MATHEMATICS HIGH SCHOOL

Malachy was thinking of a number. Malachy halves the number and gets an answer of 67.3.Form an equation with x from the information.

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the number be x.

ATQ,

Malachy halves the number and gets an answer of 67.3.

$(x)/(2)=67.3$

This the equation for the given statement.

It can also be written as :

$x=2* 67.3\n\nx=134.6$

Hence, this is the required solution.

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The slope of a direct variation function is -4. What is the equation of the function? y = 4 x
y = - 1/4 x
y = -4 x
y = x - 4

Answers

Answer:

y = -4 x

Step-by-step explanation:

the answer is y = x - 4

Which property of addition is shown below? a + bi + c + di = a + c + bi + di

Answers

I think the property of this addition problem is commutative property

If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 1000 mm2, what is the probability of getting a bull's-eye?A. 6%
B. 3%
C. 33%
D. 25%

Answers

Answer:

The correct option is B.

Step-by-step explanation:

It is given that the total area of a dartboard is 30,000 mm² and the area of the bull's-eye is 1000 mm².

The probability of getting a bull's-eye is

$\text{Probability of getting a bull's-eye}=\frac{\text{Area of the bull's-eye}}{\text{Total area}}$

$\text{Probability of getting a bull's-eye}=(1000)/(30000)$

$\text{Probability of getting a bull's-eye}=(1)/(30)$

$\text{Probability of getting a bull's-eye}=0.0333\approx 3\%$

Therefore the correct option is B.

chances of hitting bull's-eye is $(1000)/(30,000)$ that = $(1)/(30)$ 1-:30= 0.03= 3%

What is if g(x,y,z) = x + y and S is the first octant portion of the plane 2x + 3y + z = 6 ?

Answers

The question asks for the value of $I=\int\int_Sx+y\textrm{ }dS$ where $S=\{(x,y,z)\mid2x+3z+y=6,x\ge0,y\ge0,z\ge0\}$ .

First let's look at what that surface looks like.

Letting $y=z=0$ yields $x=3$
Letting $x=z=0$ yields $y=2$
Letting $x=y=0$ yields $z=6$

Therefore $S$ is the area of the triangle defined by the three points $(3,0,0),(0,2,0),(0,0,6)$ .

We can thus reformulate the integral as $I=\int_(z=0)^6\int_(x=0)^(6-z)x+ydxdz$ .

By definition on the plane $y=\frac{6-2x-z}3$ thus $I=\int_(z=0)^6\int_(x=0)^(6-z)x+\frac{6-2x-z}3dxdz=\int_(z=0)^6\int_(x=0)^(6-z)2+\frac x3-\frac z3 dxdz$

$I=\int_(z=0)^6\left[2x+\frac{x^2}6-\frac{zx}3\right]_(x=0)^(6-z)dz=\int_(z=0)^62(6-z)+\frac{(6-z)^2}6-\frac{z(6-z)}3\right]dz$

$I=\int_(z=0)^6\frac{z^2}2-6z+18=\left[\frac{z^ 3}6-3z^2+18z\right]_(z=0)^6=36-108+108$

Hence $\boxed{I=\int\int_Sx+y\textrm{ }dS=36}$

Q:What is the indicated term of the arithmetic sequence? someone help!!!!
a14 for 200,196,192...
A:
a. 148
b. 252
c. 144
d. 239

Answers

$a_1=200;\ a_2=196;\ a_3=192\n\nr=a_2-a_1\to r=126-200=-4\n\na_n=a_1+(n-1)r\n\na_n=200+(n-1)\cdot(-4)=200-4n+4=204-4n\n\na_(14)=204-4\cdot14=204-56=148\n\nAnswer:A$