MATHEMATICS COLLEGE

Solve the equation: b/5 + 15 =45
is answer 150

Answers

Answer 1
Answer:

Answer: The answer is 150.

Step-by-step explanation:

First of all, we need to use inverse operations to solve this arithmetical equation.

First, multiply both sides by 5.

5(B/5 + 15) = 5(45).

B + 75 = 225.

Now we need to use the inverse operation of addition to get B by itself.

The inverse operation of addition is subtraction. And so we must subtract each side by 75.

B + 75 - 75 = 225 - 75.

B = 150.

So it looks like you are correct. 150 is the answer.

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Question 20Identify the area of the polygon with vertices B (3, 2), C (7,-2), D (2,-4), and E (1, -2).
A = 19 units2
A = 17 units2
A = 30 units
A = 18 units2

Answers

9514 1404 393

Answer:

  (d)  A = 18 units²

Step-by-step explanation:

Line CE can be considered to be the base of two triangles. It is 6 units long. The upper triangle is 4 units high, and the lower triangle is 2 units high. The formula for the area of a triangle is ...

  A = 1/2bh

Then the sum of the areas of the two triangles is ...

  A = 1/2(6)(4) +1/2(6)(2) = 12 +6 = 18

The area of the polygon is 18 square units.

Answer: A=18units2

Step-by-step explanation:

I said 17 before and got it wrong lol.

Next time I said 18 cuz it seemed like the closest when I estimated what it looked like the units it covered, so it's right:)

hope it helps!

Meera needs 2 3/4 cups of flour for a batch of cookies and 3 1/3 flour for a dozen muffins. How many cups of flour does Meera need altogether? Show work out please ( for brainliest )

Answers

Answer:

6 cups.

2 3/4 X 3 1/3

Step-by-step explanation:

What is a variable term in mathematics?

Answers

A variable is a symbol for a unknown number. It does not have a fixed number. In fact, it could be any number until you find out what it is in a equation. Or, you can never find out what it is. Yes, it is conserved a term. Hope this helped!

Please answer asap.........

Answers

Answer:

1.4 i would wait for someone else to answer it I'm not sure

Step-by-step explanation:

Suppose you are climbing a hill whose shape is given by the equation z = 900 − 0.005x2 − 0.01y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (120, 80, 764). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend Correct: Your answer is correct.

Answers

Answer:

Ascend

Step-by-step explanation:

In order to solve this problem, we are going to use some principles of vector calculation. The concepts we are going to use are Partial derivatives, gradient vector, velocity vector, direction vector, and directional derivative.

The gradient vector is a vector that describes how is the 'slope' in the space of a multivariable function at a specified point; it is built as a vector of partial derivatives. The vector velocity is a vector that describes the direction and speed of the movement of a body, if we make the velocity a unitary vector (a vector whose norm is 1), we obtain the direction vector (because we are not considering the real norm of the vector, just direction). Finally, the directional derivative is a quantity (a scalar) that describes the slope that we get on a function if we make a displacement from a particular point in a specific direction.  

The problem we have here is a problem where we want to know how will be the slope of the hill if we stand in the point (120, 80, 764) and walk due south if the hill has a shape given by z=f(x,y). As you see, we have to find the directional derivative of z=f(x,y) at a specific point (120, 80, 764) in a given displacement direction; this directional derivative will give us the slope we need. The displacement direction 'u' is (0,-1): That is because 'y' axis points north and our displacement won't be to the east either west (zero for x component), just to south, which is the opposite direction of that which the y-axis is pointing (-1 for y component). Remember that the direction vector must be a unitary vector as u=(0,-1) is.

Let's find the gradient vector:

z=900-0.005x^2-0.01y^2\n(\partial z)/(\partial x)=-0.005*2*x=-0.01x\n(\partial z)/(\partial y)=-0.01*2*y=-0.02y\n \nabla (z)=(-0.01x,-0.02y)

Evaluate the gradient vector at (120,80) (764 is z=f(120,80); you may confirm)

\nabla (z(120,80))=(-0.01*120,-0.02*80)=(-1.2,-1.6)

Finally, find the directional derivative; if you don't remember, it can be found as a dot product of the gradient vector and the direction vector):

D_(u,P_0)= \nabla (z)_(P_0)\cdot u\nD_(u,P_0)= (-1.2,-1.6)\cdot (0,-1)=1.6

As you see, the slope we find is positive, which means that we are ascending at that displacement direction.

Sam is getting ready for a big date when he realizes that he has no money. His roommate, Bill, also has no money, but he has a credit card. Knowing that nobody will let Sam use Bill’s credit card, Sam asks Bill to pull out a cash advance for $120.00. Bill agrees under the condition that Sam is responsible for all interest that accrues on the cash advance which is a 30% interest rate, compounded monthly. 5 full years go by before the $120 cash advance is repaid. How much should Bill ask Sam to pay in interest for the cash advance? a.
$3.88
b.
$112.80
c.
$120.00
d.
$232.80

Answers

cash advance = 120

annual interest rate = 30% compounded monthly

term = 5 years

A = P (1 + r/n)^nt

A = future value of the cash advance

P = principal or value of cash advance


r = interest rate

n = times interest is compounded

t = terms or years

A = 120 (1 + 30%/12)^12 * 5

A = 120 (1 + 0.025)^60

A = 120 (1.025)^60

A = 120 (4.40)

A = 528

528 total amount including principal.
528 - 120 = 408 total interest paid 
I hope this helps!!

Answer:

I just took the test, the answer is B.) $112.80
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