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2 years ago

rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR

Mathematics

1 answer:

weqwewe [10]2 years ago

6 0

QR =12 because you set up a proportion 21/14=x/8 then cross multiply and get 14x=168 then you divide and get 12

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The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a

LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

$dP/dt=P(aP-b)$

$dP=P(aP-b)dt$

$1/(dP^2-bP)dP=dt$

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

$1/(d-b/P)\cdot{P^2} dP$

let

$u=d-b/P$

$du/dP=b/P^2$

$dP=$ $\int\limits {P^2/b} \, du$

$P=lnu/b$

Substitute u in:

$P=ln(d-b/P)/b$

Therefore the equation is:

$ln(d-b/P)/b=t$

We simplify:

$d-b/P=e^b^t$

$P=b/(d-e^b^t)$

As t increases to infinity P will decrease

6 0

2 years ago

Further analysis of the data for the breakfast cereals in exercise 46 looked for an assocation between fiber content and calorie

photoshop1234 [79]

Complete Question:

Attached below as picture.

Answer:

From first graph there is no linear pattern so here linearity assumption violated.

From second graph there is observation is in some pattern like funnel or v shape so there is no constant variance occur that is there is no constant variance for error.

Constant variance for error occur when in residual plot all observation are in scatter everywhere.

From third graph we can say there is positive distribution but for regression analysis we need symmetric that is normal distribution.

Step-by-step explanation:

See graphs attached below.

8 0

3 years ago

If the first chapter of a certain book is 28 pages long and makes up 4% of the book, how many pages does the entire book have?

Schach [20]

Answer:

700 pages

Step-by-step explanation:

I first found out how many pages were in 1% so I divided 28 by 4.

I got 7 so I multiplied it by 100 and 700 was the answer.

Basically:

28÷4 = 7

7 x 100 = 700

I hope that kinda made sense!

8 0

2 years ago

One week the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet

garik1379 [7]

Answer:

Cost of Trumpets: $174

Cost of Clarinets: $149

Cost of Violins: $89

Step-by-step explanation:

Got it correct

4 0

2 years ago

Solve.<br> x^2+9x+2=0<br> thanks!

shtirl [24]

Step one:
ALWAYS set equation equal to zero, which in this case has already been done for us.

Step two:
Figure out what formula you need to use in order to solve in this case I'd use the Quadratic formula.

a=1
b=9
c=2

Quadratic formula:
$x = \frac{ - b + - \sqrt{(b) ^{2} - 4(a)(c)} }{2(a)}$
Then you would plug in the information.
$x = \frac{ - 9+ - \sqrt{(9) {}^{2} - 4(1)(2) } }{2(1)}$
The solve for what is underneath the square root ONLY.
$x = \frac{ - 9 + - \sqrt{73} }{2}$
Since you cannot solve this any further, your final two answers are...
$x = \frac{ - 9 + \sqrt{73} }{2}$
$x = \frac{ - 9 - \sqrt{73} }{2}$

3 0

3 years ago