answer:

-3/2

Step-by-step explanation:

hope this helps

Answer: C

Step-by-step explanation: I just took the exam

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-4,2)\quad\implies\quad x_1=-4\,,\ y_1=2\\\\(2,-6)\quad\implies\quad x_2=2\,,\ y_2=-6\\\\d=\sqrt{(2+4)^2+(-6-2)^2}= \sqrt{6^2+(-8)^2}= \sqrt{26+64}= \sqrt{100}=10[/tex]

Answer:

-b/a

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. That means that their product is -1.

slope of line = a/b

slope of perpendicular = -b/a

Answer:

Its C

Step-by-step explanation:

C is the answer. it is timed and I am not a fast typer

Answer:

A

Step-by-step explanation:

Answer:

117-12.50=w

Step-by-step explanation:

branliest plzzzzz

Answer:

Slope = - 121

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

m = Slope      

Step 3:

y = - 121x + 200        Equation

Answer:

Slope = - 121

Hope This Helps :)

Answer:

-121X

Step-by-step explanation:

In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x

I hope this helps! :)

Answer:

x = 20

Step-by-step explanation:

These two angles are corresponding angles which means that they sum to 180. You can formulate an equation by writing it as, 3x - 10 + 5x + 30 = 180. Once you simplify it, you end up with 8x = 160 which equals 20. Hope this helps.

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

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Answer:

x can equal -6 or 6

Step-by-step explanation:

absolute value bars get rid of negative simbols and make it always positive

Answer:

Step-by-step explanation:

9-3=6

X=6

Answer:

take a better photo this is blurry

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

18 + 12 = 30 so it 40 student so it is 10 .

Answer:

12/12 + 18 = 100

Step-by-step explanation:

Use calculator

Answer:

X = 0

Step-by-step explanation:

Because if X equaled 0 then both sides would be equaled to 16.

Answer:

yes

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Option A is correct by observation we can see when (x,y) = (0,5/2) it satisfies the given equation 10x - 16y = -40

A linear equation in two variable is an alzebraic equation which has highest degree of 1 and contains two variables.

A linear equation in two variables infinite number of solution for each value of x there is a corresponding y value.

In the given question when value of x is 0 the corresponding value of y is 2 and half.The equation of the graph 10x - 16y = -40 satisfies the given values.

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Answer:

It's called a transversal lol

Step-by-step explanation:

I know that you were thinking that there should be a letter somewhere but you can't figure out the name of a line unless the name is shown lol

Pls mark Brainliest.

Answer:

36

Step-by-step explanation:

x² + 12x - 40 = 0

x² + 12x    = 40

Now, 12/2 = 6. So add 6² = 36 to each side

x² + 12x + 36 = 40 +36