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liubo4ka [24]
2 years ago
6

Joshua is a year older than his sister McKay. The product of their ages is 33 more than 7 times Joshua’s age. How old are Joshua

and McKay?
Mathematics
1 answer:
joja [24]2 years ago
6 0

Answer:

Joshua is 11 and Mckay is 10.

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Cos^3a-sin^3a/cosa-sina
KIM [24]

Answer:

1 + cosa sina

Step-by-step explanation:

\frac{cos^3a-sin^3a}{cosa-sina}

cos³a - sin³a ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

cos³a - sin³a

= (cosa - sina )(cos²a + cosa sina + sin²a)

= (cosa - sina)(1 + cosa sina) [ sin²a + cos²a = 1 ]

Then

\frac{cos^3a-sin^3a}{cosa-sina}

= \frac{(cosa-sina)(1+cosasina)}{cosa-sina} ← cancel (cosa - sina) on numerator/ denominator

= 1 + cosa sina

8 0
1 year ago
14 ) Mark Achin sells 3,600 electric motors each year . The cost of these is $ 200 each , and demand is constant throughout the
ANTONII [103]

Mark Achin's economic order quantity in units is <u>D. 120​ units</u>.

<h3>What is economic order quantity?</h3>

The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).

The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.

<h3>Data and Calculations:</h3>

Annual demand = 3,600

Cost price per unit = $200

Ordering cost = $40

Holding cost per unit = $20

Working days per year = 360

Lead time = 5 days

Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.

= square root of (2 x $40 x 3,600)/$20

= 120

Thus, Mark Achin's economic order quantity in units is <u>D. 120​ units</u>.

Learn more about the economic order quantity at brainly.com/question/13386271

#SPJ1

3 0
2 years ago
Help<br> Find the measure of angle x.<br> Skip<br> 142°<br> O<br> X =<br> [?]<br> X<br> Enter
Gre4nikov [31]
38 degrees.
EXPLANATION

There are 2 angles.

The angles must add up to 180.

So taking 180 and subtracting the already known angle, of 142.

Will get us with 38.

We can check the work by doing 38 + 142.

Hope this helps! have a gud day
6 0
2 years ago
-.075 - (-2/5) + .04 - 3/4
4vir4ik [10]

Answer:

-0.385

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Which of the following is the solution to the differential equation....
bixtya [17]

Answer:

B

Step-by-step explanation:

\frac{dy}{dx}= (x-2)(y-2)\\ y>2\\\frac{dy}{y-2}=(x-2)dx\\

integrate both side

<h2>∫\frac{dy}{y-2}=∫(x-2)dx\\</h2><h2>ln(y-2)=\frac{(x-2)^2}{2} +C\\</h2><h3>Substitute y(4)=5</h3><h3>ln3=2+C\\C=ln3-2</h3><h3>ln(y-2)=\frac{(x-2)^2}{2} +ln(3)-2\\y-2=e^{\frac{(x-2)^2}{2} +ln(3)-2}\\y=2+3e^{\frac{x^2}{2}-2x }</h3><h3 />
4 0
3 years ago
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