Simplify: 2³ + 8 – 16 ÷ 8 ⋅ 2

Answer:

The HCF is 75

Step-by-step explanation:

Here, we want to get the highest common factors of the two numbers

To do this, we have to write the numbers as the product of their prime factors

We have;

3,000 = 2 * 2 * 2 * 3 * 5 * 5 * 5

525 = 3 * 5 * 5 * 7

now looking at this, we can see that in both numbers, we can have 3 * 5 * 5 taken out as it is common to both numbers

This represents the highest common factor of the two numbers

and that is 75

Answer:

-4.5

Step-by-step explanation:

[tex]6x+5.5=3x-8\\[/tex]

[tex]6x-3x=-8-5.5[/tex]

[tex]3x=-13.5[/tex]

[tex]x=\frac{-13.5}{3}[/tex]

[tex]x=-4.5[/tex]

Answer:

19a - 12b

Step-by-step explanation:

2(2a - b) + 5(3a - 2b)

4a - 2b + 15a - 10b

19a - 2b - 10b

19a - 12b

Answer:

I believe it is D

Step-by-step explanation:

We can first multiply the 2 and 4 together to get 8.

Wow we already eliminated A.

When you have negative powers, you can just replace it with their inverse and turn the power positive.

For example, 2 to the power of -3  (2 ^ -3) can be replaced by 1/2 to the power of 3 (1/2^-3).

So we now have 8  (x^4 / yx^2

We can then just subtract the x's power of 2, because when dividing exponents with the same variable or base, we can just subtract them.

For example, x^5  divided by x ^ 2 has the same base/ variable of x, and you can subtract the 5 by 2 to get x^3.

So we have 8 ( x^2y)

So 8x^2 y

D.

5/7 is 5÷7

so

5÷7 = 0.7142857143

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

x + (180 - 105) + (180 -140) = 180

x + 75 + 40 = 180

x = 180 -75 - 40

x = 65

Answer:

So If you start with sinØ = .5

your calculator is programmed to always give the closest angle to 0, and that would be 30°

You probably used the cosine law to find the first angle. A suggestion is to always find the largest angle first. If that happens to be an obtuse angle, your calculator will find the correct angle.

Of course there can only be one obtuse angle in a triangle, so using the sine law for your second angle does not result in any problems

notice that in your solution 78 and 102 add up to 180 , and sin 78 = sin(180-78) = sin 102

I would have found angle S first, the largest angle always opposite the largest side.

7^2 = 5^2 + 4^2 - 2(5)(4)cosØ

40cosØ = -8

cosØ = -8/40 = -1/5

Ø = 101.537°

Now you can use the sine law and you will find the correct other angles.

Step-by-step explanation:

Answer:

The sum is 10

Step-by-step explanation:

Given: 2 1/2 + 2 1/2 + 2 1/2 + 2 1/2

Rewrite: 4(2 1/2)

Make fraction improper: 4(5/2)

Distribute: 20/2

Simplify: 10

Answer:

B ; C ; D

Step-by-step explanation:

Number of faces on a number cube = 6

Sample space = (1, 2, 3, 4, 5, 6)

P(1 then 0)

P(1) = 1/6 ; P(0) = 0

P(1 then 0) = 1/6 * 0 = 0

P(even number then odd number) :

P(even number) = 3/6 = 1/2

P(odd) = 3/6 = 1/2

P(even number then odd number) = 1/2 * 1/2 = 1/4

P(6 then 2) :

P(6) = 1/6 ; P(2) = 1/6 = 1/2

P(6 then 2) = 1/6 * 1/6 = 1/36

P(even number then 5) :

P(even) = 3/6 = 1/2

P(5) = 1/6

P(even number then 5) = 1/2 * 1/6 = 1/12

P(odd number then 2) :

P(odd) = 3/6 = 1/2

P(2) = 1/6

P(odd number then 2) = 1/2 * 1/6 = 1/12

Answer:

3/32

Step-by-step explanation:

prob greater than 5

that would be 6,7 or 8

p = 3/8

prob purple

p = 1/4

Prob of both

p = 3/8 * 1/4

p = 3/32

Answer:

-3x^2+16x+64

Step-by-step explanation:

First, you need to find the area of both areas (the total area and the area of the unshaded part). Let's find the total area.

(x+8)(x+8)=x^2+16x+64

The total area is x^2+16x+64

(2x)(2x)=4x^2

The area of the unshaded part is 4x^2

Now we have to subtract to find the area of the shaded part.

x^2+16x+64-4x^2

-3x^2+16x+64

That is the answer

Hope this helped!! :D

Answer:

18.44 ..... hope this helps

Step-by-step explanation:

V=

4

3

π

r

3

Solving forr

r=

3

V

4

π

⅓

=

3

26244

4

π

⅓

≈

18.43517

Answer:

(-5,-5)

Step-by-step explanation:

Connect The points H and F so it forms a right angle

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

G = (-5,-5)

Step-by-step explanation:

d = sqrt (x^2 - x^1)^2 + (y^2 - y^1)^2

Let's use the coordinate pairs: (6,4) and (6,-5).

Input.

d = sqrt (6 - 6)^2 + (-5 - 4)^2

Solve.

d = sqrt 0 + (-9)^2

d = sqrt 0 + 81

d = sqrt 81

d = 9

Count 9 places back from (6, -5) , then you will arrive at (-5,-5).

Thus, the fourth vertex of the rectangle "EFGH" is (-5,-5) for G.

Answer:

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

The number of getting the black hair color clients will be 4.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given the of the clients who had their hair cut at Tanner's salon last month, 4 clients had black hair and 12 clients had hair in other colors.

The probability is:-

P = 4 / 12

The number of clients having black color hair is calculated as:-

Number = ( 4 / 12 ) x 12

Number =  4

Therefore, there will be 4 people getting black hair colors.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ6

Answer:

true

Step-by-step explanation:

It's hard for me to explain but let me know if it's right and if you need an explanation

Answer:

4ft

Step-by-step explanation:

to get the area of a square you multiply the sides together so you just find the square root of the area

Answer:

4 feet would be the legth of the squares side

Step-by-step explanation:

t16 is the squares area and the area of a square is length X width, since all the sides of a square are equal, we can just take the square root of  16 which is 4 feet.

Answer:

huh? explain better

Step-by-step explanation:

Answer:

it is an octagon; it is not regular

Answer:

y = 8x + 25

Step-by-step explanation:

Using the coordinates (10, 105) and (20, 185)

The standard linear equation is expressed as y = mx+c

m is the slope

c is the intercept

m = 185 - 105/20-10

m = 80/10

m = 8

Get the y-intercept

Since y = mx+c

105 = 8(10) + c

105 = 80 + c

c = 105 - 80

c = 25

Get the required equation

Recall that y = mx+c

y = 8x + 25

Hence the required equation is y = 8x + 25

Answer:

191 Feet.

Step-by-step explanation:

Answer: Your answer should be 191!

Answer:

x= 5/2

Step-by-step explanation:

Answer:

A. (5, 10), (-8, 2), (-1, 8), (-5, 10)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

im gonna guess its 30 but not 100% sure

Step-by-step explanation:

length = 3 + width

perimeter = 34

34 ÷ 2 = 17

width = x

3 +x + x = 17

3 + 2x = 17

2x = 14

x = 7

width = 7

Answer

x+y

Step-by-step explanation:

Answer:

it's 47 degree answer of your question