The ____ is a metric unit for mass.A : Meter

B : Gram

C : Liter

Answers

Answer 1
Answer: The gram is a metric unit for mass.

Your answer is B: Gram

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A manufacturer of metal washers needs to determine the​ cross-sectional area of each washer. If the outer radius of the washer is R and the radius of the hole is​ r, express the area of the washer as a polynomial. Factor this polynomial completely.
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In which quadrant is the number -14 – 5i located on the complex plane? a.I b.II C.III D IV​

Answers

I believe It’s c.III (quadrant 3)

Which of the expressions below can be factored using the difference of squares method?A. 100x2 - 55y2
B. 100x2 + 49y2
C. 100x2 - 49y2
D. 100x2 + 55y2

Answers

The expression that can be factored using the difference of squares method:
C) 100x^(2)-49y^(2)
Factorization:
100x^(2)-49y^(2) = (10x+7y)*(10x-7y)

Verify the identity sec(beta) - 1 / cos(beta) = sec(beta)

Answers

(sec(\beta)-1)/(1-cos(\beta))=sec(\beta)

we know that

sec(\beta)=(1)/(cos(\beta))

then, lets replace it

((1)/(cos(\beta))-1)/(1-cos(\beta))=(1)/(cos(\beta))

multiple each member by cos(\beta)

(1-cos(\beta))/(1-cos(\beta))=1

simplifying

1=1

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side. By simplifying the expression step by step and using trigonometric identities, we can show that the given equation is true.

To verify the given identity sec(beta) - 1 / cos(beta) = sec(beta), we need to manipulate the left side of the equation to match the right side.

  1. Start by finding the common denominator of the fractions on the left side, which is cos(beta).
  2. The expression becomes (sec(beta) - 1)/cos(beta).
  3. Next, simplify the numerator: sec(beta) - 1 = (1/cos(beta)) - 1 = (1 - cos(beta))/cos(beta).
  4. Substituting this back into the original expression, we have (1 - cos(beta))/cos(beta) / cos(beta).
  5. Simplify further by multiplying the numerator and denominator by cos(beta) to get (1 - cos(beta))/(cos^2(beta)).
  6. Using the identity sec^2(beta) = 1 + tan^2(beta), we rewrite cos^2(beta) = 1 - sin^2(beta) as 1/(1 - sin^2(beta)).
  7. Therefore, (1 - cos(beta))/(cos^2(beta)) = (1 - cos(beta))/(1 - sin^2(beta)) = sec(beta).

Thus, we have verified that sec(beta) - 1 / cos(beta) = sec(beta).

Learn more about trigonometric here:

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Barney and Betty break into a parking meter with $5.05 in dimes and quarters in it, and agree that Barney get all the dimes, and Betty will get all the quarters. Barney ends up with five more coins than Betty. How much money did each get?

Answers

so remember that a quarter=25 cents and a dime=10 cents so
represent q=# of quarters
d=# of dimes

so barney gets dimes so replace barney with d and betty with q
barney get 5 more coins than betty
d=5+q
total=5.05=0.25q+0.10d since each is worth 0.25 and 0.10 so we have
d=5+q and 5.05=0.25q+0.10d
subsitue (5+q) for d
5.05=0.25q+0.10(5+q)
distribute
5.05=0.25q+0.50+0.10q
add like terms
5.05=0.35q+0.50
subtract 0.50 from both sides
4.55=0.35q
divide both sides by 0.35
13=q
subsitute
d=5+q
d=5+13
d=18

barney got 18 coins and betty got 13 coins



on monday a company stock close at a price of $30.80 per share on tuseday it increased by $1.20 per share on wenseday it fell by 6.25% on thursday it fell by another 4% and friday it increased by 2.5% what is the net change in the stock price from monday to friday

Answers

Tuesday:
30.80 + 1.20 = 32.00

Falling by 6.25% means it ends up being 93.75% of what it used to be (100% - 6.25% = 93.75%)

Wednesday:
32.00 * 0.9375 = 30

Thursday:
30 * 0.96 = 28.8

Friday:
28.8 * 1.025 = 29.52

Net change means you subtract to get the difference.

Net change = Final - initial
= 29.52 - 30.80
= -1.28

The stock fell $1.28

Hope this helps!

A gourment shop wants to mix coffe beans that cost $3.00 per pound with coffe beans that cost $4.25 per pound to create 25 pounds of a new blend that cost $3.50 per pound. Find the number of pounds of each nerded to produce the new blend

Answers

If the gourmet shopkeeper mix 15 pounds of coffee beans which costs 3.0$ per pound with 10 pounds of coffee beans costing 4.25$ per pound.
The mixture of 25 pounds will cost 3.5$ per pound.

It can be found using 
3*x + 4.25*(25 -x) = 25*3.50