Evaluate the algebraic expression 2x + y- z when w = 12, x = 10, 5 and z = 9

Help needed bad at math

ANTONII [103]

first and second part put 0.75, then multiply 0.75 by 2 to get 1.50, then write in the third part 1 and 1/2

hope this helps

6 0

2 years ago

The equation for a circle is x^2 − 8x + y^2 - 2y - 8 = 0

Ivanshal [37]

Answer:

B

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

To obtain this form use the method of completing the square

Given

x² - 8x + y² - 2y - 8 = 0 ( add 8 to both sides )

x² - 8x + y² - 2y = 8

add ( half the coefficient of the x/y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 8 + 16 + 1

(x - 4)² + (y - 1)² = 25 → B

6 0

2 years ago

Select the problems which show the correct answers. (1.12 x 105) (6.06 x 105) Answer: 6.79 x 1010 (2 x 101)(3.0 x 101) Answer: 6

Arisa [49]

Since multiplication is commutative, we can rearrange the problem:
$(1.12*10^5)(6.06*10^5) = (1.12*6.06)(10^5*10^5)$
Using the properties of exponents, we have:
$(1.12*6.06)(10^10)
\\=6.7872*10^10$

Again, multiplication is commutative, so we rearrange the problem; then we use the product property of exponents:
$(2*10^1)(3*10^1)
\\=(2*3)(10^1*10^1)
\\=6*10^2$

$(2.775*10^-^4)(4.775*10^4)
\\=(2.775*4.775)(10^-^4*10^4)
\\=(2.775*4.775)(10^0)
\\=(2.775*4.775)(1)
\\=2.775*4.775=13.250625=1.3250625*10^1$

$5(8.14*10^2)=(5*8.14)(10^2)=40.7*10^2=4.07*10^3$

6 0

3 years ago

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What’s the height of the can?

kondaur [170]

Answer:

5 inches

Step-by-step explanation:

The formula to find the surface area of a cylinder is A = 2πrh + 2πr²

Since we need the height we will need to solve for h

First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
Then we can divide both sides by 2πr to get $h=\frac{A-2\pi r^{2} }{2\pi r}$

Now we can plug in our known values and solve for h

Here we were given the diameter, d, however this formula is in terms of the radius, r.
The diameter is equivalent to double the radius, d = 2r
Therefore the radius is equivalent to half the diameter, $r=\frac{1}{2} d$
Plugging in d to solve for r we get $r=\frac{1}{2}(2)$ which simplifies to r = 1

The two variables for this equation we have no obtained, A = 12π and r = 1, so we can plug them into our equation to solve for the height

$h=\frac{12\pi -2\pi (1)^{2} }{2\pi (1)}=h=\frac{12\pi -2\pi }{2\pi }=\frac{10\pi }{2\pi } =5$
The height is 5 inches

4 0

3 years ago

Rudiy27

In the given question it is already mentioned that an adult drinks 54 fluid ounces of water daily. Also it is mentioned that Josey has already drank 700 milliliters of water.
Now fopr solving this problem we have to fist convert 64 ounces to liter and then convert 700 milliliter to liter and then only can we get the answer to the question.
We already know
1 ounce = 0.29 liter
64 ounce = 64 * 0.29 liter
   = 18.56 liter
So 18.56 liter is the daily recommendation for an adult to drink water
Again
1 milliliter = 0.001 liter
700 ml = 0.001 * 700 liter
   = 0.7 liter
So Josey has already drank 0.7 liters of water
Amount of water Josey still needs to drink = (18.56 - 0.7) liter
   = 17.86 liter

7 0

3 years ago

Read 2 more answers